%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM604+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 12:29:53 EDT 2023

% Result   : Theorem 4.71s 0.98s
% Output   : CNFRefutation 4.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (   8 unt;   0 def)
%            Number of atoms       :   52 (   6 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   42 (  14   ~;  12   |;  11   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f91,hypothesis,
    ( aFunction0(xe)
    & szDzozmdt0(xe) = szNzAzT0
    & ! [W0] :
        ( aElementOf0(W0,szNzAzT0)
       => ( aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0))
          & ! [W1] :
              ( aElementOf0(W1,sdtlpdtrp0(xN,W0))
             => sdtlseqdt0(sdtlpdtrp0(xe,W0),W1) )
          & sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,hypothesis,
    ( aElementOf0(xi,szNzAzT0)
    & sdtlpdtrp0(xe,xi) = xx ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f100,hypothesis,
    ( ! [W0] :
        ( aElementOf0(W0,sdtlpdtrp0(xN,xi))
       => aElementOf0(W0,xS) )
    & aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f101,conjecture,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f102,negated_conjecture,
    ~ aElementOf0(xx,xS),
    inference(negated_conjecture,[status(cth)],[f101]) ).

fof(f534,plain,
    ( aFunction0(xe)
    & szDzozmdt0(xe) = szNzAzT0
    & ! [W0] :
        ( ~ aElementOf0(W0,szNzAzT0)
        | ( aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0))
          & ! [W1] :
              ( ~ aElementOf0(W1,sdtlpdtrp0(xN,W0))
              | sdtlseqdt0(sdtlpdtrp0(xe,W0),W1) )
          & sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f91]) ).

fof(f537,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[status(esa)],[f534]) ).

fof(f591,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[status(esa)],[f99]) ).

fof(f592,plain,
    sdtlpdtrp0(xe,xi) = xx,
    inference(cnf_transformation,[status(esa)],[f99]) ).

fof(f593,plain,
    ( ! [W0] :
        ( ~ aElementOf0(W0,sdtlpdtrp0(xN,xi))
        | aElementOf0(W0,xS) )
    & aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    inference(pre_NNF_transformation,[status(esa)],[f100]) ).

fof(f594,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
      | aElementOf0(X0,xS) ),
    inference(cnf_transformation,[status(esa)],[f593]) ).

fof(f596,plain,
    ~ aElementOf0(xx,xS),
    inference(cnf_transformation,[status(esa)],[f102]) ).

fof(f3272,plain,
    ( spl0_474
  <=> aElementOf0(xi,szNzAzT0) ),
    introduced(split_symbol_definition) ).

fof(f3274,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | spl0_474 ),
    inference(component_clause,[status(thm)],[f3272]) ).

fof(f3320,plain,
    ( $false
    | spl0_474 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3274,f591]) ).

fof(f3321,plain,
    spl0_474,
    inference(contradiction_clause,[status(thm)],[f3320]) ).

fof(f3537,plain,
    ( spl0_528
  <=> aElementOf0(sdtlpdtrp0(xe,xi),xS) ),
    introduced(split_symbol_definition) ).

fof(f3538,plain,
    ( aElementOf0(sdtlpdtrp0(xe,xi),xS)
    | ~ spl0_528 ),
    inference(component_clause,[status(thm)],[f3537]) ).

fof(f3540,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | aElementOf0(sdtlpdtrp0(xe,xi),xS) ),
    inference(resolution,[status(thm)],[f537,f594]) ).

fof(f3541,plain,
    ( ~ spl0_474
    | spl0_528 ),
    inference(split_clause,[status(thm)],[f3540,f3272,f3537]) ).

fof(f3556,plain,
    ( aElementOf0(xx,xS)
    | ~ spl0_528 ),
    inference(forward_demodulation,[status(thm)],[f592,f3538]) ).

fof(f3557,plain,
    ( $false
    | ~ spl0_528 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3556,f596]) ).

fof(f3558,plain,
    ~ spl0_528,
    inference(contradiction_clause,[status(thm)],[f3557]) ).

fof(f3559,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f3321,f3541,f3558]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM604+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 09:55:22 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  % Drodi V3.5.1
% 4.71/0.98  % Refutation found
% 4.71/0.98  % SZS status Theorem for theBenchmark: Theorem is valid
% 4.71/0.98  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.71/0.98  % Elapsed time: 0.635536 seconds
% 4.71/0.98  % CPU time: 4.768417 seconds
% 4.71/0.98  % Memory used: 104.515 MB
%------------------------------------------------------------------------------