TSTP Solution File: GRP238-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP238-1 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n019.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 10:40:36 EDT 2023

% Result   : Unsatisfiable 111.79s 93.00s
% Output   : CNFRefutation 112.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   52
% Syntax   : Number of formulae    :  726 ( 572 unt;  14 typ;   0 def)
%            Number of atoms       : 1053 (1014 equ)
%            Maximal formula atoms :   16 (   1 avg)
%            Number of connectives :  739 ( 398   ~; 341   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   2 avg)
%            Maximal term depth    :    4 (   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   :  417 (; 417   !;   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_57,axiom,
    ! [X] : ( multiply(inverse(X),X) = identity ),
    file(unknown,unknown) ).

tff(f_53,axiom,
    ! [X] : ( multiply(identity,X) = X ),
    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_104,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( inverse(sk_c6) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_74,axiom,
    ( ( inverse(sk_c11) = sk_c10 )
    | ( inverse(sk_c6) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_143,axiom,
    ( ( multiply(sk_c1,sk_c10) = sk_c11 )
    | ( inverse(sk_c7) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_173,axiom,
    ( ( multiply(sk_c11,sk_c3) = sk_c10 )
    | ( inverse(sk_c7) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_233,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( inverse(sk_c7) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_203,axiom,
    ( ( multiply(sk_c2,sk_c11) = sk_c3 )
    | ( inverse(sk_c7) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_290,axiom,
    ! [X5,X6,X3,X9,X7,X1,X2,X8,X4] :
      ( ( inverse(sk_c11) != sk_c10 )
      | ( inverse(X4) != sk_c11 )
      | ( multiply(X4,sk_c10) != sk_c11 )
      | ( multiply(sk_c11,X5) != sk_c10 )
      | ( multiply(X6,sk_c11) != X5 )
      | ( inverse(X6) != sk_c11 )
      | ( multiply(X2,X1) != sk_c11 )
      | ( inverse(X2) != X1 )
      | ( multiply(X1,sk_c10) != sk_c11 )
      | ( inverse(X3) != sk_c11 )
      | ( multiply(X3,sk_c10) != sk_c11 )
      | ( multiply(X7,X8) != sk_c10 )
      | ( inverse(X7) != X8 )
      | ( multiply(X8,sk_c11) != sk_c10 )
      | ( inverse(X9) != sk_c10 )
      | ( multiply(X9,sk_c11) != sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_188,axiom,
    ( ( multiply(sk_c2,sk_c11) = sk_c3 )
    | ( inverse(sk_c4) = sk_c5 ) ),
    file(unknown,unknown) ).

tff(f_185,axiom,
    ( ( multiply(sk_c2,sk_c11) = sk_c3 )
    | ( multiply(sk_c4,sk_c5) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_134,axiom,
    ( ( multiply(sk_c1,sk_c10) = sk_c11 )
    | ( inverse(sk_c6) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_137,axiom,
    ( ( multiply(sk_c1,sk_c10) = sk_c11 )
    | ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_197,axiom,
    ( ( multiply(sk_c2,sk_c11) = sk_c3 )
    | ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_158,axiom,
    ( ( multiply(sk_c11,sk_c3) = sk_c10 )
    | ( inverse(sk_c4) = sk_c5 ) ),
    file(unknown,unknown) ).

tff(f_194,axiom,
    ( ( multiply(sk_c2,sk_c11) = sk_c3 )
    | ( inverse(sk_c6) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_170,axiom,
    ( ( multiply(sk_c11,sk_c3) = sk_c10 )
    | ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_140,axiom,
    ( ( multiply(sk_c1,sk_c10) = sk_c11 )
    | ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_167,axiom,
    ( ( multiply(sk_c11,sk_c3) = sk_c10 )
    | ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_95,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( multiply(sk_c4,sk_c5) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_107,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_98,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( inverse(sk_c4) = sk_c5 ) ),
    file(unknown,unknown) ).

tff(f_101,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( multiply(sk_c5,sk_c10) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_119,axiom,
    ( ( inverse(sk_c1) = sk_c11 )
    | ( inverse(sk_c9) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_65,axiom,
    ( ( inverse(sk_c11) = sk_c10 )
    | ( multiply(sk_c4,sk_c5) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_68,axiom,
    ( ( inverse(sk_c11) = sk_c10 )
    | ( inverse(sk_c4) = sk_c5 ) ),
    file(unknown,unknown) ).

tff(f_80,axiom,
    ( ( inverse(sk_c11) = sk_c10 )
    | ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_83,axiom,
    ( ( inverse(sk_c11) = sk_c10 )
    | ( inverse(sk_c7) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_215,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( multiply(sk_c4,sk_c5) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_230,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_227,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_224,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( inverse(sk_c6) = sk_c11 ) ),
    file(unknown,unknown) ).

tff(f_218,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( inverse(sk_c4) = sk_c5 ) ),
    file(unknown,unknown) ).

tff(f_242,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( multiply(sk_c9,sk_c11) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_239,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( inverse(sk_c9) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_236,axiom,
    ( ( inverse(sk_c2) = sk_c11 )
    | ( multiply(sk_c8,sk_c11) = sk_c10 ) ),
    file(unknown,unknown) ).

tff(f_89,axiom,
    ( ( inverse(sk_c11) = sk_c10 )
    | ( inverse(sk_c9) = sk_c10 ) ),
    file(unknown,unknown) ).

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

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

tff(c_265698,plain,
    ! [X_942,Y_943,Z_944] : ( multiply(multiply(X_942,Y_943),Z_944) = multiply(X_942,multiply(Y_943,Z_944)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_265749,plain,
    ! [X_2,Z_944] : ( multiply(inverse(X_2),multiply(X_2,Z_944)) = multiply(identity,Z_944) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_265698]) ).

tff(c_265763,plain,
    ! [X_2,Z_944] : ( multiply(inverse(X_2),multiply(X_2,Z_944)) = Z_944 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_265749]) ).

tff(c_268523,plain,
    ! [X_997,Z_998] : ( multiply(inverse(X_997),multiply(X_997,Z_998)) = Z_998 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_265749]) ).

tff(c_268773,plain,
    ! [X_1001,Z_1002] : ( multiply(inverse(inverse(X_1001)),Z_1002) = multiply(X_1001,Z_1002) ),
    inference(superposition,[status(thm),theory(equality)],[c_265763,c_268523]) ).

tff(c_268811,plain,
    ! [X_1001] : ( multiply(X_1001,inverse(X_1001)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_268773]) ).

tff(c_29694,plain,
    ! [X_283,Y_284,Z_285] : ( multiply(multiply(X_283,Y_284),Z_285) = multiply(X_283,multiply(Y_284,Z_285)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_29751,plain,
    ! [X_2,Z_285] : ( multiply(inverse(X_2),multiply(X_2,Z_285)) = multiply(identity,Z_285) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_29694]) ).

tff(c_32185,plain,
    ! [X_327,Z_328] : ( multiply(inverse(X_327),multiply(X_327,Z_328)) = Z_328 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_29751]) ).

tff(c_29766,plain,
    ! [X_2,Z_285] : ( multiply(inverse(X_2),multiply(X_2,Z_285)) = Z_285 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_29751]) ).

tff(c_32556,plain,
    ! [X_332,Z_333] : ( multiply(inverse(inverse(X_332)),Z_333) = multiply(X_332,Z_333) ),
    inference(superposition,[status(thm),theory(equality)],[c_32185,c_29766]) ).

tff(c_32577,plain,
    ! [X_332] : ( multiply(X_332,inverse(X_332)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_32556,c_4]) ).

tff(c_34,plain,
    ( ( inverse(sk_c6) = sk_c11 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_104]) ).

tff(c_170,plain,
    inverse(sk_c1) = sk_c11,
    inference(splitLeft,[status(thm)],[c_34]) ).

tff(c_174,plain,
    multiply(sk_c11,sk_c1) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_170,c_4]) ).

tff(c_14,plain,
    ( ( inverse(sk_c6) = sk_c11 )
    | ( inverse(sk_c11) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_157,plain,
    inverse(sk_c11) = sk_c10,
    inference(splitLeft,[status(thm)],[c_14]) ).

tff(c_161,plain,
    multiply(sk_c10,sk_c11) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_157,c_4]) ).

tff(c_26448,plain,
    ! [X_227,Y_228,Z_229] : ( multiply(multiply(X_227,Y_228),Z_229) = multiply(X_227,multiply(Y_228,Z_229)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_26502,plain,
    ! [Z_229] : ( multiply(sk_c10,multiply(sk_c11,Z_229)) = multiply(identity,Z_229) ),
    inference(superposition,[status(thm),theory(equality)],[c_161,c_26448]) ).

tff(c_26663,plain,
    ! [Z_235] : ( multiply(sk_c10,multiply(sk_c11,Z_235)) = Z_235 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_26502]) ).

tff(c_26690,plain,
    multiply(sk_c10,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_174,c_26663]) ).

tff(c_60,plain,
    ( ( inverse(sk_c7) = sk_c8 )
    | ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_143]) ).

tff(c_199,plain,
    multiply(sk_c1,sk_c10) = sk_c11,
    inference(splitLeft,[status(thm)],[c_60]) ).

tff(c_26499,plain,
    ! [Z_229] : ( multiply(sk_c11,multiply(sk_c1,Z_229)) = multiply(identity,Z_229) ),
    inference(superposition,[status(thm),theory(equality)],[c_174,c_26448]) ).

tff(c_26525,plain,
    ! [Z_230] : ( multiply(sk_c11,multiply(sk_c1,Z_230)) = Z_230 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_26499]) ).

tff(c_26537,plain,
    multiply(sk_c11,sk_c11) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_199,c_26525]) ).

tff(c_26952,plain,
    ! [Z_239] : ( multiply(sk_c1,multiply(sk_c10,Z_239)) = multiply(sk_c11,Z_239) ),
    inference(superposition,[status(thm),theory(equality)],[c_199,c_26448]) ).

tff(c_26979,plain,
    multiply(sk_c11,sk_c11) = multiply(sk_c1,identity),
    inference(superposition,[status(thm),theory(equality)],[c_161,c_26952]) ).

tff(c_26983,plain,
    multiply(sk_c1,identity) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_26537,c_26979]) ).

tff(c_26520,plain,
    ! [Z_229] : ( multiply(sk_c11,multiply(sk_c1,Z_229)) = Z_229 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_26499]) ).

tff(c_26987,plain,
    multiply(sk_c11,sk_c10) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_26983,c_26520]) ).

tff(c_26521,plain,
    ! [Z_229] : ( multiply(sk_c10,multiply(sk_c11,Z_229)) = Z_229 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_26502]) ).

tff(c_26998,plain,
    multiply(sk_c10,identity) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_26987,c_26521]) ).

tff(c_27004,plain,
    sk_c10 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_26690,c_26998]) ).

tff(c_27022,plain,
    inverse(sk_c11) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_27004,c_157]) ).

tff(c_27031,plain,
    multiply(sk_c1,sk_c11) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_27022,c_4]) ).

tff(c_26678,plain,
    multiply(sk_c10,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_26537,c_26663]) ).

tff(c_80,plain,
    ( ( inverse(sk_c7) = sk_c8 )
    | ( multiply(sk_c11,sk_c3) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_173]) ).

tff(c_193,plain,
    multiply(sk_c11,sk_c3) = sk_c10,
    inference(splitLeft,[status(thm)],[c_80]) ).

tff(c_26687,plain,
    multiply(sk_c10,sk_c10) = sk_c3,
    inference(superposition,[status(thm),theory(equality)],[c_193,c_26663]) ).

tff(c_26936,plain,
    sk_c3 = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_26678,c_26687]) ).

tff(c_120,plain,
    ( ( inverse(sk_c7) = sk_c8 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_233]) ).

tff(c_145,plain,
    inverse(sk_c2) = sk_c11,
    inference(splitLeft,[status(thm)],[c_120]) ).

tff(c_149,plain,
    multiply(sk_c11,sk_c2) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_145,c_4]) ).

tff(c_26693,plain,
    multiply(sk_c10,identity) = sk_c2,
    inference(superposition,[status(thm),theory(equality)],[c_149,c_26663]) ).

tff(c_26728,plain,
    sk_c2 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_26690,c_26693]) ).

tff(c_250,plain,
    ! [X_17,Y_18,Z_19] : ( multiply(multiply(X_17,Y_18),Z_19) = multiply(X_17,multiply(Y_18,Z_19)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_283,plain,
    ! [X_2,Z_19] : ( multiply(inverse(X_2),multiply(X_2,Z_19)) = multiply(identity,Z_19) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_250]) ).

tff(c_1902,plain,
    ! [X_52,Z_53] : ( multiply(inverse(X_52),multiply(X_52,Z_53)) = Z_53 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_283]) ).

