%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : RNG104+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 20:38:00 EDT 2024

% Result   : Theorem 0.15s 0.39s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   46 (  15 unt;   0 def)
%            Number of atoms       :  103 (  26 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   94 (  37   ~;  34   |;  17   &)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   29 (  27   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [W0,W1] :
      ( ( aElement0(W0)
        & aElement0(W1) )
     => aElement0(sdtasdt0(W0,W1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [W0,W1] :
      ( ( aElement0(W0)
        & aElement0(W1) )
     => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [W0,W1,W2] :
      ( ( aElement0(W0)
        & aElement0(W1)
        & aElement0(W2) )
     => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,hypothesis,
    aElement0(xc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,hypothesis,
    ( ? [W0] :
        ( aElement0(W0)
        & sdtasdt0(xc,W0) = xx )
    & aElementOf0(xx,slsdtgt0(xc))
    & ? [W0] :
        ( aElement0(W0)
        & sdtasdt0(xc,W0) = xy )
    & aElementOf0(xy,slsdtgt0(xc))
    & aElement0(xz) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,hypothesis,
    ( aElement0(xu)
    & sdtasdt0(xc,xu) = xx ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,conjecture,
    sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,negated_conjecture,
    sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
    inference(negated_conjecture,[status(cth)],[f43]) ).

fof(f54,plain,
    ! [W0,W1] :
      ( ~ aElement0(W0)
      | ~ aElement0(W1)
      | aElement0(sdtasdt0(W0,W1)) ),
    inference(pre_NNF_transformation,[status(esa)],[f6]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aElement0(X1)
      | aElement0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f54]) ).

fof(f66,plain,
    ! [W0,W1] :
      ( ~ aElement0(W0)
      | ~ aElement0(W1)
      | sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
    inference(pre_NNF_transformation,[status(esa)],[f11]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f66]) ).

fof(f68,plain,
    ! [W0,W1,W2] :
      ( ~ aElement0(W0)
      | ~ aElement0(W1)
      | ~ aElement0(W2)
      | sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ),
    inference(pre_NNF_transformation,[status(esa)],[f12]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ aElement0(X2)
      | sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f68]) ).

fof(f195,plain,
    aElement0(xc),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f196,plain,
    ( aElement0(sk0_20)
    & sdtasdt0(xc,sk0_20) = xx
    & aElementOf0(xx,slsdtgt0(xc))
    & aElement0(sk0_21)
    & sdtasdt0(xc,sk0_21) = xy
    & aElementOf0(xy,slsdtgt0(xc))
    & aElement0(xz) ),
    inference(skolemization,[status(esa)],[f39]) ).

fof(f203,plain,
    aElement0(xz),
    inference(cnf_transformation,[status(esa)],[f196]) ).

fof(f204,plain,
    aElement0(xu),
    inference(cnf_transformation,[status(esa)],[f40]) ).

fof(f205,plain,
    sdtasdt0(xc,xu) = xx,
    inference(cnf_transformation,[status(esa)],[f40]) ).

fof(f209,plain,
    sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
    inference(cnf_transformation,[status(esa)],[f44]) ).

fof(f236,plain,
    ( spl0_0
  <=> aElement0(xc) ),
    introduced(split_symbol_definition) ).

fof(f238,plain,
    ( ~ aElement0(xc)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f236]) ).

fof(f239,plain,
    ( spl0_1
  <=> aElement0(xu) ),
    introduced(split_symbol_definition) ).

fof(f241,plain,
    ( ~ aElement0(xu)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f239]) ).

fof(f242,plain,
    ( spl0_2
  <=> aElement0(xx) ),
    introduced(split_symbol_definition) ).

fof(f243,plain,
    ( aElement0(xx)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f242]) ).

fof(f245,plain,
    ( ~ aElement0(xc)
    | ~ aElement0(xu)
    | aElement0(xx) ),
    inference(paramodulation,[status(thm)],[f205,f55]) ).

fof(f246,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f245,f236,f239,f242]) ).

fof(f247,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f241,f204]) ).

fof(f248,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f247]) ).

fof(f249,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f238,f195]) ).

fof(f250,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f249]) ).

fof(f251,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(X0,xx) = sdtasdt0(xx,X0)
      | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f67,f243]) ).

fof(f253,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(X0,xu) = sdtasdt0(xu,X0) ),
    inference(resolution,[status(thm)],[f67,f204]) ).

fof(f258,plain,
    ( sdtasdt0(xz,xx) = sdtasdt0(xx,xz)
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f251,f203]) ).

fof(f265,plain,
    ( sdtasdt0(xx,xz) != sdtasdt0(xc,sdtasdt0(xu,xz))
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f258,f209]) ).

fof(f283,plain,
    sdtasdt0(xz,xu) = sdtasdt0(xu,xz),
    inference(resolution,[status(thm)],[f253,f203]) ).

fof(f288,plain,
    ( sdtasdt0(xx,xz) != sdtasdt0(xc,sdtasdt0(xz,xu))
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f283,f265]) ).

fof(f299,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtasdt0(sdtasdt0(X0,xu),X1) = sdtasdt0(X0,sdtasdt0(xu,X1)) ),
    inference(resolution,[status(thm)],[f69,f204]) ).

fof(f445,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(sdtasdt0(X0,xu),xz) = sdtasdt0(X0,sdtasdt0(xu,xz)) ),
    inference(resolution,[status(thm)],[f299,f203]) ).

fof(f446,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(sdtasdt0(X0,xu),xz) = sdtasdt0(X0,sdtasdt0(xz,xu)) ),
    inference(forward_demodulation,[status(thm)],[f283,f445]) ).

fof(f479,plain,
    sdtasdt0(sdtasdt0(xc,xu),xz) = sdtasdt0(xc,sdtasdt0(xz,xu)),
    inference(resolution,[status(thm)],[f446,f195]) ).

fof(f480,plain,
    sdtasdt0(xx,xz) = sdtasdt0(xc,sdtasdt0(xz,xu)),
    inference(forward_demodulation,[status(thm)],[f205,f479]) ).

fof(f481,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f480,f288]) ).

fof(f482,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f481]) ).

fof(f483,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f246,f248,f250,f482]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : RNG104+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n023.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Mon Apr 29 22:32:10 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.15/0.31  % Drodi V3.6.0
% 0.15/0.39  % Refutation found
% 0.15/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.40  % Elapsed time: 0.089647 seconds
% 0.15/0.40  % CPU time: 0.477980 seconds
% 0.15/0.40  % Total memory used: 69.427 MB
% 0.15/0.40  % Net memory used: 68.846 MB
%------------------------------------------------------------------------------