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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP211_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OuNBGYqYF7 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 04:39:13 PM UTC 2025

% Result   : Theorem 94.28s 14.14s
% Output   : Refutation 94.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   52 (  21 unt;   0 typ;   0 def)
%            Number of atoms       :   88 (  43 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  361 (  31   ~;  26   |;   0   &; 294   @)
%                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :   15 (  14 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;  10 con; 0-2 aty)
%            Number of variables   :   39 (   0   ^;  39   !;   0   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(bool_type,type,
    bool: $tType ).

thf(fun_Pr6001797050664311790t_bool_type,type,
    fun_Pr6001797050664311790t_bool: $tType ).

thf(produc3658429121746597890et_nat_type,type,
    produc3658429121746597890et_nat: $tType ).

thf(fun_se1339536933736954245et_nat_type,type,
    fun_se1339536933736954245et_nat: $tType ).

thf(heap_e7401611519738050253t_unit_type,type,
    heap_e7401611519738050253t_unit: $tType ).

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

thf(fun_Pr3337834798857116037et_nat_type,type,
    fun_Pr3337834798857116037et_nat: $tType ).

thf(fun_as4100195077546555551t_bool_type,type,
    fun_as4100195077546555551t_bool: $tType ).

thf(assn_type,type,
    assn: $tType ).

thf(fun_fu1264473476461866025l_assn_type,type,
    fun_fu1264473476461866025l_assn: $tType ).

thf(fun_se7275083947436752652l_bool_type,type,
    fun_se7275083947436752652l_bool: $tType ).

thf(set_fu6080891106736489294t_bool_type,type,
    set_fu6080891106736489294t_bool: $tType ).

thf(fun_fu5792599895934982715t_bool_type,type,
    fun_fu5792599895934982715t_bool: $tType ).

thf(fun_fu9160419385450930796l_bool_type,type,
    fun_fu9160419385450930796l_bool: $tType ).

thf(aa_Pro2991721470636411351t_bool_type,type,
    aa_Pro2991721470636411351t_bool: fun_Pr6001797050664311790t_bool > produc3658429121746597890et_nat > bool ).

thf(abs_assn_type,type,
    abs_assn: fun_fu1264473476461866025l_assn ).

thf(aa_fun8162393684988594084t_bool_type,type,
    aa_fun8162393684988594084t_bool: fun_fu5792599895934982715t_bool > fun_fu9160419385450930796l_bool > set_fu6080891106736489294t_bool ).

thf(one_assn_raw_type,type,
    one_assn_raw: fun_Pr6001797050664311790t_bool ).

thf(aa_ass8975924923219239432t_bool_type,type,
    aa_ass8975924923219239432t_bool: fun_as4100195077546555551t_bool > assn > fun_Pr6001797050664311790t_bool ).

thf(one_one_assn_type,type,
    one_one_assn: assn ).

thf(sk__17_type,type,
    sk__17: produc3658429121746597890et_nat > set_nat ).

thf(sk__14_type,type,
    sk__14: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

thf(member4125802036136091927t_bool_type,type,
    member4125802036136091927t_bool: fun_Pr6001797050664311790t_bool > fun_se7275083947436752652l_bool ).

thf(rep_assn_type,type,
    rep_assn: fun_as4100195077546555551t_bool ).

thf(bot_bot_set_nat_type,type,
    bot_bot_set_nat: set_nat ).

thf(h_type,type,
    h: produc3658429121746597890et_nat ).

thf(sk__16_type,type,
    sk__16: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

thf(aa_set3226752938961784069l_bool_type,type,
    aa_set3226752938961784069l_bool: fun_se7275083947436752652l_bool > set_fu6080891106736489294t_bool > bool ).

thf(sk__15_type,type,
    sk__15: produc3658429121746597890et_nat > set_nat ).

thf(produc8586169260539613262et_nat_type,type,
    produc8586169260539613262et_nat: fun_Pr3337834798857116037et_nat ).

thf(produc7507926704131184380et_nat_type,type,
    produc7507926704131184380et_nat: heap_e7401611519738050253t_unit > fun_se1339536933736954245et_nat ).

thf(aa_Pro3416150927818442182et_nat_type,type,
    aa_Pro3416150927818442182et_nat: fun_Pr3337834798857116037et_nat > produc3658429121746597890et_nat > set_nat ).

