TSTP Solution File: GRP489-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP489-1 : TPTP v8.1.2. Released v2.6.0.
% 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 10:41:21 EDT 2023

% Result   : Unsatisfiable 11.78s 4.36s
% Output   : CNFRefutation 11.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   91 (  84 unt;   7 typ;   0 def)
%            Number of atoms       :   84 (  83 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   3   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  136 (; 136   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > c3 > b3 > a3

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(a3,type,
    a3: $i ).

tff(c3,type,
    c3: $i ).

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

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

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

tff(b3,type,
    b3: $i ).

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

tff(f_25,axiom,
    ! [A,B] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ! [A] : ( inverse(A) = double_divide(A,identity) ),
    file(unknown,unknown) ).

tff(f_23,axiom,
    ! [A,B,C] : ( double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = C ),
    file(unknown,unknown) ).

tff(f_29,axiom,
    ! [A] : ( identity = double_divide(A,inverse(A)) ),
    file(unknown,unknown) ).

tff(f_31,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file(unknown,unknown) ).

tff(c_4,plain,
    ! [B_5,A_4] : ( double_divide(double_divide(B_5,A_4),identity) = multiply(A_4,B_5) ),
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_28,plain,
    ! [B_10,A_11] : ( double_divide(double_divide(B_10,A_11),identity) = multiply(A_11,B_10) ),
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_6,plain,
    ! [A_6] : ( double_divide(A_6,identity) = inverse(A_6) ),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_37,plain,
    ! [B_10,A_11] : ( inverse(double_divide(B_10,A_11)) = multiply(A_11,B_10) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).

tff(c_2,plain,
    ! [A_1,B_2,C_3] : ( double_divide(A_1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A_1,identity),double_divide(B_2,C_3))),B_2),identity)) = C_3 ),
    inference(cnfTransformation,[status(thm)],[f_23]) ).

tff(c_11,plain,
    ! [A_1,B_2,C_3] : ( double_divide(A_1,multiply(B_2,double_divide(identity,double_divide(inverse(A_1),double_divide(B_2,C_3))))) = C_3 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2]) ).

tff(c_236,plain,
    ! [A_21,B_22,C_23] : ( double_divide(A_21,multiply(B_22,double_divide(identity,double_divide(inverse(A_21),double_divide(B_22,C_23))))) = C_23 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2]) ).

tff(c_1053,plain,
    ! [B_44,A_45,C_46,A_47] : ( multiply(B_44,double_divide(identity,double_divide(inverse(A_45),double_divide(B_44,C_46)))) = double_divide(A_47,multiply(A_45,double_divide(identity,double_divide(inverse(A_47),C_46)))) ),
    inference(superposition,[status(thm),theory(equality)],[c_11,c_236]) ).

tff(c_1251,plain,
    ! [B_44,B_2,C_3] : ( multiply(B_44,double_divide(identity,double_divide(inverse(B_2),double_divide(B_44,double_divide(B_2,C_3))))) = C_3 ),
    inference(superposition,[status(thm),theory(equality)],[c_11,c_1053]) ).

tff(c_4940,plain,
    ! [B_93,B_94,C_95] : ( multiply(B_93,double_divide(identity,double_divide(inverse(B_94),double_divide(B_93,double_divide(B_94,C_95))))) = C_95 ),
    inference(superposition,[status(thm),theory(equality)],[c_11,c_1053]) ).

tff(c_65,plain,
    ! [B_13,A_14] : ( inverse(double_divide(B_13,A_14)) = multiply(A_14,B_13) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).

tff(c_83,plain,
    ! [A_6] : ( inverse(inverse(A_6)) = multiply(identity,A_6) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).

tff(c_8,plain,
    ! [A_7] : ( double_divide(A_7,inverse(A_7)) = identity ),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_281,plain,
    ! [A_21,A_7] : ( double_divide(A_21,multiply(A_7,double_divide(identity,double_divide(inverse(A_21),identity)))) = inverse(A_7) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_236]) ).

tff(c_287,plain,
    ! [A_21,A_7] : ( double_divide(A_21,multiply(A_7,double_divide(identity,multiply(identity,A_21)))) = inverse(A_7) ),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_6,c_281]) ).

tff(c_52,plain,
    ! [A_7] : ( multiply(inverse(A_7),A_7) = double_divide(identity,identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_28]) ).

tff(c_57,plain,
    ! [A_7] : ( multiply(inverse(A_7),A_7) = inverse(identity) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_52]) ).

tff(c_429,plain,
    ! [A_29,A_30] : ( double_divide(A_29,multiply(A_30,double_divide(identity,double_divide(inverse(A_29),inverse(A_30))))) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).

tff(c_471,plain,
    ! [A_29] : ( double_divide(A_29,multiply(inverse(A_29),double_divide(identity,identity))) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_429]) ).

