TSTP Solution File: CSR029+2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR029+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 20:14:24 EDT 2024

% Result   : Theorem 0.19s 0.38s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   62 (  10 unt;   0 def)
%            Number of atoms       :  130 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  116 (  48   ~;  47   |;   5   &)
%                                         (   8 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   9 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x4_y13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f128,axiom,
    ! [ARG1,ARG2] :
      ( geographicalsubregions(ARG1,ARG2)
     => inregion(ARG2,ARG1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f212,axiom,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f282,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f326,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f337,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f933,axiom,
    ! [X,Y,Z] :
      ( ( inregion(X,Y)
        & inregion(Y,Z) )
     => inregion(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1123,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1131,axiom,
    mtvisible(c_universalvocabularymt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1132,conjecture,
    ( mtvisible(c_tptpgeo_member3_mt)
   => ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
      & geolevel_3(c_georegion_l3_x4_y13) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member3_mt)
     => ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
        & geolevel_3(c_georegion_l3_x4_y13) ) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1309,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_3(c_georegion_l3_x4_y13) ),
    inference(pre_NNF_transformation,[status(esa)],[f121]) ).

fof(f1310,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_3(c_georegion_l3_x4_y13) ),
    inference(cnf_transformation,[status(esa)],[f1309]) ).

fof(f1320,plain,
    ! [ARG1,ARG2] :
      ( ~ geographicalsubregions(ARG1,ARG2)
      | inregion(ARG2,ARG1) ),
    inference(pre_NNF_transformation,[status(esa)],[f128]) ).

fof(f1321,plain,
    ! [X0,X1] :
      ( ~ geographicalsubregions(X0,X1)
      | inregion(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f1320]) ).

fof(f1444,plain,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[status(esa)],[f212]) ).

fof(f1543,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    inference(pre_NNF_transformation,[status(esa)],[f282]) ).

fof(f1544,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    inference(cnf_transformation,[status(esa)],[f1543]) ).

fof(f1611,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[status(esa)],[f326]) ).

fof(f1625,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    inference(pre_NNF_transformation,[status(esa)],[f337]) ).

fof(f1626,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    inference(cnf_transformation,[status(esa)],[f1625]) ).

fof(f2765,plain,
    ! [X,Y,Z] :
      ( ~ inregion(X,Y)
      | ~ inregion(Y,Z)
      | inregion(X,Z) ),
    inference(pre_NNF_transformation,[status(esa)],[f933]) ).

fof(f2766,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( ~ inregion(X,Y)
          | ~ inregion(Y,Z) )
      | inregion(X,Z) ),
    inference(miniscoping,[status(esa)],[f2765]) ).

fof(f2767,plain,
    ! [X0,X1,X2] :
      ( ~ inregion(X0,X1)
      | ~ inregion(X1,X2)
      | inregion(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f2766]) ).

fof(f3181,plain,
    ! [SPECMT,GENLMT] :
      ( ~ mtvisible(SPECMT)
      | ~ genlmt(SPECMT,GENLMT)
      | mtvisible(GENLMT) ),
    inference(pre_NNF_transformation,[status(esa)],[f1123]) ).

fof(f3182,plain,
    ! [GENLMT] :
      ( ! [SPECMT] :
          ( ~ mtvisible(SPECMT)
          | ~ genlmt(SPECMT,GENLMT) )
      | mtvisible(GENLMT) ),
    inference(miniscoping,[status(esa)],[f3181]) ).

fof(f3183,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(cnf_transformation,[status(esa)],[f3182]) ).

fof(f3203,plain,
    mtvisible(c_universalvocabularymt),
    inference(cnf_transformation,[status(esa)],[f1131]) ).

fof(f3204,plain,
    ( mtvisible(c_tptpgeo_member3_mt)
    & ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
      | ~ geolevel_3(c_georegion_l3_x4_y13) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f1133]) ).

fof(f3205,plain,
    mtvisible(c_tptpgeo_member3_mt),
    inference(cnf_transformation,[status(esa)],[f3204]) ).

fof(f3206,plain,
    ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
    | ~ geolevel_3(c_georegion_l3_x4_y13) ),
    inference(cnf_transformation,[status(esa)],[f3204]) ).

fof(f3275,plain,
    ( spl0_19
  <=> mtvisible(c_worldgeographymt) ),
    introduced(split_symbol_definition) ).

fof(f3278,plain,
    ( spl0_20
  <=> geolevel_3(c_georegion_l3_x4_y13) ),
    introduced(split_symbol_definition) ).

