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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV055^5 : 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.AQWp6W0jdF true

% Computer : n025.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 04:57:05 PM UTC 2025

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :    9 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   92 (   2   ~;   2   |;   6   &;  68   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   35 (   4   ^;  29   !;   2   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(sk__1_type,type,
    sk__1: a > a ).

thf(sk__2_type,type,
    sk__2: ( a > $o ) > a ).

thf(sk__3_type,type,
    sk__3: a > ( a > $o ) > a ).

thf(sk__type,type,
    sk_: a > a > $o ).

thf(cTHM402_pme,conjecture,
    ! [R: a > a > $o,U: ( a > $o ) > a] :
      ( ( ! [Xx: a,Xy: a,Xz: a] :
            ( ( ( R @ Xx @ Xy )
              & ( R @ Xy @ Xz ) )
           => ( R @ Xx @ Xz ) )
        & ! [Xs: a > $o] :
            ( ! [Xj: a] :
                ( ! [Xk: a] :
                    ( ( Xs @ Xk )
                   => ( R @ Xk @ Xj ) )
               => ( R @ ( U @ Xs ) @ Xj ) )
            & ! [Xz: a] :
                ( ( Xs @ Xz )
               => ( R @ Xz @ ( U @ Xs ) ) ) ) )
     => ! [Xf: a > a] :
          ( ! [Xx: a,Xy: a] :
              ( ( R @ Xx @ Xy )
             => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
         => ? [Xw: a] : ( R @ Xw @ ( Xf @ Xw ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [R: a > a > $o,U: ( a > $o ) > a] :
        ( ( ! [Xx: a,Xy: a,Xz: a] :
              ( ( ( R @ Xx @ Xy )
                & ( R @ Xy @ Xz ) )
             => ( R @ Xx @ Xz ) )
          & ! [Xs: a > $o] :
              ( ! [Xj: a] :
                  ( ! [Xk: a] :
                      ( ( Xs @ Xk )
                     => ( R @ Xk @ Xj ) )
                 => ( R @ ( U @ Xs ) @ Xj ) )
              & ! [Xz: a] :
                  ( ( Xs @ Xz )
                 => ( R @ Xz @ ( U @ Xs ) ) ) ) )
       => ! [Xf: a > a] :
            ( ! [Xx: a,Xy: a] :
                ( ( R @ Xx @ Xy )
               => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
           => ? [Xw: a] : ( R @ Xw @ ( Xf @ Xw ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM402_pme]) ).

thf(zip_derived_cl2,plain,
    ! [X2: a > $o,X3: a] :
      ( ( sk_ @ ( sk__2 @ X2 ) @ X3 )
      | ( X2 @ ( sk__3 @ X3 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: a] :
      ( ( sk_
        @ ( sk__2
          @ ^ [Y0: a] : $false )
        @ X0 )
      | ( ^ [Y0: a] : $false
        @ ( sk__3 @ X0
          @ ^ [Y0: a] : $false ) ) ),
    inference('ho.refine',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl22,plain,
    ! [X0: a] :
      ( sk_
      @ ( sk__2
        @ ^ [Y0: a] : $false )
      @ X0 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl4,plain,
    ! [X7: a] :
      ~ ( sk_ @ X7 @ ( sk__1 @ X7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEV055^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AQWp6W0jdF true
% 0.13/0.35  % Computer : n025.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 15:40:23 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
% 0.46/0.63  % Total configuration time : 828
% 0.46/0.63  % Estimated wc time : 1656
% 0.46/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.76  % Solved by lams/40_c.s.sh.
% 0.58/0.76  % done 4 iterations in 0.029s
% 0.58/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.76  % SZS output start Refutation
% See solution above
% 0.58/0.76  
% 0.58/0.76  
% 0.58/0.76  % Terminating...
% 0.65/0.85  % Runner terminated.
% 1.83/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------