TSTP Solution File: LAT346+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT346+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RCvVffKFzb true

% Computer : n029.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 06:47:10 EDT 2023

% Result   : Theorem 6.94s 1.69s
% Output   : Refutation 6.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   89 (  15 unt;  25 typ;   0 def)
%            Number of atoms       :  296 (   5 equ;   0 cnn)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives : 1001 ( 144   ~; 171   |;  46   &; 625   @)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   29 (  29   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;   2 con; 0-3 aty)
%            Number of variables   :   40 (   0   ^;  39   !;   1   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v3_conlat_1_type,type,
    v3_conlat_1: $i > $o ).

thf(v4_lattice3_type,type,
    v4_lattice3: $i > $o ).

thf(v3_lattice4_type,type,
    v3_lattice4: $i > $i > $i > $o ).

thf(r1_filter_1_type,type,
    r1_filter_1: $i > $i > $o ).

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

thf(v4_conlat_1_type,type,
    v4_conlat_1: $i > $o ).

thf(k10_conlat_2_type,type,
    k10_conlat_2: $i > $i ).

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

thf(l2_conlat_1_type,type,
    l2_conlat_1: $i > $o ).

thf(m1_lattice4_type,type,
    m1_lattice4: $i > $i > $i > $o ).

thf(v13_lattices_type,type,
    v13_lattices: $i > $o ).

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

thf(v14_lattices_type,type,
    v14_lattices: $i > $o ).

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

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

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

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

thf(v15_lattices_type,type,
    v15_lattices: $i > $o ).

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

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

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

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

thf(k7_conlat_2_type,type,
    k7_conlat_2: $i > $i ).

thf(k11_conlat_1_type,type,
    k11_conlat_1: $i > $i ).

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

thf(dt_k7_conlat_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_conlat_1 @ A )
        & ( l2_conlat_1 @ A ) )
     => ( ~ ( v3_conlat_1 @ ( k7_conlat_2 @ A ) )
        & ( v4_conlat_1 @ ( k7_conlat_2 @ A ) )
        & ( l2_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ~ ( v3_conlat_1 @ ( k7_conlat_2 @ X0 ) )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_conlat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k7_conlat_2]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ( l2_conlat_1 @ ( k7_conlat_2 @ X0 ) )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_conlat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k7_conlat_2]) ).

thf(dt_k11_conlat_1,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_conlat_1 @ A )
        & ( l2_conlat_1 @ A ) )
     => ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) )
        & ( v3_lattices @ ( k11_conlat_1 @ A ) )
        & ( l3_lattices @ ( k11_conlat_1 @ A ) ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k11_conlat_1 @ X0 ) )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_conlat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k11_conlat_1]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ X0 ) )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_conlat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k11_conlat_1]) ).

thf(fc1_conlat_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_conlat_1 @ A )
        & ( l2_conlat_1 @ A ) )
     => ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) )
        & ( v3_lattices @ ( k11_conlat_1 @ A ) )
        & ( v4_lattices @ ( k11_conlat_1 @ A ) )
        & ( v5_lattices @ ( k11_conlat_1 @ A ) )
        & ( v6_lattices @ ( k11_conlat_1 @ A ) )
        & ( v7_lattices @ ( k11_conlat_1 @ A ) )
        & ( v8_lattices @ ( k11_conlat_1 @ A ) )
        & ( v9_lattices @ ( k11_conlat_1 @ A ) )
        & ( v10_lattices @ ( k11_conlat_1 @ A ) )
        & ( v13_lattices @ ( k11_conlat_1 @ A ) )
        & ( v14_lattices @ ( k11_conlat_1 @ A ) )
        & ( v15_lattices @ ( k11_conlat_1 @ A ) )
        & ( v4_lattice3 @ ( k11_conlat_1 @ A ) ) ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i] :
      ( ( v10_lattices @ ( k11_conlat_1 @ X0 ) )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_conlat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc1_conlat_2]) ).

thf(t22_conlat_2,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_conlat_1 @ A )
        & ( l2_conlat_1 @ A ) )
     => ( r1_filter_1 @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_conlat_1 @ A )
          & ( l2_conlat_1 @ A ) )
       => ( r1_filter_1 @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t22_conlat_2]) ).

