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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC040+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Hakc7ONNdr true

% Computer : n013.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 : Thu Oct  2 04:58:22 PM UTC 2025

% Result   : Theorem 0.54s 0.76s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   41 (  26 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :   79 (  17   ~;  14   |;   4   &;  32   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__6_type,type,
    sk__6: $i ).

thf(ssItem_type,type,
    ssItem: $i > $o ).

thf(nil_type,type,
    nil: $i ).

thf(app_type,type,
    app: $i > $i > $i ).

thf(ssList_type,type,
    ssList: $i > $o ).

thf(neq_type,type,
    neq: $i > $i > $o ).

thf(cons_type,type,
    cons: $i > $i > $i ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( nil != V )
                    | ( V != X )
                    | ( U != W )
                    | ( nil = U )
                    | ( ( nil != W )
                      & ( nil = X ) )
                    | ( ! [Y: $i] :
                          ( ( ssItem @ Y )
                         => ! [Z: $i] :
                              ( ( ssList @ Z )
                             => ( ( ( app @ ( cons @ Y @ nil ) @ Z )
                                 != W )
                                | ( ( app @ Z @ ( cons @ Y @ nil ) )
                                 != X ) ) ) )
                      & ( neq @ X @ nil ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( nil != V )
                      | ( V != X )
                      | ( U != W )
                      | ( nil = U )
                      | ( ( nil != W )
                        & ( nil = X ) )
                      | ( ! [Y: $i] :
                            ( ( ssItem @ Y )
                           => ! [Z: $i] :
                                ( ( ssList @ Z )
                               => ( ( ( app @ ( cons @ Y @ nil ) @ Z )
                                   != W )
                                  | ( ( app @ Z @ ( cons @ Y @ nil ) )
                                   != X ) ) ) )
                        & ( neq @ X @ nil ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl37,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    nil = sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl186,plain,
    nil = sk__7,
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl31]) ).

thf(zip_derived_cl36,plain,
    ( ( nil = sk__6 )
    | ( nil != sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30,plain,
    sk__4 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl184,plain,
    ( ( nil = sk__4 )
    | ( nil != sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl30]) ).

thf(zip_derived_cl29,plain,
    nil != sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl185,plain,
    nil != sk__7,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl184,zip_derived_cl29]) ).

thf(zip_derived_cl187,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl186,zip_derived_cl185]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWC040+1 : TPTP v9.2.0. Released v2.4.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Hakc7ONNdr true
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 17:10:53 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.54/0.64  % Total configuration time : 435
% 0.54/0.64  % Estimated wc time : 1092
% 0.54/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76  % Solved by fo/fo3_bce.sh.
% 0.54/0.76  % BCE start: 40
% 0.54/0.76  % BCE eliminated: 2
% 0.54/0.76  % PE start: 38
% 0.54/0.76  logic: eq
% 0.54/0.76  % PE eliminated: -2
% 0.54/0.76  % done 8 iterations in 0.022s
% 0.54/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.76  % SZS output start Refutation
% See solution above
% 0.54/0.76  
% 0.54/0.76  
% 0.54/0.76  % Terminating...
% 0.60/0.85  % Runner terminated.
% 0.60/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------