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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC048+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.UMrXQCne4x true

% Computer : n015.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 04:58:24 PM UTC 2025

% Result   : Theorem 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   56 (  23 unt;   0 typ;   0 def)
%            Number of atoms       :  142 (  52 equ;   0 cnn)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives :  282 (  58   ~;  59   |;  11   &; 138   @)
%                                         (   1 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   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   :   26 (   0   ^;  24   !;   2   ?;  26   :)

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

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

thf(rearsegP_type,type,
    rearsegP: $i > $i > $o ).

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

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

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

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

thf(sk__8_type,type,
    sk__8: $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 != V )
                        | ( nil = U ) )
                      & ( ~ ( neq @ V @ nil )
                        | ? [Y: $i] :
                            ( ( rearsegP @ U @ Y )
                            & ( rearsegP @ V @ Y )
                            & ( neq @ Y @ nil )
                            & ( ssList @ Y ) ) ) )
                    | ( ( ( nil != X )
                        | ( nil != W ) )
                      & ( ~ ( neq @ W @ nil )
                        | ~ ( rearsegP @ 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 )
                      | ( ( ( nil != V )
                          | ( nil = U ) )
                        & ( ~ ( neq @ V @ nil )
                          | ? [Y: $i] :
                              ( ( rearsegP @ U @ Y )
                              & ( rearsegP @ V @ Y )
                              & ( neq @ Y @ nil )
                              & ( ssList @ Y ) ) ) )
                      | ( ( ( nil != X )
                          | ( nil != W ) )
                        & ( ~ ( neq @ W @ nil )
                          | ~ ( rearsegP @ X @ W ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl41,plain,
    ( ( nil != sk__5 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54,plain,
    ( ( nil != sk__5 )
    | ( neq @ sk__6 @ sk__5 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl41]) ).

thf(ax49,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( rearsegP @ U @ U ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( rearsegP @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax49]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ( nil = sk__6 )
      | ~ ( rearsegP @ sk__5 @ X0 )
      | ~ ( rearsegP @ sk__6 @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl92,plain,
    ( ~ ( ssList @ sk__5 )
    | ~ ( ssList @ sk__5 )
    | ~ ( neq @ sk__5 @ nil )
    | ~ ( rearsegP @ sk__6 @ sk__5 )
    | ( nil = sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl40]) ).

thf(zip_derived_cl37,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_001,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94,plain,
    ( ~ ( neq @ sk__5 @ nil )
    | ~ ( rearsegP @ sk__6 @ sk__5 )
    | ( nil = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl37,zip_derived_cl37]) ).

thf(zip_derived_cl44,plain,
    ( ( nil = sk__8 )
    | ( neq @ sk__7 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ( ( nil = sk__6 )
    | ( neq @ sk__5 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl48,zip_derived_cl43]) ).

thf(zip_derived_cl96,plain,
    ( ( nil = sk__6 )
    | ~ ( rearsegP @ sk__6 @ sk__5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl57]) ).

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

thf(zip_derived_cl48_002,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_003,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_004,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    ( ( nil = sk__6 )
    | ( rearsegP @ sk__6 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl48,zip_derived_cl48,zip_derived_cl43]) ).

thf(zip_derived_cl97,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl96,zip_derived_cl58]) ).

thf(zip_derived_cl107,plain,
    ( ( sk__6 != sk__5 )
    | ( neq @ sk__6 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl97]) ).

thf(zip_derived_cl108,plain,
    ( ( sk__6 != sk__5 )
    | ( neq @ sk__5 @ sk__5 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl107]) ).

thf(ax51,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( rearsegP @ U @ nil ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ( rearsegP @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax51]) ).

thf(zip_derived_cl97_005,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl96,zip_derived_cl58]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i] :
      ( ( rearsegP @ X0 @ sk__6 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl97]) ).

thf(zip_derived_cl47,plain,
    ( ( nil = sk__7 )
    | ( rearsegP @ sk__8 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_006,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_007,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_008,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ( ( nil = sk__5 )
    | ( rearsegP @ sk__6 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl43,zip_derived_cl48,zip_derived_cl43]) ).

thf(ax48,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( ( rearsegP @ U @ V )
              & ( rearsegP @ V @ U ) )
           => ( U = V ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ~ ( rearsegP @ X0 @ X1 )
      | ~ ( rearsegP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax48]) ).

thf(zip_derived_cl72,plain,
    ( ( nil = sk__5 )
    | ~ ( ssList @ sk__5 )
    | ~ ( rearsegP @ sk__5 @ sk__6 )
    | ( sk__5 = sk__6 )
    | ~ ( ssList @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl23]) ).

thf(zip_derived_cl37_009,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    ssList @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_010,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56,plain,
    ssList @ sk__6,
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl48]) ).

thf(zip_derived_cl79,plain,
    ( ( nil = sk__5 )
    | ~ ( rearsegP @ sk__5 @ sk__6 )
    | ( sk__5 = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl37,zip_derived_cl56]) ).

thf(zip_derived_cl97_011,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl96,zip_derived_cl58]) ).

thf(zip_derived_cl112,plain,
    ( ( sk__6 = sk__5 )
    | ~ ( rearsegP @ sk__5 @ sk__6 )
    | ( sk__5 = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl97]) ).

thf(zip_derived_cl113,plain,
    ( ~ ( rearsegP @ sk__5 @ sk__6 )
    | ( sk__6 = sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl112]) ).

thf(zip_derived_cl126,plain,
    ( ~ ( ssList @ sk__5 )
    | ( sk__6 = sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl113]) ).

thf(zip_derived_cl37_012,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129,plain,
    sk__6 = sk__5,
    inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl37]) ).

thf(zip_derived_cl137,plain,
    ( ( sk__5 != sk__5 )
    | ( neq @ sk__5 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl129]) ).

thf(zip_derived_cl138,plain,
    neq @ sk__5 @ sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl137]) ).

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_cl63,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ~ ( neq @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl154,plain,
    ~ ( ssList @ sk__5 ),
    inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl64]) ).

thf(zip_derived_cl37_013,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl155,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl37]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC048+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.UMrXQCne4x true
% 0.14/0.35  % Computer : n015.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 17:15:23 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
% 0.57/0.66  % Total configuration time : 435
% 0.57/0.66  % Estimated wc time : 1092
% 0.57/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.83  % Solved by fo/fo7.sh.
% 0.60/0.83  % done 63 iterations in 0.030s
% 0.60/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.83  % SZS output start Refutation
% See solution above
% 0.60/0.83  
% 0.60/0.83  
% 0.60/0.83  % Terminating...
% 0.64/0.89  % Runner terminated.
% 0.64/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------