tff(c_294,plain,
    ! [X_2,Z_19] : ( multiply(inverse(X_2),multiply(X_2,Z_19)) = Z_19 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_283]) ).

tff(c_1979,plain,
    ! [X_55,Z_56] : ( multiply(inverse(inverse(X_55)),Z_56) = multiply(X_55,Z_56) ),
    inference(superposition,[status(thm),theory(equality)],[c_1902,c_294]) ).

tff(c_2017,plain,
    ! [X_55] : ( multiply(X_55,inverse(X_55)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_1979]) ).

tff(c_277,plain,
    ! [Z_19] : ( multiply(sk_c10,multiply(sk_c11,Z_19)) = multiply(identity,Z_19) ),
    inference(superposition,[status(thm),theory(equality)],[c_161,c_250]) ).

tff(c_319,plain,
    ! [Z_21] : ( multiply(sk_c10,multiply(sk_c11,Z_21)) = Z_21 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_277]) ).

tff(c_340,plain,
    multiply(sk_c10,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_174,c_319]) ).

tff(c_343,plain,
    multiply(sk_c10,identity) = sk_c2,
    inference(superposition,[status(thm),theory(equality)],[c_149,c_319]) ).

tff(c_510,plain,
    sk_c2 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_340,c_343]) ).

tff(c_100,plain,
    ( ( inverse(sk_c7) = sk_c8 )
    | ( multiply(sk_c2,sk_c11) = sk_c3 ) ),
    inference(cnfTransformation,[status(thm)],[f_203]) ).

tff(c_205,plain,
    multiply(sk_c2,sk_c11) = sk_c3,
    inference(splitLeft,[status(thm)],[c_100]) ).

tff(c_628,plain,
    multiply(sk_c1,sk_c11) = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_510,c_205]) ).

tff(c_274,plain,
    ! [Z_19] : ( multiply(sk_c11,multiply(sk_c1,Z_19)) = multiply(identity,Z_19) ),
    inference(superposition,[status(thm),theory(equality)],[c_174,c_250]) ).

tff(c_291,plain,
    ! [Z_19] : ( multiply(sk_c11,multiply(sk_c1,Z_19)) = Z_19 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_274]) ).

tff(c_640,plain,
    multiply(sk_c11,sk_c3) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_628,c_291]) ).

tff(c_646,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_193,c_640]) ).

tff(c_657,plain,
    inverse(sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_646,c_157]) ).

tff(c_685,plain,
    multiply(sk_c10,sk_c10) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_657,c_4]) ).

tff(c_296,plain,
    ! [Z_20] : ( multiply(sk_c11,multiply(sk_c1,Z_20)) = Z_20 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_274]) ).

tff(c_308,plain,
    multiply(sk_c11,sk_c11) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_199,c_296]) ).

tff(c_331,plain,
    multiply(sk_c10,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_308,c_319]) ).

tff(c_696,plain,
    multiply(sk_c10,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_646,c_331]) ).

tff(c_1863,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_685,c_696]) ).

tff(c_1923,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_1902]) ).

tff(c_1986,plain,
    ! [X_55] : ( multiply(X_55,identity) = X_55 ),
    inference(superposition,[status(thm),theory(equality)],[c_1979,c_1923]) ).

tff(c_773,plain,
    ! [X_27,Z_28] : ( multiply(inverse(X_27),multiply(X_27,Z_28)) = Z_28 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_283]) ).

tff(c_850,plain,
    ! [X_30,Z_31] : ( multiply(inverse(inverse(X_30)),Z_31) = multiply(X_30,Z_31) ),
    inference(superposition,[status(thm),theory(equality)],[c_773,c_294]) ).

tff(c_794,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_773]) ).

tff(c_857,plain,
    ! [X_30] : ( multiply(X_30,identity) = X_30 ),
    inference(superposition,[status(thm),theory(equality)],[c_850,c_794]) ).

tff(c_656,plain,
    multiply(sk_c10,sk_c10) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_646,c_161]) ).

tff(c_732,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_696]) ).

tff(c_520,plain,
    multiply(sk_c1,sk_c11) = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_510,c_205]) ).

tff(c_532,plain,
    multiply(sk_c11,sk_c3) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_520,c_291]) ).

tff(c_538,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_193,c_532]) ).

tff(c_549,plain,
    inverse(sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_157]) ).

tff(c_588,plain,
    multiply(sk_c10,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_331]) ).

tff(c_365,plain,
    sk_c2 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_340,c_343]) ).

tff(c_403,plain,
    multiply(sk_c1,sk_c11) = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_365,c_205]) ).

tff(c_415,plain,
    multiply(sk_c11,sk_c3) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_403,c_291]) ).

tff(c_421,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_193,c_415]) ).

tff(c_432,plain,
    inverse(sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_421,c_157]) ).

tff(c_128,plain,
    ! [X2_12,X7_10,X3_8,X9_9,X4_14,X6_7] :
      ( ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 )
      | ( multiply(X4_14,sk_c10) != sk_c11 )
      | ( inverse(X4_14) != sk_c11 )
      | ( inverse(sk_c11) != sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_290]) ).

tff(c_348,plain,
    ! [X2_12,X7_10,X3_8,X9_9,X4_14,X6_7] :
      ( ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 )
      | ( multiply(X4_14,sk_c10) != sk_c11 )
      | ( inverse(X4_14) != sk_c11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_157,c_128]) ).

tff(c_349,plain,
    ! [X4_14] :
      ( ( multiply(X4_14,sk_c10) != sk_c11 )
      | ( inverse(X4_14) != sk_c11 ) ),
    inference(splitLeft,[status(thm)],[c_348]) ).

tff(c_452,plain,
    ! [X4_23] :
      ( ( multiply(X4_23,sk_c10) != sk_c10 )
      | ( inverse(X4_23) != sk_c10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_421,c_421,c_349]) ).

tff(c_463,plain,
    ( ( sk_c10 != identity )
    | ( inverse(inverse(sk_c10)) != sk_c10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_452]) ).

tff(c_471,plain,
    sk_c10 != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_432,c_432,c_463]) ).

tff(c_447,plain,
    multiply(sk_c10,sk_c10) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_432,c_4]) ).

tff(c_492,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_447,c_421,c_331]) ).

tff(c_493,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_471,c_492]) ).

tff(c_494,plain,
    ! [X2_12,X7_10,X3_8,X9_9,X6_7] :
      ( ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_348]) ).

tff(c_519,plain,
    ! [X9_9] :
      ( ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 ) ),
    inference(splitLeft,[status(thm)],[c_494]) ).

tff(c_607,plain,
    ! [X9_25] :
      ( ( multiply(X9_25,sk_c10) != sk_c10 )
      | ( inverse(X9_25) != sk_c10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_519]) ).

tff(c_610,plain,
    inverse(sk_c10) != sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_588,c_607]) ).

tff(c_626,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_549,c_610]) ).

tff(c_627,plain,
    ! [X7_10,X3_8,X2_12,X6_7] :
      ( ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_494]) ).

tff(c_714,plain,
    ! [X7_10,X3_8,X2_12,X6_7] :
      ( ( multiply(inverse(X7_10),sk_c10) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c10 )
      | ( inverse(X3_8) != sk_c10 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c10 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c10 )
      | ( inverse(X6_7) != sk_c10 )
      | ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_646,c_646,c_646,c_646,c_646,c_646,c_646,c_646,c_627]) ).

tff(c_715,plain,
    ! [X6_7] :
      ( ( inverse(X6_7) != sk_c10 )
      | ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c10 ) ),
    inference(splitLeft,[status(thm)],[c_714]) ).

tff(c_1851,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_857,c_732,c_732,c_2,c_732,c_732,c_715]) ).

tff(c_747,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_732,c_732,c_657]) ).

tff(c_1853,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1851,c_747]) ).

tff(c_1854,plain,
    ! [X2_12,X3_8,X7_10] :
      ( ( multiply(inverse(X2_12),sk_c10) != sk_c10 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c10 )
      | ( inverse(X3_8) != sk_c10 )
      | ( multiply(inverse(X7_10),sk_c10) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_714]) ).

tff(c_25051,plain,
    ! [X2_12,X3_8,X7_10] :
      ( ( inverse(X2_12) != identity )
      | ( identity != X3_8 )
      | ( inverse(X3_8) != identity )
      | ( inverse(X7_10) != identity ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2017,c_1863,c_1986,c_1863,c_1863,c_1863,c_1986,c_1863,c_1863,c_2017,c_1863,c_1986,c_1863,c_1863,c_1854]) ).

tff(c_25052,plain,
    ! [X7_10] : ( inverse(X7_10) != identity ),
    inference(splitLeft,[status(thm)],[c_25051]) ).

tff(c_1876,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_1863,c_1863,c_657]) ).

tff(c_25054,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_25052,c_1876]) ).

tff(c_25055,plain,
    ! [X2_12,X3_8] :
      ( ( inverse(X2_12) != identity )
      | ( identity != X3_8 )
      | ( inverse(X3_8) != identity ) ),
    inference(splitRight,[status(thm)],[c_25051]) ).

tff(c_25057,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_25055]) ).

tff(c_25059,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_25057,c_1876]) ).

tff(c_25060,plain,
    ! [X2_12] : ( inverse(X2_12) != identity ),
    inference(splitRight,[status(thm)],[c_25055]) ).

tff(c_26337,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_25060,c_1876]) ).

tff(c_26339,plain,
    multiply(sk_c2,sk_c11) != sk_c3,
    inference(splitRight,[status(thm)],[c_100]) ).

tff(c_26738,plain,
    multiply(sk_c1,sk_c11) != sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_26728,c_26339]) ).

tff(c_26944,plain,
    multiply(sk_c1,sk_c11) != sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_26936,c_26738]) ).

tff(c_27075,plain,
    sk_c11 != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_27031,c_26944]) ).

tff(c_90,plain,
    ( ( inverse(sk_c4) = sk_c5 )
    | ( multiply(sk_c2,sk_c11) = sk_c3 ) ),
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_26358,plain,
    inverse(sk_c4) = sk_c5,
    inference(negUnitSimplification,[status(thm)],[c_26339,c_90]) ).

tff(c_88,plain,
    ( ( multiply(sk_c4,sk_c5) = sk_c11 )
    | ( multiply(sk_c2,sk_c11) = sk_c3 ) ),
    inference(cnfTransformation,[status(thm)],[f_185]) ).

tff(c_26427,plain,
    multiply(sk_c4,sk_c5) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_26339,c_88]) ).

tff(c_26508,plain,
    ! [X_2,Z_229] : ( multiply(inverse(X_2),multiply(X_2,Z_229)) = multiply(identity,Z_229) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_26448]) ).

tff(c_27117,plain,
    ! [X_241,Z_242] : ( multiply(inverse(X_241),multiply(X_241,Z_242)) = Z_242 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_26508]) ).

tff(c_27159,plain,
    multiply(inverse(sk_c4),sk_c11) = sk_c5,
    inference(superposition,[status(thm),theory(equality)],[c_26427,c_27117]) ).

tff(c_27192,plain,
    multiply(sk_c5,sk_c11) = sk_c5,
    inference(demodulation,[status(thm),theory(equality)],[c_26358,c_27159]) ).

tff(c_26523,plain,
    ! [X_2,Z_229] : ( multiply(inverse(X_2),multiply(X_2,Z_229)) = Z_229 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_26508]) ).

tff(c_27198,plain,
    multiply(inverse(sk_c5),sk_c5) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_27192,c_26523]) ).

tff(c_27207,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_27198]) ).

tff(c_27209,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_27075,c_27207]) ).

tff(c_27211,plain,
    multiply(sk_c1,sk_c10) != sk_c11,
    inference(splitRight,[status(thm)],[c_60]) ).

tff(c_28190,plain,
    ! [X_256,Y_257,Z_258] : ( multiply(multiply(X_256,Y_257),Z_258) = multiply(X_256,multiply(Y_257,Z_258)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_28241,plain,
    ! [Z_258] : ( multiply(sk_c10,multiply(sk_c11,Z_258)) = multiply(identity,Z_258) ),
    inference(superposition,[status(thm),theory(equality)],[c_161,c_28190]) ).

tff(c_28277,plain,
    ! [Z_260] : ( multiply(sk_c10,multiply(sk_c11,Z_260)) = Z_260 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28241]) ).

tff(c_28298,plain,
    multiply(sk_c10,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_174,c_28277]) ).

tff(c_54,plain,
    ( ( inverse(sk_c6) = sk_c11 )
    | ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_134]) ).

tff(c_27225,plain,
    inverse(sk_c6) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_27211,c_54]) ).

tff(c_27229,plain,
    multiply(sk_c11,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_27225,c_4]) ).

