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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU859^5 : 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.YfV3KgGCGi true

% Computer : n003.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 04:56:45 PM UTC 2025

% Result   : Theorem 0.53s 0.83s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   29 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :  183 (  37 equ;   0 cnn)
%            Maximal formula atoms :   14 (   6 avg)
%            Number of connectives :  355 (  13   ~;  45   |;  17   &; 189   @)
%                                         (   0 <=>;  46  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (  10 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   53 (  53   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   5 usr;   4 con; 0-2 aty)
%                                         (  45  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  125 (  99   ^;  26   !;   0   ?; 125   :)

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

thf('#sk2_type',type,
    '#sk2': a ).

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

thf('#sk13_type',type,
    '#sk13': ( ( a > $o ) > $o ) > a > $o ).

thf('#sk3_type',type,
    '#sk3': ( a > $o ) > $o ).

thf('#sk17_type',type,
    '#sk17': ( ( a > $o ) > $o ) > a ).

thf(cTHM164_pme,conjecture,
    ! [Xr: a > $o,Xx: a] :
      ( ! [Xw: ( a > $o ) > $o] :
          ( ( ! [Xr0: a > $o,Xx0: a] :
                ( ( Xw @ Xr0 )
               => ( Xw
                  @ ^ [Xt: a] :
                      ( ( Xt = Xx0 )
                      | ( Xr0 @ Xt ) ) ) )
            & ( Xw
              @ ^ [Xx0: a] : $false ) )
         => ( Xw @ Xr ) )
     => ! [Xw: ( a > $o ) > $o] :
          ( ( ! [Xr0: a > $o,Xx0: a] :
                ( ( Xw @ Xr0 )
               => ( Xw
                  @ ^ [Xt: a] :
                      ( ( Xt = Xx0 )
                      | ( Xr0 @ Xt ) ) ) )
            & ( Xw
              @ ^ [Xx0: a] : $false ) )
         => ( Xw
            @ ^ [Xt: a] :
                ( ( Xt = Xx )
                | ( Xr @ Xt ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xr: a > $o,Xx: a] :
        ( ! [Xw: ( a > $o ) > $o] :
            ( ( ! [Xr0: a > $o,Xx0: a] :
                  ( ( Xw @ Xr0 )
                 => ( Xw
                    @ ^ [Xt: a] :
                        ( ( Xt = Xx0 )
                        | ( Xr0 @ Xt ) ) ) )
              & ( Xw
                @ ^ [Xx0: a] : $false ) )
           => ( Xw @ Xr ) )
       => ! [Xw: ( a > $o ) > $o] :
            ( ( ! [Xr0: a > $o,Xx0: a] :
                  ( ( Xw @ Xr0 )
                 => ( Xw
                    @ ^ [Xt: a] :
                        ( ( Xt = Xx0 )
                        | ( Xr0 @ Xt ) ) ) )
              & ( Xw
                @ ^ [Xx0: a] : $false ) )
           => ( Xw
              @ ^ [Xt: a] :
                  ( ( Xt = Xx )
                  | ( Xr @ Xt ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM164_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( !!
          @ ^ [Y1: a] :
              ( ( !!
                @ ^ [Y2: ( a > $o ) > $o] :
                    ( ( ( !!
                        @ ^ [Y3: a > $o] :
                            ( !!
                            @ ^ [Y4: a] :
                                ( ( Y2 @ Y3 )
                               => ( Y2
                                  @ ^ [Y5: a] :
                                      ( ( Y5 = Y4 )
                                      | ( Y3 @ Y5 ) ) ) ) ) )
                      & ( Y2
                        @ ^ [Y3: a] : $false ) )
                   => ( Y2 @ Y0 ) ) )
             => ( !!
                @ ^ [Y2: ( a > $o ) > $o] :
                    ( ( ( !!
                        @ ^ [Y3: a > $o] :
                            ( !!
                            @ ^ [Y4: a] :
                                ( ( Y2 @ Y3 )
                               => ( Y2
                                  @ ^ [Y5: a] :
                                      ( ( Y5 = Y4 )
                                      | ( Y3 @ Y5 ) ) ) ) ) )
                      & ( Y2
                        @ ^ [Y3: a] : $false ) )
                   => ( Y2
                      @ ^ [Y3: a] :
                          ( ( Y3 = Y1 )
                          | ( Y0 @ Y3 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( ( !!
            @ ^ [Y1: ( a > $o ) > $o] :
                ( ( ( !!
                    @ ^ [Y2: a > $o] :
                        ( !!
                        @ ^ [Y3: a] :
                            ( ( Y1 @ Y2 )
                           => ( Y1
                              @ ^ [Y4: a] :
                                  ( ( Y4 = Y3 )
                                  | ( Y2 @ Y4 ) ) ) ) ) )
                  & ( Y1
                    @ ^ [Y2: a] : $false ) )
