TSTP Solution File: GRP101-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP101-1 : 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/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 : n024.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 10:39:50 EDT 2023

% Result   : Unsatisfiable 64.57s 51.12s
% Output   : CNFRefutation 64.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  193 ( 176 unt;  11 typ;   0 def)
%            Number of atoms       :  196 ( 193 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   38 (  24   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    9 (   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    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  338 (; 338   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > c3 > b4 > b3 > 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(inverse,type,
    inverse: $i > $i ).

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

tff(multiply,type,
    multiply: ( $i * $i ) > $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) = double_divide(X,identity) ),
    file(unknown,unknown) ).

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

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

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

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

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

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

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_30]) ).

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(b4,a4) != multiply(a4,b4) )
    | ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(identity,a2) != a2 )
    | ( multiply(inverse(a1),a1) != identity ) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_192,plain,
    ( ( multiply(b4,a4) != multiply(a4,b4) )
    | ( 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_193,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_192]) ).

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

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

tff(c_557,plain,
    ! [Y_33,X_34] : ( double_divide(double_divide(identity,double_divide(double_divide(Y_33,inverse(X_34)),inverse(X_34))),inverse(identity)) = Y_33 ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_90]) ).

tff(c_622,plain,
    ! [X_35] : ( double_divide(double_divide(identity,double_divide(identity,inverse(X_35))),inverse(identity)) = X_35 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_557]) ).

tff(c_662,plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_8,c_622]) ).

tff(c_667,plain,
    double_divide(inverse(identity),inverse(identity)) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_662]) ).

tff(c_117,plain,
    ! [Y_16,X_6] : ( double_divide(double_divide(identity,double_divide(double_divide(Y_16,inverse(X_6)),inverse(X_6))),inverse(identity)) = Y_16 ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_90]) ).

tff(c_671,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = inverse(identity),
    inference(superposition,[status(thm),theory(equality)],[c_667,c_117]) ).

tff(c_695,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_667,c_6,c_8,c_671]) ).

tff(c_697,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_193,c_695]) ).

tff(c_699,plain,
    inverse(identity) = identity,
    inference(splitRight,[status(thm)],[c_192]) ).

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_705,plain,
    multiply(identity,identity) = double_divide(identity,identity),
    inference(superposition,[status(thm),theory(equality)],[c_699,c_46]) ).

tff(c_714,plain,
    multiply(identity,identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_699,c_6,c_705]) ).

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_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_30]) ).

tff(c_120,plain,
    ! [X_7,Y_16] : ( double_divide(double_divide(inverse(X_7),double_divide(double_divide(Y_16,identity),inverse(X_7))),inverse(identity)) = Y_16 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_90]) ).

tff(c_127,plain,
    ! [X_7,Y_16] : ( double_divide(double_divide(inverse(X_7),double_divide(inverse(Y_16),inverse(X_7))),inverse(identity)) = Y_16 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_120]) ).

tff(c_1029,plain,
    ! [Y_46,X_47] : ( multiply(double_divide(inverse(Y_46),inverse(X_47)),inverse(X_47)) = Y_46 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_699,c_127]) ).

tff(c_1072,plain,
    ! [Y_46] : ( multiply(identity,inverse(inverse(Y_46))) = Y_46 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_1029]) ).

tff(c_1107,plain,
    ! [Y_49] : ( multiply(identity,multiply(identity,Y_49)) = Y_49 ),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_1072]) ).

tff(c_1047,plain,
    ! [Y_46] : ( multiply(double_divide(inverse(Y_46),identity),inverse(identity)) = Y_46 ),
    inference(superposition,[status(thm),theory(equality)],[c_699,c_1029]) ).

tff(c_1075,plain,
    ! [Y_46] : ( multiply(multiply(identity,Y_46),identity) = Y_46 ),
    inference(demodulation,[status(thm),theory(equality)],[c_699,c_46,c_1047]) ).

tff(c_1195,plain,
    ! [Y_52] : ( multiply(identity,Y_52) = multiply(Y_52,identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_1107,c_1075]) ).

tff(c_1081,plain,
    ! [Y_46] : ( multiply(identity,multiply(identity,Y_46)) = Y_46 ),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_1072]) ).

tff(c_1207,plain,
    ! [Y_52] : ( multiply(identity,multiply(Y_52,identity)) = Y_52 ),
    inference(superposition,[status(thm),theory(equality)],[c_1195,c_1081]) ).

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

tff(c_1502,plain,
    ! [X_57,Y_58,Z_59] : ( double_divide(double_divide(X_57,double_divide(double_divide(Y_58,double_divide(Z_59,X_57)),inverse(Z_59))),identity) = Y_58 ),
    inference(demodulation,[status(thm),theory(equality)],[c_699,c_11]) ).

tff(c_1526,plain,
    ! [Y_58,Z_59,X_57] : ( multiply(double_divide(double_divide(Y_58,double_divide(Z_59,X_57)),inverse(Z_59)),X_57) = Y_58 ),
    inference(superposition,[status(thm),theory(equality)],[c_1502,c_4]) ).

