TSTP Solution File: SEU350+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU350+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.83wsjpuQX7 true

% Computer : n031.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 19:12:19 EDT 2023

% Result   : Theorem 1.54s 0.86s
% Output   : Refutation 1.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   72 (  26 unt;  13 typ;   0 def)
%            Number of atoms       :  171 (   6 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  688 (  94   ~;  85   |;  13   &; 482   @)
%                                         (   3 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :   31 (   0   ^;  31   !;   0   ?;  31   :)

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

thf(relstr_set_smaller_type,type,
    relstr_set_smaller: $i > $i > $i > $o ).

thf(cast_to_el_of_lattice_type,type,
    cast_to_el_of_lattice: $i > $i > $i ).

thf(poset_of_lattice_type,type,
    poset_of_lattice: $i > $i ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(empty_carrier_type,type,
    empty_carrier: $i > $o ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(lattice_type,type,
    lattice: $i > $o ).

thf(latt_str_type,type,
    latt_str: $i > $o ).

thf(cast_to_el_of_LattPOSet_type,type,
    cast_to_el_of_LattPOSet: $i > $i > $i ).

thf(latt_element_smaller_type,type,
    latt_element_smaller: $i > $i > $i > $o ).

thf(the_carrier_type,type,
    the_carrier: $i > $i ).

thf(dt_k5_lattice3,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( lattice @ A )
        & ( latt_str @ A )
        & ( element @ B @ ( the_carrier @ ( poset_of_lattice @ A ) ) ) )
     => ( element @ ( cast_to_el_of_lattice @ A @ B ) @ ( the_carrier @ A ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( latt_str @ X0 )
      | ~ ( lattice @ X0 )
      | ( empty_carrier @ X0 )
      | ~ ( element @ X1 @ ( the_carrier @ ( poset_of_lattice @ X0 ) ) )
      | ( element @ ( cast_to_el_of_lattice @ X0 @ X1 ) @ ( the_carrier @ X0 ) ) ),
    inference(cnf,[status(esa)],[dt_k5_lattice3]) ).

thf(d4_lattice3,axiom,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( lattice @ A )
        & ( latt_str @ A ) )
     => ! [B: $i] :
          ( ( element @ B @ ( the_carrier @ ( poset_of_lattice @ A ) ) )
         => ( ( cast_to_el_of_lattice @ A @ B )
            = B ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ ( poset_of_lattice @ X1 ) ) )
      | ( ( cast_to_el_of_lattice @ X1 @ X0 )
        = X0 )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[d4_lattice3]) ).

thf(d3_lattice3,axiom,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( lattice @ A )
        & ( latt_str @ A ) )
     => ! [B: $i] :
          ( ( element @ B @ ( the_carrier @ A ) )
         => ( ( cast_to_el_of_LattPOSet @ A @ B )
            = B ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
      | ( ( cast_to_el_of_LattPOSet @ X1 @ X0 )
        = X0 )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[d3_lattice3]) ).

thf(t31_lattice3,conjecture,
    ! [A: $i,B: $i] :
      ( ( ~ ( empty_carrier @ B )
        & ( lattice @ B )
        & ( latt_str @ B ) )
     => ! [C: $i] :
          ( ( element @ C @ ( the_carrier @ ( poset_of_lattice @ B ) ) )
         => ( ( relstr_set_smaller @ ( poset_of_lattice @ B ) @ A @ C )
          <=> ( latt_element_smaller @ B @ ( cast_to_el_of_lattice @ B @ C ) @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ~ ( empty_carrier @ B )
          & ( lattice @ B )
          & ( latt_str @ B ) )
       => ! [C: $i] :
            ( ( element @ C @ ( the_carrier @ ( poset_of_lattice @ B ) ) )
           => ( ( relstr_set_smaller @ ( poset_of_lattice @ B ) @ A @ C )
            <=> ( latt_element_smaller @ B @ ( cast_to_el_of_lattice @ B @ C ) @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t31_lattice3]) ).

