%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP313-1 : 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 : n025.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 10:40:53 EDT 2023

% Result   : Unsatisfiable 42.30s 30.83s
% Output   : CNFRefutation 42.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  600 ( 474 unt;  12 typ;   0 def)
%            Number of atoms       :  996 ( 955 equ)
%            Maximal formula atoms :   14 (   1 avg)
%            Number of connectives :  857 ( 449   ~; 408   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   3 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    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :  386 (; 386   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > 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_c8,type,
    sk_c8: $i ).

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

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

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

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

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

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

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

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

tff(f_179,axiom,
    ( ( multiply(sk_c3,sk_c8) = sk_c9 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_200,axiom,
    ( ( inverse(sk_c3) = sk_c8 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_71,axiom,
    ( ( multiply(sk_c8,sk_c9) = sk_c7 )
    | ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
    file(unknown,unknown) ).

tff(f_110,axiom,
    ( ( inverse(sk_c1) = sk_c9 )
    | ( inverse(sk_c4) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_83,axiom,
    ( ( multiply(sk_c8,sk_c9) = sk_c7 )
    | ( inverse(sk_c6) = sk_c7 ) ),
    file(unknown,unknown) ).

tff(f_95,axiom,
    ( ( multiply(sk_c1,sk_c9) = sk_c8 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_167,axiom,
    ( ( inverse(sk_c2) = sk_c8 )
    | ( inverse(sk_c6) = sk_c7 ) ),
    file(unknown,unknown) ).

tff(f_74,axiom,
    ( ( multiply(sk_c8,sk_c9) = sk_c7 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_137,axiom,
    ( ( multiply(sk_c2,sk_c8) = sk_c7 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_251,axiom,
    ! [X5,X6,X3,X1,X2,X4] :
      ( ( multiply(sk_c8,sk_c9) != sk_c7 )
      | ( multiply(X4,sk_c9) != sk_c8 )
      | ( inverse(X4) != sk_c9 )
      | ( multiply(X5,sk_c8) != sk_c7 )
      | ( inverse(X5) != sk_c8 )
      | ( multiply(X6,sk_c8) != sk_c9 )
      | ( inverse(X6) != sk_c8 )
      | ( multiply(X1,sk_c9) != sk_c8 )
      | ( inverse(X1) != sk_c9 )
      | ( multiply(X2,sk_c8) != sk_c7 )
      | ( inverse(X2) != sk_c8 )
      | ( multiply(sk_c7,sk_c9) != sk_c8 )
      | ( multiply(X3,sk_c7) != sk_c9 )
      | ( inverse(X3) != sk_c7 ) ),
    file(unknown,unknown) ).

tff(f_77,axiom,
    ( ( multiply(sk_c8,sk_c9) = sk_c7 )
    | ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_80,axiom,
    ( ( multiply(sk_c8,sk_c9) = sk_c7 )
    | ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_89,axiom,
    ( ( multiply(sk_c1,sk_c9) = sk_c8 )
    | ( inverse(sk_c4) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_86,axiom,
    ( ( multiply(sk_c1,sk_c9) = sk_c8 )
    | ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_101,axiom,
    ( ( multiply(sk_c1,sk_c9) = sk_c8 )
    | ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_104,axiom,
    ( ( multiply(sk_c1,sk_c9) = sk_c8 )
    | ( inverse(sk_c6) = sk_c7 ) ),
    file(unknown,unknown) ).

tff(f_185,axiom,
    ( ( multiply(sk_c3,sk_c8) = sk_c9 )
    | ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_188,axiom,
    ( ( multiply(sk_c3,sk_c8) = sk_c9 )
    | ( inverse(sk_c6) = sk_c7 ) ),
    file(unknown,unknown) ).

tff(f_182,axiom,
    ( ( multiply(sk_c3,sk_c8) = sk_c9 )
    | ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_170,axiom,
    ( ( multiply(sk_c3,sk_c8) = sk_c9 )
    | ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_164,axiom,
    ( ( inverse(sk_c2) = sk_c8 )
    | ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_161,axiom,
    ( ( inverse(sk_c2) = sk_c8 )
    | ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_149,axiom,
    ( ( inverse(sk_c2) = sk_c8 )
    | ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_152,axiom,
    ( ( inverse(sk_c2) = sk_c8 )
    | ( inverse(sk_c4) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_155,axiom,
    ( ( inverse(sk_c2) = sk_c8 )
    | ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
    file(unknown,unknown) ).

tff(f_158,axiom,
    ( ( inverse(sk_c2) = sk_c8 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_122,axiom,
    ( ( inverse(sk_c1) = sk_c9 )
    | ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_125,axiom,
    ( ( inverse(sk_c1) = sk_c9 )
    | ( inverse(sk_c6) = sk_c7 ) ),
    file(unknown,unknown) ).

tff(f_119,axiom,
    ( ( inverse(sk_c1) = sk_c9 )
    | ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_107,axiom,
    ( ( inverse(sk_c1) = sk_c9 )
    | ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_116,axiom,
    ( ( inverse(sk_c1) = sk_c9 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_206,axiom,
    ( ( inverse(sk_c3) = sk_c8 )
    | ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_209,axiom,
    ( ( inverse(sk_c3) = sk_c8 )
    | ( inverse(sk_c6) = sk_c7 ) ),
    file(unknown,unknown) ).

tff(f_203,axiom,
    ( ( inverse(sk_c3) = sk_c8 )
    | ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_197,axiom,
    ( ( inverse(sk_c3) = sk_c8 )
    | ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
    file(unknown,unknown) ).

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

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

tff(c_208904,plain,
    ! [X_1141,Y_1142,Z_1143] : ( multiply(multiply(X_1141,Y_1142),Z_1143) = multiply(X_1141,multiply(Y_1142,Z_1143)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_208943,plain,
    ! [X_2,Z_1143] : ( multiply(inverse(X_2),multiply(X_2,Z_1143)) = multiply(identity,Z_1143) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_208904]) ).

tff(c_209827,plain,
    ! [X_1158,Z_1159] : ( multiply(inverse(X_1158),multiply(X_1158,Z_1159)) = Z_1159 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_208943]) ).

tff(c_208955,plain,
    ! [X_2,Z_1143] : ( multiply(inverse(X_2),multiply(X_2,Z_1143)) = Z_1143 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_208943]) ).

tff(c_210125,plain,
    ! [X_1161,Z_1162] : ( multiply(inverse(inverse(X_1161)),Z_1162) = multiply(X_1161,Z_1162) ),
    inference(superposition,[status(thm),theory(equality)],[c_209827,c_208955]) ).

tff(c_209890,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_209827]) ).

tff(c_210132,plain,
    ! [X_1161] : ( multiply(X_1161,identity) = X_1161 ),
    inference(superposition,[status(thm),theory(equality)],[c_210125,c_209890]) ).

tff(c_182015,plain,
    ! [X_940,Y_941,Z_942] : ( multiply(multiply(X_940,Y_941),Z_942) = multiply(X_940,multiply(Y_941,Z_942)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_182057,plain,
    ! [X_2,Z_942] : ( multiply(inverse(X_2),multiply(X_2,Z_942)) = multiply(identity,Z_942) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_182015]) ).

tff(c_183064,plain,
    ! [X_962,Z_963] : ( multiply(inverse(X_962),multiply(X_962,Z_963)) = Z_963 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_182057]) ).

tff(c_182070,plain,
    ! [X_2,Z_942] : ( multiply(inverse(X_2),multiply(X_2,Z_942)) = Z_942 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_182057]) ).

tff(c_183396,plain,
    ! [X_965,Z_966] : ( multiply(inverse(inverse(X_965)),Z_966) = multiply(X_965,Z_966) ),
    inference(superposition,[status(thm),theory(equality)],[c_183064,c_182070]) ).

tff(c_183124,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_183064]) ).

tff(c_183403,plain,
    ! [X_965] : ( multiply(X_965,identity) = X_965 ),
    inference(superposition,[status(thm),theory(equality)],[c_183396,c_183124]) ).

tff(c_45166,plain,
    ! [X_459,Y_460,Z_461] : ( multiply(multiply(X_459,Y_460),Z_461) = multiply(X_459,multiply(Y_460,Z_461)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_45208,plain,
    ! [X_2,Z_461] : ( multiply(inverse(X_2),multiply(X_2,Z_461)) = multiply(identity,Z_461) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_45166]) ).

tff(c_46193,plain,
    ! [X_480,Z_481] : ( multiply(inverse(X_480),multiply(X_480,Z_481)) = Z_481 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_45208]) ).

tff(c_45221,plain,
    ! [X_2,Z_461] : ( multiply(inverse(X_2),multiply(X_2,Z_461)) = Z_461 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_45208]) ).

tff(c_46553,plain,
    ! [X_484,Z_485] : ( multiply(inverse(inverse(X_484)),Z_485) = multiply(X_484,Z_485) ),
    inference(superposition,[status(thm),theory(equality)],[c_46193,c_45221]) ).

tff(c_46241,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_46193]) ).

tff(c_46560,plain,
    ! [X_484] : ( multiply(X_484,identity) = X_484 ),
    inference(superposition,[status(thm),theory(equality)],[c_46553,c_46241]) ).

tff(c_28962,plain,
    ! [X_296,Y_297,Z_298] : ( multiply(multiply(X_296,Y_297),Z_298) = multiply(X_296,multiply(Y_297,Z_298)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_29004,plain,
    ! [X_2,Z_298] : ( multiply(inverse(X_2),multiply(X_2,Z_298)) = multiply(identity,Z_298) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_28962]) ).

tff(c_29017,plain,
    ! [X_2,Z_298] : ( multiply(inverse(X_2),multiply(X_2,Z_298)) = Z_298 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_29004]) ).

tff(c_30269,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_29004]) ).

tff(c_30614,plain,
    ! [X_331,Z_332] : ( multiply(inverse(inverse(X_331)),Z_332) = multiply(X_331,Z_332) ),
    inference(superposition,[status(thm),theory(equality)],[c_29017,c_30269]) ).

tff(c_30332,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_30269]) ).

tff(c_30621,plain,
    ! [X_331] : ( multiply(X_331,identity) = X_331 ),
    inference(superposition,[status(thm),theory(equality)],[c_30614,c_30332]) ).

