TSTP Solution File: TOP034+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : TOP034+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n020.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 : Tue Aug 22 11:18:44 EDT 2023

% Result   : Theorem 55.33s 39.30s
% Output   : CNFRefutation 55.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   75
% Syntax   : Number of formulae    :   99 (   9 unt;  71 typ;   0 def)
%            Number of atoms       :  152 (   0 equ)
%            Maximal formula atoms :   12 (   5 avg)
%            Number of connectives :  204 (  80   ~;  96   |;  19   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   94 (  64   >;  30   *;   0   +;   0  <<)
%            Number of predicates  :   45 (  44 usr;   1 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;   7 con; 0-2 aty)
%            Number of variables   :   35 (;  33   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ v5_pre_topc > v3_borsuk_1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > v4_pre_topc > v3_tops_1 > v3_pre_topc > v2_tsp_2 > v2_tops_1 > v2_tex_2 > v1_tsep_1 > v1_tex_3 > v1_borsuk_1 > r2_hidden > r1_tarski > r1_borsuk_1 > m2_tsp_1 > m1_subset_1 > m1_pre_topc > v5_tdlat_3 > v5_membered > v4_tdlat_3 > v4_ordinal2 > v4_membered > v3_tdlat_3 > v3_struct_0 > v3_realset2 > v3_membered > v2_tdlat_3 > v2_t_0topsp > v2_pre_topc > v2_membered > v1_xreal_0 > v1_xcmplx_0 > v1_xboole_0 > v1_tdlat_3 > v1_relat_1 > v1_rat_1 > v1_membered > v1_int_1 > v1_funct_1 > l1_struct_0 > l1_pre_topc > k2_zfmisc_1 > #nlpp > u1_struct_0 > k1_zfmisc_1 > k1_xboole_0 > #skF_21 > #skF_18 > #skF_11 > #skF_19 > #skF_22 > #skF_8 > #skF_3 > #skF_16 > #skF_15 > #skF_5 > #skF_10 > #skF_2 > #skF_1 > #skF_23 > #skF_13 > #skF_4 > #skF_17 > #skF_14 > #skF_12 > #skF_7 > #skF_9 > #skF_6 > #skF_20

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(v3_borsuk_1,type,
    v3_borsuk_1: ( $i * $i * $i ) > $o ).

tff(m2_relset_1,type,
    m2_relset_1: ( $i * $i * $i ) > $o ).

tff(m2_tsp_1,type,
    m2_tsp_1: ( $i * $i ) > $o ).

tff('#skF_21',type,
    '#skF_21': $i > $i ).

tff(v1_funct_1,type,
    v1_funct_1: $i > $o ).

tff(v3_pre_topc,type,
    v3_pre_topc: ( $i * $i ) > $o ).

tff('#skF_18',type,
    '#skF_18': $i > $i ).

tff(r2_hidden,type,
    r2_hidden: ( $i * $i ) > $o ).

tff('#skF_11',type,
    '#skF_11': $i ).

tff('#skF_19',type,
    '#skF_19': $i > $i ).

tff(v1_int_1,type,
    v1_int_1: $i > $o ).

tff(k1_xboole_0,type,
    k1_xboole_0: $i ).

tff('#skF_22',type,
    '#skF_22': $i > $i ).

tff(v2_tops_1,type,
    v2_tops_1: ( $i * $i ) > $o ).

tff(v1_tex_3,type,
    v1_tex_3: ( $i * $i ) > $o ).

tff(l1_pre_topc,type,
    l1_pre_topc: $i > $o ).

tff('#skF_8',type,
    '#skF_8': $i > $i ).

tff(v3_tops_1,type,
    v3_tops_1: ( $i * $i ) > $o ).

tff(v1_tdlat_3,type,
    v1_tdlat_3: $i > $o ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

tff(r1_tarski,type,
    r1_tarski: ( $i * $i ) > $o ).

tff(v2_tsp_2,type,
    v2_tsp_2: ( $i * $i ) > $o ).

tff(m1_relset_1,type,
    m1_relset_1: ( $i * $i * $i ) > $o ).

