TSTP Solution File: SYN114-1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN114-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 20:51:21 EDT 2024

% Result   : Unsatisfiable 0.11s 0.27s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (   8 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   30 (  15   ~;  13   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [I,J] :
      ( k1(I)
      | ~ n0(J,I) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f174,axiom,
    ( m2(b)
    | ~ k1(b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f250,axiom,
    ! [B] :
      ( k3(B,B,B)
      | ~ m2(B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ! [X] : ~ k3(X,X,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f376,plain,
    n0(d,b),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f408,plain,
    ! [I] :
      ( k1(I)
      | ! [J] : ~ n0(J,I) ),
    inference(miniscoping,[status(esa)],[f39]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( k1(X0)
      | ~ n0(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f408]) ).

fof(f625,plain,
    ( m2(b)
    | ~ k1(b) ),
    inference(cnf_transformation,[status(esa)],[f174]) ).

fof(f738,plain,
    ! [X0] :
      ( k3(X0,X0,X0)
      | ~ m2(X0) ),
    inference(cnf_transformation,[status(esa)],[f250]) ).

fof(f924,plain,
    ! [X0] : ~ k3(X0,X0,b),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f1333,plain,
    ( spl0_114
  <=> m2(b) ),
    introduced(split_symbol_definition) ).

fof(f1334,plain,
    ( m2(b)
    | ~ spl0_114 ),
    inference(component_clause,[status(thm)],[f1333]) ).

fof(f1336,plain,
    ( spl0_115
  <=> k1(b) ),
    introduced(split_symbol_definition) ).

fof(f1338,plain,
    ( ~ k1(b)
    | spl0_115 ),
    inference(component_clause,[status(thm)],[f1336]) ).

fof(f1339,plain,
    ( spl0_114
    | ~ spl0_115 ),
    inference(split_clause,[status(thm)],[f625,f1333,f1336]) ).

fof(f2005,plain,
    k1(b),
    inference(resolution,[status(thm)],[f409,f376]) ).

fof(f2050,plain,
    ( $false
    | spl0_115 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1338,f2005]) ).

fof(f2051,plain,
    spl0_115,
    inference(contradiction_clause,[status(thm)],[f2050]) ).

fof(f2082,plain,
    ( k3(b,b,b)
    | ~ spl0_114 ),
    inference(resolution,[status(thm)],[f738,f1334]) ).

fof(f2083,plain,
    ( $false
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2082,f924]) ).

fof(f2084,plain,
    ~ spl0_114,
    inference(contradiction_clause,[status(thm)],[f2083]) ).

fof(f2085,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1339,f2051,f2084]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem  : SYN114-1 : TPTP v8.1.2. Released v1.1.0.
% 0.02/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n017.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Mon Apr 29 21:27:33 EDT 2024
% 0.06/0.25  % CPUTime  : 
% 0.11/0.26  % Drodi V3.6.0
% 0.11/0.27  % Refutation found
% 0.11/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.28  % Elapsed time: 0.019154 seconds
% 0.11/0.28  % CPU time: 0.040344 seconds
% 0.11/0.28  % Total memory used: 12.147 MB
% 0.11/0.28  % Net memory used: 12.117 MB
%------------------------------------------------------------------------------