TSTP Solution File: CSR048+2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR048+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 20:14:37 EDT 2024

% Result   : Theorem 0.14s 0.39s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (   8 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   41 (  18   ~;  14   |;   3   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   14 (  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f140,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f207,axiom,
    ( mtvisible(c_tptpgeo_member1_mt)
   => borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f1132,conjecture,
    ? [ARG2] :
      ( mtvisible(c_tptpgeo_spindlecollectormt)
     => borderson(c_georegion_l4_x45_y9,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1133,negated_conjecture,
    ~ ? [ARG2] :
        ( mtvisible(c_tptpgeo_spindlecollectormt)
       => borderson(c_georegion_l4_x45_y9,ARG2) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1336,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
    inference(cnf_transformation,[status(esa)],[f140]) ).

fof(f1436,plain,
    ( ~ mtvisible(c_tptpgeo_member1_mt)
    | borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
    inference(pre_NNF_transformation,[status(esa)],[f207]) ).

fof(f1437,plain,
    ( ~ mtvisible(c_tptpgeo_member1_mt)
    | borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
    inference(cnf_transformation,[status(esa)],[f1436]) ).

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(f3204,plain,
    ! [ARG2] :
      ( mtvisible(c_tptpgeo_spindlecollectormt)
      & ~ borderson(c_georegion_l4_x45_y9,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f1133]) ).

fof(f3205,plain,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
    & ! [ARG2] : ~ borderson(c_georegion_l4_x45_y9,ARG2) ),
    inference(miniscoping,[status(esa)],[f3204]) ).

fof(f3206,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnf_transformation,[status(esa)],[f3205]) ).

fof(f3207,plain,
    ! [X0] : ~ borderson(c_georegion_l4_x45_y9,X0),
    inference(cnf_transformation,[status(esa)],[f3205]) ).

fof(f3343,plain,
    ( spl0_37
  <=> mtvisible(c_tptpgeo_member1_mt) ),
    introduced(split_symbol_definition) ).

fof(f3345,plain,
    ( ~ mtvisible(c_tptpgeo_member1_mt)
    | spl0_37 ),
    inference(component_clause,[status(thm)],[f3343]) ).

fof(f3346,plain,
    ( spl0_38
  <=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
    introduced(split_symbol_definition) ).

fof(f3347,plain,
    ( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
    | ~ spl0_38 ),
    inference(component_clause,[status(thm)],[f3346]) ).

fof(f3349,plain,
    ( ~ spl0_37
    | spl0_38 ),
    inference(split_clause,[status(thm)],[f1437,f3343,f3346]) ).

fof(f3483,plain,
    ! [X0] :
      ( ~ genlmt(c_tptpgeo_spindlecollectormt,X0)
      | mtvisible(X0) ),
    inference(resolution,[status(thm)],[f3183,f3206]) ).

fof(f3501,plain,
    mtvisible(c_tptpgeo_member1_mt),
    inference(resolution,[status(thm)],[f1336,f3483]) ).

fof(f3502,plain,
    ( $false
    | spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3501,f3345]) ).

fof(f3503,plain,
    spl0_37,
    inference(contradiction_clause,[status(thm)],[f3502]) ).

fof(f3504,plain,
    ( $false
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3347,f3207]) ).

fof(f3505,plain,
    ~ spl0_38,
    inference(contradiction_clause,[status(thm)],[f3504]) ).

fof(f3506,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f3349,f3503,f3505]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : CSR048+2 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 23:46:10 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.38  % Drodi V3.6.0
% 0.14/0.39  % Refutation found
% 0.14/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40  % Elapsed time: 0.049376 seconds
% 0.14/0.40  % CPU time: 0.079390 seconds
% 0.14/0.40  % Total memory used: 19.434 MB
% 0.14/0.40  % Net memory used: 19.400 MB
%------------------------------------------------------------------------------