%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWV405+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 : n032.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 0.16s 0.33s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   20 (   9   ~;   5   |;   2   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :   22 (   4 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l41_co,conjecture,
    ! [X1,X2] :
      ( check_cpq(triple(X1,create_slb,X2))
    <=> ! [X3,X4] :
          ( pair_in_list(create_slb,X3,X4)
         => less_than(X4,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l41_co) ).

fof(ax36,axiom,
    ! [X1,X2] : check_cpq(triple(X1,create_slb,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax36) ).

fof(ax22,axiom,
    ! [X1,X2] : ~ pair_in_list(create_slb,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax22) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2] :
        ( check_cpq(triple(X1,create_slb,X2))
      <=> ! [X3,X4] :
            ( pair_in_list(create_slb,X3,X4)
           => less_than(X4,X3) ) ),
    inference(assume_negation,[status(cth)],[l41_co]) ).

fof(c_0_4,negated_conjecture,
    ! [X123,X124] :
      ( ( pair_in_list(create_slb,esk3_0,esk4_0)
        | ~ check_cpq(triple(esk1_0,create_slb,esk2_0)) )
      & ( ~ less_than(esk4_0,esk3_0)
        | ~ check_cpq(triple(esk1_0,create_slb,esk2_0)) )
      & ( check_cpq(triple(esk1_0,create_slb,esk2_0))
        | ~ pair_in_list(create_slb,X123,X124)
        | less_than(X124,X123) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).

fof(c_0_5,plain,
    ! [X64,X65] : check_cpq(triple(X64,create_slb,X65)),
    inference(variable_rename,[status(thm)],[ax36]) ).

fof(c_0_6,plain,
    ! [X23,X24] : ~ pair_in_list(create_slb,X23,X24),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ax22])]) ).

cnf(c_0_7,negated_conjecture,
    ( pair_in_list(create_slb,esk3_0,esk4_0)
    | ~ check_cpq(triple(esk1_0,create_slb,esk2_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    check_cpq(triple(X1,create_slb,X2)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ~ pair_in_list(create_slb,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWV405+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.11  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Wed Jun 15 11:50:59 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.16/0.33  # No SInE strategy applied
% 0.16/0.33  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.16/0.33  # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.16/0.33  #
% 0.16/0.33  # Presaturation interreduction done
% 0.16/0.33  
% 0.16/0.33  # Proof found!
% 0.16/0.33  # SZS status Theorem
% 0.16/0.33  # SZS output start CNFRefutation
% See solution above
% 0.16/0.33  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------