%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : RNG086+2 : 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 : Tue Apr 30 20:37:56 EDT 2024

% Result   : Theorem 0.08s 0.30s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   52 (   9 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   45 (  13   ~;  10   |;  20   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   12 (   4   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,hypothesis,
    ( ? [W0,W1] :
        ( aElementOf0(W0,xI)
        & aElementOf0(W1,xJ)
        & sdtpldt0(W0,W1) = xx )
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & ? [W0,W1] :
        ( aElementOf0(W0,xI)
        & aElementOf0(W1,xJ)
        & sdtpldt0(W0,W1) = xy )
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,conjecture,
    ? [W0,W1] :
      ( aElementOf0(W0,xI)
      & aElementOf0(W1,xJ)
      & xx = sdtpldt0(W0,W1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    ~ ? [W0,W1] :
        ( aElementOf0(W0,xI)
        & aElementOf0(W1,xJ)
        & xx = sdtpldt0(W0,W1) ),
    inference(negated_conjecture,[status(cth)],[f27]) ).

fof(f123,plain,
    ( aElementOf0(sk0_11,xI)
    & aElementOf0(sk0_12,xJ)
    & sdtpldt0(sk0_11,sk0_12) = xx
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & aElementOf0(sk0_13,xI)
    & aElementOf0(sk0_14,xJ)
    & sdtpldt0(sk0_13,sk0_14) = xy
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz) ),
    inference(skolemization,[status(esa)],[f26]) ).

fof(f124,plain,
    aElementOf0(sk0_11,xI),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f125,plain,
    aElementOf0(sk0_12,xJ),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f126,plain,
    sdtpldt0(sk0_11,sk0_12) = xx,
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f133,plain,
    ! [W0,W1] :
      ( ~ aElementOf0(W0,xI)
      | ~ aElementOf0(W1,xJ)
      | xx != sdtpldt0(W0,W1) ),
    inference(pre_NNF_transformation,[status(esa)],[f28]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X0,xI)
      | ~ aElementOf0(X1,xJ)
      | xx != sdtpldt0(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f154,plain,
    ( spl0_0
  <=> aElementOf0(sk0_11,xI) ),
    introduced(split_symbol_definition) ).

fof(f156,plain,
    ( ~ aElementOf0(sk0_11,xI)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f154]) ).

fof(f157,plain,
    ( spl0_1
  <=> aElementOf0(sk0_12,xJ) ),
    introduced(split_symbol_definition) ).

fof(f159,plain,
    ( ~ aElementOf0(sk0_12,xJ)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f157]) ).

fof(f160,plain,
    ( ~ aElementOf0(sk0_11,xI)
    | ~ aElementOf0(sk0_12,xJ) ),
    inference(resolution,[status(thm)],[f126,f134]) ).

fof(f161,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f160,f154,f157]) ).

fof(f199,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f156,f124]) ).

fof(f200,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f199]) ).

fof(f201,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f159,f125]) ).

fof(f202,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f201]) ).

fof(f203,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f161,f200,f202]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem  : RNG086+2 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29  % Computer : n031.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 300
% 0.08/0.29  % DateTime : Mon Apr 29 22:52:13 EDT 2024
% 0.08/0.29  % CPUTime  : 
% 0.08/0.30  % Drodi V3.6.0
% 0.08/0.30  % Refutation found
% 0.08/0.30  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.30  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.31  % Elapsed time: 0.015661 seconds
% 0.14/0.31  % CPU time: 0.023197 seconds
% 0.14/0.31  % Total memory used: 13.268 MB
% 0.14/0.31  % Net memory used: 13.216 MB
%------------------------------------------------------------------------------