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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO250^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZV50hofCQD true

% Computer : n009.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 05:07:06 PM UTC 2025

% Result   : Theorem 0.57s 0.77s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    4 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :  182 ( 181 equ;   0 cnn)
%            Maximal formula atoms :   90 (  45 avg)
%            Number of connectives :  448 ( 142   ~;  10   |; 152   &; 128   @)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   73 (  38 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :   28 (   0   ^;   4   !;  24   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cSIXFRIENDS,conjecture,
    ? [Xa: $i,Xaa: $i,Xb: $i,Xbb: $i,Xc: $i,Xcc: $i,Xd: $i,Xdd: $i,Xe: $i,Xee: $i,Xh: $i,Xhh: $i] :
      ( ( ( Xa != Xaa )
        & ( Xa != Xb )
        & ( Xa != Xbb )
        & ( Xa != Xc )
        & ( Xa != Xcc )
        & ( Xa != Xd )
        & ( Xa != Xdd )
        & ( Xa != Xe )
        & ( Xa != Xee )
        & ( Xa != Xh )
        & ( Xa != Xhh )
        & ( Xaa != Xb )
        & ( Xaa != Xbb )
        & ( Xaa != Xc )
        & ( Xaa != Xcc )
        & ( Xaa != Xd )
        & ( Xaa != Xdd )
        & ( Xaa != Xe )
        & ( Xaa != Xee )
        & ( Xaa != Xh )
        & ( Xaa != Xhh )
        & ( Xb != Xbb )
        & ( Xb != Xc )
        & ( Xb != Xcc )
        & ( Xb != Xd )
        & ( Xb != Xdd )
        & ( Xb != Xe )
        & ( Xb != Xee )
        & ( Xb != Xh )
        & ( Xb != Xhh )
        & ( Xc != Xcc )
        & ( Xc != Xd )
        & ( Xc != Xdd )
        & ( Xc != Xe )
        & ( Xc != Xee )
        & ( Xc != Xh )
        & ( Xc != Xhh )
        & ( Xcc != Xd )
        & ( Xcc != Xdd )
        & ( Xcc != Xe )
        & ( Xcc != Xee )
        & ( Xcc != Xh )
        & ( Xcc != Xhh )
        & ( Xd != Xdd )
        & ( Xd != Xe )
        & ( Xd != Xee )
        & ( Xd != Xh )
        & ( Xd != Xhh )
        & ( Xdd != Xe )
        & ( Xdd != Xee )
        & ( Xdd != Xh )
        & ( Xdd != Xhh )
        & ( Xe != Xee )
        & ( Xe != Xh )
        & ( Xe != Xhh )
        & ( Xee != Xh )
        & ( Xee != Xhh )
        & ( Xh != Xhh ) )
     => ! [P: $i > $i] :
          ( ( ( ( ( ( P @ Xa )
                  = ( P @ Xaa ) )
                & ( ( P @ Xb )
                  = ( P @ Xbb ) )
                & ( ( P @ Xe )
                  = ( P @ Xhh ) ) )
             => ( ( P @ Xc )
                = ( P @ Xdd ) ) )
            & ( ( ( ( P @ Xa )
                  = ( P @ Xaa ) )
                & ( ( P @ Xh )
                  = ( P @ Xhh ) )
                & ( ( P @ Xb )
                  = ( P @ Xcc ) ) )
             => ( ( P @ Xd )
               != ( P @ Xee ) ) )
            & ( ( ( ( P @ Xc )
                  = ( P @ Xcc ) )
                & ( ( P @ Xcc )
                  = ( P @ Xd ) )
                & ( ( P @ Xd )
                  = ( P @ Xdd ) )
                & ( ( P @ Xa )
                 != ( P @ Xbb ) ) )
             => ( ( P @ Xe )
               != ( P @ Xhh ) ) )
            & ( ( ( ( P @ Xa )
                  = ( P @ Xaa ) )
                & ( ( P @ Xd )
                  = ( P @ Xdd ) )
                & ( ( P @ Xb )
                 != ( P @ Xcc ) ) )
             => ( ( P @ Xe )
                = ( P @ Xhh ) ) )
            & ( ( ( ( P @ Xe )
                  = ( P @ Xee ) )
                & ( ( P @ Xh )
                  = ( P @ Xhh ) )
                & ( ( P @ Xc )
                  = ( P @ Xdd ) ) )
             => ( ( P @ Xa )
               != ( P @ Xbb ) ) )
            & ( ( ( ( P @ Xb )
                  = ( P @ Xbb ) )
                & ( ( P @ Xbb )
                  = ( P @ Xc ) )
                & ( ( P @ Xc )
                  = ( P @ Xcc ) )
                & ( ( P @ Xe )
                 != ( P @ Xhh ) ) )
             => ( ( P @ Xd )
                = ( P @ Xee ) ) ) )
         => ( ( ( P @ Xa )
             != ( P @ Xaa ) )
            | ( ( P @ Xb )
             != ( P @ Xbb ) )
            | ( ( P @ Xc )
             != ( P @ Xcc ) )
            | ( ( P @ Xd )
             != ( P @ Xdd ) )
            | ( ( P @ Xe )
             != ( P @ Xee ) )
            | ( ( P @ Xh )
             != ( P @ Xhh ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Xa: $i,Xaa: $i,Xb: $i,Xbb: $i,Xc: $i,Xcc: $i,Xd: $i,Xdd: $i,Xe: $i,Xee: $i,Xh: $i,Xhh: $i] :
        ( ( ( Xa != Xaa )
          & ( Xa != Xb )
          & ( Xa != Xbb )
