TSTP Solution File: ITP223_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP223_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dpP44auGwq true

% Computer : n009.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 05:23:12 EDT 2023

% Result   : Theorem 238.57s 34.84s
% Output   : Refutation 238.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   68
% Syntax   : Number of formulae    :   90 (  21 unt;  60 typ;   0 def)
%            Number of atoms       :   39 (  38 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  444 (  15   ~;   7   |;   0   &; 420   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :   23 (  23 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   39 (  37 usr;  19 con; 0-3 aty)
%            Number of variables   :   27 (   0   ^;  27   !;   0   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(int_type,type,
    int: $tType ).

thf(fun_nat_int_type,type,
    fun_nat_int: $tType ).

thf(nat_type,type,
    nat: $tType ).

thf(fun_nat_nat_type,type,
    fun_nat_nat: $tType ).

thf(fun_nat_fun_nat_nat_type,type,
    fun_nat_fun_nat_nat: $tType ).

thf(fun_int_int_type,type,
    fun_int_int: $tType ).

thf(fun_int_fun_int_int_type,type,
    fun_int_fun_int_int: $tType ).

thf(set_nat_type,type,
    set_nat: $tType ).

thf(fun_VEBT_VEBT_nat_type,type,
    fun_VEBT_VEBT_nat: $tType ).

thf(set_VEBT_VEBT_type,type,
    set_VEBT_VEBT: $tType ).

thf(fun_se8977052110697326915T_VEBT_type,type,
    fun_se8977052110697326915T_VEBT: $tType ).

thf(vEBT_VEBT_type,type,
    vEBT_VEBT: $tType ).

thf(list_VEBT_VEBT_type,type,
    list_VEBT_VEBT: $tType ).

thf(fun_real_int_type,type,
    fun_real_int: $tType ).

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

thf(fun_real_real_type,type,
    fun_real_real: $tType ).

thf(fun_re7681423839302404990l_real_type,type,
    fun_re7681423839302404990l_real: $tType ).

thf(fun_num_real_type,type,
    fun_num_real: $tType ).

thf(num_type,type,
    num: $tType ).

thf(fun_num_num_type,type,
    fun_num_num: $tType ).

thf(fun_nat_real_type,type,
    fun_nat_real: $tType ).

thf(fun_VE3165209603783583043T_VEBT_type,type,
    fun_VE3165209603783583043T_VEBT: $tType ).

thf(option4927543243414619207at_nat_type,type,
    option4927543243414619207at_nat: $tType ).

thf(m_type,type,
    m: nat ).

thf(aa_int_int_type,type,
    aa_int_int: fun_int_int > int > int ).

thf(aa_set3061394203342972348T_VEBT_type,type,
    aa_set3061394203342972348T_VEBT: fun_se8977052110697326915T_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).

thf(aa_num_real_type,type,
    aa_num_real: fun_num_real > num > real ).

thf(insert_VEBT_VEBT_type,type,
    insert_VEBT_VEBT: vEBT_VEBT > fun_se8977052110697326915T_VEBT ).

thf(one_one_int_type,type,
    one_one_int: int ).

thf(aa_nat_nat_type,type,
    aa_nat_nat: fun_nat_nat > nat > nat ).

thf(deg_type,type,
    deg: nat ).

thf(set_VEBT_VEBT2_type,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

thf(treeList_type,type,
    treeList: list_VEBT_VEBT ).

thf(one_one_nat_type,type,
    one_one_nat: nat ).

thf(aa_real_real_type,type,
    aa_real_real: fun_real_real > real > real ).

thf(plus_plus_nat_type,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

thf(bit0_type,type,
    bit0: fun_num_num ).

thf(vEBT_Node_type,type,
    vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > fun_VE3165209603783583043T_VEBT ).

thf(aa_VEBT_VEBT_nat_type,type,
    aa_VEBT_VEBT_nat: fun_VEBT_VEBT_nat > vEBT_VEBT > nat ).

thf(none_P5556105721700978146at_nat_type,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

thf(aa_nat_int_type,type,
    aa_nat_int: fun_nat_int > nat > int ).

thf(plus_plus_int_type,type,
    plus_plus_int: fun_int_fun_int_int ).

thf(aa_real_int_type,type,
    aa_real_int: fun_real_int > real > int ).

thf(aa_VEB5832953974749077948T_VEBT_type,type,
    aa_VEB5832953974749077948T_VEBT: fun_VE3165209603783583043T_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(suc_type,type,
    suc: fun_nat_nat ).

