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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC042+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.jhX5oEIXW1 true

% Computer : n018.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 04:58:23 PM UTC 2025

% Result   : Theorem 0.57s 0.83s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   24 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   76 (  41 equ;   0 cnn)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  147 (  23   ~;  23   |;  15   &;  72   @)
%                                         (   1 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   5 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__19_type,type,
    sk__19: $i ).

thf(totalorderedP_type,type,
    totalorderedP: $i > $o ).

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

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

thf(sk__16_type,type,
    sk__16: $i ).

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

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(sk__17_type,type,
    sk__17: $i ).

thf(sk__15_type,type,
    sk__15: $i ).

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

thf(sk__18_type,type,
    sk__18: $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 )
                    | ! [Y: $i] :
                        ( ( ssList @ Y )
                       => ( ( ( app @ W @ Y )
                           != X )
                          | ~ ( totalorderedP @ W )
                          | ? [Z: $i] :
                              ( ? [X1: $i] :
                                  ( ? [X2: $i] :
                                      ( ? [X3: $i] :
                                          ( ( leq @ 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 ) ) ) ) ) ) ) ).

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 )
                      | ! [Y: $i] :
                          ( ( ssList @ Y )
                         => ( ( ( app @ W @ Y )
                             != X )
                            | ~ ( totalorderedP @ W )
                            | ? [Z: $i] :
                                ( ? [X1: $i] :
                                    ( ? [X2: $i] :
                                        ( ? [X3: $i] :
                                            ( ( leq @ 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 ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl81,plain,
    ( ( app @ sk__17 @ sk__19 )
    = sk__18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77,plain,
    sk__15 = sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84,plain,
    sk__16 = sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78,plain,
    nil = sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl577,plain,
    nil = sk__18,
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl78]) ).

thf(zip_derived_cl584,plain,
    ( ( app @ sk__15 @ sk__19 )
    = nil ),
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl77,zip_derived_cl577]) ).

thf(zip_derived_cl584_001,plain,
    ( ( app @ sk__15 @ sk__19 )
    = nil ),
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl77,zip_derived_cl577]) ).

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

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl587,plain,
    ( ( nil != nil )
    | ~ ( ssList @ sk__15 )
    | ( nil = sk__19 )
    | ~ ( ssList @ sk__19 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl584,zip_derived_cl60]) ).

thf(zip_derived_cl74,plain,
    ssList @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80,plain,
    ssList @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl592,plain,
    ( ( nil != nil )
    | ( nil = sk__19 ) ),
    inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl74,zip_derived_cl80]) ).

thf(zip_derived_cl593,plain,
    nil = sk__19,
    inference(simplify,[status(thm)],[zip_derived_cl592]) ).

thf(zip_derived_cl595,plain,
    ( ( app @ sk__15 @ nil )
    = nil ),
    inference(demod,[status(thm)],[zip_derived_cl584,zip_derived_cl593]) ).

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

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl599,plain,
    ( ( nil = sk__15 )
    | ~ ( ssList @ sk__15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl595,zip_derived_cl63]) ).

thf(zip_derived_cl74_002,plain,
    ssList @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl602,plain,
    nil = sk__15,
    inference(demod,[status(thm)],[zip_derived_cl599,zip_derived_cl74]) ).

thf(zip_derived_cl76,plain,
    nil != sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl603,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl602,zip_derived_cl76]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : SWC042+1 : TPTP v9.2.0. Released v2.4.0.
% 0.09/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jhX5oEIXW1 true
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Oct  1 17:09:53 EDT 2025
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.55/0.68  % Total configuration time : 435
% 0.55/0.68  % Estimated wc time : 1092
% 0.55/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.83  % Solved by fo/fo3_bce.sh.
% 0.57/0.83  % BCE start: 87
% 0.57/0.83  % BCE eliminated: 2
% 0.57/0.83  % PE start: 85
% 0.57/0.83  logic: eq
% 0.57/0.83  % PE eliminated: 0
% 0.57/0.83  % done 32 iterations in 0.029s
% 0.57/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.83  % SZS output start Refutation
% See solution above
% 0.57/0.83  
% 0.57/0.83  
% 0.57/0.83  % Terminating...
% 0.59/0.89  % Runner terminated.
% 0.59/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------