%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM548+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : Wed May 31 12:29:39 EDT 2023

% Result   : Theorem 0.16s 0.54s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (  11 unt;   0 def)
%            Number of atoms       :   61 (   3 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   51 (  18   ~;  17   |;   9   &)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (;   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,axiom,
    ! [W0] :
      ( aSet0(W0)
     => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
      <=> isFinite0(W0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f61,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f65,hypothesis,
    ( aSet0(xQ)
    & ! [W0] :
        ( aElementOf0(W0,xQ)
       => aElementOf0(W0,xS) )
    & aSubsetOf0(xQ,xS)
    & sbrdtbr0(xQ) = xk
    & aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f66,conjecture,
    isFinite0(xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f67,negated_conjecture,
    ~ isFinite0(xQ),
    inference(negated_conjecture,[status(cth)],[f66]) ).

fof(f184,plain,
    ! [W0] :
      ( ~ aSet0(W0)
      | ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
      <=> isFinite0(W0) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f41]) ).

fof(f185,plain,
    ! [W0] :
      ( ~ aSet0(W0)
      | ( ( ~ aElementOf0(sbrdtbr0(W0),szNzAzT0)
          | isFinite0(W0) )
        & ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
          | ~ isFinite0(W0) ) ) ),
    inference(NNF_transformation,[status(esa)],[f184]) ).

fof(f186,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
      | isFinite0(X0) ),
    inference(cnf_transformation,[status(esa)],[f185]) ).

fof(f266,plain,
    aElementOf0(xk,szNzAzT0),
    inference(cnf_transformation,[status(esa)],[f61]) ).

fof(f301,plain,
    ( aSet0(xQ)
    & ! [W0] :
        ( ~ aElementOf0(W0,xQ)
        | aElementOf0(W0,xS) )
    & aSubsetOf0(xQ,xS)
    & sbrdtbr0(xQ) = xk
    & aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
    inference(pre_NNF_transformation,[status(esa)],[f65]) ).

fof(f302,plain,
    aSet0(xQ),
    inference(cnf_transformation,[status(esa)],[f301]) ).

fof(f305,plain,
    sbrdtbr0(xQ) = xk,
    inference(cnf_transformation,[status(esa)],[f301]) ).

fof(f307,plain,
    ~ isFinite0(xQ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f348,plain,
    ( spl0_2
  <=> isFinite0(xQ) ),
    introduced(split_symbol_definition) ).

fof(f349,plain,
    ( isFinite0(xQ)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f348]) ).

fof(f353,plain,
    ( spl0_3
  <=> aSet0(xQ) ),
    introduced(split_symbol_definition) ).

fof(f355,plain,
    ( ~ aSet0(xQ)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f353]) ).

fof(f356,plain,
    ( spl0_4
  <=> aElementOf0(xk,szNzAzT0) ),
    introduced(split_symbol_definition) ).

fof(f358,plain,
    ( ~ aElementOf0(xk,szNzAzT0)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f356]) ).

fof(f359,plain,
    ( ~ aSet0(xQ)
    | ~ aElementOf0(xk,szNzAzT0)
    | isFinite0(xQ) ),
    inference(paramodulation,[status(thm)],[f305,f186]) ).

fof(f360,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f359,f353,f356,f348]) ).

fof(f361,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f355,f302]) ).

fof(f362,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f361]) ).

fof(f365,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f349,f307]) ).

fof(f366,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f365]) ).

fof(f461,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f358,f266]) ).

fof(f462,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f461]) ).

fof(f463,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f360,f362,f366,f462]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : NUM548+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n024.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 09:57:48 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.16/0.54  % Refutation found
% 0.16/0.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54  % Elapsed time: 0.016371 seconds
% 0.16/0.54  % CPU time: 0.018149 seconds
% 0.16/0.54  % Memory used: 3.980 MB
%------------------------------------------------------------------------------