thf(zip_derived_cl82,plain,
    ( ( latt_element_smaller @ sk__14 @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ sk__13 )
    | ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t30_lattice3,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( empty_carrier @ B )
        & ( lattice @ B )
        & ( latt_str @ B ) )
     => ! [C: $i] :
          ( ( element @ C @ ( the_carrier @ B ) )
         => ( ( latt_element_smaller @ B @ C @ A )
          <=> ( relstr_set_smaller @ ( poset_of_lattice @ B ) @ A @ ( cast_to_el_of_LattPOSet @ B @ C ) ) ) ) ) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
      | ~ ( latt_element_smaller @ X1 @ X0 @ X2 )
      | ( relstr_set_smaller @ ( poset_of_lattice @ X1 ) @ X2 @ ( cast_to_el_of_LattPOSet @ X1 @ X0 ) )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[t30_lattice3]) ).

thf(zip_derived_cl535,plain,
    ( ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 )
    | ( empty_carrier @ sk__14 )
    | ~ ( lattice @ sk__14 )
    | ~ ( latt_str @ sk__14 )
    | ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ ( cast_to_el_of_LattPOSet @ sk__14 @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) ) )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl82,zip_derived_cl73]) ).

thf(zip_derived_cl79,plain,
    ~ ( empty_carrier @ sk__14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80,plain,
    lattice @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81,plain,
    latt_str @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1432,plain,
    ( ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 )
    | ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ ( cast_to_el_of_LattPOSet @ sk__14 @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) ) )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl535,zip_derived_cl79,zip_derived_cl80,zip_derived_cl81]) ).

thf(zip_derived_cl5_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ ( poset_of_lattice @ X1 ) ) )
      | ( ( cast_to_el_of_lattice @ X1 @ X0 )
        = X0 )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[d4_lattice3]) ).

thf(zip_derived_cl4_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
      | ( ( cast_to_el_of_LattPOSet @ X1 @ X0 )
        = X0 )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[d3_lattice3]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
      | ~ ( relstr_set_smaller @ ( poset_of_lattice @ X1 ) @ X2 @ ( cast_to_el_of_LattPOSet @ X1 @ X0 ) )
      | ( latt_element_smaller @ X1 @ X0 @ X2 )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[t30_lattice3]) ).

thf(zip_derived_cl83,plain,
    ( ~ ( latt_element_smaller @ sk__14 @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ sk__13 )
    | ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl534,plain,
    ( ( empty_carrier @ sk__14 )
    | ~ ( lattice @ sk__14 )
    | ~ ( latt_str @ sk__14 )
    | ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ ( cast_to_el_of_LattPOSet @ sk__14 @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) ) )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) )
    | ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl74,zip_derived_cl83]) ).

thf(zip_derived_cl79_003,plain,
    ~ ( empty_carrier @ sk__14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_004,plain,
    lattice @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_005,plain,
    latt_str @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1419,plain,
    ( ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ ( cast_to_el_of_LattPOSet @ sk__14 @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) ) )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) )
    | ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl534,zip_derived_cl79,zip_derived_cl80,zip_derived_cl81]) ).

thf(zip_derived_cl1420,plain,
    ( ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) )
    | ( empty_carrier @ sk__14 )
    | ~ ( lattice @ sk__14 )
    | ~ ( latt_str @ sk__14 )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) )
    | ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1419]) ).

thf(zip_derived_cl79_006,plain,
    ~ ( empty_carrier @ sk__14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_007,plain,
    lattice @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_008,plain,
    latt_str @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1422,plain,
    ( ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) )
    | ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1420,zip_derived_cl79,zip_derived_cl80,zip_derived_cl81]) ).

thf(zip_derived_cl1423,plain,
    ( ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) )
    | ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1422]) ).

thf(zip_derived_cl1426,plain,
    ( ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 )
    | ( empty_carrier @ sk__14 )
    | ~ ( lattice @ sk__14 )
    | ~ ( latt_str @ sk__14 )
    | ~ ( element @ sk__15 @ ( the_carrier @ ( poset_of_lattice @ sk__14 ) ) )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) )
    | ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1423]) ).

