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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP234_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.0FRNLuNUjM true

% Computer : n004.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 04:39:25 PM UTC 2025

% Result   : Theorem 7.92s 1.74s
% Output   : Refutation 7.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (  15 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  245 (   3   ~;   0   |;   0   &; 242   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Number of types       :    5 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

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

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

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

thf(mi_type,type,
    mi: nat ).

thf(treeList_type,type,
    treeList: list_VEBT_VEBT ).

thf(na_type,type,
    na: nat ).

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

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

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

thf(i_type,type,
    i: nat ).

thf(vEBT_VEBT_high_type,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

thf(vEBT_VEBT_low_type,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

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

thf(conj_0,conjecture,
    ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ mi ) @ na ) ) ) @ i )
    = ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ mi ) @ na ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ mi ) @ na ) ) ) @ i )
   != ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ mi ) @ na ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl265,plain,
    ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ mi ) @ na ) ) ) @ i )
   != ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ mi ) @ na ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

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

thf(fact_1_insprop,axiom,
    ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ mi ) @ na ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) )
    = ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ mi ) @ na ) ) ) ).

thf(zip_derived_cl1,plain,
    ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ mi ) @ na ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) )
    = ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ mi ) @ na ) ) ),
    inference(cnf,[status(esa)],[fact_1_insprop]) ).

thf(zip_derived_cl0_002,plain,
    ( i
    = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ),
    inference(cnf,[status(esa)],[fact_0_True]) ).

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

thf(zip_derived_cl269,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 @ mi ) @ na ) ) ) @ i )
    = ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ mi ) @ na ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl0_006,plain,
    ( i
    = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ),
    inference(cnf,[status(esa)],[fact_0_True]) ).

thf(zip_derived_cl271,plain,
    ( ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ mi ) @ na ) )
   != ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ mi ) @ na ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl0,zip_derived_cl0,zip_derived_cl269,zip_derived_cl0]) ).

thf(zip_derived_cl272,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl271]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem  : ITP234_1 : TPTP v9.2.0. Released v8.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0FRNLuNUjM true
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 15:34:38 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % 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
% 0.48/0.61  % Total configuration time : 435
% 0.48/0.61  % Estimated wc time : 1092
% 0.48/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.92/1.74  % Solved by fo/fo4.sh.
% 7.92/1.74  % done 15 iterations in 0.965s
% 7.92/1.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.92/1.74  % SZS output start Refutation
% See solution above
% 7.92/1.74  
% 7.92/1.74  
% 7.92/1.74  % Terminating...
% 8.62/1.85  % Runner terminated.
% 8.62/1.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------