tff(c_84,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( multiply(sk_c3,sk_c8) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_179]) ).

tff(c_165,plain,
    multiply(sk_c3,sk_c8) = sk_c9,
    inference(splitLeft,[status(thm)],[c_84]) ).

tff(c_98,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( inverse(sk_c3) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_200]) ).

tff(c_123,plain,
    inverse(sk_c3) = sk_c8,
    inference(splitLeft,[status(thm)],[c_98]) ).

tff(c_127,plain,
    multiply(sk_c8,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_123,c_4]) ).

tff(c_27083,plain,
    ! [X_255,Y_256,Z_257] : ( multiply(multiply(X_255,Y_256),Z_257) = multiply(X_255,multiply(Y_256,Z_257)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_27128,plain,
    ! [Z_257] : ( multiply(sk_c8,multiply(sk_c3,Z_257)) = multiply(identity,Z_257) ),
    inference(superposition,[status(thm),theory(equality)],[c_127,c_27083]) ).

tff(c_27173,plain,
    ! [Z_260] : ( multiply(sk_c8,multiply(sk_c3,Z_260)) = Z_260 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_27128]) ).

tff(c_27185,plain,
    multiply(sk_c8,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_165,c_27173]) ).

tff(c_12,plain,
    ( ( multiply(sk_c5,sk_c8) = sk_c7 )
    | ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_26329,plain,
    multiply(sk_c8,sk_c9) = sk_c7,
    inference(splitLeft,[status(thm)],[c_12]) ).

tff(c_26365,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_26413,plain,
    ! [Z_245] : ( multiply(sk_c8,multiply(sk_c3,Z_245)) = multiply(identity,Z_245) ),
    inference(superposition,[status(thm),theory(equality)],[c_127,c_26365]) ).

tff(c_26554,plain,
    ! [Z_248] : ( multiply(sk_c8,multiply(sk_c3,Z_248)) = Z_248 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_26413]) ).

tff(c_26566,plain,
    multiply(sk_c8,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_165,c_26554]) ).

tff(c_26570,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_26329,c_26566]) ).

tff(c_26669,plain,
    multiply(sk_c7,sk_c9) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_26570,c_26329]) ).

tff(c_26416,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_26365]) ).

tff(c_26788,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_26416]) ).

tff(c_26824,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_26669,c_26788]) ).

tff(c_26875,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_26824]) ).

tff(c_38,plain,
    ( ( inverse(sk_c4) = sk_c9 )
    | ( inverse(sk_c1) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_110]) ).

tff(c_135,plain,
    inverse(sk_c1) = sk_c9,
    inference(splitLeft,[status(thm)],[c_38]) ).

tff(c_26889,plain,
    inverse(sk_c1) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_26875,c_135]) ).

tff(c_26900,plain,
    multiply(identity,sk_c1) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_26889,c_4]) ).

tff(c_26430,plain,
    ! [X_2,Z_245] : ( multiply(inverse(X_2),multiply(X_2,Z_245)) = Z_245 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_26416]) ).

tff(c_26917,plain,
    multiply(inverse(identity),identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_26900,c_26430]) ).

tff(c_26929,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_26917]) ).

tff(c_25980,plain,
    ! [X_234,Y_235,Z_236] : ( multiply(multiply(X_234,Y_235),Z_236) = multiply(X_234,multiply(Y_235,Z_236)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_26028,plain,
    ! [Z_236] : ( multiply(sk_c8,multiply(sk_c3,Z_236)) = multiply(identity,Z_236) ),
    inference(superposition,[status(thm),theory(equality)],[c_127,c_25980]) ).

tff(c_26062,plain,
    ! [Z_238] : ( multiply(sk_c8,multiply(sk_c3,Z_238)) = Z_238 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_26028]) ).

tff(c_26074,plain,
    multiply(sk_c8,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_165,c_26062]) ).

tff(c_20,plain,
    ( ( inverse(sk_c6) = sk_c7 )
    | ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_24977,plain,
    multiply(sk_c8,sk_c9) = sk_c7,
    inference(splitLeft,[status(thm)],[c_20]) ).

tff(c_25041,plain,
    ! [X_222,Y_223,Z_224] : ( multiply(multiply(X_222,Y_223),Z_224) = multiply(X_222,multiply(Y_223,Z_224)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_25092,plain,
    ! [Z_224] : ( multiply(sk_c8,multiply(sk_c3,Z_224)) = multiply(identity,Z_224) ),
    inference(superposition,[status(thm),theory(equality)],[c_127,c_25041]) ).

tff(c_25273,plain,
    ! [Z_229] : ( multiply(sk_c8,multiply(sk_c3,Z_229)) = Z_229 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_25092]) ).

tff(c_25285,plain,
    multiply(sk_c8,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_165,c_25273]) ).

tff(c_25289,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_24977,c_25285]) ).

tff(c_28,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_95]) ).

tff(c_172,plain,
    multiply(sk_c1,sk_c9) = sk_c8,
    inference(splitLeft,[status(thm)],[c_28]) ).

tff(c_139,plain,
    multiply(sk_c9,sk_c1) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_135,c_4]) ).

tff(c_25089,plain,
    ! [Z_224] : ( multiply(sk_c9,multiply(sk_c1,Z_224)) = multiply(identity,Z_224) ),
    inference(superposition,[status(thm),theory(equality)],[c_139,c_25041]) ).

tff(c_25124,plain,
    ! [Z_226] : ( multiply(sk_c9,multiply(sk_c1,Z_226)) = Z_226 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_25089]) ).

tff(c_25136,plain,
    multiply(sk_c9,sk_c8) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_172,c_25124]) ).

tff(c_25388,plain,
    multiply(sk_c9,sk_c7) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_25289,c_25136]) ).

tff(c_25095,plain,
    ! [X_2,Z_224] : ( multiply(inverse(X_2),multiply(X_2,Z_224)) = multiply(identity,Z_224) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_25041]) ).

tff(c_25503,plain,
    ! [X_231,Z_232] : ( multiply(inverse(X_231),multiply(X_231,Z_232)) = Z_232 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_25095]) ).

tff(c_25521,plain,
    multiply(inverse(sk_c9),sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_25388,c_25503]) ).

tff(c_25591,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_25521]) ).

tff(c_76,plain,
    ( ( inverse(sk_c6) = sk_c7 )
    | ( inverse(sk_c2) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_167]) ).

tff(c_148,plain,
    inverse(sk_c2) = sk_c8,
    inference(splitLeft,[status(thm)],[c_76]) ).

tff(c_152,plain,
    multiply(sk_c8,sk_c2) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_148,c_4]) ).

tff(c_25399,plain,
    multiply(sk_c7,sk_c2) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_25289,c_152]) ).

tff(c_25617,plain,
    multiply(identity,sk_c2) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_25591,c_25399]) ).

tff(c_25109,plain,
    ! [X_2,Z_224] : ( multiply(inverse(X_2),multiply(X_2,Z_224)) = Z_224 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_25095]) ).

tff(c_25891,plain,
    multiply(inverse(identity),identity) = sk_c2,
    inference(superposition,[status(thm),theory(equality)],[c_25617,c_25109]) ).

tff(c_25903,plain,
    sk_c2 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_25891]) ).

tff(c_24689,plain,
    ! [X_213,Y_214,Z_215] : ( multiply(multiply(X_213,Y_214),Z_215) = multiply(X_213,multiply(Y_214,Z_215)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_24740,plain,
    ! [Z_215] : ( multiply(sk_c8,multiply(sk_c3,Z_215)) = multiply(identity,Z_215) ),
    inference(superposition,[status(thm),theory(equality)],[c_127,c_24689]) ).

tff(c_24807,plain,
    ! [Z_218] : ( multiply(sk_c8,multiply(sk_c3,Z_218)) = Z_218 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_24740]) ).

tff(c_24819,plain,
    multiply(sk_c8,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_165,c_24807]) ).

tff(c_221,plain,
    ! [X_14,Y_15,Z_16] : ( multiply(multiply(X_14,Y_15),Z_16) = multiply(X_14,multiply(Y_15,Z_16)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_257,plain,
    ! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = multiply(identity,Z_16) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_221]) ).

tff(c_268,plain,
    ! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = Z_16 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_257]) ).

tff(c_1167,plain,
    ! [X_37,Z_38] : ( multiply(inverse(X_37),multiply(X_37,Z_38)) = Z_38 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_257]) ).

tff(c_1501,plain,
    ! [X_41,Z_42] : ( multiply(inverse(inverse(X_41)),Z_42) = multiply(X_41,Z_42) ),
    inference(superposition,[status(thm),theory(equality)],[c_268,c_1167]) ).

tff(c_1224,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_1167]) ).

tff(c_1508,plain,
    ! [X_41] : ( multiply(X_41,identity) = X_41 ),
    inference(superposition,[status(thm),theory(equality)],[c_1501,c_1224]) ).

tff(c_14,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_197,plain,
    multiply(sk_c8,sk_c9) = sk_c7,
    inference(splitLeft,[status(thm)],[c_14]) ).

tff(c_254,plain,
    ! [Z_16] : ( multiply(sk_c8,multiply(sk_c3,Z_16)) = multiply(identity,Z_16) ),
    inference(superposition,[status(thm),theory(equality)],[c_127,c_221]) ).

tff(c_293,plain,
    ! [Z_18] : ( multiply(sk_c8,multiply(sk_c3,Z_18)) = Z_18 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_254]) ).

tff(c_305,plain,
    multiply(sk_c8,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_165,c_293]) ).

tff(c_309,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_197,c_305]) ).

tff(c_56,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_188,plain,
    multiply(sk_c2,sk_c8) = sk_c7,
    inference(splitLeft,[status(thm)],[c_56]) ).

tff(c_248,plain,
    ! [Z_16] : ( multiply(sk_c8,multiply(sk_c2,Z_16)) = multiply(identity,Z_16) ),
    inference(superposition,[status(thm),theory(equality)],[c_152,c_221]) ).

tff(c_270,plain,
    ! [Z_17] : ( multiply(sk_c8,multiply(sk_c2,Z_17)) = Z_17 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_248]) ).

