TSTP Solution File: ITP169^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP169^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.z4MKS7dDDl 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 Aug 31 05:22:37 EDT 2023

% Result   : Theorem 67.67s 9.29s
% Output   : Refutation 67.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   35
% Syntax   : Number of formulae    :   63 (  16 unt;  32 typ;   0 def)
%            Number of atoms       :  132 (  85 equ;  14 cnn)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  688 (  30   ~;  22   |;  56   &; 571   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :   46 (  46   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   33 (  25 usr;  16 con; 0-6 aty)
%                                         (   2  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   22 (   2   ^;   7   !;   1   ?;  22   :)
%                                         (  12  !>;   0  ?*;   0  @-;   0  @+)

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

thf(nat_int_type,type,
    nat_int: $tType ).

thf(view_e774982825t_unit_type,type,
    view_e774982825t_unit: $tType ).

thf(traffic_type,type,
    traffic: $tType ).

thf(cars_type,type,
    cars: $tType ).

thf(real_int_type,type,
    real_int: $tType ).

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

thf(move_type,type,
    move: traffic > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(ord_le461438217t_unit_type,type,
    ord_le461438217t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).

thf(zero_zero_real_type,type,
    zero_zero_real: real ).

thf(e_type,type,
    e: cars ).

thf(real_length_type,type,
    real_length: real_int > real ).

thf(v_type,type,
    v: view_e774982825t_unit ).

thf(ord_less_real_type,type,
    ord_less_real: real > real > $o ).

thf(ts3_type,type,
    ts3: traffic ).

thf(one_one_nat_type,type,
    one_one_nat: nat ).

thf(lan_Product_unit_type,type,
    lan_Product_unit: view_e774982825t_unit > nat_int ).

thf(ts_type,type,
    ts: traffic ).

thf(restrict_type,type,
    restrict: view_e774982825t_unit > ( cars > nat_int ) > cars > nat_int ).

thf(ext_Product_unit_type,type,
    ext_Product_unit: view_e774982825t_unit > real_int ).

thf('#sk10_type',type,
    '#sk10': view_e774982825t_unit ).

thf(regular_regular_type,type,
    regular_regular: cars > traffic > cars > real ).

thf(thesis_type,type,
    thesis: $o ).

thf(len_type,type,
    len: ( cars > traffic > cars > real ) > view_e774982825t_unit > traffic > cars > real_int ).

thf(nat_card_type,type,
    nat_card: nat_int > nat ).

thf(c_type,type,
    c: cars ).

thf(res_type,type,
    res: traffic > cars > nat_int ).

thf(s_comb_type,type,
    '#S': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).

thf(c_comb_type,type,
    '#C': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).

thf(b_comb_type,type,
    '#B': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).

thf(k_comb_type,type,
    '#K': 
      !>[A: $tType,B: $tType] : ( B > A > B ) ).

thf(i_comb_type,type,
    '#I': 
      !>[A: $tType] : ( A > A ) ).

thf(fact_4__092_060open_062_092_060exists_062v_H_092_060le_062move_Ats_Ats_H_H_Av_O_A_I0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ac_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ac_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_J_A_092_060and_062_A0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ae_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ae_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_092_060close_062,axiom,
    ? [V4: view_e774982825t_unit] :
      ( ( ( nat_card @ ( lan_Product_unit @ V4 ) )
        = one_one_nat )
      & ( ( restrict @ V4 @ ( res @ ts ) @ c )
        = ( lan_Product_unit @ V4 ) )
      & ( ( len @ regular_regular @ V4 @ ts @ c )
        = ( ext_Product_unit @ V4 ) )
      & ( ( len @ regular_regular @ V4 @ ts @ e )
        = ( ext_Product_unit @ V4 ) )
      & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ V4 ) ) )
      & ( ord_le461438217t_unit @ V4 @ ( move @ ts3 @ ts @ v ) )
      & ( ( restrict @ V4 @ ( res @ ts ) @ e )
        = ( lan_Product_unit @ V4 ) ) ) ).

