TSTP Solution File: ANA028-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ANA028-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n026.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 10:32:50 EDT 2023
% Result : Unsatisfiable 12.31s 4.64s
% Output : CNFRefutation 12.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 74 ( 30 unt; 13 typ; 0 def)
% Number of atoms : 107 ( 28 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 98 ( 52 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 10 >; 6 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 111 (; 111 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > class_Ring__and__Field_Oordered__idom > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Ocomm__monoid__add > class_OrderedGroup_Oab__group__add > c_plus > c_minus > #nlpp > v_k > v_g > v_f > v_x > t_b > c_0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(c_minus,type,
c_minus: ( $i * $i * $i ) > $i ).
tff(c_0,type,
c_0: $i ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(class_OrderedGroup_Ocomm__monoid__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(c_plus,type,
c_plus: ( $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(v_g,type,
v_g: $i > $i ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(v_f,type,
v_f: $i > $i ).
tff(t_b,type,
t_b: $i ).
tff(v_k,type,
v_k: $i > $i ).
tff(f_68,axiom,
! [V_U] : c_lessequals(v_g(V_U),v_k(V_U),t_b),
file(unknown,unknown) ).
tff(f_86,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file(unknown,unknown) ).
tff(f_85,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Opordered__ab__group__add(T) ),
file(unknown,unknown) ).
tff(f_75,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Ocomm__monoid__add(T) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [T_a,V_y] :
( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
| ( c_plus(c_0,V_y,T_a) = V_y ) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [T_a,V_a,V_b,V_c] :
( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
| ~ c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a)
| c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_80,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Oab__group__add(T) ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [T_a,V_a] :
( ~ class_OrderedGroup_Oab__group__add(T_a)
| ( c_minus(V_a,V_a,T_a) = c_0 ) ),
file(unknown,unknown) ).
tff(f_40,axiom,
! [T_a,V_a,V_b,V_c] :
( ~ class_OrderedGroup_Oab__group__add(T_a)
| ( c_plus(c_minus(V_a,V_b,T_a),V_c,T_a) = c_minus(c_plus(V_a,V_c,T_a),V_b,T_a) ) ),
file(unknown,unknown) ).
tff(f_45,axiom,
! [T_a,V_a,V_b,V_c] :
( ~ class_OrderedGroup_Oab__group__add(T_a)
| ( c_minus(V_a,c_minus(V_b,V_c,T_a),T_a) = c_minus(c_plus(V_a,V_c,T_a),V_b,T_a) ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [T_a,V_a,V_c,V_b] :
( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
| ~ c_lessequals(V_a,c_plus(V_c,V_b,T_a),T_a)
| c_lessequals(c_minus(V_a,V_b,T_a),V_c,T_a) ),
file(unknown,unknown) ).
tff(f_70,axiom,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file(unknown,unknown) ).
tff(c_16,plain,
! [V_U_25] : c_lessequals(v_g(V_U_25),v_k(V_U_25),t_b),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_26,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_27,plain,
! [T_29] :
( class_OrderedGroup_Opordered__ab__group__add(T_29)
| ~ class_Ring__and__Field_Oordered__idom(T_29) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_31,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[status(thm)],[c_26,c_27]) ).
tff(c_32,plain,
! [T_30] :
( class_OrderedGroup_Ocomm__monoid__add(T_30)
| ~ class_Ring__and__Field_Oordered__idom(T_30) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_36,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(resolution,[status(thm)],[c_26,c_32]) ).
tff(c_43,plain,
! [V_y_33,T_a_34] :
( ( c_plus(c_0,V_y_33,T_a_34) = V_y_33 )
| ~ class_OrderedGroup_Ocomm__monoid__add(T_a_34) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_46,plain,
! [V_y_33] : ( c_plus(c_0,V_y_33,t_b) = V_y_33 ),
inference(resolution,[status(thm)],[c_36,c_43]) ).
tff(c_122,plain,
! [V_a_45,V_c_46,V_b_47,T_a_48] :
( c_lessequals(V_a_45,c_minus(V_c_46,V_b_47,T_a_48),T_a_48)
| ~ c_lessequals(c_plus(V_a_45,V_b_47,T_a_48),V_c_46,T_a_48)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a_48) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_125,plain,
! [V_c_46,V_y_33] :
( c_lessequals(c_0,c_minus(V_c_46,V_y_33,t_b),t_b)
| ~ c_lessequals(V_y_33,V_c_46,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(superposition,[status(thm),theory(equality)],[c_46,c_122]) ).