tff(c_282,plain,
    multiply(sk_c8,sk_c7) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_188,c_270]) ).

tff(c_362,plain,
    multiply(sk_c7,sk_c7) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_309,c_309,c_282]) ).

tff(c_1188,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_362,c_1167]) ).

tff(c_1231,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_1188]) ).

tff(c_106,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
      ( ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 )
      | ( multiply(sk_c7,sk_c9) != sk_c8 )
      | ( inverse(X2_10) != sk_c8 )
      | ( multiply(X2_10,sk_c8) != sk_c7 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c8 )
      | ( inverse(X6_7) != sk_c8 )
      | ( multiply(X6_7,sk_c8) != sk_c9 )
      | ( inverse(X5_6) != sk_c8 )
      | ( multiply(X5_6,sk_c8) != sk_c7 )
      | ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c8 )
      | ( multiply(sk_c8,sk_c9) != sk_c7 ) ),
    inference(cnfTransformation,[status(thm)],[f_251]) ).

tff(c_311,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
      ( ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 )
      | ( multiply(sk_c7,sk_c9) != sk_c8 )
      | ( inverse(X2_10) != sk_c8 )
      | ( multiply(X2_10,sk_c8) != sk_c7 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c8 )
      | ( inverse(X6_7) != sk_c8 )
      | ( multiply(X6_7,sk_c8) != sk_c9 )
      | ( inverse(X5_6) != sk_c8 )
      | ( multiply(X5_6,sk_c8) != sk_c7 )
      | ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c8 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_197,c_106]) ).

tff(c_312,plain,
    multiply(sk_c7,sk_c9) != sk_c8,
    inference(splitLeft,[status(thm)],[c_311]) ).

tff(c_350,plain,
    multiply(sk_c7,sk_c9) != sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_309,c_312]) ).

tff(c_316,plain,
    multiply(sk_c7,sk_c9) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_309,c_197]) ).

tff(c_358,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_350,c_316]) ).

tff(c_360,plain,
    multiply(sk_c7,sk_c9) = sk_c8,
    inference(splitRight,[status(thm)],[c_311]) ).

tff(c_383,plain,
    multiply(sk_c7,sk_c9) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_309,c_360]) ).

tff(c_1209,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_383,c_1167]) ).

tff(c_1235,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_1209]) ).

tff(c_538,plain,
    ! [X_23,Z_24] : ( multiply(inverse(X_23),multiply(X_23,Z_24)) = Z_24 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_257]) ).

tff(c_885,plain,
    ! [X_29,Z_30] : ( multiply(inverse(inverse(X_29)),Z_30) = multiply(X_29,Z_30) ),
    inference(superposition,[status(thm),theory(equality)],[c_268,c_538]) ).

tff(c_610,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_538]) ).

tff(c_892,plain,
    ! [X_29] : ( multiply(X_29,identity) = X_29 ),
    inference(superposition,[status(thm),theory(equality)],[c_885,c_610]) ).

tff(c_574,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_362,c_538]) ).

tff(c_620,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_574]) ).

tff(c_595,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_383,c_538]) ).

tff(c_625,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_595]) ).

tff(c_359,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
      ( ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c8 )
      | ( inverse(X5_6) != sk_c8 )
      | ( multiply(X5_6,sk_c8) != sk_c7 )
      | ( inverse(X6_7) != sk_c8 )
      | ( multiply(X6_7,sk_c8) != sk_c9 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c8 )
      | ( inverse(X2_10) != sk_c8 )
      | ( multiply(X2_10,sk_c8) != sk_c7 )
      | ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_311]) ).

tff(c_444,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
      ( ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c7 )
      | ( inverse(X5_6) != sk_c7 )
      | ( multiply(X5_6,sk_c7) != sk_c7 )
      | ( inverse(X6_7) != sk_c7 )
      | ( multiply(X6_7,sk_c7) != sk_c9 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c7 )
      | ( inverse(X2_10) != sk_c7 )
      | ( multiply(X2_10,sk_c7) != sk_c7 )
      | ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_309,c_309,c_309,c_309,c_309,c_309,c_309,c_309,c_359]) ).

tff(c_445,plain,
    ! [X3_8] :
      ( ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 ) ),
    inference(splitLeft,[status(thm)],[c_444]) ).

tff(c_1146,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_892,c_620,c_625,c_620,c_445]) ).

tff(c_236,plain,
    ! [Z_16] : ( multiply(sk_c8,multiply(sk_c9,Z_16)) = multiply(sk_c7,Z_16) ),
    inference(superposition,[status(thm),theory(equality)],[c_197,c_221]) ).

tff(c_471,plain,
    ! [Z_20] : ( multiply(sk_c7,multiply(sk_c9,Z_20)) = multiply(sk_c7,Z_20) ),
    inference(demodulation,[status(thm),theory(equality)],[c_309,c_236]) ).

tff(c_489,plain,
    multiply(sk_c7,sk_c1) = multiply(sk_c7,identity),
    inference(superposition,[status(thm),theory(equality)],[c_139,c_471]) ).

tff(c_641,plain,
    multiply(identity,sk_c1) = multiply(identity,identity),
    inference(demodulation,[status(thm),theory(equality)],[c_620,c_620,c_489]) ).

tff(c_651,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_641]) ).

tff(c_635,plain,
    inverse(sk_c1) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_625,c_135]) ).

tff(c_703,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_651,c_635]) ).

tff(c_1148,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1146,c_703]) ).

tff(c_1149,plain,
    ! [X5_6,X2_10,X1_9,X4_11,X6_7] :
      ( ( inverse(X2_10) != sk_c7 )
      | ( multiply(X2_10,sk_c7) != sk_c7 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c7 )
      | ( inverse(X6_7) != sk_c7 )
      | ( multiply(X6_7,sk_c7) != sk_c9 )
      | ( inverse(X5_6) != sk_c7 )
      | ( multiply(X5_6,sk_c7) != sk_c7 )
      | ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c7 ) ),
    inference(splitRight,[status(thm)],[c_444]) ).

tff(c_8125,plain,
    ! [X5_6,X2_10,X1_9,X4_11,X6_7] :
      ( ( inverse(X2_10) != identity )
      | ( identity != X2_10 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X5_6) != identity )
      | ( identity != X5_6 )
      | ( inverse(X4_11) != identity )
      | ( identity != X4_11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1508,c_1231,c_1235,c_1235,c_1508,c_1231,c_1231,c_1231,c_1508,c_1231,c_1235,c_1231,c_1508,c_1231,c_1235,c_1235,c_1508,c_1231,c_1231,c_1231,c_1149]) ).

tff(c_8127,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_8125]) ).

tff(c_1241,plain,
    multiply(identity,sk_c1) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_1235,c_139]) ).

tff(c_1347,plain,
    multiply(inverse(identity),identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_1241,c_268]) ).

tff(c_1359,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_1347]) ).

tff(c_1242,plain,
    inverse(sk_c1) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_1235,c_135]) ).

tff(c_1363,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_1359,c_1242]) ).

tff(c_8129,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8127,c_1363]) ).

tff(c_8130,plain,
    ! [X5_6,X6_7,X1_9,X2_10] :
      ( ( inverse(X5_6) != identity )
      | ( identity != X5_6 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X2_10) != identity )
      | ( identity != X2_10 ) ),
    inference(splitRight,[status(thm)],[c_8125]) ).

tff(c_23832,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_8130]) ).

tff(c_23834,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_23832,c_1363]) ).

tff(c_23835,plain,
    ! [X1_9,X6_7,X5_6] :
      ( ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X5_6) != identity )
      | ( identity != X5_6 ) ),
    inference(splitRight,[status(thm)],[c_8130]) ).

tff(c_23845,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_23835]) ).

tff(c_23847,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_23845,c_1363]) ).

tff(c_23848,plain,
    ! [X6_7,X1_9] :
      ( ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 ) ),
    inference(splitRight,[status(thm)],[c_23835]) ).

tff(c_23850,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_23848]) ).

tff(c_23852,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_23850,c_1363]) ).

tff(c_24616,plain,
    inverse(identity) != identity,
    inference(splitRight,[status(thm)],[c_23848]) ).

tff(c_24618,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_24616,c_1363]) ).

tff(c_24620,plain,
    multiply(sk_c8,sk_c9) != sk_c7,
    inference(splitRight,[status(thm)],[c_14]) ).

tff(c_24823,plain,
    sk_c8 != sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_24819,c_24620]) ).

tff(c_16,plain,
    ( ( multiply(sk_c7,sk_c9) = sk_c8 )
    | ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_24668,plain,
    multiply(sk_c7,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_24620,c_16]) ).

tff(c_24632,plain,
    inverse(sk_c6) = sk_c7,
    inference(negUnitSimplification,[status(thm)],[c_24620,c_20]) ).

tff(c_18,plain,
    ( ( multiply(sk_c6,sk_c7) = sk_c9 )
    | ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
    inference(cnfTransformation,[status(thm)],[f_80]) ).

tff(c_24658,plain,
    multiply(sk_c6,sk_c7) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_24620,c_18]) ).

tff(c_24743,plain,
    ! [X_2,Z_215] : ( multiply(inverse(X_2),multiply(X_2,Z_215)) = multiply(identity,Z_215) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_24689]) ).

tff(c_24848,plain,
    ! [X_220,Z_221] : ( multiply(inverse(X_220),multiply(X_220,Z_221)) = Z_221 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_24743]) ).

tff(c_24899,plain,
    multiply(inverse(sk_c6),sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_24658,c_24848]) ).

tff(c_24959,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_24668,c_24632,c_24899]) ).

tff(c_24961,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_24823,c_24959]) ).

tff(c_24963,plain,
    multiply(sk_c2,sk_c8) != sk_c7,
    inference(splitRight,[status(thm)],[c_56]) ).

tff(c_25395,plain,
    multiply(sk_c2,sk_c7) != sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_25289,c_24963]) ).

tff(c_25615,plain,
    multiply(sk_c2,identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_25591,c_25591,c_25395]) ).

tff(c_25907,plain,
    multiply(identity,identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_25903,c_25615]) ).

tff(c_25912,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_25907]) ).

