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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV378+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.kUGaJ7McSi true

% Computer : n023.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 0.52s 0.93s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   63 (   9 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  299 (  29   ~;  18   |;   3   &; 242   @)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 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   :   63 (   0   ^;  63   !;   0   ?;  63   :)

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

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

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

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

thf(remove_slb_type,type,
    remove_slb: $i > $i > $i ).

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

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

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

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

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

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

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

thf(sk__3_type,type,
    sk__3: $i ).

thf(remove_pqp_type,type,
    remove_pqp: $i > $i > $i ).

thf(l14_co,conjecture,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ~ ( ok @ ( triple @ U @ V @ W ) )
     => ~ ( ok @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i,X: $i] :
        ( ~ ( ok @ ( triple @ U @ V @ W ) )
       => ~ ( ok @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) ) ),
    inference('cnf.neg',[status(esa)],[l14_co]) ).

thf(zip_derived_cl50,plain,
    ok @ ( remove_cpq @ ( triple @ sk_ @ sk__1 @ sk__2 ) @ sk__3 ),
    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_cl57,plain,
    sk__2 = bad,
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl51]) ).

thf(zip_derived_cl65,plain,
    ok @ ( remove_cpq @ ( triple @ sk_ @ sk__1 @ bad ) @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl57]) ).

thf(ax44,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( ( contains_slb @ V @ X )
        & ( less_than @ ( lookup_slb @ V @ X ) @ X ) )
     => ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
        = ( triple @ ( remove_pqp @ U @ X ) @ ( remove_slb @ V @ X ) @ W ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( remove_cpq @ ( triple @ X0 @ X2 @ X3 ) @ X1 )
        = ( triple @ ( remove_pqp @ X0 @ X1 ) @ ( remove_slb @ X2 @ X1 ) @ X3 ) )
      | ~ ( less_than @ ( lookup_slb @ X2 @ X1 ) @ X1 )
      | ~ ( contains_slb @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ax44]) ).

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_cl375,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( contains_slb @ X1 @ X0 )
      | ~ ( less_than @ ( lookup_slb @ X1 @ X0 ) @ X0 )
      | ~ ( ok @ ( remove_cpq @ ( triple @ X2 @ X1 @ bad ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl36]) ).

thf(zip_derived_cl386,plain,
    ( ~ ( contains_slb @ sk__1 @ sk__3 )
    | ~ ( less_than @ ( lookup_slb @ sk__1 @ sk__3 ) @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl375]) ).

thf(ax43,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ~ ( contains_slb @ V @ X )
     => ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
        = ( triple @ U @ V @ bad ) ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( remove_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 )
        = ( triple @ X0 @ X1 @ bad ) )
      | ( contains_slb @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ax43]) ).

thf(zip_derived_cl65_001,plain,
    ok @ ( remove_cpq @ ( triple @ sk_ @ sk__1 @ bad ) @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl57]) ).

thf(zip_derived_cl94,plain,
    ( ( contains_slb @ sk__1 @ sk__3 )
    | ( ok @ ( triple @ sk_ @ sk__1 @ bad ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl65]) ).

thf(zip_derived_cl36_002,plain,
    ! [X0: $i,X1: $i] :
      ~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
    inference(cnf,[status(esa)],[ax40]) ).

thf(zip_derived_cl95,plain,
    contains_slb @ sk__1 @ sk__3,
    inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl36]) ).

thf(zip_derived_cl65_003,plain,
    ok @ ( remove_cpq @ ( triple @ sk_ @ sk__1 @ bad ) @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl57]) ).

thf(ax45,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( ( contains_slb @ V @ X )
        & ( strictly_less_than @ X @ ( lookup_slb @ V @ X ) ) )
     => ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
        = ( triple @ ( remove_pqp @ U @ X ) @ ( remove_slb @ V @ X ) @ bad ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( remove_cpq @ ( triple @ X0 @ X2 @ X3 ) @ X1 )
        = ( triple @ ( remove_pqp @ X0 @ X1 ) @ ( remove_slb @ X2 @ X1 ) @ bad ) )
      | ~ ( strictly_less_than @ X1 @ ( lookup_slb @ X2 @ X1 ) )
      | ~ ( contains_slb @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ax45]) ).

thf(zip_derived_cl36_004,plain,
    ! [X0: $i,X1: $i] :
      ~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
    inference(cnf,[status(esa)],[ax40]) ).

thf(zip_derived_cl288,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( contains_slb @ X2 @ X0 )
      | ~ ( strictly_less_than @ X0 @ ( lookup_slb @ X2 @ X0 ) )
      | ~ ( ok @ ( remove_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl36]) ).

thf(zip_derived_cl309,plain,
    ( ~ ( contains_slb @ sk__1 @ sk__3 )
    | ~ ( strictly_less_than @ sk__3 @ ( lookup_slb @ sk__1 @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl288]) ).

thf(zip_derived_cl95_005,plain,
    contains_slb @ sk__1 @ sk__3,
    inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl36]) ).

thf(zip_derived_cl315,plain,
    ~ ( strictly_less_than @ sk__3 @ ( lookup_slb @ sk__1 @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl309,zip_derived_cl95]) ).

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(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_cl69,plain,
    ! [X0: $i,X1: $i] :
      ( ( less_than @ X1 @ X0 )
      | ( strictly_less_than @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(zip_derived_cl317,plain,
    less_than @ ( lookup_slb @ sk__1 @ sk__3 ) @ sk__3,
    inference('s_sup+',[status(thm)],[zip_derived_cl315,zip_derived_cl69]) ).

thf(zip_derived_cl392,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl386,zip_derived_cl95,zip_derived_cl317]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV378+1 : TPTP v9.2.0. Released v3.3.0.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kUGaJ7McSi true
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Oct  1 12:46:53 EDT 2025
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.34  % Running in FO mode
% 0.50/0.64  % Total configuration time : 435
% 0.50/0.64  % Estimated wc time : 1092
% 0.50/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.89  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.52/0.93  % Solved by fo/fo1_av.sh.
% 0.52/0.93  % done 116 iterations in 0.157s
% 0.52/0.93  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.93  % SZS output start Refutation
% See solution above
% 0.52/0.93  
% 0.52/0.93  
% 0.52/0.93  % Terminating...
% 1.87/1.10  % Runner terminated.
% 1.87/1.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------