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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV374+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.utwmecBczM true

% Computer : n027.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 0.59s 0.91s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   32 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   76 (  35 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  363 (  25   ~;  31   |;   8   &; 294   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :   62 (   0   ^;  62   !;   0   ?;  62   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

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

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

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

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

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

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

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

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

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

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

thf(l10_co,conjecture,
    ! [U: $i,V: $i,W: $i] :
      ( ( ok @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
     => ( ( V != create_slb )
        & ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
        & ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i] :
        ( ( ok @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
       => ( ( V != create_slb )
          & ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
          & ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) ) ) ),
    inference('cnf.neg',[status(esa)],[l10_co]) ).

thf(zip_derived_cl50,plain,
    ok @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl209,plain,
    ! [X0: $i,X1: $i] :
      ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ sk__2 ) )
     != ( triple @ X1 @ X0 @ bad ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl50,zip_derived_cl36]) ).

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_cl213,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_cl509,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_cl213,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_cl510,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_cl509,zip_derived_cl43]) ).

thf(zip_derived_cl209_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ sk__2 ) )
     != ( triple @ X1 @ X0 @ bad ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl50,zip_derived_cl36]) ).

thf(zip_derived_cl539,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = create_slb )
      | ( less_than @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X2 ) ) @ ( findmin_pqp_res @ X2 ) )
      | ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ sk__2 ) )
       != ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl209]) ).

thf(zip_derived_cl586,plain,
    ( ( less_than @ ( lookup_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ ( findmin_pqp_res @ sk_ ) )
    | ( sk__1 = create_slb ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl539]) ).

thf(zip_derived_cl43_002,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_cl209_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ sk__2 ) )
     != ( triple @ X1 @ X0 @ bad ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl50,zip_derived_cl36]) ).

thf(zip_derived_cl265,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = create_slb )
      | ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
      | ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ sk__2 ) )
       != ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl209]) ).

thf(zip_derived_cl279,plain,
    ( ( contains_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) )
    | ( sk__1 = create_slb ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl265]) ).

thf(zip_derived_cl51,plain,
    ( ( sk__1 = create_slb )
    | ~ ( contains_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) )
    | ~ ( less_than @ ( lookup_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ ( findmin_pqp_res @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl283,plain,
    ( ( sk__1 = create_slb )
    | ( sk__1 = create_slb )
    | ~ ( less_than @ ( lookup_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ ( findmin_pqp_res @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl51]) ).

thf(zip_derived_cl284,plain,
    ( ~ ( less_than @ ( lookup_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ ( findmin_pqp_res @ sk_ ) )
    | ( sk__1 = create_slb ) ),
    inference(simplify,[status(thm)],[zip_derived_cl283]) ).

thf(zip_derived_cl590,plain,
    sk__1 = create_slb,
    inference(clc,[status(thm)],[zip_derived_cl586,zip_derived_cl284]) ).

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_cl591,plain,
    ! [X0: $i,X1: $i] :
      ( ( triple @ sk_ @ create_slb @ bad )
     != ( triple @ X1 @ X0 @ bad ) ),
    inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl590,zip_derived_cl42]) ).

thf(zip_derived_cl603,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl591]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SWV374+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.utwmecBczM true
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 12:39:53 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.91  % Solved by fo/fo6_bce.sh.
% 0.59/0.91  % BCE start: 52
% 0.59/0.91  % BCE eliminated: 0
% 0.59/0.91  % PE start: 52
% 0.59/0.91  logic: eq
% 0.59/0.91  % PE eliminated: 6
% 0.59/0.91  % done 96 iterations in 0.142s
% 0.59/0.91  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.91  % SZS output start Refutation
% See solution above
% 0.59/0.91  
% 0.59/0.91  
% 0.59/0.91  % Terminating...
% 0.61/0.97  % Runner terminated.
% 0.61/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------