tff(c_25914,plain,
    multiply(sk_c8,sk_c9) != sk_c7,
    inference(splitRight,[status(thm)],[c_20]) ).

tff(c_26078,plain,
    sk_c8 != sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_26074,c_25914]) ).

tff(c_25964,plain,
    multiply(sk_c7,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_25914,c_16]) ).

tff(c_25913,plain,
    inverse(sk_c6) = sk_c7,
    inference(splitRight,[status(thm)],[c_20]) ).

tff(c_25944,plain,
    multiply(sk_c6,sk_c7) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_25914,c_18]) ).

tff(c_26031,plain,
    ! [X_2,Z_236] : ( multiply(inverse(X_2),multiply(X_2,Z_236)) = multiply(identity,Z_236) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_25980]) ).

tff(c_26159,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_26031]) ).

tff(c_26213,plain,
    multiply(inverse(sk_c6),sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_25944,c_26159]) ).

tff(c_26271,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_25964,c_25913,c_26213]) ).

tff(c_26273,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_26078,c_26271]) ).

tff(c_26275,plain,
    multiply(sk_c1,sk_c9) != sk_c8,
    inference(splitRight,[status(thm)],[c_28]) ).

tff(c_26671,plain,
    multiply(sk_c1,sk_c9) != sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_26570,c_26275]) ).

tff(c_26881,plain,
    multiply(sk_c1,identity) != sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_26875,c_26671]) ).

tff(c_27015,plain,
    sk_c7 != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_26929,c_26881]) ).

tff(c_24,plain,
    ( ( inverse(sk_c4) = sk_c9 )
    | ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_26305,plain,
    inverse(sk_c4) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_26275,c_24]) ).

tff(c_22,plain,
    ( ( multiply(sk_c4,sk_c9) = sk_c8 )
    | ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_86]) ).

tff(c_26339,plain,
    multiply(sk_c4,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_26275,c_22]) ).

tff(c_26667,plain,
    multiply(sk_c4,sk_c9) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_26570,c_26339]) ).

tff(c_26818,plain,
    multiply(inverse(sk_c4),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_26667,c_26788]) ).

tff(c_26874,plain,
    multiply(sk_c9,sk_c7) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_26305,c_26818]) ).

tff(c_27044,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_26875,c_2,c_26875,c_26874]) ).

tff(c_27045,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_27015,c_27044]) ).

tff(c_27047,plain,
    multiply(sk_c8,sk_c9) != sk_c7,
    inference(splitRight,[status(thm)],[c_12]) ).

tff(c_27191,plain,
    sk_c8 != sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_27185,c_27047]) ).

tff(c_32,plain,
    ( ( multiply(sk_c6,sk_c7) = sk_c9 )
    | ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_27052,plain,
    multiply(sk_c6,sk_c7) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_26275,c_32]) ).

tff(c_34,plain,
    ( ( inverse(sk_c6) = sk_c7 )
    | ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_104]) ).

tff(c_26290,plain,
    inverse(sk_c6) = sk_c7,
    inference(negUnitSimplification,[status(thm)],[c_26275,c_34]) ).

tff(c_26294,plain,
    multiply(sk_c7,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_26290,c_4]) ).

tff(c_27113,plain,
    ! [Z_257] : ( multiply(sk_c7,multiply(sk_c6,Z_257)) = multiply(identity,Z_257) ),
    inference(superposition,[status(thm),theory(equality)],[c_26294,c_27083]) ).

tff(c_27199,plain,
    ! [Z_261] : ( multiply(sk_c7,multiply(sk_c6,Z_261)) = Z_261 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_27113]) ).

tff(c_27211,plain,
    multiply(sk_c7,sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_27052,c_27199]) ).

tff(c_27058,plain,
    multiply(sk_c7,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_27047,c_16]) ).

tff(c_27250,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_27211,c_27058]) ).

tff(c_27252,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_27191,c_27250]) ).

tff(c_27254,plain,
    multiply(sk_c3,sk_c8) != sk_c9,
    inference(splitRight,[status(thm)],[c_84]) ).

tff(c_88,plain,
    ( ( multiply(sk_c6,sk_c7) = sk_c9 )
    | ( multiply(sk_c3,sk_c8) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_185]) ).

tff(c_27321,plain,
    multiply(sk_c6,sk_c7) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_27254,c_88]) ).

tff(c_90,plain,
    ( ( inverse(sk_c6) = sk_c7 )
    | ( multiply(sk_c3,sk_c8) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_27280,plain,
    inverse(sk_c6) = sk_c7,
    inference(negUnitSimplification,[status(thm)],[c_27254,c_90]) ).

tff(c_27284,plain,
    multiply(sk_c7,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_27280,c_4]) ).

tff(c_27356,plain,
    ! [X_263,Y_264,Z_265] : ( multiply(multiply(X_263,Y_264),Z_265) = multiply(X_263,multiply(Y_264,Z_265)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_27392,plain,
    ! [Z_265] : ( multiply(sk_c7,multiply(sk_c6,Z_265)) = multiply(identity,Z_265) ),
    inference(superposition,[status(thm),theory(equality)],[c_27284,c_27356]) ).

tff(c_27636,plain,
    ! [Z_272] : ( multiply(sk_c7,multiply(sk_c6,Z_272)) = Z_272 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_27392]) ).

tff(c_27648,plain,
    multiply(sk_c7,sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_27321,c_27636]) ).

tff(c_27410,plain,
    ! [X_2,Z_265] : ( multiply(inverse(X_2),multiply(X_2,Z_265)) = multiply(identity,Z_265) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_27356]) ).

tff(c_27743,plain,
    ! [X_273,Z_274] : ( multiply(inverse(X_273),multiply(X_273,Z_274)) = Z_274 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_27410]) ).

tff(c_27785,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_27648,c_27743]) ).

tff(c_27827,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_27785]) ).

tff(c_27839,plain,
    inverse(sk_c1) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_27827,c_135]) ).

tff(c_86,plain,
    ( ( multiply(sk_c7,sk_c9) = sk_c8 )
    | ( multiply(sk_c3,sk_c8) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_182]) ).

tff(c_27344,plain,
    multiply(sk_c7,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_27254,c_86]) ).

tff(c_27652,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_27648,c_27344]) ).

tff(c_27267,plain,
    multiply(sk_c1,sk_c9) = sk_c8,
    inference(splitLeft,[status(thm)],[c_24]) ).

tff(c_27668,plain,
    multiply(sk_c1,sk_c9) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_27652,c_27267]) ).

tff(c_27865,plain,
    multiply(sk_c1,identity) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_27827,c_27668]) ).

tff(c_27424,plain,
    ! [X_2,Z_265] : ( multiply(inverse(X_2),multiply(X_2,Z_265)) = Z_265 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_27410]) ).

tff(c_27869,plain,
    multiply(inverse(sk_c1),sk_c7) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_27865,c_27424]) ).

tff(c_27875,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_27839,c_27869]) ).

tff(c_27675,plain,
    inverse(sk_c3) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_27652,c_123]) ).

tff(c_27700,plain,
    multiply(sk_c7,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_27675,c_4]) ).

tff(c_27957,plain,
    sk_c3 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_27875,c_27700]) ).

tff(c_27670,plain,
    multiply(sk_c3,sk_c7) != sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_27652,c_27254]) ).

tff(c_27831,plain,
    multiply(sk_c3,sk_c7) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_27827,c_27670]) ).

tff(c_27991,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_27957,c_27875,c_27831]) ).

tff(c_27993,plain,
    multiply(sk_c1,sk_c9) != sk_c8,
    inference(splitRight,[status(thm)],[c_24]) ).

tff(c_28062,plain,
    multiply(sk_c6,sk_c7) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_27993,c_32]) ).

tff(c_28005,plain,
    inverse(sk_c6) = sk_c7,
    inference(negUnitSimplification,[status(thm)],[c_27993,c_34]) ).

tff(c_28009,plain,
    multiply(sk_c7,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_28005,c_4]) ).

tff(c_28080,plain,
    ! [X_276,Y_277,Z_278] : ( multiply(multiply(X_276,Y_277),Z_278) = multiply(X_276,multiply(Y_277,Z_278)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_28110,plain,
    ! [Z_278] : ( multiply(sk_c7,multiply(sk_c6,Z_278)) = multiply(identity,Z_278) ),
    inference(superposition,[status(thm),theory(equality)],[c_28009,c_28080]) ).

tff(c_28545,plain,
    ! [Z_293] : ( multiply(sk_c7,multiply(sk_c6,Z_293)) = Z_293 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28110]) ).

tff(c_28557,plain,
    multiply(sk_c7,sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_28062,c_28545]) ).

tff(c_28128,plain,
    ! [X_2,Z_278] : ( multiply(inverse(X_2),multiply(X_2,Z_278)) = multiply(identity,Z_278) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_28080]) ).

tff(c_28655,plain,
    ! [X_294,Z_295] : ( multiply(inverse(X_294),multiply(X_294,Z_295)) = Z_295 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28128]) ).

tff(c_28697,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_28557,c_28655]) ).

tff(c_28742,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_28697]) ).

tff(c_28072,plain,
    multiply(sk_c7,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_27254,c_86]) ).

tff(c_28561,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_28557,c_28072]) ).

tff(c_78,plain,
    ( ( multiply(sk_c4,sk_c9) = sk_c8 )
    | ( multiply(sk_c3,sk_c8) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_170]) ).

tff(c_28045,plain,
    multiply(sk_c4,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_27254,c_78]) ).

tff(c_27992,plain,
    inverse(sk_c4) = sk_c9,
    inference(splitRight,[status(thm)],[c_24]) ).

tff(c_27997,plain,
    multiply(sk_c9,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_27992,c_4]) ).

tff(c_28113,plain,
    ! [Z_278] : ( multiply(sk_c9,multiply(sk_c4,Z_278)) = multiply(identity,Z_278) ),
    inference(superposition,[status(thm),theory(equality)],[c_27997,c_28080]) ).

tff(c_28478,plain,
    ! [Z_291] : ( multiply(sk_c9,multiply(sk_c4,Z_291)) = Z_291 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28113]) ).

tff(c_28490,plain,
    multiply(sk_c9,sk_c8) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_28045,c_28478]) ).

