TSTP Solution File: NUM520+1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM520+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 20:35:00 EDT 2024

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   29 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  14   ~;   8   |;   2   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f46,hypothesis,
    ~ ( xk = sz00
      | xk = sz10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f47,hypothesis,
    ~ ( xk != sz00
      & xk != sz10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f182,plain,
    ( xk != sz00
    & xk != sz10 ),
    inference(pre_NNF_transformation,[status(esa)],[f46]) ).

fof(f183,plain,
    xk != sz00,
    inference(cnf_transformation,[status(esa)],[f182]) ).

fof(f184,plain,
    xk != sz10,
    inference(cnf_transformation,[status(esa)],[f182]) ).

fof(f185,plain,
    ( xk = sz00
    | xk = sz10 ),
    inference(pre_NNF_transformation,[status(esa)],[f47]) ).

fof(f186,plain,
    ( xk = sz00
    | xk = sz10 ),
    inference(cnf_transformation,[status(esa)],[f185]) ).

fof(f190,plain,
    ( spl0_0
  <=> xk = sz00 ),
    introduced(split_symbol_definition) ).

fof(f191,plain,
    ( xk = sz00
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f190]) ).

fof(f193,plain,
    ( spl0_1
  <=> xk = sz10 ),
    introduced(split_symbol_definition) ).

fof(f194,plain,
    ( xk = sz10
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f193]) ).

fof(f196,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f186,f190,f193]) ).

fof(f261,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f191,f183]) ).

fof(f262,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f261]) ).

fof(f263,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f194,f184]) ).

fof(f264,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f263]) ).

fof(f265,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f196,f262,f264]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM520+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n008.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 : Mon Apr 29 20:38:57 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38  % Elapsed time: 0.023720 seconds
% 0.13/0.38  % CPU time: 0.039326 seconds
% 0.13/0.38  % Total memory used: 13.444 MB
% 0.13/0.38  % Net memory used: 13.431 MB
%------------------------------------------------------------------------------