tff(c_477,plain,
    ! [A_31] : ( double_divide(A_31,multiply(inverse(A_31),inverse(identity))) = identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_471]) ).

tff(c_509,plain,
    double_divide(inverse(identity),inverse(identity)) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_57,c_477]) ).

tff(c_278,plain,
    ! [A_21,A_6] : ( double_divide(A_21,multiply(A_6,double_divide(identity,double_divide(inverse(A_21),inverse(A_6))))) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).

tff(c_1339,plain,
    ! [A_48,A_49] : ( double_divide(A_48,multiply(A_49,double_divide(identity,multiply(identity,A_48)))) = inverse(A_49) ),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_6,c_281]) ).

tff(c_1412,plain,
    ! [A_49] : ( double_divide(double_divide(identity,double_divide(inverse(identity),inverse(identity))),multiply(A_49,identity)) = inverse(A_49) ),
    inference(superposition,[status(thm),theory(equality)],[c_278,c_1339]) ).

tff(c_1448,plain,
    ! [A_50] : ( double_divide(inverse(identity),multiply(A_50,identity)) = inverse(A_50) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_509,c_1412]) ).

tff(c_90,plain,
    ! [A_15] : ( inverse(inverse(A_15)) = multiply(identity,A_15) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).

tff(c_102,plain,
    ! [A_15] : ( double_divide(inverse(A_15),multiply(identity,A_15)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_90,c_8]) ).

tff(c_1483,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_1448,c_102]) ).

tff(c_476,plain,
    ! [A_29] : ( double_divide(A_29,multiply(inverse(A_29),inverse(identity))) = identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_471]) ).

tff(c_2034,plain,
    ! [A_58] : ( double_divide(A_58,multiply(inverse(A_58),identity)) = identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_1483,c_476]) ).

tff(c_2070,plain,
    ! [A_1,A_58] : ( double_divide(A_1,multiply(A_58,double_divide(identity,double_divide(inverse(A_1),identity)))) = multiply(inverse(A_58),identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_2034,c_11]) ).

tff(c_2217,plain,
    ! [A_61] : ( multiply(inverse(A_61),identity) = inverse(A_61) ),
    inference(demodulation,[status(thm),theory(equality)],[c_287,c_83,c_6,c_2070]) ).

tff(c_2249,plain,
    ! [A_6] : ( multiply(multiply(identity,A_6),identity) = inverse(inverse(A_6)) ),
    inference(superposition,[status(thm),theory(equality)],[c_83,c_2217]) ).

tff(c_2259,plain,
    ! [A_6] : ( multiply(multiply(identity,A_6),identity) = multiply(identity,A_6) ),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_2249]) ).

tff(c_4957,plain,
    ! [B_94,C_95] : ( multiply(identity,double_divide(identity,double_divide(inverse(B_94),double_divide(identity,double_divide(B_94,C_95))))) = multiply(C_95,identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_4940,c_2259]) ).

tff(c_5106,plain,
    ! [C_95] : ( multiply(C_95,identity) = C_95 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1251,c_4957]) ).

tff(c_1446,plain,
    ! [A_49] : ( double_divide(inverse(identity),multiply(A_49,identity)) = inverse(A_49) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_509,c_1412]) ).

tff(c_1920,plain,
    ! [A_56] : ( double_divide(identity,multiply(A_56,identity)) = inverse(A_56) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1483,c_1446]) ).

tff(c_1951,plain,
    ! [A_56] : ( multiply(multiply(A_56,identity),identity) = inverse(inverse(A_56)) ),
    inference(superposition,[status(thm),theory(equality)],[c_1920,c_37]) ).

tff(c_1979,plain,
    ! [A_56] : ( multiply(multiply(A_56,identity),identity) = multiply(identity,A_56) ),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_1951]) ).

tff(c_5137,plain,
    ! [A_56] : ( multiply(identity,A_56) = A_56 ),
    inference(demodulation,[status(thm),theory(equality)],[c_5106,c_5106,c_1979]) ).

tff(c_5377,plain,
    ! [A_98] : ( inverse(inverse(A_98)) = A_98 ),
    inference(demodulation,[status(thm),theory(equality)],[c_5137,c_83]) ).

tff(c_5490,plain,
    ! [A_99] : ( double_divide(inverse(A_99),A_99) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_5377,c_8]) ).

tff(c_5568,plain,
    ! [B_2,C_3] : ( double_divide(double_divide(B_2,C_3),multiply(B_2,double_divide(identity,identity))) = C_3 ),
    inference(superposition,[status(thm),theory(equality)],[c_5490,c_11]) ).

