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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET630^5 : 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.lLdQP2QiXE true

% Computer : n027.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 04:52:30 PM UTC 2025

% Result   : Theorem 0.50s 0.73s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   59 (   0 equ;  17 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  157 (  31   ~;  12   |;  30   &;  78   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   3 usr;   6 con; 0-1 aty)
%                                         (   3  !!;   3  ??;   0 @@+;   0 @@-)
%            Number of variables   :   12 (   6   ^;   4   !;   2   ?;  12   :)

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

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

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

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

thf(cBOOL_PROP_112_pme,conjecture,
    ! [X: a > $o,Y: a > $o] :
      ~ ? [Xx: a] :
          ( ( X @ Xx )
          & ( Y @ Xx )
          & ( ( ( X @ Xx )
              & ~ ( Y @ Xx ) )
            | ( ( Y @ Xx )
              & ~ ( X @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: a > $o,Y: a > $o] :
        ~ ? [Xx: a] :
            ( ( X @ Xx )
            & ( Y @ Xx )
            & ( ( ( X @ Xx )
                & ~ ( Y @ Xx ) )
              | ( ( Y @ Xx )
                & ~ ( X @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cBOOL_PROP_112_pme]) ).

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

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

thf(zip_derived_cl2,plain,
    ( ??
    @ ^ [Y0: a] :
        ( ( '#sk1' @ Y0 )
        & ( '#sk2' @ Y0 )
        & ( ( ( '#sk1' @ Y0 )
            & ( (~) @ ( '#sk2' @ Y0 ) ) )
          | ( ( '#sk2' @ Y0 )
            & ( (~) @ ( '#sk1' @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ( ( '#sk1' @ '#sk3' )
    & ( '#sk2' @ '#sk3' )
    & ( ( ( '#sk1' @ '#sk3' )
        & ( (~) @ ( '#sk2' @ '#sk3' ) ) )
      | ( ( '#sk2' @ '#sk3' )
        & ( (~) @ ( '#sk1' @ '#sk3' ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ( ( ( '#sk1' @ '#sk3' )
      & ( (~) @ ( '#sk2' @ '#sk3' ) ) )
    | ( ( '#sk2' @ '#sk3' )
      & ( (~) @ ( '#sk1' @ '#sk3' ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ( ( ( '#sk1' @ '#sk3' )
      & ( (~) @ ( '#sk2' @ '#sk3' ) ) )
    | ( ( '#sk2' @ '#sk3' )
      & ( (~) @ ( '#sk1' @ '#sk3' ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl9,plain,
    ( ~ ( '#sk2' @ '#sk3' )
    | ( ( '#sk2' @ '#sk3' )
      & ( (~) @ ( '#sk1' @ '#sk3' ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    ( ~ ( '#sk2' @ '#sk3' )
    | ( $true
      & ( (~) @ ( '#sk1' @ '#sk3' ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl13,plain,
    ( ~ ( '#sk2' @ '#sk3' )
    | ( (~) @ ( '#sk1' @ '#sk3' ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl14,plain,
    ( ~ ( '#sk2' @ '#sk3' )
    | ~ ( '#sk1' @ '#sk3' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl5,plain,
    '#sk2' @ '#sk3',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl4,plain,
    '#sk1' @ '#sk3',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl15,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl5,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : SET630^5 : TPTP v9.2.0. Released v4.0.0.
% 0.02/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lLdQP2QiXE true
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 12:58:23 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % 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
% 0.49/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.49/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.72  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.72  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.72  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.72  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.73  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.73  % Solved by lams/35_full_unif4.sh.
% 0.50/0.73  % done 2 iterations in 0.006s
% 0.50/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.73  % SZS output start Refutation
% See solution above
% 0.50/0.73  
% 0.50/0.73  
% 0.50/0.73  % Terminating...
% 0.56/0.82  % Runner terminated.
% 0.56/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------