thf(zip_derived_cl167,plain,
    ~ ( r1_filter_1 @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) @ ( k1_lattice2 @ ( k11_conlat_1 @ sk__19 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k10_conlat_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_conlat_1 @ A )
        & ( l2_conlat_1 @ A ) )
     => ( m1_lattice4 @ ( k10_conlat_2 @ A ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( m1_lattice4 @ ( k10_conlat_2 @ X0 ) @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_conlat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k10_conlat_2]) ).

thf(t21_conlat_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_conlat_1 @ A )
        & ( l2_conlat_1 @ A ) )
     => ( v3_lattice4 @ ( k10_conlat_2 @ A ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ) ).

thf(zip_derived_cl160,plain,
    ! [X0: $i] :
      ( ( v3_lattice4 @ ( k10_conlat_2 @ X0 ) @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_conlat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[t21_conlat_2]) ).

thf(d5_lattice4,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( ( r1_filter_1 @ A @ B )
          <=> ? [C: $i] :
                ( ( v3_lattice4 @ C @ A @ B )
                & ( m1_lattice4 @ C @ A @ B ) ) ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v3_lattice4 @ X1 @ X2 @ X0 )
      | ~ ( m1_lattice4 @ X1 @ X2 @ X0 )
      | ( r1_filter_1 @ X2 @ X0 )
      | ~ ( l3_lattices @ X2 )
      | ~ ( v10_lattices @ X2 )
      | ( v3_struct_0 @ X2 ) ),
    inference(cnf,[status(esa)],[d5_lattice4]) ).

thf(zip_derived_cl987,plain,
    ! [X0: $i] :
      ( ( v3_conlat_1 @ X0 )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_struct_0 @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ( r1_filter_1 @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( m1_lattice4 @ ( k10_conlat_2 @ X0 ) @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( l3_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( v10_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl160,zip_derived_cl25]) ).

thf(zip_derived_cl1021,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k10_conlat_2 @ X0 )
       != ( k10_conlat_2 @ X1 ) )
      | ( ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) )
       != ( k1_lattice2 @ ( k11_conlat_1 @ X1 ) ) )
      | ( ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) )
       != ( k11_conlat_1 @ ( k7_conlat_2 @ X1 ) ) )
      | ( v3_conlat_1 @ X0 )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ X1 ) ) )
      | ~ ( v10_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X1 ) ) )
      | ~ ( l3_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X1 ) ) )
      | ( r1_filter_1 @ ( k1_lattice2 @ ( k11_conlat_1 @ X1 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ X1 ) ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X1 ) ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X1 ) ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ ( k11_conlat_1 @ X1 ) ) )
      | ~ ( l2_conlat_1 @ X1 )
      | ( v3_conlat_1 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl987]) ).

thf(zip_derived_cl1921,plain,
    ! [X0: $i] :
      ( ( v3_conlat_1 @ X0 )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_struct_0 @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ( r1_filter_1 @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( l3_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( v10_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_conlat_1 @ X0 )
      | ( ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) )
       != ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ( ( k10_conlat_2 @ X0 )
       != ( k10_conlat_2 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1021]) ).

thf(zip_derived_cl1922,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( v10_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( l3_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ( r1_filter_1 @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_conlat_1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1921]) ).

thf(symmetry_r1_filter_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ~ ( v3_struct_0 @ B )
        & ( v10_lattices @ B )
        & ( l3_lattices @ B ) )
     => ( ( r1_filter_1 @ A @ B )
       => ( r1_filter_1 @ B @ A ) ) ) ).

thf(zip_derived_cl158,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( v3_struct_0 @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ( r1_filter_1 @ X1 @ X0 )
      | ~ ( r1_filter_1 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_r1_filter_1]) ).

thf(zip_derived_cl2337,plain,
    ! [X0: $i] :
      ( ( v3_conlat_1 @ X0 )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_struct_0 @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( l3_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( v10_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ( r1_filter_1 @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( l3_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( v10_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1922,zip_derived_cl158]) ).

thf(zip_derived_cl2338,plain,
    ! [X0: $i] :
      ( ( r1_filter_1 @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( v10_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( l3_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ X0 ) ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ ( k11_conlat_1 @ X0 ) ) )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_conlat_1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2337]) ).

thf(zip_derived_cl6462,plain,
    ( ( v3_conlat_1 @ sk__19 )
    | ~ ( l2_conlat_1 @ sk__19 )
    | ( v3_struct_0 @ ( k1_lattice2 @ ( k11_conlat_1 @ sk__19 ) ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ sk__19 ) ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ sk__19 ) ) )
    | ~ ( l3_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ~ ( v10_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl2338]) ).

thf(zip_derived_cl165,plain,
    ~ ( v3_conlat_1 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl166,plain,
    l2_conlat_1 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6463,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ ( k11_conlat_1 @ sk__19 ) ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ sk__19 ) ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ sk__19 ) ) )
    | ~ ( l3_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ~ ( v10_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6462,zip_derived_cl165,zip_derived_cl166]) ).

