TSTP Solution File: SEU411+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU411+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.viC3Yo8yhA true

% Computer : n032.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 19:12:43 EDT 2023

% Result   : Theorem 88.51s 13.32s
% Output   : Refutation 88.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  104 (  41 unt;  25 typ;   0 def)
%            Number of atoms       :  218 (   9 equ;   0 cnn)
%            Maximal formula atoms :   19 (   2 avg)
%            Number of connectives :  690 (  78   ~;  68   |;  54   &; 473   @)
%                                         (   2 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   28 (  28   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;   4 con; 0-2 aty)
%            Number of variables   :   65 (   0   ^;  62   !;   3   ?;  65   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__15_type,type,
    sk__15: $i > $i ).

thf(sk__52_type,type,
    sk__52: $i ).

thf(sk__29_type,type,
    sk__29: $i > $i ).

thf(v1_xboole_0_type,type,
    v1_xboole_0: $i > $o ).

thf(v1_yellow_0_type,type,
    v1_yellow_0: $i > $o ).

thf(v1_funct_1_type,type,
    v1_funct_1: $i > $o ).

thf(v2_orders_2_type,type,
    v2_orders_2: $i > $o ).

thf(v3_struct_0_type,type,
    v3_struct_0: $i > $o ).

thf(k3_yellow_0_type,type,
    k3_yellow_0: $i > $i ).

thf(k3_xboole_0_type,type,
    k3_xboole_0: $i > $i > $i ).

thf(r2_hidden_type,type,
    r2_hidden: $i > $i > $o ).

thf(v4_orders_2_type,type,
    v4_orders_2: $i > $o ).

thf(sk__53_type,type,
    sk__53: $i ).

thf(v3_orders_2_type,type,
    v3_orders_2: $i > $o ).

thf(v1_relat_1_type,type,
    v1_relat_1: $i > $o ).

thf(v2_waybel_0_type,type,
    v2_waybel_0: $i > $i > $o ).

thf(v1_lattice3_type,type,
    v1_lattice3: $i > $o ).

thf(m1_subset_1_type,type,
    m1_subset_1: $i > $i > $o ).

thf(v1_finset_1_type,type,
    v1_finset_1: $i > $o ).

thf(v1_waybel_0_type,type,
    v1_waybel_0: $i > $i > $o ).

thf(l1_orders_2_type,type,
    l1_orders_2: $i > $o ).

thf(v12_waybel_0_type,type,
    v12_waybel_0: $i > $i > $o ).

thf(sk__19_type,type,
    sk__19: $i ).

thf(k1_zfmisc_1_type,type,
    k1_zfmisc_1: $i > $i ).

thf(u1_struct_0_type,type,
    u1_struct_0: $i > $i ).

thf(t20_latsum_1,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_orders_2 @ A )
        & ( v3_orders_2 @ A )
        & ( v4_orders_2 @ A )
        & ( v1_yellow_0 @ A )
        & ( v1_lattice3 @ A )
        & ( l1_orders_2 @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v2_orders_2 @ B )
            & ( v3_orders_2 @ B )
            & ( v4_orders_2 @ B )
            & ( v1_yellow_0 @ B )
            & ( v1_lattice3 @ B )
            & ( l1_orders_2 @ B ) )
         => ( ( ~ ( v1_xboole_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
              & ( v1_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
              & ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
              & ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) ) )
           => ( r2_hidden @ ( k3_yellow_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v2_orders_2 @ A )
          & ( v3_orders_2 @ A )
          & ( v4_orders_2 @ A )
          & ( v1_yellow_0 @ A )
          & ( v1_lattice3 @ A )
          & ( l1_orders_2 @ A ) )
       => ! [B: $i] :
            ( ( ~ ( v3_struct_0 @ B )
              & ( v2_orders_2 @ B )
              & ( v3_orders_2 @ B )
              & ( v4_orders_2 @ B )
              & ( v1_yellow_0 @ B )
              & ( v1_lattice3 @ B )
              & ( l1_orders_2 @ B ) )
           => ( ( ~ ( v1_xboole_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
                & ( v1_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
                & ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
                & ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) ) )
             => ( r2_hidden @ ( k3_yellow_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t20_latsum_1]) ).

