TSTP Solution File: LCL429-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL429-2 : 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 : n028.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 10:48:04 EDT 2023
% Result : Unsatisfiable 3.16s 1.77s
% Output : CNFRefutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of formulae : 43 ( 12 unt; 17 typ; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 10 >; 14 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 97 (; 97 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_minus > c_insert > c_PropLog_Opl_Oop_A_N_62 > c_PropLog_Ohyps > c_PropLog_Othms > c_PropLog_Opl_Ovar > #nlpp > tc_set > tc_PropLog_Opl > v_v > v_t > v_p > v_F > t_a > c_emptyset > c_PropLog_Opl_Ofalse
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_PropLog_Opl_Oop_A_N_62,type,
c_PropLog_Opl_Oop_A_N_62: ( $i * $i * $i ) > $i ).
tff(c_PropLog_Opl_Ofalse,type,
c_PropLog_Opl_Ofalse: $i ).
tff(tc_set,type,
tc_set: $i > $i ).
tff(c_minus,type,
c_minus: ( $i * $i * $i ) > $i ).
tff(c_emptyset,type,
c_emptyset: $i ).
tff(t_a,type,
t_a: $i ).
tff(c_PropLog_Othms,type,
c_PropLog_Othms: ( $i * $i ) > $i ).
tff(c_PropLog_Ohyps,type,
c_PropLog_Ohyps: ( $i * $i * $i ) > $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(tc_PropLog_Opl,type,
tc_PropLog_Opl: $i > $i ).
tff(v_v,type,
v_v: $i ).
tff(v_F,type,
v_F: $i ).
tff(v_p,type,
v_p: $i ).
tff(c_insert,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(c_PropLog_Opl_Ovar,type,
c_PropLog_Opl_Ovar: ( $i * $i ) > $i ).
tff(v_t,type,
v_t: $i ).
tff(f_57,axiom,
! [V_U] : c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,V_U,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
file(unknown,unknown) ).
tff(f_37,axiom,
! [V_B,V_C,T_a,V_a] : c_lessequals(c_minus(V_B,V_C,tc_set(T_a)),c_insert(V_a,c_minus(V_B,c_insert(V_a,V_C,T_a),tc_set(T_a)),T_a),tc_set(T_a)),
file(unknown,unknown) ).
tff(f_55,axiom,
! [V_p,V_G,T_a,V_H] :
( ~ c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))
| ~ c_lessequals(V_G,V_H,tc_set(tc_PropLog_Opl(T_a)))
| c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [V_p,V_t,V_v,T_a] : c_lessequals(c_PropLog_Ohyps(V_p,c_minus(V_t,c_insert(V_v,c_emptyset,T_a),tc_set(T_a)),T_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(V_v,T_a),c_PropLog_Opl_Ofalse,T_a),c_minus(c_PropLog_Ohyps(V_p,V_t,T_a),c_insert(c_PropLog_Opl_Ovar(V_v,T_a),c_emptyset,tc_PropLog_Opl(T_a)),tc_set(tc_PropLog_Opl(T_a))),tc_PropLog_Opl(T_a)),tc_set(tc_PropLog_Opl(T_a))),
file(unknown,unknown) ).
tff(f_33,axiom,
! [V_B,T_a,V_A,V_C,V_p] :
( ~ c_in(V_p,c_PropLog_Othms(c_minus(V_A,V_B,tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a))
| ~ c_lessequals(V_A,V_C,tc_set(tc_PropLog_Opl(T_a)))
| c_in(V_p,c_PropLog_Othms(c_minus(V_C,V_B,tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a)) ),
file(unknown,unknown) ).
tff(f_39,axiom,
! [V_B,V_a,T_a,V_c,V_D] : c_lessequals(c_minus(c_insert(V_a,c_minus(V_B,c_insert(V_c,c_emptyset,T_a),tc_set(T_a)),T_a),V_D,tc_set(T_a)),c_insert(V_a,c_minus(V_B,c_insert(V_c,V_D,T_a),tc_set(T_a)),T_a),tc_set(T_a)),
file(unknown,unknown) ).
tff(f_47,axiom,
! [V_q,V_p,V_H,T_a] :
( ~ c_in(V_q,c_PropLog_Othms(c_insert(V_p,V_H,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a))
| ~ c_in(V_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Ofalse,T_a),V_H,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a))
| c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ),
file(unknown,unknown) ).
