%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : RNG087+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 12:32:51 EDT 2023

% Result   : Theorem 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% 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(f28,conjecture,
    ? [W0,W1] :
      ( aElementOf0(W0,xI)
      & aElementOf0(W1,xJ)
      & xy = sdtpldt0(W0,W1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    ~ ? [W0,W1] :
        ( aElementOf0(W0,xI)
        & aElementOf0(W1,xJ)
        & xy = sdtpldt0(W0,W1) ),
    inference(negated_conjecture,[status(cth)],[f28]) ).

fof(f124,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(f129,plain,
    aElementOf0(sk0_13,xI),
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f130,plain,
    aElementOf0(sk0_14,xJ),
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f131,plain,
    sdtpldt0(sk0_13,sk0_14) = xy,
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f137,plain,
    ! [W0,W1] :
      ( ~ aElementOf0(W0,xI)
      | ~ aElementOf0(W1,xJ)
      | xy != sdtpldt0(W0,W1) ),
    inference(pre_NNF_transformation,[status(esa)],[f29]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X0,xI)
      | ~ aElementOf0(X1,xJ)
      | xy != sdtpldt0(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f137]) ).

fof(f205,plain,
    ( spl0_11
  <=> aElementOf0(sk0_13,xI) ),
    introduced(split_symbol_definition) ).

fof(f207,plain,
    ( ~ aElementOf0(sk0_13,xI)
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f205]) ).

fof(f208,plain,
    ( spl0_12
  <=> aElementOf0(sk0_14,xJ) ),
    introduced(split_symbol_definition) ).

fof(f210,plain,
    ( ~ aElementOf0(sk0_14,xJ)
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f208]) ).

fof(f211,plain,
    ( ~ aElementOf0(sk0_13,xI)
    | ~ aElementOf0(sk0_14,xJ) ),
    inference(resolution,[status(thm)],[f131,f138]) ).

fof(f212,plain,
    ( ~ spl0_11
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f211,f205,f208]) ).

fof(f250,plain,
    ( $false
    | spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f207,f129]) ).

fof(f251,plain,
    spl0_11,
    inference(contradiction_clause,[status(thm)],[f250]) ).

fof(f252,plain,
    ( $false
    | spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f210,f130]) ).

fof(f253,plain,
    spl0_12,
    inference(contradiction_clause,[status(thm)],[f252]) ).

fof(f254,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f212,f251,f253]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : RNG087+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue May 30 11:03:44 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.13/0.38  % Refutation found
% 0.13/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38  % Elapsed time: 0.024854 seconds
% 0.13/0.38  % CPU time: 0.035007 seconds
% 0.13/0.38  % Memory used: 14.871 MB
%------------------------------------------------------------------------------