TSTP Solution File: LAT304+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT304+1 : 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.x3c5f7AUKd true

% Computer : n024.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 06:46:45 EDT 2023

% Result   : Theorem 59.10s 9.05s
% Output   : Refutation 59.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  110 (  13 unt;  26 typ;   0 def)
%            Number of atoms       :  261 (  34 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  976 ( 128   ~; 123   |;  35   &; 671   @)
%                                         (   3 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   37 (  37   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   28 (  26 usr;   2 con; 0-3 aty)
%            Number of variables   :  117 (   0   ^; 117   !;   0   ?; 117   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v4_lattices_type,type,
    v4_lattices: $i > $o ).

thf(sk__type,type,
    sk_: $i ).

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

thf(l1_lattices_type,type,
    l1_lattices: $i > $o ).

thf(m1_filter_0_type,type,
    m1_filter_0: $i > $i > $o ).

thf(k2_zfmisc_1_type,type,
    k2_zfmisc_1: $i > $i > $i ).

thf(m2_relset_1_type,type,
    m2_relset_1: $i > $i > $i > $o ).

thf(u1_lattices_type,type,
    u1_lattices: $i > $i ).

thf(v5_lattices_type,type,
    v5_lattices: $i > $o ).

thf(v10_lattices_type,type,
    v10_lattices: $i > $o ).

thf(v6_lattices_type,type,
    v6_lattices: $i > $o ).

thf(u2_lattices_type,type,
    u2_lattices: $i > $i ).

thf(v8_lattices_type,type,
    v8_lattices: $i > $o ).

thf(m1_filter_2_type,type,
    m1_filter_2: $i > $i > $o ).

thf(l2_lattices_type,type,
    l2_lattices: $i > $o ).

thf(k1_lattice2_type,type,
    k1_lattice2: $i > $i ).

thf(m1_relset_1_type,type,
    m1_relset_1: $i > $i > $i > $o ).

thf(v3_lattices_type,type,
    v3_lattices: $i > $o ).

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

thf(v9_lattices_type,type,
    v9_lattices: $i > $o ).

thf(l3_lattices_type,type,
    l3_lattices: $i > $o ).

thf(v7_lattices_type,type,
    v7_lattices: $i > $o ).

thf(v1_funct_2_type,type,
    v1_funct_2: $i > $i > $i > $o ).

thf(g3_lattices_type,type,
    g3_lattices: $i > $i > $i > $i ).

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

thf(m2_filter_2_type,type,
    m2_filter_2: $i > $i > $o ).

thf(fc6_lattice2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
        & ( v3_lattices @ ( k1_lattice2 @ A ) )
        & ( v4_lattices @ ( k1_lattice2 @ A ) )
        & ( v5_lattices @ ( k1_lattice2 @ A ) )
        & ( v6_lattices @ ( k1_lattice2 @ A ) )
        & ( v7_lattices @ ( k1_lattice2 @ A ) )
        & ( v8_lattices @ ( k1_lattice2 @ A ) )
        & ( v9_lattices @ ( k1_lattice2 @ A ) )
        & ( v10_lattices @ ( k1_lattice2 @ A ) ) ) ) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ( v10_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[fc6_lattice2]) ).

thf(dt_k1_lattice2,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( v3_lattices @ ( k1_lattice2 @ A ) )
        & ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( v3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_lattice2]) ).

thf(abstractness_v3_lattices,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( v3_lattices @ A )
       => ( A
          = ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ~ ( v3_lattices @ X0 )
      | ( X0
        = ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[abstractness_v3_lattices]) ).

thf(zip_derived_cl1006,plain,
    ! [X0: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ( ( k1_lattice2 @ X0 )
        = ( g3_lattices @ ( u1_struct_0 @ ( k1_lattice2 @ X0 ) ) @ ( u2_lattices @ ( k1_lattice2 @ X0 ) ) @ ( u1_lattices @ ( k1_lattice2 @ X0 ) ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl4]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_lattice2]) ).

