%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 12:09:02 EDT 2023

% Result   : Theorem 0.23s 0.60s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (   9   ~;   4   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (;  12   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f99,axiom,
    ! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f100,conjecture,
    ! [Xa,Xp,Xr,Xq] :
      ( s(Xa,Xp) != Xr
      | s(Xa,Xq) != Xr
      | Xp = Xq ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f101,negated_conjecture,
    ~ ! [Xa,Xp,Xr,Xq] :
        ( s(Xa,Xp) != Xr
        | s(Xa,Xq) != Xr
        | Xp = Xq ),
    inference(negated_conjecture,[status(cth)],[f100]) ).

fof(f276,plain,
    ! [X0,X1] : s(X0,s(X0,X1)) = X1,
    inference(cnf_transformation,[status(esa)],[f99]) ).

fof(f277,plain,
    ? [Xa,Xp,Xr,Xq] :
      ( s(Xa,Xp) = Xr
      & s(Xa,Xq) = Xr
      & Xp != Xq ),
    inference(pre_NNF_transformation,[status(esa)],[f101]) ).

fof(f278,plain,
    ? [Xp,Xq] :
      ( ? [Xa,Xr] :
          ( s(Xa,Xp) = Xr
          & s(Xa,Xq) = Xr )
      & Xp != Xq ),
    inference(miniscoping,[status(esa)],[f277]) ).

fof(f279,plain,
    ( s(sk0_2,sk0_0) = sk0_3
    & s(sk0_2,sk0_1) = sk0_3
    & sk0_0 != sk0_1 ),
    inference(skolemization,[status(esa)],[f278]) ).

fof(f280,plain,
    s(sk0_2,sk0_0) = sk0_3,
    inference(cnf_transformation,[status(esa)],[f279]) ).

fof(f281,plain,
    s(sk0_2,sk0_1) = sk0_3,
    inference(cnf_transformation,[status(esa)],[f279]) ).

fof(f282,plain,
    sk0_0 != sk0_1,
    inference(cnf_transformation,[status(esa)],[f279]) ).

fof(f346,plain,
    s(sk0_2,sk0_3) = sk0_1,
    inference(paramodulation,[status(thm)],[f281,f276]) ).

fof(f347,plain,
    s(sk0_2,sk0_3) = sk0_0,
    inference(paramodulation,[status(thm)],[f280,f276]) ).

fof(f351,plain,
    sk0_1 = sk0_0,
    inference(forward_demodulation,[status(thm)],[f346,f347]) ).

fof(f352,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f351,f282]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n024.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 12:03:48 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  % Drodi V3.5.1
% 0.23/0.60  % Refutation found
% 0.23/0.60  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/0.60  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.60  % Elapsed time: 0.031728 seconds
% 0.23/0.60  % CPU time: 0.033955 seconds
% 0.23/0.60  % Memory used: 3.919 MB
%------------------------------------------------------------------------------