thf(aa_rea7340605660300375871l_real_type,type,
    aa_rea7340605660300375871l_real: fun_re7681423839302404990l_real > real > fun_real_real ).

thf(log_type,type,
    log: fun_re7681423839302404990l_real ).

thf(archim7802044766580827645g_real_type,type,
    archim7802044766580827645g_real: fun_real_int ).

thf(aa_nat_fun_nat_nat_type,type,
    aa_nat_fun_nat_nat: fun_nat_fun_nat_nat > nat > fun_nat_nat ).

thf(aa_int_fun_int_int_type,type,
    aa_int_fun_int_int: fun_int_fun_int_int > int > fun_int_int ).

thf(one_type,type,
    one: num ).

thf(semiri5074537144036343181t_real_type,type,
    semiri5074537144036343181t_real: fun_nat_real ).

thf(numeral_numeral_real_type,type,
    numeral_numeral_real: fun_num_real ).

thf(vEBT_VEBT_height_type,type,
    vEBT_VEBT_height: fun_VEBT_VEBT_nat ).

thf(aa_nat_real_type,type,
    aa_nat_real: fun_nat_real > nat > real ).

thf(image_VEBT_VEBT_nat_type,type,
    image_VEBT_VEBT_nat: fun_VEBT_VEBT_nat > set_VEBT_VEBT > set_nat ).

thf(lattic8265883725875713057ax_nat_type,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

thf(aa_num_num_type,type,
    aa_num_num: fun_num_num > num > num ).

thf(summary_type,type,
    summary: vEBT_VEBT ).

thf(semiri1314217659103216013at_int_type,type,
    semiri1314217659103216013at_int: fun_nat_int ).

thf(fact_69_of__nat__eq__1__iff,axiom,
    ! [N: nat] :
      ( ( ( aa_nat_int @ semiri1314217659103216013at_int @ N )
        = one_one_int )
    <=> ( N = one_one_nat ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: nat] :
      ( ( ( aa_nat_int @ semiri1314217659103216013at_int @ X0 )
        = one_one_int )
      | ( X0 != one_one_nat ) ),
    inference(cnf,[status(esa)],[fact_69_of__nat__eq__1__iff]) ).

thf(fact_43_of__nat__add,axiom,
    ! [M: nat,N: nat] :
      ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ M ) @ N ) )
      = ( aa_int_int @ ( aa_int_fun_int_int @ plus_plus_int @ ( aa_nat_int @ semiri1314217659103216013at_int @ M ) ) @ ( aa_nat_int @ semiri1314217659103216013at_int @ N ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: nat,X1: nat] :
      ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ X0 ) @ X1 ) )
      = ( aa_int_int @ ( aa_int_fun_int_int @ plus_plus_int @ ( aa_nat_int @ semiri1314217659103216013at_int @ X0 ) ) @ ( aa_nat_int @ semiri1314217659103216013at_int @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_43_of__nat__add]) ).

thf(zip_derived_cl1847,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ X1 ) @ X0 ) )
        = ( aa_int_int @ ( aa_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( aa_nat_int @ semiri1314217659103216013at_int @ X0 ) ) )
      | ( X1 != one_one_nat ) ),
    inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl20]) ).

thf(fact_195_of__nat__Suc,axiom,
    ! [M: nat] :
      ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ suc @ M ) )
      = ( aa_int_int @ ( aa_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( aa_nat_int @ semiri1314217659103216013at_int @ M ) ) ) ).

thf(zip_derived_cl70,plain,
    ! [X0: nat] :
      ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ suc @ X0 ) )
      = ( aa_int_int @ ( aa_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( aa_nat_int @ semiri1314217659103216013at_int @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_195_of__nat__Suc]) ).

thf(zip_derived_cl190420,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ X1 ) @ X0 ) )
        = ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ suc @ X0 ) ) )
      | ( X1 != one_one_nat ) ),
    inference(demod,[status(thm)],[zip_derived_cl1847,zip_derived_cl70]) ).

