%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP269-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : 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 10:40:43 EDT 2023

% Result   : Unsatisfiable 201.46s 169.63s
% Output   : CNFRefutation 201.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   48
% Syntax   : Number of formulae    :  660 ( 529 unt;  14 typ;   0 def)
%            Number of atoms       :  919 ( 890 equ)
%            Maximal formula atoms :   15 (   1 avg)
%            Number of connectives :  584 ( 311   ~; 273   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-2 aty)
%            Number of variables   :  349 (; 349   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c11 > sk_c10 > sk_c1 > identity

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(sk_c4,type,
    sk_c4: $i ).

tff(sk_c7,type,
    sk_c7: $i ).

tff(sk_c5,type,
    sk_c5: $i ).

tff(sk_c2,type,
    sk_c2: $i ).

tff(sk_c3,type,
    sk_c3: $i ).

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

tff(sk_c10,type,
    sk_c10: $i ).

tff(sk_c8,type,
    sk_c8: $i ).

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

tff(sk_c11,type,
    sk_c11: $i ).

tff(sk_c9,type,
    sk_c9: $i ).

tff(sk_c6,type,
    sk_c6: $i ).

tff(sk_c1,type,
    sk_c1: $i ).

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

tff(f_53,axiom,
    ! [X] : ( multiply(identity,X) = X ),
    file(unknown,unknown) ).

tff(f_57,axiom,
    ! [X] : ( multiply(inverse(X),X) = identity ),
    file(unknown,unknown) ).

tff(f_140,axiom,
    ( ( multiply(sk_c11,sk_c9) = sk_c10 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_164,axiom,
    ( ( multiply(sk_c2,sk_c11) = sk_c9 )
    | ( inverse(sk_c4) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_206,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( inverse(sk_c7) = sk_c6 ) ),
    file(unknown,unknown) ).

tff(f_60,axiom,
    ! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
    file(unknown,unknown) ).

tff(f_89,axiom,
    ( ( multiply(sk_c1,sk_c11) = sk_c10 )
    | ( inverse(sk_c6) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_116,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( inverse(sk_c7) = sk_c6 ) ),
    file(unknown,unknown) ).

tff(f_257,axiom,
    ! [X5,X6,X3,X7,X1,X2,X8,X4] :
      ( ( multiply(X3,sk_c11) != sk_c10 )
      | ( inverse(X3) != sk_c11 )
      | ( multiply(sk_c11,sk_c9) != sk_c10 )
      | ( multiply(X4,sk_c11) != sk_c9 )
      | ( inverse(X4) != sk_c11 )
      | ( multiply(X1,sk_c11) != sk_c10 )
      | ( inverse(X1) != sk_c11 )
      | ( multiply(X2,sk_c10) != sk_c9 )
      | ( inverse(X2) != sk_c10 )
      | ( multiply(X5,X6) != sk_c11 )
      | ( inverse(X5) != X6 )
      | ( multiply(X6,sk_c10) != sk_c11 )
      | ( inverse(X7) != X8 )
      | ( inverse(X8) != X6 )
      | ( multiply(X7,X6) != X8 ) ),
    file(unknown,unknown) ).

tff(f_137,axiom,
    ( ( multiply(sk_c11,sk_c9) = sk_c10 )
    | ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_65,axiom,
    ( ( multiply(sk_c1,sk_c11) = sk_c10 )
    | ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_68,axiom,
    ( ( multiply(sk_c1,sk_c11) = sk_c10 )
    | ( inverse(sk_c3) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_128,axiom,
    ( ( multiply(sk_c11,sk_c9) = sk_c10 )
    | ( inverse(sk_c3) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_167,axiom,
    ( ( multiply(sk_c2,sk_c11) = sk_c9 )
    | ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_170,axiom,
    ( ( multiply(sk_c2,sk_c11) = sk_c9 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_161,axiom,
    ( ( multiply(sk_c2,sk_c11) = sk_c9 )
    | ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_98,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( inverse(sk_c3) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_95,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_119,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( inverse(sk_c6) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_122,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
    file(unknown,unknown) ).

tff(f_110,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_107,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_104,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( inverse(sk_c4) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_101,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_113,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_185,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_188,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( inverse(sk_c3) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_191,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_194,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( inverse(sk_c4) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_203,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_200,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_197,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_209,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( inverse(sk_c6) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_212,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
    file(unknown,unknown) ).

tff(c_2,plain,
    ! [X_1] : ( multiply(identity,X_1) = X_1 ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_4,plain,
    ! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_58,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_140]) ).

tff(c_592483,plain,
    multiply(sk_c11,sk_c9) = sk_c10,
    inference(splitLeft,[status(thm)],[c_58]) ).

tff(c_74,plain,
    ( ( inverse(sk_c4) = sk_c10 )
    | ( multiply(sk_c2,sk_c11) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_164]) ).

tff(c_162,plain,
    multiply(sk_c2,sk_c11) = sk_c9,
    inference(splitLeft,[status(thm)],[c_74]) ).

tff(c_102,plain,
    ( ( inverse(sk_c7) = sk_c6 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_125,plain,
    inverse(sk_c2) = sk_c11,
    inference(splitLeft,[status(thm)],[c_102]) ).

tff(c_129,plain,
    multiply(sk_c11,sk_c2) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_125,c_4]) ).

tff(c_592583,plain,
    ! [X_1146,Y_1147,Z_1148] : ( multiply(multiply(X_1146,Y_1147),Z_1148) = multiply(X_1146,multiply(Y_1147,Z_1148)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_592637,plain,
    ! [Z_1148] : ( multiply(sk_c11,multiply(sk_c2,Z_1148)) = multiply(identity,Z_1148) ),
    inference(superposition,[status(thm),theory(equality)],[c_129,c_592583]) ).

tff(c_592805,plain,
    ! [Z_1153] : ( multiply(sk_c11,multiply(sk_c2,Z_1153)) = Z_1153 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_592637]) ).

tff(c_592817,plain,
    multiply(sk_c11,sk_c9) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_162,c_592805]) ).

tff(c_592821,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_592483,c_592817]) ).

tff(c_592829,plain,
    multiply(sk_c10,sk_c9) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_592821,c_592483]) ).

tff(c_592640,plain,
    ! [X_2,Z_1148] : ( multiply(inverse(X_2),multiply(X_2,Z_1148)) = multiply(identity,Z_1148) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_592583]) ).

tff(c_592975,plain,
    ! [X_1157,Z_1158] : ( multiply(inverse(X_1157),multiply(X_1157,Z_1158)) = Z_1158 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_592640]) ).

tff(c_593011,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_592829,c_592975]) ).

tff(c_593071,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_593011]) ).

tff(c_592831,plain,
    multiply(sk_c2,sk_c10) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_592821,c_162]) ).

tff(c_593078,plain,
    multiply(sk_c2,sk_c10) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_593071,c_592831]) ).

tff(c_24,plain,
    ( ( inverse(sk_c6) = sk_c8 )
    | ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_167,plain,
    multiply(sk_c1,sk_c11) = sk_c10,
    inference(splitLeft,[status(thm)],[c_24]) ).

tff(c_42,plain,
    ( ( inverse(sk_c7) = sk_c6 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_137,plain,
    inverse(sk_c1) = sk_c11,
    inference(splitLeft,[status(thm)],[c_42]) ).

tff(c_141,plain,
    multiply(sk_c11,sk_c1) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_137,c_4]) ).

tff(c_591977,plain,
    ! [X_1135,Y_1136,Z_1137] : ( multiply(multiply(X_1135,Y_1136),Z_1137) = multiply(X_1135,multiply(Y_1136,Z_1137)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_592028,plain,
    ! [Z_1137] : ( multiply(sk_c11,multiply(sk_c1,Z_1137)) = multiply(identity,Z_1137) ),
    inference(superposition,[status(thm),theory(equality)],[c_141,c_591977]) ).

tff(c_592051,plain,
    ! [Z_1138] : ( multiply(sk_c11,multiply(sk_c1,Z_1138)) = Z_1138 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_592028]) ).

tff(c_592063,plain,
    multiply(sk_c11,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_167,c_592051]) ).

tff(c_592034,plain,
    ! [X_2,Z_1137] : ( multiply(inverse(X_2),multiply(X_2,Z_1137)) = multiply(identity,Z_1137) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_591977]) ).

tff(c_592183,plain,
    ! [X_1142,Z_1143] : ( multiply(inverse(X_1142),multiply(X_1142,Z_1143)) = Z_1143 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_592034]) ).

tff(c_592225,plain,
    multiply(inverse(sk_c11),sk_c11) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_592063,c_592183]) ).

tff(c_592308,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_592225]) ).

tff(c_592031,plain,
    ! [Z_1137] : ( multiply(sk_c11,multiply(sk_c2,Z_1137)) = multiply(identity,Z_1137) ),
    inference(superposition,[status(thm),theory(equality)],[c_129,c_591977]) ).

tff(c_592074,plain,
    ! [Z_1139] : ( multiply(sk_c11,multiply(sk_c2,Z_1139)) = Z_1139 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_592031]) ).

tff(c_592086,plain,
    multiply(sk_c11,sk_c9) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_162,c_592074]) ).

tff(c_175,plain,
    multiply(sk_c11,sk_c9) = sk_c10,
    inference(splitLeft,[status(thm)],[c_58]) ).

tff(c_209,plain,
    ! [X_16,Y_17,Z_18] : ( multiply(multiply(X_16,Y_17),Z_18) = multiply(X_16,multiply(Y_17,Z_18)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_236,plain,
    ! [Z_18] : ( multiply(sk_c11,multiply(sk_c2,Z_18)) = multiply(identity,Z_18) ),
    inference(superposition,[status(thm),theory(equality)],[c_129,c_209]) ).

tff(c_274,plain,
    ! [Z_20] : ( multiply(sk_c11,multiply(sk_c2,Z_20)) = Z_20 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_236]) ).

tff(c_286,plain,
    multiply(sk_c11,sk_c9) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_162,c_274]) ).

tff(c_290,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_175,c_286]) ).

tff(c_233,plain,
    ! [Z_18] : ( multiply(sk_c11,multiply(sk_c1,Z_18)) = multiply(identity,Z_18) ),
    inference(superposition,[status(thm),theory(equality)],[c_141,c_209]) ).

tff(c_251,plain,
    ! [Z_19] : ( multiply(sk_c11,multiply(sk_c1,Z_19)) = Z_19 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_233]) ).

tff(c_263,plain,
    multiply(sk_c11,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_167,c_251]) ).

tff(c_292,plain,
    multiply(sk_c10,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_290,c_290,c_263]) ).

tff(c_239,plain,
    ! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = multiply(identity,Z_18) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_209]) ).

tff(c_249,plain,
    ! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = Z_18 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).

tff(c_460,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_292,c_249]) ).

tff(c_466,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_460]) ).

tff(c_298,plain,
    inverse(sk_c1) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_290,c_137]) ).

tff(c_343,plain,
    multiply(sk_c10,sk_c1) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_298,c_4]) ).

tff(c_526,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_466,c_343]) ).

tff(c_474,plain,
    inverse(sk_c1) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_466,c_298]) ).

tff(c_527,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_474]) ).

tff(c_362,plain,
    ! [X_21,Z_22] : ( multiply(inverse(X_21),multiply(X_21,Z_22)) = Z_22 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).

tff(c_613,plain,
    ! [X_25,Z_26] : ( multiply(inverse(inverse(X_25)),Z_26) = multiply(X_25,Z_26) ),
    inference(superposition,[status(thm),theory(equality)],[c_249,c_362]) ).

tff(c_395,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_362]) ).

tff(c_620,plain,
    ! [X_25] : ( multiply(X_25,identity) = X_25 ),
    inference(superposition,[status(thm),theory(equality)],[c_613,c_395]) ).

