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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO261^5 : 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.jx7DjMgsrk true

% Computer : n015.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 0.51s 0.76s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   26 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   56 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  215 (  17   ~;  14   |;  15   &; 133   @)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-1 aty)
%                                         (  12  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   38 (  24   ^;  14   !;   0   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n_type,type,
    n: $i ).

thf(c1_plus_type,type,
    c1_plus: $i > $i ).

thf(cO_type,type,
    cO: $i ).

thf(cP_type,type,
    cP: $i > $o ).

thf('#sk7_type',type,
    '#sk7': ( $i > $o ) > $i ).

thf(cBLEDSOE_FENG_SV_I1,conjecture,
    ( ( ! [Xx: $i] :
          ( ( cP @ Xx )
         => ( cP @ ( c1_plus @ Xx ) ) )
      & ( cP @ cO )
      & ! [A: $i > $o] :
          ( ( ! [Xx: $i] :
                ( ( A @ Xx )
               => ( A @ ( c1_plus @ Xx ) ) )
            & ( A @ cO ) )
         => ( A @ n ) ) )
   => ( cP @ n ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: $i] :
            ( ( cP @ Xx )
           => ( cP @ ( c1_plus @ Xx ) ) )
        & ( cP @ cO )
        & ! [A: $i > $o] :
            ( ( ! [Xx: $i] :
                  ( ( A @ Xx )
                 => ( A @ ( c1_plus @ Xx ) ) )
              & ( A @ cO ) )
           => ( A @ n ) ) )
     => ( cP @ n ) ),
    inference('cnf.neg',[status(esa)],[cBLEDSOE_FENG_SV_I1]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( !!
          @ ^ [Y0: $i] :
              ( ( cP @ Y0 )
             => ( cP @ ( c1_plus @ Y0 ) ) ) )
        & ( cP @ cO )
        & ( !!
          @ ^ [Y0: $i > $o] :
              ( ( ( !!
                  @ ^ [Y1: $i] :
                      ( ( Y0 @ Y1 )
                     => ( Y0 @ ( c1_plus @ Y1 ) ) ) )
                & ( Y0 @ cO ) )
             => ( Y0 @ n ) ) ) )
     => ( cP @ n ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( ( cP @ Y0 )
         => ( cP @ ( c1_plus @ Y0 ) ) ) )
    & ( cP @ cO )
    & ( !!
      @ ^ [Y0: $i > $o] :
          ( ( ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                 => ( Y0 @ ( c1_plus @ Y1 ) ) ) )
            & ( Y0 @ cO ) )
         => ( Y0 @ n ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( cP @ Y0 )
       => ( cP @ ( c1_plus @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ( ( cP @ X2 )
     => ( cP @ ( c1_plus @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ~ ( cP @ X2 )
      | ( cP @ ( c1_plus @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl4,plain,
    cP @ cO,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: $i > $o] :
        ( ( ( !!
            @ ^ [Y1: $i] :
                ( ( Y0 @ Y1 )
               => ( Y0 @ ( c1_plus @ Y1 ) ) ) )
          & ( Y0 @ cO ) )
       => ( Y0 @ n ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i > $o] :
      ( ( ( !!
          @ ^ [Y0: $i] :
              ( ( X2 @ Y0 )
             => ( X2 @ ( c1_plus @ Y0 ) ) ) )
        & ( X2 @ cO ) )
     => ( X2 @ n ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i > $o] :
      ( ~ ( ( !!
            @ ^ [Y0: $i] :
                ( ( X2 @ Y0 )
               => ( X2 @ ( c1_plus @ Y0 ) ) ) )
          & ( X2 @ cO ) )
      | ( X2 @ n ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i > $o] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( X2 @ Y0 )
             => ( X2 @ ( c1_plus @ Y0 ) ) ) )
      | ~ ( X2 @ cO )
      | ( X2 @ n ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i > $o] :
      ( ~ ( ( X2 @ ( '#sk7' @ X2 ) )
         => ( X2 @ ( c1_plus @ ( '#sk7' @ X2 ) ) ) )
      | ( X2 @ n )
      | ~ ( X2 @ cO ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i > $o] :
      ( ~ ( X2 @ ( c1_plus @ ( '#sk7' @ X2 ) ) )
      | ~ ( X2 @ cO )
      | ( X2 @ n ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl14,plain,
    ( ( ^ [Y0: $i] :
          ( cP
          @ ( ^ [Y1: $i] : Y1
            @ Y0 ) )
      @ n )
    | ~ ( ^ [Y0: $i] :
            ( cP
            @ ( ^ [Y1: $i] : Y1
              @ Y0 ) )
        @ ( c1_plus
          @ ( '#sk7'
            @ ^ [Y0: $i] :
                ( cP
                @ ( ^ [Y1: $i] : Y1
                  @ Y0 ) ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl13]) ).

thf(zip_derived_cl19,plain,
    ( ( cP @ n )
    | ~ ( cP @ ( c1_plus @ ( '#sk7' @ cP ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl2,plain,
    ~ ( cP @ n ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl20,plain,
    ~ ( cP @ ( c1_plus @ ( '#sk7' @ cP ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl2]) ).

thf(zip_derived_cl32,plain,
    ~ ( cP @ ( '#sk7' @ cP ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl20]) ).

thf(zip_derived_cl4_001,plain,
    cP @ cO,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ ( '#sk7' @ X2 ) )
      | ~ ( X2 @ cO )
      | ( X2 @ n ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl23,plain,
    ( ( ^ [Y0: $i] :
          ( cP
          @ ( ^ [Y1: $i] : Y1
            @ Y0 ) )
      @ n )
    | ( ^ [Y0: $i] :
          ( cP
          @ ( ^ [Y1: $i] : Y1
            @ Y0 ) )
      @ ( '#sk7'
        @ ^ [Y0: $i] :
            ( cP
            @ ( ^ [Y1: $i] : Y1
              @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).

thf(zip_derived_cl26,plain,
    ( ( cP @ n )
    | ( cP @ ( '#sk7' @ cP ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl2_002,plain,
    ~ ( cP @ n ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl27,plain,
    cP @ ( '#sk7' @ cP ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl2]) ).

thf(zip_derived_cl34,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl27]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYO261^5 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jx7DjMgsrk true
% 0.13/0.35  % Computer : n015.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 18:01:23 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
% 0.20/0.36  % 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
% 0.50/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.70  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 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/15_e_short1.sh running for 30s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.76  % Solved by lams/20_acsne_simpl.sh.
% 0.51/0.76  % done 8 iterations in 0.025s
% 0.51/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.76  % SZS output start Refutation
% See solution above
% 0.51/0.76  
% 0.51/0.76  
% 0.51/0.76  % Terminating...
% 0.51/0.82  % Runner terminated.
% 1.79/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------