TSTP Solution File: GRP094-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP094-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n005.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 10:39:49 EDT 2023

% Result   : Unsatisfiable 39.92s 29.89s
% Output   : CNFRefutation 40.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   95 (  78 unt;  13 typ;   0 def)
%            Number of atoms       :   91 (  89 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  16   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   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    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :  158 (; 158   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ multiply > divide > #nlpp > inverse > identity > c3 > b4 > b3 > b2 > b1 > a4 > 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(divide,type,
    divide: ( $i * $i ) > $i ).

tff(b2,type,
    b2: $i ).

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

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

tff(b1,type,
    b1: $i ).

tff(b4,type,
    b4: $i ).

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

tff(a2,type,
    a2: $i ).

tff(a4,type,
    a4: $i ).

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

tff(f_33,axiom,
    ! [X] : ( inverse(X) = divide(identity,X) ),
    file(unknown,unknown) ).

tff(f_30,axiom,
    ! [X,Y] : ( multiply(X,Y) = divide(X,divide(identity,Y)) ),
    file(unknown,unknown) ).

tff(f_36,axiom,
    ! [X] : ( identity = divide(X,X) ),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ! [X,Y,Z] : ( divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)) = Z ),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
    | ( multiply(multiply(inverse(b2),b2),a2) != a2 )
    | ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(a4,b4) != multiply(b4,a4) ) ),
    file(unknown,unknown) ).

tff(c_6,plain,
    ! [X_6] : ( divide(identity,X_6) = inverse(X_6) ),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_4,plain,
    ! [X_4,Y_5] : ( divide(X_4,divide(identity,Y_5)) = multiply(X_4,Y_5) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_11,plain,
    ! [X_4,Y_5] : ( divide(X_4,inverse(Y_5)) = multiply(X_4,Y_5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).

tff(c_20,plain,
    ! [X_9] : ( divide(identity,X_9) = inverse(X_9) ),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_8,plain,
    ! [X_7] : ( divide(X_7,X_7) = identity ),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_27,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_20,c_8]) ).

tff(c_2,plain,
    ! [X_1,Y_2,Z_3] : ( divide(divide(identity,divide(X_1,Y_2)),divide(divide(Y_2,Z_3),X_1)) = Z_3 ),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_70,plain,
    ! [X_12,Y_13,Z_14] : ( divide(inverse(divide(X_12,Y_13)),divide(divide(Y_13,Z_14),X_12)) = Z_14 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_2]) ).

tff(c_110,plain,
    ! [X_12,X_7] : ( divide(inverse(divide(X_12,X_7)),divide(identity,X_12)) = X_7 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_70]) ).

tff(c_333,plain,
    ! [X_24,X_25] : ( multiply(inverse(divide(X_24,X_25)),X_24) = X_25 ),
    inference(demodulation,[status(thm),theory(equality)],[c_11,c_6,c_110]) ).

tff(c_359,plain,
    ! [X_7] : ( multiply(inverse(identity),X_7) = X_7 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_333]) ).

tff(c_365,plain,
    ! [X_7] : ( multiply(identity,X_7) = X_7 ),
    inference(demodulation,[status(thm),theory(equality)],[c_27,c_359]) ).

tff(c_42,plain,
    ! [X_10,Y_11] : ( divide(X_10,inverse(Y_11)) = multiply(X_10,Y_11) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).

tff(c_59,plain,
    ! [X_10] : ( multiply(X_10,identity) = divide(X_10,identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_27,c_42]) ).

tff(c_63,plain,
    ! [Y_11] : ( inverse(inverse(Y_11)) = multiply(identity,Y_11) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_42]) ).

tff(c_356,plain,
    ! [X_6] : ( multiply(inverse(inverse(X_6)),identity) = X_6 ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_333]) ).

tff(c_364,plain,
    ! [X_6] : ( divide(multiply(identity,X_6),identity) = X_6 ),
    inference(demodulation,[status(thm),theory(equality)],[c_59,c_63,c_356]) ).