tff(c_651,plain,
    ! [X_25] : ( multiply(X_25,inverse(X_25)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_613]) ).

tff(c_6,plain,
    ! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_876,plain,
    ! [X_32,Y_33,Z_34] : ( multiply(inverse(multiply(X_32,Y_33)),multiply(X_32,multiply(Y_33,Z_34))) = Z_34 ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_362]) ).

tff(c_955,plain,
    ! [X_32,X_2] : ( multiply(inverse(multiply(X_32,inverse(X_2))),multiply(X_32,identity)) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_876]) ).

tff(c_992,plain,
    ! [X_35,X_36] : ( multiply(inverse(multiply(X_35,inverse(X_36))),X_35) = X_36 ),
    inference(demodulation,[status(thm),theory(equality)],[c_620,c_955]) ).

tff(c_627,plain,
    ! [X_25,Z_18] : ( multiply(X_25,multiply(inverse(X_25),Z_18)) = Z_18 ),
    inference(superposition,[status(thm),theory(equality)],[c_613,c_249]) ).

tff(c_1012,plain,
    ! [X_35,X_36] : ( multiply(multiply(X_35,inverse(X_36)),X_36) = X_35 ),
    inference(superposition,[status(thm),theory(equality)],[c_992,c_627]) ).

tff(c_656,plain,
    ! [X_27] : ( multiply(X_27,identity) = X_27 ),
    inference(superposition,[status(thm),theory(equality)],[c_613,c_395]) ).

tff(c_374,plain,
    ! [X_2,Z_18] : ( multiply(inverse(inverse(X_2)),Z_18) = multiply(X_2,Z_18) ),
    inference(superposition,[status(thm),theory(equality)],[c_249,c_362]) ).

tff(c_663,plain,
    ! [X_2] : ( inverse(inverse(X_2)) = multiply(X_2,identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_656,c_374]) ).

tff(c_708,plain,
    ! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
    inference(demodulation,[status(thm),theory(equality)],[c_620,c_663]) ).

tff(c_924,plain,
    ! [X_32,X_25] : ( multiply(inverse(multiply(X_32,X_25)),multiply(X_32,identity)) = inverse(X_25) ),
    inference(superposition,[status(thm),theory(equality)],[c_651,c_876]) ).

tff(c_1247,plain,
    ! [X_41,X_42] : ( multiply(inverse(multiply(X_41,X_42)),X_41) = inverse(X_42) ),
    inference(demodulation,[status(thm),theory(equality)],[c_620,c_924]) ).

tff(c_980,plain,
    ! [X_32,X_25] : ( multiply(inverse(multiply(X_32,X_25)),X_32) = inverse(X_25) ),
    inference(demodulation,[status(thm),theory(equality)],[c_620,c_924]) ).

tff(c_1250,plain,
    ! [X_42,X_41] : ( multiply(inverse(inverse(X_42)),inverse(multiply(X_41,X_42))) = inverse(X_41) ),
    inference(superposition,[status(thm),theory(equality)],[c_1247,c_980]) ).

tff(c_1359,plain,
    ! [X_43,X_44] : ( multiply(X_43,inverse(multiply(X_44,X_43))) = inverse(X_44) ),
    inference(demodulation,[status(thm),theory(equality)],[c_708,c_1250]) ).

tff(c_1416,plain,
    ! [X_35,X_36] : ( inverse(multiply(X_35,inverse(X_36))) = multiply(X_36,inverse(X_35)) ),
    inference(superposition,[status(thm),theory(equality)],[c_1012,c_1359]) ).

tff(c_108,plain,
    ! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
      ( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
      | ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
      | ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
      | ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
      | ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 )
      | ( inverse(X1_10) != sk_c11 )
      | ( multiply(X1_10,sk_c11) != sk_c10 )
      | ( inverse(X4_13) != sk_c11 )
      | ( multiply(X4_13,sk_c11) != sk_c9 )
      | ( multiply(sk_c11,sk_c9) != sk_c10 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(X3_8,sk_c11) != sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_257]) ).

tff(c_312,plain,
    ! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
      ( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
      | ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
      | ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
      | ( multiply(X5_6,inverse(X5_6)) != sk_c10 )
      | ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 )
      | ( inverse(X1_10) != sk_c10 )
      | ( multiply(X1_10,sk_c10) != sk_c10 )
      | ( inverse(X4_13) != sk_c10 )
      | ( multiply(X4_13,sk_c10) != sk_c9 )
      | ( multiply(sk_c10,sk_c9) != sk_c10 )
      | ( inverse(X3_8) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_290,c_290,c_290,c_290,c_290,c_290,c_290,c_290,c_290,c_108]) ).

tff(c_313,plain,
    multiply(sk_c10,sk_c9) != sk_c10,
    inference(splitLeft,[status(thm)],[c_312]) ).

tff(c_294,plain,
    multiply(sk_c10,sk_c9) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_290,c_175]) ).

tff(c_337,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_313,c_294]) ).

tff(c_339,plain,
    multiply(sk_c10,sk_c9) = sk_c10,
    inference(splitRight,[status(thm)],[c_312]) ).

tff(c_383,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_339,c_362]) ).

tff(c_402,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_383]) ).

tff(c_338,plain,
    ! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
      ( ( inverse(X3_8) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c10 )
      | ( inverse(X4_13) != sk_c10 )
      | ( multiply(X4_13,sk_c10) != sk_c9 )
      | ( inverse(X1_10) != sk_c10 )
      | ( multiply(X1_10,sk_c10) != sk_c10 )
      | ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 )
      | ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
      | ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
      | ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
      | ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_312]) ).

tff(c_8975,plain,
    ! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
      ( ( inverse(X3_8) != identity )
      | ( identity != X3_8 )
      | ( inverse(X4_13) != identity )
      | ( identity != X4_13 )
      | ( inverse(X1_10) != identity )
      | ( identity != X1_10 )
      | ( inverse(X2_11) != identity )
      | ( identity != X2_11 )
      | ( multiply(X5_6,inverse(X7_9)) != inverse(X5_6) )
      | ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
      | ( inverse(X5_6) != identity ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_651,c_466,c_620,c_466,c_466,c_1416,c_620,c_466,c_402,c_466,c_620,c_466,c_466,c_466,c_620,c_466,c_402,c_466,c_620,c_466,c_466,c_466,c_338]) ).

tff(c_32272,plain,
    ! [X5_225,X7_226] :
      ( ( multiply(X5_225,inverse(X7_226)) != inverse(X5_225) )
      | ( multiply(X7_226,inverse(X5_225)) != inverse(X7_226) )
      | ( inverse(X5_225) != identity ) ),
    inference(splitLeft,[status(thm)],[c_8975]) ).

tff(c_32340,plain,
    ! [X7_226] :
      ( ( inverse(identity) != inverse(X7_226) )
      | ( multiply(X7_226,inverse(identity)) != inverse(X7_226) )
      | ( inverse(identity) != identity ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_32272]) ).

tff(c_32368,plain,
    ! [X7_227] :
      ( ( inverse(X7_227) != identity )
      | ( inverse(X7_227) != X7_227 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_527,c_620,c_527,c_527,c_32340]) ).

tff(c_32380,plain,
    inverse(identity) != identity,
    inference(superposition,[status(thm),theory(equality)],[c_527,c_32368]) ).

tff(c_32389,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_527,c_32380]) ).

tff(c_32390,plain,
    ! [X3_8,X4_13,X1_10,X2_11] :
      ( ( inverse(X3_8) != identity )
      | ( identity != X3_8 )
      | ( inverse(X4_13) != identity )
      | ( identity != X4_13 )
      | ( inverse(X1_10) != identity )
      | ( identity != X1_10 )
      | ( inverse(X2_11) != identity )
      | ( identity != X2_11 ) ),
    inference(splitRight,[status(thm)],[c_8975]) ).

tff(c_591854,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_32390]) ).

tff(c_591856,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_591854,c_527]) ).

tff(c_591857,plain,
    ! [X1_10,X4_13,X3_8] :
      ( ( inverse(X1_10) != identity )
      | ( identity != X1_10 )
      | ( inverse(X4_13) != identity )
      | ( identity != X4_13 )
      | ( inverse(X3_8) != identity )
      | ( identity != X3_8 ) ),
    inference(splitRight,[status(thm)],[c_32390]) ).

tff(c_591859,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_591857]) ).

tff(c_591861,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_591859,c_527]) ).

tff(c_591862,plain,
    ! [X4_13,X1_10] :
      ( ( inverse(X4_13) != identity )
      | ( identity != X4_13 )
      | ( inverse(X1_10) != identity )
      | ( identity != X1_10 ) ),
    inference(splitRight,[status(thm)],[c_591857]) ).

tff(c_591864,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_591862]) ).

tff(c_591866,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_591864,c_527]) ).

tff(c_591868,plain,
    inverse(identity) != identity,
    inference(splitRight,[status(thm)],[c_591862]) ).

tff(c_591870,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_591868,c_527]) ).

tff(c_591872,plain,
    multiply(sk_c11,sk_c9) != sk_c10,
    inference(splitRight,[status(thm)],[c_58]) ).

tff(c_592090,plain,
    sk_c11 != sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_592086,c_591872]) ).

tff(c_592331,plain,
    sk_c11 != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_592308,c_592090]) ).

tff(c_591871,plain,
    inverse(sk_c5) = sk_c8,
    inference(splitRight,[status(thm)],[c_58]) ).

tff(c_56,plain,
    ( ( multiply(sk_c5,sk_c8) = sk_c11 )
    | ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_591949,plain,
    multiply(sk_c5,sk_c8) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_591872,c_56]) ).

tff(c_592243,plain,
    multiply(inverse(sk_c5),sk_c11) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_591949,c_592183]) ).

tff(c_592311,plain,
    multiply(sk_c8,sk_c11) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_591871,c_592243]) ).

tff(c_592049,plain,
    ! [X_2,Z_1137] : ( multiply(inverse(X_2),multiply(X_2,Z_1137)) = Z_1137 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_592034]) ).

tff(c_592460,plain,
    multiply(inverse(sk_c8),sk_c8) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_592311,c_592049]) ).

tff(c_592466,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_592460]) ).

tff(c_592468,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_592331,c_592466]) ).

tff(c_592470,plain,
    multiply(sk_c1,sk_c11) != sk_c10,
    inference(splitRight,[status(thm)],[c_24]) ).

tff(c_8,plain,
    ( ( multiply(sk_c3,sk_c11) = sk_c10 )
    | ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_592548,plain,
    multiply(sk_c3,sk_c11) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_592470,c_8]) ).

tff(c_592826,plain,
    multiply(sk_c3,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_592821,c_592548]) ).

tff(c_10,plain,
    ( ( inverse(sk_c3) = sk_c11 )
    | ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_592510,plain,
    inverse(sk_c3) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_592470,c_10]) ).

tff(c_592514,plain,
    multiply(sk_c11,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_592510,c_4]) ).

tff(c_592619,plain,
    ! [Z_1148] : ( multiply(sk_c11,multiply(sk_c3,Z_1148)) = multiply(identity,Z_1148) ),
    inference(superposition,[status(thm),theory(equality)],[c_592514,c_592583]) ).

tff(c_592650,plain,
    ! [Z_1148] : ( multiply(sk_c11,multiply(sk_c3,Z_1148)) = Z_1148 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_592619]) ).

tff(c_592959,plain,
    ! [Z_1156] : ( multiply(sk_c10,multiply(sk_c3,Z_1156)) = Z_1156 ),
    inference(demodulation,[status(thm),theory(equality)],[c_592821,c_592650]) ).

tff(c_592971,plain,
    multiply(sk_c10,sk_c10) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_592826,c_592959]) ).