tff(v5_tdlat_3,type,
    v5_tdlat_3: $i > $o ).

tff('#skF_16',type,
    '#skF_16': $i ).

tff(v4_ordinal2,type,
    v4_ordinal2: $i > $o ).

tff(r1_borsuk_1,type,
    r1_borsuk_1: ( $i * $i ) > $o ).

tff('#skF_15',type,
    '#skF_15': $i > $i ).

tff('#skF_5',type,
    '#skF_5': $i ).

tff(v1_funct_2,type,
    v1_funct_2: ( $i * $i * $i ) > $o ).

tff('#skF_10',type,
    '#skF_10': $i > $i ).

tff(v2_tex_2,type,
    v2_tex_2: ( $i * $i ) > $o ).

tff('#skF_2',type,
    '#skF_2': $i ).

tff(v3_realset2,type,
    v3_realset2: $i > $o ).

tff(v3_membered,type,
    v3_membered: $i > $o ).

tff('#skF_1',type,
    '#skF_1': $i ).

tff(v4_tdlat_3,type,
    v4_tdlat_3: $i > $o ).

tff(v2_t_0topsp,type,
    v2_t_0topsp: $i > $o ).

tff(v1_xreal_0,type,
    v1_xreal_0: $i > $o ).

tff(v5_membered,type,
    v5_membered: $i > $o ).

tff(k1_zfmisc_1,type,
    k1_zfmisc_1: $i > $i ).

tff(l1_struct_0,type,
    l1_struct_0: $i > $o ).

tff(v2_membered,type,
    v2_membered: $i > $o ).

tff(v3_tdlat_3,type,
    v3_tdlat_3: $i > $o ).

tff(v4_pre_topc,type,
    v4_pre_topc: ( $i * $i ) > $o ).

tff(v1_membered,type,
    v1_membered: $i > $o ).

tff(v1_xcmplx_0,type,
    v1_xcmplx_0: $i > $o ).

tff('#skF_23',type,
    '#skF_23': ( $i * $i ) > $i ).

tff('#skF_13',type,
    '#skF_13': $i > $i ).

tff(v1_relat_1,type,
    v1_relat_1: $i > $o ).

tff(k2_zfmisc_1,type,
    k2_zfmisc_1: ( $i * $i ) > $i ).

tff(v1_tsep_1,type,
    v1_tsep_1: ( $i * $i ) > $o ).

tff('#skF_4',type,
    '#skF_4': $i ).

tff('#skF_17',type,
    '#skF_17': $i > $i ).

tff('#skF_14',type,
    '#skF_14': $i > $i ).

tff(v5_pre_topc,type,
    v5_pre_topc: ( $i * $i * $i ) > $o ).

tff(m1_pre_topc,type,
    m1_pre_topc: ( $i * $i ) > $o ).

tff(v2_pre_topc,type,
    v2_pre_topc: $i > $o ).

tff(v1_rat_1,type,
    v1_rat_1: $i > $o ).

tff('#skF_12',type,
    '#skF_12': $i > $i ).

tff('#skF_7',type,
    '#skF_7': ( $i * $i ) > $i ).

tff(v4_membered,type,
    v4_membered: $i > $o ).

tff(u1_struct_0,type,
    u1_struct_0: $i > $i ).

tff(v1_xboole_0,type,
    v1_xboole_0: $i > $o ).

tff('#skF_9',type,
    '#skF_9': ( $i * $i ) > $i ).

tff('#skF_6',type,
    '#skF_6': $i > $i ).

tff('#skF_20',type,
    '#skF_20': $i > $i ).

tff(v2_tdlat_3,type,
    v2_tdlat_3: $i > $o ).

tff(v3_struct_0,type,
    v3_struct_0: $i > $o ).

tff(m1_subset_1,type,
    m1_subset_1: ( $i * $i ) > $o ).

tff(v1_borsuk_1,type,
    v1_borsuk_1: ( $i * $i ) > $o ).

tff(f_47,negated_conjecture,
    ~ ! [A] :
        ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & l1_pre_topc(A) )
       => ! [B] :
            ( ( ~ v3_struct_0(B)
              & v2_tsp_2(B,A)
              & m2_tsp_1(B,A) )
           => r1_borsuk_1(A,B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).