thf(zip_derived_cl308,plain,
    ~ ( r2_hidden @ ( k3_yellow_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl307,plain,
    m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__52 ) @ ( u1_struct_0 @ sk__53 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__53 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(commutativity_k3_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( k3_xboole_0 @ A @ B )
      = ( k3_xboole_0 @ B @ A ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( k3_xboole_0 @ X1 @ X0 )
      = ( k3_xboole_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl826,plain,
    m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__53 ) ),
    inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl17]) ).

thf(t21_waybel_4,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_orders_2 @ A )
        & ( v3_orders_2 @ A )
        & ( v4_orders_2 @ A )
        & ( v1_yellow_0 @ A )
        & ( l1_orders_2 @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v1_xboole_0 @ B )
            & ( v1_waybel_0 @ B @ A )
            & ( v12_waybel_0 @ B @ A )
            & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
         => ( r2_hidden @ ( k3_yellow_0 @ A ) @ B ) ) ) ).

thf(zip_derived_cl230,plain,
    ! [X0: $i,X1: $i] :
      ( ( v1_xboole_0 @ X0 )
      | ~ ( v1_waybel_0 @ X0 @ X1 )
      | ~ ( v12_waybel_0 @ X0 @ X1 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( r2_hidden @ ( k3_yellow_0 @ X1 ) @ X0 )
      | ~ ( l1_orders_2 @ X1 )
      | ~ ( v1_yellow_0 @ X1 )
      | ~ ( v4_orders_2 @ X1 )
      | ~ ( v3_orders_2 @ X1 )
      | ~ ( v2_orders_2 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t21_waybel_4]) ).

thf(zip_derived_cl27914,plain,
    ( ( v3_struct_0 @ sk__53 )
    | ~ ( v2_orders_2 @ sk__53 )
    | ~ ( v3_orders_2 @ sk__53 )
    | ~ ( v4_orders_2 @ sk__53 )
    | ~ ( v1_yellow_0 @ sk__53 )
    | ~ ( l1_orders_2 @ sk__53 )
    | ( r2_hidden @ ( k3_yellow_0 @ sk__53 ) @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ) ) )
    | ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ) ) @ sk__53 )
    | ~ ( v1_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ) ) @ sk__53 )
    | ( v1_xboole_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl826,zip_derived_cl230]) ).

thf(zip_derived_cl315,plain,
    ~ ( v3_struct_0 @ sk__53 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl314,plain,
    v2_orders_2 @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl313,plain,
    v3_orders_2 @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl312,plain,
    v4_orders_2 @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl311,plain,
    v1_yellow_0 @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl309,plain,
    l1_orders_2 @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__52 ) @ ( u1_struct_0 @ sk__53 ) ) @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( k3_xboole_0 @ X1 @ X0 )
      = ( k3_xboole_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl825,plain,
    v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ) ) @ sk__53,
    inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl17]) ).

thf(zip_derived_cl305,plain,
    v1_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__52 ) @ ( u1_struct_0 @ sk__53 ) ) @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( k3_xboole_0 @ X1 @ X0 )
      = ( k3_xboole_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl824,plain,
    v1_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ) ) @ sk__53,
    inference(demod,[status(thm)],[zip_derived_cl305,zip_derived_cl17]) ).

thf(zip_derived_cl304,plain,
    ~ ( v1_xboole_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__52 ) @ ( u1_struct_0 @ sk__53 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( k3_xboole_0 @ X1 @ X0 )
      = ( k3_xboole_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl823,plain,
    ~ ( v1_xboole_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl17]) ).

