%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : RNG046+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 12:32:42 EDT 2023

% Result   : Theorem 0.16s 0.34s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   42 (  11 unt;   0 def)
%            Number of atoms       :   98 (  41 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   89 (  33   ~;  31   |;  19   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (;  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W0)
        & aScalar0(W1) )
     => aScalar0(sdtasdt0(W0,W1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [W0] :
      ( aScalar0(W0)
     => aScalar0(smndt0(W0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [W0] :
      ( aScalar0(W0)
     => ( sdtpldt0(W0,sz0z00) = W0
        & sdtpldt0(sz0z00,W0) = W0
        & sdtasdt0(W0,sz0z00) = sz0z00
        & sdtasdt0(sz0z00,W0) = sz0z00
        & sdtpldt0(W0,smndt0(W0)) = sz0z00
        & sdtpldt0(smndt0(W0),W0) = sz0z00
        & smndt0(smndt0(W0)) = W0
        & smndt0(sz0z00) = sz0z00 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W0)
        & aScalar0(W1) )
     => ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
        & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,hypothesis,
    ( aScalar0(xx)
    & aScalar0(xy) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,conjecture,
    sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f44,plain,
    ! [W0,W1] :
      ( ~ aScalar0(W0)
      | ~ aScalar0(W1)
      | aScalar0(sdtasdt0(W0,W1)) ),
    inference(pre_NNF_transformation,[status(esa)],[f11]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | aScalar0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f44]) ).

fof(f46,plain,
    ! [W0] :
      ( ~ aScalar0(W0)
      | aScalar0(smndt0(W0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f12]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | aScalar0(smndt0(X0)) ),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f48,plain,
    ! [W0] :
      ( ~ aScalar0(W0)
      | ( sdtpldt0(W0,sz0z00) = W0
        & sdtpldt0(sz0z00,W0) = W0
        & sdtasdt0(W0,sz0z00) = sz0z00
        & sdtasdt0(sz0z00,W0) = sz0z00
        & sdtpldt0(W0,smndt0(W0)) = sz0z00
        & sdtpldt0(smndt0(W0),W0) = sz0z00
        & smndt0(smndt0(W0)) = W0
        & smndt0(sz0z00) = sz0z00 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | smndt0(smndt0(X0)) = X0 ),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f67,plain,
    ! [W0,W1] :
      ( ~ aScalar0(W0)
      | ~ aScalar0(W1)
      | ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
        & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f17]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f70,plain,
    aScalar0(xx),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f71,plain,
    aScalar0(xy),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f72,plain,
    sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | smndt0(smndt0(sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) ),
    inference(resolution,[status(thm)],[f45,f55]) ).

fof(f103,plain,
    ( spl0_7
  <=> aScalar0(xx) ),
    introduced(split_symbol_definition) ).

fof(f105,plain,
    ( ~ aScalar0(xx)
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f103]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtasdt0(X0,smndt0(xy)) = smndt0(sdtasdt0(X0,xy)) ),
    inference(resolution,[status(thm)],[f68,f71]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
      | ~ aScalar0(X1) ),
    inference(resolution,[status(thm)],[f69,f47]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtasdt0(smndt0(X0),xy) = smndt0(sdtasdt0(X0,xy)) ),
    inference(resolution,[status(thm)],[f69,f71]) ).

fof(f127,plain,
    sdtasdt0(smndt0(xx),xy) = smndt0(sdtasdt0(xx,xy)),
    inference(resolution,[status(thm)],[f122,f70]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | smndt0(smndt0(sdtasdt0(X0,xy))) = sdtasdt0(X0,xy) ),
    inference(resolution,[status(thm)],[f91,f71]) ).

fof(f157,plain,
    ( spl0_11
  <=> sdtasdt0(xx,smndt0(xy)) = sdtasdt0(smndt0(xx),xy) ),
    introduced(split_symbol_definition) ).

fof(f158,plain,
    ( sdtasdt0(xx,smndt0(xy)) = sdtasdt0(smndt0(xx),xy)
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f157]) ).

fof(f160,plain,
    ( ~ aScalar0(xx)
    | sdtasdt0(xx,smndt0(xy)) = sdtasdt0(smndt0(xx),xy) ),
    inference(paramodulation,[status(thm)],[f127,f118]) ).

fof(f161,plain,
    ( ~ spl0_7
    | spl0_11 ),
    inference(split_clause,[status(thm)],[f160,f103,f157]) ).

fof(f183,plain,
    ( sdtasdt0(xx,smndt0(xy)) = smndt0(sdtasdt0(xx,xy))
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f158,f127]) ).

fof(f217,plain,
    ( $false
    | spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f105,f70]) ).

fof(f218,plain,
    spl0_7,
    inference(contradiction_clause,[status(thm)],[f217]) ).

fof(f334,plain,
    smndt0(smndt0(sdtasdt0(xx,xy))) = sdtasdt0(xx,xy),
    inference(resolution,[status(thm)],[f155,f70]) ).

fof(f335,plain,
    ( smndt0(sdtasdt0(xx,smndt0(xy))) = sdtasdt0(xx,xy)
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f183,f334]) ).

fof(f420,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtasdt0(smndt0(X0),smndt0(xy)) = smndt0(sdtasdt0(X0,smndt0(xy))) ),
    inference(resolution,[status(thm)],[f121,f71]) ).

fof(f504,plain,
    sdtasdt0(smndt0(xx),smndt0(xy)) = smndt0(sdtasdt0(xx,smndt0(xy))),
    inference(resolution,[status(thm)],[f420,f70]) ).

fof(f505,plain,
    ( sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy)
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f335,f504]) ).

fof(f506,plain,
    ( $false
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f505,f72]) ).

fof(f507,plain,
    ~ spl0_11,
    inference(contradiction_clause,[status(thm)],[f506]) ).

fof(f508,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f161,f218,f507]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : RNG046+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n012.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 10:32:25 EDT 2023
% 0.16/0.31  % CPUTime  : 
% 0.16/0.32  % Drodi V3.5.1
% 0.16/0.34  % Refutation found
% 0.16/0.34  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.36  % Elapsed time: 0.038245 seconds
% 0.16/0.36  % CPU time: 0.191042 seconds
% 0.16/0.36  % Memory used: 16.098 MB
%------------------------------------------------------------------------------