TSTP Solution File: SWC040-1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC040-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 20:44:16 EDT 2024

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% 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/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

fof(f433,plain,
    nil = sk2,
    inference(cnf_transformation,[status(esa)],[f190]) ).

fof(f434,plain,
    sk2 = sk4,
    inference(cnf_transformation,[status(esa)],[f191]) ).

fof(f435,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f436,plain,
    nil != sk1,
    inference(cnf_transformation,[status(esa)],[f193]) ).

fof(f437,plain,
    ( nil = sk3
    | nil != sk4 ),
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f449,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(split_symbol_definition) ).

fof(f450,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f449]) ).

fof(f452,plain,
    ( spl0_3
  <=> nil = sk4 ),
    introduced(split_symbol_definition) ).

fof(f454,plain,
    ( nil != sk4
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f452]) ).

fof(f455,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f437,f449,f452]) ).

fof(f505,plain,
    nil = sk4,
    inference(forward_demodulation,[status(thm)],[f433,f434]) ).

fof(f508,plain,
    ( nil != nil
    | spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f505,f454]) ).

fof(f509,plain,
    ( $false
    | spl0_3 ),
    inference(trivial_equality_resolution,[status(esa)],[f508]) ).

fof(f510,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f509]) ).

fof(f511,plain,
    ( nil = sk1
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f435,f450]) ).

fof(f512,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f511,f436]) ).

fof(f513,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f512]) ).

fof(f514,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f455,f510,f513]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC040-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 00:41:55 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.026254 seconds
% 0.13/0.37  % CPU time: 0.039043 seconds
% 0.13/0.37  % Total memory used: 14.261 MB
% 0.13/0.37  % Net memory used: 14.239 MB
%------------------------------------------------------------------------------