%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO499+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 0.16s 0.36s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   25 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (  10   ~;   5   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   33 (;  25   !;   8   ?)

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

fof(f105,axiom,
    ! [Xp,Xq,Xr,Xa] :
      ( ~ s_t(Xp,Xq,Xr)
      | s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f106,conjecture,
    ! [Xp,Xq,Xr,Xa] :
      ( s_t(Xp,Xq,Xr)
      | ~ s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f107,negated_conjecture,
    ~ ! [Xp,Xq,Xr,Xa] :
        ( s_t(Xp,Xq,Xr)
        | ~ s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) ),
    inference(negated_conjecture,[status(cth)],[f106]) ).

fof(f282,plain,
    ! [X0,X1] : s(X0,s(X0,X1)) = X1,
    inference(cnf_transformation,[status(esa)],[f99]) ).

fof(f290,plain,
    ! [Xp,Xq,Xr] :
      ( ~ s_t(Xp,Xq,Xr)
      | ! [Xa] : s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) ),
    inference(miniscoping,[status(esa)],[f105]) ).

fof(f291,plain,
    ! [X0,X1,X2,X3] :
      ( ~ s_t(X0,X1,X2)
      | s_t(s(X3,X0),s(X3,X1),s(X3,X2)) ),
    inference(cnf_transformation,[status(esa)],[f290]) ).

fof(f292,plain,
    ? [Xp,Xq,Xr,Xa] :
      ( ~ s_t(Xp,Xq,Xr)
      & s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) ),
    inference(pre_NNF_transformation,[status(esa)],[f107]) ).

fof(f293,plain,
    ? [Xp,Xq,Xr] :
      ( ~ s_t(Xp,Xq,Xr)
      & ? [Xa] : s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) ),
    inference(miniscoping,[status(esa)],[f292]) ).

fof(f294,plain,
    ( ~ s_t(sk0_0,sk0_1,sk0_2)
    & s_t(s(sk0_3,sk0_0),s(sk0_3,sk0_1),s(sk0_3,sk0_2)) ),
    inference(skolemization,[status(esa)],[f293]) ).

fof(f295,plain,
    ~ s_t(sk0_0,sk0_1,sk0_2),
    inference(cnf_transformation,[status(esa)],[f294]) ).

fof(f296,plain,
    s_t(s(sk0_3,sk0_0),s(sk0_3,sk0_1),s(sk0_3,sk0_2)),
    inference(cnf_transformation,[status(esa)],[f294]) ).

fof(f382,plain,
    ! [X0] : s_t(s(X0,s(sk0_3,sk0_0)),s(X0,s(sk0_3,sk0_1)),s(X0,s(sk0_3,sk0_2))),
    inference(resolution,[status(thm)],[f291,f296]) ).

fof(f387,plain,
    s_t(sk0_0,s(sk0_3,s(sk0_3,sk0_1)),s(sk0_3,s(sk0_3,sk0_2))),
    inference(paramodulation,[status(thm)],[f282,f382]) ).

fof(f388,plain,
    s_t(sk0_0,sk0_1,s(sk0_3,s(sk0_3,sk0_2))),
    inference(forward_demodulation,[status(thm)],[f282,f387]) ).

fof(f389,plain,
    s_t(sk0_0,sk0_1,sk0_2),
    inference(forward_demodulation,[status(thm)],[f282,f388]) ).

fof(f390,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f389,f295]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO499+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n003.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue May 30 12:04:23 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.16/0.32  % Drodi V3.5.1
% 0.16/0.36  % Refutation found
% 0.16/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.30/0.59  % Elapsed time: 0.065909 seconds
% 0.30/0.59  % CPU time: 0.103441 seconds
% 0.30/0.59  % Memory used: 16.229 MB
%------------------------------------------------------------------------------