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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP079^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QcmxjAUyLB true

% Computer : n012.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 04:38:46 PM UTC 2025

% Result   : Theorem 7.98s 1.68s
% Output   : Refutation 7.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   47 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  128 (   6   ~;   7   |;   0   &;  94   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%                                         (   8  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   26 (   8   ^;  18   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_val_type,type,
    set_val: $tType ).

thf(val_type,type,
    val: $tType ).

thf(ord_less_eq_set_val_type,type,
    ord_less_eq_set_val: set_val > set_val > $o ).

thf(scc_type,type,
    scc: set_val ).

thf('#sk687_type',type,
    '#sk687': set_val > set_val > val ).

thf(p_type,type,
    p: set_val ).

thf(member_val_type,type,
    member_val: val > set_val > $o ).

thf(conj_0,conjecture,
    ord_less_eq_set_val @ scc @ p ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ord_less_eq_set_val @ scc @ p ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl359,plain,
    ~ ( ord_less_eq_set_val @ scc @ p ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_2_subsetI,axiom,
    ! [A: set_val,B: set_val] :
      ( ! [X2: val] :
          ( ( member_val @ X2 @ A )
         => ( member_val @ X2 @ B ) )
     => ( ord_less_eq_set_val @ A @ B ) ) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: set_val] :
        ( !!
        @ ^ [Y1: set_val] :
            ( ( !!
              @ ^ [Y2: val] :
                  ( ( member_val @ Y2 @ Y0 )
                 => ( member_val @ Y2 @ Y1 ) ) )
           => ( ord_less_eq_set_val @ Y0 @ Y1 ) ) ) ),
    inference(cnf,[status(esa)],[fact_2_subsetI]) ).

thf(zip_derived_cl520,plain,
    ! [X2: set_val] :
      ( !!
      @ ^ [Y0: set_val] :
          ( ( !!
            @ ^ [Y1: val] :
                ( ( member_val @ Y1 @ X2 )
               => ( member_val @ Y1 @ Y0 ) ) )
         => ( ord_less_eq_set_val @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl521,plain,
    ! [X2: set_val,X4: set_val] :
      ( ( !!
        @ ^ [Y0: val] :
            ( ( member_val @ Y0 @ X2 )
           => ( member_val @ Y0 @ X4 ) ) )
     => ( ord_less_eq_set_val @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl520]) ).

thf(zip_derived_cl522,plain,
    ! [X2: set_val,X4: set_val] :
      ( ~ ( !!
          @ ^ [Y0: val] :
              ( ( member_val @ Y0 @ X2 )
             => ( member_val @ Y0 @ X4 ) ) )
      | ( ord_less_eq_set_val @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl521]) ).

thf(zip_derived_cl523,plain,
    ! [X2: set_val,X4: set_val] :
      ( ~ ( ( member_val @ ( '#sk687' @ X2 @ X4 ) @ X2 )
         => ( member_val @ ( '#sk687' @ X2 @ X4 ) @ X4 ) )
      | ( ord_less_eq_set_val @ X2 @ X4 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl522]) ).

thf(zip_derived_cl524,plain,
    ! [X2: set_val,X4: set_val] :
      ( ( member_val @ ( '#sk687' @ X2 @ X4 ) @ X2 )
      | ( ord_less_eq_set_val @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl523]) ).

thf(fact_0__092_060open_062_092_060And_062x_O_Ax_A_092_060in_062_Ascc_A_092_060Longrightarrow_062_Ax_A_092_060in_062_AP_092_060close_062,axiom,
    ! [X: val] :
      ( ( member_val @ X @ scc )
     => ( member_val @ X @ p ) ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: val] :
        ( ( member_val @ Y0 @ scc )
       => ( member_val @ Y0 @ p ) ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062_092_060And_062x_O_Ax_A_092_060in_062_Ascc_A_092_060Longrightarrow_062_Ax_A_092_060in_062_AP_092_060close_062]) ).

thf(zip_derived_cl367,plain,
    ! [X2: val] :
      ( ( member_val @ X2 @ scc )
     => ( member_val @ X2 @ p ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl368,plain,
    ! [X2: val] :
      ( ~ ( member_val @ X2 @ scc )
      | ( member_val @ X2 @ p ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl367]) ).

thf(zip_derived_cl526,plain,
    ! [X0: set_val] :
      ( ( ord_less_eq_set_val @ scc @ X0 )
      | ( member_val @ ( '#sk687' @ scc @ X0 ) @ p ) ),
    inference('sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl368]) ).

thf(zip_derived_cl525,plain,
    ! [X2: set_val,X4: set_val] :
      ( ~ ( member_val @ ( '#sk687' @ X2 @ X4 ) @ X4 )
      | ( ord_less_eq_set_val @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl523]) ).

thf(zip_derived_cl647,plain,
    ( ( ord_less_eq_set_val @ scc @ p )
    | ( ord_less_eq_set_val @ scc @ p ) ),
    inference('sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl525]) ).

thf(zip_derived_cl664,plain,
    ord_less_eq_set_val @ scc @ p,
    inference(simplify,[status(thm)],[zip_derived_cl647]) ).

thf(zip_derived_cl681,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl664]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP079^1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QcmxjAUyLB true
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 15:26:38 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.61/0.73  % Total configuration time : 828
% 0.61/0.73  % Estimated wc time : 1656
% 0.61/0.73  % Estimated cpu time (8 cpus) : 207.0
% 0.62/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.62/0.82  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.62/0.82  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.62/0.82  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.62/0.82  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.62/0.83  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.63/0.86  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.63/0.87  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.63/0.91  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 7.98/1.68  % Solved by lams/15_e_short1.sh.
% 7.98/1.68  % done 49 iterations in 0.828s
% 7.98/1.68  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.98/1.68  % SZS output start Refutation
% See solution above
% 7.98/1.68  
% 7.98/1.68  
% 7.98/1.68  % Terminating...
% 8.27/1.74  % Runner terminated.
% 8.27/1.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------