TSTP Solution File: SYN112-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN112-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 12:46:01 EDT 2023

% Result   : Unsatisfiable 0.21s 0.37s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   24 (  12   ~;  10   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ! [G,H] :
      ( l1(G,G)
      | ~ n0(H,G) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f168,axiom,
    ( k2(e,e)
    | ~ l1(e,e) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ! [X] : ~ k2(e,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f372,plain,
    n0(d,e),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f410,plain,
    ! [G] :
      ( l1(G,G)
      | ! [H] : ~ n0(H,G) ),
    inference(miniscoping,[status(esa)],[f40]) ).

fof(f411,plain,
    ! [X0,X1] :
      ( l1(X0,X0)
      | ~ n0(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f410]) ).

fof(f615,plain,
    ( k2(e,e)
    | ~ l1(e,e) ),
    inference(cnf_transformation,[status(esa)],[f168]) ).

fof(f924,plain,
    ! [X0] : ~ k2(e,X0),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f1311,plain,
    ( spl0_108
  <=> k2(e,e) ),
    introduced(split_symbol_definition) ).

fof(f1312,plain,
    ( k2(e,e)
    | ~ spl0_108 ),
    inference(component_clause,[status(thm)],[f1311]) ).

fof(f1314,plain,
    ( spl0_109
  <=> l1(e,e) ),
    introduced(split_symbol_definition) ).

fof(f1316,plain,
    ( ~ l1(e,e)
    | spl0_109 ),
    inference(component_clause,[status(thm)],[f1314]) ).

fof(f1317,plain,
    ( spl0_108
    | ~ spl0_109 ),
    inference(split_clause,[status(thm)],[f615,f1311,f1314]) ).

fof(f2050,plain,
    l1(e,e),
    inference(resolution,[status(thm)],[f411,f372]) ).

fof(f2051,plain,
    ( $false
    | spl0_109 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2050,f1316]) ).

fof(f2052,plain,
    spl0_109,
    inference(contradiction_clause,[status(thm)],[f2051]) ).

fof(f2060,plain,
    ( $false
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1312,f924]) ).

fof(f2061,plain,
    ~ spl0_108,
    inference(contradiction_clause,[status(thm)],[f2060]) ).

fof(f2062,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1317,f2052,f2061]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN112-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n005.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 May 30 10:26:51 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.21/0.36  % Drodi V3.5.1
% 0.21/0.37  % Refutation found
% 0.21/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.29/0.59  % Elapsed time: 0.026215 seconds
% 0.29/0.59  % CPU time: 0.073653 seconds
% 0.29/0.59  % Memory used: 11.276 MB
%------------------------------------------------------------------------------