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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP278_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZldMa3sieu true

% Computer : n031.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 04:39:46 PM UTC 2025

% Result   : Theorem 10.36s 2.09s
% Output   : Refutation 10.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   22 (  18 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  111 (   3   ~;   0   |;   4   &; 103   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Number of types       :   17 (  16 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   34 (  32 usr;  18 con; 0-4 aty)
%            Number of variables   :    1 (   0   ^;   1   !;   0   ?;   1   :)

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

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

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

thf(fun_na1476630412504255114at_nat_type,type,
    fun_na1476630412504255114at_nat: $tType ).

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

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

thf(fun_nat_nat_type,type,
    fun_nat_nat: $tType ).

thf(fun_nat_fun_nat_nat_type,type,
    fun_nat_fun_nat_nat: $tType ).

thf(fun_num_nat_type,type,
    fun_num_nat: $tType ).

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

thf(fun_num_num_type,type,
    fun_num_num: $tType ).

thf(bool_type,type,
    bool: $tType ).

thf(fun_nat_bool_type,type,
    fun_nat_bool: $tType ).

thf(fun_se448528567104302406T_bool_type,type,
    fun_se448528567104302406T_bool: $tType ).

thf(fun_VE7346385682144900493T_bool_type,type,
    fun_VE7346385682144900493T_bool: $tType ).

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

thf(summary2_type,type,
    summary2: vEBT_VEBT ).

thf(treeList2_type,type,
    treeList2: list_VEBT_VEBT ).

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

thf(pp_type,type,
    pp: bool > $o ).

thf(ma_type,type,
    ma: nat ).

thf(bit0_type,type,
    bit0: fun_num_num ).

thf(aa_num_nat_type,type,
    aa_num_nat: fun_num_nat > num > nat ).

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

thf(aa_nat_bool_type,type,
    aa_nat_bool: fun_nat_bool > nat > bool ).

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

thf(m_type,type,
    m: nat ).

thf(mi_type,type,
    mi: nat ).

thf(one_type,type,
    one: num ).

thf(plus_plus_nat_type,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

thf(aa_VEB289770264548726718T_bool_type,type,
    aa_VEB289770264548726718T_bool: fun_VE7346385682144900493T_bool > vEBT_VEBT > fun_se448528567104302406T_bool ).

thf(aa_num_num_type,type,
    aa_num_num: fun_num_num > num > num ).

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

thf(aa_nat7603221163087113075at_nat_type,type,
    aa_nat7603221163087113075at_nat: fun_na1476630412504255114at_nat > nat > product_prod_nat_nat ).

thf(member_VEBT_VEBT_type,type,
    member_VEBT_VEBT: fun_VE7346385682144900493T_bool ).

thf(summary_type,type,
    summary: vEBT_VEBT ).

thf(power_power_nat_type,type,
    power_power_nat: fun_nat_fun_nat_nat ).

thf(product_Pair_nat_nat_type,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

thf(sa_type,type,
    sa: vEBT_VEBT ).

thf(aa_nat_nat_type,type,
    aa_nat_nat: fun_nat_nat > nat > nat ).

thf(treeList_type,type,
    treeList: list_VEBT_VEBT ).

thf(na_type,type,
    na: nat ).

thf(aa_nat_fun_nat_nat_type,type,
    aa_nat_fun_nat_nat: fun_nat_fun_nat_nat > nat > fun_nat_nat ).

thf(numeral_numeral_nat_type,type,
    numeral_numeral_nat: fun_num_nat ).

thf(aa_set8260762808118238015T_bool_type,type,
    aa_set8260762808118238015T_bool: fun_se448528567104302406T_bool > set_VEBT_VEBT > bool ).

thf(vEBT_invar_vebt_type,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).

thf(deg_type,type,
    deg: nat ).

thf(info_type,type,
    info: option4927543243414619207at_nat ).