tff(f_1034,axiom,
    ! [A] :
      ( l1_pre_topc(A)
     => ! [B] :
          ( m2_tsp_1(B,A)
        <=> m1_pre_topc(B,A) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).

tff(f_1066,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_tsp_2(B,A)
            & m2_tsp_1(B,A) )
         => ? [C] :
              ( v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v5_pre_topc(C,A,B)
              & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
              & v3_borsuk_1(C,A,B) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).

tff(f_796,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ( r1_borsuk_1(A,B)
          <=> ? [C] :
                ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v5_pre_topc(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
                & v3_borsuk_1(C,A,B) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_borsuk_1) ).

tff(c_14,plain,
    ~ v3_struct_0('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_8,plain,
    ~ v3_struct_0('#skF_2'),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_2,plain,
    ~ r1_borsuk_1('#skF_1','#skF_2'),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_12,plain,
    v2_pre_topc('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_10,plain,
    l1_pre_topc('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_4,plain,
    m2_tsp_1('#skF_2','#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_2316,plain,
    ! [B_434,A_435] :
      ( m1_pre_topc(B_434,A_435)
      | ~ m2_tsp_1(B_434,A_435)
      | ~ l1_pre_topc(A_435) ),
    inference(cnfTransformation,[status(thm)],[f_1034]) ).

tff(c_2322,plain,
    ( m1_pre_topc('#skF_2','#skF_1')
    | ~ l1_pre_topc('#skF_1') ),
    inference(resolution,[status(thm)],[c_4,c_2316]) ).

tff(c_2326,plain,
    m1_pre_topc('#skF_2','#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_2322]) ).

tff(c_6,plain,
    v2_tsp_2('#skF_2','#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_460,plain,
    ! [A_178,B_182] :
      ( v1_funct_1('#skF_23'(A_178,B_182))
      | ~ m2_tsp_1(B_182,A_178)
      | ~ v2_tsp_2(B_182,A_178)
      | v3_struct_0(B_182)
      | ~ l1_pre_topc(A_178)
      | ~ v2_pre_topc(A_178)
      | v3_struct_0(A_178) ),
    inference(cnfTransformation,[status(thm)],[f_1066]) ).

tff(c_452,plain,
    ! [A_178,B_182] :
      ( v3_borsuk_1('#skF_23'(A_178,B_182),A_178,B_182)
      | ~ m2_tsp_1(B_182,A_178)
      | ~ v2_tsp_2(B_182,A_178)
      | v3_struct_0(B_182)
      | ~ l1_pre_topc(A_178)
      | ~ v2_pre_topc(A_178)
      | v3_struct_0(A_178) ),
    inference(cnfTransformation,[status(thm)],[f_1066]) ).

tff(c_456,plain,
    ! [A_178,B_182] :
      ( v5_pre_topc('#skF_23'(A_178,B_182),A_178,B_182)
      | ~ m2_tsp_1(B_182,A_178)
      | ~ v2_tsp_2(B_182,A_178)
      | v3_struct_0(B_182)
      | ~ l1_pre_topc(A_178)
      | ~ v2_pre_topc(A_178)
      | v3_struct_0(A_178) ),
    inference(cnfTransformation,[status(thm)],[f_1066]) ).

tff(c_454,plain,
    ! [A_178,B_182] :
      ( m2_relset_1('#skF_23'(A_178,B_182),u1_struct_0(A_178),u1_struct_0(B_182))
      | ~ m2_tsp_1(B_182,A_178)
      | ~ v2_tsp_2(B_182,A_178)
      | v3_struct_0(B_182)
      | ~ l1_pre_topc(A_178)
      | ~ v2_pre_topc(A_178)
      | v3_struct_0(A_178) ),
    inference(cnfTransformation,[status(thm)],[f_1066]) ).