tff(c_485,plain,
    ! [X_6] : ( divide(X_6,identity) = X_6 ),
    inference(demodulation,[status(thm),theory(equality)],[c_365,c_364]) ).

tff(c_12,plain,
    ! [X_1,Y_2,Z_3] : ( divide(inverse(divide(X_1,Y_2)),divide(divide(Y_2,Z_3),X_1)) = Z_3 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_2]) ).

tff(c_76,plain,
    ! [X_1,X_12,Y_13,Z_14] : ( divide(inverse(divide(X_1,inverse(divide(X_12,Y_13)))),divide(Z_14,X_1)) = divide(divide(Y_13,Z_14),X_12) ),
    inference(superposition,[status(thm),theory(equality)],[c_70,c_12]) ).

tff(c_3522,plain,
    ! [X_89,X_90,Y_91,Z_92] : ( divide(inverse(multiply(X_89,divide(X_90,Y_91))),divide(Z_92,X_89)) = divide(divide(Y_91,Z_92),X_90) ),
    inference(demodulation,[status(thm),theory(equality)],[c_11,c_76]) ).

tff(c_3769,plain,
    ! [X_93,X_94,Y_95] : ( divide(inverse(multiply(X_93,divide(X_94,Y_95))),identity) = divide(divide(Y_95,X_93),X_94) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_3522]) ).

tff(c_3893,plain,
    ! [X_93,X_6] : ( divide(inverse(multiply(X_93,X_6)),identity) = divide(divide(identity,X_93),X_6) ),
    inference(superposition,[status(thm),theory(equality)],[c_485,c_3769]) ).

tff(c_3948,plain,
    ! [X_93,X_6] : ( divide(inverse(X_93),X_6) = inverse(multiply(X_93,X_6)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_485,c_6,c_3893]) ).

tff(c_104,plain,
    ! [X_12,X_6] : ( divide(inverse(divide(X_12,identity)),divide(inverse(X_6),X_12)) = X_6 ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_70]) ).

tff(c_1250,plain,
    ! [X_12,X_6] : ( divide(inverse(X_12),divide(inverse(X_6),X_12)) = X_6 ),
    inference(demodulation,[status(thm),theory(equality)],[c_485,c_104]) ).

tff(c_3025,plain,
    ! [X_82,Y_83,Z_84] : ( divide(inverse(multiply(X_82,Y_83)),divide(divide(inverse(Y_83),Z_84),X_82)) = Z_84 ),
    inference(superposition,[status(thm),theory(equality)],[c_11,c_70]) ).

tff(c_3118,plain,
    ! [X_82,X_12,X_6] : ( divide(inverse(multiply(X_82,X_12)),divide(X_6,X_82)) = divide(inverse(X_6),X_12) ),
    inference(superposition,[status(thm),theory(equality)],[c_1250,c_3025]) ).

tff(c_41430,plain,
    ! [X_345,X_346,X_347] : ( divide(inverse(multiply(X_345,X_346)),divide(X_347,X_345)) = inverse(multiply(X_347,X_346)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3948,c_3118]) ).

tff(c_366,plain,
    ! [Y_11] : ( inverse(inverse(Y_11)) = Y_11 ),
    inference(demodulation,[status(thm),theory(equality)],[c_365,c_63]) ).

tff(c_487,plain,
    ! [X_31] : ( divide(X_31,identity) = X_31 ),
    inference(demodulation,[status(thm),theory(equality)],[c_365,c_364]) ).

tff(c_510,plain,
    ! [Y_2,Z_3] : ( divide(inverse(divide(identity,Y_2)),divide(Y_2,Z_3)) = Z_3 ),
    inference(superposition,[status(thm),theory(equality)],[c_487,c_12]) ).

tff(c_535,plain,
    ! [Y_2,Z_3] : ( divide(Y_2,divide(Y_2,Z_3)) = Z_3 ),
    inference(demodulation,[status(thm),theory(equality)],[c_366,c_6,c_510]) ).