thf(zip_derived_cl27952,plain,
    r2_hidden @ ( k3_yellow_0 @ sk__53 ) @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ) ),
    inference(demod,[status(thm)],[zip_derived_cl27914,zip_derived_cl315,zip_derived_cl314,zip_derived_cl313,zip_derived_cl312,zip_derived_cl311,zip_derived_cl309,zip_derived_cl825,zip_derived_cl824,zip_derived_cl823]) ).

thf(t13_latsum_1,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l1_orders_2 @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( l1_orders_2 @ B ) )
         => ! [C: $i] :
              ( ( r2_hidden @ C @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
             => ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) ) ) ) ) ).

thf(zip_derived_cl295,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( l1_orders_2 @ X0 )
      | ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ~ ( r2_hidden @ X1 @ ( k3_xboole_0 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) ) )
      | ~ ( l1_orders_2 @ X2 )
      | ( v3_struct_0 @ X2 ) ),
    inference(cnf,[status(esa)],[t13_latsum_1]) ).

thf(zip_derived_cl40893,plain,
    ( ( v3_struct_0 @ sk__53 )
    | ~ ( l1_orders_2 @ sk__53 )
    | ( m1_subset_1 @ ( k3_yellow_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ) )
    | ~ ( l1_orders_2 @ sk__52 )
    | ( v3_struct_0 @ sk__52 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27952,zip_derived_cl295]) ).

thf(zip_derived_cl315_004,plain,
    ~ ( v3_struct_0 @ sk__53 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl309_005,plain,
    l1_orders_2 @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl303,plain,
    l1_orders_2 @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl297,plain,
    ~ ( v3_struct_0 @ sk__52 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40939,plain,
    m1_subset_1 @ ( k3_yellow_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ),
    inference(demod,[status(thm)],[zip_derived_cl40893,zip_derived_cl315,zip_derived_cl309,zip_derived_cl303,zip_derived_cl297]) ).

thf(d2_subset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( v1_xboole_0 @ A )
       => ( ( m1_subset_1 @ B @ A )
        <=> ( v1_xboole_0 @ B ) ) )
      & ( ~ ( v1_xboole_0 @ A )
       => ( ( m1_subset_1 @ B @ A )
        <=> ( r2_hidden @ B @ A ) ) ) ) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ X1 )
      | ( r2_hidden @ X0 @ X1 )
      | ( v1_xboole_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d2_subset_1]) ).

thf(zip_derived_cl40946,plain,
    ( ( v1_xboole_0 @ ( u1_struct_0 @ sk__52 ) )
    | ( r2_hidden @ ( k3_yellow_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl40939,zip_derived_cl82]) ).

thf(rc2_waybel_0,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_orders_2 @ A )
        & ( l1_orders_2 @ A ) )
     => ? [B: $i] :
          ( ( v2_waybel_0 @ B @ A )
          & ( v1_waybel_0 @ B @ A )
          & ( v1_finset_1 @ B )
          & ~ ( v1_xboole_0 @ B )
          & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i] :
      ( ~ ( v1_xboole_0 @ ( sk__29 @ X0 ) )
      | ~ ( l1_orders_2 @ X0 )
      | ~ ( v2_orders_2 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[rc2_waybel_0]) ).

thf(zip_derived_cl303_006,plain,
    l1_orders_2 @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl151,plain,
    ! [X0: $i] :
      ( ( m1_subset_1 @ ( sk__29 @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ~ ( l1_orders_2 @ X0 )
      | ~ ( v2_orders_2 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[rc2_waybel_0]) ).

thf(zip_derived_cl14764,plain,
    ( ( v3_struct_0 @ sk__52 )
    | ~ ( v2_orders_2 @ sk__52 )
    | ( m1_subset_1 @ ( sk__29 @ sk__52 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__52 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl303,zip_derived_cl151]) ).

