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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC054+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.whQnVBOthX 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 04:58:25 PM UTC 2025

% Result   : Theorem 0.57s 0.79s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   52 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :  137 (  44 equ;   0 cnn)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :  300 (  73   ~;  64   |;  12   &; 142   @)
%                                         (   1 <=>;   8  =>;   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     :   11 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  20   !;   2   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nil_type,type,
    nil: $i ).

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

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

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

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

thf(sk__10_type,type,
    sk__10: $i ).

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

thf(segmentP_type,type,
    segmentP: $i > $i > $o ).

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

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

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

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

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ( ? [Z: $i] :
                            ( ( segmentP @ U @ Z )
                            & ( segmentP @ V @ Z )
                            & ( neq @ Z @ nil )
                            & ( ssList @ Z ) )
                        | ~ ( neq @ V @ nil ) )
                      & ( ( nil = U )
                        | ( nil != V ) ) )
                    | ( ( neq @ X @ nil )
                      & ! [Y: $i] :
                          ( ~ ( segmentP @ W @ Y )
                          | ~ ( segmentP @ X @ Y )
                          | ~ ( neq @ Y @ nil )
                          | ~ ( ssList @ Y ) ) )
                    | ( ( nil = X )
                      & ( nil != W ) )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl46,plain,
    ( ~ ( neq @ sk__9 @ nil )
    | ( segmentP @ sk__9 @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_001,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl403,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ( segmentP @ sk__7 @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl50,zip_derived_cl50]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( segmentP @ sk__6 @ X0 )
      | ( nil = sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    ( ( neq @ sk__7 @ nil )
    | ( nil != sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl350,plain,
    ( ( nil != sk__6 )
    | ~ ( ssList @ sk__7 )
    | ( sk__7 != nil )
    | ~ ( ssList @ nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl9]) ).

thf(zip_derived_cl51,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_002,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl320,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl50]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl12,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl352,plain,
    ( ( nil != sk__6 )
    | ( sk__7 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl320,zip_derived_cl12]) ).

thf(zip_derived_cl49,plain,
    ( ( nil != sk__9 )
    | ( nil = sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl317,plain,
    ( ( nil != sk__9 )
    | ( nil = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl44]) ).

thf(zip_derived_cl50_003,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl318,plain,
    ( ( nil != sk__7 )
    | ( nil = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl50]) ).

thf(zip_derived_cl358,plain,
    sk__7 != nil,
    inference(clc,[status(thm)],[zip_derived_cl352,zip_derived_cl318]) ).

thf(zip_derived_cl546,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( segmentP @ sk__6 @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl41,zip_derived_cl358]) ).

thf(zip_derived_cl552,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ~ ( segmentP @ sk__6 @ sk__10 )
    | ~ ( neq @ sk__10 @ nil )
    | ~ ( ssList @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl546]) ).

thf(zip_derived_cl48,plain,
    ( ~ ( neq @ sk__9 @ nil )
    | ( ssList @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_004,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl335,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ( ssList @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl50]) ).

thf(zip_derived_cl10_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl498,plain,
    ( ( ssList @ sk__10 )
    | ~ ( ssList @ sk__7 )
    | ( sk__7 = nil )
    | ~ ( ssList @ nil ) ),
    inference('sup+',[status(thm)],[zip_derived_cl335,zip_derived_cl10]) ).

thf(zip_derived_cl320_006,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl50]) ).

thf(zip_derived_cl12_007,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl501,plain,
    ( ( ssList @ sk__10 )
    | ( sk__7 = nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl320,zip_derived_cl12]) ).

thf(zip_derived_cl358_008,plain,
    sk__7 != nil,
    inference(clc,[status(thm)],[zip_derived_cl352,zip_derived_cl318]) ).

thf(zip_derived_cl502,plain,
    ssList @ sk__10,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl501,zip_derived_cl358]) ).

thf(zip_derived_cl555,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ~ ( segmentP @ sk__6 @ sk__10 )
    | ~ ( neq @ sk__10 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl552,zip_derived_cl502]) ).

thf(zip_derived_cl45,plain,
    ( ~ ( neq @ sk__9 @ nil )
    | ( segmentP @ sk__8 @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_009,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_010,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl402,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ( segmentP @ sk__6 @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl50,zip_derived_cl44]) ).

thf(zip_derived_cl576,plain,
    ( ~ ( neq @ sk__10 @ nil )
    | ~ ( neq @ sk__7 @ nil ) ),
    inference(clc,[status(thm)],[zip_derived_cl555,zip_derived_cl402]) ).

thf(zip_derived_cl47,plain,
    ( ~ ( neq @ sk__9 @ nil )
    | ( neq @ sk__10 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_011,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl364,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ( neq @ sk__10 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl50]) ).

thf(zip_derived_cl577,plain,
    ~ ( neq @ sk__7 @ nil ),
    inference(clc,[status(thm)],[zip_derived_cl576,zip_derived_cl364]) ).

thf(zip_derived_cl583,plain,
    ( ~ ( ssList @ sk__7 )
    | ( sk__7 = nil )
    | ~ ( ssList @ nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl577]) ).

thf(zip_derived_cl320_012,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl50]) ).

thf(zip_derived_cl12_013,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl586,plain,
    sk__7 = nil,
    inference(demod,[status(thm)],[zip_derived_cl583,zip_derived_cl320,zip_derived_cl12]) ).

thf(zip_derived_cl358_014,plain,
    sk__7 != nil,
    inference(clc,[status(thm)],[zip_derived_cl352,zip_derived_cl318]) ).

thf(zip_derived_cl587,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl586,zip_derived_cl358]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWC054+1 : TPTP v9.2.0. Released v2.4.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.whQnVBOthX true
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 17:09:23 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.56/0.66  % Total configuration time : 435
% 0.56/0.66  % Estimated wc time : 1092
% 0.56/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.79  % Solved by fo/fo3_bce.sh.
% 0.57/0.79  % BCE start: 53
% 0.57/0.79  % BCE eliminated: 0
% 0.57/0.79  % PE start: 53
% 0.57/0.79  logic: eq
% 0.57/0.79  % PE eliminated: 0
% 0.57/0.79  % done 90 iterations in 0.042s
% 0.57/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.79  % SZS output start Refutation
% See solution above
% 0.57/0.79  
% 0.57/0.79  
% 0.57/0.79  % Terminating...
% 0.63/0.88  % Runner terminated.
% 1.71/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------