TSTP Solution File: SWC405-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC405-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 20:45:40 EDT 2024

% Result   : Unsatisfiable 0.15s 0.37s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   25 (  13 unt;   0 def)
%            Number of atoms       :   41 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  16   ~;  14   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f190,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f191,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f192,negated_conjecture,
    ! [A] :
      ( ~ ssItem(A)
      | memberP(sk4,A)
      | ~ memberP(sk3,A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f194,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f195,negated_conjecture,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f196,negated_conjecture,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f431,plain,
    sk2 = sk4,
    inference(cnf_transformation,[status(esa)],[f190]) ).

fof(f432,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(esa)],[f191]) ).

fof(f433,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | memberP(sk4,X0)
      | ~ memberP(sk3,X0) ),
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f435,plain,
    ssItem(sk5),
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f436,plain,
    memberP(sk1,sk5),
    inference(cnf_transformation,[status(esa)],[f195]) ).

fof(f437,plain,
    ~ memberP(sk2,sk5),
    inference(cnf_transformation,[status(esa)],[f196]) ).

fof(f476,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | memberP(sk2,X0)
      | ~ memberP(sk3,X0) ),
    inference(forward_demodulation,[status(thm)],[f431,f433]) ).

fof(f477,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | memberP(sk2,X0)
      | ~ memberP(sk1,X0) ),
    inference(forward_demodulation,[status(thm)],[f432,f476]) ).

fof(f478,plain,
    ( spl0_2
  <=> ssItem(sk5) ),
    introduced(split_symbol_definition) ).

fof(f480,plain,
    ( ~ ssItem(sk5)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f478]) ).

fof(f481,plain,
    ( spl0_3
  <=> memberP(sk2,sk5) ),
    introduced(split_symbol_definition) ).

fof(f482,plain,
    ( memberP(sk2,sk5)
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f481]) ).

fof(f484,plain,
    ( ~ ssItem(sk5)
    | memberP(sk2,sk5) ),
    inference(resolution,[status(thm)],[f477,f436]) ).

fof(f485,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f484,f478,f481]) ).

fof(f486,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f480,f435]) ).

fof(f487,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f486]) ).

fof(f488,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f482,f437]) ).

fof(f489,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f488]) ).

fof(f490,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f485,f487,f489]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC405-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Apr 30 00:05:19 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.15/0.37  % Drodi V3.6.0
% 0.15/0.37  % Refutation found
% 0.15/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.39  % Elapsed time: 0.029401 seconds
% 0.15/0.39  % CPU time: 0.040391 seconds
% 0.15/0.39  % Total memory used: 14.179 MB
% 0.15/0.39  % Net memory used: 14.157 MB
%------------------------------------------------------------------------------