TSTP Solution File: GRP076-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP076-1 : 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/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 : n008.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 7.00s 2.75s
% Output   : CNFRefutation 7.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   92 (  79 unt;   9 typ;   0 def)
%            Number of atoms       :   90 (  88 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   :  116 (; 116   !;   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_32,axiom,
    ! [X] : ( inverse(X) = double_divide(X,identity) ),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ! [X] : ( identity = double_divide(X,inverse(X)) ),
    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(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)) = 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_6,plain,
    ! [X_6] : ( double_divide(X_6,identity) = inverse(X_6) ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

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

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_218,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_219,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_218]) ).

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_2,plain,
    ! [X_1,Y_2,Z_3] : ( double_divide(double_divide(X_1,double_divide(double_divide(double_divide(X_1,Y_2),Z_3),double_divide(Y_2,identity))),double_divide(identity,identity)) = Z_3 ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_90,plain,
    ! [X_15,Y_16,Z_17] : ( double_divide(double_divide(X_15,double_divide(double_divide(double_divide(X_15,Y_16),Z_17),inverse(Y_16))),inverse(identity)) = Z_17 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).

tff(c_145,plain,
    ! [X_15,Y_16] : ( double_divide(double_divide(X_15,double_divide(identity,inverse(Y_16))),inverse(identity)) = inverse(double_divide(X_15,Y_16)) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_90]) ).

tff(c_524,plain,
    ! [X_31,Y_32] : ( double_divide(double_divide(X_31,double_divide(identity,inverse(Y_32))),inverse(identity)) = multiply(Y_32,X_31) ),
    inference(demodulation,[status(thm),theory(equality)],[c_37,c_145]) ).

tff(c_565,plain,
    ! [X_31] : ( double_divide(double_divide(X_31,identity),inverse(identity)) = multiply(identity,X_31) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_524]) ).

tff(c_572,plain,
    ! [X_31] : ( double_divide(inverse(X_31),inverse(identity)) = multiply(identity,X_31) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_565]) ).

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_74,plain,
    ! [Y_13,X_14] : ( double_divide(double_divide(Y_13,X_14),multiply(X_14,Y_13)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_65,c_8]) ).

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_141,plain,
    ! [X_7,Z_17] : ( double_divide(double_divide(X_7,double_divide(double_divide(identity,Z_17),inverse(inverse(X_7)))),inverse(identity)) = Z_17 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_90]) ).

tff(c_641,plain,
    ! [X_35,Z_36] : ( double_divide(double_divide(X_35,double_divide(double_divide(identity,Z_36),multiply(identity,X_35))),inverse(identity)) = Z_36 ),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_141]) ).

tff(c_679,plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_74,c_641]) ).

tff(c_697,plain,
    multiply(identity,identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_572,c_6,c_679]) ).

tff(c_183,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_195,plain,
    ! [X_19] : ( multiply(identity,inverse(X_19)) = double_divide(multiply(identity,X_19),identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_183,c_4]) ).

tff(c_212,plain,
    ! [X_19] : ( multiply(identity,inverse(X_19)) = inverse(multiply(identity,X_19)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_195]) ).

tff(c_155,plain,
    ! [X_18] : ( inverse(inverse(X_18)) = multiply(identity,X_18) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).

tff(c_170,plain,
    ! [X_18] : ( double_divide(inverse(X_18),multiply(identity,X_18)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_155,c_8]) ).

tff(c_716,plain,
    double_divide(inverse(identity),identity) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_697,c_170]) ).

tff(c_748,plain,
    inverse(inverse(identity)) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_716,c_6]) ).

tff(c_573,plain,
    ! [X_33] : ( double_divide(inverse(X_33),inverse(identity)) = multiply(identity,X_33) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_565]) ).

tff(c_591,plain,
    ! [X_33] : ( multiply(inverse(identity),inverse(X_33)) = inverse(multiply(identity,X_33)) ),
    inference(superposition,[status(thm),theory(equality)],[c_573,c_37]) ).

tff(c_767,plain,
    inverse(multiply(identity,inverse(identity))) = multiply(inverse(identity),identity),
    inference(superposition,[status(thm),theory(equality)],[c_748,c_591]) ).

tff(c_809,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_697,c_697,c_83,c_212,c_57,c_767]) ).

tff(c_811,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_219,c_809]) ).

tff(c_813,plain,
    inverse(identity) = identity,
    inference(splitRight,[status(thm)],[c_218]) ).