tff(c_28292,plain,
    multiply(sk_c10,identity) = sk_c6,
    inference(superposition,[status(thm),theory(equality)],[c_27229,c_28277]) ).

tff(c_28333,plain,
    sk_c6 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_28298,c_28292]) ).

tff(c_27253,plain,
    multiply(sk_c2,sk_c11) = sk_c3,
    inference(splitLeft,[status(thm)],[c_90]) ).

tff(c_27326,plain,
    ! [X_243,Y_244,Z_245] : ( multiply(multiply(X_243,Y_244),Z_245) = multiply(X_243,multiply(Y_244,Z_245)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_27383,plain,
    ! [Z_245] : ( multiply(sk_c11,multiply(sk_c2,Z_245)) = multiply(identity,Z_245) ),
    inference(superposition,[status(thm),theory(equality)],[c_149,c_27326]) ).

tff(c_27416,plain,
    ! [Z_247] : ( multiply(sk_c11,multiply(sk_c2,Z_247)) = Z_247 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_27383]) ).

tff(c_27428,plain,
    multiply(sk_c11,sk_c3) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_27253,c_27416]) ).

tff(c_27432,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_193,c_27428]) ).

tff(c_27672,plain,
    multiply(sk_c10,sk_c10) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_27432,c_161]) ).

tff(c_27667,plain,
    inverse(sk_c6) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_27432,c_27225]) ).

tff(c_56,plain,
    ( ( multiply(sk_c6,sk_c10) = sk_c11 )
    | ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_27299,plain,
    multiply(sk_c6,sk_c10) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_27211,c_56]) ).

tff(c_27662,plain,
    multiply(sk_c6,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_27432,c_27299]) ).

tff(c_27386,plain,
    ! [X_2,Z_245] : ( multiply(inverse(X_2),multiply(X_2,Z_245)) = multiply(identity,Z_245) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_27326]) ).

tff(c_27786,plain,
    ! [X_252,Z_253] : ( multiply(inverse(X_252),multiply(X_252,Z_253)) = Z_253 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_27386]) ).

tff(c_27804,plain,
    multiply(inverse(sk_c6),sk_c10) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_27662,c_27786]) ).

tff(c_27874,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_27672,c_27667,c_27804]) ).

tff(c_27671,plain,
    inverse(sk_c1) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_27432,c_170]) ).

tff(c_27704,plain,
    multiply(sk_c10,sk_c1) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_27671,c_4]) ).

tff(c_27916,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_27874,c_27704]) ).

tff(c_27668,plain,
    multiply(sk_c1,sk_c10) != sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_27432,c_27211]) ).

tff(c_27895,plain,
    multiply(sk_c1,identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_27874,c_27874,c_27668]) ).

tff(c_28110,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_27916,c_27895]) ).

tff(c_28112,plain,
    multiply(sk_c2,sk_c11) != sk_c3,
    inference(splitRight,[status(thm)],[c_90]) ).

tff(c_96,plain,
    ( ( multiply(sk_c6,sk_c10) = sk_c11 )
    | ( multiply(sk_c2,sk_c11) = sk_c3 ) ),
    inference(cnfTransformation,[status(thm)],[f_197]) ).

tff(c_28178,plain,
    multiply(sk_c6,sk_c10) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_28112,c_96]) ).

tff(c_28334,plain,
    multiply(sk_c1,sk_c10) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_28333,c_28178]) ).

tff(c_28338,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_27211,c_28334]) ).

tff(c_28340,plain,
    multiply(sk_c11,sk_c3) != sk_c10,
    inference(splitRight,[status(thm)],[c_80]) ).

tff(c_70,plain,
    ( ( inverse(sk_c4) = sk_c5 )
    | ( multiply(sk_c11,sk_c3) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_158]) ).

tff(c_29610,plain,
    inverse(sk_c4) = sk_c5,
    inference(negUnitSimplification,[status(thm)],[c_28340,c_70]) ).

tff(c_28461,plain,
    ! [X_261,Y_262,Z_263] : ( multiply(multiply(X_261,Y_262),Z_263) = multiply(X_261,multiply(Y_262,Z_263)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_28515,plain,
    ! [Z_263] : ( multiply(sk_c10,multiply(sk_c11,Z_263)) = multiply(identity,Z_263) ),
    inference(superposition,[status(thm),theory(equality)],[c_161,c_28461]) ).

tff(c_28748,plain,
    ! [Z_269] : ( multiply(sk_c10,multiply(sk_c11,Z_269)) = Z_269 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28515]) ).

tff(c_28775,plain,
    multiply(sk_c10,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_174,c_28748]) ).

tff(c_28778,plain,
    multiply(sk_c10,identity) = sk_c2,
    inference(superposition,[status(thm),theory(equality)],[c_149,c_28748]) ).

tff(c_28834,plain,
    sk_c2 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_28775,c_28778]) ).

tff(c_94,plain,
    ( ( inverse(sk_c6) = sk_c11 )
    | ( multiply(sk_c2,sk_c11) = sk_c3 ) ),
    inference(cnfTransformation,[status(thm)],[f_194]) ).

tff(c_28369,plain,
    multiply(sk_c2,sk_c11) = sk_c3,
    inference(splitLeft,[status(thm)],[c_94]) ).

tff(c_28518,plain,
    ! [Z_263] : ( multiply(sk_c11,multiply(sk_c2,Z_263)) = multiply(identity,Z_263) ),
    inference(superposition,[status(thm),theory(equality)],[c_149,c_28461]) ).

tff(c_28561,plain,
    ! [Z_265] : ( multiply(sk_c11,multiply(sk_c2,Z_265)) = Z_265 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28518]) ).

tff(c_28573,plain,
    multiply(sk_c11,sk_c3) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_28369,c_28561]) ).

tff(c_28760,plain,
    multiply(sk_c10,sk_c11) = sk_c3,
    inference(superposition,[status(thm),theory(equality)],[c_28573,c_28748]) ).

tff(c_28782,plain,
    sk_c3 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_161,c_28760]) ).

tff(c_28503,plain,
    ! [Z_263] : ( multiply(sk_c2,multiply(sk_c11,Z_263)) = multiply(sk_c3,Z_263) ),
    inference(superposition,[status(thm),theory(equality)],[c_28369,c_28461]) ).

tff(c_28798,plain,
    ! [Z_270] : ( multiply(sk_c2,multiply(sk_c11,Z_270)) = Z_270 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28782,c_28503]) ).

tff(c_28828,plain,
    multiply(sk_c2,identity) = sk_c2,
    inference(superposition,[status(thm),theory(equality)],[c_149,c_28798]) ).

tff(c_29041,plain,
    multiply(sk_c1,identity) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_28834,c_28834,c_28828]) ).

tff(c_28393,plain,
    multiply(sk_c1,sk_c10) = sk_c11,
    inference(splitLeft,[status(thm)],[c_54]) ).

tff(c_28512,plain,
    ! [Z_263] : ( multiply(sk_c11,multiply(sk_c1,Z_263)) = multiply(identity,Z_263) ),
    inference(superposition,[status(thm),theory(equality)],[c_174,c_28461]) ).

tff(c_28538,plain,
    ! [Z_264] : ( multiply(sk_c11,multiply(sk_c1,Z_264)) = Z_264 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28512]) ).

tff(c_28550,plain,
    multiply(sk_c11,sk_c11) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_28393,c_28538]) ).

tff(c_29075,plain,
    ! [Z_274] : ( multiply(sk_c1,multiply(sk_c10,Z_274)) = multiply(sk_c11,Z_274) ),
    inference(superposition,[status(thm),theory(equality)],[c_28393,c_28461]) ).

tff(c_29102,plain,
    multiply(sk_c11,sk_c11) = multiply(sk_c1,identity),
    inference(superposition,[status(thm),theory(equality)],[c_161,c_29075]) ).

tff(c_29109,plain,
    sk_c10 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_29041,c_28550,c_29102]) ).

tff(c_78,plain,
    ( ( multiply(sk_c7,sk_c8) = sk_c10 )
    | ( multiply(sk_c11,sk_c3) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_170]) ).

tff(c_28435,plain,
    multiply(sk_c7,sk_c8) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_28340,c_78]) ).

tff(c_28339,plain,
    inverse(sk_c7) = sk_c8,
    inference(splitRight,[status(thm)],[c_80]) ).

tff(c_28344,plain,
    multiply(sk_c8,sk_c7) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_28339,c_4]) ).

tff(c_28509,plain,
    ! [Z_263] : ( multiply(sk_c8,multiply(sk_c7,Z_263)) = multiply(identity,Z_263) ),
    inference(superposition,[status(thm),theory(equality)],[c_28344,c_28461]) ).

tff(c_29059,plain,
    ! [Z_273] : ( multiply(sk_c8,multiply(sk_c7,Z_273)) = Z_273 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28509]) ).

tff(c_29071,plain,
    multiply(sk_c8,sk_c10) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_28435,c_29059]) ).

tff(c_29146,plain,
    multiply(sk_c8,sk_c1) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_29109,c_29071]) ).

tff(c_28521,plain,
    ! [X_2,Z_263] : ( multiply(inverse(X_2),multiply(X_2,Z_263)) = multiply(identity,Z_263) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_28461]) ).

tff(c_29254,plain,
    ! [X_276,Z_277] : ( multiply(inverse(X_276),multiply(X_276,Z_277)) = Z_277 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28521]) ).

tff(c_29287,plain,
    multiply(inverse(sk_c8),sk_c8) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_29146,c_29254]) ).

tff(c_29342,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_29287]) ).

tff(c_28783,plain,
    multiply(sk_c11,identity) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_28782,c_28573]) ).

tff(c_29093,plain,
    multiply(sk_c11,identity) = multiply(sk_c1,sk_c1),
    inference(superposition,[status(thm),theory(equality)],[c_28775,c_29075]) ).

tff(c_29107,plain,
    multiply(sk_c1,sk_c1) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_28783,c_29093]) ).

tff(c_29355,plain,
    multiply(identity,identity) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_29342,c_29342,c_29107]) ).

tff(c_29368,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_29355]) ).

tff(c_28577,plain,
    sk_c11 != sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_28573,c_28340]) ).

tff(c_29114,plain,
    sk_c11 != sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_29109,c_28577]) ).

tff(c_29359,plain,
    sk_c11 != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_29342,c_29114]) ).

tff(c_29384,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_29368,c_29359]) ).

tff(c_29386,plain,
    multiply(sk_c1,sk_c10) != sk_c11,
    inference(splitRight,[status(thm)],[c_54]) ).

tff(c_29457,plain,
    ! [X_278,Y_279,Z_280] : ( multiply(multiply(X_278,Y_279),Z_280) = multiply(X_278,multiply(Y_279,Z_280)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_29508,plain,
    ! [Z_280] : ( multiply(sk_c10,multiply(sk_c11,Z_280)) = multiply(identity,Z_280) ),
    inference(superposition,[status(thm),theory(equality)],[c_161,c_29457]) ).

tff(c_29544,plain,
    ! [Z_282] : ( multiply(sk_c10,multiply(sk_c11,Z_282)) = Z_282 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_29508]) ).

tff(c_29562,plain,
    multiply(sk_c10,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_174,c_29544]) ).

tff(c_29385,plain,
    inverse(sk_c6) = sk_c11,
    inference(splitRight,[status(thm)],[c_54]) ).

tff(c_29391,plain,
    multiply(sk_c11,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_29385,c_4]) ).

tff(c_29559,plain,
    multiply(sk_c10,identity) = sk_c6,
    inference(superposition,[status(thm),theory(equality)],[c_29391,c_29544]) ).

tff(c_29590,plain,
    sk_c6 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_29562,c_29559]) ).

tff(c_29432,plain,
    multiply(sk_c6,sk_c10) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_29386,c_56]) ).

tff(c_29591,plain,
    multiply(sk_c1,sk_c10) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_29590,c_29432]) ).

tff(c_29595,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_29386,c_29591]) ).

tff(c_29597,plain,
    multiply(sk_c2,sk_c11) != sk_c3,
    inference(splitRight,[status(thm)],[c_94]) ).

tff(c_29671,plain,
    multiply(sk_c4,sk_c5) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_29597,c_88]) ).

tff(c_32239,plain,
    multiply(inverse(sk_c4),sk_c11) = sk_c5,
    inference(superposition,[status(thm),theory(equality)],[c_29671,c_32185]) ).

tff(c_32275,plain,
    multiply(sk_c5,sk_c11) = sk_c5,
    inference(demodulation,[status(thm),theory(equality)],[c_29610,c_32239]) ).

tff(c_32281,plain,
    multiply(inverse(sk_c5),sk_c5) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_32275,c_29766]) ).

tff(c_32287,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_32281]) ).

