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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC032+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.zVHfHQCSeT true

% Computer : n025.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 04:58:20 PM UTC 2025

% Result   : Theorem 0.55s 0.85s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   46 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :  122 (  87 equ;   0 cnn)
%            Maximal formula atoms :   22 (   2 avg)
%            Number of connectives :  194 (  46   ~;  33   |;  19   &;  72   @)
%                                         (   1 <=>;  13  =>;  10  <=;   0 <~>)
%            Maximal formula depth :   27 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  16   !;   8   ?;  24   :)

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

thf(sk__50_type,type,
    sk__50: $i ).

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

thf(lt_type,type,
    lt: $i > $i > $o ).

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

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

thf(sk__51_type,type,
    sk__51: $i ).

thf(sk__49_type,type,
    sk__49: $i ).

thf(sk__47_type,type,
    sk__47: $i ).

thf(sk__48_type,type,
    sk__48: $i ).

thf(strictorderedP_type,type,
    strictorderedP: $i > $o ).

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

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ! [Y: $i] :
                        ( ( ssList @ Y )
                       => ( ( ( app @ W @ Y )
                           != X )
                          | ~ ( strictorderedP @ W )
                          | ? [Z: $i] :
                              ( ? [X1: $i] :
                                  ( ? [X2: $i] :
                                      ( ? [X3: $i] :
                                          ( ( lt @ X2 @ Z )
                                          & ( ( app @ X3 @ ( cons @ X2 @ nil ) )
                                            = W )
                                          & ( ssList @ X3 ) )
                                      & ( ssItem @ X2 ) )
                                  & ( ( app @ ( cons @ Z @ nil ) @ X1 )
                                    = Y )
                                  & ( ssList @ X1 ) )
                              & ( ssItem @ Z ) ) ) )
                    | ( ( nil != X )
                      & ( nil = W ) )
                    | ( ( ( nil != V )
                        | ( nil = U ) )
                      & ( ( nil != U )
                        | ( nil = V ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( V != X )
                      | ( U != W )
                      | ! [Y: $i] :
                          ( ( ssList @ Y )
                         => ( ( ( app @ W @ Y )
                             != X )
                            | ~ ( strictorderedP @ W )
                            | ? [Z: $i] :
                                ( ? [X1: $i] :
                                    ( ? [X2: $i] :
                                        ( ? [X3: $i] :
                                            ( ( lt @ X2 @ Z )
                                            & ( ( app @ X3 @ ( cons @ X2 @ nil ) )
                                              = W )
                                            & ( ssList @ X3 ) )
                                        & ( ssItem @ X2 ) )
                                    & ( ( app @ ( cons @ Z @ nil ) @ X1 )
                                      = Y )
                                    & ( ssList @ X1 ) )
                                & ( ssItem @ Z ) ) ) )
                      | ( ( nil != X )
                        & ( nil = W ) )
                      | ( ( ( nil != V )
                          | ( nil = U ) )
                        & ( ( nil != U )
                          | ( nil = V ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl199,plain,
    ( ( app @ sk__49 @ sk__51 )
    = sk__50 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl202,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192,plain,
    ( ( nil = sk__48 )
    | ( nil = sk__47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205,plain,
    ( ( nil = sk__48 )
   <= ( nil = sk__48 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl197,plain,
    ( ( nil = sk__50 )
    | ( nil != sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl209,plain,
    ( ( nil = sk__50 )
   <= ( nil = sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl202_001,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl220,plain,
    ( ( sk__48 = nil )
   <= ( nil = sk__50 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl209,zip_derived_cl202]) ).

thf(zip_derived_cl195,plain,
    ( ( nil != sk__47 )
    | ( nil != sk__48 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl207,plain,
    ( ( nil != sk__48 )
   <= ( nil != sk__48 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl221,plain,
    ( ( nil != nil )
   <= ( ( nil != sk__48 )
      & ( nil = sk__50 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl207]) ).