thf(fact_2__C3_C,axiom,
    ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( lattic8265883725875713057ax_nat @ ( image_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_set3061394203342972348T_VEBT @ ( insert_VEBT_VEBT @ summary ) @ ( set_VEBT_VEBT2 @ treeList ) ) ) ) )
    = ( aa_real_int @ archim7802044766580827645g_real @ ( aa_real_real @ ( aa_rea7340605660300375871l_real @ log @ ( aa_num_real @ numeral_numeral_real @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_real @ semiri5074537144036343181t_real @ m ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( lattic8265883725875713057ax_nat @ ( image_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_set3061394203342972348T_VEBT @ ( insert_VEBT_VEBT @ summary ) @ ( set_VEBT_VEBT2 @ treeList ) ) ) ) )
    = ( aa_real_int @ archim7802044766580827645g_real @ ( aa_real_real @ ( aa_rea7340605660300375871l_real @ log @ ( aa_num_real @ numeral_numeral_real @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_real @ semiri5074537144036343181t_real @ m ) ) ) ),
    inference(cnf,[status(esa)],[fact_2__C3_C]) ).

thf(fact_0__C3_OIH_C_I2_J,axiom,
    ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) )
    = ( aa_real_int @ archim7802044766580827645g_real @ ( aa_real_real @ ( aa_rea7340605660300375871l_real @ log @ ( aa_num_real @ numeral_numeral_real @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_real @ semiri5074537144036343181t_real @ m ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) )
    = ( aa_real_int @ archim7802044766580827645g_real @ ( aa_real_real @ ( aa_rea7340605660300375871l_real @ log @ ( aa_num_real @ numeral_numeral_real @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_real @ semiri5074537144036343181t_real @ m ) ) ) ),
    inference(cnf,[status(esa)],[fact_0__C3_OIH_C_I2_J]) ).

thf(zip_derived_cl1108,plain,
    ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( lattic8265883725875713057ax_nat @ ( image_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_set3061394203342972348T_VEBT @ ( insert_VEBT_VEBT @ summary ) @ ( set_VEBT_VEBT2 @ treeList ) ) ) ) )
    = ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(fact_59_of__nat__eq__iff,axiom,
    ! [M: nat,N: nat] :
      ( ( ( aa_nat_int @ semiri1314217659103216013at_int @ M )
        = ( aa_nat_int @ semiri1314217659103216013at_int @ N ) )
    <=> ( M = N ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: nat,X1: nat] :
      ( ( X1 = X0 )
      | ( ( aa_nat_int @ semiri1314217659103216013at_int @ X1 )
       != ( aa_nat_int @ semiri1314217659103216013at_int @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_59_of__nat__eq__iff]) ).

thf(zip_derived_cl1206,plain,
    ! [X0: nat] :
      ( ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) )
       != ( aa_nat_int @ semiri1314217659103216013at_int @ X0 ) )
      | ( ( lattic8265883725875713057ax_nat @ ( image_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_set3061394203342972348T_VEBT @ ( insert_VEBT_VEBT @ summary ) @ ( set_VEBT_VEBT2 @ treeList ) ) ) )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1108,zip_derived_cl28]) ).

thf(conj_0,conjecture,
    ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_VEB5832953974749077948T_VEBT @ ( vEBT_Node @ none_P5556105721700978146at_nat @ deg @ treeList ) @ summary ) ) )
    = ( aa_int_int @ ( aa_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( aa_real_int @ archim7802044766580827645g_real @ ( aa_real_real @ ( aa_rea7340605660300375871l_real @ log @ ( aa_num_real @ numeral_numeral_real @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_real @ semiri5074537144036343181t_real @ m ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_VEB5832953974749077948T_VEBT @ ( vEBT_Node @ none_P5556105721700978146at_nat @ deg @ treeList ) @ summary ) ) )
   != ( aa_int_int @ ( aa_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( aa_real_int @ archim7802044766580827645g_real @ ( aa_real_real @ ( aa_rea7340605660300375871l_real @ log @ ( aa_num_real @ numeral_numeral_real @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_real @ semiri5074537144036343181t_real @ m ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1079,plain,
    ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_VEB5832953974749077948T_VEBT @ ( vEBT_Node @ none_P5556105721700978146at_nat @ deg @ treeList ) @ summary ) ) )
   != ( aa_int_int @ ( aa_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( aa_real_int @ archim7802044766580827645g_real @ ( aa_real_real @ ( aa_rea7340605660300375871l_real @ log @ ( aa_num_real @ numeral_numeral_real @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_real @ semiri5074537144036343181t_real @ m ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_001,plain,
    ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) )
    = ( aa_real_int @ archim7802044766580827645g_real @ ( aa_real_real @ ( aa_rea7340605660300375871l_real @ log @ ( aa_num_real @ numeral_numeral_real @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_real @ semiri5074537144036343181t_real @ m ) ) ) ),
    inference(cnf,[status(esa)],[fact_0__C3_OIH_C_I2_J]) ).