tff(c_29745,plain,
    ! [Z_285] : ( multiply(sk_c10,multiply(sk_c11,Z_285)) = multiply(identity,Z_285) ),
    inference(superposition,[status(thm),theory(equality)],[c_161,c_29694]) ).

tff(c_29791,plain,
    ! [Z_287] : ( multiply(sk_c10,multiply(sk_c11,Z_287)) = Z_287 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_29745]) ).

tff(c_29812,plain,
    multiply(sk_c10,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_174,c_29791]) ).

tff(c_58,plain,
    ( ( multiply(sk_c7,sk_c8) = sk_c10 )
    | ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_140]) ).

tff(c_29642,plain,
    multiply(sk_c1,sk_c10) = sk_c11,
    inference(splitLeft,[status(thm)],[c_58]) ).

tff(c_29742,plain,
    ! [Z_285] : ( multiply(sk_c11,multiply(sk_c1,Z_285)) = multiply(identity,Z_285) ),
    inference(superposition,[status(thm),theory(equality)],[c_174,c_29694]) ).

tff(c_29768,plain,
    ! [Z_286] : ( multiply(sk_c11,multiply(sk_c1,Z_286)) = Z_286 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_29742]) ).

tff(c_29780,plain,
    multiply(sk_c11,sk_c11) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_29642,c_29768]) ).

tff(c_30004,plain,
    ! [Z_290] : ( multiply(sk_c1,multiply(sk_c10,Z_290)) = multiply(sk_c11,Z_290) ),
    inference(superposition,[status(thm),theory(equality)],[c_29642,c_29694]) ).

tff(c_30028,plain,
    multiply(sk_c11,sk_c11) = multiply(sk_c1,identity),
    inference(superposition,[status(thm),theory(equality)],[c_161,c_30004]) ).

tff(c_30032,plain,
    multiply(sk_c1,identity) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_29780,c_30028]) ).

tff(c_29763,plain,
    ! [Z_285] : ( multiply(sk_c11,multiply(sk_c1,Z_285)) = Z_285 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_29742]) ).

tff(c_30047,plain,
    multiply(sk_c11,sk_c10) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_30032,c_29763]) ).

tff(c_29764,plain,
    ! [Z_285] : ( multiply(sk_c10,multiply(sk_c11,Z_285)) = Z_285 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_29745]) ).

tff(c_30068,plain,
    multiply(sk_c10,identity) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_30047,c_29764]) ).

tff(c_30074,plain,
    sk_c10 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_29812,c_30068]) ).

tff(c_30188,plain,
    multiply(sk_c11,sk_c11) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_30074,c_29780]) ).

tff(c_32294,plain,
    multiply(identity,identity) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_32287,c_32287,c_30188]) ).

tff(c_32302,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_32294]) ).

tff(c_32260,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_32185]) ).

tff(c_32563,plain,
    ! [X_332] : ( multiply(X_332,identity) = X_332 ),
    inference(superposition,[status(thm),theory(equality)],[c_32556,c_32260]) ).

tff(c_30305,plain,
    ! [X_292,Z_293] : ( multiply(inverse(X_292),multiply(X_292,Z_293)) = Z_293 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_29751]) ).

tff(c_30765,plain,
    ! [X_299,Z_300] : ( multiply(inverse(inverse(X_299)),Z_300) = multiply(X_299,Z_300) ),
    inference(superposition,[status(thm),theory(equality)],[c_29766,c_30305]) ).

tff(c_30383,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_30305]) ).

tff(c_30772,plain,
    ! [X_299] : ( multiply(X_299,identity) = X_299 ),
    inference(superposition,[status(thm),theory(equality)],[c_30765,c_30383]) ).

tff(c_30362,plain,
    multiply(inverse(sk_c4),sk_c11) = sk_c5,
    inference(superposition,[status(thm),theory(equality)],[c_29671,c_30305]) ).

tff(c_30398,plain,
    multiply(sk_c5,sk_c11) = sk_c5,
    inference(demodulation,[status(thm),theory(equality)],[c_29610,c_30362]) ).

tff(c_30404,plain,
    multiply(inverse(sk_c5),sk_c5) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_30398,c_29766]) ).

tff(c_30410,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_30404]) ).

tff(c_30418,plain,
    multiply(identity,identity) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_30410,c_30410,c_30188]) ).

tff(c_30426,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_30418]) ).

tff(c_30094,plain,
    inverse(sk_c11) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_30074,c_157]) ).

tff(c_30084,plain,
    multiply(sk_c11,sk_c11) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_30074,c_29780]) ).

tff(c_29858,plain,
    ! [Z_288] : ( multiply(sk_c1,multiply(sk_c10,Z_288)) = multiply(sk_c11,Z_288) ),
    inference(superposition,[status(thm),theory(equality)],[c_29642,c_29694]) ).

tff(c_29885,plain,
    multiply(sk_c11,sk_c11) = multiply(sk_c1,identity),
    inference(superposition,[status(thm),theory(equality)],[c_161,c_29858]) ).

tff(c_29889,plain,
    multiply(sk_c1,identity) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_29780,c_29885]) ).

tff(c_29893,plain,
    multiply(sk_c11,sk_c10) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_29889,c_29763]) ).

tff(c_29904,plain,
    multiply(sk_c10,identity) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_29893,c_29764]) ).

tff(c_29910,plain,
    sk_c10 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_29812,c_29904]) ).

tff(c_29803,plain,
    multiply(sk_c10,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_29780,c_29791]) ).

tff(c_29916,plain,
    multiply(sk_c1,sk_c1) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_29910,c_29910,c_29803]) ).

tff(c_29838,plain,
    ! [X2_12,X7_10,X3_8,X9_9,X4_14,X6_7] :
      ( ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 )
      | ( multiply(X4_14,sk_c10) != sk_c11 )
      | ( inverse(X4_14) != sk_c11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_157,c_128]) ).

tff(c_29839,plain,
    ! [X4_14] :
      ( ( multiply(X4_14,sk_c10) != sk_c11 )
      | ( inverse(X4_14) != sk_c11 ) ),
    inference(splitLeft,[status(thm)],[c_29838]) ).

tff(c_29949,plain,
    ! [X4_14] :
      ( ( multiply(X4_14,sk_c1) != sk_c11 )
      | ( inverse(X4_14) != sk_c11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_29910,c_29839]) ).

tff(c_29990,plain,
    inverse(sk_c1) != sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_29916,c_29949]) ).

tff(c_30002,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_170,c_29990]) ).

tff(c_30003,plain,
    ! [X2_12,X7_10,X3_8,X9_9,X6_7] :
      ( ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_29838]) ).

tff(c_30077,plain,
    ! [X9_9] :
      ( ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 ) ),
    inference(splitLeft,[status(thm)],[c_30003]) ).

tff(c_30158,plain,
    ! [X9_291] :
      ( ( multiply(X9_291,sk_c11) != sk_c1 )
      | ( inverse(X9_291) != sk_c1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_30074,c_30074,c_30077]) ).

tff(c_30161,plain,
    inverse(sk_c11) != sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_30084,c_30158]) ).

tff(c_30180,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_30094,c_30161]) ).

tff(c_30181,plain,
    ! [X7_10,X3_8,X2_12,X6_7] :
      ( ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_30003]) ).

tff(c_30261,plain,
    ! [X7_10,X3_8,X2_12,X6_7] :
      ( ( multiply(inverse(X7_10),sk_c11) != sk_c1 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c1 )
      | ( multiply(X3_8,sk_c1) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X2_12),sk_c1) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_30074,c_30074,c_30074,c_30074,c_30074,c_30181]) ).

tff(c_30262,plain,
    ! [X6_7] :
      ( ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c1 ) ),
    inference(splitLeft,[status(thm)],[c_30261]) ).

tff(c_32147,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_30772,c_30426,c_30410,c_2,c_30410,c_30410,c_30262]) ).

tff(c_30424,plain,
    inverse(sk_c1) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_30410,c_170]) ).

tff(c_30492,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_30426,c_30424]) ).

tff(c_32149,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_32147,c_30492]) ).

tff(c_32150,plain,
    ! [X2_12,X3_8,X7_10] :
      ( ( multiply(inverse(X2_12),sk_c1) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( multiply(X3_8,sk_c1) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c1 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c1 ) ),
    inference(splitRight,[status(thm)],[c_30261]) ).

tff(c_265357,plain,
    ! [X2_12,X3_8,X7_10] :
      ( ( inverse(X2_12) != identity )
      | ( identity != X3_8 )
      | ( inverse(X3_8) != identity )
      | ( inverse(X7_10) != identity ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_32577,c_32302,c_32563,c_32302,c_32287,c_32287,c_32563,c_32302,c_32287,c_32577,c_32287,c_32563,c_32302,c_32287,c_32150]) ).

tff(c_265358,plain,
    ! [X7_10] : ( inverse(X7_10) != identity ),
    inference(splitLeft,[status(thm)],[c_265357]) ).

tff(c_32300,plain,
    inverse(sk_c1) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_32287,c_170]) ).

tff(c_32368,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_32302,c_32300]) ).

tff(c_265360,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_265358,c_32368]) ).

tff(c_265361,plain,
    ! [X2_12,X3_8] :
      ( ( inverse(X2_12) != identity )
      | ( identity != X3_8 )
      | ( inverse(X3_8) != identity ) ),
    inference(splitRight,[status(thm)],[c_265357]) ).

tff(c_265363,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_265361]) ).

tff(c_265365,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_265363,c_32368]) ).

tff(c_265366,plain,
    ! [X2_12] : ( inverse(X2_12) != identity ),
    inference(splitRight,[status(thm)],[c_265361]) ).

tff(c_265369,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_265366,c_32368]) ).

tff(c_265371,plain,
    multiply(sk_c1,sk_c10) != sk_c11,
    inference(splitRight,[status(thm)],[c_58]) ).

tff(c_265425,plain,
    ! [X_937,Y_938,Z_939] : ( multiply(multiply(X_937,Y_938),Z_939) = multiply(X_937,multiply(Y_938,Z_939)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_265473,plain,
    ! [Z_939] : ( multiply(sk_c10,multiply(sk_c11,Z_939)) = multiply(identity,Z_939) ),
    inference(superposition,[status(thm),theory(equality)],[c_161,c_265425]) ).

tff(c_265509,plain,
    ! [Z_941] : ( multiply(sk_c10,multiply(sk_c11,Z_941)) = Z_941 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_265473]) ).

tff(c_265527,plain,
    multiply(sk_c10,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_174,c_265509]) ).

tff(c_29596,plain,
    inverse(sk_c6) = sk_c11,
    inference(splitRight,[status(thm)],[c_94]) ).

tff(c_29601,plain,
    multiply(sk_c11,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_29596,c_4]) ).

tff(c_265524,plain,
    multiply(sk_c10,identity) = sk_c6,
    inference(superposition,[status(thm),theory(equality)],[c_29601,c_265509]) ).

tff(c_265555,plain,
    sk_c6 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_265527,c_265524]) ).

tff(c_76,plain,
    ( ( multiply(sk_c6,sk_c10) = sk_c11 )
    | ( multiply(sk_c11,sk_c3) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_167]) ).

tff(c_265386,plain,
    multiply(sk_c6,sk_c10) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_28340,c_76]) ).

tff(c_265556,plain,
    multiply(sk_c1,sk_c10) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_265555,c_265386]) ).

tff(c_265560,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_265371,c_265556]) ).

tff(c_265562,plain,
    inverse(sk_c1) != sk_c11,
    inference(splitRight,[status(thm)],[c_34]) ).

tff(c_28,plain,
    ( ( multiply(sk_c4,sk_c5) = sk_c11 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_95]) ).

tff(c_265656,plain,
    multiply(sk_c4,sk_c5) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_265562,c_28]) ).

tff(c_265743,plain,
    ! [Z_944] : ( multiply(sk_c10,multiply(sk_c11,Z_944)) = multiply(identity,Z_944) ),
    inference(superposition,[status(thm),theory(equality)],[c_161,c_265698]) ).

tff(c_265904,plain,
    ! [Z_949] : ( multiply(sk_c10,multiply(sk_c11,Z_949)) = Z_949 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_265743]) ).

tff(c_265919,plain,
    multiply(sk_c10,identity) = sk_c2,
    inference(superposition,[status(thm),theory(equality)],[c_149,c_265904]) ).

tff(c_265561,plain,
    inverse(sk_c6) = sk_c11,
    inference(splitRight,[status(thm)],[c_34]) ).

tff(c_265566,plain,
    multiply(sk_c11,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_265561,c_4]) ).

tff(c_265916,plain,
    multiply(sk_c10,identity) = sk_c6,
    inference(superposition,[status(thm),theory(equality)],[c_265566,c_265904]) ).