thf('0',plain,
    ( ( nil = sk__48 )
    | ( nil != sk__50 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl221]) ).

thf(zip_derived_cl206,plain,
    ( ( nil = sk__47 )
   <= ( nil = sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl196_002,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl210,plain,
    ( ( nil != sk__49 )
   <= ( nil != sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl215,plain,
    ( ( nil != sk__47 )
   <= ( nil != sk__49 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl210]) ).

thf(zip_derived_cl218,plain,
    ( ( nil != nil )
   <= ( ( nil != sk__49 )
      & ( nil = sk__47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl215]) ).

thf('1',plain,
    ( ( nil = sk__49 )
    | ( nil != sk__47 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl218]) ).

thf('2',plain,
    ( ( nil != sk__47 )
    | ( nil != sk__48 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf('3',plain,
    ( ( nil = sk__50 )
    | ( nil != sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf('4',plain,
    ( ( nil = sk__48 )
    | ( nil = sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf('5',plain,
    nil = sk__48,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).

thf(zip_derived_cl223,plain,
    nil = sk__48,
    inference(simpl_trail,[status(thm)],[zip_derived_cl205,'5']) ).

thf(zip_derived_cl225,plain,
    nil = sk__50,
    inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl223]) ).

thf(zip_derived_cl232,plain,
    ( ( app @ sk__47 @ sk__51 )
    = nil ),
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl196,zip_derived_cl225]) ).

thf(zip_derived_cl232_003,plain,
    ( ( app @ sk__47 @ sk__51 )
    = nil ),
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl196,zip_derived_cl225]) ).

thf(ax83,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( nil
              = ( app @ U @ V ) )
          <=> ( ( nil = V )
              & ( nil = U ) ) ) ) ) ).

thf(zip_derived_cl173,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl252,plain,
    ( ~ ( ssList @ sk__51 )
    | ( nil != nil )
    | ( nil = sk__51 )
    | ~ ( ssList @ sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl173]) ).

thf(zip_derived_cl198,plain,
    ssList @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl190,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl257,plain,
    ( ( nil != nil )
    | ( nil = sk__51 ) ),
    inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl198,zip_derived_cl190]) ).

thf(zip_derived_cl258,plain,
    nil = sk__51,
    inference(simplify,[status(thm)],[zip_derived_cl257]) ).

thf(zip_derived_cl260,plain,
    ( ( app @ sk__47 @ nil )
    = nil ),
    inference(demod,[status(thm)],[zip_derived_cl232,zip_derived_cl258]) ).

thf(ax84,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ U @ nil )
        = U ) ) ).

thf(zip_derived_cl176,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl271,plain,
    ( ( nil = sk__47 )
    | ~ ( ssList @ sk__47 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl260,zip_derived_cl176]) ).

thf(zip_derived_cl190_004,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl274,plain,
    nil = sk__47,
    inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl190]) ).

thf(zip_derived_cl208,plain,
    ( ( nil != sk__47 )
   <= ( nil != sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf('6',plain,
    nil != sk__47,
    inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).

thf(zip_derived_cl224,plain,
    nil != sk__47,
    inference(simpl_trail,[status(thm)],[zip_derived_cl208,'6']) ).

thf(zip_derived_cl275,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl274,zip_derived_cl224]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWC032+1 : TPTP v9.2.0. Released v2.4.0.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zVHfHQCSeT true
% 0.11/0.33  % Computer : n025.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Oct  1 17:05:53 EDT 2025
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.53/0.66  % Total configuration time : 435
% 0.53/0.66  % Estimated wc time : 1092
% 0.53/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.85  % Solved by fo/fo1_av.sh.
% 0.55/0.85  % done 66 iterations in 0.070s
% 0.55/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.85  % SZS output start Refutation
% See solution above
% 0.55/0.85  
% 0.55/0.85  
% 0.55/0.85  % Terminating...
% 2.09/0.97  % Runner terminated.
% 2.09/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------