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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC020+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.ugxamuZnna true

% Computer : n027.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 04:58:18 PM UTC 2025

% Result   : Theorem 0.49s 0.78s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   46 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :  100 (  45 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  181 (  36   ~;  35   |;  10   &;  91   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;  11   !;   2   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
    frontsegP: $i > $i > $o ).

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

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

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

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

thf(sk__6_type,type,
    sk__6: $i ).

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

thf(sk__8_type,type,
    sk__8: $i ).

thf(ax42,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( frontsegP @ U @ U ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( frontsegP @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax42]) ).

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] :
                        ( ( frontsegP @ U @ Y )
                        & ( frontsegP @ V @ Y )
                        & ( neq @ Y @ nil )
                        & ( ssList @ Y ) )
                    | ( ( nil = V )
                      & ( nil = U ) )
                    | ( ( ( nil != X )
                        | ( nil != W ) )
                      & ( ~ ( neq @ W @ nil )
                        | ~ ( frontsegP @ X @ W ) ) ) ) ) ) ) ) ).

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] :
                          ( ( frontsegP @ U @ Y )
                          & ( frontsegP @ V @ Y )
                          & ( neq @ Y @ nil )
                          & ( ssList @ Y ) )
                      | ( ( nil = V )
                        & ( nil = U ) )
                      | ( ( ( nil != X )
                          | ( nil != W ) )
                        & ( ~ ( neq @ W @ nil )
                          | ~ ( frontsegP @ X @ W ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ~ ( frontsegP @ sk__5 @ X0 )
      | ~ ( frontsegP @ sk__6 @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69,plain,
    ( ~ ( ssList @ sk__5 )
    | ~ ( ssList @ sk__5 )
    | ~ ( neq @ sk__5 @ nil )
    | ~ ( frontsegP @ sk__6 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl43]) ).

thf(zip_derived_cl40,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40_001,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl71,plain,
    ( ~ ( neq @ sk__5 @ nil )
    | ~ ( frontsegP @ sk__6 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl40,zip_derived_cl40]) ).

thf(zip_derived_cl45,plain,
    ( ( nil = sk__8 )
    | ( neq @ sk__7 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56,plain,
    ( ( nil = sk__6 )
    | ( neq @ sk__5 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl49,zip_derived_cl44]) ).

thf(zip_derived_cl71_002,plain,
    ( ~ ( neq @ sk__5 @ nil )
    | ~ ( frontsegP @ sk__6 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl40,zip_derived_cl40]) ).

thf(zip_derived_cl123,plain,
    ( ( nil = sk__6 )
    | ~ ( frontsegP @ sk__6 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl71]) ).

thf(zip_derived_cl46,plain,
    ( ( nil = sk__8 )
    | ( frontsegP @ sk__8 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_003,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_004,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_005,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ( ( nil = sk__6 )
    | ( frontsegP @ sk__6 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl49,zip_derived_cl49,zip_derived_cl44]) ).

thf(zip_derived_cl125,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl123,zip_derived_cl57]) ).

thf(zip_derived_cl140,plain,
    ( ~ ( neq @ sk__5 @ sk__6 )
    | ~ ( frontsegP @ sk__6 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl125]) ).

thf(zip_derived_cl47,plain,
    ( ( nil = sk__7 )
    | ( neq @ sk__7 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_006,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_007,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    ( ( nil = sk__5 )
    | ( neq @ sk__5 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl44,zip_derived_cl44]) ).

thf(zip_derived_cl125_008,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl123,zip_derived_cl57]) ).

thf(zip_derived_cl125_009,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl123,zip_derived_cl57]) ).

thf(zip_derived_cl136,plain,
    ( ( sk__6 = sk__5 )
    | ( neq @ sk__5 @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl125,zip_derived_cl125]) ).

thf(zip_derived_cl42,plain,
    ( ( nil != sk__6 )
    | ( nil != sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_010,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl123,zip_derived_cl57]) ).

thf(zip_derived_cl125_011,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl123,zip_derived_cl57]) ).

thf(zip_derived_cl133,plain,
    ( ( sk__6 != sk__6 )
    | ( sk__6 != sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl125,zip_derived_cl125]) ).

thf(zip_derived_cl134,plain,
    sk__6 != sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl186,plain,
    neq @ sk__5 @ sk__6,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl136,zip_derived_cl134]) ).

thf(zip_derived_cl187,plain,
    ~ ( frontsegP @ sk__6 @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl186]) ).

thf(zip_derived_cl48,plain,
    ( ( nil = sk__7 )
    | ( frontsegP @ sk__8 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_012,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_013,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_014,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    ( ( nil = sk__5 )
    | ( frontsegP @ sk__6 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl44,zip_derived_cl49,zip_derived_cl44]) ).

thf(zip_derived_cl125_015,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl123,zip_derived_cl57]) ).

thf(zip_derived_cl137,plain,
    ( ( sk__6 = sk__5 )
    | ( frontsegP @ sk__6 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl125]) ).

thf(zip_derived_cl134_016,plain,
    sk__6 != sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl188,plain,
    frontsegP @ sk__6 @ sk__5,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl137,zip_derived_cl134]) ).

thf(zip_derived_cl189,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl188]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : SWC020+1 : TPTP v9.2.0. Released v2.4.0.
% 0.09/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ugxamuZnna true
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 17:13:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.48/0.63  % Total configuration time : 435
% 0.48/0.63  % Estimated wc time : 1092
% 0.48/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.78  % Solved by fo/fo7.sh.
% 0.49/0.78  % done 71 iterations in 0.044s
% 0.49/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.78  % SZS output start Refutation
% See solution above
% 0.49/0.78  
% 0.49/0.78  
% 0.49/0.78  % Terminating...
% 0.51/0.82  % Runner terminated.
% 0.51/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------