%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% 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 : n010.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 12:32:54 EDT 2023

% Result   : Theorem 0.20s 0.54s
% Output   : CNFRefutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   36 (  18 unt;   0 def)
%            Number of atoms       :   77 (  27 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   67 (  26   ~;  21   |;  17   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   30 (;  28   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [W0,W1] :
      ( ( aElement0(W0)
        & aElement0(W1) )
     => aElement0(sdtasdt0(W0,W1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [W0,W1] :
      ( ( aElement0(W0)
        & aElement0(W1) )
     => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,hypothesis,
    aElement0(xc),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).

fof(f40,hypothesis,
    ( aElement0(xu)
    & sdtasdt0(xc,xu) = xx ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f43,conjecture,
    sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
    file('/export/starexec/sandbox2/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(f225,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | aElement0(sdtasdt0(xc,X0)) ),
    inference(resolution,[status(thm)],[f55,f195]) ).

fof(f232,plain,
    aElement0(sdtasdt0(xc,xu)),
    inference(resolution,[status(thm)],[f225,f204]) ).

fof(f233,plain,
    aElement0(xx),
    inference(forward_demodulation,[status(thm)],[f205,f232]) ).

fof(f244,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(xx,X0) = sdtasdt0(X0,xx) ),
    inference(resolution,[status(thm)],[f67,f233]) ).

fof(f245,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(xu,X0) = sdtasdt0(X0,xu) ),
    inference(resolution,[status(thm)],[f67,f204]) ).

fof(f249,plain,
    sdtasdt0(xx,xz) = sdtasdt0(xz,xx),
    inference(resolution,[status(thm)],[f244,f203]) ).

fof(f254,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtasdt0(sdtasdt0(xc,X0),X1) = sdtasdt0(xc,sdtasdt0(X0,X1)) ),
    inference(resolution,[status(thm)],[f69,f195]) ).

fof(f256,plain,
    sdtasdt0(xu,xz) = sdtasdt0(xz,xu),
    inference(resolution,[status(thm)],[f245,f203]) ).

fof(f259,plain,
    sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xz,xu)),
    inference(backward_demodulation,[status(thm)],[f256,f209]) ).

fof(f298,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(sdtasdt0(xc,xu),X0) = sdtasdt0(xc,sdtasdt0(xu,X0)) ),
    inference(resolution,[status(thm)],[f254,f204]) ).

fof(f299,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(xx,X0) = sdtasdt0(xc,sdtasdt0(xu,X0)) ),
    inference(forward_demodulation,[status(thm)],[f205,f298]) ).

fof(f311,plain,
    sdtasdt0(xx,xz) = sdtasdt0(xc,sdtasdt0(xu,xz)),
    inference(resolution,[status(thm)],[f299,f203]) ).

fof(f312,plain,
    sdtasdt0(xx,xz) = sdtasdt0(xc,sdtasdt0(xz,xu)),
    inference(forward_demodulation,[status(thm)],[f256,f311]) ).

fof(f315,plain,
    sdtasdt0(xz,xx) != sdtasdt0(xx,xz),
    inference(backward_demodulation,[status(thm)],[f312,f259]) ).

fof(f316,plain,
    sdtasdt0(xx,xz) != sdtasdt0(xx,xz),
    inference(forward_demodulation,[status(thm)],[f249,f315]) ).

fof(f317,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f316]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG104+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n010.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:24:22 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.20/0.54  % Refutation found
% 0.20/0.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.83/0.57  % Elapsed time: 0.221116 seconds
% 0.83/0.57  % CPU time: 0.840007 seconds
% 0.83/0.57  % Memory used: 65.400 MB
%------------------------------------------------------------------------------