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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP233^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3drB60CgxE true

% Computer : n028.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 : Sat Feb 28 09:48:14 AM UTC 2026

% Result   : Theorem 5.59s 1.35s
% Output   : Refutation 5.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (  10 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  173 (   3   ~;   0   |;   0   &; 170   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   0   ^;   2   !;   2   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vEBT_VEBT_type,type,
    vEBT_VEBT: $tType ).

thf(list_VEBT_VEBT_type,type,
    list_VEBT_VEBT: $tType ).

thf(nat_type,type,
    nat: $tType ).

thf(vEBT_VEBT_low_type,type,
    vEBT_VEBT_low: nat > nat > nat ).

thf(treeList_type,type,
    treeList: list_VEBT_VEBT ).

thf(nth_VEBT_VEBT_type,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(vEBT_vebt_insert_type,type,
    vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).

thf(na_type,type,
    na: nat ).

thf(i_type,type,
    i: nat ).

thf(list_u1324408373059187874T_VEBT_type,type,
    list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(xa_type,type,
    xa: nat ).

thf(vEBT_VEBT_high_type,type,
    vEBT_VEBT_high: nat > nat > nat ).

thf(vEBT_V8194947554948674370ptions_type,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).

thf(fact_1__C166_C,axiom,
    vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ).

thf(zip_derived_cl1,plain,
    vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ),
    inference(cnf,[status(esa)],[fact_1__C166_C]) ).

thf(fact_0_True,axiom,
    ( i
    = ( vEBT_VEBT_high @ xa @ na ) ) ).

thf(zip_derived_cl0,plain,
    ( i
    = ( vEBT_VEBT_high @ xa @ na ) ),
    inference(cnf,[status(esa)],[fact_0_True]) ).

thf(zip_derived_cl288,plain,
    vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(conj_0,conjecture,
    ? [Y4: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) @ Y4 ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Y4: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) @ Y4 ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl284,plain,
    ! [X0: nat] :
      ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_001,plain,
    ( i
    = ( vEBT_VEBT_high @ xa @ na ) ),
    inference(cnf,[status(esa)],[fact_0_True]) ).

thf(zip_derived_cl0_002,plain,
    ( i
    = ( vEBT_VEBT_high @ xa @ na ) ),
    inference(cnf,[status(esa)],[fact_0_True]) ).

thf(fact_3__C164_C,axiom,
    ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i )
    = ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) ).

thf(zip_derived_cl2,plain,
    ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i )
    = ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ),
    inference(cnf,[status(esa)],[fact_3__C164_C]) ).

thf(zip_derived_cl0_003,plain,
    ( i
    = ( vEBT_VEBT_high @ xa @ na ) ),
    inference(cnf,[status(esa)],[fact_0_True]) ).

thf(zip_derived_cl0_004,plain,
    ( i
    = ( vEBT_VEBT_high @ xa @ na ) ),
    inference(cnf,[status(esa)],[fact_0_True]) ).

thf(zip_derived_cl0_005,plain,
    ( i
    = ( vEBT_VEBT_high @ xa @ na ) ),
    inference(cnf,[status(esa)],[fact_0_True]) ).

thf(zip_derived_cl298,plain,
    ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ i @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i )
    = ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl300,plain,
    ! [X0: nat] :
      ~ ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl284,zip_derived_cl0,zip_derived_cl0,zip_derived_cl298]) ).

thf(zip_derived_cl301,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl300]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP233^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3drB60CgxE true
% 0.17/0.34  % Computer : n028.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Thu Feb 26 14:20:42 EST 2026
% 0.17/0.34  % CPUTime  : 
% 0.17/0.34  % Running portfolio for 300 s
% 0.17/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.34  % Number of cores: 8
% 0.17/0.34  % Python version: Python 3.6.8
% 0.17/0.35  % Running in HO mode
% 0.55/0.67  % Total configuration time : 828
% 0.55/0.67  % Estimated wc time : 1656
% 0.55/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 4.84/1.26  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 5.59/1.35  % Solved by lams/40_c_ic.sh.
% 5.59/1.35  % done 32 iterations in 0.560s
% 5.59/1.35  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.59/1.35  % SZS output start Refutation
% See solution above
% 5.59/1.35  
% 5.59/1.35  
% 5.59/1.35  % Terminating...
% 5.59/1.39  % Runner terminated.
% 5.59/1.39  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------