fof(f3281,plain,
    ( ~ spl0_19
    | spl0_20 ),
    inference(split_clause,[status(thm)],[f1310,f3275,f3278]) ).

fof(f3364,plain,
    ( spl0_43
  <=> mtvisible(c_tptpgeo_member3_mt) ),
    introduced(split_symbol_definition) ).

fof(f3366,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | spl0_43 ),
    inference(component_clause,[status(thm)],[f3364]) ).

fof(f3367,plain,
    ( spl0_44
  <=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    introduced(split_symbol_definition) ).

fof(f3368,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ spl0_44 ),
    inference(component_clause,[status(thm)],[f3367]) ).

fof(f3370,plain,
    ( ~ spl0_43
    | spl0_44 ),
    inference(split_clause,[status(thm)],[f1544,f3364,f3367]) ).

fof(f3406,plain,
    ( spl0_54
  <=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    introduced(split_symbol_definition) ).

fof(f3407,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ spl0_54 ),
    inference(component_clause,[status(thm)],[f3406]) ).

fof(f3409,plain,
    ( ~ spl0_43
    | spl0_54 ),
    inference(split_clause,[status(thm)],[f1626,f3364,f3406]) ).

fof(f3479,plain,
    ( spl0_73
  <=> inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    introduced(split_symbol_definition) ).

fof(f3481,plain,
    ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
    | spl0_73 ),
    inference(component_clause,[status(thm)],[f3479]) ).

fof(f3482,plain,
    ( ~ spl0_73
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f3206,f3479,f3278]) ).

fof(f3483,plain,
    ( spl0_74
  <=> mtvisible(c_tptpgeo_spindleheadmt) ),
    introduced(split_symbol_definition) ).

fof(f3486,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[status(thm)],[f3183,f1444]) ).

fof(f3487,plain,
    ( ~ spl0_43
    | spl0_74 ),
    inference(split_clause,[status(thm)],[f3486,f3364,f3483]) ).

fof(f3493,plain,
    ( $false
    | spl0_43 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3366,f3205]) ).

fof(f3494,plain,
    spl0_43,
    inference(contradiction_clause,[status(thm)],[f3493]) ).

fof(f3496,plain,
    ( inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13)
    | ~ spl0_54 ),
    inference(resolution,[status(thm)],[f3407,f1321]) ).

fof(f3497,plain,
    ! [X0] :
      ( ~ inregion(X0,c_georegion_l4_x14_y39)
      | inregion(X0,c_georegion_l3_x4_y13)
      | ~ spl0_54 ),
    inference(resolution,[status(thm)],[f3496,f2767]) ).

fof(f3498,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
    | ~ spl0_54
    | ~ spl0_44 ),
    inference(resolution,[status(thm)],[f3497,f3368]) ).

fof(f3499,plain,
    ( $false
    | spl0_73
    | ~ spl0_54
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3498,f3481]) ).

fof(f3500,plain,
    ( spl0_73
    | ~ spl0_54
    | ~ spl0_44 ),
    inference(contradiction_clause,[status(thm)],[f3499]) ).

fof(f3571,plain,
    ( spl0_91
  <=> mtvisible(c_universalvocabularymt) ),
    introduced(split_symbol_definition) ).

fof(f3573,plain,
    ( ~ mtvisible(c_universalvocabularymt)
    | spl0_91 ),
    inference(component_clause,[status(thm)],[f3571]) ).

fof(f3579,plain,
    ( $false
    | spl0_91 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3573,f3203]) ).

fof(f3580,plain,
    spl0_91,
    inference(contradiction_clause,[status(thm)],[f3579]) ).

fof(f3929,plain,
    ( ~ mtvisible(c_tptpgeo_spindleheadmt)
    | mtvisible(c_worldgeographymt) ),
    inference(resolution,[status(thm)],[f1611,f3183]) ).

fof(f3930,plain,
    ( ~ spl0_74
    | spl0_19 ),
    inference(split_clause,[status(thm)],[f3929,f3483,f3275]) ).

fof(f3931,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f3281,f3370,f3409,f3482,f3487,f3494,f3500,f3580,f3930]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR029+2 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 00:09:55 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.36  % Drodi V3.6.0
% 0.19/0.38  % Refutation found
% 0.19/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.39  % Elapsed time: 0.048876 seconds
% 0.19/0.39  % CPU time: 0.094753 seconds
% 0.19/0.39  % Total memory used: 20.551 MB
% 0.19/0.39  % Net memory used: 20.457 MB
%------------------------------------------------------------------------------