thf(sk__25_type,type,
    sk__25: assn > fun_Pr6001797050664311790t_bool ).

thf(aa_fun5588795374382764133l_bool_type,type,
    aa_fun5588795374382764133l_bool: fun_fu9160419385450930796l_bool > fun_Pr6001797050664311790t_bool > bool ).

thf(collec3007137136614167897t_bool_type,type,
    collec3007137136614167897t_bool: fun_fu5792599895934982715t_bool ).

thf(pp_type,type,
    pp: bool > $o ).

thf(aa_fun1993714536301460826l_assn_type,type,
    aa_fun1993714536301460826l_assn: fun_fu1264473476461866025l_assn > fun_Pr6001797050664311790t_bool > assn ).

thf(aa_set3979848162462698438et_nat_type,type,
    aa_set3979848162462698438et_nat: fun_se1339536933736954245et_nat > set_nat > produc3658429121746597890et_nat ).

thf(proper_type,type,
    proper: fun_fu9160419385450930796l_bool ).

thf(fact_80_one__assn__raw_Oelims_I2_J,axiom,
    ! [X: produc3658429121746597890et_nat] :
      ( ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ X ) )
     => ~ ! [H: heap_e7401611519738050253t_unit,As2: set_nat] :
            ( ( X
              = ( aa_set3979848162462698438et_nat @ ( produc7507926704131184380et_nat @ H ) @ As2 ) )
           => ( As2 != bot_bot_set_nat ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ( X0
        = ( aa_set3979848162462698438et_nat @ ( produc7507926704131184380et_nat @ ( sk__14 @ X0 ) ) @ ( sk__15 @ X0 ) ) )
      | ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_80_one__assn__raw_Oelims_I2_J]) ).

thf(fact_136_sndI,axiom,
    ! [X: produc3658429121746597890et_nat,Y: heap_e7401611519738050253t_unit,Z: set_nat] :
      ( ( X
        = ( aa_set3979848162462698438et_nat @ ( produc7507926704131184380et_nat @ Y ) @ Z ) )
     => ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ X )
        = Z ) ) ).

thf(zip_derived_cl90,plain,
    ! [X0: set_nat,X1: produc3658429121746597890et_nat,X2: heap_e7401611519738050253t_unit] :
      ( ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ X1 )
        = X0 )
      | ( X1
       != ( aa_set3979848162462698438et_nat @ ( produc7507926704131184380et_nat @ X2 ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_136_sndI]) ).

thf(zip_derived_cl4126,plain,
    ! [X0: produc3658429121746597890et_nat,X1: produc3658429121746597890et_nat] :
      ( ( X1 != X0 )
      | ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ X0 ) )
      | ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ X1 )
        = ( sk__15 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl90]) ).

thf(zip_derived_cl4132,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ X0 )
        = ( sk__15 @ X0 ) )
      | ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl4126]) ).

thf(conj_0,conjecture,
    ( ( pp @ ( aa_Pro2991721470636411351t_bool @ ( aa_ass8975924923219239432t_bool @ rep_assn @ ( aa_fun1993714536301460826l_assn @ abs_assn @ one_assn_raw ) ) @ h ) )
  <=> ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ h )
      = bot_bot_set_nat ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( pp @ ( aa_Pro2991721470636411351t_bool @ ( aa_ass8975924923219239432t_bool @ rep_assn @ ( aa_fun1993714536301460826l_assn @ abs_assn @ one_assn_raw ) ) @ h ) )
    <=> ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ h )
        = bot_bot_set_nat ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1539,plain,
    ( ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ h )
     != bot_bot_set_nat )
    | ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ ( aa_ass8975924923219239432t_bool @ rep_assn @ ( aa_fun1993714536301460826l_assn @ abs_assn @ one_assn_raw ) ) @ h ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_76_one__assn__def,axiom,
    ( one_one_assn
    = ( aa_fun1993714536301460826l_assn @ abs_assn @ one_assn_raw ) ) ).

thf(zip_derived_cl32,plain,
    ( one_one_assn
    = ( aa_fun1993714536301460826l_assn @ abs_assn @ one_assn_raw ) ),
    inference(cnf,[status(esa)],[fact_76_one__assn__def]) ).

