TSTP Solution File: SWC036-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWC036-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 : Wed May 31 12:38:58 EDT 2023

% Result   : Unsatisfiable 0.15s 0.54s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  12 unt;   0 def)
%            Number of atoms       :   34 (  19 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  11   ~;   9   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (;   0   !;   0   ?)

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

fof(f191,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f192,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f193,negated_conjecture,
    nil != sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f194,negated_conjecture,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f429,plain,
    nil = sk2,
    inference(cnf_transformation,[status(esa)],[f190]) ).

fof(f430,plain,
    sk2 = sk4,
    inference(cnf_transformation,[status(esa)],[f191]) ).

fof(f431,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f432,plain,
    nil != sk1,
    inference(cnf_transformation,[status(esa)],[f193]) ).

fof(f433,plain,
    ( nil = sk3
    | nil != sk4 ),
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f441,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(split_symbol_definition) ).

fof(f442,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f441]) ).

fof(f444,plain,
    ( spl0_3
  <=> nil = sk4 ),
    introduced(split_symbol_definition) ).

fof(f446,plain,
    ( nil != sk4
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f444]) ).

fof(f447,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f433,f441,f444]) ).

fof(f478,plain,
    nil = sk4,
    inference(forward_demodulation,[status(thm)],[f429,f430]) ).

fof(f481,plain,
    ( nil != nil
    | spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f478,f446]) ).

fof(f482,plain,
    ( $false
    | spl0_3 ),
    inference(trivial_equality_resolution,[status(esa)],[f481]) ).

fof(f483,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f482]) ).

fof(f484,plain,
    ( nil = sk1
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f431,f442]) ).

fof(f485,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f484,f432]) ).

fof(f486,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f485]) ).

fof(f487,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f447,f483,f486]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SWC036-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n024.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 11:21:48 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.15/0.54  % Refutation found
% 0.15/0.54  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54  % Elapsed time: 0.018809 seconds
% 0.15/0.54  % CPU time: 0.018392 seconds
% 0.15/0.54  % Memory used: 4.013 MB
%------------------------------------------------------------------------------