TSTP Solution File: GRP078-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP078-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n017.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 10:39:47 EDT 2023

% Result   : Unsatisfiable 7.91s 3.08s
% Output   : CNFRefutation 8.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   94 (  81 unt;   9 typ;   0 def)
%            Number of atoms       :   92 (  90 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  13   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   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    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  122 (; 122   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > c3 > b3 > a3 > a2 > a1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(a1,type,
    a1: $i ).

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(a2,type,
    a2: $i ).

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

tff(f_29,axiom,
    ! [X,Y] : ( multiply(X,Y) = double_divide(double_divide(Y,X),identity) ),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ! [X] : ( identity = double_divide(X,inverse(X)) ),
    file(unknown,unknown) ).

tff(f_32,axiom,
    ! [X] : ( inverse(X) = double_divide(X,identity) ),
    file(unknown,unknown) ).

tff(f_43,axiom,
    ( ( multiply(inverse(a1),a1) != identity )
    | ( multiply(identity,a2) != a2 )
    | ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
    file(unknown,unknown) ).

tff(f_26,axiom,
    ! [X,Y,Z] : ( double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))) = Z ),
    file(unknown,unknown) ).

tff(c_4,plain,
    ! [Y_5,X_4] : ( double_divide(double_divide(Y_5,X_4),identity) = multiply(X_4,Y_5) ),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_8,plain,
    ! [X_7] : ( double_divide(X_7,inverse(X_7)) = identity ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_6,plain,
    ! [X_6] : ( double_divide(X_6,identity) = inverse(X_6) ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_28,plain,
    ! [Y_10,X_11] : ( double_divide(double_divide(Y_10,X_11),identity) = multiply(X_11,Y_10) ),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_52,plain,
    ! [X_7] : ( multiply(inverse(X_7),X_7) = double_divide(identity,identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_28]) ).

tff(c_57,plain,
    ! [X_7] : ( multiply(inverse(X_7),X_7) = inverse(identity) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_52]) ).

tff(c_10,plain,
    ( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(identity,a2) != a2 )
    | ( multiply(inverse(a1),a1) != identity ) ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_193,plain,
    ( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(identity,a2) != a2 )
    | ( inverse(identity) != identity ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_57,c_10]) ).

tff(c_194,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_193]) ).

tff(c_158,plain,
    ! [X_19] : ( double_divide(inverse(X_19),identity) = multiply(identity,X_19) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).

tff(c_170,plain,
    ! [X_19] : ( multiply(identity,inverse(X_19)) = double_divide(multiply(identity,X_19),identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_158,c_4]) ).

tff(c_187,plain,
    ! [X_19] : ( multiply(identity,inverse(X_19)) = inverse(multiply(identity,X_19)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_170]) ).

tff(c_2,plain,
    ! [X_1,Y_2,Z_3] : ( double_divide(double_divide(identity,X_1),double_divide(identity,double_divide(double_divide(double_divide(X_1,Y_2),identity),double_divide(Z_3,Y_2)))) = Z_3 ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_90,plain,
    ! [X_15,Y_16,Z_17] : ( double_divide(double_divide(identity,X_15),double_divide(identity,double_divide(multiply(Y_16,X_15),double_divide(Z_17,Y_16)))) = Z_17 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).

tff(c_558,plain,
    ! [X_32,X_33] : ( double_divide(double_divide(identity,X_32),double_divide(identity,double_divide(multiply(identity,X_32),inverse(X_33)))) = X_33 ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_90]) ).

tff(c_606,plain,
    ! [X_32] : ( double_divide(double_divide(identity,X_32),double_divide(identity,identity)) = multiply(identity,X_32) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_558]) ).

tff(c_612,plain,
    ! [X_34] : ( double_divide(double_divide(identity,X_34),inverse(identity)) = multiply(identity,X_34) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_606]) ).

tff(c_644,plain,
    multiply(identity,inverse(identity)) = double_divide(identity,inverse(identity)),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_612]) ).

tff(c_648,plain,
    inverse(multiply(identity,identity)) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_187,c_8,c_644]) ).

tff(c_640,plain,
    double_divide(inverse(identity),inverse(identity)) = multiply(identity,identity),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_612]) ).

tff(c_37,plain,
    ! [Y_10,X_11] : ( inverse(double_divide(Y_10,X_11)) = multiply(X_11,Y_10) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).

tff(c_729,plain,
    multiply(inverse(identity),inverse(identity)) = inverse(multiply(identity,identity)),
    inference(superposition,[status(thm),theory(equality)],[c_640,c_37]) ).