tff(c_592631,plain,
    ! [Z_1148] : ( multiply(sk_c2,multiply(sk_c11,Z_1148)) = multiply(sk_c9,Z_1148) ),
    inference(superposition,[status(thm),theory(equality)],[c_162,c_592583]) ).

tff(c_593175,plain,
    ! [Z_1148] : ( multiply(sk_c2,multiply(sk_c10,Z_1148)) = Z_1148 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_593071,c_592821,c_592631]) ).

tff(c_593281,plain,
    multiply(sk_c2,sk_c10) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_592971,c_593175]) ).

tff(c_593290,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_593078,c_593281]) ).

tff(c_592833,plain,
    inverse(sk_c1) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_592821,c_137]) ).

tff(c_593313,plain,
    inverse(sk_c1) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_593290,c_592833]) ).

tff(c_593404,plain,
    multiply(identity,sk_c1) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_593313,c_4]) ).

tff(c_592655,plain,
    ! [X_2,Z_1148] : ( multiply(inverse(X_2),multiply(X_2,Z_1148)) = Z_1148 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_592640]) ).

tff(c_593486,plain,
    multiply(inverse(identity),identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_593404,c_592655]) ).

tff(c_593498,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_593486]) ).

tff(c_592830,plain,
    multiply(sk_c1,sk_c10) != sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_592821,c_592470]) ).

tff(c_593309,plain,
    multiply(sk_c1,identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_593290,c_593290,c_592830]) ).

tff(c_593523,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_593498,c_593309]) ).

tff(c_593524,plain,
    inverse(sk_c5) = sk_c8,
    inference(splitRight,[status(thm)],[c_58]) ).

tff(c_593525,plain,
    multiply(sk_c11,sk_c9) != sk_c10,
    inference(splitRight,[status(thm)],[c_58]) ).

tff(c_593603,plain,
    multiply(sk_c5,sk_c8) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_593525,c_56]) ).

tff(c_593631,plain,
    ! [X_1161,Y_1162,Z_1163] : ( multiply(multiply(X_1161,Y_1162),Z_1163) = multiply(X_1161,multiply(Y_1162,Z_1163)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_593685,plain,
    ! [X_2,Z_1163] : ( multiply(inverse(X_2),multiply(X_2,Z_1163)) = multiply(identity,Z_1163) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_593631]) ).

tff(c_593813,plain,
    ! [X_1168,Z_1169] : ( multiply(inverse(X_1168),multiply(X_1168,Z_1169)) = Z_1169 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_593685]) ).

tff(c_593864,plain,
    multiply(inverse(sk_c5),sk_c11) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_593603,c_593813]) ).

tff(c_593930,plain,
    multiply(sk_c8,sk_c11) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_593524,c_593864]) ).

tff(c_593700,plain,
    ! [X_2,Z_1163] : ( multiply(inverse(X_2),multiply(X_2,Z_1163)) = Z_1163 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_593685]) ).

tff(c_593956,plain,
    multiply(inverse(sk_c8),sk_c8) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_593930,c_593700]) ).

tff(c_593962,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_593956]) ).

tff(c_593682,plain,
    ! [Z_1163] : ( multiply(sk_c11,multiply(sk_c2,Z_1163)) = multiply(identity,Z_1163) ),
    inference(superposition,[status(thm),theory(equality)],[c_129,c_593631]) ).

tff(c_593715,plain,
    ! [Z_1165] : ( multiply(sk_c11,multiply(sk_c2,Z_1165)) = Z_1165 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_593682]) ).

tff(c_593727,plain,
    multiply(sk_c11,sk_c9) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_162,c_593715]) ).

tff(c_593731,plain,
    sk_c11 != sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_593727,c_593525]) ).

tff(c_594001,plain,
    sk_c10 != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_593962,c_593731]) ).

tff(c_50,plain,
    ( ( inverse(sk_c3) = sk_c11 )
    | ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_128]) ).

tff(c_593533,plain,
    inverse(sk_c3) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_593525,c_50]) ).

tff(c_593598,plain,
    multiply(sk_c3,sk_c11) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_592470,c_8]) ).

tff(c_593867,plain,
    multiply(inverse(sk_c3),sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_593598,c_593813]) ).

tff(c_593931,plain,
    multiply(sk_c11,sk_c10) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_593533,c_593867]) ).

tff(c_594099,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_593962,c_2,c_593962,c_593931]) ).

tff(c_594100,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_594001,c_594099]) ).

tff(c_594102,plain,
    multiply(sk_c2,sk_c11) != sk_c9,
    inference(splitRight,[status(thm)],[c_74]) ).

tff(c_76,plain,
    ( ( multiply(sk_c5,sk_c8) = sk_c11 )
    | ( multiply(sk_c2,sk_c11) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_167]) ).

tff(c_594215,plain,
    multiply(sk_c5,sk_c8) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_594102,c_76]) ).

tff(c_78,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( multiply(sk_c2,sk_c11) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_170]) ).

tff(c_594142,plain,
    inverse(sk_c5) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_594102,c_78]) ).

tff(c_594146,plain,
    multiply(sk_c8,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_594142,c_4]) ).

tff(c_594220,plain,
    ! [X_1172,Y_1173,Z_1174] : ( multiply(multiply(X_1172,Y_1173),Z_1174) = multiply(X_1172,multiply(Y_1173,Z_1174)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_594256,plain,
    ! [Z_1174] : ( multiply(sk_c8,multiply(sk_c5,Z_1174)) = multiply(identity,Z_1174) ),
    inference(superposition,[status(thm),theory(equality)],[c_594146,c_594220]) ).

tff(c_594536,plain,
    ! [Z_1182] : ( multiply(sk_c8,multiply(sk_c5,Z_1182)) = Z_1182 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_594256]) ).

tff(c_594548,plain,
    multiply(sk_c8,sk_c11) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_594215,c_594536]) ).

tff(c_594277,plain,
    ! [X_2,Z_1174] : ( multiply(inverse(X_2),multiply(X_2,Z_1174)) = multiply(identity,Z_1174) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_594220]) ).

tff(c_594857,plain,
    ! [X_1191,Z_1192] : ( multiply(inverse(X_1191),multiply(X_1191,Z_1192)) = Z_1192 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_594277]) ).

tff(c_594917,plain,
    multiply(inverse(sk_c8),sk_c8) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_594548,c_594857]) ).

tff(c_595019,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_594917]) ).

tff(c_595055,plain,
    inverse(sk_c2) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_595019,c_125]) ).

tff(c_595198,plain,
    multiply(identity,sk_c2) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_595055,c_4]) ).

tff(c_594292,plain,
    ! [X_2,Z_1174] : ( multiply(inverse(X_2),multiply(X_2,Z_1174)) = Z_1174 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_594277]) ).

tff(c_595378,plain,
    multiply(inverse(identity),identity) = sk_c2,
    inference(superposition,[status(thm),theory(equality)],[c_595198,c_594292]) ).

tff(c_595390,plain,
    sk_c2 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_595378]) ).

tff(c_72,plain,
    ( ( multiply(sk_c4,sk_c10) = sk_c9 )
    | ( multiply(sk_c2,sk_c11) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_161]) ).

tff(c_594202,plain,
    multiply(sk_c4,sk_c10) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_594102,c_72]) ).

tff(c_594101,plain,
    inverse(sk_c4) = sk_c10,
    inference(splitRight,[status(thm)],[c_74]) ).

tff(c_594107,plain,
    multiply(sk_c10,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_594101,c_4]) ).

tff(c_594265,plain,
    ! [Z_1174] : ( multiply(sk_c10,multiply(sk_c4,Z_1174)) = multiply(identity,Z_1174) ),
    inference(superposition,[status(thm),theory(equality)],[c_594107,c_594220]) ).

tff(c_594512,plain,
    ! [Z_1181] : ( multiply(sk_c10,multiply(sk_c4,Z_1181)) = Z_1181 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_594265]) ).

tff(c_594524,plain,
    multiply(sk_c10,sk_c9) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_594202,c_594512]) ).

tff(c_594923,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_594524,c_594857]) ).

tff(c_595020,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_594923]) ).

tff(c_595050,plain,
    multiply(sk_c2,identity) != sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_595019,c_594102]) ).

tff(c_595466,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595390,c_595020,c_595050]) ).

tff(c_595468,plain,
    inverse(sk_c1) != sk_c11,
    inference(splitRight,[status(thm)],[c_42]) ).

tff(c_30,plain,
    ( ( inverse(sk_c3) = sk_c11 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_595506,plain,
    inverse(sk_c3) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_595468,c_30]) ).

tff(c_28,plain,
    ( ( multiply(sk_c3,sk_c11) = sk_c10 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_95]) ).

tff(c_595540,plain,
    multiply(sk_c3,sk_c11) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_595468,c_28]) ).

tff(c_595467,plain,
    inverse(sk_c7) = sk_c6,
    inference(splitRight,[status(thm)],[c_42]) ).

tff(c_595472,plain,
    multiply(sk_c6,sk_c7) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_595467,c_4]) ).

tff(c_44,plain,
    ( ( inverse(sk_c6) = sk_c8 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_119]) ).

tff(c_595494,plain,
    inverse(sk_c6) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_595468,c_44]) ).

tff(c_595498,plain,
    multiply(sk_c8,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_595494,c_4]) ).

tff(c_595592,plain,
    ! [X_1197,Y_1198,Z_1199] : ( multiply(multiply(X_1197,Y_1198),Z_1199) = multiply(X_1197,multiply(Y_1198,Z_1199)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_595628,plain,
    ! [Z_1199] : ( multiply(sk_c8,multiply(sk_c6,Z_1199)) = multiply(identity,Z_1199) ),
    inference(superposition,[status(thm),theory(equality)],[c_595498,c_595592]) ).

tff(c_595679,plain,
    ! [Z_1201] : ( multiply(sk_c8,multiply(sk_c6,Z_1201)) = Z_1201 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595628]) ).

tff(c_595691,plain,
    multiply(sk_c8,identity) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_595472,c_595679]) ).

tff(c_46,plain,
    ( ( multiply(sk_c7,sk_c8) = sk_c6 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_595570,plain,
    multiply(sk_c7,sk_c8) = sk_c6,
    inference(negUnitSimplification,[status(thm)],[c_595468,c_46]) ).

tff(c_595634,plain,
    ! [Z_1199] : ( multiply(sk_c6,multiply(sk_c7,Z_1199)) = multiply(identity,Z_1199) ),
    inference(superposition,[status(thm),theory(equality)],[c_595472,c_595592]) ).

tff(c_634061,plain,
    ! [Z_1441] : ( multiply(sk_c6,multiply(sk_c7,Z_1441)) = Z_1441 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595634]) ).

tff(c_634076,plain,
    multiply(sk_c6,sk_c6) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_595570,c_634061]) ).

tff(c_634253,plain,
    ! [Z_1446] : ( multiply(sk_c7,multiply(sk_c8,Z_1446)) = multiply(sk_c6,Z_1446) ),
    inference(superposition,[status(thm),theory(equality)],[c_595570,c_595592]) ).

tff(c_634280,plain,
    multiply(sk_c7,identity) = multiply(sk_c6,sk_c6),
    inference(superposition,[status(thm),theory(equality)],[c_595498,c_634253]) ).

tff(c_634287,plain,
    multiply(sk_c7,identity) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_634076,c_634280]) ).

tff(c_595652,plain,
    ! [Z_1199] : ( multiply(sk_c6,multiply(sk_c7,Z_1199)) = Z_1199 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595634]) ).

tff(c_634291,plain,
    multiply(sk_c6,sk_c8) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_634287,c_595652]) ).

tff(c_595650,plain,
    ! [Z_1199] : ( multiply(sk_c8,multiply(sk_c6,Z_1199)) = Z_1199 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595628]) ).

