%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWC040+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n009.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 20:29:01 EDT 2022

% Result   : Theorem 0.18s 0.37s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   57 (  32 equ)
%            Maximal formula atoms :   18 (   5 avg)
%            Number of connectives :   68 (  22   ~;  18   |;  16   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( nil != X2
                    | X2 != X4
                    | X1 != X3
                    | nil = X1
                    | ( nil != X3
                      & nil = X4 )
                    | ( ! [X5] :
                          ( ssItem(X5)
                         => ! [X6] :
                              ( ssList(X6)
                             => ( app(cons(X5,nil),X6) != X3
                                | app(X6,cons(X5,nil)) != X4 ) ) )
                      & neq(X4,nil) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( nil != X2
                      | X2 != X4
                      | X1 != X3
                      | nil = X1
                      | ( nil != X3
                        & nil = X4 )
                      | ( ! [X5] :
                            ( ssItem(X5)
                           => ! [X6] :
                                ( ssList(X6)
                               => ( app(cons(X5,nil),X6) != X3
                                  | app(X6,cons(X5,nil)) != X4 ) ) )
                        & neq(X4,nil) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_2,negated_conjecture,
    ( ssList(esk48_0)
    & ssList(esk49_0)
    & ssList(esk50_0)
    & ssList(esk51_0)
    & nil = esk49_0
    & esk49_0 = esk51_0
    & esk48_0 = esk50_0
    & nil != esk48_0
    & ( nil = esk50_0
      | nil != esk51_0 )
    & ( ssItem(esk52_0)
      | ~ neq(esk51_0,nil) )
    & ( ssList(esk53_0)
      | ~ neq(esk51_0,nil) )
    & ( app(cons(esk52_0,nil),esk53_0) = esk50_0
      | ~ neq(esk51_0,nil) )
    & ( app(esk53_0,cons(esk52_0,nil)) = esk51_0
      | ~ neq(esk51_0,nil) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    nil = esk49_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    nil != esk48_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( nil = esk50_0
    | nil != esk51_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    esk51_0 = nil,
    inference(rw,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    esk50_0 != nil,
    inference(rw,[status(thm)],[c_0_5,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
% 0.03/0.12  % Problem  : SWC040+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33  % Computer : n009.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 : Sun Jun 12 01:54:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.37  # No SInE strategy applied
% 0.18/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S4c
% 0.18/0.37  # and selection function SelectCQPrecWNTNp.
% 0.18/0.37  #
% 0.18/0.37  # Presaturation interreduction done
% 0.18/0.37  
% 0.18/0.37  # Proof found!
% 0.18/0.37  # SZS status Theorem
% 0.18/0.37  # SZS output start CNFRefutation
% See solution above
% 0.18/0.37  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------