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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP015^1 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.s7yHmtztfh true

% Computer : n016.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 04:38:22 PM UTC 2025

% Result   : Theorem 4.97s 1.23s
% Output   : Refutation 4.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :   49 (  23 equ;   0 cnn)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  443 (  11   ~;   5   |;   4   &; 418   @)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;   8 con; 0-3 aty)
%            Number of variables   :   35 (   0   ^;  35   !;   0   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(du_type,type,
    du: $tType ).

thf(d_type,type,
    d: $tType ).

thf(u_type,type,
    u: $tType ).

thf(mono_2Etyop_2Einteger_2Eint_type,type,
    mono_2Etyop_2Einteger_2Eint: $tType ).

thf(mono_2Etyop_2Enum_2Enum_type,type,
    mono_2Etyop_2Enum_2Enum: $tType ).

thf(sk__1_type,type,
    sk__1: d ).

thf(s_type,type,
    s: d > u > du ).

thf(tyop_2Emin_2Ebool_type,type,
    tyop_2Emin_2Ebool: d ).

thf(i_mono_2Etyop_2Enum_2Enum_type,type,
    i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).

thf(tyop_2Efcp_2Ecart_type,type,
    tyop_2Efcp_2Ecart: d > d > d ).

thf(tyop_2Einteger_2Eint_type,type,
    tyop_2Einteger_2Eint: d ).

thf(mono_2Ec_2Einteger_2Eint__of__num_type,type,
    mono_2Ec_2Einteger_2Eint__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ).

thf(c_2Ebool_2ECOND_2E3_type,type,
    c_2Ebool_2ECOND_2E3: du > du > du > u ).

thf(mono_2Ec_2Enum_2E0_type,type,
    mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).

thf(c_2Ewords_2Eword__2comp_2E1_type,type,
    c_2Ewords_2Eword__2comp_2E1: du > u ).

thf(c_2Ewords_2En2w_2E1_type,type,
    c_2Ewords_2En2w_2E1: du > u ).

thf(mono_2Ec_2Einteger_2Eint__neg_type,type,
    mono_2Ec_2Einteger_2Eint__neg: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Ec_2Eprim__rec_2E_3C_type,type,
    mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).

thf(tyop_2Enum_2Enum_type,type,
    tyop_2Enum_2Enum: d ).

thf(mono_2Ec_2Einteger_2ENum_type,type,
    mono_2Ec_2Einteger_2ENum: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ).

thf(i_mono_2Etyop_2Emin_2Ebool_type,type,
    i_mono_2Etyop_2Emin_2Ebool: $o > u ).

thf(i_mono_2Etyop_2Einteger_2Eint_type,type,
    i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > u ).

thf(mono_2Ec_2Ebool_2EF_type,type,
    mono_2Ec_2Ebool_2EF: $o ).

thf(mono_2Ec_2Einteger_2Eint__lt_type,type,
    mono_2Ec_2Einteger_2Eint__lt: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).

thf(c_2Einteger__word_2Ei2w_2E1_type,type,
    c_2Einteger__word_2Ei2w_2E1: du > u ).

thf(mono_2Ec_2Ebool_2ET_type,type,
    mono_2Ec_2Ebool_2ET: $o ).

thf(thm_2Einteger__word_2Ei2w__0,conjecture,
    ! [A_27a: d] :
      ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
      = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A_27a: d] :
        ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
        = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2Einteger__word_2Ei2w__0]) ).

thf(zip_derived_cl43,plain,
    ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__1 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
   != ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2Einteger_2EINT__NEG__0,axiom,
    ( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
    = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ).

thf(zip_derived_cl29,plain,
    ( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
    = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2EINT__NEG__0]) ).

thf(thm_2Einteger__word_2Ei2w__def,axiom,
    ! [A_27a: d,V0i: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V0i ) ) ) )
      = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Einteger_2Eint__lt @ V0i @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__neg @ V0i ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ V0i ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: d,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ X1 ) ) ) )
      = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Einteger_2Eint__lt @ X1 @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ X1 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Einteger__word_2Ei2w__def]) ).

thf(zip_derived_cl322,plain,
    ! [X0: d,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__lt @ X1 @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
      | ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ X1 ) ) ) )
        = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ X1 ) ) ) ) ) ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl332,plain,
    ! [X0: d] :
      ( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
        = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ) ) ) )
      | ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl322]) ).