tff(c_28572,plain,
    multiply(sk_c9,sk_c7) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_28561,c_28490]) ).

tff(c_28784,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_28742,c_2,c_28742,c_28572]) ).

tff(c_28585,plain,
    inverse(sk_c3) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_28561,c_123]) ).

tff(c_28603,plain,
    multiply(sk_c7,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_28585,c_4]) ).

tff(c_28846,plain,
    sk_c3 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28784,c_28603]) ).

tff(c_28580,plain,
    multiply(sk_c3,sk_c7) != sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_28561,c_27254]) ).

tff(c_28782,plain,
    multiply(sk_c3,sk_c7) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_28742,c_28580]) ).

tff(c_28785,plain,
    multiply(sk_c3,identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_28784,c_28782]) ).

tff(c_28865,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28846,c_28785]) ).

tff(c_28867,plain,
    inverse(sk_c2) != sk_c8,
    inference(splitRight,[status(thm)],[c_76]) ).

tff(c_74,plain,
    ( ( multiply(sk_c6,sk_c7) = sk_c9 )
    | ( inverse(sk_c2) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_164]) ).

tff(c_28914,plain,
    multiply(sk_c6,sk_c7) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_28867,c_74]) ).

tff(c_28866,plain,
    inverse(sk_c6) = sk_c7,
    inference(splitRight,[status(thm)],[c_76]) ).

tff(c_28871,plain,
    multiply(sk_c7,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_28866,c_4]) ).

tff(c_28995,plain,
    ! [Z_298] : ( multiply(sk_c7,multiply(sk_c6,Z_298)) = multiply(identity,Z_298) ),
    inference(superposition,[status(thm),theory(equality)],[c_28871,c_28962]) ).

tff(c_29370,plain,
    ! [Z_311] : ( multiply(sk_c7,multiply(sk_c6,Z_311)) = Z_311 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28995]) ).

tff(c_29382,plain,
    multiply(sk_c7,sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_28914,c_29370]) ).

tff(c_72,plain,
    ( ( multiply(sk_c7,sk_c9) = sk_c8 )
    | ( inverse(sk_c2) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_161]) ).

tff(c_28919,plain,
    multiply(sk_c7,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_28867,c_72]) ).

tff(c_29386,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_29382,c_28919]) ).

tff(c_64,plain,
    ( ( multiply(sk_c4,sk_c9) = sk_c8 )
    | ( inverse(sk_c2) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_149]) ).

tff(c_28935,plain,
    multiply(sk_c4,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_28867,c_64]) ).

tff(c_66,plain,
    ( ( inverse(sk_c4) = sk_c9 )
    | ( inverse(sk_c2) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_152]) ).

tff(c_28879,plain,
    inverse(sk_c4) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_28867,c_66]) ).

tff(c_28883,plain,
    multiply(sk_c9,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_28879,c_4]) ).

tff(c_28992,plain,
    ! [Z_298] : ( multiply(sk_c9,multiply(sk_c4,Z_298)) = multiply(identity,Z_298) ),
    inference(superposition,[status(thm),theory(equality)],[c_28883,c_28962]) ).

tff(c_29311,plain,
    ! [Z_309] : ( multiply(sk_c9,multiply(sk_c4,Z_309)) = Z_309 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28992]) ).

tff(c_29323,plain,
    multiply(sk_c9,sk_c8) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_28935,c_29311]) ).

tff(c_29396,plain,
    multiply(sk_c9,sk_c7) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_29386,c_29323]) ).

tff(c_30287,plain,
    multiply(inverse(sk_c9),sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_29396,c_30269]) ).

tff(c_30339,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_30287]) ).

tff(c_30296,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_29382,c_30269]) ).

tff(c_30340,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_30296]) ).

tff(c_29478,plain,
    ! [X_312,Z_313] : ( multiply(inverse(X_312),multiply(X_312,Z_313)) = Z_313 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_29004]) ).

tff(c_29866,plain,
    ! [X_317,Z_318] : ( multiply(inverse(inverse(X_317)),Z_318) = multiply(X_317,Z_318) ),
    inference(superposition,[status(thm),theory(equality)],[c_29478,c_29017]) ).

tff(c_29556,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_29478]) ).

tff(c_29873,plain,
    ! [X_317] : ( multiply(X_317,identity) = X_317 ),
    inference(superposition,[status(thm),theory(equality)],[c_29866,c_29556]) ).

tff(c_29520,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_29382,c_29478]) ).

tff(c_29567,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_29520]) ).

tff(c_68,plain,
    ( ( multiply(sk_c5,sk_c8) = sk_c7 )
    | ( inverse(sk_c2) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_155]) ).

tff(c_28927,plain,
    multiply(sk_c5,sk_c8) = sk_c7,
    inference(negUnitSimplification,[status(thm)],[c_28867,c_68]) ).

tff(c_70,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( inverse(sk_c2) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_158]) ).

tff(c_28891,plain,
    inverse(sk_c5) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_28867,c_70]) ).

tff(c_28895,plain,
    multiply(sk_c8,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_28891,c_4]) ).

tff(c_28989,plain,
    ! [Z_298] : ( multiply(sk_c8,multiply(sk_c5,Z_298)) = multiply(identity,Z_298) ),
    inference(superposition,[status(thm),theory(equality)],[c_28895,c_28962]) ).

tff(c_29147,plain,
    ! [Z_304] : ( multiply(sk_c8,multiply(sk_c5,Z_304)) = Z_304 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28989]) ).

tff(c_29159,plain,
    multiply(sk_c8,sk_c7) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_28927,c_29147]) ).

tff(c_29397,plain,
    multiply(sk_c7,sk_c7) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_29386,c_29386,c_29159]) ).

tff(c_29502,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_29397,c_29478]) ).

tff(c_29565,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_29502]) ).

tff(c_29090,plain,
    ! [Z_303] : ( multiply(sk_c7,multiply(sk_c6,Z_303)) = Z_303 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28995]) ).

tff(c_29108,plain,
    multiply(sk_c7,sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_28914,c_29090]) ).

tff(c_29112,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_29108,c_28919]) ).

tff(c_29046,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
      ( ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 )
      | ( inverse(X2_10) != sk_c8 )
      | ( multiply(X2_10,sk_c8) != sk_c7 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c8 )
      | ( inverse(X6_7) != sk_c8 )
      | ( multiply(X6_7,sk_c8) != sk_c9 )
      | ( inverse(X5_6) != sk_c8 )
      | ( multiply(X5_6,sk_c8) != sk_c7 )
      | ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c8 )
      | ( multiply(sk_c8,sk_c9) != sk_c7 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_28919,c_106]) ).

tff(c_29047,plain,
    multiply(sk_c8,sk_c9) != sk_c7,
    inference(splitLeft,[status(thm)],[c_29046]) ).

tff(c_29126,plain,
    multiply(sk_c7,sk_c9) != sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_29112,c_29047]) ).

tff(c_29137,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_29108,c_29126]) ).

tff(c_29138,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
      ( ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c8 )
      | ( inverse(X5_6) != sk_c8 )
      | ( multiply(X5_6,sk_c8) != sk_c7 )
      | ( inverse(X6_7) != sk_c8 )
      | ( multiply(X6_7,sk_c8) != sk_c9 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c8 )
      | ( inverse(X2_10) != sk_c8 )
      | ( multiply(X2_10,sk_c8) != sk_c7 )
      | ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_29046]) ).

tff(c_29283,plain,
    ! [X3_308] :
      ( ( inverse(X3_308) != sk_c7 )
      | ( multiply(X3_308,sk_c7) != sk_c9 ) ),
    inference(splitLeft,[status(thm)],[c_29138]) ).

tff(c_29290,plain,
    inverse(sk_c6) != sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_28914,c_29283]) ).

tff(c_29302,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_28866,c_29290]) ).

tff(c_29303,plain,
    ! [X5_6,X2_10,X1_9,X4_11,X6_7] :
      ( ( inverse(X2_10) != sk_c8 )
      | ( multiply(X2_10,sk_c8) != sk_c7 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c8 )
      | ( inverse(X6_7) != sk_c8 )
      | ( multiply(X6_7,sk_c8) != sk_c9 )
      | ( inverse(X5_6) != sk_c8 )
      | ( multiply(X5_6,sk_c8) != sk_c7 )
      | ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c8 ) ),
    inference(splitRight,[status(thm)],[c_29138]) ).

tff(c_29420,plain,
    ! [X5_6,X2_10,X1_9,X4_11,X6_7] :
      ( ( inverse(X2_10) != sk_c7 )
      | ( multiply(X2_10,sk_c7) != sk_c7 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c7 )
      | ( inverse(X6_7) != sk_c7 )
      | ( multiply(X6_7,sk_c7) != sk_c9 )
      | ( inverse(X5_6) != sk_c7 )
      | ( multiply(X5_6,sk_c7) != sk_c7 )
      | ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c7 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_29386,c_29386,c_29386,c_29386,c_29386,c_29386,c_29386,c_29386,c_29303]) ).

tff(c_29421,plain,
    ! [X4_11] :
      ( ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c7 ) ),
    inference(splitLeft,[status(thm)],[c_29420]) ).

tff(c_30251,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_29873,c_29567,c_29565,c_29567,c_29421]) ).

tff(c_29407,plain,
    inverse(sk_c3) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_29386,c_123]) ).

tff(c_29425,plain,
    multiply(sk_c7,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_29407,c_4]) ).

tff(c_29603,plain,
    sk_c3 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_29565,c_29425]) ).

tff(c_29578,plain,
    inverse(sk_c3) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_29565,c_29407]) ).

tff(c_29670,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_29603,c_29578]) ).

tff(c_30253,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_30251,c_29670]) ).

tff(c_30254,plain,
    ! [X5_6,X6_7,X1_9,X2_10] :
      ( ( inverse(X5_6) != sk_c7 )
      | ( multiply(X5_6,sk_c7) != sk_c7 )
      | ( inverse(X6_7) != sk_c7 )
      | ( multiply(X6_7,sk_c7) != sk_c9 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c7 )
      | ( inverse(X2_10) != sk_c7 )
      | ( multiply(X2_10,sk_c7) != sk_c7 ) ),
    inference(splitRight,[status(thm)],[c_29420]) ).

