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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV380+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QvgExXF9z5 true

% Computer : n007.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 Oct  2 05:00:57 PM UTC 2025

% Result   : Theorem 4.67s 1.30s
% Output   : Refutation 4.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   67 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :  144 (  73 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  710 (  41   ~;  62   |;   6   &; 592   @)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   7 con; 0-3 aty)
%            Number of variables   :  129 (   0   ^; 129   !;   0   ?; 129   :)

% Comments : 
%------------------------------------------------------------------------------
thf(strictly_less_than_type,type,
    strictly_less_than: $i > $i > $o ).

thf(findmin_pqp_res_type,type,
    findmin_pqp_res: $i > $i ).

thf(create_slb_type,type,
    create_slb: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(findmin_cpq_res_type,type,
    findmin_cpq_res: $i > $i ).

thf(findmin_cpq_eff_type,type,
    findmin_cpq_eff: $i > $i ).

thf(less_than_type,type,
    less_than: $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(bad_type,type,
    bad: $i ).

thf(update_slb_type,type,
    update_slb: $i > $i > $i ).

thf(remove_cpq_type,type,
    remove_cpq: $i > $i > $i ).

thf(ok_type,type,
    ok: $i > $o ).

thf(triple_type,type,
    triple: $i > $i > $i > $i ).

thf(bottom_type,type,
    bottom: $i ).

thf(removemin_cpq_eff_type,type,
    removemin_cpq_eff: $i > $i ).

thf(lookup_slb_type,type,
    lookup_slb: $i > $i > $i ).

thf(contains_slb_type,type,
    contains_slb: $i > $i > $o ).

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

thf(l16_co,conjecture,
    ! [U: $i,V: $i,W: $i] :
      ( ~ ( ok @ ( triple @ U @ V @ W ) )
     => ~ ( ok @ ( removemin_cpq_eff @ ( triple @ U @ V @ W ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i] :
        ( ~ ( ok @ ( triple @ U @ V @ W ) )
       => ~ ( ok @ ( removemin_cpq_eff @ ( triple @ U @ V @ W ) ) ) ),
    inference('cnf.neg',[status(esa)],[l16_co]) ).

thf(zip_derived_cl52,plain,
    ok @ ( removemin_cpq_eff @ ( triple @ sk_ @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax41,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ~ ( ok @ ( triple @ U @ V @ W ) )
     => ( W = bad ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = bad )
      | ( ok @ ( triple @ X1 @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax41]) ).

thf(zip_derived_cl51,plain,
    ~ ( ok @ ( triple @ sk_ @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl220,plain,
    sk__2 = bad,
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl51]) ).

thf(zip_derived_cl224,plain,
    ok @ ( removemin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) ),
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl220]) ).

thf(ax51,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( V != create_slb )
     => ( ( findmin_cpq_res @ ( triple @ U @ V @ W ) )
        = ( findmin_pqp_res @ U ) ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) )
        = ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb ) ),
    inference(cnf,[status(esa)],[ax51]) ).

thf(ax52,axiom,
    ! [U: $i] :
      ( ( removemin_cpq_eff @ U )
      = ( remove_cpq @ ( findmin_cpq_eff @ U ) @ ( findmin_cpq_res @ U ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ( removemin_cpq_eff @ X0 )
      = ( remove_cpq @ ( findmin_cpq_eff @ X0 ) @ ( findmin_cpq_res @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax52]) ).

thf(zip_derived_cl231,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = create_slb )
      | ( ( removemin_cpq_eff @ ( triple @ X0 @ X2 @ X1 ) )
        = ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ X0 @ X2 @ X1 ) ) @ ( findmin_pqp_res @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl47,zip_derived_cl48]) ).

thf(stricly_smaller_definition,axiom,
    ! [U: $i,V: $i] :
      ( ( strictly_less_than @ U @ V )
    <=> ( ( less_than @ U @ V )
        & ~ ( less_than @ V @ U ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( strictly_less_than @ X0 @ X1 )
      | ( less_than @ X1 @ X0 )
      | ~ ( less_than @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[stricly_smaller_definition]) ).

thf(ax48,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( ( V != create_slb )
        & ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
        & ( strictly_less_than @ ( findmin_pqp_res @ U ) @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) ) )
     => ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
        = ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
        = ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) )
      | ~ ( strictly_less_than @ ( findmin_pqp_res @ X0 ) @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) )
      | ~ ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb ) ),
    inference(cnf,[status(esa)],[ax48]) ).

thf(zip_derived_cl210,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( less_than @ ( findmin_pqp_res @ X0 ) @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) )
      | ( less_than @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb )
      | ~ ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
      | ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
        = ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl44]) ).

thf(totality,axiom,
    ! [U: $i,V: $i] :
      ( ( less_than @ V @ U )
      | ( less_than @ U @ V ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( less_than @ X0 @ X1 )
      | ( less_than @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[totality]) ).