thf(zip_derived_cl2116,plain,
    ! [X0: $i] :
      ( ( ( k1_lattice2 @ X0 )
        = ( g3_lattices @ ( u1_struct_0 @ ( k1_lattice2 @ X0 ) ) @ ( u2_lattices @ ( k1_lattice2 @ X0 ) ) @ ( u1_lattices @ ( k1_lattice2 @ X0 ) ) ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1006,zip_derived_cl24]) ).

thf(d2_lattice2,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( k1_lattice2 @ A )
        = ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u1_lattices @ A ) @ ( u2_lattices @ A ) ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( ( k1_lattice2 @ X0 )
        = ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u1_lattices @ X0 ) @ ( u2_lattices @ X0 ) ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[d2_lattice2]) ).

thf(dt_l3_lattices,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( l1_lattices @ A )
        & ( l2_lattices @ A ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( l2_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l3_lattices]) ).

thf(dt_u2_lattices,axiom,
    ! [A: $i] :
      ( ( l2_lattices @ A )
     => ( ( v1_funct_1 @ ( u2_lattices @ A ) )
        & ( v1_funct_2 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
        & ( m2_relset_1 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( l2_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_u2_lattices]) ).

thf(zip_derived_cl1250,plain,
    ! [X0: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl48]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( l1_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l3_lattices]) ).

thf(dt_u1_lattices,axiom,
    ! [A: $i] :
      ( ( l1_lattices @ A )
     => ( ( v1_funct_1 @ ( u1_lattices @ A ) )
        & ( v1_funct_2 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
        & ( m2_relset_1 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( m2_relset_1 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( l1_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_u1_lattices]) ).

thf(redefinition_m2_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m2_relset_1 @ C @ A @ B )
    <=> ( m1_relset_1 @ C @ A @ B ) ) ).

thf(zip_derived_cl138,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).

thf(zip_derived_cl970,plain,
    ! [X0: $i] :
      ( ~ ( l1_lattices @ X0 )
      | ( m1_relset_1 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl138]) ).

thf(zip_derived_cl1222,plain,
    ! [X0: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ( m1_relset_1 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl31,zip_derived_cl970]) ).

thf(free_g3_lattices,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( v1_funct_1 @ B )
        & ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
        & ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
        & ( v1_funct_1 @ C )
        & ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
        & ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
     => ! [D: $i,E: $i,F: $i] :
          ( ( ( g3_lattices @ A @ B @ C )
            = ( g3_lattices @ D @ E @ F ) )
         => ( ( A = D )
            & ( B = E )
            & ( C = F ) ) ) ) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( m1_relset_1 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
      | ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
      | ~ ( v1_funct_1 @ X0 )
      | ~ ( v1_funct_1 @ X2 )
      | ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
      | ~ ( m1_relset_1 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
      | ( X1 = X3 )
      | ( ( g3_lattices @ X1 @ X0 @ X2 )
       != ( g3_lattices @ X3 @ X4 @ X5 ) ) ),
    inference(cnf,[status(esa)],[free_g3_lattices]) ).

thf(zip_derived_cl2299,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v1_funct_1 @ ( u1_lattices @ X0 ) )
      | ~ ( v1_funct_1 @ X1 )
      | ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
      | ( ( u1_struct_0 @ X0 )
        = X2 )
      | ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u1_lattices @ X0 ) @ X1 )
       != ( g3_lattices @ X2 @ X4 @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1222,zip_derived_cl98]) ).

thf(zip_derived_cl31_001,plain,
    ! [X0: $i] :
      ( ( l1_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l3_lattices]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( l1_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_u1_lattices]) ).

thf(zip_derived_cl1215,plain,
    ! [X0: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl31,zip_derived_cl44]) ).

thf(zip_derived_cl5283,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u1_lattices @ X0 ) @ X1 )
       != ( g3_lattices @ X2 @ X4 @ X3 ) )
      | ( ( u1_struct_0 @ X0 )
        = X2 )
      | ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v1_funct_1 @ X1 )
      | ~ ( v1_funct_1 @ ( u1_lattices @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2299,zip_derived_cl1215]) ).

thf(zip_derived_cl31_002,plain,
    ! [X0: $i] :
      ( ( l1_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l3_lattices]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( v1_funct_1 @ ( u1_lattices @ X0 ) )
      | ~ ( l1_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_u1_lattices]) ).