tff(c_265931,plain,
    sk_c6 = sk_c2,
    inference(demodulation,[status(thm),theory(equality)],[c_265919,c_265916]) ).

tff(c_36,plain,
    ( ( multiply(sk_c6,sk_c10) = sk_c11 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_107]) ).

tff(c_265670,plain,
    multiply(sk_c6,sk_c10) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_265562,c_36]) ).

tff(c_265959,plain,
    multiply(sk_c2,sk_c10) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_265931,c_265670]) ).

tff(c_265746,plain,
    ! [Z_944] : ( multiply(sk_c11,multiply(sk_c2,Z_944)) = multiply(identity,Z_944) ),
    inference(superposition,[status(thm),theory(equality)],[c_149,c_265698]) ).

tff(c_265975,plain,
    ! [Z_951] : ( multiply(sk_c11,multiply(sk_c2,Z_951)) = Z_951 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_265746]) ).

tff(c_265990,plain,
    multiply(sk_c11,sk_c11) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_265959,c_265975]) ).

tff(c_30,plain,
    ( ( inverse(sk_c4) = sk_c5 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_265600,plain,
    inverse(sk_c4) = sk_c5,
    inference(negUnitSimplification,[status(thm)],[c_265562,c_30]) ).

tff(c_265604,plain,
    multiply(sk_c5,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_265600,c_4]) ).

tff(c_265734,plain,
    ! [Z_944] : ( multiply(sk_c5,multiply(sk_c4,Z_944)) = multiply(identity,Z_944) ),
    inference(superposition,[status(thm),theory(equality)],[c_265604,c_265698]) ).

tff(c_266223,plain,
    ! [Z_957] : ( multiply(sk_c5,multiply(sk_c4,Z_957)) = Z_957 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_265734]) ).

tff(c_266244,plain,
    multiply(sk_c5,sk_c11) = sk_c5,
    inference(superposition,[status(thm),theory(equality)],[c_265656,c_266223]) ).

tff(c_265722,plain,
    ! [Z_944] : ( multiply(sk_c4,multiply(sk_c5,Z_944)) = multiply(sk_c11,Z_944) ),
    inference(superposition,[status(thm),theory(equality)],[c_265656,c_265698]) ).

tff(c_266368,plain,
    multiply(sk_c4,sk_c5) = multiply(sk_c11,sk_c11),
    inference(superposition,[status(thm),theory(equality)],[c_266244,c_265722]) ).

tff(c_266374,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_265656,c_265990,c_266368]) ).

tff(c_266389,plain,
    multiply(sk_c10,sk_c10) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_266374,c_161]) ).

tff(c_32,plain,
    ( ( multiply(sk_c5,sk_c10) = sk_c11 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_265644,plain,
    multiply(sk_c5,sk_c10) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_265562,c_32]) ).

tff(c_266386,plain,
    multiply(sk_c5,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_266374,c_265644]) ).

tff(c_266376,plain,
    multiply(sk_c5,sk_c10) = sk_c5,
    inference(demodulation,[status(thm),theory(equality)],[c_266374,c_266244]) ).

tff(c_268472,plain,
    sk_c5 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_266386,c_266376]) ).

tff(c_268481,plain,
    multiply(sk_c10,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_268472,c_266386]) ).

tff(c_268485,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_266389,c_268481]) ).

tff(c_268550,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_268523]) ).

tff(c_268780,plain,
    ! [X_1001] : ( multiply(X_1001,identity) = X_1001 ),
    inference(superposition,[status(thm),theory(equality)],[c_268773,c_268550]) ).

tff(c_266515,plain,
    ! [X_961,Z_962] : ( multiply(inverse(X_961),multiply(X_961,Z_962)) = Z_962 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_265749]) ).

tff(c_266747,plain,
    ! [X_965,Z_966] : ( multiply(inverse(inverse(X_965)),Z_966) = multiply(X_965,Z_966) ),
    inference(superposition,[status(thm),theory(equality)],[c_265763,c_266515]) ).

tff(c_266768,plain,
    ! [X_965] : ( multiply(X_965,inverse(X_965)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_266747,c_4]) ).

tff(c_266452,plain,
    sk_c5 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_266386,c_266376]) ).

tff(c_266460,plain,
    multiply(sk_c10,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_266452,c_266386]) ).

tff(c_266464,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_266389,c_266460]) ).

tff(c_266545,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_266515]) ).

tff(c_266754,plain,
    ! [X_965] : ( multiply(X_965,identity) = X_965 ),
    inference(superposition,[status(thm),theory(equality)],[c_266747,c_266545]) ).

tff(c_44,plain,
    ( ( inverse(sk_c9) = sk_c10 )
    | ( inverse(sk_c1) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_119]) ).

tff(c_265570,plain,
    inverse(sk_c1) = sk_c11,
    inference(splitLeft,[status(thm)],[c_44]) ).

tff(c_265579,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_265570,c_265562]) ).

tff(c_265580,plain,
    inverse(sk_c9) = sk_c10,
    inference(splitRight,[status(thm)],[c_44]) ).

tff(c_265585,plain,
    multiply(sk_c10,sk_c9) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_265580,c_4]) ).

tff(c_265737,plain,
    ! [Z_944] : ( multiply(sk_c10,multiply(sk_c9,Z_944)) = multiply(identity,Z_944) ),
    inference(superposition,[status(thm),theory(equality)],[c_265585,c_265698]) ).

tff(c_265759,plain,
    ! [Z_944] : ( multiply(sk_c10,multiply(sk_c9,Z_944)) = Z_944 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_265737]) ).

tff(c_266252,plain,
    multiply(sk_c4,sk_c5) = multiply(sk_c11,sk_c11),
    inference(superposition,[status(thm),theory(equality)],[c_266244,c_265722]) ).

tff(c_266258,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_265656,c_265990,c_266252]) ).

tff(c_266037,plain,
    ! [Z_953] : ( multiply(sk_c5,multiply(sk_c4,Z_953)) = Z_953 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_265734]) ).

tff(c_266058,plain,
    multiply(sk_c5,sk_c11) = sk_c5,
    inference(superposition,[status(thm),theory(equality)],[c_265656,c_266037]) ).

tff(c_266101,plain,
    multiply(sk_c4,sk_c5) = multiply(sk_c11,sk_c11),
    inference(superposition,[status(thm),theory(equality)],[c_266058,c_265722]) ).

tff(c_266107,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_265990,c_265656,c_266101]) ).

tff(c_266126,plain,
    inverse(sk_c2) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_266107,c_145]) ).

tff(c_266115,plain,
    multiply(sk_c2,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_266107,c_265959]) ).

tff(c_265768,plain,
    ! [Z_945] : ( multiply(sk_c10,multiply(sk_c11,Z_945)) = Z_945 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_265743]) ).

tff(c_265783,plain,
    multiply(sk_c10,identity) = sk_c2,
    inference(superposition,[status(thm),theory(equality)],[c_149,c_265768]) ).

tff(c_265780,plain,
    multiply(sk_c10,identity) = sk_c6,
    inference(superposition,[status(thm),theory(equality)],[c_265566,c_265768]) ).

tff(c_265795,plain,
    sk_c6 = sk_c2,
    inference(demodulation,[status(thm),theory(equality)],[c_265783,c_265780]) ).

tff(c_265824,plain,
    multiply(sk_c2,sk_c10) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_265795,c_265670]) ).

tff(c_265766,plain,
    ! [X2_12,X7_10,X3_8,X9_9,X4_14,X6_7] :
      ( ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 )
      | ( multiply(X4_14,sk_c10) != sk_c11 )
      | ( inverse(X4_14) != sk_c11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_157,c_128]) ).

tff(c_265877,plain,
    ! [X4_948] :
      ( ( multiply(X4_948,sk_c10) != sk_c11 )
      | ( inverse(X4_948) != sk_c11 ) ),
    inference(splitLeft,[status(thm)],[c_265766]) ).

tff(c_265880,plain,
    inverse(sk_c2) != sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_265824,c_265877]) ).

tff(c_265902,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_145,c_265880]) ).

tff(c_265903,plain,
    ! [X2_12,X7_10,X3_8,X9_9,X6_7] :
      ( ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_265766]) ).

tff(c_266011,plain,
    ! [X9_9] :
      ( ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 ) ),
    inference(splitLeft,[status(thm)],[c_265903]) ).

tff(c_266145,plain,
    ! [X9_9] :
      ( ( multiply(X9_9,sk_c10) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_266107,c_266011]) ).

tff(c_266187,plain,
    inverse(sk_c2) != sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_266115,c_266145]) ).

tff(c_266196,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_266126,c_266187]) ).

tff(c_266197,plain,
    ! [X7_10,X3_8,X2_12,X6_7] :
      ( ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_265903]) ).

tff(c_266248,plain,
    ! [X6_7] :
      ( ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 ) ),
    inference(splitLeft,[status(thm)],[c_266197]) ).

tff(c_266335,plain,
    ! [X6_959] :
      ( ( inverse(X6_959) != sk_c10 )
      | ( multiply(sk_c10,multiply(X6_959,sk_c10)) != sk_c10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_266258,c_266258,c_266258,c_266248]) ).

tff(c_266345,plain,
    inverse(sk_c9) != sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_265759,c_266335]) ).

tff(c_266363,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_265580,c_266345]) ).

tff(c_266364,plain,
    ! [X2_12,X3_8,X7_10] :
      ( ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_266197]) ).

tff(c_266450,plain,
    ! [X2_12,X3_8,X7_10] :
      ( ( multiply(inverse(X2_12),sk_c10) != sk_c10 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c10 )
      | ( inverse(X3_8) != sk_c10 )
      | ( multiply(inverse(X7_10),sk_c10) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_266374,c_266374,c_266374,c_266374,c_266374,c_266364]) ).

tff(c_266451,plain,
    ! [X7_10] :
      ( ( multiply(inverse(X7_10),sk_c10) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 ) ),
    inference(splitLeft,[status(thm)],[c_266450]) ).

tff(c_268468,plain,
    ! [X7_10] : ( inverse(X7_10) != identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_266768,c_266464,c_266754,c_266464,c_266464,c_266451]) ).

tff(c_266390,plain,
    inverse(sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_266374,c_157]) ).

tff(c_266472,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_266464,c_266464,c_266390]) ).

tff(c_268470,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_268468,c_266472]) ).

tff(c_268471,plain,
    ! [X3_8,X2_12] :
      ( ( multiply(X3_8,sk_c10) != sk_c10 )
      | ( inverse(X3_8) != sk_c10 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c10 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_266450]) ).

tff(c_284738,plain,
    ! [X3_8,X2_12] :
      ( ( identity != X3_8 )
      | ( inverse(X3_8) != identity )
      | ( inverse(X2_12) != identity ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_268811,c_268485,c_268780,c_268485,c_268485,c_268485,c_268780,c_268485,c_268485,c_268471]) ).

tff(c_284739,plain,
    ! [X2_12] : ( inverse(X2_12) != identity ),
    inference(splitLeft,[status(thm)],[c_284738]) ).

tff(c_268499,plain,
    multiply(identity,identity) = sk_c2,
    inference(demodulation,[status(thm),theory(equality)],[c_268485,c_265919]) ).

tff(c_268505,plain,
    sk_c2 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_268499]) ).

tff(c_266392,plain,
    inverse(sk_c2) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_266374,c_145]) ).

tff(c_268494,plain,
    inverse(sk_c2) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_268485,c_266392]) ).

tff(c_268583,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_268505,c_268494]) ).

tff(c_284741,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_284739,c_268583]) ).

tff(c_284743,plain,
    inverse(identity) != identity,
    inference(splitRight,[status(thm)],[c_284738]) ).

tff(c_284745,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_284743,c_268583]) ).

tff(c_284747,plain,
    inverse(sk_c11) != sk_c10,
    inference(splitRight,[status(thm)],[c_14]) ).

tff(c_8,plain,
    ( ( multiply(sk_c4,sk_c5) = sk_c11 )
    | ( inverse(sk_c11) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_284830,plain,
    multiply(sk_c4,sk_c5) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_284747,c_8]) ).

tff(c_10,plain,
    ( ( inverse(sk_c4) = sk_c5 )
    | ( inverse(sk_c11) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_284799,plain,
    inverse(sk_c4) = sk_c5,
    inference(negUnitSimplification,[status(thm)],[c_284747,c_10]) ).

tff(c_284803,plain,
    multiply(sk_c5,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_284799,c_4]) ).

tff(c_284885,plain,
    ! [X_1136,Y_1137,Z_1138] : ( multiply(multiply(X_1136,Y_1137),Z_1138) = multiply(X_1136,multiply(Y_1137,Z_1138)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_284918,plain,
    ! [Z_1138] : ( multiply(sk_c5,multiply(sk_c4,Z_1138)) = multiply(identity,Z_1138) ),
    inference(superposition,[status(thm),theory(equality)],[c_284803,c_284885]) ).

