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Z3---4.15.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : SWW478_2 : TPTP v9.0.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n011.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 Jun 21 05:37:14 AM UTC 2025

% Result   : Theorem 0.23s 0.67s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    3 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :    3 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  20 usr;  20 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  13 con; 0-3 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(hBOOL_type,type,
    hBOOL: bool > $o ).

tff(member773094996on_val_type,type,
    member773094996on_val: ( produc1102272487on_val * fun_Pr691271849l_bool ) > bool ).

tff(red_type,type,
    red: list_P1999446415t_char > fun_Pr691271849l_bool ).

tff(p_type,type,
    p: list_P1999446415t_char ).

tff(hAPP_P1886180715on_val_type,type,
    hAPP_P1886180715on_val: ( fun_Pr714818201on_val * produc124828825on_val ) > produc1102272487on_val ).

tff(hAPP_P604205461on_val_type,type,
    hAPP_P604205461on_val: ( fun_Pr231134077on_val * produc12694297on_val ) > produc124828825on_val ).

tff(hAPP_f1727192346on_val_type,type,
    hAPP_f1727192346on_val: ( fun_fu1690035458on_val * fun_li1432931796on_val ) > produc12694297on_val ).

tff(l_a_type,type,
    l_a: fun_li1432931796on_val ).

tff(hAPP_f1849790461on_val_type,type,
    hAPP_f1849790461on_val: ( fun_fu1639641777on_val * fun_na939144002on_val ) > fun_fu1690035458on_val ).

tff(h_a_type,type,
    h_a: fun_na939144002on_val ).

tff(produc899768717on_val_type,type,
    produc899768717on_val: fun_fu1639641777on_val ).

tff(hAPP_e1659493427on_val_type,type,
    hAPP_e1659493427on_val: ( fun_ex977868519on_val * exp_list_char ) > fun_Pr231134077on_val ).

tff(e_a_type,type,
    e_a: exp_list_char ).

tff(produc1259058957on_val_type,type,
    produc1259058957on_val: fun_ex977868519on_val ).

tff(hAPP_P1870962205on_val_type,type,
    hAPP_P1870962205on_val: ( fun_Pr1391347915on_val * produc124828825on_val ) > fun_Pr714818201on_val ).

tff(fun_up1149430426on_val_type,type,
    fun_up1149430426on_val: ( fun_li1432931796on_val * list_char * option_val ) > fun_li1432931796on_val ).

tff(hAPP_val_option_val_type,type,
    hAPP_val_option_val: ( fun_val_option_val * val ) > option_val ).

tff(v_type,type,
    v: val ).

tff(some_val_type,type,
    some_val: fun_val_option_val ).

tff(v_1_type,type,
    v_1: list_char ).

tff(la_type,type,
    la: fun_li1432931796on_val ).

tff(ha_type,type,
    ha: fun_na939144002on_val ).

tff(ea_type,type,
    ea: exp_list_char ).

tff(produc1441475159on_val_type,type,
    produc1441475159on_val: fun_Pr1391347915on_val ).

tff(1,axiom,
    ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(2,axiom,
    hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).

tff(3,plain,
    $false,
    inference(unit_resolution,[status(thm)],[2,1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SWW478_2 : TPTP v9.0.0. Released v5.3.0.
% 0.08/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri Jun 20 11:59:56 EDT 2025
% 0.14/0.36  % CPUTime    : 
% 0.23/0.67  % SZS status Theorem
% 0.23/0.67  % SZS output start Proof
% See solution above
% 0.23/0.67  % E exiting
%------------------------------------------------------------------------------