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_53,plain,
    ! [Y_10,X_11] : ( multiply(identity,double_divide(Y_10,X_11)) = inverse(multiply(X_11,Y_10)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_31]) ).

tff(c_1116,plain,
    ! [Y_49] : ( multiply(identity,Y_49) = multiply(Y_49,identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_1107,c_1075]) ).

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_700,plain,
    ! [X_1,Y_2,Z_3] : ( double_divide(double_divide(X_1,double_divide(double_divide(Y_2,double_divide(Z_3,X_1)),inverse(Z_3))),identity) = Y_2 ),
    inference(demodulation,[status(thm),theory(equality)],[c_699,c_11]) ).

tff(c_1821,plain,
    ! [Y_63,Z_64,X_65] : ( multiply(double_divide(double_divide(Y_63,double_divide(Z_64,X_65)),inverse(Z_64)),X_65) = Y_63 ),
    inference(superposition,[status(thm),theory(equality)],[c_1502,c_4]) ).

tff(c_1866,plain,
    ! [Y_63,Y_2,X_1,Z_3] : ( multiply(double_divide(double_divide(Y_63,Y_2),inverse(double_divide(X_1,double_divide(double_divide(Y_2,double_divide(Z_3,X_1)),inverse(Z_3))))),identity) = Y_63 ),
    inference(superposition,[status(thm),theory(equality)],[c_700,c_1821]) ).

tff(c_1921,plain,
    ! [Y_66,Y_67] : ( inverse(multiply(Y_66,double_divide(Y_67,Y_66))) = Y_67 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1526,c_53,c_1116,c_37,c_1866]) ).

tff(c_5158,plain,
    ! [X_109,Y_110] : ( inverse(multiply(identity,multiply(X_109,Y_110))) = double_divide(Y_110,X_109) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_1921]) ).

tff(c_5266,plain,
    ! [Y_52] : ( double_divide(identity,Y_52) = inverse(Y_52) ),
    inference(superposition,[status(thm),theory(equality)],[c_1207,c_5158]) ).

tff(c_1153,plain,
    ! [Y_50,X_51] : ( multiply(double_divide(double_divide(Y_50,inverse(X_51)),inverse(X_51)),identity) = Y_50 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_699,c_117]) ).

tff(c_1186,plain,
    ! [X_7] : ( multiply(double_divide(identity,inverse(X_7)),identity) = X_7 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_1153]) ).

tff(c_2880,plain,
    ! [Y_77,Y_78] : ( double_divide(multiply(Y_77,double_divide(Y_78,Y_77)),Y_78) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_1921,c_8]) ).

tff(c_1152,plain,
    ! [Y_16,X_6] : ( multiply(double_divide(double_divide(Y_16,inverse(X_6)),inverse(X_6)),identity) = Y_16 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_699,c_117]) ).

tff(c_2906,plain,
    ! [X_6,Y_77] : ( multiply(double_divide(identity,inverse(X_6)),identity) = multiply(Y_77,double_divide(inverse(X_6),Y_77)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2880,c_1152]) ).

tff(c_4950,plain,
    ! [Y_106,X_107] : ( multiply(Y_106,double_divide(inverse(X_107),Y_106)) = X_107 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1186,c_2906]) ).

tff(c_5034,plain,
    ! [Y_106] : ( multiply(Y_106,double_divide(identity,Y_106)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_699,c_4950]) ).

tff(c_5446,plain,
    ! [Y_112] : ( multiply(Y_112,inverse(Y_112)) = identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_5266,c_5034]) ).

tff(c_2014,plain,
    ! [X_4,Y_5] : ( inverse(multiply(identity,multiply(X_4,Y_5))) = double_divide(Y_5,X_4) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_1921]) ).

tff(c_5451,plain,
    ! [Y_112] : ( double_divide(inverse(Y_112),Y_112) = inverse(multiply(identity,identity)) ),
    inference(superposition,[status(thm),theory(equality)],[c_5446,c_2014]) ).

tff(c_5533,plain,
    ! [Y_113] : ( double_divide(inverse(Y_113),Y_113) = identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_699,c_714,c_5451]) ).

tff(c_1911,plain,
    ! [Y_2,Y_63] : ( inverse(multiply(Y_2,double_divide(Y_63,Y_2))) = Y_63 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1526,c_53,c_1116,c_37,c_1866]) ).

tff(c_1028,plain,
    ! [Y_16,X_7] : ( multiply(double_divide(inverse(Y_16),inverse(X_7)),inverse(X_7)) = Y_16 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_699,c_127]) ).

tff(c_1962,plain,
    ! [Y_16,Y_66,Y_67] : ( multiply(double_divide(inverse(Y_16),inverse(multiply(Y_66,double_divide(Y_67,Y_66)))),Y_67) = Y_16 ),
    inference(superposition,[status(thm),theory(equality)],[c_1921,c_1028]) ).