tff(c_107,plain,
    ! [X_7,Z_14] : ( divide(inverse(identity),divide(divide(X_7,Z_14),X_7)) = Z_14 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_70]) ).

tff(c_440,plain,
    ! [X_29,Z_30] : ( inverse(divide(divide(X_29,Z_30),X_29)) = Z_30 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_27,c_107]) ).

tff(c_5485,plain,
    ! [Z_114,X_115,Z_116] : ( divide(Z_114,divide(divide(X_115,Z_116),divide(X_115,Z_114))) = Z_116 ),
    inference(superposition,[status(thm),theory(equality)],[c_440,c_12]) ).

tff(c_5695,plain,
    ! [Z_114,Z_3,Y_2] : ( divide(Z_114,divide(Z_3,divide(Y_2,Z_114))) = divide(Y_2,Z_3) ),
    inference(superposition,[status(thm),theory(equality)],[c_535,c_5485]) ).

tff(c_41491,plain,
    ! [X_347,X_345,X_346] : ( divide(X_347,inverse(multiply(X_345,X_346))) = divide(X_345,inverse(multiply(X_347,X_346))) ),
    inference(superposition,[status(thm),theory(equality)],[c_41430,c_5695]) ).

tff(c_41860,plain,
    ! [X_347,X_345,X_346] : ( multiply(X_347,multiply(X_345,X_346)) = multiply(X_345,multiply(X_347,X_346)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_11,c_11,c_41491]) ).

tff(c_3907,plain,
    ! [X_93,X_4,Y_5] : ( divide(inverse(multiply(X_93,multiply(X_4,Y_5))),identity) = divide(divide(inverse(Y_5),X_93),X_4) ),
    inference(superposition,[status(thm),theory(equality)],[c_11,c_3769]) ).

tff(c_3951,plain,
    ! [Y_5,X_93,X_4] : ( divide(divide(inverse(Y_5),X_93),X_4) = inverse(multiply(X_93,multiply(X_4,Y_5))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_485,c_3907]) ).

tff(c_38186,plain,
    ! [Y_324,X_325,X_326] : ( inverse(multiply(multiply(Y_324,X_325),X_326)) = inverse(multiply(X_325,multiply(X_326,Y_324))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3948,c_3948,c_3951]) ).

tff(c_38312,plain,
    ! [X_325,X_326,Y_324] : ( inverse(inverse(multiply(X_325,multiply(X_326,Y_324)))) = multiply(multiply(Y_324,X_325),X_326) ),
    inference(superposition,[status(thm),theory(equality)],[c_38186,c_366]) ).

tff(c_38495,plain,
    ! [Y_324,X_325,X_326] : ( multiply(multiply(Y_324,X_325),X_326) = multiply(X_325,multiply(X_326,Y_324)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_366,c_38312]) ).

tff(c_4487,plain,
    ! [X_102,X_103] : ( divide(inverse(X_102),X_103) = inverse(multiply(X_102,X_103)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_485,c_6,c_3893]) ).

tff(c_449,plain,
    ! [X_29,Z_30] : ( divide(divide(X_29,Z_30),X_29) = inverse(Z_30) ),
    inference(superposition,[status(thm),theory(equality)],[c_440,c_366]) ).

tff(c_4549,plain,
    ! [X_102,X_103] : ( divide(inverse(multiply(X_102,X_103)),inverse(X_102)) = inverse(X_103) ),
    inference(superposition,[status(thm),theory(equality)],[c_4487,c_449]) ).

tff(c_467,plain,
    ! [Z_3,X_1,Y_2] : ( inverse(divide(Z_3,inverse(divide(X_1,Y_2)))) = divide(divide(Y_2,Z_3),X_1) ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_440]) ).

tff(c_483,plain,
    ! [Z_3,X_1,Y_2] : ( inverse(multiply(Z_3,divide(X_1,Y_2))) = divide(divide(Y_2,Z_3),X_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_11,c_467]) ).