tff(c_458,plain,
    ! [A_178,B_182] :
      ( v1_funct_2('#skF_23'(A_178,B_182),u1_struct_0(A_178),u1_struct_0(B_182))
      | ~ m2_tsp_1(B_182,A_178)
      | ~ v2_tsp_2(B_182,A_178)
      | v3_struct_0(B_182)
      | ~ l1_pre_topc(A_178)
      | ~ v2_pre_topc(A_178)
      | v3_struct_0(A_178) ),
    inference(cnfTransformation,[status(thm)],[f_1066]) ).

tff(c_6214,plain,
    ! [A_823,B_824,C_825] :
      ( r1_borsuk_1(A_823,B_824)
      | ~ v3_borsuk_1(C_825,A_823,B_824)
      | ~ m2_relset_1(C_825,u1_struct_0(A_823),u1_struct_0(B_824))
      | ~ v5_pre_topc(C_825,A_823,B_824)
      | ~ v1_funct_2(C_825,u1_struct_0(A_823),u1_struct_0(B_824))
      | ~ v1_funct_1(C_825)
      | ~ m1_pre_topc(B_824,A_823)
      | v3_struct_0(B_824)
      | ~ l1_pre_topc(A_823)
      | ~ v2_pre_topc(A_823)
      | v3_struct_0(A_823) ),
    inference(cnfTransformation,[status(thm)],[f_796]) ).

tff(c_25071,plain,
    ! [A_1910,B_1911] :
      ( r1_borsuk_1(A_1910,B_1911)
      | ~ v3_borsuk_1('#skF_23'(A_1910,B_1911),A_1910,B_1911)
      | ~ m2_relset_1('#skF_23'(A_1910,B_1911),u1_struct_0(A_1910),u1_struct_0(B_1911))
      | ~ v5_pre_topc('#skF_23'(A_1910,B_1911),A_1910,B_1911)
      | ~ v1_funct_1('#skF_23'(A_1910,B_1911))
      | ~ m1_pre_topc(B_1911,A_1910)
      | ~ m2_tsp_1(B_1911,A_1910)
      | ~ v2_tsp_2(B_1911,A_1910)
      | v3_struct_0(B_1911)
      | ~ l1_pre_topc(A_1910)
      | ~ v2_pre_topc(A_1910)
      | v3_struct_0(A_1910) ),
    inference(resolution,[status(thm)],[c_458,c_6214]) ).

tff(c_31895,plain,
    ! [A_2053,B_2054] :
      ( r1_borsuk_1(A_2053,B_2054)
      | ~ v3_borsuk_1('#skF_23'(A_2053,B_2054),A_2053,B_2054)
      | ~ v5_pre_topc('#skF_23'(A_2053,B_2054),A_2053,B_2054)
      | ~ v1_funct_1('#skF_23'(A_2053,B_2054))
      | ~ m1_pre_topc(B_2054,A_2053)
      | ~ m2_tsp_1(B_2054,A_2053)
      | ~ v2_tsp_2(B_2054,A_2053)
      | v3_struct_0(B_2054)
      | ~ l1_pre_topc(A_2053)
      | ~ v2_pre_topc(A_2053)
      | v3_struct_0(A_2053) ),
    inference(resolution,[status(thm)],[c_454,c_25071]) ).

tff(c_36907,plain,
    ! [A_2321,B_2322] :
      ( r1_borsuk_1(A_2321,B_2322)
      | ~ v3_borsuk_1('#skF_23'(A_2321,B_2322),A_2321,B_2322)
      | ~ v1_funct_1('#skF_23'(A_2321,B_2322))
      | ~ m1_pre_topc(B_2322,A_2321)
      | ~ m2_tsp_1(B_2322,A_2321)
      | ~ v2_tsp_2(B_2322,A_2321)
      | v3_struct_0(B_2322)
      | ~ l1_pre_topc(A_2321)
      | ~ v2_pre_topc(A_2321)
      | v3_struct_0(A_2321) ),
    inference(resolution,[status(thm)],[c_456,c_31895]) ).