tff(c_634302,plain,
    multiply(sk_c8,identity) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_634291,c_595650]) ).

tff(c_634308,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_595691,c_634302]) ).

tff(c_38,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_110]) ).

tff(c_595481,plain,
    inverse(sk_c5) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_595468,c_38]) ).

tff(c_595485,plain,
    multiply(sk_c8,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_595481,c_4]) ).

tff(c_634323,plain,
    multiply(sk_c7,sk_c5) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_634308,c_595485]) ).

tff(c_634450,plain,
    multiply(sk_c6,identity) = sk_c5,
    inference(superposition,[status(thm),theory(equality)],[c_634323,c_595652]) ).

tff(c_634321,plain,
    multiply(sk_c7,sk_c6) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_634308,c_595498]) ).

tff(c_634461,plain,
    multiply(sk_c6,identity) = sk_c6,
    inference(superposition,[status(thm),theory(equality)],[c_634321,c_595652]) ).

tff(c_634558,plain,
    sk_c6 = sk_c5,
    inference(demodulation,[status(thm),theory(equality)],[c_634450,c_634461]) ).

tff(c_634575,plain,
    inverse(sk_c7) = sk_c5,
    inference(demodulation,[status(thm),theory(equality)],[c_634558,c_595467]) ).

tff(c_634585,plain,
    multiply(sk_c5,sk_c7) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_634575,c_4]) ).

tff(c_36,plain,
    ( ( multiply(sk_c5,sk_c8) = sk_c11 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_107]) ).

tff(c_595545,plain,
    multiply(sk_c5,sk_c8) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_595468,c_36]) ).

tff(c_634319,plain,
    multiply(sk_c5,sk_c7) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_634308,c_595545]) ).

tff(c_634622,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_634585,c_634319]) ).

tff(c_34,plain,
    ( ( inverse(sk_c4) = sk_c10 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_104]) ).

tff(c_595519,plain,
    inverse(sk_c4) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_595468,c_34]) ).

tff(c_32,plain,
    ( ( multiply(sk_c4,sk_c10) = sk_c9 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_595555,plain,
    multiply(sk_c4,sk_c10) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_595468,c_32]) ).

tff(c_595523,plain,
    multiply(sk_c10,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_595519,c_4]) ).

tff(c_595622,plain,
    ! [Z_1199] : ( multiply(sk_c10,multiply(sk_c4,Z_1199)) = multiply(identity,Z_1199) ),
    inference(superposition,[status(thm),theory(equality)],[c_595523,c_595592]) ).

tff(c_595656,plain,
    ! [Z_1200] : ( multiply(sk_c10,multiply(sk_c4,Z_1200)) = Z_1200 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595622]) ).

tff(c_595668,plain,
    multiply(sk_c10,sk_c9) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_595555,c_595656]) ).

tff(c_595640,plain,
    ! [X_2,Z_1199] : ( multiply(inverse(X_2),multiply(X_2,Z_1199)) = multiply(identity,Z_1199) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_595592]) ).

tff(c_595804,plain,
    ! [X_1206,Z_1207] : ( multiply(inverse(X_1206),multiply(X_1206,Z_1207)) = Z_1207 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595640]) ).

tff(c_595852,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_595668,c_595804]) ).

tff(c_595923,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_595852]) ).

tff(c_595510,plain,
    multiply(sk_c11,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_595506,c_4]) ).

tff(c_595625,plain,
    ! [Z_1199] : ( multiply(sk_c11,multiply(sk_c3,Z_1199)) = multiply(identity,Z_1199) ),
    inference(superposition,[status(thm),theory(equality)],[c_595510,c_595592]) ).

tff(c_595704,plain,
    ! [Z_1202] : ( multiply(sk_c11,multiply(sk_c3,Z_1202)) = Z_1202 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595625]) ).

tff(c_595716,plain,
    multiply(sk_c11,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_595540,c_595704]) ).

tff(c_595840,plain,
    multiply(inverse(sk_c11),sk_c11) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_595716,c_595804]) ).

tff(c_595922,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_595840]) ).

tff(c_595631,plain,
    ! [Z_1199] : ( multiply(sk_c8,multiply(sk_c5,Z_1199)) = multiply(identity,Z_1199) ),
    inference(superposition,[status(thm),theory(equality)],[c_595485,c_595592]) ).

tff(c_595760,plain,
    ! [Z_1204] : ( multiply(sk_c8,multiply(sk_c5,Z_1204)) = Z_1204 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595631]) ).

tff(c_595772,plain,
    multiply(sk_c8,sk_c11) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_595545,c_595760]) ).

tff(c_595828,plain,
    multiply(inverse(sk_c8),sk_c8) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_595772,c_595804]) ).

tff(c_595919,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_595828]) ).

tff(c_595703,plain,
    multiply(sk_c11,sk_c9) != sk_c10,
    inference(splitLeft,[status(thm)],[c_108]) ).

tff(c_595938,plain,
    multiply(identity,sk_c9) != sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_595919,c_595703]) ).

tff(c_595948,plain,
    sk_c9 != sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595938]) ).

tff(c_596021,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_595923,c_595922,c_595948]) ).

tff(c_596023,plain,
    multiply(sk_c11,sk_c9) = sk_c10,
    inference(splitRight,[status(thm)],[c_108]) ).

tff(c_40,plain,
    ( ( multiply(sk_c8,sk_c10) = sk_c11 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_595532,plain,
    multiply(sk_c8,sk_c10) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_595468,c_40]) ).

tff(c_596091,plain,
    ! [Z_1211] : ( multiply(sk_c8,multiply(sk_c10,Z_1211)) = multiply(sk_c11,Z_1211) ),
    inference(superposition,[status(thm),theory(equality)],[c_595532,c_595592]) ).

tff(c_596103,plain,
    multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c9),
    inference(superposition,[status(thm),theory(equality)],[c_595668,c_596091]) ).

tff(c_596113,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_596023,c_595532,c_596103]) ).

tff(c_596031,plain,
    ! [Z_1209] : ( multiply(sk_c11,multiply(sk_c3,Z_1209)) = Z_1209 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595625]) ).

tff(c_596043,plain,
    multiply(sk_c11,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_595540,c_596031]) ).

tff(c_596116,plain,
    multiply(sk_c10,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_596113,c_596113,c_596043]) ).

tff(c_595654,plain,
    ! [X_2,Z_1199] : ( multiply(inverse(X_2),multiply(X_2,Z_1199)) = Z_1199 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595640]) ).

tff(c_596421,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_596116,c_595654]) ).

tff(c_596427,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_596421]) ).

tff(c_596126,plain,
    inverse(sk_c2) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_596113,c_125]) ).

tff(c_596142,plain,
    multiply(sk_c10,sk_c2) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_596126,c_4]) ).

tff(c_596493,plain,
    sk_c2 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_596427,c_596142]) ).

tff(c_596465,plain,
    inverse(sk_c2) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_596427,c_596126]) ).

tff(c_596494,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_596493,c_596465]) ).

tff(c_596267,plain,
    ! [X_1214,Z_1215] : ( multiply(inverse(X_1214),multiply(X_1214,Z_1215)) = Z_1215 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595640]) ).

tff(c_596306,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_595668,c_596267]) ).

tff(c_596334,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_596306]) ).

tff(c_596678,plain,
    ! [X_1220,Z_1221] : ( multiply(inverse(inverse(X_1220)),Z_1221) = multiply(X_1220,Z_1221) ),
    inference(superposition,[status(thm),theory(equality)],[c_596267,c_595654]) ).

tff(c_596324,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_596267]) ).

tff(c_596685,plain,
    ! [X_1220] : ( multiply(X_1220,identity) = X_1220 ),
    inference(superposition,[status(thm),theory(equality)],[c_596678,c_596324]) ).

tff(c_596022,plain,
    ! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
      ( ( inverse(X3_8) != sk_c11 )
      | ( multiply(X3_8,sk_c11) != sk_c10 )
      | ( inverse(X4_13) != sk_c11 )
      | ( multiply(X4_13,sk_c11) != sk_c9 )
      | ( inverse(X1_10) != sk_c11 )
      | ( multiply(X1_10,sk_c11) != sk_c10 )
      | ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 )
      | ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
      | ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
      | ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
      | ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
    inference(splitRight,[status(thm)],[c_108]) ).

tff(c_596054,plain,
    ! [X7_9,X5_6] :
      ( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
      | ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
      | ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
      | ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
    inference(splitLeft,[status(thm)],[c_596022]) ).

tff(c_596158,plain,
    ! [X7_1212,X5_1213] :
      ( ( inverse(multiply(X7_1212,inverse(X5_1213))) != inverse(X5_1213) )
      | ( multiply(X7_1212,inverse(X5_1213)) != inverse(X7_1212) )
      | ( multiply(inverse(X5_1213),sk_c10) != sk_c10 )
      | ( multiply(X5_1213,inverse(X5_1213)) != sk_c10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_596113,c_596113,c_596054]) ).

tff(c_596167,plain,
    ! [X7_1212] :
      ( ( inverse(multiply(X7_1212,sk_c10)) != inverse(sk_c4) )
      | ( multiply(X7_1212,inverse(sk_c4)) != inverse(X7_1212) )
      | ( multiply(inverse(sk_c4),sk_c10) != sk_c10 )
      | ( multiply(sk_c4,inverse(sk_c4)) != sk_c10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_595519,c_596158]) ).

tff(c_596181,plain,
    ! [X7_1212] :
      ( ( inverse(multiply(X7_1212,sk_c10)) != sk_c10 )
      | ( multiply(X7_1212,sk_c10) != inverse(X7_1212) )
      | ( multiply(sk_c10,sk_c10) != sk_c10 )
      | ( sk_c9 != sk_c10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_595555,c_595519,c_595519,c_595519,c_595519,c_596167]) ).

tff(c_634038,plain,
    ! [X7_1440] :
      ( ( inverse(X7_1440) != identity )
      | ( inverse(X7_1440) != X7_1440 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_596427,c_596334,c_2,c_596427,c_596685,c_596427,c_596685,c_596427,c_596427,c_596181]) ).

tff(c_634050,plain,
    inverse(identity) != identity,
    inference(superposition,[status(thm),theory(equality)],[c_596494,c_634038]) ).

tff(c_634059,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_596494,c_634050]) ).

tff(c_634060,plain,
    ! [X2_11,X1_10,X4_13,X3_8] :
      ( ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 )
      | ( inverse(X1_10) != sk_c11 )
      | ( multiply(X1_10,sk_c11) != sk_c10 )
      | ( inverse(X4_13) != sk_c11 )
      | ( multiply(X4_13,sk_c11) != sk_c9 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(X3_8,sk_c11) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_596022]) ).

tff(c_634202,plain,
    ! [X3_1444] :
      ( ( inverse(X3_1444) != sk_c11 )
      | ( multiply(X3_1444,sk_c11) != sk_c10 ) ),
    inference(splitLeft,[status(thm)],[c_634060]) ).

tff(c_634209,plain,
    inverse(sk_c3) != sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_595540,c_634202]) ).

tff(c_634221,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_595506,c_634209]) ).

tff(c_634222,plain,
    ! [X4_13,X1_10,X2_11] :
      ( ( inverse(X4_13) != sk_c11 )
      | ( multiply(X4_13,sk_c11) != sk_c9 )
      | ( inverse(X1_10) != sk_c11 )
      | ( multiply(X1_10,sk_c11) != sk_c10 )
      | ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_634060]) ).

tff(c_634409,plain,
    ! [X2_1447] :
      ( ( inverse(X2_1447) != sk_c10 )
      | ( multiply(X2_1447,sk_c10) != sk_c9 ) ),
    inference(splitLeft,[status(thm)],[c_634222]) ).