tff(f_59,axiom,
~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
file(unknown,unknown) ).
tff(c_14,plain,
! [V_U_27] : c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,V_U_27,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_6,plain,
! [V_B_10,V_C_11,T_a_12,V_a_13] : c_lessequals(c_minus(V_B_10,V_C_11,tc_set(T_a_12)),c_insert(V_a_13,c_minus(V_B_10,c_insert(V_a_13,V_C_11,T_a_12),tc_set(T_a_12)),T_a_12),tc_set(T_a_12)),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_19,plain,
! [V_p_33,V_H_34,T_a_35,V_G_36] :
( c_in(V_p_33,c_PropLog_Othms(V_H_34,T_a_35),tc_PropLog_Opl(T_a_35))
| ~ c_lessequals(V_G_36,V_H_34,tc_set(tc_PropLog_Opl(T_a_35)))
| ~ c_in(V_p_33,c_PropLog_Othms(V_G_36,T_a_35),tc_PropLog_Opl(T_a_35)) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_23,plain,
! [T_a_35,V_C_11,V_p_33,V_B_10,V_a_13] :
( c_in(V_p_33,c_PropLog_Othms(c_insert(V_a_13,c_minus(V_B_10,c_insert(V_a_13,V_C_11,tc_PropLog_Opl(T_a_35)),tc_set(tc_PropLog_Opl(T_a_35))),tc_PropLog_Opl(T_a_35)),T_a_35),tc_PropLog_Opl(T_a_35))
| ~ c_in(V_p_33,c_PropLog_Othms(c_minus(V_B_10,V_C_11,tc_set(tc_PropLog_Opl(T_a_35))),T_a_35),tc_PropLog_Opl(T_a_35)) ),
inference(resolution,[status(thm)],[c_6,c_19]) ).
tff(c_45,plain,
! [V_p_56,V_t_57,V_v_58,T_a_59] : c_lessequals(c_PropLog_Ohyps(V_p_56,c_minus(V_t_57,c_insert(V_v_58,c_emptyset,T_a_59),tc_set(T_a_59)),T_a_59),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(V_v_58,T_a_59),c_PropLog_Opl_Ofalse,T_a_59),c_minus(c_PropLog_Ohyps(V_p_56,V_t_57,T_a_59),c_insert(c_PropLog_Opl_Ovar(V_v_58,T_a_59),c_emptyset,tc_PropLog_Opl(T_a_59)),tc_set(tc_PropLog_Opl(T_a_59))),tc_PropLog_Opl(T_a_59)),tc_set(tc_PropLog_Opl(T_a_59))),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_2,plain,
! [V_A_3,V_p_5,T_a_2,V_C_4,V_B_1] :
( c_in(V_p_5,c_PropLog_Othms(c_minus(V_C_4,V_B_1,tc_set(tc_PropLog_Opl(T_a_2))),T_a_2),tc_PropLog_Opl(T_a_2))
| ~ c_lessequals(V_A_3,V_C_4,tc_set(tc_PropLog_Opl(T_a_2)))
| ~ c_in(V_p_5,c_PropLog_Othms(c_minus(V_A_3,V_B_1,tc_set(tc_PropLog_Opl(T_a_2))),T_a_2),tc_PropLog_Opl(T_a_2)) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_72,plain,
! [V_p_97,V_B_96,V_v_99,V_t_94,T_a_98,V_p_95] :
( c_in(V_p_95,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(V_v_99,T_a_98),c_PropLog_Opl_Ofalse,T_a_98),c_minus(c_PropLog_Ohyps(V_p_97,V_t_94,T_a_98),c_insert(c_PropLog_Opl_Ovar(V_v_99,T_a_98),c_emptyset,tc_PropLog_Opl(T_a_98)),tc_set(tc_PropLog_Opl(T_a_98))),tc_PropLog_Opl(T_a_98)),V_B_96,tc_set(tc_PropLog_Opl(T_a_98))),T_a_98),tc_PropLog_Opl(T_a_98))
| ~ c_in(V_p_95,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p_97,c_minus(V_t_94,c_insert(V_v_99,c_emptyset,T_a_98),tc_set(T_a_98)),T_a_98),V_B_96,tc_set(tc_PropLog_Opl(T_a_98))),T_a_98),tc_PropLog_Opl(T_a_98)) ),
inference(resolution,[status(thm)],[c_45,c_2]) ).
