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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP256^3 : 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.RMGMFaoee9 true

% Computer : n016.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 09:48:23 AM UTC 2026

% Result   : Theorem 135.84s 19.16s
% Output   : Refutation 135.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   19 (   3 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   88 (   5   ~;   2   |;   2   &;  76   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

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

thf(num_type,type,
    num: $tType ).

thf(vEBT_VEBT_type,type,
    vEBT_VEBT: $tType ).

thf(set_VEBT_VEBT_type,type,
    set_VEBT_VEBT: $tType ).

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

thf(divide_divide_nat_type,type,
    divide_divide_nat: nat > nat > nat ).

thf(xa_type,type,
    xa: nat ).

thf(na_type,type,
    na: nat ).

thf(one_type,type,
    one: num ).

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

thf(ord_less_nat_type,type,
    ord_less_nat: nat > nat > $o ).

thf(power_power_nat_type,type,
    power_power_nat: nat > nat > nat ).

thf(numeral_numeral_nat_type,type,
    numeral_numeral_nat: num > nat ).

thf(treeList_type,type,
    treeList: list_VEBT_VEBT ).

thf(member_VEBT_VEBT_type,type,
    member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).

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

thf(size_s6755466524823107622T_VEBT_type,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

thf(set_VEBT_VEBT2_type,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

thf(vEBT_invar_vebt_type,type,
    vEBT_invar_vebt: vEBT_VEBT > nat > $o ).

thf(bit0_type,type,
    bit0: num > num ).

thf(vEBT_vebt_delete_type,type,
    vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).

thf(fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062,axiom,
    ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ) ).

thf(zip_derived_cl5,plain,
    ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ),
    inference(cnf,[status(esa)],[fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062]) ).

thf(fact_2118_high__def,axiom,
    ! [X3: nat,N2: nat] :
      ( ( vEBT_VEBT_high @ X3 @ N2 )
      = ( divide_divide_nat @ X3 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ N2 ) ) ) ).

thf(zip_derived_cl1981,plain,
    ! [X0: nat,X1: nat] :
      ( ( vEBT_VEBT_high @ X0 @ X1 )
      = ( divide_divide_nat @ X0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_2118_high__def]) ).

thf(conj_0,conjecture,
    vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl4888,plain,
    ~ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_137_nth__mem,axiom,
    ! [N: nat,Xs: list_VEBT_VEBT] :
      ( ( ord_less_nat @ N @ ( size_s6755466524823107622T_VEBT @ Xs ) )
     => ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ Xs @ N ) @ ( set_VEBT_VEBT2 @ Xs ) ) ) ).

thf(zip_derived_cl92,plain,
    ! [X0: list_VEBT_VEBT,X1: nat] :
      ( ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X0 @ X1 ) @ ( set_VEBT_VEBT2 @ X0 ) )
      | ~ ( ord_less_nat @ X1 @ ( size_s6755466524823107622T_VEBT @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_137_nth__mem]) ).

thf(fact_23__C4_OIH_C_I1_J,axiom,
    ! [X2: vEBT_VEBT] :
      ( ( member_VEBT_VEBT @ X2 @ ( set_VEBT_VEBT2 @ treeList ) )
     => ( ( vEBT_invar_vebt @ X2 @ na )
        & ! [Xa: nat,Xb: nat] :
            ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X2 @ Xa ) @ Xb )
          <=> ( ( vEBT_V8194947554948674370ptions @ X2 @ Xb )
              & ( Xa != Xb ) ) ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: vEBT_VEBT] :
      ( ( vEBT_invar_vebt @ X0 @ na )
      | ~ ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) ) ),
    inference(cnf,[status(esa)],[fact_23__C4_OIH_C_I1_J]) ).

thf(zip_derived_cl19337,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl5,zip_derived_cl1981,zip_derived_cl4888,zip_derived_cl92,zip_derived_cl20]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ITP256^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RMGMFaoee9 true
% 0.17/0.35  % Computer : n016.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Fri Feb 27 03:31:51 EST 2026
% 0.20/0.36  % CPUTime  : 
% 0.20/0.36  % Running portfolio for 300 s
% 0.20/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.36  % Number of cores: 8
% 0.20/0.36  % Python version: Python 3.6.8
% 0.20/0.36  % Running in HO mode
% 0.50/0.66  % Total configuration time : 828
% 0.50/0.66  % Estimated wc time : 1656
% 0.50/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.53/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 5.49/1.39  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 135.84/19.16  % Solved by lams/40_c.s.sh.
% 135.84/19.16  % done 1346 iterations in 18.394s
% 135.84/19.16  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 135.84/19.16  % SZS output start Refutation
% See solution above
% 135.84/19.16  
% 135.84/19.16  
% 135.84/19.16  % Terminating...
% 136.95/19.28  % Runner terminated.
% 0.72/19.30  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------