thf(zip_derived_cl297_007,plain,
    ~ ( v3_struct_0 @ sk__52 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl298,plain,
    v2_orders_2 @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14766,plain,
    m1_subset_1 @ ( sk__29 @ sk__52 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__52 ) ),
    inference(demod,[status(thm)],[zip_derived_cl14764,zip_derived_cl297,zip_derived_cl298]) ).

thf(t4_subset,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( r2_hidden @ A @ B )
        & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
     => ( m1_subset_1 @ A @ C ) ) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r2_hidden @ X0 @ X1 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
      | ( m1_subset_1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t4_subset]) ).

thf(zip_derived_cl14773,plain,
    ! [X0: $i] :
      ( ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__52 ) )
      | ~ ( r2_hidden @ X0 @ ( sk__29 @ sk__52 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14766,zip_derived_cl96]) ).

thf(existence_m1_subset_1,axiom,
    ! [A: $i] :
    ? [B: $i] : ( m1_subset_1 @ B @ A ) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i] : ( m1_subset_1 @ ( sk__15 @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[existence_m1_subset_1]) ).

thf(zip_derived_cl82_008,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ X1 )
      | ( r2_hidden @ X0 @ X1 )
      | ( v1_xboole_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d2_subset_1]) ).

thf(zip_derived_cl650,plain,
    ! [X0: $i] :
      ( ( v1_xboole_0 @ X0 )
      | ( r2_hidden @ ( sk__15 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl82]) ).

thf(zip_derived_cl22278,plain,
    ( ( m1_subset_1 @ ( sk__15 @ ( sk__29 @ sk__52 ) ) @ ( u1_struct_0 @ sk__52 ) )
    | ( v1_xboole_0 @ ( sk__29 @ sk__52 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14773,zip_derived_cl650]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ X1 )
      | ( v1_xboole_0 @ X0 )
      | ~ ( v1_xboole_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d2_subset_1]) ).

thf(zip_derived_cl22382,plain,
    ( ( v1_xboole_0 @ ( sk__29 @ sk__52 ) )
    | ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__52 ) )
    | ( v1_xboole_0 @ ( sk__15 @ ( sk__29 @ sk__52 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22278,zip_derived_cl84]) ).

thf(zip_derived_cl90_009,plain,
    ! [X0: $i] : ( m1_subset_1 @ ( sk__15 @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[existence_m1_subset_1]) ).

thf(zip_derived_cl84_010,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ X1 )
      | ( v1_xboole_0 @ X0 )
      | ~ ( v1_xboole_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d2_subset_1]) ).

thf(zip_derived_cl389,plain,
    ! [X0: $i] :
      ( ~ ( v1_xboole_0 @ X0 )
      | ( v1_xboole_0 @ ( sk__15 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl84]) ).

thf(zip_derived_cl22397,plain,
    ( ( v1_xboole_0 @ ( sk__15 @ ( sk__29 @ sk__52 ) ) )
    | ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__52 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl22382,zip_derived_cl389]) ).

thf(t8_boole,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( v1_xboole_0 @ A )
        & ( A != B )
        & ( v1_xboole_0 @ B ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_xboole_0 @ X0 )
      | ~ ( v1_xboole_0 @ X1 )
      | ( X0 = X1 ) ),
    inference(cnf,[status(esa)],[t8_boole]) ).

thf(rc2_funct_1,axiom,
    ? [A: $i] :
      ( ( v1_funct_1 @ A )
      & ( v1_xboole_0 @ A )
      & ( v1_relat_1 @ A ) ) ).

thf(zip_derived_cl111,plain,
    v1_xboole_0 @ sk__19,
    inference(cnf,[status(esa)],[rc2_funct_1]) ).

thf(zip_derived_cl416,plain,
    ! [X0: $i] :
      ( ( sk__19 = X0 )
      | ~ ( v1_xboole_0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl111]) ).