thf(zip_derived_cl1214,plain,
    ! [X0: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ( v1_funct_1 @ ( u1_lattices @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl31,zip_derived_cl43]) ).

thf(zip_derived_cl5284,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v1_funct_1 @ X1 )
      | ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
      | ( ( u1_struct_0 @ X0 )
        = X2 )
      | ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u1_lattices @ X0 ) @ X1 )
       != ( g3_lattices @ X2 @ X4 @ X3 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl5283,zip_derived_cl1214]) ).

thf(zip_derived_cl5286,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v1_funct_1 @ ( u2_lattices @ X0 ) )
      | ~ ( m1_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
      | ( ( u1_struct_0 @ X0 )
        = X1 )
      | ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u1_lattices @ X0 ) @ ( u2_lattices @ X0 ) )
       != ( g3_lattices @ X1 @ X3 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1250,zip_derived_cl5284]) ).

thf(zip_derived_cl5305,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u1_lattices @ X0 ) @ ( u2_lattices @ X0 ) )
       != ( g3_lattices @ X1 @ X3 @ X2 ) )
      | ( ( u1_struct_0 @ X0 )
        = X1 )
      | ~ ( m1_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v1_funct_1 @ ( u2_lattices @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5286]) ).

thf(zip_derived_cl32_003,plain,
    ! [X0: $i] :
      ( ( l2_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l3_lattices]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] :
      ( ( m2_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( l2_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_u2_lattices]) ).

thf(zip_derived_cl138_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).

thf(zip_derived_cl971,plain,
    ! [X0: $i] :
      ( ~ ( l2_lattices @ X0 )
      | ( m1_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl138]) ).

thf(zip_derived_cl1257,plain,
    ! [X0: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ( m1_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl971]) ).

thf(zip_derived_cl21014,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v1_funct_1 @ ( u2_lattices @ X0 ) )
      | ( ( u1_struct_0 @ X0 )
        = X1 )
      | ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u1_lattices @ X0 ) @ ( u2_lattices @ X0 ) )
       != ( g3_lattices @ X1 @ X3 @ X2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl5305,zip_derived_cl1257]) ).

thf(zip_derived_cl32_005,plain,
    ! [X0: $i] :
      ( ( l2_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l3_lattices]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( v1_funct_1 @ ( u2_lattices @ X0 ) )
      | ~ ( l2_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_u2_lattices]) ).

thf(zip_derived_cl1249,plain,
    ! [X0: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ( v1_funct_1 @ ( u2_lattices @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl47]) ).

thf(zip_derived_cl21015,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u1_lattices @ X0 ) @ ( u2_lattices @ X0 ) )
       != ( g3_lattices @ X1 @ X3 @ X2 ) )
      | ( ( u1_struct_0 @ X0 )
        = X1 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl21014,zip_derived_cl1249]) ).

thf(zip_derived_cl21025,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ( ( k1_lattice2 @ X0 )
       != ( g3_lattices @ X3 @ X2 @ X1 ) )
      | ( ( u1_struct_0 @ X0 )
        = X3 )
      | ~ ( l3_lattices @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl21015]) ).

thf(zip_derived_cl21085,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( u1_struct_0 @ X0 )
        = X3 )
      | ( ( k1_lattice2 @ X0 )
       != ( g3_lattices @ X3 @ X2 @ X1 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl21025]) ).

thf(zip_derived_cl21110,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ( ( u1_struct_0 @ X1 )
        = ( u1_struct_0 @ ( k1_lattice2 @ X0 ) ) )
      | ( ( k1_lattice2 @ X1 )
       != ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2116,zip_derived_cl21085]) ).

thf(zip_derived_cl21169,plain,
    ! [X0: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ( ( u1_struct_0 @ X0 )
        = ( u1_struct_0 @ ( k1_lattice2 @ X0 ) ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl21110]) ).

thf(zip_derived_cl21170,plain,
    ! [X0: $i] :
      ( ( ( u1_struct_0 @ X0 )
        = ( u1_struct_0 @ ( k1_lattice2 @ X0 ) ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl21169]) ).

