%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM602+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   33 (   6 unt;   0 def)
%            Number of atoms       :   82 (  23 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   76 (  27   ~;  22   |;  22   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   21 (;  14   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f97,hypothesis,
    ! [W0] :
      ( ( ? [W1] :
            ( aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
            & sdtlpdtrp0(xe,W1) = W0 )
        | aElementOf0(W0,xO) )
     => ? [W1] :
          ( aElementOf0(W1,szNzAzT0)
          & sdtlpdtrp0(xd,W1) = szDzizrdt0(xd)
          & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,W1) = W0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f98,hypothesis,
    ( ? [W0] :
        ( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & sdtlpdtrp0(xe,W0) = xx )
    & aElementOf0(xx,xO) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f99,conjecture,
    ? [W0] :
      ( aElementOf0(W0,szNzAzT0)
      & sdtlpdtrp0(xe,W0) = xx ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f100,negated_conjecture,
    ~ ? [W0] :
        ( aElementOf0(W0,szNzAzT0)
        & sdtlpdtrp0(xe,W0) = xx ),
    inference(negated_conjecture,[status(cth)],[f99]) ).

fof(f577,plain,
    ! [W0] :
      ( ( ! [W1] :
            ( ~ aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
            | sdtlpdtrp0(xe,W1) != W0 )
        & ~ aElementOf0(W0,xO) )
      | ? [W1] :
          ( aElementOf0(W1,szNzAzT0)
          & sdtlpdtrp0(xd,W1) = szDzizrdt0(xd)
          & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,W1) = W0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f97]) ).

fof(f578,plain,
    ! [W0] :
      ( pd0_9(W0)
     => ( ! [W1] :
            ( ~ aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
            | sdtlpdtrp0(xe,W1) != W0 )
        & ~ aElementOf0(W0,xO) ) ),
    introduced(predicate_definition,[f577]) ).

fof(f579,plain,
    ! [W0] :
      ( pd0_9(W0)
      | ? [W1] :
          ( aElementOf0(W1,szNzAzT0)
          & sdtlpdtrp0(xd,W1) = szDzizrdt0(xd)
          & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,W1) = W0 ) ),
    inference(formula_renaming,[status(thm)],[f577,f578]) ).

fof(f580,plain,
    ! [W0] :
      ( pd0_9(W0)
      | ( aElementOf0(sk0_35(W0),szNzAzT0)
        & sdtlpdtrp0(xd,sk0_35(W0)) = szDzizrdt0(xd)
        & aElementOf0(sk0_35(W0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & sdtlpdtrp0(xe,sk0_35(W0)) = W0 ) ),
    inference(skolemization,[status(esa)],[f579]) ).

fof(f581,plain,
    ! [X0] :
      ( pd0_9(X0)
      | aElementOf0(sk0_35(X0),szNzAzT0) ),
    inference(cnf_transformation,[status(esa)],[f580]) ).

fof(f584,plain,
    ! [X0] :
      ( pd0_9(X0)
      | sdtlpdtrp0(xe,sk0_35(X0)) = X0 ),
    inference(cnf_transformation,[status(esa)],[f580]) ).

fof(f585,plain,
    ( aElementOf0(sk0_36,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & sdtlpdtrp0(xe,sk0_36) = xx
    & aElementOf0(xx,xO) ),
    inference(skolemization,[status(esa)],[f98]) ).

fof(f588,plain,
    aElementOf0(xx,xO),
    inference(cnf_transformation,[status(esa)],[f585]) ).

fof(f589,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,szNzAzT0)
      | sdtlpdtrp0(xe,W0) != xx ),
    inference(pre_NNF_transformation,[status(esa)],[f100]) ).

fof(f590,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | sdtlpdtrp0(xe,X0) != xx ),
    inference(cnf_transformation,[status(esa)],[f589]) ).

fof(f684,plain,
    ! [W0] :
      ( ~ pd0_9(W0)
      | ( ! [W1] :
            ( ~ aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
            | sdtlpdtrp0(xe,W1) != W0 )
        & ~ aElementOf0(W0,xO) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f578]) ).

fof(f686,plain,
    ! [X0] :
      ( ~ pd0_9(X0)
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[status(esa)],[f684]) ).

fof(f1320,plain,
    ( spl0_90
  <=> xx = xx ),
    introduced(split_symbol_definition) ).

fof(f1322,plain,
    ( xx != xx
    | spl0_90 ),
    inference(component_clause,[status(thm)],[f1320]) ).

fof(f1325,plain,
    ~ pd0_9(xx),
    inference(resolution,[status(thm)],[f686,f588]) ).

fof(f1504,plain,
    ( $false
    | spl0_90 ),
    inference(trivial_equality_resolution,[status(esa)],[f1322]) ).

fof(f1505,plain,
    spl0_90,
    inference(contradiction_clause,[status(thm)],[f1504]) ).

fof(f5619,plain,
    sdtlpdtrp0(xe,sk0_35(xx)) = xx,
    inference(resolution,[status(thm)],[f584,f1325]) ).

fof(f5623,plain,
    ( spl0_964
  <=> pd0_9(xx) ),
    introduced(split_symbol_definition) ).

fof(f5624,plain,
    ( pd0_9(xx)
    | ~ spl0_964 ),
    inference(component_clause,[status(thm)],[f5623]) ).

fof(f5686,plain,
    ( spl0_977
  <=> aElementOf0(sk0_35(xx),szNzAzT0) ),
    introduced(split_symbol_definition) ).

fof(f5688,plain,
    ( ~ aElementOf0(sk0_35(xx),szNzAzT0)
    | spl0_977 ),
    inference(component_clause,[status(thm)],[f5686]) ).

fof(f5689,plain,
    ( ~ aElementOf0(sk0_35(xx),szNzAzT0)
    | xx != xx ),
    inference(paramodulation,[status(thm)],[f5619,f590]) ).

fof(f5690,plain,
    ( ~ spl0_977
    | ~ spl0_90 ),
    inference(split_clause,[status(thm)],[f5689,f5686,f1320]) ).

fof(f5691,plain,
    ( $false
    | ~ spl0_964 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5624,f1325]) ).

fof(f5692,plain,
    ~ spl0_964,
    inference(contradiction_clause,[status(thm)],[f5691]) ).

fof(f5773,plain,
    ( pd0_9(xx)
    | spl0_977 ),
    inference(resolution,[status(thm)],[f5688,f581]) ).

fof(f5774,plain,
    ( spl0_964
    | spl0_977 ),
    inference(split_clause,[status(thm)],[f5773,f5623,f5686]) ).

fof(f5775,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1505,f5690,f5692,f5774]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : NUM602+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n031.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 10:11:52 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.38  % Drodi V3.5.1
% 0.19/0.48  % Refutation found
% 0.19/0.48  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.50  % Elapsed time: 0.150705 seconds
% 0.19/0.50  % CPU time: 0.616263 seconds
% 0.19/0.50  % Memory used: 73.155 MB
%------------------------------------------------------------------------------