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_cl106,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(zip_derived_cl6466,plain,
    ( ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ~ ( v10_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ~ ( l3_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ ( k11_conlat_1 @ sk__19 ) ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ ( k11_conlat_1 @ sk__19 ) ) )
    | ( v3_struct_0 @ ( k11_conlat_1 @ sk__19 ) )
    | ~ ( v10_lattices @ ( k11_conlat_1 @ sk__19 ) )
    | ~ ( l3_lattices @ ( k11_conlat_1 @ sk__19 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6463,zip_derived_cl106]) ).

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

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_lattice2]) ).

thf(zip_derived_cl6468,plain,
    ( ~ ( l3_lattices @ ( k11_conlat_1 @ sk__19 ) )
    | ~ ( v10_lattices @ ( k11_conlat_1 @ sk__19 ) )
    | ( v3_struct_0 @ ( k11_conlat_1 @ sk__19 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ ( k11_conlat_1 @ sk__19 ) ) )
    | ~ ( l3_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ~ ( v10_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6466,zip_derived_cl34]) ).

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_cl64,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_cl6469,plain,
    ( ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ~ ( v10_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ~ ( l3_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ( v3_struct_0 @ ( k11_conlat_1 @ sk__19 ) )
    | ~ ( v10_lattices @ ( k11_conlat_1 @ sk__19 ) )
    | ~ ( l3_lattices @ ( k11_conlat_1 @ sk__19 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6468,zip_derived_cl64]) ).

thf(zip_derived_cl59_001,plain,
    ! [X0: $i] :
      ( ( v10_lattices @ ( k11_conlat_1 @ X0 ) )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_conlat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc1_conlat_2]) ).

thf(zip_derived_cl6470,plain,
    ( ~ ( l3_lattices @ ( k11_conlat_1 @ sk__19 ) )
    | ~ ( v10_lattices @ ( k11_conlat_1 @ sk__19 ) )
    | ( v3_struct_0 @ ( k11_conlat_1 @ sk__19 ) )
    | ~ ( l3_lattices @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ( v3_conlat_1 @ ( k7_conlat_2 @ sk__19 ) )
    | ~ ( l2_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6469,zip_derived_cl59]) ).

thf(zip_derived_cl32_002,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k11_conlat_1 @ X0 ) )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_conlat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k11_conlat_1]) ).

thf(zip_derived_cl6472,plain,
    ( ~ ( l2_conlat_1 @ ( k7_conlat_2 @ sk__19 ) )
    | ( v3_conlat_1 @ ( k7_conlat_2 @ sk__19 ) )
    | ( v3_struct_0 @ ( k11_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) )
    | ( v3_struct_0 @ ( k11_conlat_1 @ sk__19 ) )
    | ~ ( v10_lattices @ ( k11_conlat_1 @ sk__19 ) )
    | ~ ( l3_lattices @ ( k11_conlat_1 @ sk__19 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6470,zip_derived_cl32]) ).

thf(zip_derived_cl30_003,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ X0 ) )
      | ~ ( l2_conlat_1 @ X0 )
      | ( v3_conlat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k11_conlat_1]) ).

thf(zip_derived_cl6473,plain,
    ( ~ ( l3_lattices @ ( k11_conlat_1 @ sk__19 ) )
    | ~ ( v10_lattices @ ( k11_conlat_1 @ sk__19 ) )
    | ( v3_struct_0 @ ( k11_conlat_1 @ sk__19 ) )
    | ( v3_conlat_1 @ ( k7_conlat_2 @ sk__19 ) )
    | ~ ( l2_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6472,zip_derived_cl30]) ).

