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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC254+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dM3gH8cvBa true

% Computer : n024.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 04:59:09 PM UTC 2025

% Result   : Theorem 0.57s 0.83s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   27 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   73 (  24 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  173 (  31   ~;  29   |;   3   &;  96   @)
%                                         (   1 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   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   :   18 (   0   ^;  17   !;   1   ?;  18   :)

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

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

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

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

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

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

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

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

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

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

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

thf(singletonP_type,type,
    singletonP: $i > $o ).

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

thf(zip_derived_cl197,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__49 )
    | ( neq @ sk__48 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1597,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__47 )
    | ( neq @ sk__48 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl192]) ).

thf(zip_derived_cl198,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__49 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_001,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1588,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__47 )
    | ~ ( neq @ sk__48 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl192,zip_derived_cl205]) ).

thf(zip_derived_cl1598,plain,
    ( ( cons @ sk__51 @ nil )
    = sk__47 ),
    inference(clc,[status(thm)],[zip_derived_cl1597,zip_derived_cl1588]) ).

thf(ax4,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( singletonP @ U )
      <=> ? [V: $i] :
            ( ( ( cons @ V @ nil )
              = U )
            & ( ssItem @ V ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( cons @ X1 @ nil )
       != X0 )
      | ~ ( ssItem @ X1 )
      | ( singletonP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl204,plain,
    ( ~ ( singletonP @ sk__47 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1522,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ nil )
       != sk__47 )
      | ~ ( neq @ sk__50 @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl204]) ).

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

thf(zip_derived_cl205_002,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193,plain,
    ( ( neq @ sk__48 @ nil )
    | ( neq @ sk__48 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1686,plain,
    neq @ sk__48 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl193]) ).

thf(zip_derived_cl1698,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ nil )
       != sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1522,zip_derived_cl190,zip_derived_cl205,zip_derived_cl1686]) ).

thf(zip_derived_cl1699,plain,
    ( ~ ( ssItem @ sk__51 )
    | ( sk__47 != sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1598,zip_derived_cl1698]) ).

thf(zip_derived_cl196,plain,
    ( ( ssItem @ sk__51 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205_003,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1577,plain,
    ( ( ssItem @ sk__51 )
    | ~ ( neq @ sk__48 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl205]) ).

thf(zip_derived_cl195,plain,
    ( ( ssItem @ sk__51 )
    | ( neq @ sk__48 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1578,plain,
    ssItem @ sk__51,
    inference(clc,[status(thm)],[zip_derived_cl1577,zip_derived_cl195]) ).

thf(zip_derived_cl1700,plain,
    sk__47 != sk__47,
    inference(demod,[status(thm)],[zip_derived_cl1699,zip_derived_cl1578]) ).

thf(zip_derived_cl1701,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1700]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC254+1 : TPTP v9.2.0. Released v2.4.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dM3gH8cvBa true
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 17:11:23 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.57/0.67  % Total configuration time : 435
% 0.57/0.67  % Estimated wc time : 1092
% 0.57/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.83  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.83  % Solved by fo/fo6_bce.sh.
% 0.57/0.83  % BCE start: 208
% 0.57/0.83  % BCE eliminated: 2
% 0.57/0.83  % PE start: 206
% 0.57/0.83  logic: eq
% 0.57/0.83  % PE eliminated: 6
% 0.57/0.83  % done 70 iterations in 0.092s
% 0.57/0.83  % SZS status Theorem for '/export/starexec/sandbox/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...
% 1.21/0.86  % Runner terminated.
% 1.21/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------