%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM620+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 20:35:22 EDT 2024

% Result   : Theorem 38.21s 5.18s
% Output   : CNFRefutation 38.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   55 (   6 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   47 (  15   ~;  11   |;  13   &)
%                                         (   2 <=>;   6  =>;   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    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   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(f115,hypothesis,
    ( aElementOf0(xm,szNzAzT0)
    & xx = sdtlpdtrp0(xe,xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f117,conjecture,
    ( ( ! [W0] :
          ( aElementOf0(W0,sdtlpdtrp0(xN,xm))
         => aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
      & aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
   => aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f118,negated_conjecture,
    ~ ( ( ! [W0] :
            ( aElementOf0(W0,sdtlpdtrp0(xN,xm))
           => aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
        & aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
     => aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(negated_conjecture,[status(cth)],[f117]) ).

fof(f550,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(f553,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[status(esa)],[f550]) ).

fof(f666,plain,
    aElementOf0(xm,szNzAzT0),
    inference(cnf_transformation,[status(esa)],[f115]) ).

fof(f667,plain,
    xx = sdtlpdtrp0(xe,xm),
    inference(cnf_transformation,[status(esa)],[f115]) ).

fof(f670,plain,
    ( ! [W0] :
        ( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
        | aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
    & aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
    & ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(pre_NNF_transformation,[status(esa)],[f118]) ).

fof(f671,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
      | aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(cnf_transformation,[status(esa)],[f670]) ).

fof(f673,plain,
    ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(cnf_transformation,[status(esa)],[f670]) ).

fof(f839,plain,
    ~ aElementOf0(xx,sdtlpdtrp0(xN,xm)),
    inference(resolution,[status(thm)],[f671,f673]) ).

fof(f1386,plain,
    ( spl0_95
  <=> aElementOf0(xm,szNzAzT0) ),
    introduced(split_symbol_definition) ).

fof(f1388,plain,
    ( ~ aElementOf0(xm,szNzAzT0)
    | spl0_95 ),
    inference(component_clause,[status(thm)],[f1386]) ).

fof(f1411,plain,
    ( $false
    | spl0_95 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1388,f666]) ).

fof(f1412,plain,
    spl0_95,
    inference(contradiction_clause,[status(thm)],[f1411]) ).

fof(f13251,plain,
    ( spl0_1388
  <=> aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
    introduced(split_symbol_definition) ).

fof(f13252,plain,
    ( aElementOf0(xx,sdtlpdtrp0(xN,xm))
    | ~ spl0_1388 ),
    inference(component_clause,[status(thm)],[f13251]) ).

fof(f13254,plain,
    ( ~ aElementOf0(xm,szNzAzT0)
    | aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
    inference(paramodulation,[status(thm)],[f667,f553]) ).

fof(f13255,plain,
    ( ~ spl0_95
    | spl0_1388 ),
    inference(split_clause,[status(thm)],[f13254,f1386,f13251]) ).

fof(f13280,plain,
    ( $false
    | ~ spl0_1388 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13252,f839]) ).

fof(f13281,plain,
    ~ spl0_1388,
    inference(contradiction_clause,[status(thm)],[f13280]) ).

fof(f13282,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1412,f13255,f13281]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : NUM620+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n010.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Mon Apr 29 20:42:20 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.16/0.34  % Drodi V3.6.0
% 38.21/5.18  % Refutation found
% 38.21/5.18  % SZS status Theorem for theBenchmark: Theorem is valid
% 38.21/5.18  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 38.21/5.19  % Elapsed time: 4.855687 seconds
% 38.21/5.19  % CPU time: 38.226470 seconds
% 38.21/5.19  % Total memory used: 224.202 MB
% 38.21/5.19  % Net memory used: 219.529 MB
%------------------------------------------------------------------------------