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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO059^4 : 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.oxf6AA53Lh true

% Computer : n022.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 05:06:20 PM UTC 2025

% Result   : Theorem 0.50s 0.74s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   26 (  21 unt;   0 typ;   0 def)
%            Number of atoms       :   61 (  15 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   68 (  11   ~;   1   |;   0   &;  49   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   39 (  21   ^;  18   !;   0   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(iatom_type,type,
    iatom: ( $i > $o ) > $i > $o ).

thf(ivalid_type,type,
    ivalid: ( $i > $o ) > $o ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(irel_type,type,
    irel: $i > $i > $o ).

thf(mbox_s4_type,type,
    mbox_s4: ( $i > $o ) > $i > $o ).

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

thf(sk__6_type,type,
    sk__6: $i > $i ).

thf(mnot_type,type,
    mnot: ( $i > $o ) > $i > $o ).

thf(inot_type,type,
    inot: ( $i > $o ) > $i > $o ).

thf(refl_axiom,axiom,
    ! [X: $i] : ( irel @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( irel @ X0 @ X0 ),
    inference(cnf,[status(esa)],[refl_axiom]) ).

thf(ivalid,axiom,
    ( ivalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ) ).

thf('0',plain,
    ( ivalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[ivalid]) ).

thf('1',plain,
    ( ivalid
    = ( ^ [V_1: $i > $o] :
        ! [X4: $i] : ( V_1 @ X4 ) ) ),
    define([status(thm)]) ).

thf(inot,axiom,
    ( inot
    = ( ^ [P: $i > $o] : ( mnot @ ( mbox_s4 @ P ) ) ) ) ).

thf(mbox_s4,axiom,
    ( mbox_s4
    = ( ^ [P: $i > $o,X: $i] :
        ! [Y: $i] :
          ( ( irel @ X @ Y )
         => ( P @ Y ) ) ) ) ).

thf('2',plain,
    ( mbox_s4
    = ( ^ [P: $i > $o,X: $i] :
        ! [Y: $i] :
          ( ( irel @ X @ Y )
         => ( P @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).

thf('3',plain,
    ( mbox_s4
    = ( ^ [V_1: $i > $o,V_2: $i] :
        ! [X4: $i] :
          ( ( irel @ V_2 @ X4 )
         => ( V_1 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X: $i > $o,U: $i] :
          ~ ( X @ U ) ) ) ).

thf('4',plain,
    ( mnot
    = ( ^ [X: $i > $o,U: $i] :
          ~ ( X @ U ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

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

thf('6',plain,
    ( inot
    = ( ^ [P: $i > $o] : ( mnot @ ( mbox_s4 @ P ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[inot,'3','5']) ).

thf('7',plain,
    ( inot
    = ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_s4 @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(iatom,axiom,
    ( iatom
    = ( ^ [P: $i > $o] : P ) ) ).

thf('8',plain,
    ( iatom
    = ( ^ [P: $i > $o] : P ) ),
    inference(simplify_rw_rule,[status(thm)],[iatom]) ).

thf('9',plain,
    ( iatom
    = ( ^ [V_1: $i > $o] : V_1 ) ),
    define([status(thm)]) ).

thf(con,conjecture,
    ivalid @ ( inot @ ( inot @ ( iatom @ a ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i] :
      ~ ! [X6: $i] :
          ( ( irel @ X4 @ X6 )
         => ~ ! [X8: $i] :
                ( ( irel @ X6 @ X8 )
               => ( a @ X8 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i] :
        ~ ! [X6: $i] :
            ( ( irel @ X4 @ X6 )
           => ~ ! [X8: $i] :
                  ( ( irel @ X6 @ X8 )
                 => ( a @ X8 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ~ ( a @ ( sk__6 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(axiom1,axiom,
    ivalid @ ( iatom @ a ) ).

thf(zf_stmt_2,axiom,
    ! [X4: $i] : ( a @ X4 ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] : ( a @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ~ ( irel @ sk__5 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : SYO059^4 : TPTP v9.2.0. Released v4.0.0.
% 0.09/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oxf6AA53Lh true
% 0.10/0.31  % Computer : n022.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 17:54:38 EDT 2025
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in HO mode
% 0.44/0.59  % Total configuration time : 828
% 0.44/0.59  % Estimated wc time : 1656
% 0.44/0.59  % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.70  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.74  % Solved by lams/40_c.s.sh.
% 0.50/0.74  % done 3 iterations in 0.014s
% 0.50/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.74  % SZS output start Refutation
% See solution above
% 0.50/0.74  
% 0.50/0.74  
% 0.50/0.74  % Terminating...
% 0.54/0.80  % Runner terminated.
% 1.52/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------