tff(c_5622,plain,
    ! [B_2,C_3] : ( double_divide(double_divide(B_2,C_3),B_2) = C_3 ),
    inference(demodulation,[status(thm),theory(equality)],[c_5106,c_1483,c_6,c_5568]) ).

tff(c_80,plain,
    ! [B_5,A_4] : ( multiply(identity,double_divide(B_5,A_4)) = inverse(multiply(A_4,B_5)) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).

tff(c_5257,plain,
    ! [A_4,B_5] : ( inverse(multiply(A_4,B_5)) = double_divide(B_5,A_4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5137,c_80]) ).

tff(c_2109,plain,
    ! [A_58] : ( multiply(inverse(A_58),identity) = inverse(A_58) ),
    inference(demodulation,[status(thm),theory(equality)],[c_287,c_83,c_6,c_2070]) ).

tff(c_1526,plain,
    ! [A_49] : ( double_divide(identity,multiply(A_49,identity)) = inverse(A_49) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1483,c_1446]) ).

tff(c_2223,plain,
    ! [A_61] : ( double_divide(identity,inverse(A_61)) = inverse(inverse(A_61)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2217,c_1526]) ).

tff(c_2315,plain,
    ! [A_63] : ( double_divide(identity,inverse(A_63)) = multiply(identity,A_63) ),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_2223]) ).

tff(c_2346,plain,
    ! [A_63] : ( multiply(inverse(A_63),identity) = inverse(multiply(identity,A_63)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2315,c_37]) ).

tff(c_2383,plain,
    ! [A_63] : ( inverse(multiply(identity,A_63)) = inverse(A_63) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2109,c_2346]) ).

tff(c_3862,plain,
    ! [A_82] : ( multiply(multiply(identity,A_82),identity) = multiply(identity,A_82) ),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_2249]) ).

tff(c_3882,plain,
    ! [A_82] : ( double_divide(identity,multiply(identity,A_82)) = inverse(multiply(identity,A_82)) ),
    inference(superposition,[status(thm),theory(equality)],[c_3862,c_1526]) ).

tff(c_3936,plain,
    ! [A_82] : ( double_divide(identity,multiply(identity,A_82)) = inverse(A_82) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2383,c_3882]) ).

tff(c_8103,plain,
    ! [A_148,A_149] : ( double_divide(A_148,multiply(A_149,inverse(A_148))) = inverse(A_149) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3936,c_287]) ).

tff(c_2254,plain,
    ! [A_61] : ( double_divide(identity,inverse(A_61)) = multiply(identity,A_61) ),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_2223]) ).

tff(c_5253,plain,
    ! [A_61] : ( double_divide(identity,inverse(A_61)) = A_61 ),
    inference(demodulation,[status(thm),theory(equality)],[c_5137,c_2254]) ).

tff(c_5139,plain,
    ! [A_49] : ( double_divide(identity,A_49) = inverse(A_49) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5106,c_1526]) ).

tff(c_1133,plain,
    ! [B_44,A_45,C_3] : ( multiply(B_44,double_divide(identity,double_divide(inverse(A_45),double_divide(B_44,double_divide(A_45,C_3))))) = C_3 ),
    inference(superposition,[status(thm),theory(equality)],[c_1053,c_11]) ).

tff(c_6412,plain,
    ! [B_118,A_119,C_120] : ( multiply(B_118,multiply(double_divide(B_118,double_divide(A_119,C_120)),inverse(A_119))) = C_120 ),
    inference(demodulation,[status(thm),theory(equality)],[c_37,c_5139,c_1133]) ).

tff(c_6468,plain,
    ! [B_118,A_61] : ( multiply(B_118,multiply(double_divide(B_118,A_61),inverse(identity))) = inverse(A_61) ),
    inference(superposition,[status(thm),theory(equality)],[c_5253,c_6412]) ).

tff(c_6525,plain,
    ! [B_118,A_61] : ( multiply(B_118,double_divide(B_118,A_61)) = inverse(A_61) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5106,c_1483,c_6468]) ).

tff(c_8119,plain,
    ! [A_149,A_148] : ( inverse(multiply(A_149,inverse(A_148))) = multiply(A_148,inverse(A_149)) ),
    inference(superposition,[status(thm),theory(equality)],[c_8103,c_6525]) ).

tff(c_8219,plain,
    ! [A_148,A_149] : ( multiply(A_148,inverse(A_149)) = double_divide(inverse(A_148),A_149) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5257,c_8119]) ).

tff(c_5260,plain,
    ! [A_6] : ( inverse(inverse(A_6)) = A_6 ),
    inference(demodulation,[status(thm),theory(equality)],[c_5137,c_83]) ).

tff(c_8614,plain,
    ! [A_154,A_155] : ( double_divide(inverse(A_154),multiply(A_155,A_154)) = inverse(A_155) ),
    inference(superposition,[status(thm),theory(equality)],[c_5260,c_8103]) ).

