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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU827^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1hh1bebSwu true

% Computer : n006.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 04:56:42 PM UTC 2025

% Result   : Theorem 0.54s 0.80s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   28 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   96 (  11 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  161 (  15   ~;  32   |;  13   &;  96   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   28 (  28   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :   37 (  32   ^;   5   !;   0   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $i > $o ).

thf(sk__1_type,type,
    sk__1: ( $i > $o ) > $o ).

thf(u_type,type,
    u: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(leibeq_type,type,
    leibeq: ( $i > $o ) > ( $i > $o ) > $o ).

thf(n_type,type,
    n: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf(a_type,type,
    a: $i > $o ).

thf(c_type,type,
    c: $i > $o ).

thf(n,axiom,
    ( n
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ( Y @ U ) ) ) ) ).

thf('0',plain,
    ( n
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[n]) ).

thf('1',plain,
    ( n
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
          & ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(u,axiom,
    ( u
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ) ).

thf('2',plain,
    ( u
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[u]) ).

thf('3',plain,
    ( u
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
          | ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(leibeq,axiom,
    ( leibeq
    = ( ^ [X: $i > $o,Y: $i > $o] :
        ! [P: ( $i > $o ) > $o] :
          ( ( P @ X )
         => ( P @ Y ) ) ) ) ).

thf('4',plain,
    ( leibeq
    = ( ^ [X: $i > $o,Y: $i > $o] :
        ! [P: ( $i > $o ) > $o] :
          ( ( P @ X )
         => ( P @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[leibeq]) ).

thf('5',plain,
    ( leibeq
    = ( ^ [V_1: $i > $o,V_2: $i > $o] :
        ! [X4: ( $i > $o ) > $o] :
          ( ( X4 @ V_1 )
         => ( X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(conj,conjecture,
    leibeq @ ( u @ a @ ( n @ b @ c ) ) @ ( n @ ( u @ a @ b ) @ ( u @ a @ c ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: ( $i > $o ) > $o] :
      ( ( X4
        @ ^ [V_1: $i] :
            ( ( ( c @ V_1 )
              & ( b @ V_1 ) )
            | ( a @ V_1 ) ) )
     => ( X4
        @ ^ [V_2: $i] :
            ( ( ( c @ V_2 )
              | ( a @ V_2 ) )
            & ( ( b @ V_2 )
              | ( a @ V_2 ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: ( $i > $o ) > $o] :
        ( ( X4
          @ ^ [V_1: $i] :
              ( ( ( c @ V_1 )
                & ( b @ V_1 ) )
              | ( a @ V_1 ) ) )
       => ( X4
          @ ^ [V_2: $i] :
              ( ( ( c @ V_2 )
                | ( a @ V_2 ) )
              & ( ( b @ V_2 )
                | ( a @ V_2 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ( sk__1
    @ ^ [Y0: $i] :
        ( ( ( c @ Y0 )
          & ( b @ Y0 ) )
        | ( a @ Y0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( sk__1
      @ ^ [Y0: $i] :
          ( ( ( c @ Y0 )
            | ( a @ Y0 ) )
          & ( ( b @ Y0 )
            | ( a @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ( ( ^ [Y0: $i] :
          ( ( ( c @ Y0 )
            & ( b @ Y0 ) )
          | ( a @ Y0 ) ) )
   != ( ^ [Y0: $i] :
          ( ( ( c @ Y0 )
            | ( a @ Y0 ) )
          & ( ( b @ Y0 )
            | ( a @ Y0 ) ) ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ( ( ( ( c @ '#sk1' )
        & ( b @ '#sk1' ) )
      | ( a @ '#sk1' ) )
   != ( ( ( c @ '#sk1' )
        | ( a @ '#sk1' ) )
      & ( ( b @ '#sk1' )
        | ( a @ '#sk1' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl24,plain,
    ( ~ ( c @ '#sk1' )
    | ~ ( b @ '#sk1' )
    | ~ ( b @ '#sk1' )
    | ~ ( c @ '#sk1' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl36,plain,
    ( ~ ( b @ '#sk1' )
    | ~ ( c @ '#sk1' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl17,plain,
    ( ( b @ '#sk1' )
    | ( a @ '#sk1' )
    | ( b @ '#sk1' )
    | ( a @ '#sk1' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl29,plain,
    ( ( a @ '#sk1' )
    | ( b @ '#sk1' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl23,plain,
    ( ~ ( a @ '#sk1' )
    | ~ ( a @ '#sk1' )
    | ~ ( a @ '#sk1' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl35,plain,
    ~ ( a @ '#sk1' ),
    inference(simplify,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl41,plain,
    b @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl35]) ).

thf(zip_derived_cl18,plain,
    ( ( c @ '#sk1' )
    | ( a @ '#sk1' )
    | ( c @ '#sk1' )
    | ( a @ '#sk1' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl30,plain,
    ( ( a @ '#sk1' )
    | ( c @ '#sk1' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_001,plain,
    ~ ( a @ '#sk1' ),
    inference(simplify,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl42,plain,
    c @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl35]) ).

thf(zip_derived_cl44,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl41,zip_derived_cl42]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : SEU827^1 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1hh1bebSwu true
% 0.14/0.37  % Computer : n006.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Wed Oct  1 16:09:08 EDT 2025
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  % Running portfolio for 300 s
% 0.14/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  % Number of cores: 8
% 0.14/0.38  % Python version: Python 3.6.8
% 0.14/0.38  % Running in HO mode
% 0.54/0.69  % Total configuration time : 828
% 0.54/0.69  % Estimated wc time : 1656
% 0.54/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.80  % Solved by lams/40_c.s.sh.
% 0.54/0.80  % done 10 iterations in 0.018s
% 0.54/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.80  % SZS output start Refutation
% See solution above
% 0.54/0.80  
% 0.54/0.80  
% 0.54/0.80  % Terminating...
% 0.61/0.87  % Runner terminated.
% 1.91/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------