%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU382+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 12:36:52 EDT 2023

% Result   : Theorem 1.66s 0.67s
% Output   : CNFRefutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (  11 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   0   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :   10 (;   9   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f672,lemma,
    ! [A] :
      ( the_carrier(incl_POSet(A)) = A
      & the_InternalRel(incl_POSet(A)) = inclusion_order(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f777,conjecture,
    ! [A] : the_carrier(boole_POSet(A)) = powerset(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f778,negated_conjecture,
    ~ ! [A] : the_carrier(boole_POSet(A)) = powerset(A),
    inference(negated_conjecture,[status(cth)],[f777]) ).

fof(f781,lemma,
    ! [A] : boole_POSet(A) = incl_POSet(powerset(A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4234,plain,
    ( ! [A] : the_carrier(incl_POSet(A)) = A
    & ! [A] : the_InternalRel(incl_POSet(A)) = inclusion_order(A) ),
    inference(miniscoping,[status(esa)],[f672]) ).

fof(f4235,plain,
    ! [X0] : the_carrier(incl_POSet(X0)) = X0,
    inference(cnf_transformation,[status(esa)],[f4234]) ).

fof(f4584,plain,
    ? [A] : the_carrier(boole_POSet(A)) != powerset(A),
    inference(pre_NNF_transformation,[status(esa)],[f778]) ).

fof(f4585,plain,
    the_carrier(boole_POSet(sk0_463)) != powerset(sk0_463),
    inference(skolemization,[status(esa)],[f4584]) ).

fof(f4586,plain,
    the_carrier(boole_POSet(sk0_463)) != powerset(sk0_463),
    inference(cnf_transformation,[status(esa)],[f4585]) ).

fof(f4594,plain,
    ! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
    inference(cnf_transformation,[status(esa)],[f781]) ).

fof(f6694,plain,
    ! [X0] : the_carrier(boole_POSet(X0)) = powerset(X0),
    inference(paramodulation,[status(thm)],[f4594,f4235]) ).

fof(f7158,plain,
    powerset(sk0_463) != powerset(sk0_463),
    inference(backward_demodulation,[status(thm)],[f6694,f4586]) ).

fof(f7159,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f7158]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU382+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 09:15:06 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.44  % Drodi V3.5.1
% 1.66/0.67  % Refutation found
% 1.66/0.67  % SZS status Theorem for theBenchmark: Theorem is valid
% 1.66/0.67  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.66/0.68  % Elapsed time: 0.334340 seconds
% 1.66/0.68  % CPU time: 1.797221 seconds
% 1.66/0.68  % Memory used: 175.823 MB
%------------------------------------------------------------------------------