tff(c_735,plain,
    multiply(inverse(identity),inverse(identity)) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_729]) ).

tff(c_128,plain,
    ! [X_15,X_7] : ( double_divide(double_divide(identity,X_15),double_divide(identity,double_divide(multiply(inverse(X_7),X_15),identity))) = X_7 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_90]) ).

tff(c_132,plain,
    ! [X_15,X_7] : ( double_divide(double_divide(identity,X_15),double_divide(identity,inverse(multiply(inverse(X_7),X_15)))) = X_7 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_128]) ).

tff(c_744,plain,
    double_divide(double_divide(identity,inverse(identity)),double_divide(identity,inverse(identity))) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_735,c_132]) ).

tff(c_754,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_8,c_8,c_744]) ).

tff(c_756,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_194,c_754]) ).

tff(c_758,plain,
    inverse(identity) = identity,
    inference(splitRight,[status(thm)],[c_193]) ).

tff(c_759,plain,
    ! [X_7] : ( multiply(inverse(X_7),X_7) = identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_57]) ).

tff(c_1127,plain,
    ! [X_45,X_46] : ( double_divide(double_divide(identity,X_45),double_divide(identity,inverse(multiply(inverse(X_46),X_45)))) = X_46 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_128]) ).

tff(c_1154,plain,
    ! [X_7] : ( double_divide(double_divide(identity,X_7),double_divide(identity,inverse(identity))) = X_7 ),
    inference(superposition,[status(thm),theory(equality)],[c_759,c_1127]) ).

tff(c_1178,plain,
    ! [X_7] : ( multiply(X_7,identity) = X_7 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_8,c_1154]) ).

tff(c_1182,plain,
    ! [X_47] : ( multiply(X_47,identity) = X_47 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_8,c_1154]) ).

tff(c_811,plain,
    ! [X_35] : ( multiply(inverse(X_35),X_35) = identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_57]) ).

tff(c_827,plain,
    ! [X_11,Y_10] : ( multiply(multiply(X_11,Y_10),double_divide(Y_10,X_11)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_37,c_811]) ).

tff(c_1226,plain,
    ! [X_48] : ( multiply(X_48,double_divide(identity,X_48)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_1182,c_827]) ).

tff(c_1232,plain,
    ! [X_7] : ( double_divide(double_divide(identity,double_divide(identity,inverse(X_7))),double_divide(identity,inverse(identity))) = X_7 ),
    inference(superposition,[status(thm),theory(equality)],[c_1226,c_132]) ).

tff(c_1272,plain,
    ! [X_7] : ( double_divide(identity,inverse(X_7)) = X_7 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1178,c_4,c_8,c_1232]) ).

tff(c_65,plain,
    ! [Y_13,X_14] : ( inverse(double_divide(Y_13,X_14)) = multiply(X_14,Y_13) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).

tff(c_83,plain,
    ! [X_6] : ( inverse(inverse(X_6)) = multiply(identity,X_6) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).

tff(c_1282,plain,
    ! [X_49] : ( double_divide(identity,inverse(X_49)) = X_49 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1178,c_4,c_8,c_1232]) ).

tff(c_1322,plain,
    ! [X_6] : ( double_divide(identity,multiply(identity,X_6)) = inverse(X_6) ),
    inference(superposition,[status(thm),theory(equality)],[c_83,c_1282]) ).

tff(c_46,plain,
    ! [X_6] : ( double_divide(inverse(X_6),identity) = multiply(identity,X_6) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).

tff(c_125,plain,
    ! [Y_16,Z_17] : ( double_divide(identity,double_divide(identity,double_divide(multiply(Y_16,inverse(identity)),double_divide(Z_17,Y_16)))) = Z_17 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_90]) ).

tff(c_1476,plain,
    ! [Y_52,Z_53] : ( double_divide(identity,double_divide(identity,double_divide(Y_52,double_divide(Z_53,Y_52)))) = Z_53 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1178,c_758,c_125]) ).

tff(c_1536,plain,
    ! [X_6] : ( double_divide(identity,double_divide(identity,double_divide(identity,multiply(identity,X_6)))) = inverse(X_6) ),
    inference(superposition,[status(thm),theory(equality)],[c_46,c_1476]) ).

tff(c_1559,plain,
    ! [X_6] : ( double_divide(identity,X_6) = inverse(X_6) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1272,c_1322,c_1536]) ).

tff(c_118,plain,
    ! [Y_16,Z_17] : ( double_divide(inverse(identity),double_divide(identity,double_divide(multiply(Y_16,identity),double_divide(Z_17,Y_16)))) = Z_17 ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_90]) ).