tff(c_2029,plain,
    ! [Y_16,Y_67] : ( multiply(double_divide(inverse(Y_16),Y_67),Y_67) = Y_16 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1911,c_1962]) ).

tff(c_5548,plain,
    ! [Y_113] : ( multiply(identity,Y_113) = Y_113 ),
    inference(superposition,[status(thm),theory(equality)],[c_5533,c_2029]) ).

tff(c_5896,plain,
    ! [X_6] : ( inverse(inverse(X_6)) = X_6 ),
    inference(demodulation,[status(thm),theory(equality)],[c_5548,c_83]) ).

tff(c_156,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_180,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_37,c_156]) ).

tff(c_190,plain,
    ! [Y_10,X_11] : ( multiply(identity,double_divide(Y_10,X_11)) = inverse(multiply(X_11,Y_10)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_180]) ).

tff(c_6258,plain,
    ! [X_123,Y_124] : ( inverse(multiply(X_123,Y_124)) = double_divide(Y_124,X_123) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5548,c_190]) ).

tff(c_6355,plain,
    ! [X_125,Y_126] : ( double_divide(multiply(X_125,Y_126),double_divide(Y_126,X_125)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_6258,c_8]) ).

tff(c_6375,plain,
    ! [Y_126,X_125] : ( multiply(double_divide(identity,inverse(Y_126)),X_125) = multiply(X_125,Y_126) ),
    inference(superposition,[status(thm),theory(equality)],[c_6355,c_1526]) ).

tff(c_6469,plain,
    ! [Y_126,X_125] : ( multiply(Y_126,X_125) = multiply(X_125,Y_126) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5896,c_5266,c_6375]) ).

tff(c_2975,plain,
    ! [Y_77,X_6] : ( multiply(Y_77,double_divide(inverse(X_6),Y_77)) = X_6 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1186,c_2906]) ).

tff(c_5538,plain,
    ! [Y_113] : ( multiply(Y_113,identity) = Y_113 ),
    inference(superposition,[status(thm),theory(equality)],[c_5533,c_2975]) ).

tff(c_105,plain,
    ! [Y_16,Y_2,X_1,Z_3] : ( double_divide(double_divide(inverse(identity),double_divide(double_divide(Y_16,Y_2),inverse(double_divide(X_1,double_divide(double_divide(Y_2,double_divide(Z_3,X_1)),inverse(Z_3)))))),inverse(identity)) = Y_16 ),
    inference(superposition,[status(thm),theory(equality)],[c_11,c_90]) ).

tff(c_124,plain,
    ! [Y_16,Y_2,Z_3,X_1] : ( double_divide(double_divide(inverse(identity),double_divide(double_divide(Y_16,Y_2),multiply(double_divide(double_divide(Y_2,double_divide(Z_3,X_1)),inverse(Z_3)),X_1))),inverse(identity)) = Y_16 ),
    inference(demodulation,[status(thm),theory(equality)],[c_37,c_105]) ).

tff(c_5762,plain,
    ! [Y_16,Y_2] : ( double_divide(double_divide(Y_16,Y_2),Y_2) = Y_16 ),
    inference(demodulation,[status(thm),theory(equality)],[c_5538,c_4,c_699,c_699,c_1526,c_124]) ).

tff(c_5960,plain,
    ! [X_118] : ( inverse(inverse(X_118)) = X_118 ),
    inference(demodulation,[status(thm),theory(equality)],[c_5548,c_83]) ).

tff(c_7625,plain,
    ! [X_141,Y_142] : ( multiply(double_divide(X_141,Y_142),Y_142) = inverse(X_141) ),
    inference(superposition,[status(thm),theory(equality)],[c_5960,c_2029]) ).

tff(c_1062,plain,
    ! [X_11,Y_10,X_47] : ( multiply(double_divide(multiply(X_11,Y_10),inverse(X_47)),inverse(X_47)) = double_divide(Y_10,X_11) ),
    inference(superposition,[status(thm),theory(equality)],[c_37,c_1029]) ).

tff(c_7631,plain,
    ! [X_141,X_47,Y_142] : ( multiply(double_divide(inverse(X_141),inverse(X_47)),inverse(X_47)) = double_divide(Y_142,double_divide(X_141,Y_142)) ),
    inference(superposition,[status(thm),theory(equality)],[c_7625,c_1062]) ).

tff(c_7780,plain,
    ! [Y_143,X_144] : ( double_divide(Y_143,double_divide(X_144,Y_143)) = X_144 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2029,c_7631]) ).

tff(c_7943,plain,
    ! [Y_146,Y_145] : ( double_divide(Y_146,Y_145) = double_divide(Y_145,Y_146) ),
    inference(superposition,[status(thm),theory(equality)],[c_5762,c_7780]) ).

tff(c_8094,plain,
    ! [Y_145,Y_146] : ( double_divide(double_divide(Y_145,Y_146),identity) = multiply(Y_145,Y_146) ),
    inference(superposition,[status(thm),theory(equality)],[c_7943,c_4]) ).

