%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM712^1 : 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.CsjsjyN7Bj true

% Computer : n002.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 12:43:41 EDT 2023

% Result   : Theorem 68.93s 9.37s
% Output   : Refutation 68.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   27 (   9 unt;  11 typ;   0 def)
%            Number of atoms       :   35 (   9 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  134 (   2   ~;   0   |;   0   &; 109   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   6 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(ts_type,type,
    ts: nat > nat > nat ).

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

thf(y_type,type,
    y: nat ).

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

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

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

thf(z_type,type,
    z: nat ).

thf(n_1_type,type,
    n_1: nat ).

thf(x_type,type,
    x: nat ).

thf(satz28b,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( ts @ Xx @ ( suc @ Xy ) )
      = ( pl @ ( ts @ Xx @ Xy ) @ Xx ) ) ).

thf(zip_derived_cl7,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( ( ts @ Y0 @ ( suc @ Y1 ) )
            = ( pl @ ( ts @ Y0 @ Y1 ) @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[satz28b]) ).

thf(satz30,axiom,
    ! [Xx: nat,Xy: nat,Xz: nat] :
      ( ( ts @ Xx @ ( pl @ Xy @ Xz ) )
      = ( pl @ ( ts @ Xx @ Xy ) @ ( ts @ Xx @ Xz ) ) ) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( !!
            @ ^ [Y2: nat] :
                ( ( ts @ Y0 @ ( pl @ Y1 @ Y2 ) )
                = ( pl @ ( ts @ Y0 @ Y1 ) @ ( ts @ Y0 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[satz30]) ).

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(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(satz28e,axiom,
    ! [Xx: nat] :
      ( Xx
      = ( ts @ Xx @ n_1 ) ) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( Y0
        = ( ts @ Y0 @ n_1 ) ) ),
    inference(cnf,[status(esa)],[satz28e]) ).

thf(satz31,conjecture,
    ( ( ts @ ( ts @ x @ y ) @ z )
    = ( ts @ x @ ( ts @ y @ z ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ts @ ( ts @ x @ y ) @ z )
   != ( ts @ x @ ( ts @ y @ z ) ) ),
    inference('cnf.neg',[status(esa)],[satz31]) ).

thf(zip_derived_cl8,plain,
    ( ( ts @ ( ts @ x @ y ) @ z )
   != ( ts @ x @ ( ts @ y @ z ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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(zip_derived_cl4133,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl7,zip_derived_cl6,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3,zip_derived_cl8,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM712^1 : TPTP v8.1.2. Released v3.7.0.
% 0.10/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CsjsjyN7Bj true
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Aug 25 08:16:32 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in HO mode
% 0.19/0.65  % Total configuration time : 828
% 0.19/0.65  % Estimated wc time : 1656
% 0.19/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.70  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 68.93/9.37  % Solved by lams/15_e_short1.sh.
% 68.93/9.37  % done 66 iterations in 8.601s
% 68.93/9.37  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 68.93/9.37  % SZS output start Refutation
% See solution above
% 68.93/9.37  
% 68.93/9.37  
% 68.93/9.37  % Terminating...
% 68.93/9.47  % Runner terminated.
% 68.93/9.48  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------