thf(zip_derived_cl1641,plain,
    ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_VEB5832953974749077948T_VEBT @ ( vEBT_Node @ none_P5556105721700978146at_nat @ deg @ treeList ) @ summary ) ) )
   != ( aa_int_int @ ( aa_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1079,zip_derived_cl0]) ).

thf(fact_90_VEBT__internal_Oheight_Osimps_I2_J,axiom,
    ! [Uu: option4927543243414619207at_nat,Deg: nat,TreeList: list_VEBT_VEBT,Summary: vEBT_VEBT] :
      ( ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_VEB5832953974749077948T_VEBT @ ( vEBT_Node @ Uu @ Deg @ TreeList ) @ Summary ) )
      = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ one_one_nat ) @ ( lattic8265883725875713057ax_nat @ ( image_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_set3061394203342972348T_VEBT @ ( insert_VEBT_VEBT @ Summary ) @ ( set_VEBT_VEBT2 @ TreeList ) ) ) ) ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: vEBT_VEBT,X1: list_VEBT_VEBT,X2: option4927543243414619207at_nat,X3: nat] :
      ( ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_VEB5832953974749077948T_VEBT @ ( vEBT_Node @ X2 @ X3 @ X1 ) @ X0 ) )
      = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ one_one_nat ) @ ( lattic8265883725875713057ax_nat @ ( image_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_set3061394203342972348T_VEBT @ ( insert_VEBT_VEBT @ X0 ) @ ( set_VEBT_VEBT2 @ X1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_90_VEBT__internal_Oheight_Osimps_I2_J]) ).

thf(zip_derived_cl2678,plain,
    ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ one_one_nat ) @ ( lattic8265883725875713057ax_nat @ ( image_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_set3061394203342972348T_VEBT @ ( insert_VEBT_VEBT @ summary ) @ ( set_VEBT_VEBT2 @ treeList ) ) ) ) ) )
   != ( aa_int_int @ ( aa_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1641,zip_derived_cl43]) ).

thf(zip_derived_cl70_002,plain,
    ! [X0: nat] :
      ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ suc @ X0 ) )
      = ( aa_int_int @ ( aa_int_fun_int_int @ plus_plus_int @ one_one_int ) @ ( aa_nat_int @ semiri1314217659103216013at_int @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_195_of__nat__Suc]) ).

thf(zip_derived_cl4594,plain,
    ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ one_one_nat ) @ ( lattic8265883725875713057ax_nat @ ( image_VEBT_VEBT_nat @ vEBT_VEBT_height @ ( aa_set3061394203342972348T_VEBT @ ( insert_VEBT_VEBT @ summary ) @ ( set_VEBT_VEBT2 @ treeList ) ) ) ) ) )
   != ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ suc @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2678,zip_derived_cl70]) ).

thf(zip_derived_cl154270,plain,
    ! [X0: nat] :
      ( ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ one_one_nat ) @ X0 ) )
       != ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ suc @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) ) ) )
      | ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) )
       != ( aa_nat_int @ semiri1314217659103216013at_int @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1206,zip_derived_cl4594]) ).

thf(zip_derived_cl154730,plain,
    ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ one_one_nat ) @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) ) )
   != ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ suc @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl154270]) ).

thf(zip_derived_cl190628,plain,
    ( ( ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ suc @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) ) )
     != ( aa_nat_int @ semiri1314217659103216013at_int @ ( aa_nat_nat @ suc @ ( aa_VEBT_VEBT_nat @ vEBT_VEBT_height @ summary ) ) ) )
    | ( one_one_nat != one_one_nat ) ),
    inference('sup-',[status(thm)],[zip_derived_cl190420,zip_derived_cl154730]) ).

thf(zip_derived_cl190711,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl190628]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ITP223_1 : TPTP v8.1.2. Released v8.0.0.
% 0.10/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dpP44auGwq true
% 0.13/0.35  % Computer : n009.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 : Sun Aug 27 12:27:05 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.54/0.66  % Total configuration time : 435
% 0.54/0.66  % Estimated wc time : 1092
% 0.54/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 238.57/34.84  % Solved by fo/fo4.sh.
% 238.57/34.84  % done 22186 iterations in 34.063s
% 238.57/34.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 238.57/34.84  % SZS output start Refutation
% See solution above
% 238.57/34.84  
% 238.57/34.84  
% 238.57/34.84  % Terminating...
% 239.29/34.92  % Runner terminated.
% 239.29/34.93  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------