tff(c_38716,plain,
    ! [X5_6,X6_7,X1_9,X2_10] :
      ( ( inverse(X5_6) != identity )
      | ( identity != X5_6 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X2_10) != identity )
      | ( identity != X2_10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_30621,c_30339,c_30339,c_30339,c_30621,c_30340,c_30339,c_30340,c_30621,c_30340,c_30339,c_30339,c_30621,c_30339,c_30339,c_30339,c_30254]) ).

tff(c_38718,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_38716]) ).

tff(c_30258,plain,
    multiply(sk_c7,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_29407,c_4]) ).

tff(c_30373,plain,
    sk_c3 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_30339,c_30258]) ).

tff(c_30346,plain,
    inverse(sk_c3) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_30339,c_29407]) ).

tff(c_30408,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_30373,c_30346]) ).

tff(c_38720,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_38718,c_30408]) ).

tff(c_38721,plain,
    ! [X1_9,X6_7,X5_6] :
      ( ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X5_6) != identity )
      | ( identity != X5_6 ) ),
    inference(splitRight,[status(thm)],[c_38716]) ).

tff(c_44236,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_38721]) ).

tff(c_44238,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_44236,c_30408]) ).

tff(c_44239,plain,
    ! [X6_7,X1_9] :
      ( ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 ) ),
    inference(splitRight,[status(thm)],[c_38721]) ).

tff(c_44241,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_44239]) ).

tff(c_44243,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_44241,c_30408]) ).

tff(c_45054,plain,
    inverse(identity) != identity,
    inference(splitRight,[status(thm)],[c_44239]) ).

tff(c_45056,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_45054,c_30408]) ).

tff(c_45058,plain,
    inverse(sk_c1) != sk_c9,
    inference(splitRight,[status(thm)],[c_38]) ).

tff(c_46,plain,
    ( ( multiply(sk_c6,sk_c7) = sk_c9 )
    | ( inverse(sk_c1) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_45112,plain,
    multiply(sk_c6,sk_c7) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_45058,c_46]) ).

tff(c_48,plain,
    ( ( inverse(sk_c6) = sk_c7 )
    | ( inverse(sk_c1) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_125]) ).

tff(c_45098,plain,
    inverse(sk_c6) = sk_c7,
    inference(negUnitSimplification,[status(thm)],[c_45058,c_48]) ).

tff(c_45102,plain,
    multiply(sk_c7,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_45098,c_4]) ).

tff(c_45193,plain,
    ! [Z_461] : ( multiply(sk_c7,multiply(sk_c6,Z_461)) = multiply(identity,Z_461) ),
    inference(superposition,[status(thm),theory(equality)],[c_45102,c_45166]) ).

tff(c_45223,plain,
    ! [Z_462] : ( multiply(sk_c7,multiply(sk_c6,Z_462)) = Z_462 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_45193]) ).

tff(c_45235,plain,
    multiply(sk_c7,sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_45112,c_45223]) ).

tff(c_46217,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_45235,c_46193]) ).

tff(c_46248,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_46217]) ).

tff(c_45057,plain,
    inverse(sk_c4) = sk_c9,
    inference(splitRight,[status(thm)],[c_38]) ).

tff(c_46255,plain,
    inverse(sk_c4) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_46248,c_45057]) ).

tff(c_44,plain,
    ( ( multiply(sk_c7,sk_c9) = sk_c8 )
    | ( inverse(sk_c1) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_119]) ).

tff(c_45126,plain,
    multiply(sk_c7,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_45058,c_44]) ).

tff(c_45239,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_45235,c_45126]) ).

tff(c_36,plain,
    ( ( multiply(sk_c4,sk_c9) = sk_c8 )
    | ( inverse(sk_c1) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_107]) ).

tff(c_45118,plain,
    multiply(sk_c4,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_45058,c_36]) ).

tff(c_45248,plain,
    multiply(sk_c4,sk_c9) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_45239,c_45118]) ).

tff(c_46314,plain,
    multiply(sk_c4,identity) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_46248,c_45248]) ).

tff(c_46318,plain,
    multiply(inverse(sk_c4),sk_c7) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_46314,c_45221]) ).

tff(c_46324,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_46255,c_46318]) ).

tff(c_45299,plain,
    ! [X_463,Z_464] : ( multiply(inverse(X_463),multiply(X_463,Z_464)) = Z_464 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_45208]) ).

tff(c_45670,plain,
    ! [X_468,Z_469] : ( multiply(inverse(inverse(X_468)),Z_469) = multiply(X_468,Z_469) ),
    inference(superposition,[status(thm),theory(equality)],[c_45221,c_45299]) ).

tff(c_45356,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_45299]) ).

tff(c_45677,plain,
    ! [X_468] : ( multiply(X_468,identity) = X_468 ),
    inference(superposition,[status(thm),theory(equality)],[c_45670,c_45356]) ).

tff(c_45332,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_45235,c_45299]) ).

tff(c_45363,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_45332]) ).

tff(c_45370,plain,
    inverse(sk_c4) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_45363,c_45057]) ).

tff(c_45386,plain,
    multiply(sk_c4,identity) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_45363,c_45248]) ).

tff(c_45390,plain,
    multiply(inverse(sk_c4),sk_c7) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_45386,c_45221]) ).

tff(c_45396,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_45370,c_45390]) ).

tff(c_45260,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
      ( ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 )
      | ( inverse(X2_10) != sk_c7 )
      | ( multiply(X2_10,sk_c7) != sk_c7 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c7 )
      | ( inverse(X6_7) != sk_c7 )
      | ( multiply(X6_7,sk_c7) != sk_c9 )
      | ( inverse(X5_6) != sk_c7 )
      | ( multiply(X5_6,sk_c7) != sk_c7 )
      | ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c7 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_45235,c_45239,c_45239,c_45239,c_45239,c_45239,c_45239,c_45239,c_45239,c_45239,c_45239,c_45235,c_106]) ).

tff(c_45261,plain,
    ! [X4_11] :
      ( ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c7 ) ),
    inference(splitLeft,[status(thm)],[c_45260]) ).

tff(c_46175,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_45677,c_45396,c_45363,c_45363,c_45261]) ).

tff(c_42,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( inverse(sk_c1) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_45086,plain,
    inverse(sk_c5) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_45058,c_42]) ).

tff(c_45250,plain,
    inverse(sk_c5) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_45239,c_45086]) ).

tff(c_45272,plain,
    multiply(sk_c7,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_45250,c_4]) ).

tff(c_45488,plain,
    sk_c5 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_45396,c_45272]) ).

tff(c_45403,plain,
    inverse(sk_c5) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_45396,c_45250]) ).

tff(c_45490,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_45488,c_45403]) ).

tff(c_46177,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_46175,c_45490]) ).

tff(c_46178,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X6_7] :
      ( ( inverse(X5_6) != sk_c7 )
      | ( multiply(X5_6,sk_c7) != sk_c7 )
      | ( inverse(X6_7) != sk_c7 )
      | ( multiply(X6_7,sk_c7) != sk_c9 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c7 )
      | ( inverse(X2_10) != sk_c7 )
      | ( multiply(X2_10,sk_c7) != sk_c7 )
      | ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_45260]) ).

tff(c_53894,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X6_7] :
      ( ( inverse(X5_6) != identity )
      | ( identity != X5_6 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X2_10) != identity )
      | ( identity != X2_10 )
      | ( inverse(X3_8) != identity )
      | ( identity != X3_8 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_46560,c_46324,c_46248,c_46324,c_46560,c_46324,c_46324,c_46324,c_46560,c_46324,c_46248,c_46248,c_46560,c_46324,c_46248,c_46324,c_46560,c_46324,c_46324,c_46324,c_46178]) ).

tff(c_53896,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_53894]) ).

tff(c_45254,plain,
    inverse(sk_c3) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_45239,c_123]) ).

tff(c_46182,plain,
    multiply(sk_c7,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_45254,c_4]) ).

tff(c_46357,plain,
    sk_c3 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_46324,c_46182]) ).

tff(c_46334,plain,
    inverse(sk_c3) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_46324,c_45254]) ).

tff(c_46372,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_46357,c_46334]) ).

tff(c_53898,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_53896,c_46372]) ).

tff(c_53899,plain,
    ! [X2_10,X1_9,X6_7,X5_6] :
      ( ( inverse(X2_10) != identity )
      | ( identity != X2_10 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X5_6) != identity )
      | ( identity != X5_6 ) ),
    inference(splitRight,[status(thm)],[c_53894]) ).

tff(c_181876,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_53899]) ).

tff(c_181878,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_181876,c_46372]) ).

tff(c_181879,plain,
    ! [X6_7,X1_9,X2_10] :
      ( ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X2_10) != identity )
      | ( identity != X2_10 ) ),
    inference(splitRight,[status(thm)],[c_53899]) ).

tff(c_181881,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_181879]) ).

tff(c_181883,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_181881,c_46372]) ).

tff(c_181884,plain,
    ! [X1_9,X6_7] :
      ( ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 ) ),
    inference(splitRight,[status(thm)],[c_181879]) ).

tff(c_181887,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_181884]) ).

tff(c_181889,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_181887,c_46372]) ).

tff(c_181891,plain,
    inverse(identity) != identity,
    inference(splitRight,[status(thm)],[c_181884]) ).

tff(c_181893,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_181891,c_46372]) ).

tff(c_181895,plain,
    inverse(sk_c3) != sk_c8,
    inference(splitRight,[status(thm)],[c_98]) ).

tff(c_102,plain,
    ( ( multiply(sk_c6,sk_c7) = sk_c9 )
    | ( inverse(sk_c3) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_181980,plain,
    multiply(sk_c6,sk_c7) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_181895,c_102]) ).

tff(c_104,plain,
    ( ( inverse(sk_c6) = sk_c7 )
    | ( inverse(sk_c3) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_209]) ).

tff(c_181934,plain,
    inverse(sk_c6) = sk_c7,
    inference(negUnitSimplification,[status(thm)],[c_181895,c_104]) ).

tff(c_181938,plain,
    multiply(sk_c7,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_181934,c_4]) ).