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_819,plain,
    multiply(identity,identity) = double_divide(identity,identity),
    inference(superposition,[status(thm),theory(equality)],[c_813,c_46]) ).

tff(c_828,plain,
    multiply(identity,identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_813,c_6,c_819]) ).

tff(c_1331,plain,
    ! [Z_54,X_55] : ( multiply(double_divide(double_divide(identity,Z_54),multiply(identity,X_55)),X_55) = Z_54 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_813,c_83,c_141]) ).

tff(c_1362,plain,
    ! [Z_54] : ( multiply(double_divide(double_divide(identity,Z_54),identity),identity) = Z_54 ),
    inference(superposition,[status(thm),theory(equality)],[c_828,c_1331]) ).

tff(c_1376,plain,
    ! [Z_54] : ( multiply(multiply(Z_54,identity),identity) = Z_54 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_1362]) ).

tff(c_154,plain,
    ! [X_15,Y_16] : ( double_divide(double_divide(X_15,double_divide(identity,inverse(Y_16))),inverse(identity)) = multiply(Y_16,X_15) ),
    inference(demodulation,[status(thm),theory(equality)],[c_37,c_145]) ).

tff(c_1136,plain,
    ! [Y_16,X_15] : ( multiply(double_divide(identity,inverse(Y_16)),X_15) = multiply(Y_16,X_15) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_813,c_154]) ).

tff(c_1379,plain,
    ! [Z_56] : ( multiply(multiply(Z_56,identity),identity) = Z_56 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_1362]) ).

tff(c_1420,plain,
    ! [Y_16] : ( multiply(multiply(Y_16,identity),identity) = double_divide(identity,inverse(Y_16)) ),
    inference(superposition,[status(thm),theory(equality)],[c_1136,c_1379]) ).

tff(c_1436,plain,
    ! [Y_16] : ( double_divide(identity,inverse(Y_16)) = Y_16 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1376,c_1420]) ).

tff(c_1440,plain,
    ! [Y_57] : ( double_divide(identity,inverse(Y_57)) = Y_57 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1376,c_1420]) ).

tff(c_1474,plain,
    ! [X_6] : ( double_divide(identity,multiply(identity,X_6)) = inverse(X_6) ),
    inference(superposition,[status(thm),theory(equality)],[c_83,c_1440]) ).

tff(c_134,plain,
    ! [X_6,Z_17] : ( double_divide(double_divide(X_6,double_divide(double_divide(inverse(X_6),Z_17),inverse(identity))),inverse(identity)) = Z_17 ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_90]) ).

tff(c_1670,plain,
    ! [Z_61,X_62] : ( multiply(multiply(Z_61,inverse(X_62)),X_62) = Z_61 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_813,c_4,c_813,c_134]) ).

tff(c_1669,plain,
    ! [Z_17,X_6] : ( multiply(multiply(Z_17,inverse(X_6)),X_6) = Z_17 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_813,c_4,c_813,c_134]) ).

tff(c_1674,plain,
    ! [Z_61,X_6] : ( multiply(Z_61,inverse(inverse(X_6))) = multiply(Z_61,X_6) ),
    inference(superposition,[status(thm),theory(equality)],[c_1670,c_1669]) ).

tff(c_2266,plain,
    ! [Z_72,X_73] : ( multiply(Z_72,multiply(identity,X_73)) = multiply(Z_72,X_73) ),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_1674]) ).

tff(c_2293,plain,
    ! [X_73] : ( double_divide(identity,multiply(identity,X_73)) = inverse(multiply(identity,X_73)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2266,c_1474]) ).

tff(c_2403,plain,
    ! [X_74] : ( inverse(multiply(identity,X_74)) = inverse(X_74) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1474,c_2293]) ).

tff(c_2435,plain,
    ! [X_74] : ( double_divide(identity,inverse(X_74)) = multiply(identity,X_74) ),
    inference(superposition,[status(thm),theory(equality)],[c_2403,c_1436]) ).

tff(c_2474,plain,
    ! [X_74] : ( multiply(identity,X_74) = X_74 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1436,c_2435]) ).

tff(c_2485,plain,
    ! [X_6] : ( double_divide(identity,X_6) = inverse(X_6) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2474,c_1474]) ).

tff(c_2492,plain,
    ! [X_6] : ( inverse(inverse(X_6)) = X_6 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2474,c_83]) ).

tff(c_11,plain,
    ! [X_1,Y_2,Z_3] : ( double_divide(double_divide(X_1,double_divide(double_divide(double_divide(X_1,Y_2),Z_3),inverse(Y_2))),inverse(identity)) = Z_3 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).

tff(c_100,plain,
    ! [X_1,Y_16,Z_17] : ( double_divide(double_divide(double_divide(double_divide(X_1,identity),Y_16),Z_17),inverse(Y_16)) = double_divide(double_divide(X_1,Z_17),inverse(identity)) ),
    inference(superposition,[status(thm),theory(equality)],[c_90,c_11]) ).

tff(c_147,plain,
    ! [X_1,Y_16,Z_17] : ( double_divide(double_divide(double_divide(inverse(X_1),Y_16),Z_17),inverse(Y_16)) = double_divide(double_divide(X_1,Z_17),inverse(identity)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_100]) ).

tff(c_2911,plain,
    ! [X_82,Y_83,Z_84] : ( double_divide(double_divide(double_divide(inverse(X_82),Y_83),Z_84),inverse(Y_83)) = multiply(Z_84,X_82) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_813,c_147]) ).

tff(c_2995,plain,
    ! [Z_84,X_82] : ( double_divide(double_divide(identity,Z_84),inverse(inverse(inverse(X_82)))) = multiply(Z_84,X_82) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_2911]) ).