thf(zip_derived_cl7,plain,
    ( ??
    @ ^ [Y0: view_e774982825t_unit] :
        ( ( ( nat_card @ ( lan_Product_unit @ Y0 ) )
          = one_one_nat )
        & ( ( restrict @ Y0 @ ( res @ ts ) @ c )
          = ( lan_Product_unit @ Y0 ) )
        & ( ( len @ regular_regular @ Y0 @ ts @ c )
          = ( ext_Product_unit @ Y0 ) )
        & ( ( len @ regular_regular @ Y0 @ ts @ e )
          = ( ext_Product_unit @ Y0 ) )
        & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ Y0 ) ) )
        & ( ord_le461438217t_unit @ Y0 @ ( move @ ts3 @ ts @ v ) )
        & ( ( restrict @ Y0 @ ( res @ ts ) @ e )
          = ( lan_Product_unit @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_4__092_060open_062_092_060exists_062v_H_092_060le_062move_Ats_Ats_H_H_Av_O_A_I0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ac_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ac_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_J_A_092_060and_062_A0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ae_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ae_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_092_060close_062]) ).

thf(zip_derived_cl8,plain,
    ?? @ ( '#S' @ ( '#S' @ ( '#S' @ ( '#S' @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ ( '#B' @ (=) @ ( '#B' @ nat_card @ lan_Product_unit ) ) @ one_one_nat ) ) @ ( '#S' @ ( '#B' @ (=) @ ( '#C' @ ( '#C' @ restrict @ ( res @ ts ) ) @ c ) ) @ lan_Product_unit ) ) @ ( '#S' @ ( '#B' @ (=) @ ( '#C' @ ( '#C' @ ( len @ regular_regular ) @ ts ) @ c ) ) @ ext_Product_unit ) ) @ ( '#S' @ ( '#B' @ (=) @ ( '#C' @ ( '#C' @ ( len @ regular_regular ) @ ts ) @ e ) ) @ ext_Product_unit ) ) @ ( '#B' @ ( ord_less_real @ zero_zero_real ) @ ( '#B' @ real_length @ ext_Product_unit ) ) ) @ ( '#C' @ ord_le461438217t_unit @ ( move @ ts3 @ ts @ v ) ) ) @ ( '#S' @ ( '#B' @ (=) @ ( '#C' @ ( '#C' @ restrict @ ( res @ ts ) ) @ e ) ) @ lan_Product_unit ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl541,plain,
    ( ( ( nat_card @ ( lan_Product_unit @ '#sk10' ) )
      = one_one_nat )
    & ( ( restrict @ '#sk10' @ ( res @ ts ) @ c )
      = ( lan_Product_unit @ '#sk10' ) )
    & ( ( len @ regular_regular @ '#sk10' @ ts @ c )
      = ( ext_Product_unit @ '#sk10' ) )
    & ( ( len @ regular_regular @ '#sk10' @ ts @ e )
      = ( ext_Product_unit @ '#sk10' ) )
    & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ '#sk10' ) ) )
    & ( ord_le461438217t_unit @ '#sk10' @ ( move @ ts3 @ ts @ v ) )
    & ( ( restrict @ '#sk10' @ ( res @ ts ) @ e )
      = ( lan_Product_unit @ '#sk10' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl545,plain,
    ( ( len @ regular_regular @ '#sk10' @ ts @ e )
    = ( ext_Product_unit @ '#sk10' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl541]) ).

thf(zip_derived_cl552,plain,
    ( ( len @ regular_regular @ '#sk10' @ ts @ e )
    = ( ext_Product_unit @ '#sk10' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl545]) ).

thf(conj_0,axiom,
    ! [V7: view_e774982825t_unit] :
      ( ( ( ord_le461438217t_unit @ V7 @ ( move @ ts3 @ ts @ v ) )
        & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ V7 ) ) )
        & ( ( len @ regular_regular @ V7 @ ts @ e )
          = ( ext_Product_unit @ V7 ) )
        & ( ( restrict @ V7 @ ( res @ ts ) @ e )
          = ( lan_Product_unit @ V7 ) )
        & ( ( len @ regular_regular @ V7 @ ts @ c )
          = ( ext_Product_unit @ V7 ) )
        & ( ( restrict @ V7 @ ( res @ ts ) @ c )
          = ( lan_Product_unit @ V7 ) )
        & ( ( nat_card @ ( lan_Product_unit @ V7 ) )
          = one_one_nat ) )
     => thesis ) ).

