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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO213^5 : 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.PTs1wliucY true

% Computer : n031.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 05:07:01 PM UTC 2025

% Result   : Theorem 7.44s 1.62s
% Output   : Refutation 7.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   18 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   71 (  22 equ;  10 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  128 (  13   ~;   1   |;   0   &;  89   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   35 (  35   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   2 usr;   5 con; 0-2 aty)
%                                         (   9  !!;   7  ??;   0 @@+;   0 @@-)
%            Number of variables   :   51 (  26   ^;  21   !;   4   ?;  51   :)

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

thf('#sk1_type',type,
    '#sk1': a > a > $o ).

thf('#sk16_type',type,
    '#sk16': ( a > $o ) > a ).

thf(cCT30,conjecture,
    ~ ? [Xg: a > a > $o] :
      ! [Xf: a > $o] :
      ? [Xj: a] :
      ! [Xp: $o > $o] :
        ( ( Xp
          @ ( ( Xg @ Xj )
            = Xf ) )
       => ( Xp @ ( Xf = Xf ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [Xg: a > a > $o] :
    ! [Xf: a > $o] :
    ? [Xj: a] :
    ! [Xp: $o > $o] :
      ( ( Xp
        @ ( ( Xg @ Xj )
          = Xf ) )
     => ( Xp @ ( Xf = Xf ) ) ),
    inference('cnf.neg',[status(esa)],[cCT30]) ).

thf(zip_derived_cl0,plain,
    ( ??
    @ ^ [Y0: a > a > $o] :
        ( !!
        @ ^ [Y1: a > $o] :
            ( ??
            @ ^ [Y2: a] :
                ( !!
                @ ^ [Y3: $o > $o] :
                    ( ( Y3
                      @ ( ( Y0 @ Y2 )
                        = Y1 ) )
                   => ( Y3 @ ( Y1 = Y1 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( ??
    @ ^ [Y0: a > a > $o] :
        ( !!
        @ ^ [Y1: a > $o] :
            ( ??
            @ ^ [Y2: a] :
                ( !!
                @ ^ [Y3: $o > $o] :
                    ( ( Y3
                      @ ( ( Y0 @ Y2 )
                        = Y1 ) )
                   => ( Y3 @ $true ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: a > $o] :
        ( ??
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: $o > $o] :
                ( ( Y2
                  @ ( ( '#sk1' @ Y1 )
                    = Y0 ) )
               => ( Y2 @ $true ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: a > $o] :
      ( ??
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: $o > $o] :
              ( ( Y1
                @ ( ( '#sk1' @ Y0 )
                  = X2 ) )
             => ( Y1 @ $true ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X0: a > $o] :
      ( ??
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: $o > $o] :
              ( ( Y1
                @ ( ( '#sk1' @ Y0 )
                  = ( ^ [Y2: a] : ( (~) @ ( X0 @ Y2 ) ) ) ) )
             => ( Y1 @ $true ) ) ) ),
    inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl28,plain,
    ! [X0: a > $o] :
      ( !!
      @ ^ [Y0: $o > $o] :
          ( ( Y0
            @ ( ( '#sk1' @ ( '#sk16' @ X0 ) )
              = ( ^ [Y1: a] : ( (~) @ ( X0 @ Y1 ) ) ) ) )
         => ( Y0 @ $true ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl29,plain,
    ! [X0: a > $o,X2: $o > $o] :
      ( ( X2
        @ ( ( '#sk1' @ ( '#sk16' @ X0 ) )
          = ( ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) ) )
     => ( X2 @ $true ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl34,plain,
    ! [X0: a > $o,X2: $o > $o] :
      ( ~ ( X2
          @ ( ( '#sk1' @ ( '#sk16' @ X0 ) )
            = ( ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) ) )
      | ( X2 @ $true ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl310,plain,
    ! [X0: a > $o] :
      ( ^ [Y0: $o] :
          ( Y0
          = ( ( '#sk1' @ ( '#sk16' @ X0 ) )
            = ( ^ [Y1: a] : ( (~) @ ( X0 @ Y1 ) ) ) ) )
      @ $true ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl315,plain,
    ! [X0: a > $o] :
      ( $true
      = ( ( '#sk1' @ ( '#sk16' @ X0 ) )
        = ( ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl310]) ).

thf(zip_derived_cl316,plain,
    ! [X0: a > $o] :
      ( ( '#sk1' @ ( '#sk16' @ X0 ) )
      = ( ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl315]) ).

thf(zip_derived_cl317,plain,
    ! [X0: a > $o] :
      ( ( '#sk1' @ ( '#sk16' @ X0 ) )
      = ( ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl316]) ).

thf(zip_derived_cl1152,plain,
    ! [X0: a > $o,X1: a] :
      ( ( '#sk1' @ ( '#sk16' @ X0 ) @ X1 )
      = ( ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) )
        @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl317]) ).

thf(zip_derived_cl1153,plain,
    ! [X0: a > $o,X1: a] :
      ( ( '#sk1' @ ( '#sk16' @ X0 ) @ X1 )
      = ( (~) @ ( X0 @ X1 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1152]) ).

thf(zip_derived_cl1154,plain,
    ! [X0: a > $o,X1: a] :
      ( ( '#sk1' @ ( '#sk16' @ X0 ) @ X1 )
     != ( X0 @ X1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1153]) ).

thf(zip_derived_cl1244,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl1154]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO213^5 : 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.PTs1wliucY true
% 0.14/0.34  % Computer : n031.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % 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 17:59:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.56/0.67  % Total configuration time : 828
% 0.56/0.67  % Estimated wc time : 1656
% 0.56/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.80  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 7.44/1.62  % Solved by lams/30_sp5.sh.
% 7.44/1.62  % done 126 iterations in 0.783s
% 7.44/1.62  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.44/1.62  % SZS output start Refutation
% See solution above
% 7.44/1.62  
% 7.44/1.62  
% 7.44/1.62  % Terminating...
% 8.60/1.73  % Runner terminated.
% 8.60/1.73  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------