thf(zip_derived_cl3923,plain,
    ( ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ h )
     != bot_bot_set_nat )
    | ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ ( aa_ass8975924923219239432t_bool @ rep_assn @ one_one_assn ) @ h ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1539,zip_derived_cl32]) ).

thf(zip_derived_cl4141,plain,
    ( ( ( sk__15 @ h )
     != bot_bot_set_nat )
    | ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ h ) )
    | ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ ( aa_ass8975924923219239432t_bool @ rep_assn @ one_one_assn ) @ h ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4132,zip_derived_cl3923]) ).

thf(zip_derived_cl43,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ( ( sk__15 @ X0 )
        = bot_bot_set_nat )
      | ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_80_one__assn__raw_Oelims_I2_J]) ).

thf(zip_derived_cl4159,plain,
    ( ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ ( aa_ass8975924923219239432t_bool @ rep_assn @ one_one_assn ) @ h ) )
    | ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ h ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4141,zip_derived_cl43]) ).

thf(fact_119_Abs__assn__cases,axiom,
    ! [X: assn] :
      ~ ! [Y2: fun_Pr6001797050664311790t_bool] :
          ( ( X
            = ( aa_fun1993714536301460826l_assn @ abs_assn @ Y2 ) )
         => ~ ( pp @ ( aa_set3226752938961784069l_bool @ ( member4125802036136091927t_bool @ Y2 ) @ ( aa_fun8162393684988594084t_bool @ collec3007137136614167897t_bool @ proper ) ) ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: assn] : ( pp @ ( aa_set3226752938961784069l_bool @ ( member4125802036136091927t_bool @ ( sk__25 @ X0 ) ) @ ( aa_fun8162393684988594084t_bool @ collec3007137136614167897t_bool @ proper ) ) ),
    inference(cnf,[status(esa)],[fact_119_Abs__assn__cases]) ).

thf(fact_77_Abs__assn__inverse,axiom,
    ! [Y: fun_Pr6001797050664311790t_bool] :
      ( ( pp @ ( aa_set3226752938961784069l_bool @ ( member4125802036136091927t_bool @ Y ) @ ( aa_fun8162393684988594084t_bool @ collec3007137136614167897t_bool @ proper ) ) )
     => ( ( aa_ass8975924923219239432t_bool @ rep_assn @ ( aa_fun1993714536301460826l_assn @ abs_assn @ Y ) )
        = Y ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: fun_Pr6001797050664311790t_bool] :
      ( ( ( aa_ass8975924923219239432t_bool @ rep_assn @ ( aa_fun1993714536301460826l_assn @ abs_assn @ X0 ) )
        = X0 )
      | ~ ( pp @ ( aa_set3226752938961784069l_bool @ ( member4125802036136091927t_bool @ X0 ) @ ( aa_fun8162393684988594084t_bool @ collec3007137136614167897t_bool @ proper ) ) ) ),
    inference(cnf,[status(esa)],[fact_77_Abs__assn__inverse]) ).

thf(zip_derived_cl4400,plain,
    ! [X0: assn] :
      ( ( aa_ass8975924923219239432t_bool @ rep_assn @ ( aa_fun1993714536301460826l_assn @ abs_assn @ ( sk__25 @ X0 ) ) )
      = ( sk__25 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl33]) ).

thf(zip_derived_cl64,plain,
    ! [X0: assn] :
      ( X0
      = ( aa_fun1993714536301460826l_assn @ abs_assn @ ( sk__25 @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_119_Abs__assn__cases]) ).

thf(zip_derived_cl4408,plain,
    ! [X0: assn] :
      ( ( aa_ass8975924923219239432t_bool @ rep_assn @ X0 )
      = ( sk__25 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4400,zip_derived_cl64]) ).

thf(zip_derived_cl4423,plain,
    ( ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ ( sk__25 @ one_one_assn ) @ h ) )
    | ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ h ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4159,zip_derived_cl4408]) ).

thf(fact_88_one__assn__proper,axiom,
    pp @ ( aa_fun5588795374382764133l_bool @ proper @ one_assn_raw ) ).

thf(zip_derived_cl48,plain,
    pp @ ( aa_fun5588795374382764133l_bool @ proper @ one_assn_raw ),
    inference(cnf,[status(esa)],[fact_88_one__assn__proper]) ).