          & ( Xa != Xc )
          & ( Xa != Xcc )
          & ( Xa != Xd )
          & ( Xa != Xdd )
          & ( Xa != Xe )
          & ( Xa != Xee )
          & ( Xa != Xh )
          & ( Xa != Xhh )
          & ( Xaa != Xb )
          & ( Xaa != Xbb )
          & ( Xaa != Xc )
          & ( Xaa != Xcc )
          & ( Xaa != Xd )
          & ( Xaa != Xdd )
          & ( Xaa != Xe )
          & ( Xaa != Xee )
          & ( Xaa != Xh )
          & ( Xaa != Xhh )
          & ( Xb != Xbb )
          & ( Xb != Xc )
          & ( Xb != Xcc )
          & ( Xb != Xd )
          & ( Xb != Xdd )
          & ( Xb != Xe )
          & ( Xb != Xee )
          & ( Xb != Xh )
          & ( Xb != Xhh )
          & ( Xc != Xcc )
          & ( Xc != Xd )
          & ( Xc != Xdd )
          & ( Xc != Xe )
          & ( Xc != Xee )
          & ( Xc != Xh )
          & ( Xc != Xhh )
          & ( Xcc != Xd )
          & ( Xcc != Xdd )
          & ( Xcc != Xe )
          & ( Xcc != Xee )
          & ( Xcc != Xh )
          & ( Xcc != Xhh )
          & ( Xd != Xdd )
          & ( Xd != Xe )
          & ( Xd != Xee )
          & ( Xd != Xh )
          & ( Xd != Xhh )
          & ( Xdd != Xe )
          & ( Xdd != Xee )
          & ( Xdd != Xh )
          & ( Xdd != Xhh )
          & ( Xe != Xee )
          & ( Xe != Xh )
          & ( Xe != Xhh )
          & ( Xee != Xh )
          & ( Xee != Xhh )
          & ( Xh != Xhh ) )
       => ! [P: $i > $i] :
            ( ( ( ( ( ( P @ Xa )
                    = ( P @ Xaa ) )
                  & ( ( P @ Xb )
                    = ( P @ Xbb ) )
                  & ( ( P @ Xe )
                    = ( P @ Xhh ) ) )
               => ( ( P @ Xc )
                  = ( P @ Xdd ) ) )
              & ( ( ( ( P @ Xa )
                    = ( P @ Xaa ) )
                  & ( ( P @ Xh )
                    = ( P @ Xhh ) )
                  & ( ( P @ Xb )
                    = ( P @ Xcc ) ) )
               => ( ( P @ Xd )
                 != ( P @ Xee ) ) )
              & ( ( ( ( P @ Xc )
                    = ( P @ Xcc ) )
                  & ( ( P @ Xcc )
                    = ( P @ Xd ) )
                  & ( ( P @ Xd )
                    = ( P @ Xdd ) )
                  & ( ( P @ Xa )
                   != ( P @ Xbb ) ) )
               => ( ( P @ Xe )
                 != ( P @ Xhh ) ) )
              & ( ( ( ( P @ Xa )
                    = ( P @ Xaa ) )
                  & ( ( P @ Xd )
                    = ( P @ Xdd ) )
                  & ( ( P @ Xb )
                   != ( P @ Xcc ) ) )
               => ( ( P @ Xe )
                  = ( P @ Xhh ) ) )
              & ( ( ( ( P @ Xe )
                    = ( P @ Xee ) )
                  & ( ( P @ Xh )
                    = ( P @ Xhh ) )
                  & ( ( P @ Xc )
                    = ( P @ Xdd ) ) )
               => ( ( P @ Xa )
                 != ( P @ Xbb ) ) )
              & ( ( ( ( P @ Xb )
                    = ( P @ Xbb ) )
                  & ( ( P @ Xbb )
                    = ( P @ Xc ) )
                  & ( ( P @ Xc )
                    = ( P @ Xcc ) )
                  & ( ( P @ Xe )
                   != ( P @ Xhh ) ) )
               => ( ( P @ Xd )
                  = ( P @ Xee ) ) ) )
           => ( ( ( P @ Xa )
               != ( P @ Xaa ) )
              | ( ( P @ Xb )
               != ( P @ Xbb ) )
              | ( ( P @ Xc )
               != ( P @ Xcc ) )
              | ( ( P @ Xd )
               != ( P @ Xdd ) )
              | ( ( P @ Xe )
               != ( P @ Xee ) )
              | ( ( P @ Xh )
               != ( P @ Xhh ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cSIXFRIENDS]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] : ( X1 != X0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl70,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO250^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZV50hofCQD true
% 0.13/0.34  % Computer : n009.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 17:59:23 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.55/0.66  % Total configuration time : 828
% 0.55/0.66  % Estimated wc time : 1656
% 0.55/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77  % Solved by lams/40_c.s.sh.
% 0.57/0.77  % done 0 iterations in 0.016s
% 0.57/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.77  % SZS output start Refutation
% See solution above
% 0.57/0.77  
% 0.57/0.77  
% 0.57/0.77  % Terminating...
% 1.78/0.86  % Runner terminated.
% 1.78/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------