tff(c_127,plain,
! [V_c_46,V_y_33] :
( c_lessequals(c_0,c_minus(V_c_46,V_y_33,t_b),t_b)
| ~ c_lessequals(V_y_33,V_c_46,t_b) ),
inference(demodulation,[status(thm),theory(equality)],[c_31,c_125]) ).
tff(c_37,plain,
! [T_31] :
( class_OrderedGroup_Oab__group__add(T_31)
| ~ class_Ring__and__Field_Oordered__idom(T_31) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_41,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[status(thm)],[c_26,c_37]) ).
tff(c_47,plain,
! [V_a_35,T_a_36] :
( ( c_minus(V_a_35,V_a_35,T_a_36) = c_0 )
| ~ class_OrderedGroup_Oab__group__add(T_a_36) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_50,plain,
! [V_a_35] : ( c_minus(V_a_35,V_a_35,t_b) = c_0 ),
inference(resolution,[status(thm)],[c_41,c_47]) ).
tff(c_175,plain,
! [V_a_52,V_b_53,T_a_54,V_c_55] :
( ( c_plus(c_minus(V_a_52,V_b_53,T_a_54),V_c_55,T_a_54) = c_minus(c_plus(V_a_52,V_c_55,T_a_54),V_b_53,T_a_54) )
| ~ class_OrderedGroup_Oab__group__add(T_a_54) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_203,plain,
! [V_a_35,V_c_55] :
( ( c_minus(c_plus(V_a_35,V_c_55,t_b),V_a_35,t_b) = c_plus(c_0,V_c_55,t_b) )
| ~ class_OrderedGroup_Oab__group__add(t_b) ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_175]) ).
tff(c_213,plain,
! [V_a_35,V_c_55] : ( c_minus(c_plus(V_a_35,V_c_55,t_b),V_a_35,t_b) = V_c_55 ),
inference(demodulation,[status(thm),theory(equality)],[c_41,c_46,c_203]) ).
tff(c_215,plain,
! [V_a_57,V_c_58] : ( c_minus(c_plus(V_a_57,V_c_58,t_b),V_a_57,t_b) = V_c_58 ),
inference(demodulation,[status(thm),theory(equality)],[c_41,c_46,c_203]) ).
tff(c_264,plain,
! [V_y_59] : ( c_minus(V_y_59,c_0,t_b) = V_y_59 ),
inference(superposition,[status(thm),theory(equality)],[c_46,c_215]) ).
tff(c_8,plain,
! [V_a_12,V_c_14,T_a_11,V_b_13] :
( ( c_minus(c_plus(V_a_12,V_c_14,T_a_11),V_b_13,T_a_11) = c_minus(V_a_12,c_minus(V_b_13,V_c_14,T_a_11),T_a_11) )
| ~ class_OrderedGroup_Oab__group__add(T_a_11) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_285,plain,
! [V_a_12,V_c_14] :
( ( c_minus(V_a_12,c_minus(c_0,V_c_14,t_b),t_b) = c_plus(V_a_12,V_c_14,t_b) )
| ~ class_OrderedGroup_Oab__group__add(t_b) ),
inference(superposition,[status(thm),theory(equality)],[c_264,c_8]) ).
tff(c_310,plain,
! [V_a_12,V_c_14] : ( c_minus(V_a_12,c_minus(c_0,V_c_14,t_b),t_b) = c_plus(V_a_12,V_c_14,t_b) ),
inference(demodulation,[status(thm),theory(equality)],[c_41,c_285]) ).
tff(c_1192,plain,
! [V_a_93,V_c_94] : ( c_minus(V_a_93,c_minus(c_0,V_c_94,t_b),t_b) = c_plus(V_a_93,V_c_94,t_b) ),
inference(demodulation,[status(thm),theory(equality)],[c_41,c_285]) ).
tff(c_1257,plain,
! [V_a_93,V_c_14] : ( c_plus(V_a_93,c_minus(c_0,V_c_14,t_b),t_b) = c_minus(V_a_93,c_plus(c_0,V_c_14,t_b),t_b) ),
inference(superposition,[status(thm),theory(equality)],[c_310,c_1192]) ).
tff(c_1321,plain,
! [V_a_93,V_c_14] : ( c_plus(V_a_93,c_minus(c_0,V_c_14,t_b),t_b) = c_minus(V_a_93,V_c_14,t_b) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1257]) ).