thf(zip_derived_cl460,plain,
    ( !!
    @ ^ [Y0: view_e774982825t_unit] :
        ( ( ( ord_le461438217t_unit @ Y0 @ ( move @ ts3 @ ts @ v ) )
          & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ Y0 ) ) )
          & ( ( len @ regular_regular @ Y0 @ ts @ e )
            = ( ext_Product_unit @ Y0 ) )
          & ( ( restrict @ Y0 @ ( res @ ts ) @ e )
            = ( lan_Product_unit @ Y0 ) )
          & ( ( len @ regular_regular @ Y0 @ ts @ c )
            = ( ext_Product_unit @ Y0 ) )
          & ( ( restrict @ Y0 @ ( res @ ts ) @ c )
            = ( lan_Product_unit @ Y0 ) )
          & ( ( nat_card @ ( lan_Product_unit @ Y0 ) )
            = one_one_nat ) )
       => thesis ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl461,plain,
    !! @ ( '#C' @ ( '#B' @ (=>) @ ( '#S' @ ( '#S' @ ( '#S' @ ( '#S' @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ ord_le461438217t_unit @ ( move @ ts3 @ ts @ v ) ) ) @ ( '#B' @ ( ord_less_real @ zero_zero_real ) @ ( '#B' @ real_length @ ext_Product_unit ) ) ) @ ( '#S' @ ( '#B' @ (=) @ ( '#C' @ ( '#C' @ ( len @ regular_regular ) @ ts ) @ e ) ) @ ext_Product_unit ) ) @ ( '#S' @ ( '#B' @ (=) @ ( '#C' @ ( '#C' @ restrict @ ( res @ ts ) ) @ e ) ) @ lan_Product_unit ) ) @ ( '#S' @ ( '#B' @ (=) @ ( '#C' @ ( '#C' @ ( len @ regular_regular ) @ ts ) @ c ) ) @ ext_Product_unit ) ) @ ( '#S' @ ( '#B' @ (=) @ ( '#C' @ ( '#C' @ restrict @ ( res @ ts ) ) @ c ) ) @ lan_Product_unit ) ) @ ( '#C' @ ( '#B' @ (=) @ ( '#B' @ nat_card @ lan_Product_unit ) ) @ one_one_nat ) ) ) @ thesis ),
    inference(lams2combs,[status(thm)],[zip_derived_cl460]) ).

thf(zip_derived_cl1045,plain,
    ! [X2: view_e774982825t_unit] :
      ( ( ( ord_le461438217t_unit @ X2 @ ( move @ ts3 @ ts @ v ) )
        & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X2 ) ) )
        & ( ( len @ regular_regular @ X2 @ ts @ e )
          = ( ext_Product_unit @ X2 ) )
        & ( ( restrict @ X2 @ ( res @ ts ) @ e )
          = ( lan_Product_unit @ X2 ) )
        & ( ( len @ regular_regular @ X2 @ ts @ c )
          = ( ext_Product_unit @ X2 ) )
        & ( ( restrict @ X2 @ ( res @ ts ) @ c )
          = ( lan_Product_unit @ X2 ) )
        & ( ( nat_card @ ( lan_Product_unit @ X2 ) )
          = one_one_nat ) )
     => thesis ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl461]) ).

thf(conj_1,conjecture,
    thesis ).