tff(c_116,plain,
    ! [X_1,X_12,Y_13,Z_14] : ( divide(inverse(multiply(X_1,divide(X_12,Y_13))),divide(Z_14,X_1)) = divide(divide(Y_13,Z_14),X_12) ),
    inference(demodulation,[status(thm),theory(equality)],[c_11,c_76]) ).

tff(c_8888,plain,
    ! [Y_144,X_145,X_146,Z_147] : ( divide(divide(divide(Y_144,X_145),X_146),divide(Z_147,X_145)) = divide(divide(Y_144,Z_147),X_146) ),
    inference(demodulation,[status(thm),theory(equality)],[c_483,c_116]) ).

tff(c_9213,plain,
    ! [Y_144,X_145,Z_147] : ( divide(divide(Y_144,X_145),divide(Z_147,X_145)) = divide(divide(Y_144,Z_147),identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_485,c_8888]) ).

tff(c_18152,plain,
    ! [Y_213,X_214,Z_215] : ( divide(divide(Y_213,X_214),divide(Z_215,X_214)) = divide(Y_213,Z_215) ),
    inference(demodulation,[status(thm),theory(equality)],[c_485,c_9213]) ).

tff(c_39409,plain,
    ! [Y_333,Y_334,Z_335] : ( divide(divide(Y_333,divide(Y_334,Z_335)),Z_335) = divide(Y_333,Y_334) ),
    inference(superposition,[status(thm),theory(equality)],[c_535,c_18152]) ).

tff(c_39715,plain,
    ! [Y_333,X_103,X_102] : ( divide(divide(Y_333,inverse(X_103)),inverse(X_102)) = divide(Y_333,inverse(multiply(X_102,X_103))) ),
    inference(superposition,[status(thm),theory(equality)],[c_4549,c_39409]) ).

tff(c_39897,plain,
    ! [Y_333,X_102,X_103] : ( multiply(Y_333,multiply(X_102,X_103)) = multiply(X_103,multiply(X_102,Y_333)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_38495,c_11,c_11,c_11,c_39715]) ).

tff(c_388,plain,
    ! [Y_27] : ( inverse(inverse(Y_27)) = Y_27 ),
    inference(demodulation,[status(thm),theory(equality)],[c_365,c_63]) ).

tff(c_843,plain,
    ! [X_42,Y_43] : ( multiply(X_42,inverse(Y_43)) = divide(X_42,Y_43) ),
    inference(superposition,[status(thm),theory(equality)],[c_388,c_11]) ).

tff(c_618,plain,
    ! [Y_35,Z_36] : ( divide(Y_35,divide(Y_35,Z_36)) = Z_36 ),
    inference(demodulation,[status(thm),theory(equality)],[c_366,c_6,c_510]) ).

tff(c_122,plain,
    ! [X_12,X_7] : ( multiply(inverse(divide(X_12,X_7)),X_12) = X_7 ),
    inference(demodulation,[status(thm),theory(equality)],[c_11,c_6,c_110]) ).

tff(c_452,plain,
    ! [Z_30,X_29] : ( multiply(Z_30,divide(X_29,Z_30)) = X_29 ),
    inference(superposition,[status(thm),theory(equality)],[c_440,c_122]) ).

tff(c_627,plain,
    ! [Y_35,Z_36] : ( multiply(divide(Y_35,Z_36),Z_36) = Y_35 ),
    inference(superposition,[status(thm),theory(equality)],[c_618,c_452]) ).

tff(c_853,plain,
    ! [Y_35,Y_43] : ( divide(divide(Y_35,inverse(Y_43)),Y_43) = Y_35 ),
    inference(superposition,[status(thm),theory(equality)],[c_843,c_627]) ).

tff(c_915,plain,
    ! [Y_44,Y_45] : ( divide(multiply(Y_44,Y_45),Y_45) = Y_44 ),
    inference(demodulation,[status(thm),theory(equality)],[c_11,c_853]) ).

tff(c_927,plain,
    ! [Y_45,Y_44] : ( multiply(Y_45,Y_44) = multiply(Y_44,Y_45) ),
    inference(superposition,[status(thm),theory(equality)],[c_915,c_452]) ).

