%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : Tue Apr 30 20:35:13 EDT 2024

% Result   : Theorem 0.10s 0.35s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   32 (   8 unt;   0 def)
%            Number of atoms       :   81 (  17 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   84 (  35   ~;  27   |;   8   &)
%                                         (   5 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f84,hypothesis,
    ( aElementOf0(xi,szNzAzT0)
    & aElementOf0(xj,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f85,hypothesis,
    ( xi != xj
   => ( sdtlseqdt0(szszuzczcdt0(xj),xi)
      | sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f86,conjecture,
    ( ! [W0,W1] :
        ( ( aElementOf0(W0,szNzAzT0)
          & aElementOf0(W1,szNzAzT0) )
       => ( sdtlseqdt0(szszuzczcdt0(W0),W1)
         => ( aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
            & szmzizndt0(sdtlpdtrp0(xN,W1)) != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
   => ( xi != xj
     => szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f87,negated_conjecture,
    ~ ( ! [W0,W1] :
          ( ( aElementOf0(W0,szNzAzT0)
            & aElementOf0(W1,szNzAzT0) )
         => ( sdtlseqdt0(szszuzczcdt0(W0),W1)
           => ( aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
              & szmzizndt0(sdtlpdtrp0(xN,W1)) != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
     => ( xi != xj
       => szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ),
    inference(negated_conjecture,[status(cth)],[f86]) ).

fof(f373,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[status(esa)],[f84]) ).

fof(f374,plain,
    aElementOf0(xj,szNzAzT0),
    inference(cnf_transformation,[status(esa)],[f84]) ).

fof(f375,plain,
    ( xi = xj
    | sdtlseqdt0(szszuzczcdt0(xj),xi)
    | sdtlseqdt0(szszuzczcdt0(xi),xj) ),
    inference(pre_NNF_transformation,[status(esa)],[f85]) ).

fof(f376,plain,
    ( xi = xj
    | sdtlseqdt0(szszuzczcdt0(xj),xi)
    | sdtlseqdt0(szszuzczcdt0(xi),xj) ),
    inference(cnf_transformation,[status(esa)],[f375]) ).

fof(f377,plain,
    ( ! [W0,W1] :
        ( ~ aElementOf0(W0,szNzAzT0)
        | ~ aElementOf0(W1,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(W0),W1)
        | ( aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
          & szmzizndt0(sdtlpdtrp0(xN,W1)) != szmzizndt0(sdtlpdtrp0(xN,W0)) ) )
    & xi != xj
    & szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)) ),
    inference(pre_NNF_transformation,[status(esa)],[f87]) ).

fof(f379,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
      | szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[status(esa)],[f377]) ).

fof(f380,plain,
    xi != xj,
    inference(cnf_transformation,[status(esa)],[f377]) ).

fof(f381,plain,
    szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
    inference(cnf_transformation,[status(esa)],[f377]) ).

fof(f388,plain,
    ( spl0_0
  <=> xi = xj ),
    introduced(split_symbol_definition) ).

fof(f389,plain,
    ( xi = xj
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f388]) ).

fof(f391,plain,
    ( spl0_1
  <=> sdtlseqdt0(szszuzczcdt0(xj),xi) ),
    introduced(split_symbol_definition) ).

fof(f394,plain,
    ( spl0_2
  <=> sdtlseqdt0(szszuzczcdt0(xi),xj) ),
    introduced(split_symbol_definition) ).

fof(f397,plain,
    ( spl0_0
    | spl0_1
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f376,f388,f391,f394]) ).

fof(f439,plain,
    ( spl0_3
  <=> aElementOf0(xj,szNzAzT0) ),
    introduced(split_symbol_definition) ).

fof(f441,plain,
    ( ~ aElementOf0(xj,szNzAzT0)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f439]) ).

fof(f442,plain,
    ( spl0_4
  <=> aElementOf0(xi,szNzAzT0) ),
    introduced(split_symbol_definition) ).

fof(f444,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f442]) ).

fof(f445,plain,
    ( ~ aElementOf0(xj,szNzAzT0)
    | ~ aElementOf0(xi,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(xj),xi) ),
    inference(resolution,[status(thm)],[f379,f381]) ).

fof(f446,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f445,f439,f442,f391]) ).

fof(f447,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | ~ aElementOf0(xj,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(xi),xj) ),
    inference(resolution,[status(thm)],[f379,f381]) ).

fof(f448,plain,
    ( ~ spl0_4
    | ~ spl0_3
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f447,f442,f439,f394]) ).

fof(f461,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f389,f380]) ).

fof(f462,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f461]) ).

fof(f549,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f444,f373]) ).

fof(f550,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f549]) ).

fof(f551,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f441,f374]) ).

fof(f552,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f551]) ).

fof(f553,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f397,f446,f448,f462,f550,f552]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n005.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Mon Apr 29 20:42:56 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.10/0.34  % Drodi V3.6.0
% 0.10/0.35  % Refutation found
% 0.10/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.37  % Elapsed time: 0.028212 seconds
% 0.10/0.37  % CPU time: 0.036155 seconds
% 0.10/0.37  % Total memory used: 14.636 MB
% 0.10/0.37  % Net memory used: 14.596 MB
%------------------------------------------------------------------------------