tff(c_246,plain,
! [V_b_13,V_c_14] :
( ( c_minus(V_b_13,c_minus(V_b_13,V_c_14,t_b),t_b) = V_c_14 )
| ~ class_OrderedGroup_Oab__group__add(t_b) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_215]) ).
tff(c_317,plain,
! [V_b_60,V_c_61] : ( c_minus(V_b_60,c_minus(V_b_60,V_c_61,t_b),t_b) = V_c_61 ),
inference(demodulation,[status(thm),theory(equality)],[c_41,c_246]) ).
tff(c_345,plain,
! [V_a_35,V_c_55] : ( c_minus(c_plus(V_a_35,V_c_55,t_b),V_c_55,t_b) = V_a_35 ),
inference(superposition,[status(thm),theory(equality)],[c_213,c_317]) ).
tff(c_1275,plain,
! [V_a_35,V_c_94] : ( c_plus(c_plus(V_a_35,c_minus(c_0,V_c_94,t_b),t_b),V_c_94,t_b) = V_a_35 ),
inference(superposition,[status(thm),theory(equality)],[c_345,c_1192]) ).
tff(c_2478,plain,
! [V_a_123,V_c_124] : ( c_plus(c_minus(V_a_123,V_c_124,t_b),V_c_124,t_b) = V_a_123 ),
inference(demodulation,[status(thm),theory(equality)],[c_1321,c_1275]) ).
tff(c_2590,plain,
! [V_c_55,V_a_35] : ( c_plus(V_c_55,V_a_35,t_b) = c_plus(V_a_35,V_c_55,t_b) ),
inference(superposition,[status(thm),theory(equality)],[c_213,c_2478]) ).
tff(c_1507,plain,
! [V_c_100] : ( c_plus(c_minus(c_0,V_c_100,t_b),V_c_100,t_b) = c_0 ),
inference(superposition,[status(thm),theory(equality)],[c_1192,c_50]) ).
tff(c_1563,plain,
! [V_c_14] : ( c_plus(c_plus(c_0,V_c_14,t_b),c_minus(c_0,V_c_14,t_b),t_b) = c_0 ),
inference(superposition,[status(thm),theory(equality)],[c_310,c_1507]) ).
tff(c_1629,plain,
! [V_c_101] : ( c_plus(V_c_101,c_minus(c_0,V_c_101,t_b),t_b) = c_0 ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1563]) ).
tff(c_12,plain,
! [V_a_20,V_c_22,V_b_21,T_a_19] :
( c_lessequals(V_a_20,c_minus(V_c_22,V_b_21,T_a_19),T_a_19)
| ~ c_lessequals(c_plus(V_a_20,V_b_21,T_a_19),V_c_22,T_a_19)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a_19) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_1672,plain,
! [V_c_101,V_c_22] :
( c_lessequals(V_c_101,c_minus(V_c_22,c_minus(c_0,V_c_101,t_b),t_b),t_b)
| ~ c_lessequals(c_0,V_c_22,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(superposition,[status(thm),theory(equality)],[c_1629,c_12]) ).
tff(c_7825,plain,
! [V_c_184,V_c_185] :
( c_lessequals(V_c_184,c_plus(V_c_185,V_c_184,t_b),t_b)
| ~ c_lessequals(c_0,V_c_185,t_b) ),
inference(demodulation,[status(thm),theory(equality)],[c_31,c_310,c_1672]) ).
tff(c_7876,plain,
! [V_c_55,V_a_35] :
( c_lessequals(V_c_55,c_plus(V_c_55,V_a_35,t_b),t_b)
| ~ c_lessequals(c_0,V_a_35,t_b) ),
inference(superposition,[status(thm),theory(equality)],[c_2590,c_7825]) ).
tff(c_10,plain,
! [V_a_16,V_b_18,T_a_15,V_c_17] :
( c_lessequals(c_minus(V_a_16,V_b_18,T_a_15),V_c_17,T_a_15)
| ~ c_lessequals(V_a_16,c_plus(V_c_17,V_b_18,T_a_15),T_a_15)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a_15) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_2232,plain,
! [V_c_117,V_c_118,T_a_119,V_a_116,V_b_120] :
( c_lessequals(c_minus(V_a_116,V_b_120,T_a_119),c_minus(V_c_118,V_c_117,T_a_119),T_a_119)
| ~ c_lessequals(c_minus(c_plus(V_a_116,V_c_117,T_a_119),V_b_120,T_a_119),V_c_118,T_a_119)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a_119)
| ~ class_OrderedGroup_Oab__group__add(T_a_119) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_12]) ).