thf(zip_derived_cl79_009,plain,
    ~ ( empty_carrier @ sk__14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_010,plain,
    lattice @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_011,plain,
    latt_str @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84,plain,
    element @ sk__15 @ ( the_carrier @ ( poset_of_lattice @ sk__14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1427,plain,
    ( ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) )
    | ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1426,zip_derived_cl79,zip_derived_cl80,zip_derived_cl81,zip_derived_cl84]) ).

thf(zip_derived_cl1428,plain,
    ( ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) )
    | ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1427]) ).

thf(zip_derived_cl1433,plain,
    ( ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) )
    | ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ ( cast_to_el_of_LattPOSet @ sk__14 @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1432,zip_derived_cl1428]) ).

thf(zip_derived_cl1434,plain,
    ( ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) )
    | ( empty_carrier @ sk__14 )
    | ~ ( lattice @ sk__14 )
    | ~ ( latt_str @ sk__14 )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl1433]) ).

thf(zip_derived_cl79_012,plain,
    ~ ( empty_carrier @ sk__14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_013,plain,
    lattice @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_014,plain,
    latt_str @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1436,plain,
    ( ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1434,zip_derived_cl79,zip_derived_cl80,zip_derived_cl81]) ).

thf(zip_derived_cl1437,plain,
    ( ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) )
    | ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1436]) ).

thf(zip_derived_cl1447,plain,
    ( ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 )
    | ( empty_carrier @ sk__14 )
    | ~ ( lattice @ sk__14 )
    | ~ ( latt_str @ sk__14 )
    | ~ ( element @ sk__15 @ ( the_carrier @ ( poset_of_lattice @ sk__14 ) ) )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl1437]) ).

thf(zip_derived_cl79_015,plain,
    ~ ( empty_carrier @ sk__14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_016,plain,
    lattice @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_017,plain,
    latt_str @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84_018,plain,
    element @ sk__15 @ ( the_carrier @ ( poset_of_lattice @ sk__14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1448,plain,
    ( ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 )
    | ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1447,zip_derived_cl79,zip_derived_cl80,zip_derived_cl81,zip_derived_cl84]) ).

thf(zip_derived_cl1428_019,plain,
    ( ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) )
    | ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__14 ) @ sk__13 @ sk__15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1427]) ).

thf(zip_derived_cl1449,plain,
    ~ ( element @ ( cast_to_el_of_lattice @ sk__14 @ sk__15 ) @ ( the_carrier @ sk__14 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1448,zip_derived_cl1428]) ).

thf(zip_derived_cl1457,plain,
    ( ~ ( element @ sk__15 @ ( the_carrier @ ( poset_of_lattice @ sk__14 ) ) )
    | ( empty_carrier @ sk__14 )
    | ~ ( lattice @ sk__14 )
    | ~ ( latt_str @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1449]) ).

thf(zip_derived_cl84_020,plain,
    element @ sk__15 @ ( the_carrier @ ( poset_of_lattice @ sk__14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl79_021,plain,
    ~ ( empty_carrier @ sk__14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_022,plain,
    lattice @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_023,plain,
    latt_str @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1459,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1457,zip_derived_cl84,zip_derived_cl79,zip_derived_cl80,zip_derived_cl81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU350+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.83wsjpuQX7 true
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Aug 23 16:47:20 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
% 0.14/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.54/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.54/0.86  % Solved by fo/fo3_bce.sh.
% 1.54/0.86  % BCE start: 85
% 1.54/0.86  % BCE eliminated: 4
% 1.54/0.86  % PE start: 81
% 1.54/0.86  logic: eq
% 1.54/0.86  % PE eliminated: -20
% 1.54/0.86  % done 118 iterations in 0.095s
% 1.54/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.54/0.86  % SZS output start Refutation
% See solution above
% 1.78/0.86  
% 1.78/0.86  
% 1.78/0.86  % Terminating...
% 1.78/0.95  % Runner terminated.
% 1.78/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------