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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP233_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.8UJeoHd99x true

% Computer : n029.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 04:39:24 PM UTC 2025

% Result   : Theorem 9.35s 1.96s
% Output   : Refutation 9.35s
% 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 :  268 (   3   ~;   0   |;   0   &; 265   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Number of types       :    9 (   8 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   8 con; 0-3 aty)
%            Number of variables   :    4 (   0   ^;   2   !;   2   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(bool_type,type,
    bool: $tType ).

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

thf(fun_VE3763956218935105199t_bool_type,type,
    fun_VE3763956218935105199t_bool: $tType ).

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(fun_nat_nat_type,type,
    fun_nat_nat: $tType ).

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

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

thf(xa_type,type,
    xa: nat ).

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

thf(vEBT_V8194947554948674370ptions_type,type,
    vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).

thf(aa_VEB4832260192069861672t_bool_type,type,
    aa_VEB4832260192069861672t_bool: fun_VE3763956218935105199t_bool > vEBT_VEBT > fun_nat_bool ).

thf(treeList_type,type,
    treeList: list_VEBT_VEBT ).

thf(na_type,type,
    na: nat ).

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

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

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

thf(vEBT_VEBT_high_type,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

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

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

thf(i_type,type,
    i: nat ).

thf(vEBT_VEBT_low_type,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

thf(fact_1__C166_C,axiom,
    pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ).

thf(zip_derived_cl1,plain,
    pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ),
    inference(cnf,[status(esa)],[fact_1__C166_C]) ).

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

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

thf(zip_derived_cl284,plain,
    pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(conj_0,conjecture,
    ? [Y4: nat] : ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ) @ i ) ) @ Y4 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Y4: nat] : ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ) @ i ) ) @ Y4 ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl279,plain,
    ! [X0: nat] :
      ~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ) @ i ) ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl0_002,plain,
    ( i
    = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ 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 @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ) @ i )
    = ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ) ).

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

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

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

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

thf(zip_derived_cl290,plain,
    ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ i @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ) @ i )
    = ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl1497,plain,
    ! [X0: nat] :
      ~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl279,zip_derived_cl0,zip_derived_cl0,zip_derived_cl290]) ).

thf(zip_derived_cl1498,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl1497]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ITP233_1 : TPTP v9.2.0. Released v8.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8UJeoHd99x true
% 0.14/0.37  % Computer : n029.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Wed Oct  1 15:35:08 EDT 2025
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  % Running portfolio for 300 s
% 0.14/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.38  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.35/1.96  % Solved by fo/fo4.sh.
% 9.35/1.96  % done 428 iterations in 1.152s
% 9.35/1.96  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.35/1.96  % SZS output start Refutation
% See solution above
% 9.35/1.96  
% 9.35/1.96  
% 9.35/1.96  % Terminating...
% 10.19/2.09  % Runner terminated.
% 10.19/2.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------