thf(fact_102_mem__Collect__eq,axiom,
    ! [A2: fun_Pr6001797050664311790t_bool,P: fun_fu9160419385450930796l_bool] :
      ( ( pp @ ( aa_set3226752938961784069l_bool @ ( member4125802036136091927t_bool @ A2 ) @ ( aa_fun8162393684988594084t_bool @ collec3007137136614167897t_bool @ P ) ) )
    <=> ( pp @ ( aa_fun5588795374382764133l_bool @ P @ A2 ) ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: fun_Pr6001797050664311790t_bool,X1: fun_fu9160419385450930796l_bool] :
      ( ( pp @ ( aa_set3226752938961784069l_bool @ ( member4125802036136091927t_bool @ X0 ) @ ( aa_fun8162393684988594084t_bool @ collec3007137136614167897t_bool @ X1 ) ) )
      | ~ ( pp @ ( aa_fun5588795374382764133l_bool @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_102_mem__Collect__eq]) ).

thf(zip_derived_cl4252,plain,
    pp @ ( aa_set3226752938961784069l_bool @ ( member4125802036136091927t_bool @ one_assn_raw ) @ ( aa_fun8162393684988594084t_bool @ collec3007137136614167897t_bool @ proper ) ),
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl59]) ).

thf(zip_derived_cl33_001,plain,
    ! [X0: fun_Pr6001797050664311790t_bool] :
      ( ( ( aa_ass8975924923219239432t_bool @ rep_assn @ ( aa_fun1993714536301460826l_assn @ abs_assn @ X0 ) )
        = X0 )
      | ~ ( pp @ ( aa_set3226752938961784069l_bool @ ( member4125802036136091927t_bool @ X0 ) @ ( aa_fun8162393684988594084t_bool @ collec3007137136614167897t_bool @ proper ) ) ) ),
    inference(cnf,[status(esa)],[fact_77_Abs__assn__inverse]) ).

thf(zip_derived_cl55964,plain,
    ( ( aa_ass8975924923219239432t_bool @ rep_assn @ ( aa_fun1993714536301460826l_assn @ abs_assn @ one_assn_raw ) )
    = one_assn_raw ),
    inference('sup-',[status(thm)],[zip_derived_cl4252,zip_derived_cl33]) ).

thf(zip_derived_cl32_002,plain,
    ( one_one_assn
    = ( aa_fun1993714536301460826l_assn @ abs_assn @ one_assn_raw ) ),
    inference(cnf,[status(esa)],[fact_76_one__assn__def]) ).

thf(zip_derived_cl4408_003,plain,
    ! [X0: assn] :
      ( ( aa_ass8975924923219239432t_bool @ rep_assn @ X0 )
      = ( sk__25 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4400,zip_derived_cl64]) ).

thf(zip_derived_cl55972,plain,
    ( ( sk__25 @ one_one_assn )
    = one_assn_raw ),
    inference(demod,[status(thm)],[zip_derived_cl55964,zip_derived_cl32,zip_derived_cl4408]) ).

thf(zip_derived_cl56055,plain,
    ( ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ h ) )
    | ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ h ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4423,zip_derived_cl55972]) ).

thf(zip_derived_cl56056,plain,
    ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ h ) ),
    inference(simplify,[status(thm)],[zip_derived_cl56055]) ).

thf(zip_derived_cl1538,plain,
    ( ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ h )
      = bot_bot_set_nat )
    | ( pp @ ( aa_Pro2991721470636411351t_bool @ ( aa_ass8975924923219239432t_bool @ rep_assn @ ( aa_fun1993714536301460826l_assn @ abs_assn @ one_assn_raw ) ) @ h ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32_004,plain,
    ( one_one_assn
    = ( aa_fun1993714536301460826l_assn @ abs_assn @ one_assn_raw ) ),
    inference(cnf,[status(esa)],[fact_76_one__assn__def]) ).

thf(zip_derived_cl3924,plain,
    ( ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ h )
      = bot_bot_set_nat )
    | ( pp @ ( aa_Pro2991721470636411351t_bool @ ( aa_ass8975924923219239432t_bool @ rep_assn @ one_one_assn ) @ h ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1538,zip_derived_cl32]) ).

thf(zip_derived_cl4408_005,plain,
    ! [X0: assn] :
      ( ( aa_ass8975924923219239432t_bool @ rep_assn @ X0 )
      = ( sk__25 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4400,zip_derived_cl64]) ).