tff(c_7808,plain,
    ! [X_144,Y_143] : ( double_divide(X_144,double_divide(X_144,Y_143)) = Y_143 ),
    inference(superposition,[status(thm),theory(equality)],[c_7780,c_5762]) ).

tff(c_1547,plain,
    ! [X_57,Y_58] : ( double_divide(double_divide(X_57,double_divide(double_divide(Y_58,double_divide(identity,X_57)),identity)),identity) = Y_58 ),
    inference(superposition,[status(thm),theory(equality)],[c_699,c_1502]) ).

tff(c_1584,plain,
    ! [X_57,Y_58] : ( multiply(multiply(double_divide(identity,X_57),Y_58),X_57) = Y_58 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_1547]) ).

tff(c_6107,plain,
    ! [X_120,Y_121] : ( multiply(multiply(inverse(X_120),Y_121),X_120) = Y_121 ),
    inference(demodulation,[status(thm),theory(equality)],[c_5266,c_1584]) ).

tff(c_12798,plain,
    ! [X_195,X_196] : ( double_divide(inverse(X_195),inverse(X_196)) = multiply(X_195,X_196) ),
    inference(superposition,[status(thm),theory(equality)],[c_2975,c_6107]) ).

tff(c_12920,plain,
    ! [X_6,X_196] : ( multiply(inverse(X_6),X_196) = double_divide(X_6,inverse(X_196)) ),
    inference(superposition,[status(thm),theory(equality)],[c_5896,c_12798]) ).

tff(c_6257,plain,
    ! [X_11,Y_10] : ( inverse(multiply(X_11,Y_10)) = double_divide(Y_10,X_11) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5548,c_190]) ).

tff(c_2589,plain,
    ! [Y_73,Y_74] : ( multiply(double_divide(inverse(Y_73),Y_74),Y_74) = Y_73 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1911,c_1962]) ).

tff(c_1213,plain,
    ! [Y_52] : ( multiply(multiply(Y_52,identity),identity) = Y_52 ),
    inference(superposition,[status(thm),theory(equality)],[c_1195,c_1075]) ).

tff(c_2612,plain,
    ! [Y_73] : ( double_divide(inverse(Y_73),identity) = multiply(Y_73,identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_2589,c_1213]) ).

tff(c_6163,plain,
    ! [Y_122] : ( double_divide(inverse(Y_122),identity) = Y_122 ),
    inference(demodulation,[status(thm),theory(equality)],[c_5538,c_2612]) ).

tff(c_6219,plain,
    ! [Y_2,Y_63] : ( multiply(Y_2,double_divide(Y_63,Y_2)) = double_divide(Y_63,identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_1911,c_6163]) ).

tff(c_6246,plain,
    ! [Y_2,Y_63] : ( multiply(Y_2,double_divide(Y_63,Y_2)) = inverse(Y_63) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_6219]) ).

tff(c_13873,plain,
    ! [X_205,X_206] : ( double_divide(multiply(X_205,X_206),inverse(X_206)) = inverse(X_205) ),
    inference(superposition,[status(thm),theory(equality)],[c_12798,c_5762]) ).

tff(c_14020,plain,
    ! [Y_63,Y_2] : ( double_divide(inverse(Y_63),inverse(double_divide(Y_63,Y_2))) = inverse(Y_2) ),
    inference(superposition,[status(thm),theory(equality)],[c_6246,c_13873]) ).

tff(c_14103,plain,
    ! [Y_63,Y_2] : ( double_divide(inverse(Y_63),multiply(Y_2,Y_63)) = inverse(Y_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_37,c_14020]) ).

tff(c_5765,plain,
    ! [Y_115,Y_116] : ( double_divide(double_divide(Y_115,Y_116),Y_116) = Y_115 ),
    inference(demodulation,[status(thm),theory(equality)],[c_5538,c_4,c_699,c_699,c_1526,c_124]) ).

tff(c_5780,plain,
    ! [Y_58,Y_115,Y_116] : ( multiply(double_divide(double_divide(Y_58,Y_115),inverse(double_divide(Y_115,Y_116))),Y_116) = Y_58 ),
    inference(superposition,[status(thm),theory(equality)],[c_5765,c_1526]) ).

tff(c_24068,plain,
    ! [Y_276,Y_277,Y_278] : ( multiply(double_divide(double_divide(Y_276,Y_277),multiply(Y_278,Y_277)),Y_278) = Y_276 ),
    inference(demodulation,[status(thm),theory(equality)],[c_37,c_5780]) ).

tff(c_1385,plain,
    ! [X_55] : ( multiply(double_divide(identity,inverse(X_55)),identity) = X_55 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_1153]) ).

tff(c_2392,plain,
    ! [X_71] : ( multiply(identity,double_divide(identity,inverse(X_71))) = X_71 ),
    inference(superposition,[status(thm),theory(equality)],[c_1385,c_1116]) ).