               => ( Y1 @ '#sk1' ) ) )
         => ( !!
            @ ^ [Y1: ( a > $o ) > $o] :
                ( ( ( !!
                    @ ^ [Y2: a > $o] :
                        ( !!
                        @ ^ [Y3: a] :
                            ( ( Y1 @ Y2 )
                           => ( Y1
                              @ ^ [Y4: a] :
                                  ( ( Y4 = Y3 )
                                  | ( Y2 @ Y4 ) ) ) ) ) )
                  & ( Y1
                    @ ^ [Y2: a] : $false ) )
               => ( Y1
                  @ ^ [Y2: a] :
                      ( ( Y2 = Y0 )
                      | ( '#sk1' @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( !!
        @ ^ [Y0: ( a > $o ) > $o] :
            ( ( ( !!
                @ ^ [Y1: a > $o] :
                    ( !!
                    @ ^ [Y2: a] :
                        ( ( Y0 @ Y1 )
                       => ( Y0
                          @ ^ [Y3: a] :
                              ( ( Y3 = Y2 )
                              | ( Y1 @ Y3 ) ) ) ) ) )
              & ( Y0
                @ ^ [Y1: a] : $false ) )
           => ( Y0 @ '#sk1' ) ) )
     => ( !!
        @ ^ [Y0: ( a > $o ) > $o] :
            ( ( ( !!
                @ ^ [Y1: a > $o] :
                    ( !!
                    @ ^ [Y2: a] :
                        ( ( Y0 @ Y1 )
                       => ( Y0
                          @ ^ [Y3: a] :
                              ( ( Y3 = Y2 )
                              | ( Y1 @ Y3 ) ) ) ) ) )
              & ( Y0
                @ ^ [Y1: a] : $false ) )
           => ( Y0
              @ ^ [Y1: a] :
                  ( ( Y1 = '#sk2' )
                  | ( '#sk1' @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ~ ( !!
      @ ^ [Y0: ( a > $o ) > $o] :
          ( ( ( !!
              @ ^ [Y1: a > $o] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( Y0 @ Y1 )
                     => ( Y0
                        @ ^ [Y3: a] :
                            ( ( Y3 = Y2 )
                            | ( Y1 @ Y3 ) ) ) ) ) )
            & ( Y0
              @ ^ [Y1: a] : $false ) )
         => ( Y0
            @ ^ [Y1: a] :
                ( ( Y1 = '#sk2' )
                | ( '#sk1' @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ~ ( ( ( !!
          @ ^ [Y0: a > $o] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk3' @ Y0 )
                 => ( '#sk3'
                    @ ^ [Y2: a] :
                        ( ( Y2 = Y1 )
                        | ( Y0 @ Y2 ) ) ) ) ) )
        & ( '#sk3'
          @ ^ [Y0: a] : $false ) )
     => ( '#sk3'
        @ ^ [Y0: a] :
            ( ( Y0 = '#sk2' )
            | ( '#sk1' @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl10,plain,
    ~ ( '#sk3'
      @ ^ [Y0: a] :
          ( ( Y0 = '#sk2' )
          | ( '#sk1' @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: ( a > $o ) > $o] :
        ( ( ( !!
            @ ^ [Y1: a > $o] :
                ( !!
                @ ^ [Y2: a] :
                    ( ( Y0 @ Y1 )
                   => ( Y0
                      @ ^ [Y3: a] :
                          ( ( Y3 = Y2 )
                          | ( Y1 @ Y3 ) ) ) ) ) )
          & ( Y0
            @ ^ [Y1: a] : $false ) )
       => ( Y0 @ '#sk1' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X2: ( a > $o ) > $o] :
      ( ( ( !!
          @ ^ [Y0: a > $o] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( X2 @ Y0 )
                 => ( X2
                    @ ^ [Y2: a] :
                        ( ( Y2 = Y1 )
                        | ( Y0 @ Y2 ) ) ) ) ) )
        & ( X2
          @ ^ [Y0: a] : $false ) )
     => ( X2 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ( ( ( !!
        @ ^ [Y0: a > $o] :
            ( !!
            @ ^ [Y1: a] :
                ( ( '#sk3' @ Y0 )
               => ( '#sk3'
                  @ ^ [Y2: a] :
                      ( ( Y2 = Y1 )
                      | ( Y0 @ Y2 ) ) ) ) ) )
      & ( '#sk3'
        @ ^ [Y0: a] : $false ) )
   => ( '#sk3' @ '#sk1' ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ( ( !!
      @ ^ [Y0: a > $o] :
          ( !!
          @ ^ [Y1: a] :
              ( ( '#sk3' @ Y0 )
             => ( '#sk3'
                @ ^ [Y2: a] :
                    ( ( Y2 = Y1 )
                    | ( Y0 @ Y2 ) ) ) ) ) )
    & ( '#sk3'
      @ ^ [Y0: a] : $false ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl13,plain,
    ( '#sk3'
    @ ^ [Y0: a] : $false ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl32,plain,
    ( ( ( !!
        @ ^ [Y0: a > $o] :
            ( !!
            @ ^ [Y1: a] :
                ( ( '#sk3' @ Y0 )
               => ( '#sk3'
                  @ ^ [Y2: a] :
                      ( ( Y2 = Y1 )
                      | ( Y0 @ Y2 ) ) ) ) ) )
      & $true )
   => ( '#sk3' @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).