tff(c_2024,plain,
    ! [Z_64,Y_65] : ( inverse(multiply(double_divide(Z_64,Y_65),Y_65)) = Z_64 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1559,c_37,c_1559,c_1178,c_758,c_118]) ).

tff(c_2088,plain,
    ! [X_4,Y_5] : ( inverse(multiply(multiply(X_4,Y_5),identity)) = double_divide(Y_5,X_4) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_2024]) ).

tff(c_2214,plain,
    ! [X_68,Y_69] : ( inverse(multiply(X_68,Y_69)) = double_divide(Y_69,X_68) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1178,c_2088]) ).

tff(c_2023,plain,
    ! [Z_17,Y_16] : ( inverse(multiply(double_divide(Z_17,Y_16),Y_16)) = Z_17 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1559,c_37,c_1559,c_1178,c_758,c_118]) ).

tff(c_2282,plain,
    ! [Y_70,Z_71] : ( double_divide(Y_70,double_divide(Z_71,Y_70)) = Z_71 ),
    inference(superposition,[status(thm),theory(equality)],[c_2214,c_2023]) ).

tff(c_2221,plain,
    ! [Y_69,Z_17] : ( double_divide(Y_69,double_divide(Z_17,Y_69)) = Z_17 ),
    inference(superposition,[status(thm),theory(equality)],[c_2214,c_2023]) ).

tff(c_2285,plain,
    ! [Z_71,Y_70] : ( double_divide(double_divide(Z_71,Y_70),Z_71) = Y_70 ),
    inference(superposition,[status(thm),theory(equality)],[c_2282,c_2221]) ).

tff(c_1568,plain,
    ! [X_54] : ( double_divide(identity,X_54) = inverse(X_54) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1272,c_1322,c_1536]) ).

tff(c_1577,plain,
    ! [X_7] : ( inverse(inverse(X_7)) = X_7 ),
    inference(superposition,[status(thm),theory(equality)],[c_1568,c_1272]) ).

tff(c_1637,plain,
    ! [X_6] : ( multiply(identity,X_6) = X_6 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1577,c_83]) ).

tff(c_1595,plain,
    ! [X_54] : ( double_divide(inverse(X_54),identity) = multiply(X_54,identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_1568,c_4]) ).

tff(c_1630,plain,
    ! [X_54] : ( double_divide(inverse(X_54),identity) = X_54 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1178,c_1595]) ).

tff(c_102,plain,
    ! [Y_16,X_15,Z_17] : ( multiply(double_divide(identity,double_divide(multiply(Y_16,X_15),double_divide(Z_17,Y_16))),double_divide(identity,X_15)) = double_divide(Z_17,identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_90,c_4]) ).

tff(c_130,plain,
    ! [Y_16,X_15,Z_17] : ( multiply(double_divide(identity,double_divide(multiply(Y_16,X_15),double_divide(Z_17,Y_16))),double_divide(identity,X_15)) = inverse(Z_17) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_102]) ).

tff(c_2663,plain,
    ! [Z_78,Y_79,X_80] : ( multiply(multiply(double_divide(Z_78,Y_79),multiply(Y_79,X_80)),inverse(X_80)) = inverse(Z_78) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1559,c_37,c_1559,c_130]) ).

tff(c_2711,plain,
    ! [X_54,X_80] : ( multiply(multiply(X_54,multiply(identity,X_80)),inverse(X_80)) = inverse(inverse(X_54)) ),
    inference(superposition,[status(thm),theory(equality)],[c_1630,c_2663]) ).

tff(c_2772,plain,
    ! [X_54,X_80] : ( multiply(multiply(X_54,X_80),inverse(X_80)) = X_54 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1637,c_1577,c_2711]) ).

tff(c_2107,plain,
    ! [X_4,Y_5] : ( inverse(multiply(X_4,Y_5)) = double_divide(Y_5,X_4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1178,c_2088]) ).

tff(c_11,plain,
    ! [X_1,Y_2,Z_3] : ( double_divide(double_divide(identity,X_1),double_divide(identity,double_divide(multiply(Y_2,X_1),double_divide(Z_3,Y_2)))) = Z_3 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).

tff(c_31,plain,
    ! [Y_10,X_11] : ( multiply(identity,double_divide(Y_10,X_11)) = double_divide(multiply(X_11,Y_10),identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_4]) ).

tff(c_1058,plain,
    ! [Y_43,X_44] : ( multiply(identity,double_divide(Y_43,X_44)) = inverse(multiply(X_44,Y_43)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_31]) ).