tff(c_182045,plain,
    ! [Z_942] : ( multiply(sk_c7,multiply(sk_c6,Z_942)) = multiply(identity,Z_942) ),
    inference(superposition,[status(thm),theory(equality)],[c_181938,c_182015]) ).

tff(c_182198,plain,
    ! [Z_947] : ( multiply(sk_c7,multiply(sk_c6,Z_947)) = Z_947 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_182045]) ).

tff(c_182210,plain,
    multiply(sk_c7,sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_181980,c_182198]) ).

tff(c_183091,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_182210,c_183064]) ).

tff(c_183132,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_183091]) ).

tff(c_100,plain,
    ( ( multiply(sk_c7,sk_c9) = sk_c8 )
    | ( inverse(sk_c3) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_203]) ).

tff(c_181967,plain,
    multiply(sk_c7,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_181895,c_100]) ).

tff(c_182214,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_182210,c_181967]) ).

tff(c_96,plain,
    ( ( multiply(sk_c5,sk_c8) = sk_c7 )
    | ( inverse(sk_c3) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_197]) ).

tff(c_181992,plain,
    multiply(sk_c5,sk_c8) = sk_c7,
    inference(negUnitSimplification,[status(thm)],[c_181895,c_96]) ).

tff(c_181894,plain,
    inverse(sk_c5) = sk_c8,
    inference(splitRight,[status(thm)],[c_98]) ).

tff(c_181899,plain,
    multiply(sk_c8,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_181894,c_4]) ).

tff(c_182054,plain,
    ! [Z_942] : ( multiply(sk_c8,multiply(sk_c5,Z_942)) = multiply(identity,Z_942) ),
    inference(superposition,[status(thm),theory(equality)],[c_181899,c_182015]) ).

tff(c_182095,plain,
    ! [Z_944] : ( multiply(sk_c8,multiply(sk_c5,Z_944)) = Z_944 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_182054]) ).

tff(c_182107,plain,
    multiply(sk_c8,sk_c7) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_181992,c_182095]) ).

tff(c_182223,plain,
    multiply(sk_c7,sk_c7) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_182214,c_182214,c_182107]) ).

tff(c_183082,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_182223,c_183064]) ).

tff(c_183131,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_183082]) ).

tff(c_182295,plain,
    ! [X_948,Z_949] : ( multiply(inverse(X_948),multiply(X_948,Z_949)) = Z_949 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_182057]) ).

tff(c_182655,plain,
    ! [X_952,Z_953] : ( multiply(inverse(inverse(X_952)),Z_953) = multiply(X_952,Z_953) ),
    inference(superposition,[status(thm),theory(equality)],[c_182295,c_182070]) ).

tff(c_182367,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_182295]) ).

tff(c_182662,plain,
    ! [X_952] : ( multiply(X_952,identity) = X_952 ),
    inference(superposition,[status(thm),theory(equality)],[c_182655,c_182367]) ).

tff(c_182334,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_182210,c_182295]) ).

tff(c_182378,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_182334]) ).

tff(c_182313,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_182223,c_182295]) ).

tff(c_182374,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_182313]) ).

tff(c_182121,plain,
    ! [Z_945] : ( multiply(sk_c7,multiply(sk_c6,Z_945)) = Z_945 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_182045]) ).

tff(c_182133,plain,
    multiply(sk_c7,sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_181980,c_182121]) ).

tff(c_182137,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_182133,c_181967]) ).

tff(c_182119,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
      ( ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 )
      | ( inverse(X2_10) != sk_c8 )
      | ( multiply(X2_10,sk_c8) != sk_c7 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c8 )
      | ( inverse(X6_7) != sk_c8 )
      | ( multiply(X6_7,sk_c8) != sk_c9 )
      | ( inverse(X5_6) != sk_c8 )
      | ( multiply(X5_6,sk_c8) != sk_c7 )
      | ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c8 )
      | ( multiply(sk_c8,sk_c9) != sk_c7 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_181967,c_106]) ).

tff(c_182120,plain,
    multiply(sk_c8,sk_c9) != sk_c7,
    inference(splitLeft,[status(thm)],[c_182119]) ).

tff(c_182175,plain,
    multiply(sk_c7,sk_c9) != sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_182137,c_182120]) ).

tff(c_182188,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_182133,c_182175]) ).

tff(c_182189,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
      ( ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c8 )
      | ( inverse(X5_6) != sk_c8 )
      | ( multiply(X5_6,sk_c8) != sk_c7 )
      | ( inverse(X6_7) != sk_c8 )
      | ( multiply(X6_7,sk_c8) != sk_c9 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c8 )
      | ( inverse(X2_10) != sk_c8 )
      | ( multiply(X2_10,sk_c8) != sk_c7 )
      | ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_182119]) ).

tff(c_182238,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
      ( ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c7 )
      | ( inverse(X5_6) != sk_c7 )
      | ( multiply(X5_6,sk_c7) != sk_c7 )
      | ( inverse(X6_7) != sk_c7 )
      | ( multiply(X6_7,sk_c7) != sk_c9 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c7 )
      | ( inverse(X2_10) != sk_c7 )
      | ( multiply(X2_10,sk_c7) != sk_c7 )
      | ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_182214,c_182214,c_182214,c_182214,c_182214,c_182214,c_182214,c_182214,c_182189]) ).

tff(c_182239,plain,
    ! [X3_8] :
      ( ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 ) ),
    inference(splitLeft,[status(thm)],[c_182238]) ).

tff(c_183039,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_182662,c_182378,c_182374,c_182374,c_182239]) ).

tff(c_181916,plain,
    inverse(sk_c2) = sk_c8,
    inference(splitLeft,[status(thm)],[c_76]) ).

tff(c_182229,plain,
    inverse(sk_c2) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_182214,c_181916]) ).

tff(c_182250,plain,
    multiply(sk_c7,sk_c2) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_182229,c_4]) ).

tff(c_182406,plain,
    sk_c2 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_182374,c_182250]) ).

tff(c_182387,plain,
    inverse(sk_c2) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_182374,c_182229]) ).

tff(c_182468,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_182406,c_182387]) ).

tff(c_183041,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_183039,c_182468]) ).

tff(c_183042,plain,
    ! [X5_6,X2_10,X1_9,X4_11,X6_7] :
      ( ( inverse(X2_10) != sk_c7 )
      | ( multiply(X2_10,sk_c7) != sk_c7 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c7 )
      | ( inverse(X6_7) != sk_c7 )
      | ( multiply(X6_7,sk_c7) != sk_c9 )
      | ( inverse(X5_6) != sk_c7 )
      | ( multiply(X5_6,sk_c7) != sk_c7 )
      | ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c7 ) ),
    inference(splitRight,[status(thm)],[c_182238]) ).

tff(c_191269,plain,
    ! [X5_6,X2_10,X1_9,X4_11,X6_7] :
      ( ( inverse(X2_10) != identity )
      | ( identity != X2_10 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X5_6) != identity )
      | ( identity != X5_6 )
      | ( inverse(X4_11) != identity )
      | ( identity != X4_11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_183403,c_183132,c_183131,c_183132,c_183403,c_183131,c_183131,c_183131,c_183403,c_183132,c_183131,c_183131,c_183403,c_183132,c_183131,c_183132,c_183403,c_183131,c_183131,c_183131,c_183042]) ).

tff(c_191271,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_191269]) ).

tff(c_182232,plain,
    inverse(sk_c5) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_182214,c_181894]) ).

tff(c_183046,plain,
    multiply(sk_c7,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_182232,c_4]) ).

tff(c_183164,plain,
    sk_c5 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_183131,c_183046]) ).

tff(c_183139,plain,
    inverse(sk_c5) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_183131,c_182232]) ).

tff(c_183189,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_183164,c_183139]) ).

tff(c_191273,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_191271,c_183189]) ).

tff(c_191274,plain,
    ! [X5_6,X6_7,X1_9,X2_10] :
      ( ( inverse(X5_6) != identity )
      | ( identity != X5_6 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X2_10) != identity )
      | ( identity != X2_10 ) ),
    inference(splitRight,[status(thm)],[c_191269]) ).

tff(c_206572,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_191274]) ).

tff(c_206574,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_206572,c_183189]) ).

tff(c_206575,plain,
    ! [X1_9,X6_7,X5_6] :
      ( ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X5_6) != identity )
      | ( identity != X5_6 ) ),
    inference(splitRight,[status(thm)],[c_191274]) ).

tff(c_207872,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_206575]) ).

tff(c_207874,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_207872,c_183189]) ).

tff(c_207875,plain,
    ! [X6_7,X1_9] :
      ( ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 ) ),
    inference(splitRight,[status(thm)],[c_206575]) ).

tff(c_207877,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_207875]) ).

tff(c_207879,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_207877,c_183189]) ).

tff(c_208805,plain,
    inverse(identity) != identity,
    inference(splitRight,[status(thm)],[c_207875]) ).

tff(c_208807,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_208805,c_183189]) ).

tff(c_208809,plain,
    inverse(sk_c2) != sk_c8,
    inference(splitRight,[status(thm)],[c_76]) ).

tff(c_208852,plain,
    multiply(sk_c6,sk_c7) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_208809,c_74]) ).

tff(c_208808,plain,
    inverse(sk_c6) = sk_c7,
    inference(splitRight,[status(thm)],[c_76]) ).

tff(c_208813,plain,
    multiply(sk_c7,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_208808,c_4]) ).

tff(c_208937,plain,
    ! [Z_1143] : ( multiply(sk_c7,multiply(sk_c6,Z_1143)) = multiply(identity,Z_1143) ),
    inference(superposition,[status(thm),theory(equality)],[c_208813,c_208904]) ).

tff(c_208980,plain,
    ! [Z_1145] : ( multiply(sk_c7,multiply(sk_c6,Z_1145)) = Z_1145 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_208937]) ).

tff(c_208992,plain,
    multiply(sk_c7,sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_208852,c_208980]) ).

tff(c_209854,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_208992,c_209827]) ).

tff(c_209898,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_209854]) ).

tff(c_208859,plain,
    multiply(sk_c7,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_181895,c_100]) ).

tff(c_209052,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_208992,c_208859]) ).