tff(c_2407,plain,
    ! [X_71] : ( double_divide(identity,inverse(X_71)) = multiply(identity,X_71) ),
    inference(superposition,[status(thm),theory(equality)],[c_2392,c_1081]) ).

tff(c_6027,plain,
    ! [X_119] : ( double_divide(identity,inverse(X_119)) = X_119 ),
    inference(demodulation,[status(thm),theory(equality)],[c_5548,c_2407]) ).

tff(c_6048,plain,
    ! [X_119,Y_2] : ( double_divide(double_divide(inverse(X_119),double_divide(double_divide(Y_2,X_119),inverse(identity))),identity) = Y_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_6027,c_700]) ).

tff(c_6093,plain,
    ! [X_119,Y_2] : ( multiply(multiply(X_119,Y_2),inverse(X_119)) = Y_2 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_699,c_6048]) ).

tff(c_24169,plain,
    ! [Y_276,Y_277,Y_278] : ( multiply(Y_276,inverse(double_divide(double_divide(Y_276,Y_277),multiply(Y_278,Y_277)))) = Y_278 ),
    inference(superposition,[status(thm),theory(equality)],[c_24068,c_6093]) ).

tff(c_29697,plain,
    ! [Y_308,Y_309,Y_310] : ( multiply(Y_308,multiply(multiply(Y_309,Y_310),double_divide(Y_308,Y_310))) = Y_309 ),
    inference(demodulation,[status(thm),theory(equality)],[c_37,c_24169]) ).

tff(c_30011,plain,
    ! [Y_63,Y_309,Y_2] : ( multiply(inverse(Y_63),multiply(multiply(Y_309,multiply(Y_2,Y_63)),inverse(Y_2))) = Y_309 ),
    inference(superposition,[status(thm),theory(equality)],[c_14103,c_29697]) ).

tff(c_85192,plain,
    ! [Y_498,Y_499,Y_500] : ( double_divide(Y_498,multiply(Y_499,double_divide(multiply(Y_499,Y_498),Y_500))) = Y_500 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6469,c_37,c_12920,c_6257,c_12920,c_6469,c_30011]) ).

tff(c_86012,plain,
    ! [Y_499,Y_498,Y_143] : ( double_divide(multiply(Y_499,Y_498),Y_143) = double_divide(Y_498,multiply(Y_499,Y_143)) ),
    inference(superposition,[status(thm),theory(equality)],[c_7808,c_85192]) ).

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_1983,plain,
    ! [Y_66,Y_67] : ( double_divide(multiply(Y_66,double_divide(Y_67,Y_66)),Y_67) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_1921,c_8]) ).

tff(c_6815,plain,
    ! [X_131,Y_132,Z_133] : ( inverse(double_divide(X_131,double_divide(double_divide(Y_132,double_divide(Z_133,X_131)),inverse(Z_133)))) = Y_132 ),
    inference(superposition,[status(thm),theory(equality)],[c_1502,c_6]) ).

tff(c_6919,plain,
    ! [Y_66,Z_133,X_131] : ( multiply(Y_66,double_divide(double_divide(Z_133,X_131),Y_66)) = inverse(double_divide(X_131,double_divide(identity,inverse(Z_133)))) ),
    inference(superposition,[status(thm),theory(equality)],[c_1983,c_6815]) ).

tff(c_22659,plain,
    ! [Y_266,Z_267,X_268] : ( multiply(Y_266,double_divide(double_divide(Z_267,X_268),Y_266)) = multiply(Z_267,X_268) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5896,c_37,c_5266,c_6919]) ).

tff(c_23046,plain,
    ! [X_269,Y_270] : ( multiply(multiply(X_269,Y_270),identity) = multiply(Y_270,X_269) ),
    inference(superposition,[status(thm),theory(equality)],[c_74,c_22659]) ).

tff(c_6154,plain,
    ! [X_11,Y_10,Y_121] : ( multiply(multiply(multiply(X_11,Y_10),Y_121),double_divide(Y_10,X_11)) = Y_121 ),
    inference(superposition,[status(thm),theory(equality)],[c_37,c_6107]) ).

tff(c_23058,plain,
    ! [Y_270,X_269,Y_121] : ( multiply(multiply(multiply(Y_270,X_269),Y_121),double_divide(identity,multiply(X_269,Y_270))) = Y_121 ),
    inference(superposition,[status(thm),theory(equality)],[c_23046,c_6154]) ).

tff(c_31947,plain,
    ! [Y_319,X_320,Y_321] : ( multiply(double_divide(Y_319,X_320),multiply(multiply(Y_319,X_320),Y_321)) = Y_321 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6469,c_6257,c_5266,c_23058]) ).

tff(c_6988,plain,
    ! [X_134,Y_135] : ( multiply(multiply(X_134,Y_135),inverse(X_134)) = Y_135 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_699,c_6048]) ).

