%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWV402+1 : 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 : 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  : 600s
% DateTime : Wed Jul 20 18:20:52 EDT 2022

% Result   : Theorem 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   5 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   5   ~;   0   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   4 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l38_co,conjecture,
    ! [X1,X2,X3,X4] :
      ( ( pair_in_list(create_slb,X2,X3)
        & strictly_less_than(X3,X4) )
     => pair_in_list(update_slb(create_slb,X4),X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l38_co) ).

fof(ax22,axiom,
    ! [X1,X2] : ~ pair_in_list(create_slb,X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax22) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ( pair_in_list(create_slb,X2,X3)
          & strictly_less_than(X3,X4) )
       => pair_in_list(update_slb(create_slb,X4),X2,X4) ),
    inference(assume_negation,[status(cth)],[l38_co]) ).

fof(c_0_3,negated_conjecture,
    ( pair_in_list(create_slb,esk1_0,esk2_0)
    & strictly_less_than(esk2_0,esk3_0)
    & ~ pair_in_list(update_slb(create_slb,esk3_0),esk1_0,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])])]) ).

fof(c_0_4,plain,
    ! [X23,X24] : ~ pair_in_list(create_slb,X23,X24),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ax22])]) ).

cnf(c_0_5,negated_conjecture,
    pair_in_list(create_slb,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ~ pair_in_list(create_slb,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_5,c_0_6]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV402+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 01:00:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.37  # No SInE strategy applied
% 0.12/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.37  #
% 0.12/0.37  # Presaturation interreduction done
% 0.12/0.37  
% 0.12/0.37  # Proof found!
% 0.12/0.37  # SZS status Theorem
% 0.12/0.37  # SZS output start CNFRefutation
% See solution above
% 0.12/0.37  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------