tff(c_10371,plain,
! [V_b_220,V_c_217,V_c_219,V_a_218,T_a_216] :
( c_lessequals(c_minus(V_a_218,V_b_220,T_a_216),c_minus(V_c_219,V_c_217,T_a_216),T_a_216)
| ~ c_lessequals(c_minus(V_a_218,c_minus(V_b_220,V_c_217,T_a_216),T_a_216),V_c_219,T_a_216)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a_216)
| ~ class_OrderedGroup_Oab__group__add(T_a_216)
| ~ class_OrderedGroup_Oab__group__add(T_a_216) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_2232]) ).
tff(c_10993,plain,
! [V_a_228,V_c_230,V_b_229,T_a_231,V_c_227] :
( c_lessequals(c_minus(V_a_228,V_b_229,T_a_231),c_minus(V_c_230,V_c_227,T_a_231),T_a_231)
| ~ class_OrderedGroup_Oab__group__add(T_a_231)
| ~ c_lessequals(V_a_228,c_plus(V_c_230,c_minus(V_b_229,V_c_227,T_a_231),T_a_231),T_a_231)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a_231) ),
inference(resolution,[status(thm)],[c_10,c_10371]) ).
tff(c_18,plain,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_11020,plain,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| ~ c_lessequals(v_f(v_x),c_plus(v_f(v_x),c_minus(v_k(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(resolution,[status(thm)],[c_10993,c_18]) ).
tff(c_11183,plain,
~ c_lessequals(v_f(v_x),c_plus(v_f(v_x),c_minus(v_k(v_x),v_g(v_x),t_b),t_b),t_b),
inference(demodulation,[status(thm),theory(equality)],[c_31,c_41,c_11020]) ).
tff(c_23496,plain,
~ c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(resolution,[status(thm)],[c_7876,c_11183]) ).
tff(c_23501,plain,
~ c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(resolution,[status(thm)],[c_127,c_23496]) ).
tff(c_23505,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_23501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA028-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 15:43:16 EDT 2023
% 0.14/0.35 % CPUTime :
% 12.31/4.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.31/4.65
% 12.31/4.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.39/4.69
% 12.39/4.69 Inference rules
% 12.39/4.69 ----------------------
% 12.39/4.69 #Ref : 0
% 12.39/4.69 #Sup : 5137
% 12.39/4.69 #Fact : 0
% 12.39/4.69 #Define : 0
% 12.39/4.69 #Split : 1
% 12.39/4.69 #Chain : 0
% 12.39/4.69 #Close : 0
% 12.39/4.69
% 12.39/4.69 Ordering : KBO
% 12.39/4.69
% 12.39/4.69 Simplification rules
% 12.39/4.69 ----------------------
% 12.39/4.69 #Subsume : 229
% 12.39/4.69 #Demod : 9780
% 12.39/4.69 #Tautology : 1040
% 12.39/4.69 #SimpNegUnit : 26
% 12.39/4.69 #BackRed : 9
% 12.39/4.69
% 12.39/4.69 #Partial instantiations: 0
% 12.39/4.69 #Strategies tried : 1
% 12.39/4.69
% 12.39/4.69 Timing (in seconds)
% 12.39/4.69 ----------------------
% 12.39/4.69 Preprocessing : 0.48
% 12.39/4.69 Parsing : 0.26
% 12.39/4.69 CNF conversion : 0.03
% 12.39/4.69 Main loop : 3.12
% 12.39/4.69 Inferencing : 1.02
% 12.39/4.69 Reduction : 1.41
% 12.39/4.69 Demodulation : 1.19
% 12.39/4.69 BG Simplification : 0.16
% 12.39/4.69 Subsumption : 0.38
% 12.39/4.69 Abstraction : 0.19
% 12.39/4.69 MUC search : 0.00
% 12.39/4.69 Cooper : 0.00
% 12.39/4.69 Total : 3.67
% 12.39/4.69 Index Insertion : 0.00
% 12.39/4.69 Index Deletion : 0.00
% 12.39/4.69 Index Matching : 0.00
% 12.39/4.69 BG Taut test : 0.00
%------------------------------------------------------------------------------