tff(c_1094,plain,
    ! [Y_2,X_1,Z_3] : ( inverse(multiply(double_divide(identity,double_divide(multiply(Y_2,X_1),double_divide(Z_3,Y_2))),double_divide(identity,X_1))) = multiply(identity,Z_3) ),
    inference(superposition,[status(thm),theory(equality)],[c_11,c_1058]) ).

tff(c_5965,plain,
    ! [X_130,Z_131,Y_132] : ( double_divide(inverse(X_130),multiply(double_divide(Z_131,Y_132),multiply(Y_132,X_130))) = Z_131 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2107,c_1637,c_1559,c_37,c_1559,c_1094]) ).

tff(c_6076,plain,
    ! [X_80,Z_131,X_54] : ( double_divide(inverse(inverse(X_80)),multiply(double_divide(Z_131,multiply(X_54,X_80)),X_54)) = Z_131 ),
    inference(superposition,[status(thm),theory(equality)],[c_2772,c_5965]) ).

tff(c_9592,plain,
    ! [X_167,Z_168,X_169] : ( double_divide(X_167,multiply(double_divide(Z_168,multiply(X_169,X_167)),X_169)) = Z_168 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1577,c_6076]) ).

tff(c_10460,plain,
    ! [X_176,X_177,Y_178] : ( double_divide(multiply(X_176,X_177),Y_178) = double_divide(X_177,multiply(Y_178,X_176)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2285,c_9592]) ).

tff(c_10707,plain,
    ! [X_179,Y_180,X_181] : ( double_divide(double_divide(X_179,multiply(Y_180,X_181)),identity) = multiply(Y_180,multiply(X_181,X_179)) ),
    inference(superposition,[status(thm),theory(equality)],[c_10460,c_4]) ).

tff(c_10906,plain,
    ! [Y_180,X_181,Y_5] : ( multiply(multiply(Y_180,X_181),Y_5) = multiply(Y_180,multiply(X_181,Y_5)) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_10707]) ).

tff(c_757,plain,
    ( ( multiply(identity,a2) != a2 )
    | ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
    inference(splitRight,[status(thm)],[c_193]) ).

tff(c_2213,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(demodulation,[status(thm),theory(equality)],[c_1637,c_757]) ).

tff(c_11594,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10906,c_2213]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP078-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35  % Computer : n017.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 21:32:22 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 7.91/3.08  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.91/3.09  
% 7.91/3.09  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.12/3.13  
% 8.12/3.13  Inference rules
% 8.12/3.13  ----------------------
% 8.12/3.13  #Ref     : 0
% 8.12/3.13  #Sup     : 2907
% 8.12/3.13  #Fact    : 0
% 8.12/3.13  #Define  : 0
% 8.12/3.13  #Split   : 1
% 8.12/3.13  #Chain   : 0
% 8.12/3.13  #Close   : 0
% 8.12/3.13  
% 8.12/3.13  Ordering : KBO
% 8.12/3.13  
% 8.12/3.13  Simplification rules
% 8.12/3.13  ----------------------
% 8.12/3.13  #Subsume      : 0
% 8.12/3.13  #Demod        : 4339
% 8.12/3.13  #Tautology    : 1827
% 8.12/3.13  #SimpNegUnit  : 1
% 8.12/3.13  #BackRed      : 28
% 8.12/3.13  
% 8.12/3.13  #Partial instantiations: 0
% 8.12/3.13  #Strategies tried      : 1
% 8.12/3.13  
% 8.12/3.13  Timing (in seconds)
% 8.12/3.13  ----------------------
% 8.12/3.13  Preprocessing        : 0.44
% 8.12/3.13  Parsing              : 0.23
% 8.12/3.13  CNF conversion       : 0.02
% 8.12/3.13  Main loop            : 1.54
% 8.12/3.13  Inferencing          : 0.50
% 8.12/3.13  Reduction            : 0.64
% 8.12/3.13  Demodulation         : 0.54
% 8.12/3.13  BG Simplification    : 0.06
% 8.12/3.13  Subsumption          : 0.24
% 8.12/3.13  Abstraction          : 0.09
% 8.12/3.13  MUC search           : 0.00
% 8.12/3.13  Cooper               : 0.00
% 8.12/3.13  Total                : 2.04
% 8.12/3.13  Index Insertion      : 0.00
% 8.12/3.13  Index Deletion       : 0.00
% 8.12/3.13  Index Matching       : 0.00
% 8.12/3.13  BG Taut test         : 0.00
%------------------------------------------------------------------------------