thf(zf_stmt_0,negated_conjecture,
    ~ thesis,
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl462,plain,
    ~ thesis,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1046,plain,
    ! [X2: view_e774982825t_unit] :
      ( ( ( ord_le461438217t_unit @ X2 @ ( move @ ts3 @ ts @ v ) )
        & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X2 ) ) )
        & ( ( len @ regular_regular @ X2 @ ts @ e )
          = ( ext_Product_unit @ X2 ) )
        & ( ( restrict @ X2 @ ( res @ ts ) @ e )
          = ( lan_Product_unit @ X2 ) )
        & ( ( len @ regular_regular @ X2 @ ts @ c )
          = ( ext_Product_unit @ X2 ) )
        & ( ( restrict @ X2 @ ( res @ ts ) @ c )
          = ( lan_Product_unit @ X2 ) )
        & ( ( nat_card @ ( lan_Product_unit @ X2 ) )
          = one_one_nat ) )
     => $false ),
    inference(demod,[status(thm)],[zip_derived_cl1045,zip_derived_cl462]) ).

thf(zip_derived_cl1047,plain,
    ! [X2: view_e774982825t_unit] :
      ( (~)
      @ ( ( ord_le461438217t_unit @ X2 @ ( move @ ts3 @ ts @ v ) )
        & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X2 ) ) )
        & ( ( len @ regular_regular @ X2 @ ts @ e )
          = ( ext_Product_unit @ X2 ) )
        & ( ( restrict @ X2 @ ( res @ ts ) @ e )
          = ( lan_Product_unit @ X2 ) )
        & ( ( len @ regular_regular @ X2 @ ts @ c )
          = ( ext_Product_unit @ X2 ) )
        & ( ( restrict @ X2 @ ( res @ ts ) @ c )
          = ( lan_Product_unit @ X2 ) )
        & ( ( nat_card @ ( lan_Product_unit @ X2 ) )
          = one_one_nat ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1046]) ).

thf(zip_derived_cl1048,plain,
    ! [X2: view_e774982825t_unit] :
      ~ ( ( ord_le461438217t_unit @ X2 @ ( move @ ts3 @ ts @ v ) )
        & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X2 ) ) )
        & ( ( len @ regular_regular @ X2 @ ts @ e )
          = ( ext_Product_unit @ X2 ) )
        & ( ( restrict @ X2 @ ( res @ ts ) @ e )
          = ( lan_Product_unit @ X2 ) )
        & ( ( len @ regular_regular @ X2 @ ts @ c )
          = ( ext_Product_unit @ X2 ) )
        & ( ( restrict @ X2 @ ( res @ ts ) @ c )
          = ( lan_Product_unit @ X2 ) )
        & ( ( nat_card @ ( lan_Product_unit @ X2 ) )
          = one_one_nat ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1047]) ).

thf(zip_derived_cl1049,plain,
    ! [X2: view_e774982825t_unit] :
      ( ~ ( ord_le461438217t_unit @ X2 @ ( move @ ts3 @ ts @ v ) )
      | ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X2 ) ) )
      | ( ( len @ regular_regular @ X2 @ ts @ e )
       != ( ext_Product_unit @ X2 ) )
      | ( ( restrict @ X2 @ ( res @ ts ) @ e )
       != ( lan_Product_unit @ X2 ) )
      | ( ( len @ regular_regular @ X2 @ ts @ c )
       != ( ext_Product_unit @ X2 ) )
      | ( ( restrict @ X2 @ ( res @ ts ) @ c )
       != ( lan_Product_unit @ X2 ) )
      | ( ( nat_card @ ( lan_Product_unit @ X2 ) )
       != one_one_nat ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1048]) ).

thf(zip_derived_cl1050,plain,
    ! [X2: view_e774982825t_unit] :
      ( ~ ( ord_le461438217t_unit @ X2 @ ( move @ ts3 @ ts @ v ) )
      | ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X2 ) ) )
      | ( ( len @ regular_regular @ X2 @ ts @ e )
       != ( ext_Product_unit @ X2 ) )
      | ( ( restrict @ X2 @ ( res @ ts ) @ e )
       != ( lan_Product_unit @ X2 ) )
      | ( ( len @ regular_regular @ X2 @ ts @ c )
       != ( ext_Product_unit @ X2 ) )
      | ( ( restrict @ X2 @ ( res @ ts ) @ c )
       != ( lan_Product_unit @ X2 ) )
      | ( ( nat_card @ ( lan_Product_unit @ X2 ) )
       != one_one_nat ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1049]) ).

