TSTP Solution File: CSR033+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR033+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 20:14:26 EDT 2024

% Result   : Theorem 0.17s 0.33s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   84 (  11 unt;   0 def)
%            Number of atoms       :  184 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  176 (  76   ~;  74   |;   5   &)
%                                         (  11 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;  12 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :   29 (  29   !;   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_spindlecollectormt,c_tptpgeo_member2_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_1(c_georegion_l1_x2_y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,axiom,
    ! [X,Y,Z] :
      ( ( inregion(X,Y)
        & inregion(Y,Z) )
     => inregion(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f62,conjecture,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
   => ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
      & geolevel_1(c_georegion_l1_x2_y0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f63,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_spindlecollectormt)
     => ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
        & geolevel_1(c_georegion_l1_x2_y0) ) ),
    inference(negated_conjecture,[status(cth)],[f62]) ).

fof(f68,plain,
    ! [ARG1,ARG2] :
      ( ~ geographicalsubregions(ARG1,ARG2)
      | inregion(ARG2,ARG1) ),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ geographicalsubregions(X0,X1)
      | inregion(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f68]) ).

fof(f72,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f73,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f74,plain,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f75,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f76,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_1(c_georegion_l1_x2_y0) ),
    inference(pre_NNF_transformation,[status(esa)],[f12]) ).

fof(f77,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_1(c_georegion_l1_x2_y0) ),
    inference(cnf_transformation,[status(esa)],[f76]) ).

fof(f78,plain,
    ( ~ mtvisible(c_tptpgeo_member2_mt)
    | geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f79,plain,
    ( ~ mtvisible(c_tptpgeo_member2_mt)
    | geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
    inference(cnf_transformation,[status(esa)],[f78]) ).

fof(f80,plain,
    ( ~ mtvisible(c_tptpgeo_member2_mt)
    | geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
    inference(pre_NNF_transformation,[status(esa)],[f14]) ).

fof(f81,plain,
    ( ~ mtvisible(c_tptpgeo_member2_mt)
    | geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
    inference(cnf_transformation,[status(esa)],[f80]) ).

fof(f82,plain,
    ( ~ mtvisible(c_tptpgeo_member2_mt)
    | geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f83,plain,
    ( ~ mtvisible(c_tptpgeo_member2_mt)
    | geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
    inference(cnf_transformation,[status(esa)],[f82]) ).

fof(f84,plain,
    ( ~ mtvisible(c_tptpgeo_member2_mt)
    | inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
    inference(pre_NNF_transformation,[status(esa)],[f16]) ).

fof(f85,plain,
    ( ~ mtvisible(c_tptpgeo_member2_mt)
    | inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
    inference(cnf_transformation,[status(esa)],[f84]) ).

fof(f162,plain,
    ! [X,Y,Z] :
      ( ~ inregion(X,Y)
      | ~ inregion(Y,Z)
      | inregion(X,Z) ),
    inference(pre_NNF_transformation,[status(esa)],[f45]) ).

fof(f163,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( ~ inregion(X,Y)
          | ~ inregion(Y,Z) )
      | inregion(X,Z) ),
    inference(miniscoping,[status(esa)],[f162]) ).

fof(f164,plain,
    ! [X0,X1,X2] :
      ( ~ inregion(X0,X1)
      | ~ inregion(X1,X2)
      | inregion(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f163]) ).

fof(f183,plain,
    ! [SPECMT,GENLMT] :
      ( ~ mtvisible(SPECMT)
      | ~ genlmt(SPECMT,GENLMT)
      | mtvisible(GENLMT) ),
    inference(pre_NNF_transformation,[status(esa)],[f53]) ).

fof(f184,plain,
    ! [GENLMT] :
      ( ! [SPECMT] :
          ( ~ mtvisible(SPECMT)
          | ~ genlmt(SPECMT,GENLMT) )
      | mtvisible(GENLMT) ),
    inference(miniscoping,[status(esa)],[f183]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(cnf_transformation,[status(esa)],[f184]) ).

fof(f206,plain,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
    & ( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
      | ~ geolevel_1(c_georegion_l1_x2_y0) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f63]) ).

fof(f207,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnf_transformation,[status(esa)],[f206]) ).

fof(f208,plain,
    ( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
    | ~ geolevel_1(c_georegion_l1_x2_y0) ),
    inference(cnf_transformation,[status(esa)],[f206]) ).

fof(f209,plain,
    ( spl0_0
  <=> mtvisible(c_worldgeographymt) ),
    introduced(split_symbol_definition) ).

fof(f212,plain,
    ( spl0_1
  <=> geolevel_1(c_georegion_l1_x2_y0) ),
    introduced(split_symbol_definition) ).

fof(f215,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f77,f209,f212]) ).

fof(f216,plain,
    ( spl0_2
  <=> mtvisible(c_tptpgeo_member2_mt) ),
    introduced(split_symbol_definition) ).

fof(f219,plain,
    ( spl0_3
  <=> geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
    introduced(split_symbol_definition) ).