thf(zip_derived_cl4421,plain,
    ( ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ h )
      = bot_bot_set_nat )
    | ( pp @ ( aa_Pro2991721470636411351t_bool @ ( sk__25 @ one_one_assn ) @ h ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3924,zip_derived_cl4408]) ).

thf(fact_81_one__assn__raw_Oelims_I3_J,axiom,
    ! [X: produc3658429121746597890et_nat] :
      ( ~ ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ X ) )
     => ~ ! [H: heap_e7401611519738050253t_unit,As2: set_nat] :
            ( ( X
              = ( aa_set3979848162462698438et_nat @ ( produc7507926704131184380et_nat @ H ) @ As2 ) )
           => ( As2 = bot_bot_set_nat ) ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ( X0
        = ( aa_set3979848162462698438et_nat @ ( produc7507926704131184380et_nat @ ( sk__16 @ X0 ) ) @ ( sk__17 @ X0 ) ) )
      | ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_81_one__assn__raw_Oelims_I3_J]) ).

thf(fact_146_snd__conv,axiom,
    ! [X1: heap_e7401611519738050253t_unit,X22: set_nat] :
      ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ ( aa_set3979848162462698438et_nat @ ( produc7507926704131184380et_nat @ X1 ) @ X22 ) )
      = X22 ) ).

thf(zip_derived_cl92,plain,
    ! [X0: set_nat,X1: heap_e7401611519738050253t_unit] :
      ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ ( aa_set3979848162462698438et_nat @ ( produc7507926704131184380et_nat @ X1 ) @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[fact_146_snd__conv]) ).

thf(zip_derived_cl4276,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ( ( aa_Pro3416150927818442182et_nat @ produc8586169260539613262et_nat @ X0 )
        = ( sk__17 @ X0 ) )
      | ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl92]) ).

thf(zip_derived_cl4550,plain,
    ( ( bot_bot_set_nat
      = ( sk__17 @ h ) )
    | ( pp @ ( aa_Pro2991721470636411351t_bool @ ( sk__25 @ one_one_assn ) @ h ) )
    | ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ h ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4421,zip_derived_cl4276]) ).

thf(zip_derived_cl45,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ( ( sk__17 @ X0 )
       != bot_bot_set_nat )
      | ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_81_one__assn__raw_Oelims_I3_J]) ).

thf(zip_derived_cl5495,plain,
    ( ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ h ) )
    | ( pp @ ( aa_Pro2991721470636411351t_bool @ ( sk__25 @ one_one_assn ) @ h ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4550,zip_derived_cl45]) ).

thf(zip_derived_cl55972_006,plain,
    ( ( sk__25 @ one_one_assn )
    = one_assn_raw ),
    inference(demod,[status(thm)],[zip_derived_cl55964,zip_derived_cl32,zip_derived_cl4408]) ).

thf(zip_derived_cl56059,plain,
    ( ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ h ) )
    | ( pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ h ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5495,zip_derived_cl55972]) ).

thf(zip_derived_cl56060,plain,
    pp @ ( aa_Pro2991721470636411351t_bool @ one_assn_raw @ h ),
    inference(simplify,[status(thm)],[zip_derived_cl56059]) ).

thf(zip_derived_cl56155,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl56056,zip_derived_cl56060]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : ITP211_1 : TPTP v9.2.0. Released v8.0.0.
% 0.12/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OuNBGYqYF7 true
% 0.15/0.36  % Computer : n012.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Oct  1 15:31:23 EDT 2025
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.55/0.68  % Total configuration time : 435
% 0.55/0.68  % Estimated wc time : 1092
% 0.55/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.81  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 94.28/14.14  % Solved by fo/fo3_bce.sh.
% 94.28/14.14  % BCE start: 1540
% 94.28/14.14  % BCE eliminated: 2
% 94.28/14.14  % PE start: 1538
% 94.28/14.14  logic: eq
% 94.28/14.14  % PE eliminated: -64
% 94.28/14.14  % done 8669 iterations in 13.331s
% 94.28/14.14  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 94.28/14.14  % SZS output start Refutation
% See solution above
% 94.28/14.14  
% 94.28/14.14  
% 94.28/14.14  % Terminating...
% 95.06/14.22  % Runner terminated.
% 95.06/14.23  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------