TSTP Solution File: CSR059+1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR059+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 20:14:45 EDT 2024

% Result   : Theorem 0.11s 0.34s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   31 (   7 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   49 (  21   ~;  18   |;   2   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ( mtvisible(c_tptpgeo_member5_mt)
   => borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ! [X,Y] :
      ( borderson(X,Y)
     => borderson(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f40,conjecture,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
   => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f41,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_spindlecollectormt)
     => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    inference(negated_conjecture,[status(cth)],[f40]) ).

fof(f42,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f43,plain,
    ( ~ mtvisible(c_tptpgeo_member5_mt)
    | borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f44,plain,
    ( ~ mtvisible(c_tptpgeo_member5_mt)
    | borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    inference(cnf_transformation,[status(esa)],[f43]) ).

fof(f118,plain,
    ! [X,Y] :
      ( ~ borderson(X,Y)
      | borderson(Y,X) ),
    inference(pre_NNF_transformation,[status(esa)],[f29]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ~ borderson(X0,X1)
      | borderson(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f118]) ).

fof(f121,plain,
    ! [SPECMT,GENLMT] :
      ( ~ mtvisible(SPECMT)
      | ~ genlmt(SPECMT,GENLMT)
      | mtvisible(GENLMT) ),
    inference(pre_NNF_transformation,[status(esa)],[f31]) ).

fof(f122,plain,
    ! [GENLMT] :
      ( ! [SPECMT] :
          ( ~ mtvisible(SPECMT)
          | ~ genlmt(SPECMT,GENLMT) )
      | mtvisible(GENLMT) ),
    inference(miniscoping,[status(esa)],[f121]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(cnf_transformation,[status(esa)],[f122]) ).

fof(f144,plain,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
    & ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    inference(pre_NNF_transformation,[status(esa)],[f41]) ).

fof(f145,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnf_transformation,[status(esa)],[f144]) ).

fof(f146,plain,
    ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(cnf_transformation,[status(esa)],[f144]) ).

fof(f147,plain,
    ( spl0_0
  <=> mtvisible(c_tptpgeo_member5_mt) ),
    introduced(split_symbol_definition) ).

fof(f150,plain,
    ( spl0_1
  <=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    introduced(split_symbol_definition) ).

fof(f151,plain,
    ( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f150]) ).

fof(f153,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f44,f147,f150]) ).

fof(f154,plain,
    ( spl0_2
  <=> mtvisible(c_tptpgeo_spindlecollectormt) ),
    introduced(split_symbol_definition) ).

fof(f156,plain,
    ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f154]) ).

fof(f157,plain,
    ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
    | mtvisible(c_tptpgeo_member5_mt) ),
    inference(resolution,[status(thm)],[f123,f42]) ).

fof(f158,plain,
    ( ~ spl0_2
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f157,f154,f147]) ).

fof(f159,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f156,f145]) ).

fof(f160,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f159]) ).

fof(f177,plain,
    ( borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f151,f119]) ).

fof(f178,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f177,f146]) ).

fof(f179,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f178]) ).

fof(f180,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f153,f158,f160,f179]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR059+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n018.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Apr 29 23:56:28 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.11/0.34  % Drodi V3.6.0
% 0.11/0.34  % Refutation found
% 0.11/0.34  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.37  % Elapsed time: 0.019557 seconds
% 0.11/0.37  % CPU time: 0.017060 seconds
% 0.11/0.37  % Total memory used: 3.789 MB
% 0.11/0.37  % Net memory used: 3.705 MB
%------------------------------------------------------------------------------