TSTP Solution File: SYN236-1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN236-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : Tue Apr 30 20:51:39 EDT 2024

% Result   : Unsatisfiable 0.18s 0.41s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  11 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  17   ~;  15   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

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

fof(f13,axiom,
    r0(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f197,axiom,
    ! [A] :
      ( p2(A,A,A)
      | ~ k1(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f253,axiom,
    ! [G,H] :
      ( l3(G,H)
      | ~ r0(G)
      | ~ p2(G,H,G) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ l3(e,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f382,plain,
    r0(e),
    inference(cnf_transformation,[status(esa)],[f13]) ).

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(f659,plain,
    ! [X0] :
      ( p2(X0,X0,X0)
      | ~ k1(X0) ),
    inference(cnf_transformation,[status(esa)],[f197]) ).

fof(f742,plain,
    ! [X0,X1] :
      ( l3(X0,X1)
      | ~ r0(X0)
      | ~ p2(X0,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f253]) ).

fof(f924,plain,
    ~ l3(e,e),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f963,plain,
    ( spl0_11
  <=> r0(e) ),
    introduced(split_symbol_definition) ).

fof(f965,plain,
    ( ~ r0(e)
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f963]) ).

fof(f2004,plain,
    k1(e),
    inference(resolution,[status(thm)],[f409,f372]) ).

fof(f2037,plain,
    ( $false
    | spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f965,f382]) ).

fof(f2038,plain,
    spl0_11,
    inference(contradiction_clause,[status(thm)],[f2037]) ).

fof(f2081,plain,
    p2(e,e,e),
    inference(resolution,[status(thm)],[f659,f2004]) ).

fof(f2201,plain,
    ( spl0_309
  <=> l3(e,e) ),
    introduced(split_symbol_definition) ).

fof(f2202,plain,
    ( l3(e,e)
    | ~ spl0_309 ),
    inference(component_clause,[status(thm)],[f2201]) ).

fof(f2204,plain,
    ( l3(e,e)
    | ~ r0(e) ),
    inference(resolution,[status(thm)],[f2081,f742]) ).

fof(f2205,plain,
    ( spl0_309
    | ~ spl0_11 ),
    inference(split_clause,[status(thm)],[f2204,f2201,f963]) ).

fof(f2208,plain,
    ( $false
    | ~ spl0_309 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2202,f924]) ).

fof(f2209,plain,
    ~ spl0_309,
    inference(contradiction_clause,[status(thm)],[f2208]) ).

fof(f2210,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2038,f2205,f2209]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.17  % Problem  : SYN236-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.17  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.38  % Computer : n024.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8042.1875MB
% 0.12/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Apr 29 21:59:51 EDT 2024
% 0.12/0.38  % CPUTime  : 
% 0.18/0.39  % Drodi V3.6.0
% 0.18/0.41  % Refutation found
% 0.18/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.42  % Elapsed time: 0.036814 seconds
% 0.18/0.42  % CPU time: 0.105694 seconds
% 0.18/0.42  % Total memory used: 16.808 MB
% 0.18/0.42  % Net memory used: 16.727 MB
%------------------------------------------------------------------------------