tff(c_284952,plain,
    ! [Z_1139] : ( multiply(sk_c5,multiply(sk_c4,Z_1139)) = Z_1139 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_284918]) ).

tff(c_284964,plain,
    multiply(sk_c5,sk_c11) = sk_c5,
    inference(superposition,[status(thm),theory(equality)],[c_284830,c_284952]) ).

tff(c_284936,plain,
    ! [X_2,Z_1138] : ( multiply(inverse(X_2),multiply(X_2,Z_1138)) = multiply(identity,Z_1138) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_284885]) ).

tff(c_285058,plain,
    ! [X_1144,Z_1145] : ( multiply(inverse(X_1144),multiply(X_1144,Z_1145)) = Z_1145 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_284936]) ).

tff(c_285097,plain,
    multiply(inverse(sk_c5),sk_c5) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_284964,c_285058]) ).

tff(c_285168,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_285097]) ).

tff(c_18,plain,
    ( ( multiply(sk_c7,sk_c8) = sk_c10 )
    | ( inverse(sk_c11) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_80]) ).

tff(c_284819,plain,
    multiply(sk_c7,sk_c8) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_284747,c_18]) ).

tff(c_20,plain,
    ( ( inverse(sk_c7) = sk_c8 )
    | ( inverse(sk_c11) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_284786,plain,
    inverse(sk_c7) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_284747,c_20]) ).

tff(c_284790,plain,
    multiply(sk_c8,sk_c7) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_284786,c_4]) ).

tff(c_284921,plain,
    ! [Z_1138] : ( multiply(sk_c8,multiply(sk_c7,Z_1138)) = multiply(identity,Z_1138) ),
    inference(superposition,[status(thm),theory(equality)],[c_284790,c_284885]) ).

tff(c_284975,plain,
    ! [Z_1140] : ( multiply(sk_c8,multiply(sk_c7,Z_1140)) = Z_1140 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_284921]) ).

tff(c_284987,plain,
    multiply(sk_c8,sk_c10) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_284819,c_284975]) ).

tff(c_285088,plain,
    multiply(inverse(sk_c8),sk_c8) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_284987,c_285058]) ).

tff(c_285167,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_285088]) ).

tff(c_285187,plain,
    inverse(sk_c11) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_285167,c_284747]) ).

tff(c_285305,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_285168,c_285187]) ).

tff(c_284746,plain,
    inverse(sk_c6) = sk_c11,
    inference(splitRight,[status(thm)],[c_14]) ).

tff(c_285201,plain,
    inverse(sk_c6) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_285168,c_284746]) ).

tff(c_285262,plain,
    multiply(identity,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_285201,c_4]) ).

tff(c_284950,plain,
    ! [X_2,Z_1138] : ( multiply(inverse(X_2),multiply(X_2,Z_1138)) = Z_1138 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_284936]) ).

tff(c_285309,plain,
    multiply(inverse(identity),identity) = sk_c6,
    inference(superposition,[status(thm),theory(equality)],[c_285262,c_284950]) ).

tff(c_285321,plain,
    sk_c6 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_285309]) ).

tff(c_285325,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_285321,c_285201]) ).

tff(c_285328,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_285305,c_285325]) ).

tff(c_285330,plain,
    inverse(sk_c2) != sk_c11,
    inference(splitRight,[status(thm)],[c_120]) ).

tff(c_108,plain,
    ( ( multiply(sk_c4,sk_c5) = sk_c11 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_215]) ).

tff(c_515489,plain,
    multiply(sk_c4,sk_c5) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_285330,c_108]) ).

tff(c_287628,plain,
    ! [X_1179,Y_1180,Z_1181] : ( multiply(multiply(X_1179,Y_1180),Z_1181) = multiply(X_1179,multiply(Y_1180,Z_1181)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_287676,plain,
    ! [X_2,Z_1181] : ( multiply(inverse(X_2),multiply(X_2,Z_1181)) = multiply(identity,Z_1181) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_287628]) ).

tff(c_288782,plain,
    ! [X_1204,Z_1205] : ( multiply(inverse(X_1204),multiply(X_1204,Z_1205)) = Z_1205 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_287676]) ).

tff(c_287689,plain,
    ! [X_2,Z_1181] : ( multiply(inverse(X_2),multiply(X_2,Z_1181)) = Z_1181 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_287676]) ).

tff(c_289029,plain,
    ! [X_1207,Z_1208] : ( multiply(inverse(inverse(X_1207)),Z_1208) = multiply(X_1207,Z_1208) ),
    inference(superposition,[status(thm),theory(equality)],[c_288782,c_287689]) ).

tff(c_289050,plain,
    ! [X_1207] : ( multiply(X_1207,inverse(X_1207)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_289029,c_4]) ).

tff(c_288821,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_288782]) ).

tff(c_289036,plain,
    ! [X_1207] : ( multiply(X_1207,identity) = X_1207 ),
    inference(superposition,[status(thm),theory(equality)],[c_289029,c_288821]) ).

tff(c_288101,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_287676]) ).

tff(c_288359,plain,
    ! [X_1194,Z_1195] : ( multiply(inverse(inverse(X_1194)),Z_1195) = multiply(X_1194,Z_1195) ),
    inference(superposition,[status(thm),theory(equality)],[c_287689,c_288101]) ).

tff(c_288140,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_288101]) ).

tff(c_288366,plain,
    ! [X_1194] : ( multiply(X_1194,identity) = X_1194 ),
    inference(superposition,[status(thm),theory(equality)],[c_288359,c_288140]) ).

tff(c_118,plain,
    ( ( multiply(sk_c7,sk_c8) = sk_c10 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_230]) ).

tff(c_287567,plain,
    multiply(sk_c7,sk_c8) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_285330,c_118]) ).

tff(c_285329,plain,
    inverse(sk_c7) = sk_c8,
    inference(splitRight,[status(thm)],[c_120]) ).

tff(c_285334,plain,
    multiply(sk_c8,sk_c7) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_285329,c_4]) ).

tff(c_287673,plain,
    ! [Z_1181] : ( multiply(sk_c8,multiply(sk_c7,Z_1181)) = multiply(identity,Z_1181) ),
    inference(superposition,[status(thm),theory(equality)],[c_285334,c_287628]) ).

tff(c_287825,plain,
    ! [Z_1187] : ( multiply(sk_c8,multiply(sk_c7,Z_1187)) = Z_1187 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_287673]) ).

tff(c_287837,plain,
    multiply(sk_c8,sk_c10) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_287567,c_287825]) ).

tff(c_285342,plain,
    inverse(sk_c11) = sk_c10,
    inference(splitLeft,[status(thm)],[c_10]) ).

tff(c_285346,plain,
    multiply(sk_c10,sk_c11) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_285342,c_4]) ).

tff(c_285397,plain,
    inverse(sk_c1) = sk_c11,
    inference(splitLeft,[status(thm)],[c_36]) ).

tff(c_285401,plain,
    multiply(sk_c11,sk_c1) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_285397,c_4]) ).

tff(c_285480,plain,
    ! [X_1147,Y_1148,Z_1149] : ( multiply(multiply(X_1147,Y_1148),Z_1149) = multiply(X_1147,multiply(Y_1148,Z_1149)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_285525,plain,
    ! [Z_1149] : ( multiply(sk_c10,multiply(sk_c11,Z_1149)) = multiply(identity,Z_1149) ),
    inference(superposition,[status(thm),theory(equality)],[c_285346,c_285480]) ).

tff(c_286388,plain,
    ! [Z_1167] : ( multiply(sk_c10,multiply(sk_c11,Z_1167)) = Z_1167 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_285525]) ).

tff(c_286409,plain,
    multiply(sk_c10,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_285401,c_286388]) ).

tff(c_116,plain,
    ( ( multiply(sk_c6,sk_c10) = sk_c11 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_227]) ).

tff(c_285435,plain,
    multiply(sk_c6,sk_c10) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_285330,c_116]) ).

tff(c_114,plain,
    ( ( inverse(sk_c6) = sk_c11 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_224]) ).

tff(c_285368,plain,
    inverse(sk_c6) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_285330,c_114]) ).

tff(c_285372,plain,
    multiply(sk_c11,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_285368,c_4]) ).

tff(c_285519,plain,
    ! [Z_1149] : ( multiply(sk_c11,multiply(sk_c6,Z_1149)) = multiply(identity,Z_1149) ),
    inference(superposition,[status(thm),theory(equality)],[c_285372,c_285480]) ).

tff(c_285794,plain,
    ! [Z_1156] : ( multiply(sk_c11,multiply(sk_c6,Z_1156)) = Z_1156 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_285519]) ).

tff(c_285806,plain,
    multiply(sk_c11,sk_c11) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_285435,c_285794]) ).

tff(c_287064,plain,
    ! [Z_1174] : ( multiply(sk_c6,multiply(sk_c10,Z_1174)) = multiply(sk_c11,Z_1174) ),
    inference(superposition,[status(thm),theory(equality)],[c_285435,c_285480]) ).

tff(c_287094,plain,
    multiply(sk_c6,identity) = multiply(sk_c11,sk_c11),
    inference(superposition,[status(thm),theory(equality)],[c_285346,c_287064]) ).

tff(c_287098,plain,
    multiply(sk_c6,identity) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_285806,c_287094]) ).

tff(c_285541,plain,
    ! [Z_1149] : ( multiply(sk_c11,multiply(sk_c6,Z_1149)) = Z_1149 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_285519]) ).

tff(c_287102,plain,
    multiply(sk_c11,sk_c10) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_287098,c_285541]) ).

tff(c_285543,plain,
    ! [Z_1149] : ( multiply(sk_c10,multiply(sk_c11,Z_1149)) = Z_1149 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_285525]) ).

tff(c_287436,plain,
    multiply(sk_c10,identity) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_287102,c_285543]) ).

tff(c_287442,plain,
    sk_c10 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_286409,c_287436]) ).

tff(c_286412,plain,
    multiply(sk_c10,identity) = sk_c6,
    inference(superposition,[status(thm),theory(equality)],[c_285372,c_286388]) ).

tff(c_287110,plain,
    sk_c6 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_286409,c_286412]) ).

tff(c_287125,plain,
    multiply(sk_c1,sk_c10) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_287110,c_285435]) ).

tff(c_287446,plain,
    multiply(sk_c1,sk_c1) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_287442,c_287125]) ).

tff(c_287161,plain,
    multiply(sk_c10,identity) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_287102,c_285543]) ).

tff(c_287167,plain,
    sk_c10 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_286409,c_287161]) ).

tff(c_287186,plain,
    inverse(sk_c11) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_287167,c_285342]) ).

tff(c_287171,plain,
    multiply(sk_c1,sk_c1) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_287167,c_287125]) ).

tff(c_285453,plain,
    multiply(sk_c4,sk_c5) = sk_c11,
    inference(negUnitSimplification,[status(thm)],[c_285330,c_108]) ).

tff(c_110,plain,
    ( ( inverse(sk_c4) = sk_c5 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_218]) ).

tff(c_285380,plain,
    inverse(sk_c4) = sk_c5,
    inference(negUnitSimplification,[status(thm)],[c_285330,c_110]) ).

tff(c_285384,plain,
    multiply(sk_c5,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_285380,c_4]) ).

tff(c_285516,plain,
    ! [Z_1149] : ( multiply(sk_c5,multiply(sk_c4,Z_1149)) = multiply(identity,Z_1149) ),
    inference(superposition,[status(thm),theory(equality)],[c_285384,c_285480]) ).

tff(c_285547,plain,
    ! [Z_1150] : ( multiply(sk_c5,multiply(sk_c4,Z_1150)) = Z_1150 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_285516]) ).

tff(c_285559,plain,
    multiply(sk_c5,sk_c11) = sk_c5,
    inference(superposition,[status(thm),theory(equality)],[c_285453,c_285547]) ).

tff(c_285531,plain,
    ! [X_2,Z_1149] : ( multiply(inverse(X_2),multiply(X_2,Z_1149)) = multiply(identity,Z_1149) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_285480]) ).

tff(c_286641,plain,
    ! [X_1170,Z_1171] : ( multiply(inverse(X_1170),multiply(X_1170,Z_1171)) = Z_1171 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_285531]) ).

tff(c_286692,plain,
    multiply(inverse(sk_c5),sk_c5) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_285559,c_286641]) ).

tff(c_286736,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_286692]) ).

tff(c_286426,plain,
    sk_c6 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_286409,c_286412]) ).