thf(zip_derived_cl22405,plain,
    ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__52 ) )
    | ( sk__19
      = ( sk__15 @ ( sk__29 @ sk__52 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22397,zip_derived_cl416]) ).

thf(zip_derived_cl650_011,plain,
    ! [X0: $i] :
      ( ( v1_xboole_0 @ X0 )
      | ( r2_hidden @ ( sk__15 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl82]) ).

thf(zip_derived_cl22443,plain,
    ( ( r2_hidden @ sk__19 @ ( sk__29 @ sk__52 ) )
    | ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__52 ) )
    | ( v1_xboole_0 @ ( sk__29 @ sk__52 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl22405,zip_derived_cl650]) ).

thf(zip_derived_cl14766_012,plain,
    m1_subset_1 @ ( sk__29 @ sk__52 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__52 ) ),
    inference(demod,[status(thm)],[zip_derived_cl14764,zip_derived_cl297,zip_derived_cl298]) ).

thf(t5_subset,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( r2_hidden @ A @ B )
        & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
        & ( v1_xboole_0 @ C ) ) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r2_hidden @ X0 @ X1 )
      | ~ ( v1_xboole_0 @ X2 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t5_subset]) ).

thf(zip_derived_cl14774,plain,
    ! [X0: $i] :
      ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__52 ) )
      | ~ ( r2_hidden @ X0 @ ( sk__29 @ sk__52 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14766,zip_derived_cl97]) ).

thf(zip_derived_cl22821,plain,
    ( ( v1_xboole_0 @ ( sk__29 @ sk__52 ) )
    | ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__52 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl22443,zip_derived_cl14774]) ).

thf(zip_derived_cl22852,plain,
    ( ( v3_struct_0 @ sk__52 )
    | ~ ( v2_orders_2 @ sk__52 )
    | ~ ( l1_orders_2 @ sk__52 )
    | ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__52 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl150,zip_derived_cl22821]) ).

thf(zip_derived_cl297_013,plain,
    ~ ( v3_struct_0 @ sk__52 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl298_014,plain,
    v2_orders_2 @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl303_015,plain,
    l1_orders_2 @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22853,plain,
    ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__52 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22852,zip_derived_cl297,zip_derived_cl298,zip_derived_cl303]) ).

thf(zip_derived_cl40962,plain,
    r2_hidden @ ( k3_yellow_0 @ sk__53 ) @ ( u1_struct_0 @ sk__52 ),
    inference(demod,[status(thm)],[zip_derived_cl40946,zip_derived_cl22853]) ).

thf(zip_derived_cl40972,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl40962]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem  : SEU411+3 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.viC3Yo8yhA true
% 0.09/0.33  % Computer : n032.cluster.edu
% 0.09/0.33  % Model    : x86_64 x86_64
% 0.09/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33  % Memory   : 8042.1875MB
% 0.09/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33  % CPULimit : 300
% 0.09/0.33  % WCLimit  : 300
% 0.09/0.33  % DateTime : Wed Aug 23 13:18:58 EDT 2023
% 0.09/0.33  % CPUTime  : 
% 0.09/0.33  % Running portfolio for 300 s
% 0.09/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.33  % Number of cores: 8
% 0.09/0.33  % Python version: Python 3.6.8
% 0.09/0.33  % Running in FO mode
% 0.14/0.52  % Total configuration time : 435
% 0.14/0.52  % Estimated wc time : 1092
% 0.14/0.52  % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.62  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.62  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.63  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.63  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.63  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.14/0.64  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.64  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 88.51/13.32  % Solved by fo/fo4.sh.
% 88.51/13.32  % done 4913 iterations in 12.648s
% 88.51/13.32  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 88.51/13.32  % SZS output start Refutation
% See solution above
% 88.51/13.32  
% 88.51/13.32  
% 88.51/13.32  % Terminating...
% 89.32/13.38  % Runner terminated.
% 89.33/13.39  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------