tff(c_634422,plain,
    inverse(sk_c4) != sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_595555,c_634409]) ).

tff(c_634435,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_595519,c_634422]) ).

tff(c_634436,plain,
    ! [X1_10,X4_13] :
      ( ( inverse(X1_10) != sk_c11 )
      | ( multiply(X1_10,sk_c11) != sk_c10 )
      | ( inverse(X4_13) != sk_c11 )
      | ( multiply(X4_13,sk_c11) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_634222]) ).

tff(c_634589,plain,
    ! [X4_1449] :
      ( ( inverse(X4_1449) != sk_c11 )
      | ( multiply(X4_1449,sk_c11) != sk_c9 ) ),
    inference(splitLeft,[status(thm)],[c_634436]) ).

tff(c_634604,plain,
    ( ( inverse(identity) != sk_c11 )
    | ( sk_c9 != sk_c11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_634589]) ).

tff(c_634669,plain,
    ( ( inverse(identity) != identity )
    | ( sk_c9 != identity ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_634622,c_634622,c_634604]) ).

tff(c_634670,plain,
    sk_c9 != identity,
    inference(splitLeft,[status(thm)],[c_634669]) ).

tff(c_634517,plain,
    ! [Z_1448] : ( multiply(sk_c4,multiply(sk_c10,Z_1448)) = multiply(sk_c9,Z_1448) ),
    inference(superposition,[status(thm),theory(equality)],[c_595555,c_595592]) ).

tff(c_634532,plain,
    multiply(sk_c9,sk_c9) = multiply(sk_c4,sk_c10),
    inference(superposition,[status(thm),theory(equality)],[c_595668,c_634517]) ).

tff(c_634542,plain,
    multiply(sk_c9,sk_c9) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_595555,c_634532]) ).

tff(c_634791,plain,
    ! [X_1450,Z_1451] : ( multiply(inverse(X_1450),multiply(X_1450,Z_1451)) = Z_1451 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_595640]) ).

tff(c_634827,plain,
    multiply(inverse(sk_c9),sk_c9) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_634542,c_634791]) ).

tff(c_634865,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_634827]) ).

tff(c_634867,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_634670,c_634865]) ).

tff(c_634868,plain,
    inverse(identity) != identity,
    inference(splitRight,[status(thm)],[c_634669]) ).

tff(c_634642,plain,
    inverse(sk_c2) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_634622,c_125]) ).

tff(c_634657,plain,
    multiply(identity,sk_c2) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_634642,c_4]) ).

tff(c_634887,plain,
    sk_c2 = identity,
    inference(superposition,[status(thm),theory(equality)],[c_634657,c_2]) ).

tff(c_634896,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_634887,c_634642]) ).

tff(c_634899,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_634868,c_634896]) ).

tff(c_634917,plain,
    ! [X1_1452] :
      ( ( inverse(X1_1452) != sk_c11 )
      | ( multiply(X1_1452,sk_c11) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_634436]) ).

tff(c_634927,plain,
    inverse(sk_c3) != sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_595540,c_634917]) ).

tff(c_634941,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_595506,c_634927]) ).

tff(c_634942,plain,
    inverse(sk_c7) = sk_c6,
    inference(splitRight,[status(thm)],[c_102]) ).

tff(c_634947,plain,
    multiply(sk_c6,sk_c7) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_634942,c_4]) ).

tff(c_635079,plain,
    ! [X_1453,Y_1454,Z_1455] : ( multiply(multiply(X_1453,Y_1454),Z_1455) = multiply(X_1453,multiply(Y_1454,Z_1455)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_635127,plain,
    ! [X_2,Z_1455] : ( multiply(inverse(X_2),multiply(X_2,Z_1455)) = multiply(identity,Z_1455) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_635079]) ).

tff(c_635141,plain,
    ! [X_2,Z_1455] : ( multiply(inverse(X_2),multiply(X_2,Z_1455)) = Z_1455 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635127]) ).

tff(c_637703,plain,
    ! [X_1501,Z_1502] : ( multiply(inverse(X_1501),multiply(X_1501,Z_1502)) = Z_1502 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635127]) ).

tff(c_638146,plain,
    ! [X_1506,Z_1507] : ( multiply(inverse(inverse(X_1506)),Z_1507) = multiply(X_1506,Z_1507) ),
    inference(superposition,[status(thm),theory(equality)],[c_635141,c_637703]) ).

tff(c_637772,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_637703]) ).

tff(c_638153,plain,
    ! [X_1506] : ( multiply(X_1506,identity) = X_1506 ),
    inference(superposition,[status(thm),theory(equality)],[c_638146,c_637772]) ).

tff(c_634943,plain,
    inverse(sk_c2) != sk_c11,
    inference(splitRight,[status(thm)],[c_102]) ).

tff(c_88,plain,
    ( ( multiply(sk_c3,sk_c11) = sk_c10 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_185]) ).

tff(c_635033,plain,
    multiply(sk_c3,sk_c11) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_634943,c_88]) ).

tff(c_90,plain,
    ( ( inverse(sk_c3) = sk_c11 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_634980,plain,
    inverse(sk_c3) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_634943,c_90]) ).

tff(c_634984,plain,
    multiply(sk_c11,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_634980,c_4]) ).

tff(c_635115,plain,
    ! [Z_1455] : ( multiply(sk_c11,multiply(sk_c3,Z_1455)) = multiply(identity,Z_1455) ),
    inference(superposition,[status(thm),theory(equality)],[c_634984,c_635079]) ).

tff(c_636823,plain,
    ! [Z_1485] : ( multiply(sk_c11,multiply(sk_c3,Z_1485)) = Z_1485 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635115]) ).

tff(c_636847,plain,
    multiply(sk_c11,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_635033,c_636823]) ).

tff(c_635100,plain,
    ! [Z_1455] : ( multiply(sk_c3,multiply(sk_c11,Z_1455)) = multiply(sk_c10,Z_1455) ),
    inference(superposition,[status(thm),theory(equality)],[c_635033,c_635079]) ).

tff(c_636854,plain,
    multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10),
    inference(superposition,[status(thm),theory(equality)],[c_636847,c_635100]) ).

tff(c_636860,plain,
    multiply(sk_c10,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_635033,c_636854]) ).

tff(c_637806,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_636860,c_635141]) ).

tff(c_637812,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_637806]) ).

tff(c_92,plain,
    ( ( multiply(sk_c4,sk_c10) = sk_c9 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_191]) ).

tff(c_635026,plain,
    multiply(sk_c4,sk_c10) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_634943,c_92]) ).

tff(c_94,plain,
    ( ( inverse(sk_c4) = sk_c10 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_194]) ).

tff(c_634968,plain,
    inverse(sk_c4) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_634943,c_94]) ).

tff(c_634972,plain,
    multiply(sk_c10,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_634968,c_4]) ).

tff(c_635118,plain,
    ! [Z_1455] : ( multiply(sk_c10,multiply(sk_c4,Z_1455)) = multiply(identity,Z_1455) ),
    inference(superposition,[status(thm),theory(equality)],[c_634972,c_635079]) ).

tff(c_636624,plain,
    ! [Z_1481] : ( multiply(sk_c10,multiply(sk_c4,Z_1481)) = Z_1481 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635118]) ).

tff(c_636636,plain,
    multiply(sk_c10,sk_c9) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_635026,c_636624]) ).

tff(c_637730,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_636636,c_637703]) ).

tff(c_637780,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_637730]) ).

tff(c_637003,plain,
    ! [X_1487,Z_1488] : ( multiply(inverse(X_1487),multiply(X_1487,Z_1488)) = Z_1488 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635127]) ).

tff(c_637311,plain,
    ! [X_1491,Z_1492] : ( multiply(inverse(inverse(X_1491)),Z_1492) = multiply(X_1491,Z_1492) ),
    inference(superposition,[status(thm),theory(equality)],[c_637003,c_635141]) ).

tff(c_637069,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_637003]) ).

tff(c_637318,plain,
    ! [X_1491] : ( multiply(X_1491,identity) = X_1491 ),
    inference(superposition,[status(thm),theory(equality)],[c_637311,c_637069]) ).

tff(c_100,plain,
    ( ( multiply(sk_c8,sk_c10) = sk_c11 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_203]) ).

tff(c_635040,plain,
    multiply(sk_c8,sk_c10) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_634943,c_100]) ).

tff(c_98,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_200]) ).

tff(c_634993,plain,
    inverse(sk_c5) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_634943,c_98]) ).

tff(c_96,plain,
    ( ( multiply(sk_c5,sk_c8) = sk_c11 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_197]) ).

tff(c_635021,plain,
    multiply(sk_c5,sk_c8) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_634943,c_96]) ).

tff(c_635250,plain,
    ! [X_1460,Z_1461] : ( multiply(inverse(X_1460),multiply(X_1460,Z_1461)) = Z_1461 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635127]) ).

tff(c_635307,plain,
    multiply(inverse(sk_c5),sk_c11) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_635021,c_635250]) ).

tff(c_635360,plain,
    multiply(sk_c8,sk_c11) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_634993,c_635307]) ).

tff(c_635480,plain,
    multiply(inverse(sk_c8),sk_c8) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_635360,c_635141]) ).

tff(c_635490,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_635480]) ).

tff(c_635144,plain,
    ! [Z_1456] : ( multiply(sk_c10,multiply(sk_c4,Z_1456)) = Z_1456 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635118]) ).

tff(c_635156,plain,
    multiply(sk_c10,sk_c9) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_635026,c_635144]) ).

tff(c_635286,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_635156,c_635250]) ).

tff(c_635356,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_635286]) ).

tff(c_635227,plain,
    ! [Z_1459] : ( multiply(sk_c11,multiply(sk_c3,Z_1459)) = Z_1459 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635115]) ).

tff(c_635239,plain,
    multiply(sk_c11,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_635033,c_635227]) ).

tff(c_635268,plain,
    multiply(inverse(sk_c11),sk_c11) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_635239,c_635250]) ).

tff(c_635353,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_635268]) ).

tff(c_635143,plain,
    multiply(sk_c11,sk_c9) != sk_c10,
    inference(splitLeft,[status(thm)],[c_108]) ).

tff(c_635368,plain,
    multiply(sk_c11,sk_c9) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_635353,c_635143]) ).

tff(c_635808,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635490,c_635356,c_635368]) ).

tff(c_635810,plain,
    multiply(sk_c11,sk_c9) = sk_c10,
    inference(splitRight,[status(thm)],[c_108]) ).

tff(c_636862,plain,
    ! [Z_1486] : ( multiply(sk_c8,multiply(sk_c10,Z_1486)) = multiply(sk_c11,Z_1486) ),
    inference(superposition,[status(thm),theory(equality)],[c_635040,c_635079]) ).

tff(c_636874,plain,
    multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c9),
    inference(superposition,[status(thm),theory(equality)],[c_636636,c_636862]) ).

tff(c_636884,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_635040,c_635810,c_636874]) ).

tff(c_636887,plain,
    multiply(sk_c10,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_636884,c_636884,c_636847]) ).

tff(c_637027,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_636887,c_637003]) ).

tff(c_637078,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_637027]) ).

tff(c_637048,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_636636,c_637003]) ).

tff(c_637081,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_637048]) ).

tff(c_636577,plain,
    ! [Z_1480] : ( multiply(sk_c3,multiply(sk_c11,Z_1480)) = multiply(sk_c10,Z_1480) ),
    inference(superposition,[status(thm),theory(equality)],[c_635033,c_635079]) ).

tff(c_636589,plain,
    multiply(sk_c3,sk_c10) = multiply(sk_c10,sk_c9),
    inference(superposition,[status(thm),theory(equality)],[c_635810,c_636577]) ).