tff(c_24,plain,
! [V_B_38,T_a_40,V_c_39,V_a_37,V_D_41] : c_lessequals(c_minus(c_insert(V_a_37,c_minus(V_B_38,c_insert(V_c_39,c_emptyset,T_a_40),tc_set(T_a_40)),T_a_40),V_D_41,tc_set(T_a_40)),c_insert(V_a_37,c_minus(V_B_38,c_insert(V_c_39,V_D_41,T_a_40),tc_set(T_a_40)),T_a_40),tc_set(T_a_40)),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_12,plain,
! [V_p_23,V_H_26,T_a_25,V_G_24] :
( c_in(V_p_23,c_PropLog_Othms(V_H_26,T_a_25),tc_PropLog_Opl(T_a_25))
| ~ c_lessequals(V_G_24,V_H_26,tc_set(tc_PropLog_Opl(T_a_25)))
| ~ c_in(V_p_23,c_PropLog_Othms(V_G_24,T_a_25),tc_PropLog_Opl(T_a_25)) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_28,plain,
! [V_B_38,V_p_23,V_c_39,V_a_37,V_D_41,T_a_25] :
( c_in(V_p_23,c_PropLog_Othms(c_insert(V_a_37,c_minus(V_B_38,c_insert(V_c_39,V_D_41,tc_PropLog_Opl(T_a_25)),tc_set(tc_PropLog_Opl(T_a_25))),tc_PropLog_Opl(T_a_25)),T_a_25),tc_PropLog_Opl(T_a_25))
| ~ c_in(V_p_23,c_PropLog_Othms(c_minus(c_insert(V_a_37,c_minus(V_B_38,c_insert(V_c_39,c_emptyset,tc_PropLog_Opl(T_a_25)),tc_set(tc_PropLog_Opl(T_a_25))),tc_PropLog_Opl(T_a_25)),V_D_41,tc_set(tc_PropLog_Opl(T_a_25))),T_a_25),tc_PropLog_Opl(T_a_25)) ),
inference(resolution,[status(thm)],[c_24,c_12]) ).
tff(c_77,plain,
! [V_p_102,V_p_100,V_v_103,V_B_104,V_t_105,T_a_101] :
( c_in(V_p_102,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(V_v_103,T_a_101),c_PropLog_Opl_Ofalse,T_a_101),c_minus(c_PropLog_Ohyps(V_p_100,V_t_105,T_a_101),c_insert(c_PropLog_Opl_Ovar(V_v_103,T_a_101),V_B_104,tc_PropLog_Opl(T_a_101)),tc_set(tc_PropLog_Opl(T_a_101))),tc_PropLog_Opl(T_a_101)),T_a_101),tc_PropLog_Opl(T_a_101))
| ~ c_in(V_p_102,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p_100,c_minus(V_t_105,c_insert(V_v_103,c_emptyset,T_a_101),tc_set(T_a_101)),T_a_101),V_B_104,tc_set(tc_PropLog_Opl(T_a_101))),T_a_101),tc_PropLog_Opl(T_a_101)) ),
inference(resolution,[status(thm)],[c_72,c_28]) ).
tff(c_10,plain,
! [V_q_19,V_H_21,T_a_22,V_p_20] :
( c_in(V_q_19,c_PropLog_Othms(V_H_21,T_a_22),tc_PropLog_Opl(T_a_22))
| ~ c_in(V_q_19,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(V_p_20,c_PropLog_Opl_Ofalse,T_a_22),V_H_21,tc_PropLog_Opl(T_a_22)),T_a_22),tc_PropLog_Opl(T_a_22))
| ~ c_in(V_q_19,c_PropLog_Othms(c_insert(V_p_20,V_H_21,tc_PropLog_Opl(T_a_22)),T_a_22),tc_PropLog_Opl(T_a_22)) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_94,plain,
! [V_p_117,V_p_121,V_B_120,T_a_118,V_v_116,V_t_119] :
( c_in(V_p_117,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p_121,V_t_119,T_a_118),c_insert(c_PropLog_Opl_Ovar(V_v_116,T_a_118),V_B_120,tc_PropLog_Opl(T_a_118)),tc_set(tc_PropLog_Opl(T_a_118))),T_a_118),tc_PropLog_Opl(T_a_118))
| ~ c_in(V_p_117,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(V_v_116,T_a_118),c_minus(c_PropLog_Ohyps(V_p_121,V_t_119,T_a_118),c_insert(c_PropLog_Opl_Ovar(V_v_116,T_a_118),V_B_120,tc_PropLog_Opl(T_a_118)),tc_set(tc_PropLog_Opl(T_a_118))),tc_PropLog_Opl(T_a_118)),T_a_118),tc_PropLog_Opl(T_a_118))
| ~ c_in(V_p_117,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p_121,c_minus(V_t_119,c_insert(V_v_116,c_emptyset,T_a_118),tc_set(T_a_118)),T_a_118),V_B_120,tc_set(tc_PropLog_Opl(T_a_118))),T_a_118),tc_PropLog_Opl(T_a_118)) ),
inference(resolution,[status(thm)],[c_77,c_10]) ).
