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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC016+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.CSVwr5fQ9V 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 04:58:17 PM UTC 2025

% Result   : Theorem 0.57s 0.80s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   53 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :  140 (  55 equ;   0 cnn)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :  286 (  59   ~;  62   |;  12   &; 140   @)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  17   !;   2   ?;  19   :)

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

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

thf(sk__9_type,type,
    sk__9: $i ).

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

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

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

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

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

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

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

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

thf(zip_derived_cl44,plain,
    ( ( nil != sk__5 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    ( ( nil != sk__5 )
    | ( neq @ sk__6 @ sk__5 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl44]) ).

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

thf(zip_derived_cl47,plain,
    ( ( frontsegP @ sk__7 @ sk__9 )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84,plain,
    ( ( frontsegP @ sk__5 @ sk__9 )
    | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl46,zip_derived_cl52]) ).

thf(zip_derived_cl85,plain,
    ( ( nil = sk__6 )
    | ( frontsegP @ sk__5 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl84]) ).

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

thf(zip_derived_cl174,plain,
    ( ( nil = sk__6 )
    | ~ ( ssList @ sk__9 )
    | ~ ( neq @ sk__9 @ nil )
    | ~ ( frontsegP @ sk__6 @ sk__9 )
    | ( nil = sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl43]) ).

thf(zip_derived_cl177,plain,
    ( ~ ( frontsegP @ sk__6 @ sk__9 )
    | ~ ( neq @ sk__9 @ nil )
    | ~ ( ssList @ sk__9 )
    | ( nil = sk__6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl174]) ).

thf(zip_derived_cl42_001,plain,
    ( ( nil = sk__6 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    ( ( frontsegP @ sk__8 @ sk__9 )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_002,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_003,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87,plain,
    ( ( frontsegP @ sk__6 @ sk__9 )
    | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl52,zip_derived_cl52]) ).

thf(zip_derived_cl88,plain,
    ( ( nil = sk__6 )
    | ( frontsegP @ sk__6 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl87]) ).

thf(zip_derived_cl184,plain,
    ( ( nil = sk__6 )
    | ~ ( ssList @ sk__9 )
    | ~ ( neq @ sk__9 @ nil ) ),
    inference(clc,[status(thm)],[zip_derived_cl177,zip_derived_cl88]) ).

thf(zip_derived_cl42_004,plain,
    ( ( nil = sk__6 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    ( ( ssList @ sk__9 )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_005,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ( ( ssList @ sk__9 )
    | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl52]) ).

thf(zip_derived_cl65,plain,
    ( ( nil = sk__6 )
    | ( ssList @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl60]) ).

thf(zip_derived_cl185,plain,
    ( ~ ( neq @ sk__9 @ nil )
    | ( nil = sk__6 ) ),
    inference(clc,[status(thm)],[zip_derived_cl184,zip_derived_cl65]) ).

thf(zip_derived_cl42_006,plain,
    ( ( nil = sk__6 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    ( ( neq @ sk__9 @ nil )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_007,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl90,plain,
    ( ( neq @ sk__9 @ nil )
    | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl52]) ).

thf(zip_derived_cl91,plain,
    ( ( nil = sk__6 )
    | ( neq @ sk__9 @ nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl90]) ).

thf(zip_derived_cl186,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl185,zip_derived_cl91]) ).

thf(zip_derived_cl199,plain,
    ( ( sk__6 != sk__5 )
    | ( neq @ sk__6 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl186]) ).

thf(zip_derived_cl200,plain,
    ( ( sk__6 != sk__5 )
    | ( neq @ sk__5 @ sk__5 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl199]) ).

thf(zip_derived_cl51,plain,
    ( ( nil = sk__7 )
    | ( nil != sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    ( ( sk__8 = sk__7 )
    | ( nil != sk__8 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl46_008,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    ( ( sk__8 = sk__5 )
    | ( nil != sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl46]) ).

thf(zip_derived_cl52_009,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_010,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ( ( sk__6 = sk__5 )
    | ( nil != sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl52,zip_derived_cl52]) ).

thf(zip_derived_cl186_011,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl185,zip_derived_cl91]) ).

thf(zip_derived_cl197,plain,
    ( ( sk__6 = sk__5 )
    | ( sk__6 != sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl186]) ).

thf(zip_derived_cl198,plain,
    sk__6 = sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl197]) ).

thf(zip_derived_cl231,plain,
    ( ( sk__5 != sk__5 )
    | ( neq @ sk__5 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl198]) ).

thf(zip_derived_cl232,plain,
    neq @ sk__5 @ sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl231]) ).

thf(ax15,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( neq @ U @ V )
          <=> ( U != V ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i] :
      ( ~ ( neq @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl235,plain,
    ~ ( ssList @ sk__5 ),
    inference('sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl80]) ).

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

thf(zip_derived_cl237,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl40]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC016+1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CSVwr5fQ9V true
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 17:05:38 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.56/0.63  % Total configuration time : 435
% 0.56/0.63  % Estimated wc time : 1092
% 0.56/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.80  % Solved by fo/fo7.sh.
% 0.57/0.80  % done 79 iterations in 0.035s
% 0.57/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.80  % SZS output start Refutation
% See solution above
% 0.57/0.80  
% 0.57/0.80  
% 0.57/0.80  % Terminating...
% 0.60/0.84  % Runner terminated.
% 1.70/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------