tff(c_208870,plain,
    multiply(sk_c4,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_208809,c_64]) ).

tff(c_208826,plain,
    inverse(sk_c4) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_208809,c_66]) ).

tff(c_208830,plain,
    multiply(sk_c9,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_208826,c_4]) ).

tff(c_208931,plain,
    ! [Z_1143] : ( multiply(sk_c9,multiply(sk_c4,Z_1143)) = multiply(identity,Z_1143) ),
    inference(superposition,[status(thm),theory(equality)],[c_208830,c_208904]) ).

tff(c_208957,plain,
    ! [Z_1144] : ( multiply(sk_c9,multiply(sk_c4,Z_1144)) = Z_1144 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_208931]) ).

tff(c_208969,plain,
    multiply(sk_c9,sk_c8) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_208870,c_208957]) ).

tff(c_209065,plain,
    multiply(sk_c9,sk_c7) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_209052,c_208969]) ).

tff(c_209848,plain,
    multiply(inverse(sk_c9),sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_209065,c_209827]) ).

tff(c_209897,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_209848]) ).

tff(c_209139,plain,
    ! [X_1147,Z_1148] : ( multiply(inverse(X_1147),multiply(X_1147,Z_1148)) = Z_1148 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_208943]) ).

tff(c_209528,plain,
    ! [X_1151,Z_1152] : ( multiply(inverse(inverse(X_1151)),Z_1152) = multiply(X_1151,Z_1152) ),
    inference(superposition,[status(thm),theory(equality)],[c_208955,c_209139]) ).

tff(c_209214,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_209139]) ).

tff(c_209535,plain,
    ! [X_1151] : ( multiply(X_1151,identity) = X_1151 ),
    inference(superposition,[status(thm),theory(equality)],[c_209528,c_209214]) ).

tff(c_209178,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_208992,c_209139]) ).

tff(c_209225,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_209178]) ).

tff(c_209172,plain,
    multiply(inverse(sk_c9),sk_c9) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_209065,c_209139]) ).

tff(c_209224,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_209172]) ).

tff(c_208999,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_208992,c_208859]) ).

tff(c_208997,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
      ( ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 )
      | ( inverse(X2_10) != sk_c8 )
      | ( multiply(X2_10,sk_c8) != sk_c7 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c8 )
      | ( inverse(X6_7) != sk_c8 )
      | ( multiply(X6_7,sk_c8) != sk_c9 )
      | ( inverse(X5_6) != sk_c8 )
      | ( multiply(X5_6,sk_c8) != sk_c7 )
      | ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c8 )
      | ( multiply(sk_c8,sk_c9) != sk_c7 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_208859,c_106]) ).

tff(c_208998,plain,
    multiply(sk_c8,sk_c9) != sk_c7,
    inference(splitLeft,[status(thm)],[c_208997]) ).

tff(c_209007,plain,
    multiply(sk_c7,sk_c9) != sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_208999,c_208998]) ).

tff(c_209017,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_208992,c_209007]) ).

tff(c_209018,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
      ( ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c8 )
      | ( inverse(X5_6) != sk_c8 )
      | ( multiply(X5_6,sk_c8) != sk_c7 )
      | ( inverse(X6_7) != sk_c8 )
      | ( multiply(X6_7,sk_c8) != sk_c9 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c8 )
      | ( inverse(X2_10) != sk_c8 )
      | ( multiply(X2_10,sk_c8) != sk_c7 )
      | ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_208997]) ).

tff(c_209077,plain,
    ! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
      ( ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c7 )
      | ( inverse(X5_6) != sk_c7 )
      | ( multiply(X5_6,sk_c7) != sk_c7 )
      | ( inverse(X6_7) != sk_c7 )
      | ( multiply(X6_7,sk_c7) != sk_c9 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c7 )
      | ( inverse(X2_10) != sk_c7 )
      | ( multiply(X2_10,sk_c7) != sk_c7 )
      | ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_209052,c_209052,c_209052,c_209052,c_209052,c_209052,c_209052,c_209052,c_209018]) ).

tff(c_209078,plain,
    ! [X3_8] :
      ( ( inverse(X3_8) != sk_c7 )
      | ( multiply(X3_8,sk_c7) != sk_c9 ) ),
    inference(splitLeft,[status(thm)],[c_209077]) ).

tff(c_209798,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_209535,c_209225,c_209224,c_209224,c_209078]) ).

tff(c_209071,plain,
    inverse(sk_c5) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_209052,c_181894]) ).

tff(c_209234,plain,
    inverse(sk_c5) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_209224,c_209071]) ).

tff(c_209329,plain,
    multiply(identity,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_209234,c_4]) ).

tff(c_209360,plain,
    multiply(inverse(identity),identity) = sk_c5,
    inference(superposition,[status(thm),theory(equality)],[c_209329,c_208955]) ).

tff(c_209372,plain,
    sk_c5 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_209360]) ).

tff(c_209376,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_209372,c_209234]) ).

tff(c_209800,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_209798,c_209376]) ).

tff(c_209801,plain,
    ! [X5_6,X2_10,X1_9,X4_11,X6_7] :
      ( ( inverse(X2_10) != sk_c7 )
      | ( multiply(X2_10,sk_c7) != sk_c7 )
      | ( inverse(X1_9) != sk_c9 )
      | ( multiply(X1_9,sk_c9) != sk_c7 )
      | ( inverse(X6_7) != sk_c7 )
      | ( multiply(X6_7,sk_c7) != sk_c9 )
      | ( inverse(X5_6) != sk_c7 )
      | ( multiply(X5_6,sk_c7) != sk_c7 )
      | ( inverse(X4_11) != sk_c9 )
      | ( multiply(X4_11,sk_c9) != sk_c7 ) ),
    inference(splitRight,[status(thm)],[c_209077]) ).

tff(c_217779,plain,
    ! [X5_6,X2_10,X1_9,X4_11,X6_7] :
      ( ( inverse(X2_10) != identity )
      | ( identity != X2_10 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X5_6) != identity )
      | ( identity != X5_6 )
      | ( inverse(X4_11) != identity )
      | ( identity != X4_11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_210132,c_209898,c_209897,c_209898,c_210132,c_209897,c_209897,c_209897,c_210132,c_209898,c_209897,c_209897,c_210132,c_209898,c_209897,c_209898,c_210132,c_209897,c_209897,c_209897,c_209801]) ).

tff(c_217781,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_217779]) ).

tff(c_209805,plain,
    multiply(sk_c7,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_209071,c_4]) ).

tff(c_209933,plain,
    sk_c5 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_209897,c_209805]) ).

tff(c_209905,plain,
    inverse(sk_c5) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_209897,c_209071]) ).

tff(c_209958,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_209933,c_209905]) ).

tff(c_217783,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_217781,c_209958]) ).

tff(c_217784,plain,
    ! [X5_6,X6_7,X1_9,X2_10] :
      ( ( inverse(X5_6) != identity )
      | ( identity != X5_6 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X2_10) != identity )
      | ( identity != X2_10 ) ),
    inference(splitRight,[status(thm)],[c_217779]) ).

tff(c_236972,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_217784]) ).

tff(c_236974,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_236972,c_209958]) ).

tff(c_236975,plain,
    ! [X1_9,X6_7,X5_6] :
      ( ( inverse(X1_9) != identity )
      | ( identity != X1_9 )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X5_6) != identity )
      | ( identity != X5_6 ) ),
    inference(splitRight,[status(thm)],[c_217784]) ).

tff(c_238052,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_236975]) ).

tff(c_238054,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_238052,c_209958]) ).

tff(c_238055,plain,
    ! [X6_7,X1_9] :
      ( ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( inverse(X1_9) != identity )
      | ( identity != X1_9 ) ),
    inference(splitRight,[status(thm)],[c_236975]) ).

tff(c_238057,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_238055]) ).

tff(c_238059,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_238057,c_209958]) ).

tff(c_238062,plain,
    inverse(identity) != identity,
    inference(splitRight,[status(thm)],[c_238055]) ).

tff(c_238064,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_238062,c_209958]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : GRP313-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36  % Computer : n025.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 22:12:04 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 42.30/30.83  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.46/30.90  
% 42.46/30.90  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 42.46/30.97  
% 42.46/30.97  Inference rules
% 42.46/30.97  ----------------------
% 42.46/30.97  #Ref     : 0
% 42.46/30.97  #Sup     : 56923
% 42.46/30.97  #Fact    : 0
% 42.46/30.97  #Define  : 0
% 42.46/30.97  #Split   : 57
% 42.46/30.97  #Chain   : 0
% 42.46/30.97  #Close   : 0
% 42.46/30.97  
% 42.46/30.97  Ordering : KBO
% 42.46/30.97  
% 42.46/30.97  Simplification rules
% 42.46/30.97  ----------------------
% 42.46/30.97  #Subsume      : 3
% 42.46/30.97  #Demod        : 232160
% 42.46/30.97  #Tautology    : 46952
% 42.46/30.97  #SimpNegUnit  : 118
% 42.46/30.97  #BackRed      : 733
% 42.46/30.97  
% 42.46/30.97  #Partial instantiations: 0
% 42.46/30.97  #Strategies tried      : 1
% 42.46/30.97  
% 42.46/30.97  Timing (in seconds)
% 42.46/30.97  ----------------------
% 42.46/30.98  Preprocessing        : 0.55
% 42.46/30.98  Parsing              : 0.21
% 42.46/30.98  CNF conversion       : 0.03
% 42.46/30.98  Main loop            : 29.24
% 42.46/30.98  Inferencing          : 5.37
% 42.46/30.98  Reduction            : 21.02
% 42.46/30.98  Demodulation         : 20.26
% 42.46/30.98  BG Simplification    : 0.37
% 42.46/30.98  Subsumption          : 1.84
% 42.46/30.98  Abstraction          : 1.50
% 42.46/30.98  MUC search           : 0.00
% 42.46/30.98  Cooper               : 0.00
% 42.46/30.98  Total                : 29.95
% 42.46/30.98  Index Insertion      : 0.00
% 42.46/30.98  Index Deletion       : 0.00
% 42.46/30.98  Index Matching       : 0.00
% 42.46/30.98  BG Taut test         : 0.00
%------------------------------------------------------------------------------