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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP247^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gQc9SpGovZ true

% Computer : n007.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 09:48:20 AM UTC 2026

% Result   : Theorem 158.56s 21.99s
% Output   : Refutation 158.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   11 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  127 (   3   ~;   1   |;   1   &; 121   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (  10 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  23 usr;  10 con; 0-4 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

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

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

thf(option4927543243414619207at_nat_type,type,
    option4927543243414619207at_nat: $tType ).

thf(product_prod_nat_nat_type,type,
    product_prod_nat_nat: $tType ).

thf(na_type,type,
    na: nat ).

thf(ord_less_eq_nat_type,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(plus_plus_nat_type,type,
    plus_plus_nat: nat > nat > nat ).

thf(some_P7363390416028606310at_nat_type,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

thf(summary_type,type,
    summary: vEBT_VEBT ).

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

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

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

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

thf(one_type,type,
    one: num ).

thf(xa_type,type,
    xa: nat ).

thf(deg_type,type,
    deg: nat ).

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

thf(vEBT_VEBT_height_type,type,
    vEBT_VEBT_height: vEBT_VEBT > nat ).

thf(mi_type,type,
    mi: nat ).

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

thf(ma_type,type,
    ma: nat ).

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

thf(product_Pair_nat_nat_type,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(vEBT_Node_type,type,
    vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(treeList_type,type,
    treeList: list_VEBT_VEBT ).

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

thf(one_one_nat_type,type,
    one_one_nat: nat ).

thf(fact_413__092_060open_062invar__vebt_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_An_A_092_060and_062_AtreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_A_092_060in_062_Aset_AtreeList_092_060close_062,axiom,
    ( ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( set_VEBT_VEBT2 @ treeList ) )
    & ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na ) ) ).

thf(zip_derived_cl383,plain,
    member_VEBT_VEBT @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( set_VEBT_VEBT2 @ treeList ),
    inference(cnf,[status(esa)],[fact_413__092_060open_062invar__vebt_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_An_A_092_060and_062_AtreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_A_092_060in_062_Aset_AtreeList_092_060close_062]) ).

thf(conj_0,conjecture,
    ord_less_eq_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_VEBT_height @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) @ ( vEBT_VEBT_height @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ord_less_eq_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_VEBT_height @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) @ ( vEBT_VEBT_height @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl10334,plain,
    ~ ( ord_less_eq_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_VEBT_height @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) @ ( vEBT_VEBT_height @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_10_height__compose__child,axiom,
    ! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
      ( ( member_VEBT_VEBT @ T @ ( set_VEBT_VEBT2 @ TreeList ) )
     => ( ord_less_eq_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_VEBT_height @ T ) ) @ ( vEBT_VEBT_height @ ( vEBT_Node @ Info @ Deg @ TreeList @ Summary ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: vEBT_VEBT,X1: list_VEBT_VEBT,X2: option4927543243414619207at_nat,X3: nat,X4: vEBT_VEBT] :
      ( ~ ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ X1 ) )
      | ( ord_less_eq_nat @ ( plus_plus_nat @ one_one_nat @ ( vEBT_VEBT_height @ X0 ) ) @ ( vEBT_VEBT_height @ ( vEBT_Node @ X2 @ X3 @ X1 @ X4 ) ) ) ),
    inference(cnf,[status(esa)],[fact_10_height__compose__child]) ).

thf(zip_derived_cl20244,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl383,zip_derived_cl10334,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP247^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gQc9SpGovZ true
% 0.17/0.35  % Computer : n007.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 : Thu Feb 26 22:18:38 EST 2026
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.36  % Python version: Python 3.6.8
% 0.17/0.36  % Running in HO mode
% 0.61/0.71  % Total configuration time : 828
% 0.61/0.71  % Estimated wc time : 1656
% 0.61/0.71  % Estimated cpu time (8 cpus) : 207.0
% 0.61/0.80  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.61/0.80  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.61/0.80  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.61/0.80  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.61/0.80  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.61/0.80  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.61/0.81  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.61/0.81  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 6.99/1.51  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 158.56/21.99  % Solved by lams/40_c.s.sh.
% 158.56/21.99  % done 1493 iterations in 21.165s
% 158.56/21.99  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 158.56/21.99  % SZS output start Refutation
% See solution above
% 158.56/21.99  
% 158.56/21.99  
% 158.56/21.99  % Terminating...
% 23.61/22.13  % Runner terminated.
% 23.61/22.14  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------