fof(f220,plain,
    ( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f219]) ).

fof(f222,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f79,f216,f219]) ).

fof(f223,plain,
    ( spl0_4
  <=> geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
    introduced(split_symbol_definition) ).

fof(f224,plain,
    ( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f223]) ).

fof(f226,plain,
    ( ~ spl0_2
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f81,f216,f223]) ).

fof(f227,plain,
    ( spl0_5
  <=> geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
    introduced(split_symbol_definition) ).

fof(f228,plain,
    ( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f227]) ).

fof(f230,plain,
    ( ~ spl0_2
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f83,f216,f227]) ).

fof(f231,plain,
    ( spl0_6
  <=> inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
    introduced(split_symbol_definition) ).

fof(f232,plain,
    ( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f231]) ).

fof(f234,plain,
    ( ~ spl0_2
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f85,f216,f231]) ).

fof(f235,plain,
    ( spl0_7
  <=> inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ),
    introduced(split_symbol_definition) ).

fof(f237,plain,
    ( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f235]) ).

fof(f238,plain,
    ( ~ spl0_7
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f208,f235,f212]) ).

fof(f239,plain,
    ( spl0_8
  <=> mtvisible(c_tptpgeo_spindlecollectormt) ),
    introduced(split_symbol_definition) ).

fof(f241,plain,
    ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f239]) ).

fof(f242,plain,
    ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
    | mtvisible(c_tptpgeo_member2_mt) ),
    inference(resolution,[status(thm)],[f185,f73]) ).

fof(f243,plain,
    ( ~ spl0_8
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f242,f239,f216]) ).

fof(f244,plain,
    ( $false
    | spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f241,f207]) ).

fof(f245,plain,
    spl0_8,
    inference(contradiction_clause,[status(thm)],[f244]) ).

fof(f261,plain,
    ( spl0_12
  <=> mtvisible(c_tptpgeo_spindleheadmt) ),
    introduced(split_symbol_definition) ).

fof(f264,plain,
    ( ~ mtvisible(c_tptpgeo_spindleheadmt)
    | mtvisible(c_worldgeographymt) ),
    inference(resolution,[status(thm)],[f72,f185]) ).

fof(f265,plain,
    ( ~ spl0_12
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f264,f261,f209]) ).

fof(f266,plain,
    ( spl0_13
  <=> mtvisible(c_tptpgeo_member8_mt) ),
    introduced(split_symbol_definition) ).

fof(f269,plain,
    ( ~ mtvisible(c_tptpgeo_member8_mt)
    | mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[status(thm)],[f74,f185]) ).

fof(f270,plain,
    ( ~ spl0_13
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f269,f266,f261]) ).

fof(f271,plain,
    ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
    | mtvisible(c_tptpgeo_member8_mt) ),
    inference(resolution,[status(thm)],[f75,f185]) ).

fof(f272,plain,
    ( ~ spl0_8
    | spl0_13 ),
    inference(split_clause,[status(thm)],[f271,f239,f266]) ).

fof(f279,plain,
    ( inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0)
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f220,f69]) ).

fof(f280,plain,
    ! [X0] :
      ( ~ inregion(X0,c_georegion_l2_x8_y2)
      | inregion(X0,c_georegion_l1_x2_y0)
      | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f279,f164]) ).

fof(f284,plain,
    ( inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2)
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f224,f69]) ).

fof(f285,plain,
    ( inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0)
    | ~ spl0_4
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f284,f280]) ).

fof(f287,plain,
    ! [X0] :
      ( ~ inregion(X0,c_georegion_l3_x25_y7)
      | inregion(X0,c_georegion_l1_x2_y0)
      | ~ spl0_4
      | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f285,f164]) ).

fof(f290,plain,
    ( inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7)
    | ~ spl0_5 ),
    inference(resolution,[status(thm)],[f228,f69]) ).

fof(f302,plain,
    ! [X0] :
      ( ~ inregion(X0,c_georegion_l4_x76_y23)
      | inregion(X0,c_georegion_l3_x25_y7)
      | ~ spl0_5 ),
    inference(resolution,[status(thm)],[f290,f164]) ).

fof(f314,plain,
    ( inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(resolution,[status(thm)],[f302,f232]) ).

fof(f315,plain,
    ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_4
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f314,f287]) ).

fof(f316,plain,
    ( $false
    | spl0_7
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_4
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f315,f237]) ).

fof(f317,plain,
    ( spl0_7
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_4
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f316]) ).

fof(f318,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f215,f222,f226,f230,f234,f238,f243,f245,f265,f270,f272,f317]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : CSR033+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n010.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Apr 29 23:44:20 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.11/0.33  % Drodi V3.6.0
% 0.17/0.33  % Refutation found
% 0.17/0.33  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.35  % Elapsed time: 0.016705 seconds
% 0.17/0.35  % CPU time: 0.023764 seconds
% 0.17/0.35  % Total memory used: 7.055 MB
% 0.17/0.35  % Net memory used: 7.025 MB
%------------------------------------------------------------------------------