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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP137^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yk14UKFntp 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 04:38:57 PM UTC 2025

% Result   : Theorem 24.09s 4.63s
% Output   : Refutation 24.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   53 (  25 equ;   0 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  118 (   9   ~;   0   |;   4   &;  87   @)
%                                         (   4 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   5 usr;   5 con; 0-2 aty)
%                                         (   5  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   19 (  12   ^;   5   !;   2   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(paraco1605129243lle_tv_type,type,
    paraco1605129243lle_tv: $tType ).

thf(paraco1604210848lle_fm_type,type,
    paraco1604210848lle_fm: $tType ).

thf(paraco1325918602e_eval_type,type,
    paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).

thf(paraco445776468le_Neg_type,type,
    paraco445776468le_Neg: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(paraco1344940915le_Det_type,type,
    paraco1344940915le_Det: $o > paraco1605129243lle_tv ).

thf(p_type,type,
    p: paraco1604210848lle_fm ).

thf(list_char_type,type,
    list_char: $tType ).

thf(paraco327635598_valid_type,type,
    paraco327635598_valid: paraco1604210848lle_fm > $o ).

thf(conj_0,conjecture,
    ? [I4: list_char > paraco1605129243lle_tv] :
      ( ( paraco1325918602e_eval @ I4 @ p )
     != ( paraco1344940915le_Det @ $true ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [I4: list_char > paraco1605129243lle_tv] :
        ( ( paraco1325918602e_eval @ I4 @ p )
       != ( paraco1344940915le_Det @ $true ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl357,plain,
    ~ ( ??
      @ ^ [Y0: list_char > paraco1605129243lle_tv] :
          ( ( paraco1325918602e_eval @ Y0 @ p )
         != ( paraco1344940915le_Det @ $true ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_1_assms,axiom,
    paraco327635598_valid @ ( paraco445776468le_Neg @ p ) ).

thf(zip_derived_cl1,plain,
    paraco327635598_valid @ ( paraco445776468le_Neg @ p ),
    inference(cnf,[status(esa)],[fact_1_assms]) ).

thf(fact_0_tv_Oinject_I1_J,axiom,
    ! [X1: $o,Y1: $o] :
      ( ( ( paraco1344940915le_Det @ X1 )
        = ( paraco1344940915le_Det @ Y1 ) )
    <=> ( X1
      <=> Y1 ) ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: $o] :
        ( !!
        @ ^ [Y1: $o] :
            ( ( ( paraco1344940915le_Det @ Y0 )
              = ( paraco1344940915le_Det @ Y1 ) )
          <=> ( Y0
            <=> Y1 ) ) ) ),
    inference(cnf,[status(esa)],[fact_0_tv_Oinject_I1_J]) ).

thf(fact_29_double__negation,axiom,
    ( paraco1325918602e_eval
    = ( ^ [I: list_char > paraco1605129243lle_tv,P: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ I @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ P ) ) ) ) ) ).

thf(zip_derived_cl29,plain,
    ( paraco1325918602e_eval
    = ( ^ [Y0: list_char > paraco1605129243lle_tv,Y1: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ Y0 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_29_double__negation]) ).

thf(fact_7_eval__negation,axiom,
    ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm] :
      ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
          = ( paraco1344940915le_Det @ $false ) )
       => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
          = ( paraco1344940915le_Det @ $true ) ) )
      & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
         != ( paraco1344940915le_Det @ $false ) )
       => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
             != ( paraco1344940915le_Det @ $true ) )
           => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
              = ( paraco1325918602e_eval @ I2 @ P2 ) ) )
          & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
              = ( paraco1344940915le_Det @ $true ) )
           => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
              = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ( !!
    @ ^ [Y0: list_char > paraco1605129243lle_tv] :
        ( !!
        @ ^ [Y1: paraco1604210848lle_fm] :
            ( ( ( ( paraco1325918602e_eval @ Y0 @ Y1 )
                = ( paraco1344940915le_Det @ $false ) )
             => ( ( paraco1325918602e_eval @ Y0 @ ( paraco445776468le_Neg @ Y1 ) )
                = ( paraco1344940915le_Det @ $true ) ) )
            & ( ( ( paraco1325918602e_eval @ Y0 @ Y1 )
               != ( paraco1344940915le_Det @ $false ) )
             => ( ( ( ( paraco1325918602e_eval @ Y0 @ Y1 )
                   != ( paraco1344940915le_Det @ $true ) )
                 => ( ( paraco1325918602e_eval @ Y0 @ ( paraco445776468le_Neg @ Y1 ) )
                    = ( paraco1325918602e_eval @ Y0 @ Y1 ) ) )
                & ( ( ( paraco1325918602e_eval @ Y0 @ Y1 )
                    = ( paraco1344940915le_Det @ $true ) )
                 => ( ( paraco1325918602e_eval @ Y0 @ ( paraco445776468le_Neg @ Y1 ) )
                    = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_7_eval__negation]) ).

thf(fact_2_valid__def,axiom,
    ( paraco327635598_valid
    = ( ^ [P: paraco1604210848lle_fm] :
        ! [I: list_char > paraco1605129243lle_tv] :
          ( ( paraco1325918602e_eval @ I @ P )
          = ( paraco1344940915le_Det @ $true ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ( paraco327635598_valid
    = ( ^ [Y0: paraco1604210848lle_fm] :
          ( !!
          @ ^ [Y1: list_char > paraco1605129243lle_tv] :
              ( ( paraco1325918602e_eval @ Y1 @ Y0 )
              = ( paraco1344940915le_Det @ $true ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_2_valid__def]) ).

thf(zip_derived_cl2383,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl357,zip_derived_cl1,zip_derived_cl0,zip_derived_cl29,zip_derived_cl7,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ITP137^1 : TPTP v9.2.0. Released v7.5.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yk14UKFntp 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 15:29:23 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.58/0.63  % Total configuration time : 828
% 0.58/0.63  % Estimated wc time : 1656
% 0.58/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.73/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.73/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.73/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.73/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.81/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.81/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.81/0.81  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.81/0.82  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.89/1.06  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 24.09/4.63  % Solved by lams/15_e_short1.sh.
% 24.09/4.63  % done 131 iterations in 3.775s
% 24.09/4.63  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 24.09/4.63  % SZS output start Refutation
% See solution above
% 24.09/4.63  
% 24.09/4.63  
% 24.09/4.63  % Terminating...
% 25.03/4.86  % Runner terminated.
% 25.03/4.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------