tff(c_7009,plain,
    ! [X_134,Y_135] : ( double_divide(inverse(X_134),multiply(X_134,Y_135)) = inverse(Y_135) ),
    inference(superposition,[status(thm),theory(equality)],[c_6988,c_6257]) ).

tff(c_32046,plain,
    ! [Y_319,X_320,Y_321] : ( double_divide(inverse(double_divide(Y_319,X_320)),Y_321) = inverse(multiply(multiply(Y_319,X_320),Y_321)) ),
    inference(superposition,[status(thm),theory(equality)],[c_31947,c_7009]) ).

tff(c_65123,plain,
    ! [X_437,Y_438,Y_439] : ( double_divide(multiply(X_437,Y_438),Y_439) = double_divide(Y_439,multiply(Y_438,X_437)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6257,c_37,c_32046]) ).

tff(c_65868,plain,
    ! [X_437,Y_438,Y_439] : ( double_divide(double_divide(multiply(X_437,Y_438),Y_439),identity) = multiply(multiply(Y_438,X_437),Y_439) ),
    inference(superposition,[status(thm),theory(equality)],[c_65123,c_4]) ).

tff(c_96117,plain,
    ! [Y_438,X_437,Y_439] : ( double_divide(double_divide(Y_438,multiply(X_437,Y_439)),identity) = multiply(multiply(Y_438,X_437),Y_439) ),
    inference(demodulation,[status(thm),theory(equality)],[c_86012,c_65868]) ).

tff(c_96127,plain,
    ! [Y_438,X_437,Y_439] : ( multiply(multiply(Y_438,X_437),Y_439) = multiply(Y_438,multiply(X_437,Y_439)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8094,c_96117]) ).

tff(c_7881,plain,
    ! [Y_2,Y_16] : ( double_divide(Y_2,Y_16) = double_divide(Y_16,Y_2) ),
    inference(superposition,[status(thm),theory(equality)],[c_5762,c_7780]) ).

tff(c_32525,plain,
    ! [X_320,Y_319,Y_321] : ( double_divide(multiply(X_320,Y_319),Y_321) = double_divide(Y_321,multiply(Y_319,X_320)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6257,c_37,c_32046]) ).

tff(c_108717,plain,
    ! [X_558,Y_559,X_560] : ( double_divide(multiply(X_558,Y_559),inverse(X_560)) = multiply(double_divide(Y_559,X_558),X_560) ),
    inference(superposition,[status(thm),theory(equality)],[c_37,c_12798]) ).

tff(c_176944,plain,
    ! [Y_716,X_717,X_718] : ( double_divide(multiply(double_divide(Y_716,X_717),X_718),inverse(X_718)) = multiply(X_717,Y_716) ),
    inference(superposition,[status(thm),theory(equality)],[c_108717,c_5762]) ).

tff(c_177616,plain,
    ! [X_320,Y_319,Y_321,X_718] : ( double_divide(multiply(double_divide(multiply(X_320,Y_319),Y_321),X_718),inverse(X_718)) = multiply(multiply(Y_319,X_320),Y_321) ),
    inference(superposition,[status(thm),theory(equality)],[c_32525,c_176944]) ).

tff(c_178143,plain,
    ! [Y_319,X_320,Y_321] : ( multiply(Y_319,multiply(X_320,Y_321)) = multiply(X_320,multiply(Y_321,Y_319)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_96127,c_96127,c_37,c_14103,c_7881,c_86012,c_177616]) ).

tff(c_6991,plain,
    ! [Y_135,X_134] : ( multiply(Y_135,inverse(multiply(X_134,Y_135))) = inverse(X_134) ),
    inference(superposition,[status(thm),theory(equality)],[c_6988,c_6093]) ).

tff(c_7079,plain,
    ! [Y_135,X_134] : ( multiply(Y_135,double_divide(Y_135,X_134)) = inverse(X_134) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6257,c_6991]) ).

tff(c_12939,plain,
    ! [X_195,X_11,Y_10] : ( double_divide(inverse(X_195),multiply(X_11,Y_10)) = multiply(X_195,double_divide(Y_10,X_11)) ),
    inference(superposition,[status(thm),theory(equality)],[c_37,c_12798]) ).

tff(c_6968,plain,
    ! [Y_66,Z_133,X_131] : ( multiply(Y_66,double_divide(double_divide(Z_133,X_131),Y_66)) = multiply(Z_133,X_131) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5896,c_37,c_5266,c_6919]) ).

tff(c_102047,plain,
    ! [X_543,X_544,Y_545] : ( double_divide(inverse(X_543),multiply(X_544,Y_545)) = multiply(X_543,double_divide(Y_545,X_544)) ),
    inference(superposition,[status(thm),theory(equality)],[c_37,c_12798]) ).

tff(c_102595,plain,
    ! [X_543,Z_133,X_131,Y_66] : ( multiply(X_543,double_divide(double_divide(double_divide(Z_133,X_131),Y_66),Y_66)) = double_divide(inverse(X_543),multiply(Z_133,X_131)) ),
    inference(superposition,[status(thm),theory(equality)],[c_6968,c_102047]) ).