thf(zip_derived_cl6475,plain,
    ( ( v3_conlat_1 @ sk__19 )
    | ~ ( l2_conlat_1 @ sk__19 )
    | ~ ( l2_conlat_1 @ ( k7_conlat_2 @ sk__19 ) )
    | ( v3_conlat_1 @ ( k7_conlat_2 @ sk__19 ) )
    | ( v3_struct_0 @ ( k11_conlat_1 @ sk__19 ) )
    | ~ ( l3_lattices @ ( k11_conlat_1 @ sk__19 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl6473]) ).

thf(zip_derived_cl165_004,plain,
    ~ ( v3_conlat_1 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl166_005,plain,
    l2_conlat_1 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6476,plain,
    ( ~ ( l2_conlat_1 @ ( k7_conlat_2 @ sk__19 ) )
    | ( v3_conlat_1 @ ( k7_conlat_2 @ sk__19 ) )
    | ( v3_struct_0 @ ( k11_conlat_1 @ sk__19 ) )
    | ~ ( l3_lattices @ ( k11_conlat_1 @ sk__19 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6475,zip_derived_cl165,zip_derived_cl166]) ).

thf(zip_derived_cl6479,plain,
    ( ( v3_conlat_1 @ sk__19 )
    | ~ ( l2_conlat_1 @ sk__19 )
    | ~ ( l3_lattices @ ( k11_conlat_1 @ sk__19 ) )
    | ( v3_conlat_1 @ ( k7_conlat_2 @ sk__19 ) )
    | ~ ( l2_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl6476]) ).

thf(zip_derived_cl165_006,plain,
    ~ ( v3_conlat_1 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl166_007,plain,
    l2_conlat_1 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6480,plain,
    ( ~ ( l3_lattices @ ( k11_conlat_1 @ sk__19 ) )
    | ( v3_conlat_1 @ ( k7_conlat_2 @ sk__19 ) )
    | ~ ( l2_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6479,zip_derived_cl165,zip_derived_cl166]) ).

thf(zip_derived_cl6483,plain,
    ( ( v3_conlat_1 @ sk__19 )
    | ~ ( l2_conlat_1 @ sk__19 )
    | ~ ( l2_conlat_1 @ ( k7_conlat_2 @ sk__19 ) )
    | ( v3_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl6480]) ).

thf(zip_derived_cl165_008,plain,
    ~ ( v3_conlat_1 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl166_009,plain,
    l2_conlat_1 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6484,plain,
    ( ~ ( l2_conlat_1 @ ( k7_conlat_2 @ sk__19 ) )
    | ( v3_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6483,zip_derived_cl165,zip_derived_cl166]) ).

thf(zip_derived_cl6487,plain,
    ( ( v3_conlat_1 @ sk__19 )
    | ~ ( l2_conlat_1 @ sk__19 )
    | ( v3_conlat_1 @ ( k7_conlat_2 @ sk__19 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl6484]) ).

thf(zip_derived_cl165_010,plain,
    ~ ( v3_conlat_1 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl166_011,plain,
    l2_conlat_1 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6488,plain,
    v3_conlat_1 @ ( k7_conlat_2 @ sk__19 ),
    inference(demod,[status(thm)],[zip_derived_cl6487,zip_derived_cl165,zip_derived_cl166]) ).

thf(zip_derived_cl6491,plain,
    ( ( v3_conlat_1 @ sk__19 )
    | ~ ( l2_conlat_1 @ sk__19 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl6488]) ).

thf(zip_derived_cl165_012,plain,
    ~ ( v3_conlat_1 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl166_013,plain,
    l2_conlat_1 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6492,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6491,zip_derived_cl165,zip_derived_cl166]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT346+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RCvVffKFzb true
% 0.13/0.35  % Computer : n029.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 : Thu Aug 24 09:48:23 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/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 FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.94/1.69  % Solved by fo/fo3_bce.sh.
% 6.94/1.69  % BCE start: 168
% 6.94/1.69  % BCE eliminated: 32
% 6.94/1.69  % PE start: 136
% 6.94/1.69  logic: eq
% 6.94/1.69  % PE eliminated: 15
% 6.94/1.69  % done 1037 iterations in 0.935s
% 6.94/1.69  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.94/1.69  % SZS output start Refutation
% See solution above
% 6.94/1.69  
% 6.94/1.69  
% 6.94/1.69  % Terminating...
% 7.73/1.77  % Runner terminated.
% 7.73/1.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------