tff(c_636648,plain,
    multiply(sk_c3,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_636636,c_636589]) ).

tff(c_636656,plain,
    ! [Z_1482] : ( multiply(sk_c11,multiply(sk_c3,Z_1482)) = Z_1482 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635115]) ).

tff(c_636671,plain,
    multiply(sk_c11,sk_c10) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_636648,c_636656]) ).

tff(c_636680,plain,
    multiply(sk_c11,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_635033,c_636656]) ).

tff(c_636748,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_636671,c_636680]) ).

tff(c_636768,plain,
    inverse(sk_c3) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_636748,c_634980]) ).

tff(c_635973,plain,
    ! [Z_1471] : ( multiply(sk_c11,multiply(sk_c3,Z_1471)) = Z_1471 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635115]) ).

tff(c_635997,plain,
    multiply(sk_c11,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_635033,c_635973]) ).

tff(c_636004,plain,
    multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10),
    inference(superposition,[status(thm),theory(equality)],[c_635997,c_635100]) ).

tff(c_636010,plain,
    multiply(sk_c10,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_635033,c_636004]) ).

tff(c_636222,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_636010,c_635141]) ).

tff(c_636228,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_636222]) ).

tff(c_635909,plain,
    ! [Z_1468] : ( multiply(sk_c10,multiply(sk_c4,Z_1468)) = Z_1468 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635118]) ).

tff(c_635921,plain,
    multiply(sk_c10,sk_c9) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_635026,c_635909]) ).

tff(c_635862,plain,
    ! [Z_1467] : ( multiply(sk_c3,multiply(sk_c11,Z_1467)) = multiply(sk_c10,Z_1467) ),
    inference(superposition,[status(thm),theory(equality)],[c_635033,c_635079]) ).

tff(c_635874,plain,
    multiply(sk_c3,sk_c10) = multiply(sk_c10,sk_c9),
    inference(superposition,[status(thm),theory(equality)],[c_635810,c_635862]) ).

tff(c_635965,plain,
    multiply(sk_c3,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_635921,c_635874]) ).

tff(c_635988,plain,
    multiply(sk_c11,sk_c10) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_635965,c_635973]) ).

tff(c_636058,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_635988,c_635997]) ).

tff(c_634955,plain,
    inverse(sk_c1) = sk_c11,
    inference(splitLeft,[status(thm)],[c_44]) ).

tff(c_636081,plain,
    inverse(sk_c1) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_636058,c_634955]) ).

tff(c_636215,plain,
    multiply(sk_c10,sk_c1) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_636081,c_4]) ).

tff(c_636342,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_636228,c_636215]) ).

tff(c_636244,plain,
    inverse(sk_c1) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_636228,c_636081]) ).

tff(c_636343,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_636342,c_636244]) ).

tff(c_104,plain,
    ( ( inverse(sk_c6) = sk_c8 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_209]) ).

tff(c_635001,plain,
    inverse(sk_c6) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_634943,c_104]) ).

tff(c_635005,plain,
    multiply(sk_c8,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_635001,c_4]) ).

tff(c_635109,plain,
    ! [Z_1455] : ( multiply(sk_c8,multiply(sk_c6,Z_1455)) = multiply(identity,Z_1455) ),
    inference(superposition,[status(thm),theory(equality)],[c_635005,c_635079]) ).

tff(c_635819,plain,
    ! [Z_1465] : ( multiply(sk_c8,multiply(sk_c6,Z_1465)) = Z_1465 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635109]) ).

tff(c_635831,plain,
    multiply(sk_c8,identity) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_634947,c_635819]) ).

tff(c_106,plain,
    ( ( multiply(sk_c7,sk_c8) = sk_c6 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_212]) ).

tff(c_635059,plain,
    multiply(sk_c7,sk_c8) = sk_c6,
    inference(negUnitSimplification,[status(thm)],[c_634943,c_106]) ).

tff(c_635124,plain,
    ! [Z_1455] : ( multiply(sk_c6,multiply(sk_c7,Z_1455)) = multiply(identity,Z_1455) ),
    inference(superposition,[status(thm),theory(equality)],[c_634947,c_635079]) ).

tff(c_635843,plain,
    ! [Z_1466] : ( multiply(sk_c6,multiply(sk_c7,Z_1466)) = Z_1466 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635124]) ).

tff(c_635858,plain,
    multiply(sk_c6,sk_c6) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_635059,c_635843]) ).

tff(c_636012,plain,
    ! [Z_1472] : ( multiply(sk_c7,multiply(sk_c8,Z_1472)) = multiply(sk_c6,Z_1472) ),
    inference(superposition,[status(thm),theory(equality)],[c_635059,c_635079]) ).

tff(c_636039,plain,
    multiply(sk_c7,identity) = multiply(sk_c6,sk_c6),
    inference(superposition,[status(thm),theory(equality)],[c_635005,c_636012]) ).

tff(c_636046,plain,
    multiply(sk_c7,identity) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_635858,c_636039]) ).

tff(c_636096,plain,
    ! [X_1473,Z_1474] : ( multiply(inverse(X_1473),multiply(X_1473,Z_1474)) = Z_1474 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635127]) ).

tff(c_636117,plain,
    multiply(inverse(sk_c7),sk_c8) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_636046,c_636096]) ).

tff(c_636190,plain,
    multiply(sk_c6,sk_c8) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_634942,c_636117]) ).

tff(c_636312,plain,
    multiply(inverse(sk_c6),identity) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_636190,c_635141]) ).

tff(c_636321,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_635831,c_635001,c_636312]) ).

tff(c_636336,plain,
    inverse(sk_c5) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_636321,c_634993]) ).

tff(c_636365,plain,
    multiply(sk_c7,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_636336,c_4]) ).

tff(c_636247,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_636228,c_636058]) ).

tff(c_635097,plain,
    ! [Z_1455] : ( multiply(sk_c8,multiply(sk_c10,Z_1455)) = multiply(sk_c11,Z_1455) ),
    inference(superposition,[status(thm),theory(equality)],[c_635040,c_635079]) ).

tff(c_636394,plain,
    ! [Z_1455] : ( multiply(sk_c7,Z_1455) = Z_1455 ),
    inference(demodulation,[status(thm),theory(equality)],[c_636321,c_2,c_636247,c_2,c_636228,c_635097]) ).

tff(c_636419,plain,
    sk_c5 = identity,
    inference(superposition,[status(thm),theory(equality)],[c_636365,c_636394]) ).

tff(c_636436,plain,
    inverse(identity) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_636419,c_636336]) ).

tff(c_636438,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_636343,c_636436]) ).

tff(c_636446,plain,
    sk_c8 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_636438,c_636321]) ).

tff(c_635809,plain,
    ! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
      ( ( inverse(X3_8) != sk_c11 )
      | ( multiply(X3_8,sk_c11) != sk_c10 )
      | ( inverse(X4_13) != sk_c11 )
      | ( multiply(X4_13,sk_c11) != sk_c9 )
      | ( inverse(X1_10) != sk_c11 )
      | ( multiply(X1_10,sk_c11) != sk_c10 )
      | ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 )
      | ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
      | ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
      | ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
      | ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
    inference(splitRight,[status(thm)],[c_108]) ).

tff(c_635932,plain,
    ! [X7_1469,X5_1470] :
      ( ( inverse(multiply(X7_1469,inverse(X5_1470))) != inverse(X5_1470) )
      | ( multiply(X7_1469,inverse(X5_1470)) != inverse(X7_1469) )
      | ( multiply(inverse(X5_1470),sk_c10) != sk_c11 )
      | ( multiply(X5_1470,inverse(X5_1470)) != sk_c11 ) ),
    inference(splitLeft,[status(thm)],[c_635809]) ).

tff(c_635939,plain,
    ! [X7_1469] :
      ( ( inverse(multiply(X7_1469,sk_c8)) != inverse(sk_c5) )
      | ( multiply(X7_1469,inverse(sk_c5)) != inverse(X7_1469) )
      | ( multiply(inverse(sk_c5),sk_c10) != sk_c11 )
      | ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_634993,c_635932]) ).

tff(c_635958,plain,
    ! [X7_1469] :
      ( ( inverse(multiply(X7_1469,sk_c8)) != sk_c8 )
      | ( multiply(X7_1469,sk_c8) != inverse(X7_1469) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_635021,c_634993,c_635040,c_634993,c_634993,c_634993,c_635939]) ).

tff(c_636516,plain,
    ! [X7_1477] :
      ( ( inverse(multiply(X7_1477,identity)) != identity )
      | ( multiply(X7_1477,identity) != inverse(X7_1477) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_636446,c_636446,c_636446,c_635958]) ).

tff(c_636524,plain,
    ( ( inverse(identity) != identity )
    | ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_636516]) ).

tff(c_636532,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_636343,c_636343,c_4,c_636343,c_636524]) ).

tff(c_636533,plain,
    ! [X2_11,X1_10,X4_13,X3_8] :
      ( ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 )
      | ( inverse(X1_10) != sk_c11 )
      | ( multiply(X1_10,sk_c11) != sk_c10 )
      | ( inverse(X4_13) != sk_c11 )
      | ( multiply(X4_13,sk_c11) != sk_c9 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(X3_8,sk_c11) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_635809]) ).

tff(c_636647,plain,
    ! [X3_8] :
      ( ( inverse(X3_8) != sk_c11 )
      | ( multiply(X3_8,sk_c11) != sk_c10 ) ),
    inference(splitLeft,[status(thm)],[c_636533]) ).

tff(c_636787,plain,
    ! [X3_1484] :
      ( ( inverse(X3_1484) != sk_c10 )
      | ( multiply(X3_1484,sk_c10) != sk_c10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_636748,c_636748,c_636647]) ).

tff(c_636793,plain,
    inverse(sk_c3) != sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_636648,c_636787]) ).

tff(c_636813,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_636768,c_636793]) ).

tff(c_636814,plain,
    ! [X4_13,X1_10,X2_11] :
      ( ( inverse(X4_13) != sk_c11 )
      | ( multiply(X4_13,sk_c11) != sk_c9 )
      | ( inverse(X1_10) != sk_c11 )
      | ( multiply(X1_10,sk_c11) != sk_c10 )
      | ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_636533]) ).

tff(c_636930,plain,
    ! [X4_13,X1_10,X2_11] :
      ( ( inverse(X4_13) != sk_c10 )
      | ( multiply(X4_13,sk_c10) != sk_c9 )
      | ( inverse(X1_10) != sk_c10 )
      | ( multiply(X1_10,sk_c10) != sk_c10 )
      | ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_636884,c_636884,c_636884,c_636884,c_636814]) ).

tff(c_636931,plain,
    ! [X2_11] :
      ( ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 ) ),
    inference(splitLeft,[status(thm)],[c_636930]) ).

tff(c_637699,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_637318,c_637078,c_637081,c_637078,c_636931]) ).

tff(c_636895,plain,
    inverse(sk_c3) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_636884,c_634980]) ).

tff(c_636908,plain,
    multiply(sk_c10,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_636895,c_4]) ).

tff(c_637114,plain,
    sk_c3 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_637078,c_636908]) ).

tff(c_637097,plain,
    inverse(sk_c3) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_637078,c_636895]) ).

tff(c_637132,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_637114,c_637097]) ).

tff(c_637701,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_637699,c_637132]) ).

tff(c_637702,plain,
    ! [X1_10,X4_13] :
      ( ( inverse(X1_10) != sk_c10 )
      | ( multiply(X1_10,sk_c10) != sk_c10 )
      | ( inverse(X4_13) != sk_c10 )
      | ( multiply(X4_13,sk_c10) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_636930]) ).

