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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP232^3 : 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.CYCdUuxp33 true

% Computer : n026.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 09:48:13 AM UTC 2026

% Result   : Theorem 20.18s 3.18s
% Output   : Refutation 20.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   25 (   0 equ;   2 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   80 (   8   ~;   2   |;   0   &;  62   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   8 usr;   7 con; 0-2 aty)
%                                         (   1  !!;   4  ??;   0 @@+;   0 @@-)
%            Number of variables   :   13 (   5   ^;   5   !;   3   ?;  13   :)

% 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_high_type,type,
    vEBT_VEBT_high: nat > nat > nat ).

thf(vEBT_VEBT_minNull_type,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

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

thf('#sk1_type',type,
    '#sk1': vEBT_VEBT > nat ).

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

thf(treeList_type,type,
    treeList: list_VEBT_VEBT ).

thf(na_type,type,
    na: nat ).

thf(mi_type,type,
    mi: nat ).

thf(fact_1_False,axiom,
    ~ ( vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) ) ).

thf(zip_derived_cl1,plain,
    ~ ( vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) ),
    inference(cnf,[status(esa)],[fact_1_False]) ).

thf(conj_0,conjecture,
    ? [Y3: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ Y3 ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Y3: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ Y3 ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl9602,plain,
    ~ ( ??
      @ ^ [Y0: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ Y0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10492,plain,
    ! [X2: nat] :
      ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9602]) ).

thf(fact_0_not__min__Null__member,axiom,
    ! [T: vEBT_VEBT] :
      ( ~ ( vEBT_VEBT_minNull @ T )
     => ? [X_1: nat] : ( vEBT_V8194947554948674370ptions @ T @ X_1 ) ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: vEBT_VEBT] :
        ( ( (~) @ ( vEBT_VEBT_minNull @ Y0 ) )
       => ( ??
          @ ^ [Y1: nat] : ( vEBT_V8194947554948674370ptions @ Y0 @ Y1 ) ) ) ),
    inference(cnf,[status(esa)],[fact_0_not__min__Null__member]) ).

thf(zip_derived_cl9605,plain,
    ! [X2: vEBT_VEBT] :
      ( ( (~) @ ( vEBT_VEBT_minNull @ X2 ) )
     => ( ??
        @ ^ [Y0: nat] : ( vEBT_V8194947554948674370ptions @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl9606,plain,
    ! [X2: vEBT_VEBT] :
      ( ( vEBT_VEBT_minNull @ X2 )
      | ( ??
        @ ^ [Y0: nat] : ( vEBT_V8194947554948674370ptions @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9605]) ).

thf(zip_derived_cl9607,plain,
    ! [X2: vEBT_VEBT] :
      ( ( vEBT_V8194947554948674370ptions @ X2 @ ( '#sk1' @ X2 ) )
      | ( vEBT_VEBT_minNull @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9606]) ).

thf(zip_derived_cl10493,plain,
    vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10492,zip_derived_cl9607]) ).

thf(zip_derived_cl10497,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl10493]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP232^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CYCdUuxp33 true
% 0.16/0.34  % Computer : n026.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Thu Feb 26 13:45:10 EST 2026
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  % Running portfolio for 300 s
% 0.16/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.34  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % Running in HO mode
% 0.54/0.64  % Total configuration time : 828
% 0.54/0.64  % Estimated wc time : 1656
% 0.54/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.68  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 6.49/1.43  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 20.18/3.18  % Solved by lams/35_full_unif4.sh.
% 20.18/3.18  % done 528 iterations in 2.423s
% 20.18/3.18  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 20.18/3.18  % SZS output start Refutation
% See solution above
% 20.18/3.18  
% 20.18/3.18  
% 20.18/3.18  % Terminating...
% 20.74/3.26  % Runner terminated.
% 20.74/3.28  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------