tff(c_102919,plain,
    ! [X_546,Z_547,X_548] : ( multiply(X_546,double_divide(Z_547,X_548)) = multiply(X_546,double_divide(X_548,Z_547)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12939,c_5762,c_102595]) ).

tff(c_105839,plain,
    ! [Z_552,Z_553,X_554] : ( multiply(Z_552,double_divide(Z_552,double_divide(Z_553,X_554))) = multiply(Z_553,X_554) ),
    inference(superposition,[status(thm),theory(equality)],[c_102919,c_6968]) ).

tff(c_20429,plain,
    ! [X_250,Y_251,Y_252] : ( multiply(double_divide(multiply(X_250,Y_251),Y_252),Y_252) = double_divide(Y_251,X_250) ),
    inference(superposition,[status(thm),theory(equality)],[c_37,c_2589]) ).

tff(c_20504,plain,
    ! [Y_251,X_250,Y_252] : ( multiply(double_divide(Y_251,X_250),inverse(double_divide(multiply(X_250,Y_251),Y_252))) = Y_252 ),
    inference(superposition,[status(thm),theory(equality)],[c_20429,c_6093]) ).

tff(c_20724,plain,
    ! [Y_251,X_250,Y_252] : ( multiply(double_divide(Y_251,X_250),multiply(Y_252,multiply(X_250,Y_251))) = Y_252 ),
    inference(demodulation,[status(thm),theory(equality)],[c_37,c_20504]) ).

tff(c_22940,plain,
    ! [X_14,Y_13] : ( multiply(multiply(X_14,Y_13),identity) = multiply(Y_13,X_14) ),
    inference(superposition,[status(thm),theory(equality)],[c_74,c_22659]) ).

tff(c_6106,plain,
    ! [X_57,Y_58] : ( multiply(multiply(inverse(X_57),Y_58),X_57) = Y_58 ),
    inference(demodulation,[status(thm),theory(equality)],[c_5266,c_1584]) ).

tff(c_24979,plain,
    ! [Y_282,X_283,Y_284] : ( multiply(multiply(double_divide(Y_282,X_283),Y_284),multiply(X_283,Y_282)) = Y_284 ),
    inference(superposition,[status(thm),theory(equality)],[c_6258,c_6106]) ).

tff(c_25118,plain,
    ! [X_14,Y_13,Y_284] : ( multiply(multiply(double_divide(identity,multiply(X_14,Y_13)),Y_284),multiply(Y_13,X_14)) = Y_284 ),
    inference(superposition,[status(thm),theory(equality)],[c_22940,c_24979]) ).

tff(c_30884,plain,
    ! [Y_314,X_315,Y_316] : ( multiply(multiply(Y_314,X_315),multiply(double_divide(Y_314,X_315),Y_316)) = Y_316 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6469,c_6257,c_5266,c_25118]) ).

tff(c_31092,plain,
    ! [Y_251,X_250,Y_252] : ( multiply(multiply(Y_251,X_250),Y_252) = multiply(Y_252,multiply(X_250,Y_251)) ),
    inference(superposition,[status(thm),theory(equality)],[c_20724,c_30884]) ).

tff(c_106012,plain,
    ! [Z_552,Z_553,X_554,Y_252] : ( multiply(multiply(double_divide(Z_552,double_divide(Z_553,X_554)),Z_552),Y_252) = multiply(Y_252,multiply(Z_553,X_554)) ),
    inference(superposition,[status(thm),theory(equality)],[c_105839,c_31092]) ).

tff(c_106564,plain,
    ! [Y_252,Z_553,X_554] : ( multiply(Y_252,multiply(Z_553,X_554)) = multiply(X_554,multiply(Z_553,Y_252)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_96127,c_37,c_7079,c_6469,c_106012]) ).

tff(c_3109,plain,
    ! [X_80,Y_81] : ( inverse(multiply(identity,multiply(X_80,Y_81))) = double_divide(Y_81,X_80) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_1921]) ).

tff(c_3284,plain,
    ! [Y_82] : ( double_divide(identity,Y_82) = inverse(Y_82) ),
    inference(superposition,[status(thm),theory(equality)],[c_1207,c_3109]) ).

tff(c_3376,plain,
    ! [Y_83] : ( inverse(multiply(Y_83,inverse(Y_83))) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_3284,c_1911]) ).

tff(c_3293,plain,
    ! [Y_82] : ( inverse(multiply(Y_82,inverse(Y_82))) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_3284,c_1911]) ).

tff(c_3379,plain,
    ! [Y_83] : ( inverse(multiply(multiply(Y_83,inverse(Y_83)),identity)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_3376,c_3293]) ).

tff(c_3496,plain,
    ! [Y_84] : ( double_divide(inverse(Y_84),Y_84) = identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_2014,c_1116,c_3379]) ).