tff(c_651178,plain,
    ! [X1_10,X4_13] :
      ( ( inverse(X1_10) != identity )
      | ( identity != X1_10 )
      | ( inverse(X4_13) != identity )
      | ( identity != X4_13 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_638153,c_637812,c_637780,c_637812,c_638153,c_637812,c_637812,c_637812,c_637702]) ).

tff(c_651180,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_651178]) ).

tff(c_636534,plain,
    ! [Z_1478] : ( multiply(sk_c8,multiply(sk_c6,Z_1478)) = Z_1478 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635109]) ).

tff(c_636546,plain,
    multiply(sk_c8,identity) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_634947,c_636534]) ).

tff(c_636880,plain,
    multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
    inference(superposition,[status(thm),theory(equality)],[c_634972,c_636862]) ).

tff(c_636885,plain,
    multiply(sk_c11,sk_c4) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_636546,c_636880]) ).

tff(c_636919,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_634972,c_636884,c_636885]) ).

tff(c_635094,plain,
    ! [Z_1455] : ( multiply(sk_c7,multiply(sk_c8,Z_1455)) = multiply(sk_c6,Z_1455) ),
    inference(superposition,[status(thm),theory(equality)],[c_635059,c_635079]) ).

tff(c_637865,plain,
    ! [Z_1455] : ( multiply(sk_c8,Z_1455) = multiply(sk_c6,Z_1455) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_636919,c_635094]) ).

tff(c_636891,plain,
    multiply(sk_c8,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_636884,c_635040]) ).

tff(c_637916,plain,
    multiply(sk_c6,identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_637865,c_637812,c_637812,c_636891]) ).

tff(c_636893,plain,
    multiply(sk_c5,sk_c8) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_636884,c_635021]) ).

tff(c_637932,plain,
    multiply(sk_c5,sk_c8) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_637812,c_636893]) ).

tff(c_637936,plain,
    multiply(inverse(sk_c5),identity) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_637932,c_635141]) ).

tff(c_637942,plain,
    sk_c8 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_637916,c_637865,c_634993,c_637936]) ).

tff(c_636558,plain,
    ! [Z_1479] : ( multiply(sk_c6,multiply(sk_c7,Z_1479)) = Z_1479 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635124]) ).

tff(c_636573,plain,
    multiply(sk_c6,sk_c6) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_635059,c_636558]) ).

tff(c_635135,plain,
    ! [Z_1455] : ( multiply(sk_c8,multiply(sk_c6,Z_1455)) = Z_1455 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_635109]) ).

tff(c_636602,plain,
    multiply(sk_c8,sk_c8) = sk_c6,
    inference(superposition,[status(thm),theory(equality)],[c_636573,c_635135]) ).

tff(c_637948,plain,
    multiply(identity,identity) = sk_c6,
    inference(demodulation,[status(thm),theory(equality)],[c_637942,c_637942,c_636602]) ).

tff(c_637956,plain,
    sk_c6 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_637948]) ).

tff(c_637953,plain,
    inverse(sk_c6) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_637942,c_635001]) ).

tff(c_637968,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_637956,c_637953]) ).

tff(c_651182,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_651180,c_637968]) ).

tff(c_651184,plain,
    inverse(identity) != identity,
    inference(splitRight,[status(thm)],[c_651178]) ).

tff(c_651186,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_651184,c_637968]) ).

tff(c_651188,plain,
    inverse(sk_c1) != sk_c11,
    inference(splitRight,[status(thm)],[c_44]) ).

tff(c_651282,plain,
    multiply(sk_c7,sk_c8) = sk_c6,
    inference(negUnitSimplification,[status(thm)],[c_651188,c_46]) ).

tff(c_651311,plain,
    ! [X_1627,Y_1628,Z_1629] : ( multiply(multiply(X_1627,Y_1628),Z_1629) = multiply(X_1627,multiply(Y_1628,Z_1629)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_651353,plain,
    ! [Z_1629] : ( multiply(sk_c6,multiply(sk_c7,Z_1629)) = multiply(identity,Z_1629) ),
    inference(superposition,[status(thm),theory(equality)],[c_634947,c_651311]) ).

tff(c_652939,plain,
    ! [Z_1657] : ( multiply(sk_c6,multiply(sk_c7,Z_1657)) = Z_1657 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651353]) ).

tff(c_652954,plain,
    multiply(sk_c6,sk_c6) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_651282,c_652939]) ).

tff(c_651187,plain,
    inverse(sk_c6) = sk_c8,
    inference(splitRight,[status(thm)],[c_44]) ).

tff(c_651192,plain,
    multiply(sk_c8,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_651187,c_4]) ).

tff(c_651350,plain,
    ! [Z_1629] : ( multiply(sk_c8,multiply(sk_c6,Z_1629)) = multiply(identity,Z_1629) ),
    inference(superposition,[status(thm),theory(equality)],[c_651192,c_651311]) ).

tff(c_651367,plain,
    ! [Z_1629] : ( multiply(sk_c8,multiply(sk_c6,Z_1629)) = Z_1629 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651350]) ).

tff(c_653214,plain,
    ! [Z_1663] : ( multiply(sk_c8,Z_1663) = multiply(sk_c7,Z_1663) ),
    inference(superposition,[status(thm),theory(equality)],[c_652939,c_651367]) ).

tff(c_652012,plain,
    ! [Z_1642] : ( multiply(sk_c8,multiply(sk_c6,Z_1642)) = Z_1642 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651350]) ).

tff(c_652024,plain,
    multiply(sk_c8,identity) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_634947,c_652012]) ).

tff(c_653223,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_653214,c_652024]) ).

tff(c_653271,plain,
    multiply(sk_c7,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_651192,c_653214]) ).

tff(c_652945,plain,
    ! [Z_1657] : ( multiply(sk_c8,Z_1657) = multiply(sk_c7,Z_1657) ),
    inference(superposition,[status(thm),theory(equality)],[c_652939,c_651367]) ).

tff(c_651326,plain,
    ! [Z_1629] : ( multiply(sk_c7,multiply(sk_c8,Z_1629)) = multiply(sk_c6,Z_1629) ),
    inference(superposition,[status(thm),theory(equality)],[c_651282,c_651311]) ).

tff(c_653491,plain,
    ! [Z_1667] : ( multiply(sk_c7,multiply(sk_c7,Z_1667)) = multiply(sk_c6,Z_1667) ),
    inference(demodulation,[status(thm),theory(equality)],[c_652945,c_651326]) ).

tff(c_653521,plain,
    multiply(sk_c7,identity) = multiply(sk_c6,sk_c6),
    inference(superposition,[status(thm),theory(equality)],[c_653271,c_653491]) ).

tff(c_653536,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_652954,c_653223,c_653521]) ).

tff(c_651265,plain,
    multiply(sk_c5,sk_c8) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_634943,c_96]) ).

tff(c_651216,plain,
    inverse(sk_c5) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_634943,c_98]) ).

tff(c_651220,plain,
    multiply(sk_c8,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_651216,c_4]) ).

tff(c_651344,plain,
    ! [Z_1629] : ( multiply(sk_c8,multiply(sk_c5,Z_1629)) = multiply(identity,Z_1629) ),
    inference(superposition,[status(thm),theory(equality)],[c_651220,c_651311]) ).

tff(c_651989,plain,
    ! [Z_1641] : ( multiply(sk_c8,multiply(sk_c5,Z_1641)) = Z_1641 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651344]) ).

tff(c_652001,plain,
    multiply(sk_c8,sk_c11) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_651265,c_651989]) ).

tff(c_653259,plain,
    multiply(sk_c7,sk_c11) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_652001,c_653214]) ).

tff(c_651368,plain,
    ! [Z_1629] : ( multiply(sk_c6,multiply(sk_c7,Z_1629)) = Z_1629 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651353]) ).

tff(c_653345,plain,
    multiply(sk_c6,sk_c8) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_653259,c_651368]) ).

tff(c_653846,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_634947,c_653536,c_653345]) ).

tff(c_651230,plain,
    inverse(sk_c3) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_651188,c_30]) ).

tff(c_653854,plain,
    inverse(sk_c3) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_653846,c_651230]) ).

tff(c_653864,plain,
    multiply(identity,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_653854,c_4]) ).

tff(c_653874,plain,
    sk_c3 = identity,
    inference(superposition,[status(thm),theory(equality)],[c_653864,c_2]) ).

tff(c_653883,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_653874,c_653854]) ).

tff(c_653587,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_634947,c_653536,c_653345]) ).

tff(c_653595,plain,
    inverse(sk_c3) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_653587,c_651230]) ).

tff(c_653605,plain,
    multiply(identity,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_653595,c_4]) ).

tff(c_653615,plain,
    sk_c3 = identity,
    inference(superposition,[status(thm),theory(equality)],[c_653605,c_2]) ).

tff(c_653624,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_653615,c_653595]) ).

tff(c_651202,plain,
    inverse(sk_c4) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_651188,c_34]) ).

tff(c_651252,plain,
    multiply(sk_c4,sk_c10) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_634943,c_92]) ).

tff(c_651270,plain,
    multiply(sk_c3,sk_c11) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_634943,c_88]) ).

tff(c_651234,plain,
    multiply(sk_c11,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_651230,c_4]) ).

tff(c_651341,plain,
    ! [Z_1629] : ( multiply(sk_c11,multiply(sk_c3,Z_1629)) = multiply(identity,Z_1629) ),
    inference(superposition,[status(thm),theory(equality)],[c_651234,c_651311]) ).

tff(c_651371,plain,
    ! [Z_1630] : ( multiply(sk_c11,multiply(sk_c3,Z_1630)) = Z_1630 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651341]) ).

tff(c_651383,plain,
    multiply(sk_c11,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_651270,c_651371]) ).

tff(c_651356,plain,
    ! [X_2,Z_1629] : ( multiply(inverse(X_2),multiply(X_2,Z_1629)) = multiply(identity,Z_1629) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_651311]) ).

tff(c_652331,plain,
    ! [X_1650,Z_1651] : ( multiply(inverse(X_1650),multiply(X_1650,Z_1651)) = Z_1651 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651356]) ).

tff(c_652412,plain,
    multiply(inverse(sk_c11),sk_c11) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_651383,c_652331]) ).

tff(c_652486,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_652412]) ).

tff(c_652525,plain,
    inverse(sk_c4) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_652486,c_651202]) ).

tff(c_652587,plain,
    multiply(identity,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_652525,c_4]) ).

tff(c_651369,plain,
    ! [X_2,Z_1629] : ( multiply(inverse(X_2),multiply(X_2,Z_1629)) = Z_1629 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651356]) ).

tff(c_652609,plain,
    multiply(inverse(identity),identity) = sk_c4,
    inference(superposition,[status(thm),theory(equality)],[c_652587,c_651369]) ).

tff(c_652621,plain,
    sk_c4 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_652609]) ).

tff(c_652625,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_652621,c_652525]) ).

tff(c_652403,plain,
    multiply(inverse(sk_c8),sk_c8) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_652001,c_652331]) ).

tff(c_652485,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_652403]) ).

tff(c_652037,plain,
    ! [Z_1643] : ( multiply(sk_c6,multiply(sk_c7,Z_1643)) = Z_1643 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651353]) ).

tff(c_652168,plain,
    ! [Z_1648] : ( multiply(sk_c8,Z_1648) = multiply(sk_c7,Z_1648) ),
    inference(superposition,[status(thm),theory(equality)],[c_652037,c_651367]) ).

tff(c_652180,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_652168,c_652024]) ).

tff(c_651247,plain,
    multiply(sk_c8,sk_c10) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_651188,c_40]) ).

tff(c_652195,plain,
    multiply(sk_c7,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_652168,c_651247]) ).

tff(c_652823,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_652485,c_652180,c_652486,c_652195]) ).