tff(c_106205,plain,
    ! [A_3235,B_3236] :
      ( r1_borsuk_1(A_3235,B_3236)
      | ~ v1_funct_1('#skF_23'(A_3235,B_3236))
      | ~ m1_pre_topc(B_3236,A_3235)
      | ~ m2_tsp_1(B_3236,A_3235)
      | ~ v2_tsp_2(B_3236,A_3235)
      | v3_struct_0(B_3236)
      | ~ l1_pre_topc(A_3235)
      | ~ v2_pre_topc(A_3235)
      | v3_struct_0(A_3235) ),
    inference(resolution,[status(thm)],[c_452,c_36907]) ).

tff(c_106210,plain,
    ! [A_3237,B_3238] :
      ( r1_borsuk_1(A_3237,B_3238)
      | ~ m1_pre_topc(B_3238,A_3237)
      | ~ m2_tsp_1(B_3238,A_3237)
      | ~ v2_tsp_2(B_3238,A_3237)
      | v3_struct_0(B_3238)
      | ~ l1_pre_topc(A_3237)
      | ~ v2_pre_topc(A_3237)
      | v3_struct_0(A_3237) ),
    inference(resolution,[status(thm)],[c_460,c_106205]) ).

tff(c_106213,plain,
    ( r1_borsuk_1('#skF_1','#skF_2')
    | ~ m1_pre_topc('#skF_2','#skF_1')
    | ~ m2_tsp_1('#skF_2','#skF_1')
    | v3_struct_0('#skF_2')
    | ~ l1_pre_topc('#skF_1')
    | ~ v2_pre_topc('#skF_1')
    | v3_struct_0('#skF_1') ),
    inference(resolution,[status(thm)],[c_6,c_106210]) ).

tff(c_106216,plain,
    ( r1_borsuk_1('#skF_1','#skF_2')
    | v3_struct_0('#skF_2')
    | v3_struct_0('#skF_1') ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4,c_2326,c_106213]) ).

tff(c_106218,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14,c_8,c_2,c_106216]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem  : TOP034+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.37  % Computer : n020.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu Aug  3 17:39:07 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 55.33/39.30  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.33/39.30  
% 55.33/39.30  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 55.33/39.35  
% 55.33/39.35  Inference rules
% 55.33/39.35  ----------------------
% 55.33/39.35  #Ref     : 0
% 55.33/39.35  #Sup     : 29632
% 55.33/39.35  #Fact    : 0
% 55.33/39.35  #Define  : 0
% 55.33/39.35  #Split   : 98
% 55.33/39.35  #Chain   : 0
% 55.33/39.35  #Close   : 0
% 55.33/39.35  
% 55.33/39.35  Ordering : KBO
% 55.33/39.35  
% 55.33/39.35  Simplification rules
% 55.33/39.35  ----------------------
% 55.33/39.35  #Subsume      : 23999
% 55.33/39.35  #Demod        : 1438
% 55.33/39.35  #Tautology    : 1045
% 55.33/39.35  #SimpNegUnit  : 3665
% 55.33/39.35  #BackRed      : 2767
% 55.33/39.35  
% 55.33/39.35  #Partial instantiations: 0
% 55.33/39.35  #Strategies tried      : 1
% 55.33/39.35  
% 55.33/39.35  Timing (in seconds)
% 55.33/39.35  ----------------------
% 55.33/39.36  Preprocessing        : 0.81
% 55.33/39.36  Parsing              : 0.41
% 55.33/39.36  CNF conversion       : 0.08
% 55.33/39.36  Main loop            : 37.24
% 55.33/39.36  Inferencing          : 10.39
% 55.33/39.36  Reduction            : 11.52
% 55.33/39.36  Demodulation         : 7.91
% 55.33/39.36  BG Simplification    : 0.16
% 55.33/39.36  Subsumption          : 13.53
% 55.33/39.36  Abstraction          : 0.32
% 55.33/39.36  MUC search           : 0.00
% 55.33/39.36  Cooper               : 0.00
% 55.33/39.36  Total                : 38.12
% 55.33/39.36  Index Insertion      : 0.00
% 55.33/39.36  Index Deletion       : 0.00
% 55.33/39.36  Index Matching       : 0.00
% 55.33/39.36  BG Taut test         : 0.00
%------------------------------------------------------------------------------