%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEU382+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n016.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  : 600s
% DateTime : Tue Jul 19 09:26:22 EDT 2022

% Result   : Theorem 0.39s 0.57s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  10 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   0   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   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   :    8 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t4_waybel_7,conjecture,
    ! [X1] : the_carrier(boole_POSet(X1)) = powerset(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_waybel_7) ).

fof(t4_yellow_1,lemma,
    ! [X1] : boole_POSet(X1) = incl_POSet(powerset(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_yellow_1) ).

fof(t1_yellow_1,lemma,
    ! [X1] :
      ( the_carrier(incl_POSet(X1)) = X1
      & the_InternalRel(incl_POSet(X1)) = inclusion_order(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_yellow_1) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1] : the_carrier(boole_POSet(X1)) = powerset(X1),
    inference(assume_negation,[status(cth)],[t4_waybel_7]) ).

fof(c_0_4,negated_conjecture,
    the_carrier(boole_POSet(esk522_0)) != powerset(esk522_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_5,lemma,
    ! [X2450] : boole_POSet(X2450) = incl_POSet(powerset(X2450)),
    inference(variable_rename,[status(thm)],[t4_yellow_1]) ).

cnf(c_0_6,negated_conjecture,
    the_carrier(boole_POSet(esk522_0)) != powerset(esk522_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,lemma,
    boole_POSet(X1) = incl_POSet(powerset(X1)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_8,lemma,
    ! [X2161] :
      ( the_carrier(incl_POSet(X2161)) = X2161
      & the_InternalRel(incl_POSet(X2161)) = inclusion_order(X2161) ),
    inference(variable_rename,[status(thm)],[t1_yellow_1]) ).

cnf(c_0_9,negated_conjecture,
    the_carrier(incl_POSet(powerset(esk522_0))) != powerset(esk522_0),
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,lemma,
    the_carrier(incl_POSet(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU382+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 20 08:42:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.39/0.57  # No SInE strategy applied
% 0.39/0.57  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S2g
% 0.39/0.57  # and selection function SelectCQArNpEqFirst.
% 0.39/0.57  #
% 0.39/0.57  # Presaturation interreduction done
% 0.39/0.57  
% 0.39/0.57  # Proof found!
% 0.39/0.57  # SZS status Theorem
% 0.39/0.57  # SZS output start CNFRefutation
% See solution above
% 0.39/0.57  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------