tff(c_652216,plain,
    multiply(sk_c7,sk_c11) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_652001,c_652168]) ).

tff(c_652647,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_652180,c_652485,c_652216]) ).

tff(c_652830,plain,
    sk_c8 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_652823,c_652647]) ).

tff(c_651498,plain,
    ! [X_1635,Z_1636] : ( multiply(inverse(X_1635),multiply(X_1635,Z_1636)) = Z_1636 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651356]) ).

tff(c_651540,plain,
    multiply(inverse(sk_c11),sk_c11) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_651383,c_651498]) ).

tff(c_651605,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_651540]) ).

tff(c_651395,plain,
    ! [Z_1631] : ( multiply(sk_c8,multiply(sk_c5,Z_1631)) = Z_1631 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651344]) ).

tff(c_651407,plain,
    multiply(sk_c8,sk_c11) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_651265,c_651395]) ).

tff(c_651534,plain,
    multiply(inverse(sk_c8),sk_c8) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_651407,c_651498]) ).

tff(c_651604,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_651534]) ).

tff(c_651206,plain,
    multiply(sk_c10,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_651202,c_4]) ).

tff(c_651347,plain,
    ! [Z_1629] : ( multiply(sk_c10,multiply(sk_c4,Z_1629)) = multiply(identity,Z_1629) ),
    inference(superposition,[status(thm),theory(equality)],[c_651206,c_651311]) ).

tff(c_651434,plain,
    ! [Z_1633] : ( multiply(sk_c10,multiply(sk_c4,Z_1633)) = Z_1633 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651347]) ).

tff(c_651452,plain,
    multiply(sk_c10,sk_c9) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_651252,c_651434]) ).

tff(c_651525,plain,
    multiply(inverse(sk_c10),sk_c10) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_651452,c_651498]) ).

tff(c_651602,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_651525]) ).

tff(c_651394,plain,
    multiply(sk_c11,sk_c9) != sk_c10,
    inference(splitLeft,[status(thm)],[c_108]) ).

tff(c_651619,plain,
    multiply(sk_c11,identity) != sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_651602,c_651394]) ).

tff(c_651979,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_651605,c_2,c_651604,c_651619]) ).

tff(c_651980,plain,
    ! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
      ( ( inverse(X3_8) != sk_c11 )
      | ( multiply(X3_8,sk_c11) != sk_c10 )
      | ( inverse(X4_13) != sk_c11 )
      | ( multiply(X4_13,sk_c11) != sk_c9 )
      | ( inverse(X1_10) != sk_c11 )
      | ( multiply(X1_10,sk_c11) != sk_c10 )
      | ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 )
      | ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
      | ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
      | ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
      | ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
    inference(splitRight,[status(thm)],[c_108]) ).

tff(c_652137,plain,
    ! [X7_1646,X5_1647] :
      ( ( inverse(multiply(X7_1646,inverse(X5_1647))) != inverse(X5_1647) )
      | ( multiply(X7_1646,inverse(X5_1647)) != inverse(X7_1646) )
      | ( multiply(inverse(X5_1647),sk_c10) != sk_c11 )
      | ( multiply(X5_1647,inverse(X5_1647)) != sk_c11 ) ),
    inference(splitLeft,[status(thm)],[c_651980]) ).

tff(c_652144,plain,
    ! [X7_1646] :
      ( ( inverse(multiply(X7_1646,sk_c8)) != inverse(sk_c5) )
      | ( multiply(X7_1646,inverse(sk_c5)) != inverse(X7_1646) )
      | ( multiply(inverse(sk_c5),sk_c10) != sk_c11 )
      | ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_651216,c_652137]) ).

tff(c_652161,plain,
    ! [X7_1646] :
      ( ( inverse(multiply(X7_1646,sk_c8)) != sk_c8 )
      | ( multiply(X7_1646,sk_c8) != inverse(X7_1646) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_651265,c_651216,c_651247,c_651216,c_651216,c_651216,c_652144]) ).

tff(c_652909,plain,
    ! [X7_1656] :
      ( ( inverse(multiply(X7_1656,identity)) != identity )
      | ( multiply(X7_1656,identity) != inverse(X7_1656) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_652830,c_652830,c_652830,c_652161]) ).

tff(c_652920,plain,
    ( ( inverse(identity) != identity )
    | ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_652909]) ).

tff(c_652929,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_652625,c_652625,c_4,c_652625,c_652920]) ).

tff(c_652930,plain,
    ! [X2_11,X1_10,X4_13,X3_8] :
      ( ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 )
      | ( inverse(X1_10) != sk_c11 )
      | ( multiply(X1_10,sk_c11) != sk_c10 )
      | ( inverse(X4_13) != sk_c11 )
      | ( multiply(X4_13,sk_c11) != sk_c9 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(X3_8,sk_c11) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_651980]) ).

tff(c_653181,plain,
    ! [X3_1662] :
      ( ( inverse(X3_1662) != sk_c11 )
      | ( multiply(X3_1662,sk_c11) != sk_c10 ) ),
    inference(splitLeft,[status(thm)],[c_652930]) ).

tff(c_653198,plain,
    inverse(sk_c3) != sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_651270,c_653181]) ).

tff(c_653212,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_651230,c_653198]) ).

tff(c_653213,plain,
    ! [X4_13,X1_10,X2_11] :
      ( ( inverse(X4_13) != sk_c11 )
      | ( multiply(X4_13,sk_c11) != sk_c9 )
      | ( inverse(X1_10) != sk_c11 )
      | ( multiply(X1_10,sk_c11) != sk_c10 )
      | ( inverse(X2_11) != sk_c10 )
      | ( multiply(X2_11,sk_c10) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_652930]) ).

tff(c_653455,plain,
    ! [X2_1666] :
      ( ( inverse(X2_1666) != sk_c10 )
      | ( multiply(X2_1666,sk_c10) != sk_c9 ) ),
    inference(splitLeft,[status(thm)],[c_653213]) ).

tff(c_653471,plain,
    inverse(sk_c4) != sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_651252,c_653455]) ).

tff(c_653485,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_651202,c_653471]) ).

tff(c_653486,plain,
    ! [X1_10,X4_13] :
      ( ( inverse(X1_10) != sk_c11 )
      | ( multiply(X1_10,sk_c11) != sk_c10 )
      | ( inverse(X4_13) != sk_c11 )
      | ( multiply(X4_13,sk_c11) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_653213]) ).

tff(c_653586,plain,
    ! [X4_13] :
      ( ( inverse(X4_13) != sk_c11 )
      | ( multiply(X4_13,sk_c11) != sk_c9 ) ),
    inference(splitLeft,[status(thm)],[c_653486]) ).

tff(c_653649,plain,
    ! [X4_1668] :
      ( ( inverse(X4_1668) != identity )
      | ( multiply(X4_1668,identity) != sk_c9 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_653587,c_653587,c_653586]) ).

tff(c_653663,plain,
    ( ( inverse(inverse(identity)) != identity )
    | ( sk_c9 != identity ) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_653649]) ).

tff(c_653671,plain,
    sk_c9 != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_653624,c_653624,c_653663]) ).

tff(c_652991,plain,
    ! [Z_1659] : ( multiply(sk_c10,multiply(sk_c4,Z_1659)) = Z_1659 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651347]) ).

tff(c_653009,plain,
    multiply(sk_c10,sk_c9) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_651252,c_652991]) ).

tff(c_651335,plain,
    ! [Z_1629] : ( multiply(sk_c4,multiply(sk_c10,Z_1629)) = multiply(sk_c9,Z_1629) ),
    inference(superposition,[status(thm),theory(equality)],[c_651252,c_651311]) ).

tff(c_653016,plain,
    multiply(sk_c9,sk_c9) = multiply(sk_c4,sk_c10),
    inference(superposition,[status(thm),theory(equality)],[c_653009,c_651335]) ).

tff(c_653022,plain,
    multiply(sk_c9,sk_c9) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_651252,c_653016]) ).

tff(c_653758,plain,
    ! [X_1670,Z_1671] : ( multiply(inverse(X_1670),multiply(X_1670,Z_1671)) = Z_1671 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_651356]) ).

tff(c_653812,plain,
    multiply(inverse(sk_c9),sk_c9) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_653022,c_653758]) ).

tff(c_653842,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_653812]) ).

tff(c_653844,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_653671,c_653842]) ).

tff(c_653845,plain,
    ! [X1_10] :
      ( ( inverse(X1_10) != sk_c11 )
      | ( multiply(X1_10,sk_c11) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_653486]) ).

tff(c_653908,plain,
    ! [X1_1672] :
      ( ( inverse(X1_1672) != identity )
      | ( multiply(X1_1672,identity) != sk_c10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_653846,c_653846,c_653845]) ).

tff(c_653922,plain,
    ( ( inverse(inverse(identity)) != identity )
    | ( sk_c10 != identity ) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_653908]) ).

tff(c_653931,plain,
    sk_c10 != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_653883,c_653883,c_653922]) ).

tff(c_653852,plain,
    multiply(sk_c3,identity) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_653846,c_651270]) ).

tff(c_653980,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_653874,c_653852]) ).

tff(c_653981,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_653931,c_653980]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : GRP269-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15  % 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
% 0.19/0.36  % Computer : n005.cluster.edu
% 0.19/0.36  % Model    : x86_64 x86_64
% 0.19/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36  % Memory   : 8042.1875MB
% 0.19/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36  % CPULimit : 300
% 0.19/0.36  % WCLimit  : 300
% 0.19/0.36  % DateTime : Thu Aug  3 22:00:42 EDT 2023
% 0.19/0.37  % CPUTime  : 
% 201.46/169.63  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 201.77/169.71  
% 201.77/169.71  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 201.77/169.79  
% 201.77/169.79  Inference rules
% 201.77/169.79  ----------------------
% 201.77/169.79  #Ref     : 0
% 201.77/169.79  #Sup     : 154173
% 201.77/169.79  #Fact    : 0
% 201.77/169.79  #Define  : 0
% 201.77/169.79  #Split   : 34
% 201.77/169.79  #Chain   : 0
% 201.77/169.79  #Close   : 0
% 201.77/169.79  
% 201.77/169.79  Ordering : KBO
% 201.77/169.79  
% 201.77/169.79  Simplification rules
% 201.77/169.79  ----------------------
% 201.77/169.79  #Subsume      : 6
% 201.77/169.79  #Demod        : 991696
% 201.77/169.79  #Tautology    : 128589
% 201.77/169.79  #SimpNegUnit  : 95
% 201.77/169.79  #BackRed      : 767
% 201.77/169.79  
% 201.77/169.79  #Partial instantiations: 0
% 201.77/169.79  #Strategies tried      : 1
% 201.77/169.79  
% 201.77/169.79  Timing (in seconds)
% 201.77/169.79  ----------------------
% 201.77/169.80  Preprocessing        : 0.60
% 201.77/169.80  Parsing              : 0.22
% 201.77/169.80  CNF conversion       : 0.03
% 201.77/169.80  Main loop            : 167.94
% 201.77/169.80  Inferencing          : 19.68
% 201.77/169.80  Reduction            : 134.55
% 201.77/169.80  Demodulation         : 131.94
% 201.77/169.80  BG Simplification    : 1.17
% 201.77/169.80  Subsumption          : 8.74
% 201.77/169.80  Abstraction          : 6.28
% 201.77/169.80  MUC search           : 0.00
% 201.77/169.80  Cooper               : 0.00
% 201.77/169.80  Total                : 168.72
% 201.77/169.80  Index Insertion      : 0.00
% 201.77/169.80  Index Deletion       : 0.00
% 201.77/169.80  Index Matching       : 0.00
% 201.77/169.80  BG Taut test         : 0.00
%------------------------------------------------------------------------------