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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO256^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sebkozgZgq 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 05:07:07 PM UTC 2025

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   16 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   61 (   4 equ;   0 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  124 (  14   ~;  15   |;   0   &;  72   @)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   4 usr;   4 con; 0-2 aty)
%                                         (  12  !!;   4  ??;   0 @@+;   0 @@-)
%            Number of variables   :   34 (  17   ^;  15   !;   2   ?;  34   :)

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

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

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

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

thf('#sk4_type',type,
    '#sk4': a ).

thf(cTHM121,conjecture,
    ! [Xr: $o > $o,Xp: a > $o,Xq: a > $o] :
    ? [Xh: $o] :
      ( ( Xr @ Xh )
    <=> ( Xr
        @ ! [Xx: a] :
            ( ( Xp @ Xx )
            | ( Xq @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xr: $o > $o,Xp: a > $o,Xq: a > $o] :
      ? [Xh: $o] :
        ( ( Xr @ Xh )
      <=> ( Xr
          @ ! [Xx: a] :
              ( ( Xp @ Xx )
              | ( Xq @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM121]) ).

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

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

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

thf(zip_derived_cl3,plain,
    ~ ( ??
      @ ^ [Y0: $o] :
          ( ( '#sk1' @ Y0 )
        <=> ( '#sk1'
            @ ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk2' @ Y1 )
                  | ( '#sk3' @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $o] :
      ~ ( ( '#sk1' @ X2 )
      <=> ( '#sk1'
          @ ( !!
            @ ^ [Y0: a] :
                ( ( '#sk2' @ Y0 )
                | ( '#sk3' @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $o] :
      ( ( '#sk1' @ X2 )
     != ( '#sk1'
        @ ( !!
          @ ^ [Y0: a] :
              ( ( '#sk2' @ Y0 )
              | ( '#sk3' @ Y0 ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $o] :
      ( ( '#sk1' @ X2 )
     != ( '#sk1'
        @ ( ^ [Y0: a] :
              ( ( '#sk2' @ Y0 )
              | ( '#sk3' @ Y0 ) )
          @ '#sk4' ) ) ),
    inference(quantifier_rw,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $o] :
      ( ( '#sk1' @ X2 )
     != ( '#sk1'
        @ ( ( '#sk2' @ '#sk4' )
          | ( '#sk3' @ '#sk4' ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $o] :
      ( ~ ( '#sk1' @ X2 )
      | ~ ( '#sk1'
          @ ( ( '#sk2' @ '#sk4' )
            | ( '#sk3' @ '#sk4' ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl16,plain,
    ~ ( '#sk1'
      @ ( ( '#sk2' @ '#sk4' )
        | ( '#sk3' @ '#sk4' ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl8_001,plain,
    ! [X2: $o] :
      ( ( '#sk1' @ X2 )
     != ( '#sk1'
        @ ( ( '#sk2' @ '#sk4' )
          | ( '#sk3' @ '#sk4' ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl16_002,plain,
    ~ ( '#sk1'
      @ ( ( '#sk2' @ '#sk4' )
        | ( '#sk3' @ '#sk4' ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl17,plain,
    ! [X2: $o] : ( '#sk1' @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl16]) ).

thf(zip_derived_cl20,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYO256^5 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sebkozgZgq true
% 0.13/0.33  % Computer : n031.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Oct  1 17:49:38 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  % Running portfolio for 300 s
% 0.13/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in HO mode
% 0.54/0.63  % Total configuration time : 828
% 0.54/0.63  % Estimated wc time : 1656
% 0.54/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.75  % Solved by lams/35_full_unif4.sh.
% 0.54/0.75  % done 2 iterations in 0.011s
% 0.54/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.75  % SZS output start Refutation
% See solution above
% 0.54/0.75  
% 0.54/0.75  
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.75  % Terminating...
% 0.62/0.83  % Runner terminated.
% 1.71/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------