tff(c_107,plain,
! [V_p_136,V_p_137,V_v_135,V_C_133,T_a_134,V_t_132] :
( c_in(V_p_136,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p_137,V_t_132,T_a_134),c_insert(c_PropLog_Opl_Ovar(V_v_135,T_a_134),V_C_133,tc_PropLog_Opl(T_a_134)),tc_set(tc_PropLog_Opl(T_a_134))),T_a_134),tc_PropLog_Opl(T_a_134))
| ~ c_in(V_p_136,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p_137,c_minus(V_t_132,c_insert(V_v_135,c_emptyset,T_a_134),tc_set(T_a_134)),T_a_134),V_C_133,tc_set(tc_PropLog_Opl(T_a_134))),T_a_134),tc_PropLog_Opl(T_a_134))
| ~ c_in(V_p_136,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p_137,V_t_132,T_a_134),V_C_133,tc_set(tc_PropLog_Opl(T_a_134))),T_a_134),tc_PropLog_Opl(T_a_134)) ),
inference(resolution,[status(thm)],[c_23,c_94]) ).
tff(c_115,plain,
! [V_t_132,V_v_135] :
( c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,V_t_132,t_a),c_insert(c_PropLog_Opl_Ovar(V_v_135,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,V_t_132,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[c_14,c_107]) ).
tff(c_119,plain,
! [V_t_132,V_v_135] : c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,V_t_132,t_a),c_insert(c_PropLog_Opl_Ovar(V_v_135,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_115]) ).
tff(c_16,plain,
~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_122,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_119,c_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL429-2 : 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
% 0.13/0.35 % Computer : n028.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 : Thu Aug 3 13:40:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.16/1.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.16/1.77
% 3.16/1.77 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.44/1.81
% 3.44/1.81 Inference rules
% 3.44/1.81 ----------------------
% 3.44/1.81 #Ref : 0
% 3.44/1.81 #Sup : 18
% 3.44/1.82 #Fact : 0
% 3.44/1.82 #Define : 0
% 3.44/1.82 #Split : 0
% 3.44/1.82 #Chain : 0
% 3.44/1.82 #Close : 0
% 3.44/1.82
% 3.44/1.82 Ordering : KBO
% 3.44/1.82
% 3.44/1.82 Simplification rules
% 3.44/1.82 ----------------------
% 3.44/1.82 #Subsume : 0
% 3.44/1.82 #Demod : 2
% 3.44/1.82 #Tautology : 0
% 3.44/1.82 #SimpNegUnit : 0
% 3.44/1.82 #BackRed : 1
% 3.44/1.82
% 3.44/1.82 #Partial instantiations: 0
% 3.44/1.82 #Strategies tried : 1
% 3.44/1.82
% 3.44/1.82 Timing (in seconds)
% 3.44/1.82 ----------------------
% 3.44/1.82 Preprocessing : 0.47
% 3.44/1.82 Parsing : 0.27
% 3.44/1.82 CNF conversion : 0.02
% 3.44/1.82 Main loop : 0.32
% 3.44/1.82 Inferencing : 0.15
% 3.44/1.82 Reduction : 0.08
% 3.44/1.82 Demodulation : 0.06
% 3.44/1.82 BG Simplification : 0.01
% 3.44/1.82 Subsumption : 0.06
% 3.44/1.82 Abstraction : 0.01
% 3.44/1.82 MUC search : 0.00
% 3.44/1.82 Cooper : 0.00
% 3.44/1.82 Total : 0.84
% 3.44/1.82 Index Insertion : 0.00
% 3.44/1.82 Index Deletion : 0.00
% 3.44/1.82 Index Matching : 0.00
% 3.44/1.82 BG Taut test : 0.00
%------------------------------------------------------------------------------