%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM645^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HuCknQ9GwT true

% Computer : n025.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 Aug 31 12:43:02 EDT 2023

% Result   : Theorem 25.13s 3.90s
% Output   : Refutation 25.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   27 (   9 unt;   9 typ;   0 def)
%            Number of atoms       :   39 (  13 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  109 (   7   ~;   0   |;   0   &;  77   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   5 con; 0-2 aty)
%                                         (  13  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   26 (  13   ^;  13   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(set_type,type,
    set: $tType ).

thf(y_type,type,
    y: nat ).

thf(setof_type,type,
    setof: ( nat > $o ) > set ).

thf(n_1_type,type,
    n_1: nat ).

thf(esti_type,type,
    esti: nat > set > $o ).

thf(pl_type,type,
    pl: nat > nat > nat ).

thf(suc_type,type,
    suc: nat > nat ).

thf(x_type,type,
    x: nat ).

thf(estie,axiom,
    ! [Xp: nat > $o,Xs: nat] :
      ( ( esti @ Xs @ ( setof @ Xp ) )
     => ( Xp @ Xs ) ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: nat > $o] :
        ( !!
        @ ^ [Y1: nat] :
            ( ( esti @ Y1 @ ( setof @ Y0 ) )
           => ( Y0 @ Y1 ) ) ) ),
    inference(cnf,[status(esa)],[estie]) ).

thf(satz1,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( Xx != Xy )
     => ( ( suc @ Xx )
       != ( suc @ Xy ) ) ) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( ( Y0 != Y1 )
           => ( ( suc @ Y0 )
             != ( suc @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[satz1]) ).

thf(satz4b,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( pl @ Xx @ ( suc @ Xy ) )
      = ( suc @ ( pl @ Xx @ Xy ) ) ) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( ( pl @ Y0 @ ( suc @ Y1 ) )
            = ( suc @ ( pl @ Y0 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[satz4b]) ).

thf(satz7,conjecture,
    ( y
   != ( pl @ x @ y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( y
    = ( pl @ x @ y ) ),
    inference('cnf.neg',[status(esa)],[satz7]) ).

thf(zip_derived_cl7,plain,
    ( y
    = ( pl @ x @ y ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax3,axiom,
    ! [Xx: nat] :
      ( ( suc @ Xx )
     != n_1 ) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( ( suc @ Y0 )
       != n_1 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(estii,axiom,
    ! [Xp: nat > $o,Xs: nat] :
      ( ( Xp @ Xs )
     => ( esti @ Xs @ ( setof @ Xp ) ) ) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: nat > $o] :
        ( !!
        @ ^ [Y1: nat] :
            ( ( Y0 @ Y1 )
           => ( esti @ Y1 @ ( setof @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[estii]) ).

thf(satz4a,axiom,
    ! [Xx: nat] :
      ( ( pl @ Xx @ n_1 )
      = ( suc @ Xx ) ) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( ( pl @ Y0 @ n_1 )
        = ( suc @ Y0 ) ) ),
    inference(cnf,[status(esa)],[satz4a]) ).

thf(ax5,axiom,
    ! [Xs: set] :
      ( ( esti @ n_1 @ Xs )
     => ( ! [Xx: nat] :
            ( ( esti @ Xx @ Xs )
           => ( esti @ ( suc @ Xx ) @ Xs ) )
       => ! [Xx: nat] : ( esti @ Xx @ Xs ) ) ) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: set] :
        ( ( esti @ n_1 @ Y0 )
       => ( ( !!
            @ ^ [Y1: nat] :
                ( ( esti @ Y1 @ Y0 )
               => ( esti @ ( suc @ Y1 ) @ Y0 ) ) )
         => ( !!
            @ ^ [Y1: nat] : ( esti @ Y1 @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl3597,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl5,zip_derived_cl6,zip_derived_cl7,zip_derived_cl3,zip_derived_cl2,zip_derived_cl4,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM645^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HuCknQ9GwT true
% 0.13/0.35  % Computer : n025.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 : Fri Aug 25 16:54:37 EDT 2023
% 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
% 0.13/0.36  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.43/0.80  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.43/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.43/0.81  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 25.13/3.90  % Solved by lams/15_e_short1.sh.
% 25.13/3.90  % done 131 iterations in 3.105s
% 25.13/3.90  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 25.13/3.90  % SZS output start Refutation
% See solution above
% 25.13/3.90  
% 25.13/3.90  
% 25.13/3.90  % Terminating...
% 26.04/4.10  % Runner terminated.
% 26.04/4.12  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------