thf(zip_derived_cl8772,plain,
    ( ( ( ext_Product_unit @ '#sk10' )
     != ( ext_Product_unit @ '#sk10' ) )
    | ( ( nat_card @ ( lan_Product_unit @ '#sk10' ) )
     != one_one_nat )
    | ( ( restrict @ '#sk10' @ ( res @ ts ) @ c )
     != ( lan_Product_unit @ '#sk10' ) )
    | ( ( len @ regular_regular @ '#sk10' @ ts @ c )
     != ( ext_Product_unit @ '#sk10' ) )
    | ( ( restrict @ '#sk10' @ ( res @ ts ) @ e )
     != ( lan_Product_unit @ '#sk10' ) )
    | ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ '#sk10' ) ) )
    | ~ ( ord_le461438217t_unit @ '#sk10' @ ( move @ ts3 @ ts @ v ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl552,zip_derived_cl1050]) ).

thf(zip_derived_cl542,plain,
    ( ( nat_card @ ( lan_Product_unit @ '#sk10' ) )
    = one_one_nat ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl541]) ).

thf(zip_derived_cl549,plain,
    ( ( nat_card @ ( lan_Product_unit @ '#sk10' ) )
    = one_one_nat ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl542]) ).

thf(zip_derived_cl543,plain,
    ( ( restrict @ '#sk10' @ ( res @ ts ) @ c )
    = ( lan_Product_unit @ '#sk10' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl541]) ).

thf(zip_derived_cl550,plain,
    ( ( restrict @ '#sk10' @ ( res @ ts ) @ c )
    = ( lan_Product_unit @ '#sk10' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl543]) ).

thf(zip_derived_cl544,plain,
    ( ( len @ regular_regular @ '#sk10' @ ts @ c )
    = ( ext_Product_unit @ '#sk10' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl541]) ).

thf(zip_derived_cl551,plain,
    ( ( len @ regular_regular @ '#sk10' @ ts @ c )
    = ( ext_Product_unit @ '#sk10' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl544]) ).

thf(zip_derived_cl548,plain,
    ( ( restrict @ '#sk10' @ ( res @ ts ) @ e )
    = ( lan_Product_unit @ '#sk10' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl541]) ).

thf(zip_derived_cl553,plain,
    ( ( restrict @ '#sk10' @ ( res @ ts ) @ e )
    = ( lan_Product_unit @ '#sk10' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl548]) ).

thf(zip_derived_cl546,plain,
    ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ '#sk10' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl541]) ).

thf(zip_derived_cl547,plain,
    ord_le461438217t_unit @ '#sk10' @ ( move @ ts3 @ ts @ v ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl541]) ).

thf(zip_derived_cl8775,plain,
    ( ( ( ext_Product_unit @ '#sk10' )
     != ( ext_Product_unit @ '#sk10' ) )
    | ( one_one_nat != one_one_nat )
    | ( ( lan_Product_unit @ '#sk10' )
     != ( lan_Product_unit @ '#sk10' ) )
    | ( ( ext_Product_unit @ '#sk10' )
     != ( ext_Product_unit @ '#sk10' ) )
    | ( ( lan_Product_unit @ '#sk10' )
     != ( lan_Product_unit @ '#sk10' ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8772,zip_derived_cl549,zip_derived_cl550,zip_derived_cl551,zip_derived_cl553,zip_derived_cl546,zip_derived_cl547]) ).

thf(zip_derived_cl8776,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl8775]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP169^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.z4MKS7dDDl true
% 0.13/0.35  % Computer : n012.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 14:16:10 EDT 2023
% 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
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.81  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.27/0.87  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 67.67/9.29  % Solved by lams/40_b.comb.sh.
% 67.67/9.29  % done 575 iterations in 8.497s
% 67.67/9.29  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 67.67/9.29  % SZS output start Refutation
% See solution above
% 67.67/9.29  
% 67.67/9.29  
% 67.67/9.29  % Terminating...
% 68.19/9.39  % Runner terminated.
% 68.19/9.40  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------