%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP064^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.D5Omva56fU true

% Computer : n031.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 05:21:57 EDT 2023

% Result   : Theorem 6.01s 1.46s
% Output   : Refutation 6.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   36 (  16 unt;  12 typ;   0 def)
%            Number of atoms       :   45 (   5 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  187 (   6   ~;   4   |;   6   &; 160   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   7 con; 0-2 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   34 (  12   ^;  22   !;   0   ?;  34   :)

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

thf(real_type,type,
    real: $tType ).

thf(i_type,type,
    i: nat ).

thf(p_type,type,
    p: nat ).

thf(one_one_nat_type,type,
    one_one_nat: nat ).

thf(plus_plus_nat_type,type,
    plus_plus_nat: nat > nat > nat ).

thf(genClo1015804716orrect_type,type,
    genClo1015804716orrect: nat > real > $o ).

thf(l_type,type,
    l: nat ).

thf(ord_max_real_type,type,
    ord_max_real: real > real > real ).

thf(ord_less_eq_real_type,type,
    ord_less_eq_real: real > real > $o ).

thf(genClo1163638703lle_te_type,type,
    genClo1163638703lle_te: nat > nat > real ).

thf(m_type,type,
    m: nat ).

thf(conj_0,conjecture,
    genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl358,plain,
    ~ ( genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_3_tml__le__tp,axiom,
    ord_less_eq_real @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) ).

thf(zip_derived_cl3,plain,
    ord_less_eq_real @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ),
    inference(cnf,[status(esa)],[fact_3_tml__le__tp]) ).

thf(fact_147_add_Ocommute,axiom,
    ( plus_plus_nat
    = ( ^ [A2: nat,B2: nat] : ( plus_plus_nat @ B2 @ A2 ) ) ) ).

thf(zip_derived_cl147,plain,
    ( plus_plus_nat
    = ( ^ [Y0: nat,Y1: nat] : ( plus_plus_nat @ Y1 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[fact_147_add_Ocommute]) ).

thf(zip_derived_cl1033,plain,
    ! [X1: nat,X2: nat] :
      ( ( plus_plus_nat @ X1 @ X2 )
      = ( ^ [Y0: nat,Y1: nat] : ( plus_plus_nat @ Y1 @ Y0 )
        @ X1
        @ X2 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl147]) ).

thf(zip_derived_cl1035,plain,
    ! [X1: nat,X2: nat] :
      ( ( plus_plus_nat @ X1 @ X2 )
      = ( plus_plus_nat @ X2 @ X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1033]) ).

thf(zip_derived_cl1302,plain,
    ord_less_eq_real @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ one_one_nat @ i ) ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl1035]) ).

thf(fact_1_corr__m,axiom,
    genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) ).

thf(zip_derived_cl1,plain,
    genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ),
    inference(cnf,[status(esa)],[fact_1_corr__m]) ).

thf(zip_derived_cl1035_001,plain,
    ! [X1: nat,X2: nat] :
      ( ( plus_plus_nat @ X1 @ X2 )
      = ( plus_plus_nat @ X2 @ X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1033]) ).

thf(zip_derived_cl1058,plain,
    genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ one_one_nat @ i ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl1035]) ).

thf(fact_0_correct__closed,axiom,
    ! [P: nat,S: real,T: real] :
      ( ( ( genClo1015804716orrect @ P @ T )
        & ( ord_less_eq_real @ S @ T ) )
     => ( genClo1015804716orrect @ P @ S ) ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: real] :
            ( !!
            @ ^ [Y2: real] :
                ( ( ( genClo1015804716orrect @ Y0 @ Y2 )
                  & ( ord_less_eq_real @ Y1 @ Y2 ) )
               => ( genClo1015804716orrect @ Y0 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_0_correct__closed]) ).

thf(zip_derived_cl497,plain,
    ! [X2: nat] :
      ( !!
      @ ^ [Y0: real] :
          ( !!
          @ ^ [Y1: real] :
              ( ( ( genClo1015804716orrect @ X2 @ Y1 )
                & ( ord_less_eq_real @ Y0 @ Y1 ) )
             => ( genClo1015804716orrect @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl498,plain,
    ! [X2: nat,X4: real] :
      ( !!
      @ ^ [Y0: real] :
          ( ( ( genClo1015804716orrect @ X2 @ Y0 )
            & ( ord_less_eq_real @ X4 @ Y0 ) )
         => ( genClo1015804716orrect @ X2 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl497]) ).

thf(zip_derived_cl499,plain,
    ! [X2: nat,X4: real,X6: real] :
      ( ( ( genClo1015804716orrect @ X2 @ X6 )
        & ( ord_less_eq_real @ X4 @ X6 ) )
     => ( genClo1015804716orrect @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl498]) ).

thf(zip_derived_cl500,plain,
    ! [X2: nat,X4: real,X6: real] :
      ( ~ ( ( genClo1015804716orrect @ X2 @ X6 )
          & ( ord_less_eq_real @ X4 @ X6 ) )
      | ( genClo1015804716orrect @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl499]) ).

thf(zip_derived_cl501,plain,
    ! [X2: nat,X4: real,X6: real] :
      ( ~ ( genClo1015804716orrect @ X2 @ X6 )
      | ~ ( ord_less_eq_real @ X4 @ X6 )
      | ( genClo1015804716orrect @ X2 @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl500]) ).

thf(zip_derived_cl1092,plain,
    ! [X0: real] :
      ( ( genClo1015804716orrect @ m @ X0 )
      | ~ ( ord_less_eq_real @ X0 @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ one_one_nat @ i ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1058,zip_derived_cl501]) ).

thf(zip_derived_cl1305,plain,
    genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1302,zip_derived_cl1092]) ).

thf(zip_derived_cl1377,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl1305]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ITP064^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.D5Omva56fU true
% 0.14/0.36  % Computer : n031.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 17:01:09 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in HO mode
% 0.21/0.69  % Total configuration time : 828
% 0.21/0.69  % Estimated wc time : 1656
% 0.21/0.69  % Estimated cpu time (8 cpus) : 207.0
% 1.22/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.22/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.22/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.22/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.22/0.78  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.41/0.79  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.41/0.80  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.41/0.82  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 6.01/1.46  % Solved by lams/15_e_short1.sh.
% 6.01/1.46  % done 50 iterations in 0.652s
% 6.01/1.46  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.01/1.46  % SZS output start Refutation
% See solution above
% 6.01/1.46  
% 6.01/1.46  
% 6.01/1.46  % Terminating...
% 7.36/1.59  % Runner terminated.
% 7.36/1.60  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------