thf(t15_filter_0,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( m1_filter_0 @ ( u1_struct_0 @ A ) @ A ) ) ).

thf(zip_derived_cl141,plain,
    ! [X0: $i] :
      ( ( m1_filter_0 @ ( u1_struct_0 @ X0 ) @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[t15_filter_0]) ).

thf(redefinition_m1_filter_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_2 @ B @ A )
        <=> ( m1_filter_0 @ B @ A ) ) ) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_filter_0 @ X0 @ X1 )
      | ( m1_filter_2 @ X0 @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[redefinition_m1_filter_2]) ).

thf(zip_derived_cl992,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ( m1_filter_2 @ ( u1_struct_0 @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl141,zip_derived_cl136]) ).

thf(zip_derived_cl2049,plain,
    ! [X0: $i] :
      ( ( m1_filter_2 @ ( u1_struct_0 @ X0 ) @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl992]) ).

thf(zip_derived_cl21204,plain,
    ! [X0: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ( m1_filter_2 @ ( u1_struct_0 @ X0 ) @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ X0 ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl21170,zip_derived_cl2049]) ).

thf(zip_derived_cl24_006,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_lattice2]) ).

thf(zip_derived_cl25645,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ ( k1_lattice2 @ X0 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ X0 ) )
      | ( m1_filter_2 @ ( u1_struct_0 @ X0 ) @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl21204,zip_derived_cl24]) ).

thf(t21_filter_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m2_filter_2 @ B @ A )
        <=> ( m1_filter_2 @ B @ ( k1_lattice2 @ A ) ) ) ) ).

thf(zip_derived_cl143,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_filter_2 @ X0 @ ( k1_lattice2 @ X1 ) )
      | ( m2_filter_2 @ X0 @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t21_filter_2]) ).

thf(t28_filter_2,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( m2_filter_2 @ ( u1_struct_0 @ A ) @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v10_lattices @ A )
          & ( l3_lattices @ A ) )
       => ( m2_filter_2 @ ( u1_struct_0 @ A ) @ A ) ),
    inference('cnf.neg',[status(esa)],[t28_filter_2]) ).

thf(zip_derived_cl3,plain,
    ~ ( m2_filter_2 @ ( u1_struct_0 @ sk_ ) @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl980,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( m1_filter_2 @ ( u1_struct_0 @ sk_ ) @ ( k1_lattice2 @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl143,zip_derived_cl3]) ).

thf(zip_derived_cl0,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1667,plain,
    ~ ( m1_filter_2 @ ( u1_struct_0 @ sk_ ) @ ( k1_lattice2 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl980,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl25651,plain,
    ( ~ ( l3_lattices @ sk_ )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25645,zip_derived_cl1667]) ).

thf(zip_derived_cl2_007,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25666,plain,
    ( ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl25651,zip_derived_cl2]) ).

thf(zip_derived_cl25667,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl25666]) ).

thf(zip_derived_cl0_008,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_009,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_010,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25670,plain,
    v3_struct_0 @ ( k1_lattice2 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl25667,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(fc1_lattice2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l3_lattices @ A ) )
     => ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
        & ( v3_lattices @ ( k1_lattice2 @ A ) ) ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[fc1_lattice2]) ).

thf(zip_derived_cl25676,plain,
    ( ~ ( l3_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25670,zip_derived_cl61]) ).

thf(zip_derived_cl2_011,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_012,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25683,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl25676,zip_derived_cl2,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : LAT304+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.x3c5f7AUKd true
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug 24 07:49:39 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 59.10/9.05  % Solved by fo/fo6_bce.sh.
% 59.10/9.05  % BCE start: 153
% 59.10/9.05  % BCE eliminated: 10
% 59.10/9.05  % PE start: 143
% 59.10/9.05  logic: eq
% 59.10/9.05  % PE eliminated: -9
% 59.10/9.05  % done 4918 iterations in 8.314s
% 59.10/9.05  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 59.10/9.05  % SZS output start Refutation
% See solution above
% 59.10/9.05  
% 59.10/9.05  
% 59.10/9.05  % Terminating...
% 59.10/9.13  % Runner terminated.
% 59.10/9.14  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------