thf(thm_2Einteger_2ENUM__OF__INT,axiom,
    ! [V0n: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__of__num @ V0n ) )
      = V0n ) ).

thf(zip_derived_cl39,plain,
    ! [X0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[thm_2Einteger_2ENUM__OF__INT]) ).

thf(thm_2Ewords_2EWORD__NEG__0,axiom,
    ! [A_27a: d] :
      ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) )
      = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: d] :
      ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ) )
      = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Ewords_2EWORD__NEG__0]) ).

thf(zip_derived_cl39_001,plain,
    ! [X0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[thm_2Einteger_2ENUM__OF__INT]) ).

thf(thm_2Ebool_2Ebool__case__thm,axiom,
    ! [A_27a: d] :
      ( ! [V2t1_2E0: u,V3t2_2E0: u] :
          ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ A_27a @ V2t1_2E0 ) @ ( s @ A_27a @ V3t2_2E0 ) ) )
          = ( s @ A_27a @ V3t2_2E0 ) )
      & ! [V0t1_2E0: u,V1t2_2E0: u] :
          ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
          = ( s @ A_27a @ V0t1_2E0 ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: d,X1: u,X2: u] :
      ( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X2 ) @ ( s @ X0 @ X1 ) ) )
      = ( s @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[thm_2Ebool_2Ebool__case__thm]) ).

thf(thm_2Ebool_2EFALSITY,axiom,
    ! [V0t: $o] :
      ( mono_2Ec_2Ebool_2EF
     => V0t ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $o] :
      ( ~ mono_2Ec_2Ebool_2EF
      | X0 ),
    inference(cnf,[status(esa)],[thm_2Ebool_2EFALSITY]) ).

thf(zip_derived_cl54,plain,
    ~ mono_2Ec_2Ebool_2EF,
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl254,plain,
    ! [X0: d,X1: u,X2: u] :
      ( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ X0 @ X2 ) @ ( s @ X0 @ X1 ) ) )
      = ( s @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl54]) ).

thf(zip_derived_cl29_002,plain,
    ( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
    = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2EINT__NEG__0]) ).

thf(thm_2Einteger_2EINT__LT__CALCULATE,axiom,
    ! [V0n: mono_2Etyop_2Enum_2Enum,V1m: mono_2Etyop_2Enum_2Enum] :
      ( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ V0n ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1m ) ) )
      <=> mono_2Ec_2Ebool_2EF )
      & ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V0n ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1m ) )
      <=> ( ( V0n != mono_2Ec_2Enum_2E0 )
          | ( V1m != mono_2Ec_2Enum_2E0 ) ) )
      & ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V0n ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1m ) ) )
      <=> ( mono_2Ec_2Eprim__rec_2E_3C @ V1m @ V0n ) )
      & ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ V0n ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1m ) )
      <=> ( mono_2Ec_2Eprim__rec_2E_3C @ V0n @ V1m ) ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
      ( mono_2Ec_2Ebool_2EF
      | ~ ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2EINT__LT__CALCULATE]) ).

thf(zip_derived_cl54_003,plain,
    ~ mono_2Ec_2Ebool_2EF,
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl142,plain,
    ! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
      ~ ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl54]) ).

thf(zip_derived_cl143,plain,
    ! [X0: mono_2Etyop_2Enum_2Enum] :
      ~ ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ X0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl142]) ).

thf(zip_derived_cl341,plain,
    ! [X0: d] :
      ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
      = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl332,zip_derived_cl39,zip_derived_cl42,zip_derived_cl39,zip_derived_cl254,zip_derived_cl143]) ).

thf(zip_derived_cl1815,plain,
    ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) )
   != ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl341]) ).

thf(zip_derived_cl1816,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1815]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP015^1 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.s7yHmtztfh true
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 15:25:53 EDT 2025
% 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.55/0.69  % Total configuration time : 828
% 0.55/0.69  % Estimated wc time : 1656
% 0.55/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.58/0.83  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 4.97/1.23  % Solved by lams/40_c.s.sh.
% 4.97/1.23  % done 270 iterations in 0.469s
% 4.97/1.23  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.97/1.23  % SZS output start Refutation
% See solution above
% 4.97/1.23  
% 4.97/1.23  
% 4.97/1.23  % Terminating...
% 4.97/1.28  % Runner terminated.
% 4.97/1.29  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------