tff(c_194,plain,
    ! [X_18,Z_19] : ( inverse(divide(divide(X_18,Z_19),X_18)) = Z_19 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_27,c_107]) ).

tff(c_228,plain,
    ! [X_7] : ( inverse(divide(identity,X_7)) = X_7 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_194]) ).

tff(c_232,plain,
    ! [X_7] : ( multiply(identity,X_7) = X_7 ),
    inference(demodulation,[status(thm),theory(equality)],[c_63,c_6,c_228]) ).

tff(c_53,plain,
    ! [Y_11] : ( multiply(inverse(Y_11),Y_11) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_42,c_8]) ).

tff(c_10,plain,
    ( ( multiply(b4,a4) != multiply(a4,b4) )
    | ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(multiply(inverse(b2),b2),a2) != a2 )
    | ( multiply(inverse(b1),b1) != multiply(inverse(a1),a1) ) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_139,plain,
    ( ( multiply(b4,a4) != multiply(a4,b4) )
    | ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(identity,a2) != a2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_53,c_53,c_53,c_10]) ).

tff(c_140,plain,
    multiply(identity,a2) != a2,
    inference(splitLeft,[status(thm)],[c_139]) ).

tff(c_273,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_232,c_140]) ).

tff(c_274,plain,
    ( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(b4,a4) != multiply(a4,b4) ) ),
    inference(splitRight,[status(thm)],[c_139]) ).

tff(c_4479,plain,
    multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
    inference(demodulation,[status(thm),theory(equality)],[c_927,c_927,c_274]) ).

tff(c_42545,plain,
    multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(demodulation,[status(thm),theory(equality)],[c_39897,c_4479]) ).

tff(c_139517,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_41860,c_42545]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : GRP094-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 22:19:41 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 39.92/29.89  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.92/29.90  
% 39.92/29.90  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 40.10/29.94  
% 40.10/29.94  Inference rules
% 40.10/29.94  ----------------------
% 40.10/29.94  #Ref     : 0
% 40.10/29.94  #Sup     : 34778
% 40.10/29.94  #Fact    : 0
% 40.10/29.94  #Define  : 0
% 40.10/29.94  #Split   : 1
% 40.10/29.94  #Chain   : 0
% 40.10/29.94  #Close   : 0
% 40.10/29.94  
% 40.10/29.94  Ordering : KBO
% 40.10/29.94  
% 40.10/29.94  Simplification rules
% 40.10/29.94  ----------------------
% 40.10/29.94  #Subsume      : 4060
% 40.10/29.94  #Demod        : 119790
% 40.10/29.94  #Tautology    : 15989
% 40.10/29.94  #SimpNegUnit  : 0
% 40.10/29.94  #BackRed      : 52
% 40.10/29.94  
% 40.10/29.94  #Partial instantiations: 0
% 40.10/29.94  #Strategies tried      : 1
% 40.10/29.94  
% 40.10/29.94  Timing (in seconds)
% 40.10/29.94  ----------------------
% 40.10/29.94  Preprocessing        : 0.42
% 40.10/29.94  Parsing              : 0.23
% 40.10/29.94  CNF conversion       : 0.02
% 40.10/29.94  Main loop            : 28.44
% 40.10/29.94  Inferencing          : 2.67
% 40.10/29.94  Reduction            : 22.20
% 40.10/29.94  Demodulation         : 21.53
% 40.10/29.94  BG Simplification    : 0.39
% 40.10/29.94  Subsumption          : 2.12
% 40.10/29.94  Abstraction          : 0.81
% 40.10/29.94  MUC search           : 0.00
% 40.10/29.94  Cooper               : 0.00
% 40.10/29.94  Total                : 28.92
% 40.10/29.94  Index Insertion      : 0.00
% 40.10/29.94  Index Deletion       : 0.00
% 40.10/29.94  Index Matching       : 0.00
% 40.10/29.94  BG Taut test         : 0.00
%------------------------------------------------------------------------------