tff(c_285501,plain,
    ! [Z_1149] : ( multiply(sk_c6,multiply(sk_c10,Z_1149)) = multiply(sk_c11,Z_1149) ),
    inference(superposition,[status(thm),theory(equality)],[c_285435,c_285480]) ).

tff(c_286458,plain,
    ! [Z_1168] : ( multiply(sk_c1,multiply(sk_c10,Z_1168)) = multiply(sk_c11,Z_1168) ),
    inference(demodulation,[status(thm),theory(equality)],[c_286426,c_285501]) ).

tff(c_286488,plain,
    multiply(sk_c11,sk_c11) = multiply(sk_c1,identity),
    inference(superposition,[status(thm),theory(equality)],[c_285346,c_286458]) ).

tff(c_286492,plain,
    multiply(sk_c1,identity) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_285806,c_286488]) ).

tff(c_285513,plain,
    ! [Z_1149] : ( multiply(sk_c11,multiply(sk_c1,Z_1149)) = multiply(identity,Z_1149) ),
    inference(superposition,[status(thm),theory(equality)],[c_285401,c_285480]) ).

tff(c_285539,plain,
    ! [Z_1149] : ( multiply(sk_c11,multiply(sk_c1,Z_1149)) = Z_1149 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_285513]) ).

tff(c_286496,plain,
    multiply(sk_c11,sk_c10) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_286492,c_285539]) ).

tff(c_286507,plain,
    multiply(sk_c10,identity) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_286496,c_285543]) ).

tff(c_286513,plain,
    sk_c10 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_286409,c_286507]) ).

tff(c_286523,plain,
    multiply(sk_c11,sk_c11) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_286513,c_285806]) ).

tff(c_286743,plain,
    multiply(identity,identity) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_286736,c_286736,c_286523]) ).

tff(c_286754,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_286743]) ).

tff(c_286533,plain,
    inverse(sk_c11) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_286513,c_285342]) ).

tff(c_286245,plain,
    ! [X_1165,Z_1166] : ( multiply(inverse(X_1165),multiply(X_1165,Z_1166)) = Z_1166 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_285531]) ).

tff(c_286293,plain,
    multiply(inverse(sk_c5),sk_c5) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_285559,c_286245]) ).

tff(c_286336,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_286293]) ).

tff(c_286011,plain,
    ! [Z_1162] : ( multiply(sk_c10,multiply(sk_c11,Z_1162)) = Z_1162 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_285525]) ).

tff(c_286032,plain,
    multiply(sk_c10,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_285401,c_286011]) ).

tff(c_126,plain,
    ( ( multiply(sk_c9,sk_c11) = sk_c10 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_242]) ).

tff(c_285411,plain,
    multiply(sk_c9,sk_c11) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_285330,c_126]) ).

tff(c_286057,plain,
    ! [Z_1163] : ( multiply(sk_c9,multiply(sk_c11,Z_1163)) = multiply(sk_c10,Z_1163) ),
    inference(superposition,[status(thm),theory(equality)],[c_285411,c_285480]) ).

tff(c_286075,plain,
    multiply(sk_c9,sk_c10) = multiply(sk_c10,sk_c11),
    inference(superposition,[status(thm),theory(equality)],[c_285806,c_286057]) ).

tff(c_286088,plain,
    multiply(sk_c9,sk_c10) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_285346,c_286075]) ).

tff(c_124,plain,
    ( ( inverse(sk_c9) = sk_c10 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_239]) ).

tff(c_285354,plain,
    inverse(sk_c9) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_285330,c_124]) ).

tff(c_285358,plain,
    multiply(sk_c10,sk_c9) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_285354,c_4]) ).

tff(c_285522,plain,
    ! [Z_1149] : ( multiply(sk_c10,multiply(sk_c9,Z_1149)) = multiply(identity,Z_1149) ),
    inference(superposition,[status(thm),theory(equality)],[c_285358,c_285480]) ).

tff(c_285542,plain,
    ! [Z_1149] : ( multiply(sk_c10,multiply(sk_c9,Z_1149)) = Z_1149 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_285522]) ).

tff(c_286114,plain,
    multiply(sk_c10,identity) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_286088,c_285542]) ).

tff(c_286120,plain,
    sk_c10 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_286032,c_286114]) ).

tff(c_286129,plain,
    multiply(sk_c11,sk_c11) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_286120,c_285806]) ).

tff(c_286342,plain,
    multiply(identity,identity) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_286336,c_286336,c_286129]) ).

tff(c_286355,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_286342]) ).

tff(c_285841,plain,
    ! [Z_1158] : ( multiply(sk_c4,multiply(sk_c5,Z_1158)) = multiply(sk_c11,Z_1158) ),
    inference(superposition,[status(thm),theory(equality)],[c_285453,c_285480]) ).

tff(c_285856,plain,
    multiply(sk_c4,sk_c5) = multiply(sk_c11,sk_c11),
    inference(superposition,[status(thm),theory(equality)],[c_285559,c_285841]) ).

tff(c_285869,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_285806,c_285453,c_285856]) ).

tff(c_285879,plain,
    multiply(sk_c9,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_285869,c_285411]) ).

tff(c_285570,plain,
    ! [Z_1151] : ( multiply(sk_c10,multiply(sk_c9,Z_1151)) = Z_1151 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_285522]) ).

tff(c_285582,plain,
    multiply(sk_c10,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_285411,c_285570]) ).

tff(c_285417,plain,
    multiply(sk_c7,sk_c8) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_285330,c_118]) ).

tff(c_285528,plain,
    ! [Z_1149] : ( multiply(sk_c8,multiply(sk_c7,Z_1149)) = multiply(identity,Z_1149) ),
    inference(superposition,[status(thm),theory(equality)],[c_285334,c_285480]) ).

tff(c_285619,plain,
    ! [Z_1153] : ( multiply(sk_c8,multiply(sk_c7,Z_1153)) = Z_1153 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_285528]) ).

tff(c_285631,plain,
    multiply(sk_c8,sk_c10) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_285417,c_285619]) ).

tff(c_285507,plain,
    ! [Z_1149] : ( multiply(sk_c7,multiply(sk_c8,Z_1149)) = multiply(sk_c10,Z_1149) ),
    inference(superposition,[status(thm),theory(equality)],[c_285417,c_285480]) ).

tff(c_285675,plain,
    multiply(sk_c7,sk_c8) = multiply(sk_c10,sk_c10),
    inference(superposition,[status(thm),theory(equality)],[c_285631,c_285507]) ).

tff(c_285681,plain,
    sk_c11 = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_285582,c_285417,c_285675]) ).

tff(c_285691,plain,
    multiply(sk_c9,sk_c10) = sk_c10,
    inference(demodulation,[status(thm),theory(equality)],[c_285681,c_285411]) ).

tff(c_285594,plain,
    ! [X2_12,X7_10,X3_8,X9_9,X4_14,X6_7] :
      ( ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 )
      | ( multiply(X4_14,sk_c10) != sk_c11 )
      | ( inverse(X4_14) != sk_c11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_285342,c_128]) ).

tff(c_285595,plain,
    ! [X4_14] :
      ( ( multiply(X4_14,sk_c10) != sk_c11 )
      | ( inverse(X4_14) != sk_c11 ) ),
    inference(splitLeft,[status(thm)],[c_285594]) ).

tff(c_285710,plain,
    ! [X4_14] :
      ( ( multiply(X4_14,sk_c10) != sk_c10 )
      | ( inverse(X4_14) != sk_c10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_285681,c_285681,c_285595]) ).

tff(c_285780,plain,
    inverse(sk_c9) != sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_285691,c_285710]) ).

tff(c_285792,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_285354,c_285780]) ).

tff(c_285793,plain,
    ! [X2_12,X7_10,X3_8,X9_9,X6_7] :
      ( ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_285594]) ).

tff(c_285810,plain,
    ! [X9_9] :
      ( ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 ) ),
    inference(splitLeft,[status(thm)],[c_285793]) ).

tff(c_285912,plain,
    ! [X9_9] :
      ( ( multiply(X9_9,sk_c10) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_285869,c_285810]) ).

tff(c_285953,plain,
    inverse(sk_c9) != sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_285879,c_285912]) ).

tff(c_285965,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_285354,c_285953]) ).

tff(c_285966,plain,
    ! [X7_10,X3_8,X2_12,X6_7] :
      ( ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_285793]) ).

tff(c_286010,plain,
    ! [X6_7] :
      ( ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 ) ),
    inference(splitLeft,[status(thm)],[c_285966]) ).

tff(c_286152,plain,
    ! [X6_1164] :
      ( ( inverse(X6_1164) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_1164,sk_c11)) != sk_c1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_286120,c_286010]) ).

tff(c_286156,plain,
    ( ( inverse(sk_c1) != sk_c11 )
    | ( sk_c11 != sk_c1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_285539,c_286152]) ).

tff(c_286173,plain,
    sk_c11 != sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_285397,c_286156]) ).

tff(c_286347,plain,
    sk_c1 != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_286336,c_286173]) ).

tff(c_286386,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_286355,c_286347]) ).

tff(c_286387,plain,
    ! [X2_12,X3_8,X7_10] :
      ( ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_285966]) ).

tff(c_286425,plain,
    ! [X7_10] :
      ( ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 ) ),
    inference(splitLeft,[status(thm)],[c_286387]) ).

tff(c_286554,plain,
    ! [X7_1169] :
      ( ( multiply(inverse(X7_1169),sk_c11) != sk_c1 )
      | ( multiply(X7_1169,inverse(X7_1169)) != sk_c1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_286513,c_286513,c_286425]) ).

tff(c_286567,plain,
    ( ( sk_c1 != identity )
    | ( multiply(sk_c11,inverse(sk_c11)) != sk_c1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_286554]) ).

tff(c_286573,plain,
    ( ( sk_c1 != identity )
    | ( sk_c1 != identity ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_285401,c_286533,c_286567]) ).

tff(c_287062,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_286754,c_286754,c_286573]) ).

tff(c_287063,plain,
    ! [X3_8,X2_12] :
      ( ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 ) ),
    inference(splitRight,[status(thm)],[c_286387]) ).

tff(c_287157,plain,
    ! [X2_12] :
      ( ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 ) ),
    inference(splitLeft,[status(thm)],[c_287063]) ).

tff(c_287248,plain,
    ! [X2_1175] :
      ( ( multiply(inverse(X2_1175),sk_c1) != sk_c11 )
      | ( multiply(X2_1175,inverse(X2_1175)) != sk_c11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_287167,c_287157]) ).

tff(c_287250,plain,
    ( ( multiply(sk_c1,sk_c1) != sk_c11 )
    | ( multiply(sk_c11,inverse(sk_c11)) != sk_c11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_287186,c_287248]) ).

tff(c_287263,plain,
    sk_c11 != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_285401,c_287186,c_287171,c_287250]) ).

tff(c_287323,plain,
    ! [X_1176,Z_1177] : ( multiply(inverse(X_1176),multiply(X_1176,Z_1177)) = Z_1177 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_285531]) ).

tff(c_287383,plain,
    multiply(inverse(sk_c5),sk_c5) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_285559,c_287323]) ).

tff(c_287429,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_287383]) ).

tff(c_287431,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_287263,c_287429]) ).

tff(c_287432,plain,
    ! [X3_8] :
      ( ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 ) ),
    inference(splitRight,[status(thm)],[c_287063]) ).

tff(c_287523,plain,
    ! [X3_1178] :
      ( ( multiply(X3_1178,sk_c1) != sk_c11 )
      | ( inverse(X3_1178) != sk_c11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_287442,c_287432]) ).

tff(c_287529,plain,
    inverse(sk_c1) != sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_287446,c_287523]) ).

tff(c_287548,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_285397,c_287529]) ).

tff(c_287549,plain,
    multiply(sk_c6,sk_c10) = sk_c11,
    inference(splitRight,[status(thm)],[c_36]) ).

tff(c_287664,plain,
    ! [Z_1181] : ( multiply(sk_c11,multiply(sk_c6,Z_1181)) = multiply(identity,Z_1181) ),
    inference(superposition,[status(thm),theory(equality)],[c_285372,c_287628]) ).

tff(c_287864,plain,
    ! [Z_1189] : ( multiply(sk_c11,multiply(sk_c6,Z_1189)) = Z_1189 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_287664]) ).

tff(c_287879,plain,
    multiply(sk_c11,sk_c11) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_287549,c_287864]) ).

tff(c_122,plain,
    ( ( multiply(sk_c8,sk_c11) = sk_c10 )
    | ( inverse(sk_c2) = sk_c11 ) ),
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_287584,plain,
    multiply(sk_c8,sk_c11) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_285330,c_122]) ).