thf(zip_derived_cl33,plain,
    ( ( !!
      @ ^ [Y0: a > $o] :
          ( !!
          @ ^ [Y1: a] :
              ( ( '#sk3' @ Y0 )
             => ( '#sk3'
                @ ^ [Y2: a] :
                    ( ( Y2 = Y1 )
                    | ( Y0 @ Y2 ) ) ) ) ) )
   => ( '#sk3' @ '#sk1' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl34,plain,
    ( ~ ( !!
        @ ^ [Y0: a > $o] :
            ( !!
            @ ^ [Y1: a] :
                ( ( '#sk3' @ Y0 )
               => ( '#sk3'
                  @ ^ [Y2: a] :
                      ( ( Y2 = Y1 )
                      | ( Y0 @ Y2 ) ) ) ) ) )
    | ( '#sk3' @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl35,plain,
    ( ~ ( !!
        @ ^ [Y0: a] :
            ( ( '#sk3' @ ( '#sk13' @ '#sk3' ) )
           => ( '#sk3'
              @ ^ [Y1: a] :
                  ( ( Y1 = Y0 )
                  | ( '#sk13' @ '#sk3' @ Y1 ) ) ) ) )
    | ( '#sk3' @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl36,plain,
    ( ~ ( ( '#sk3' @ ( '#sk13' @ '#sk3' ) )
       => ( '#sk3'
          @ ^ [Y0: a] :
              ( ( Y0
                = ( '#sk17' @ '#sk3' ) )
              | ( '#sk13' @ '#sk3' @ Y0 ) ) ) )
    | ( '#sk3' @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl38,plain,
    ( ~ ( '#sk3'
        @ ^ [Y0: a] :
            ( ( Y0
              = ( '#sk17' @ '#sk3' ) )
            | ( '#sk13' @ '#sk3' @ Y0 ) ) )
    | ( '#sk3' @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl37,plain,
    ( ( '#sk3' @ ( '#sk13' @ '#sk3' ) )
    | ( '#sk3' @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl12,plain,
    ( !!
    @ ^ [Y0: a > $o] :
        ( !!
        @ ^ [Y1: a] :
            ( ( '#sk3' @ Y0 )
           => ( '#sk3'
              @ ^ [Y2: a] :
                  ( ( Y2 = Y1 )
                  | ( Y0 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl15,plain,
    ! [X2: a > $o] :
      ( !!
      @ ^ [Y0: a] :
          ( ( '#sk3' @ X2 )
         => ( '#sk3'
            @ ^ [Y1: a] :
                ( ( Y1 = Y0 )
                | ( X2 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl19,plain,
    ! [X2: a > $o,X4: a] :
      ( ( '#sk3' @ X2 )
     => ( '#sk3'
        @ ^ [Y0: a] :
            ( ( Y0 = X4 )
            | ( X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl22,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( '#sk3' @ X2 )
      | ( '#sk3'
        @ ^ [Y0: a] :
            ( ( Y0 = X4 )
            | ( X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl57,plain,
    ! [X0: a] :
      ( ( '#sk3' @ '#sk1' )
      | ( '#sk3'
        @ ^ [Y0: a] :
            ( ( Y0 = X0 )
            | ( '#sk13' @ '#sk3' @ Y0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl22]) ).

thf(zip_derived_cl71,plain,
    '#sk3' @ '#sk1',
    inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl57]) ).

thf(zip_derived_cl22_001,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( '#sk3' @ X2 )
      | ( '#sk3'
        @ ^ [Y0: a] :
            ( ( Y0 = X4 )
            | ( X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl72,plain,
    ! [X0: a] :
      ( '#sk3'
      @ ^ [Y0: a] :
          ( ( Y0 = X0 )
          | ( '#sk1' @ Y0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl22]) ).

thf(zip_derived_cl74,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl72]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU859^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YfV3KgGCGi true
% 0.13/0.34  % Computer : n003.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 16:04:38 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.46/0.62  % Total configuration time : 828
% 0.46/0.62  % Estimated wc time : 1656
% 0.46/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.53/0.83  % Solved by lams/20_acsne_simpl.sh.
% 0.53/0.83  % done 15 iterations in 0.078s
% 0.53/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.83  % SZS output start Refutation
% See solution above
% 0.53/0.83  
% 0.53/0.83  
% 0.53/0.83  % Terminating...
% 1.59/0.98  % Runner terminated.
% 1.67/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------