tff(c_8632,plain,
    ! [A_154,A_155] : ( multiply(inverse(A_154),inverse(A_155)) = inverse(multiply(A_155,A_154)) ),
    inference(superposition,[status(thm),theory(equality)],[c_8614,c_6525]) ).

tff(c_8729,plain,
    ! [A_154,A_155] : ( multiply(inverse(A_154),inverse(A_155)) = double_divide(A_154,A_155) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5257,c_8632]) ).

tff(c_1295,plain,
    ! [A_47,A_45,A_7] : ( double_divide(A_47,multiply(A_45,double_divide(identity,double_divide(inverse(A_47),inverse(A_7))))) = multiply(A_7,double_divide(identity,double_divide(inverse(A_45),identity))) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_1053]) ).

tff(c_1337,plain,
    ! [A_47,A_45,A_7] : ( double_divide(A_47,multiply(A_45,double_divide(identity,double_divide(inverse(A_47),inverse(A_7))))) = multiply(A_7,double_divide(identity,multiply(identity,A_45))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_6,c_1295]) ).

tff(c_14004,plain,
    ! [A_211,A_212,A_213] : ( double_divide(A_211,multiply(A_212,double_divide(A_213,A_211))) = double_divide(inverse(A_213),A_212) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8219,c_8729,c_5139,c_37,c_5139,c_5137,c_1337]) ).

tff(c_14134,plain,
    ! [B_2,C_3,A_212] : ( double_divide(inverse(double_divide(B_2,C_3)),A_212) = double_divide(B_2,multiply(A_212,C_3)) ),
    inference(superposition,[status(thm),theory(equality)],[c_5622,c_14004]) ).

tff(c_19053,plain,
    ! [C_261,B_262,A_263] : ( double_divide(multiply(C_261,B_262),A_263) = double_divide(B_262,multiply(A_263,C_261)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_37,c_14134]) ).

tff(c_20317,plain,
    ! [B_273,A_274,C_275] : ( double_divide(double_divide(B_273,multiply(A_274,C_275)),identity) = multiply(A_274,multiply(C_275,B_273)) ),
    inference(superposition,[status(thm),theory(equality)],[c_19053,c_4]) ).

tff(c_20525,plain,
    ! [A_274,C_275,B_5] : ( multiply(multiply(A_274,C_275),B_5) = multiply(A_274,multiply(C_275,B_5)) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_20317]) ).

tff(c_10,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_21386,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_20525,c_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : GRP489-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.15  % 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
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 22:22:07 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 11.78/4.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.78/4.38  
% 11.78/4.38  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.78/4.45  
% 11.78/4.45  Inference rules
% 11.78/4.45  ----------------------
% 11.78/4.45  #Ref     : 0
% 11.78/4.45  #Sup     : 5289
% 11.78/4.45  #Fact    : 0
% 11.78/4.45  #Define  : 0
% 11.78/4.45  #Split   : 0
% 11.78/4.45  #Chain   : 0
% 11.78/4.45  #Close   : 0
% 11.78/4.45  
% 11.78/4.45  Ordering : KBO
% 11.78/4.45  
% 11.78/4.45  Simplification rules
% 11.78/4.45  ----------------------
% 11.78/4.45  #Subsume      : 20
% 11.78/4.45  #Demod        : 9504
% 11.78/4.45  #Tautology    : 2661
% 11.78/4.45  #SimpNegUnit  : 0
% 11.78/4.45  #BackRed      : 75
% 11.78/4.45  
% 11.78/4.45  #Partial instantiations: 0
% 11.78/4.45  #Strategies tried      : 1
% 11.78/4.45  
% 11.78/4.45  Timing (in seconds)
% 11.78/4.45  ----------------------
% 11.78/4.45  Preprocessing        : 0.43
% 11.78/4.45  Parsing              : 0.23
% 11.78/4.45  CNF conversion       : 0.02
% 11.78/4.45  Main loop            : 2.73
% 11.78/4.45  Inferencing          : 0.79
% 11.78/4.45  Reduction            : 1.31
% 11.78/4.46  Demodulation         : 1.13
% 11.78/4.46  BG Simplification    : 0.10
% 11.78/4.46  Subsumption          : 0.33
% 11.78/4.46  Abstraction          : 0.16
% 11.78/4.46  MUC search           : 0.00
% 11.78/4.46  Cooper               : 0.00
% 11.78/4.46  Total                : 3.27
% 11.78/4.46  Index Insertion      : 0.00
% 11.78/4.46  Index Deletion       : 0.00
% 11.78/4.46  Index Matching       : 0.00
% 11.78/4.46  BG Taut test         : 0.00
%------------------------------------------------------------------------------