tff(c_287646,plain,
    ! [Z_1181] : ( multiply(sk_c8,multiply(sk_c11,Z_1181)) = multiply(sk_c10,Z_1181) ),
    inference(superposition,[status(thm),theory(equality)],[c_287584,c_287628]) ).

tff(c_287886,plain,
    multiply(sk_c8,sk_c10) = multiply(sk_c10,sk_c11),
    inference(superposition,[status(thm),theory(equality)],[c_287879,c_287646]) ).

tff(c_287892,plain,
    sk_c8 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_287837,c_285346,c_287886]) ).

tff(c_287895,plain,
    multiply(identity,sk_c10) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_287892,c_287892,c_287837]) ).

tff(c_287918,plain,
    sk_c10 = identity,
    inference(superposition,[status(thm),theory(equality)],[c_287895,c_2]) ).

tff(c_287562,plain,
    multiply(sk_c9,sk_c11) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_285330,c_126]) ).

tff(c_287667,plain,
    ! [Z_1181] : ( multiply(sk_c10,multiply(sk_c9,Z_1181)) = multiply(identity,Z_1181) ),
    inference(superposition,[status(thm),theory(equality)],[c_285358,c_287628]) ).

tff(c_287714,plain,
    ! [Z_1183] : ( multiply(sk_c10,multiply(sk_c9,Z_1183)) = Z_1183 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_287667]) ).

tff(c_287726,plain,
    multiply(sk_c10,sk_c10) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_287562,c_287714]) ).

tff(c_288023,plain,
    multiply(identity,identity) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_287918,c_287918,c_287726]) ).

tff(c_288033,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_288023]) ).

tff(c_287929,plain,
    multiply(identity,identity) = sk_c11,
    inference(demodulation,[status(thm),theory(equality)],[c_287918,c_287918,c_287726]) ).

tff(c_287939,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_287929]) ).

tff(c_287937,plain,
    inverse(sk_c11) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_287918,c_285342]) ).

tff(c_288008,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_287939,c_287937]) ).

tff(c_287731,plain,
    ! [X2_12,X7_10,X3_8,X9_9,X4_14,X6_7] :
      ( ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 )
      | ( multiply(X4_14,sk_c10) != sk_c11 )
      | ( inverse(X4_14) != sk_c11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_285342,c_128]) ).

tff(c_287786,plain,
    ! [X4_1186] :
      ( ( multiply(X4_1186,sk_c10) != sk_c11 )
      | ( inverse(X4_1186) != sk_c11 ) ),
    inference(splitLeft,[status(thm)],[c_287731]) ).

tff(c_287802,plain,
    inverse(sk_c6) != sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_287549,c_287786]) ).

tff(c_287816,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_285368,c_287802]) ).

tff(c_287817,plain,
    ! [X2_12,X7_10,X3_8,X9_9,X6_7] :
      ( ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_287731]) ).

tff(c_287926,plain,
    ! [X9_9] :
      ( ( multiply(X9_9,sk_c11) != sk_c10 )
      | ( inverse(X9_9) != sk_c10 ) ),
    inference(splitLeft,[status(thm)],[c_287817]) ).

tff(c_287986,plain,
    ! [X9_1190] :
      ( ( multiply(X9_1190,identity) != identity )
      | ( inverse(X9_1190) != identity ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_287918,c_287939,c_287918,c_287926]) ).

tff(c_288000,plain,
    inverse(identity) != identity,
    inference(superposition,[status(thm),theory(equality)],[c_2,c_287986]) ).

tff(c_288019,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_288008,c_288000]) ).

tff(c_288020,plain,
    ! [X7_10,X3_8,X2_12,X6_7] :
      ( ( multiply(inverse(X7_10),sk_c11) != sk_c10 )
      | ( multiply(X7_10,inverse(X7_10)) != sk_c10 )
      | ( multiply(X3_8,sk_c10) != sk_c11 )
      | ( inverse(X3_8) != sk_c11 )
      | ( multiply(inverse(X2_12),sk_c10) != sk_c11 )
      | ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
      | ( inverse(X6_7) != sk_c11 )
      | ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c10 ) ),
    inference(splitRight,[status(thm)],[c_287817]) ).

tff(c_288059,plain,
    ! [X7_10,X3_8,X2_12,X6_7] :
      ( ( multiply(inverse(X7_10),identity) != identity )
      | ( multiply(X7_10,inverse(X7_10)) != identity )
      | ( multiply(X3_8,identity) != identity )
      | ( inverse(X3_8) != identity )
      | ( multiply(inverse(X2_12),identity) != identity )
      | ( multiply(X2_12,inverse(X2_12)) != identity )
      | ( inverse(X6_7) != identity )
      | ( multiply(X6_7,identity) != identity ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_288033,c_2,c_288033,c_287918,c_288033,c_288033,c_288033,c_287918,c_288033,c_288033,c_287918,c_287918,c_288033,c_287918,c_288020]) ).

tff(c_288060,plain,
    ! [X6_7] :
      ( ( inverse(X6_7) != identity )
      | ( multiply(X6_7,identity) != identity ) ),
    inference(splitLeft,[status(thm)],[c_288059]) ).

tff(c_288739,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_288366,c_288060]) ).

tff(c_288031,plain,
    inverse(sk_c11) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_287918,c_285342]) ).

tff(c_288050,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_288033,c_288031]) ).

tff(c_288741,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_288739,c_288050]) ).

tff(c_288742,plain,
    ! [X2_12,X3_8,X7_10] :
      ( ( multiply(inverse(X2_12),identity) != identity )
      | ( multiply(X2_12,inverse(X2_12)) != identity )
      | ( multiply(X3_8,identity) != identity )
      | ( inverse(X3_8) != identity )
      | ( multiply(inverse(X7_10),identity) != identity )
      | ( multiply(X7_10,inverse(X7_10)) != identity ) ),
    inference(splitRight,[status(thm)],[c_288059]) ).

tff(c_511378,plain,
    ! [X2_12,X3_8,X7_10] :
      ( ( inverse(X2_12) != identity )
      | ( identity != X3_8 )
      | ( inverse(X3_8) != identity )
      | ( inverse(X7_10) != identity ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_289050,c_289036,c_289036,c_289050,c_289036,c_288742]) ).

tff(c_511379,plain,
    ! [X7_10] : ( inverse(X7_10) != identity ),
    inference(splitLeft,[status(thm)],[c_511378]) ).

tff(c_511381,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_511379,c_288050]) ).

tff(c_511382,plain,
    ! [X2_12,X3_8] :
      ( ( inverse(X2_12) != identity )
      | ( identity != X3_8 )
      | ( inverse(X3_8) != identity ) ),
    inference(splitRight,[status(thm)],[c_511378]) ).

tff(c_511384,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_511382]) ).

tff(c_511386,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_511384,c_288050]) ).

tff(c_511387,plain,
    ! [X2_12] : ( inverse(X2_12) != identity ),
    inference(splitRight,[status(thm)],[c_511382]) ).

tff(c_515410,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_511387,c_288050]) ).

tff(c_515411,plain,
    inverse(sk_c4) = sk_c5,
    inference(splitRight,[status(thm)],[c_10]) ).

tff(c_515416,plain,
    multiply(sk_c5,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_515411,c_4]) ).

tff(c_515549,plain,
    ! [X_1800,Y_1801,Z_1802] : ( multiply(multiply(X_1800,Y_1801),Z_1802) = multiply(X_1800,multiply(Y_1801,Z_1802)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_515591,plain,
    ! [Z_1802] : ( multiply(sk_c5,multiply(sk_c4,Z_1802)) = multiply(identity,Z_1802) ),
    inference(superposition,[status(thm),theory(equality)],[c_515416,c_515549]) ).

tff(c_515635,plain,
    ! [Z_1804] : ( multiply(sk_c5,multiply(sk_c4,Z_1804)) = Z_1804 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_515591]) ).

tff(c_515647,plain,
    multiply(sk_c5,sk_c11) = sk_c5,
    inference(superposition,[status(thm),theory(equality)],[c_515489,c_515635]) ).

tff(c_515597,plain,
    ! [X_2,Z_1802] : ( multiply(inverse(X_2),multiply(X_2,Z_1802)) = multiply(identity,Z_1802) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_515549]) ).

tff(c_515697,plain,
    ! [X_1807,Z_1808] : ( multiply(inverse(X_1807),multiply(X_1807,Z_1808)) = Z_1808 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_515597]) ).

tff(c_515724,plain,
    multiply(inverse(sk_c5),sk_c5) = sk_c11,
    inference(superposition,[status(thm),theory(equality)],[c_515647,c_515697]) ).

tff(c_515795,plain,
    sk_c11 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_515724]) ).

tff(c_515471,plain,
    multiply(sk_c7,sk_c8) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_285330,c_118]) ).

tff(c_515594,plain,
    ! [Z_1802] : ( multiply(sk_c8,multiply(sk_c7,Z_1802)) = multiply(identity,Z_1802) ),
    inference(superposition,[status(thm),theory(equality)],[c_285334,c_515549]) ).

tff(c_515658,plain,
    ! [Z_1805] : ( multiply(sk_c8,multiply(sk_c7,Z_1805)) = Z_1805 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_515594]) ).

tff(c_515670,plain,
    multiply(sk_c8,sk_c10) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_515471,c_515658]) ).

tff(c_515718,plain,
    multiply(inverse(sk_c8),sk_c8) = sk_c10,
    inference(superposition,[status(thm),theory(equality)],[c_515670,c_515697]) ).

tff(c_515794,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_515718]) ).

tff(c_515412,plain,
    inverse(sk_c11) != sk_c10,
    inference(splitRight,[status(thm)],[c_10]) ).

tff(c_515814,plain,
    inverse(sk_c11) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_515794,c_515412]) ).

tff(c_515879,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_515795,c_515814]) ).

tff(c_24,plain,
    ( ( inverse(sk_c9) = sk_c10 )
    | ( inverse(sk_c11) = sk_c10 ) ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_515450,plain,
    inverse(sk_c9) = sk_c10,
    inference(negUnitSimplification,[status(thm)],[c_515412,c_24]) ).

tff(c_515813,plain,
    inverse(sk_c9) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_515794,c_515450]) ).

tff(c_515886,plain,
    multiply(identity,sk_c9) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_515813,c_4]) ).

tff(c_515610,plain,
    ! [X_2,Z_1802] : ( multiply(inverse(X_2),multiply(X_2,Z_1802)) = Z_1802 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_515597]) ).

tff(c_515949,plain,
    multiply(inverse(identity),identity) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_515886,c_515610]) ).

tff(c_515961,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_515949]) ).

tff(c_515965,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_515961,c_515813]) ).

tff(c_515968,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_515879,c_515965]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP238-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 22:02:46 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 111.79/93.00  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 112.10/93.08  
% 112.10/93.08  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 112.10/93.16  
% 112.10/93.16  Inference rules
% 112.10/93.16  ----------------------
% 112.10/93.16  #Ref     : 0
% 112.10/93.16  #Sup     : 122509
% 112.10/93.16  #Fact    : 0
% 112.10/93.16  #Define  : 0
% 112.10/93.16  #Split   : 51
% 112.10/93.16  #Chain   : 0
% 112.10/93.16  #Close   : 0
% 112.10/93.16  
% 112.10/93.16  Ordering : KBO
% 112.10/93.16  
% 112.10/93.16  Simplification rules
% 112.10/93.16  ----------------------
% 112.10/93.16  #Subsume      : 25
% 112.10/93.16  #Demod        : 725272
% 112.10/93.16  #Tautology    : 98822
% 112.10/93.16  #SimpNegUnit  : 167
% 112.10/93.16  #BackRed      : 884
% 112.10/93.16  
% 112.10/93.16  #Partial instantiations: 0
% 112.10/93.16  #Strategies tried      : 1
% 112.10/93.16  
% 112.10/93.16  Timing (in seconds)
% 112.10/93.16  ----------------------
% 112.10/93.17  Preprocessing        : 0.57
% 112.10/93.17  Parsing              : 0.20
% 112.10/93.17  CNF conversion       : 0.03
% 112.10/93.17  Main loop            : 91.39
% 112.10/93.17  Inferencing          : 15.70
% 112.10/93.17  Reduction            : 67.13
% 112.10/93.17  Demodulation         : 64.93
% 112.10/93.17  BG Simplification    : 1.04
% 112.10/93.17  Subsumption          : 6.04
% 112.10/93.17  Abstraction          : 4.98
% 112.10/93.17  MUC search           : 0.00
% 112.10/93.17  Cooper               : 0.00
% 112.10/93.17  Total                : 92.14
% 112.10/93.17  Index Insertion      : 0.00
% 112.10/93.17  Index Deletion       : 0.00
% 112.10/93.17  Index Matching       : 0.00
% 112.10/93.17  BG Taut test         : 0.00
%------------------------------------------------------------------------------