thf(conj_0,conjecture,
    ( sa
    = ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( aa_nat7603221163087113075at_nat @ ( product_Pair_nat_nat @ mi ) @ ma ) ) @ deg @ treeList2 @ summary2 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( sa
   != ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( aa_nat7603221163087113075at_nat @ ( product_Pair_nat_nat @ mi ) @ ma ) ) @ deg @ treeList2 @ summary2 ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl2670,plain,
    ( sa
   != ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( aa_nat7603221163087113075at_nat @ ( product_Pair_nat_nat @ mi ) @ ma ) ) @ deg @ treeList2 @ summary2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_737_sprop1,axiom,
    ( ! [X: vEBT_VEBT] :
        ( ( pp @ ( aa_set8260762808118238015T_bool @ ( aa_VEB289770264548726718T_bool @ member_VEBT_VEBT @ X ) @ ( set_VEBT_VEBT2 @ treeList ) ) )
       => ( pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ X ) @ na ) ) )
    & ( pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ summary ) @ m ) )
    & ( ( size_s6755466524823107622T_VEBT @ treeList )
      = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ m ) )
    & ( deg
      = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ na ) @ m ) )
    & ( sa
      = ( vEBT_Node @ info @ deg @ treeList @ summary ) ) ) ).

thf(zip_derived_cl398,plain,
    ( sa
    = ( vEBT_Node @ info @ deg @ treeList @ summary ) ),
    inference(cnf,[status(esa)],[fact_737_sprop1]) ).

thf(fact_175_case4_I6_J,axiom,
    ( deg
    = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ na ) @ m ) ) ).

thf(zip_derived_cl105,plain,
    ( deg
    = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ na ) @ m ) ),
    inference(cnf,[status(esa)],[fact_175_case4_I6_J]) ).

thf(zip_derived_cl2676,plain,
    ( sa
    = ( vEBT_Node @ info @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ na ) @ m ) @ treeList @ summary ) ),
    inference(demod,[status(thm)],[zip_derived_cl398,zip_derived_cl105]) ).

thf(fact_2_infsplit,axiom,
    ( info
    = ( some_P7363390416028606310at_nat @ ( aa_nat7603221163087113075at_nat @ ( product_Pair_nat_nat @ mi ) @ ma ) ) ) ).

thf(zip_derived_cl2,plain,
    ( info
    = ( some_P7363390416028606310at_nat @ ( aa_nat7603221163087113075at_nat @ ( product_Pair_nat_nat @ mi ) @ ma ) ) ),
    inference(cnf,[status(esa)],[fact_2_infsplit]) ).

thf(zip_derived_cl105_001,plain,
    ( deg
    = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ na ) @ m ) ),
    inference(cnf,[status(esa)],[fact_175_case4_I6_J]) ).

thf(fact_9__092_060open_062treeList_A_061_AtreeList_H_092_060close_062,axiom,
    treeList2 = treeList ).

thf(zip_derived_cl12,plain,
    treeList2 = treeList,
    inference(cnf,[status(esa)],[fact_9__092_060open_062treeList_A_061_AtreeList_H_092_060close_062]) ).

thf(fact_0__092_060open_062summary_A_061_Asummary_H_092_060close_062,axiom,
    summary2 = summary ).

thf(zip_derived_cl0,plain,
    summary2 = summary,
    inference(cnf,[status(esa)],[fact_0__092_060open_062summary_A_061_Asummary_H_092_060close_062]) ).

thf(zip_derived_cl2751,plain,
    ( ( vEBT_Node @ info @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ na ) @ m ) @ treeList @ summary )
   != ( vEBT_Node @ info @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ na ) @ m ) @ treeList @ summary ) ),
    inference(demod,[status(thm)],[zip_derived_cl2670,zip_derived_cl2676,zip_derived_cl2,zip_derived_cl105,zip_derived_cl12,zip_derived_cl0]) ).

thf(zip_derived_cl2752,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2751]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ITP278_1 : TPTP v9.2.0. Released v8.0.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZldMa3sieu true
% 0.13/0.36  % Computer : n031.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Wed Oct  1 15:27:53 EDT 2025
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.52/0.66  % Total configuration time : 435
% 0.52/0.66  % Estimated wc time : 1092
% 0.52/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.36/2.09  % Solved by fo/fo7.sh.
% 10.36/2.09  % done 213 iterations in 1.289s
% 10.36/2.09  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.36/2.09  % SZS output start Refutation
% See solution above
% 10.36/2.09  
% 10.36/2.09  
% 10.36/2.09  % Terminating...
% 10.94/2.19  % Runner terminated.
% 10.94/2.20  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------