thf(zip_derived_cl469,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
        = ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) )
      | ~ ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb )
      | ( less_than @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ ( findmin_pqp_res @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl210,zip_derived_cl1]) ).

thf(ax47,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( ( V != create_slb )
        & ~ ( contains_slb @ V @ ( findmin_pqp_res @ U ) ) )
     => ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
        = ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
        = ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) )
      | ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb ) ),
    inference(cnf,[status(esa)],[ax47]) ).

thf(zip_derived_cl470,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( less_than @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb )
      | ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
        = ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl469,zip_derived_cl43]) ).

thf(zip_derived_cl224_001,plain,
    ok @ ( removemin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) ),
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl220]) ).

thf(zip_derived_cl48_002,plain,
    ! [X0: $i] :
      ( ( removemin_cpq_eff @ X0 )
      = ( remove_cpq @ ( findmin_cpq_eff @ X0 ) @ ( findmin_cpq_res @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax52]) ).

thf(zip_derived_cl43_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
        = ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) )
      | ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb ) ),
    inference(cnf,[status(esa)],[ax47]) ).

thf(l16_l14,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ~ ( ok @ ( triple @ U @ V @ W ) )
     => ~ ( ok @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ok @ ( triple @ X0 @ X1 @ X2 ) )
      | ~ ( ok @ ( remove_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 ) ) ),
    inference(cnf,[status(esa)],[l16_l14]) ).

thf(zip_derived_cl304,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = create_slb )
      | ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
      | ( ok @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) )
      | ~ ( ok @ ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl50]) ).

thf(zip_derived_cl43_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
        = ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) )
      | ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb ) ),
    inference(cnf,[status(esa)],[ax47]) ).

thf(ax40,axiom,
    ! [U: $i,V: $i] :
      ~ ( ok @ ( triple @ U @ V @ bad ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
    inference(cnf,[status(esa)],[ax40]) ).

thf(zip_derived_cl309,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = create_slb )
      | ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
      | ~ ( ok @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl36]) ).

thf(zip_derived_cl1228,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ok @ ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) @ X3 ) )
      | ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
      | ( X1 = create_slb ) ),
    inference(clc,[status(thm)],[zip_derived_cl304,zip_derived_cl309]) ).

thf(zip_derived_cl1231,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ok @ ( removemin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) )
      | ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
      | ( X1 = create_slb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl1228]) ).

thf(zip_derived_cl1278,plain,
    ( ( contains_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) )
    | ( sk__1 = create_slb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl1231]) ).

thf(ax49,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( ( V != create_slb )
        & ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
        & ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) ) )
     => ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
        = ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ W ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
        = ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ X2 ) )
      | ~ ( less_than @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ ( findmin_pqp_res @ X0 ) )
      | ~ ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb ) ),
    inference(cnf,[status(esa)],[ax49]) ).

thf(zip_derived_cl1291,plain,
    ! [X0: $i] :
      ( ( sk__1 = create_slb )
      | ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X0 ) )
        = ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ X0 ) )
      | ~ ( less_than @ ( lookup_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ ( findmin_pqp_res @ sk_ ) )
      | ( sk__1 = create_slb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1278,zip_derived_cl45]) ).

thf(zip_derived_cl1292,plain,
    ! [X0: $i] :
      ( ~ ( less_than @ ( lookup_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ ( findmin_pqp_res @ sk_ ) )
      | ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X0 ) )
        = ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ X0 ) )
      | ( sk__1 = create_slb ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1291]) ).

thf(zip_derived_cl1323,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X0 ) )
        = ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ bad ) )
      | ( sk__1 = create_slb )
      | ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X1 ) )
        = ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ X1 ) )
      | ( sk__1 = create_slb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl1292]) ).

thf(zip_derived_cl1324,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X1 ) )
        = ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ X1 ) )
      | ( sk__1 = create_slb )
      | ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X0 ) )
        = ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ bad ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1323]) ).

thf(zip_derived_cl1815,plain,
    ! [X0: $i] :
      ( ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) )
       != ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X0 ) ) )
      | ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X0 ) )
        = ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ bad ) )
      | ( sk__1 = create_slb ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1324]) ).

thf(zip_derived_cl1864,plain,
    ( ( sk__1 = create_slb )
    | ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) )
      = ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ bad ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1815]) ).

thf(zip_derived_cl50_005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ok @ ( triple @ X0 @ X1 @ X2 ) )
      | ~ ( ok @ ( remove_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 ) ) ),
    inference(cnf,[status(esa)],[l16_l14]) ).

thf(zip_derived_cl1904,plain,
    ! [X0: $i] :
      ( ( sk__1 = create_slb )
      | ( ok @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) ) )
      | ~ ( ok @ ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl50]) ).

thf(zip_derived_cl1864_006,plain,
    ( ( sk__1 = create_slb )
    | ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) )
      = ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ bad ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1815]) ).