tff(c_3014,plain,
    ! [Z_84,X_82] : ( double_divide(inverse(Z_84),inverse(X_82)) = multiply(Z_84,X_82) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2485,c_2492,c_2995]) ).

tff(c_109,plain,
    ! [X_15,Y_16,Z_17] : ( multiply(inverse(identity),double_divide(X_15,double_divide(double_divide(double_divide(X_15,Y_16),Z_17),inverse(Y_16)))) = double_divide(Z_17,identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_90,c_4]) ).

tff(c_149,plain,
    ! [X_15,Y_16,Z_17] : ( multiply(inverse(identity),double_divide(X_15,double_divide(double_divide(double_divide(X_15,Y_16),Z_17),inverse(Y_16)))) = inverse(Z_17) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_109]) ).

tff(c_3099,plain,
    ! [X_87,Y_88,Z_89] : ( double_divide(X_87,double_divide(double_divide(double_divide(X_87,Y_88),Z_89),inverse(Y_88))) = inverse(Z_89) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2474,c_813,c_149]) ).

tff(c_3202,plain,
    ! [X_6,Z_89] : ( double_divide(X_6,double_divide(double_divide(inverse(X_6),Z_89),inverse(identity))) = inverse(Z_89) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_3099]) ).

tff(c_5740,plain,
    ! [X_130,Z_131] : ( double_divide(X_130,multiply(Z_131,inverse(X_130))) = inverse(Z_131) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_813,c_3202]) ).

tff(c_1894,plain,
    ! [X_65,Y_66,Z_67] : ( double_divide(double_divide(X_65,double_divide(double_divide(double_divide(X_65,Y_66),Z_67),inverse(Y_66))),identity) = Z_67 ),
    inference(demodulation,[status(thm),theory(equality)],[c_813,c_11]) ).

tff(c_1983,plain,
    ! [Y_5,Y_66,Z_67] : ( multiply(double_divide(double_divide(double_divide(Y_5,Y_66),Z_67),inverse(Y_66)),Y_5) = Z_67 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_1894]) ).

tff(c_5802,plain,
    ! [Z_131,Y_66,Y_5] : ( multiply(double_divide(inverse(Z_131),inverse(Y_66)),Y_5) = multiply(Z_131,inverse(double_divide(Y_5,Y_66))) ),
    inference(superposition,[status(thm),theory(equality)],[c_5740,c_1983]) ).

tff(c_5888,plain,
    ! [Z_131,Y_66,Y_5] : ( multiply(multiply(Z_131,Y_66),Y_5) = multiply(Z_131,multiply(Y_66,Y_5)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3014,c_37,c_5802]) ).

tff(c_812,plain,
    ( ( multiply(identity,a2) != a2 )
    | ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_2545,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(demodulation,[status(thm),theory(equality)],[c_2474,c_812]) ).

tff(c_10871,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5888,c_2545]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP076-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 : n008.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 22:17:03 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 7.00/2.75  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.00/2.76  
% 7.00/2.76  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.00/2.79  
% 7.00/2.79  Inference rules
% 7.00/2.79  ----------------------
% 7.00/2.79  #Ref     : 0
% 7.00/2.79  #Sup     : 2689
% 7.00/2.79  #Fact    : 0
% 7.00/2.79  #Define  : 0
% 7.00/2.79  #Split   : 1
% 7.00/2.79  #Chain   : 0
% 7.00/2.79  #Close   : 0
% 7.00/2.79  
% 7.00/2.79  Ordering : KBO
% 7.00/2.79  
% 7.00/2.79  Simplification rules
% 7.00/2.79  ----------------------
% 7.00/2.79  #Subsume      : 0
% 7.00/2.79  #Demod        : 4262
% 7.00/2.79  #Tautology    : 1812
% 7.00/2.79  #SimpNegUnit  : 1
% 7.00/2.79  #BackRed      : 31
% 7.00/2.79  
% 7.00/2.79  #Partial instantiations: 0
% 7.00/2.79  #Strategies tried      : 1
% 7.00/2.79  
% 7.00/2.79  Timing (in seconds)
% 7.00/2.79  ----------------------
% 7.00/2.80  Preprocessing        : 0.41
% 7.00/2.80  Parsing              : 0.22
% 7.00/2.80  CNF conversion       : 0.02
% 7.00/2.80  Main loop            : 1.32
% 7.00/2.80  Inferencing          : 0.43
% 7.00/2.80  Reduction            : 0.55
% 7.00/2.80  Demodulation         : 0.45
% 7.00/2.80  BG Simplification    : 0.05
% 7.00/2.80  Subsumption          : 0.19
% 7.00/2.80  Abstraction          : 0.07
% 7.00/2.80  MUC search           : 0.00
% 7.33/2.80  Cooper               : 0.00
% 7.33/2.80  Total                : 1.80
% 7.33/2.80  Index Insertion      : 0.00
% 7.33/2.80  Index Deletion       : 0.00
% 7.33/2.80  Index Matching       : 0.00
% 7.33/2.80  BG Taut test         : 0.00
%------------------------------------------------------------------------------