tff(c_3508,plain,
    ! [Y_84] : ( multiply(identity,Y_84) = Y_84 ),
    inference(superposition,[status(thm),theory(equality)],[c_3496,c_2029]) ).

tff(c_2005,plain,
    ! [Y_10] : ( inverse(inverse(multiply(identity,Y_10))) = Y_10 ),
    inference(superposition,[status(thm),theory(equality)],[c_53,c_1921]) ).

tff(c_3613,plain,
    ! [Y_10] : ( inverse(inverse(Y_10)) = Y_10 ),
    inference(demodulation,[status(thm),theory(equality)],[c_3508,c_2005]) ).

tff(c_3211,plain,
    ! [Y_52] : ( double_divide(identity,Y_52) = inverse(Y_52) ),
    inference(superposition,[status(thm),theory(equality)],[c_1207,c_3109]) ).

tff(c_4432,plain,
    ! [X_98,Y_99] : ( inverse(multiply(X_98,Y_99)) = double_divide(Y_99,X_98) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3508,c_190]) ).

tff(c_4619,plain,
    ! [X_102,Y_103] : ( double_divide(multiply(X_102,Y_103),double_divide(Y_103,X_102)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_4432,c_8]) ).

tff(c_4639,plain,
    ! [Y_103,X_102] : ( multiply(double_divide(identity,inverse(Y_103)),X_102) = multiply(X_102,Y_103) ),
    inference(superposition,[status(thm),theory(equality)],[c_4619,c_1526]) ).

tff(c_4733,plain,
    ! [Y_103,X_102] : ( multiply(Y_103,X_102) = multiply(X_102,Y_103) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3613,c_3211,c_4639]) ).

tff(c_698,plain,
    ( ( multiply(identity,a2) != a2 )
    | ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(b4,a4) != multiply(a4,b4) ) ),
    inference(splitRight,[status(thm)],[c_192]) ).

tff(c_3105,plain,
    ( ( multiply(a2,identity) != a2 )
    | ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(b4,a4) != multiply(a4,b4) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1116,c_698]) ).

tff(c_3106,plain,
    multiply(b4,a4) != multiply(a4,b4),
    inference(splitLeft,[status(thm)],[c_3105]) ).

tff(c_4759,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4733,c_3106]) ).

tff(c_4760,plain,
    ( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(a2,identity) != a2 ) ),
    inference(splitRight,[status(thm)],[c_3105]) ).

tff(c_17974,plain,
    multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
    inference(demodulation,[status(thm),theory(equality)],[c_5538,c_6469,c_4760]) ).

tff(c_129282,plain,
    multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(demodulation,[status(thm),theory(equality)],[c_106564,c_17974]) ).

tff(c_253211,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6469,c_178143,c_129282]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GRP101-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.08/0.15  % 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
% 0.15/0.36  % Computer : n024.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 22:12:00 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 64.57/51.12  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.57/51.14  
% 64.57/51.14  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 64.75/51.19  
% 64.75/51.19  Inference rules
% 64.75/51.19  ----------------------
% 64.75/51.19  #Ref     : 0
% 64.75/51.19  #Sup     : 64605
% 64.75/51.19  #Fact    : 0
% 64.75/51.19  #Define  : 0
% 64.75/51.19  #Split   : 2
% 64.75/51.19  #Chain   : 0
% 64.75/51.19  #Close   : 0
% 64.75/51.19  
% 64.75/51.19  Ordering : KBO
% 64.75/51.19  
% 64.75/51.19  Simplification rules
% 64.75/51.19  ----------------------
% 64.75/51.19  #Subsume      : 5552
% 64.75/51.19  #Demod        : 116248
% 64.75/51.19  #Tautology    : 25589
% 64.75/51.19  #SimpNegUnit  : 1
% 64.75/51.19  #BackRed      : 104
% 64.75/51.19  
% 64.75/51.19  #Partial instantiations: 0
% 64.75/51.19  #Strategies tried      : 1
% 64.75/51.19  
% 64.75/51.19  Timing (in seconds)
% 64.75/51.19  ----------------------
% 64.75/51.20  Preprocessing        : 0.42
% 64.75/51.20  Parsing              : 0.22
% 64.75/51.20  CNF conversion       : 0.02
% 64.75/51.20  Main loop            : 49.67
% 64.75/51.20  Inferencing          : 3.86
% 64.75/51.20  Reduction            : 36.87
% 64.75/51.20  Demodulation         : 35.60
% 64.75/51.20  BG Simplification    : 0.54
% 64.75/51.20  Subsumption          : 6.08
% 64.75/51.20  Abstraction          : 1.07
% 64.75/51.20  MUC search           : 0.00
% 64.75/51.20  Cooper               : 0.00
% 64.75/51.20  Total                : 50.18
% 64.75/51.20  Index Insertion      : 0.00
% 64.75/51.20  Index Deletion       : 0.00
% 64.75/51.20  Index Matching       : 0.00
% 64.75/51.20  BG Taut test         : 0.00
%------------------------------------------------------------------------------