thf(zip_derived_cl36_007,plain,
    ! [X0: $i,X1: $i] :
      ~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
    inference(cnf,[status(esa)],[ax40]) ).

thf(zip_derived_cl1940,plain,
    ( ( sk__1 = create_slb )
    | ~ ( ok @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1864,zip_derived_cl36]) ).

thf(zip_derived_cl2509,plain,
    ! [X0: $i] :
      ( ~ ( ok @ ( remove_cpq @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) ) @ X0 ) )
      | ( sk__1 = create_slb ) ),
    inference(clc,[status(thm)],[zip_derived_cl1904,zip_derived_cl1940]) ).

thf(zip_derived_cl2512,plain,
    ( ( sk__1 = create_slb )
    | ~ ( ok @ ( removemin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) ) )
    | ( sk__1 = create_slb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl231,zip_derived_cl2509]) ).

thf(zip_derived_cl224_008,plain,
    ok @ ( removemin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) ),
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl220]) ).

thf(zip_derived_cl2518,plain,
    ( ( sk__1 = create_slb )
    | ( sk__1 = create_slb ) ),
    inference(demod,[status(thm)],[zip_derived_cl2512,zip_derived_cl224]) ).

thf(zip_derived_cl2519,plain,
    sk__1 = create_slb,
    inference(simplify,[status(thm)],[zip_derived_cl2518]) ).

thf(ax46,axiom,
    ! [U: $i,V: $i] :
      ( ( findmin_cpq_eff @ ( triple @ U @ create_slb @ V ) )
      = ( triple @ U @ create_slb @ bad ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ( findmin_cpq_eff @ ( triple @ X0 @ create_slb @ X1 ) )
      = ( triple @ X0 @ create_slb @ bad ) ),
    inference(cnf,[status(esa)],[ax46]) ).

thf(zip_derived_cl48_009,plain,
    ! [X0: $i] :
      ( ( removemin_cpq_eff @ X0 )
      = ( remove_cpq @ ( findmin_cpq_eff @ X0 ) @ ( findmin_cpq_res @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax52]) ).

thf(zip_derived_cl229,plain,
    ! [X0: $i,X1: $i] :
      ( ( removemin_cpq_eff @ ( triple @ X0 @ create_slb @ X1 ) )
      = ( remove_cpq @ ( triple @ X0 @ create_slb @ bad ) @ ( findmin_cpq_res @ ( triple @ X0 @ create_slb @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl48]) ).

thf(ax50,axiom,
    ! [U: $i,V: $i] :
      ( ( findmin_cpq_res @ ( triple @ U @ create_slb @ V ) )
      = bottom ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ( findmin_cpq_res @ ( triple @ X0 @ create_slb @ X1 ) )
      = bottom ),
    inference(cnf,[status(esa)],[ax50]) ).

thf(zip_derived_cl230,plain,
    ! [X0: $i,X1: $i] :
      ( ( removemin_cpq_eff @ ( triple @ X0 @ create_slb @ X1 ) )
      = ( remove_cpq @ ( triple @ X0 @ create_slb @ bad ) @ bottom ) ),
    inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl46]) ).

thf(zip_derived_cl2523,plain,
    ok @ ( remove_cpq @ ( triple @ sk_ @ create_slb @ bad ) @ bottom ),
    inference(demod,[status(thm)],[zip_derived_cl224,zip_derived_cl2519,zip_derived_cl230]) ).

thf(zip_derived_cl50_010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ok @ ( triple @ X0 @ X1 @ X2 ) )
      | ~ ( ok @ ( remove_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 ) ) ),
    inference(cnf,[status(esa)],[l16_l14]) ).

thf(zip_derived_cl2533,plain,
    ok @ ( triple @ sk_ @ create_slb @ bad ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2523,zip_derived_cl50]) ).

thf(zip_derived_cl36_011,plain,
    ! [X0: $i,X1: $i] :
      ~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
    inference(cnf,[status(esa)],[ax40]) ).

thf(zip_derived_cl2542,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl2533,zip_derived_cl36]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV380+1 : TPTP v9.2.0. Released v3.3.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QvgExXF9z5 true
% 0.14/0.34  % Computer : n007.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 : Wed Oct  1 12:52:08 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.56/0.63  % Total configuration time : 435
% 0.56/0.63  % Estimated wc time : 1092
% 0.56/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 4.67/1.30  % Solved by fo/fo6_bce.sh.
% 4.67/1.30  % BCE start: 53
% 4.67/1.30  % BCE eliminated: 0
% 4.67/1.30  % PE start: 53
% 4.67/1.30  logic: eq
% 4.67/1.30  % PE eliminated: 5
% 4.67/1.30  % done 283 iterations in 0.581s
% 4.67/1.30  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.67/1.30  % SZS output start Refutation
% See solution above
% 4.67/1.30  
% 4.67/1.30  
% 4.67/1.30  % Terminating...
% 5.29/1.35  % Runner terminated.
% 5.29/1.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------