TSTP Solution File: GRP239-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP239-1 : 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 : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:40:36 EDT 2023

% Result   : Unsatisfiable 15.86s 5.75s
% Output   : CNFRefutation 15.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   45
% Syntax   : Number of formulae    :  617 ( 498 unt;  12 typ;   0 def)
%            Number of atoms       :  838 ( 809 equ)
%            Maximal formula atoms :   13 (   1 avg)
%            Number of connectives :  501 ( 268   ~; 233   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :  301 (; 301   !;   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_101,axiom,
    ( ( inverse(sk_c1) = sk_c9 )
    | ( inverse(sk_c6) = sk_c7 ) ),
    file(unknown,unknown) ).

tff(f_80,axiom,
    ( ( inverse(sk_c9) = sk_c8 )
    | ( inverse(sk_c6) = sk_c7 ) ),
    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_125,axiom,
    ( ( multiply(sk_c1,sk_c8) = sk_c9 )
    | ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_170,axiom,
    ( ( inverse(sk_c2) = sk_c9 )
    | ( inverse(sk_c4) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_143,axiom,
    ( ( multiply(sk_c9,sk_c3) = sk_c8 )
    | ( inverse(sk_c6) = sk_c7 ) ),
    file(unknown,unknown) ).

tff(f_113,axiom,
    ( ( multiply(sk_c1,sk_c8) = sk_c9 )
    | ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_149,axiom,
    ( ( multiply(sk_c2,sk_c9) = sk_c3 )
    | ( inverse(sk_c4) = sk_c9 ) ),
    file(unknown,unknown) ).

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

tff(f_128,axiom,
    ( ( multiply(sk_c9,sk_c3) = sk_c8 )
    | ( inverse(sk_c4) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_227,axiom,
    ! [X5,X6,X3,X7,X1,X2,X4] :
      ( ( inverse(sk_c9) != sk_c8 )
      | ( inverse(X4) != sk_c9 )
      | ( multiply(X4,sk_c8) != sk_c9 )
      | ( multiply(sk_c9,X5) != sk_c8 )
      | ( multiply(X6,sk_c9) != X5 )
      | ( inverse(X6) != sk_c9 )
      | ( inverse(X1) != sk_c9 )
      | ( multiply(X1,sk_c8) != sk_c9 )
      | ( multiply(X2,sk_c8) != sk_c9 )
      | ( inverse(X2) != sk_c8 )
      | ( multiply(X7,X3) != sk_c8 )
      | ( inverse(X7) != X3 )
      | ( multiply(X3,sk_c9) != sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_137,axiom,
    ( ( multiply(sk_c9,sk_c3) = sk_c8 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_134,axiom,
    ( ( multiply(sk_c9,sk_c3) = sk_c8 )
    | ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_110,axiom,
    ( ( multiply(sk_c1,sk_c8) = sk_c9 )
    | ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_158,axiom,
    ( ( multiply(sk_c2,sk_c9) = sk_c3 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_155,axiom,
    ( ( multiply(sk_c2,sk_c9) = sk_c3 )
    | ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_131,axiom,
    ( ( multiply(sk_c9,sk_c3) = sk_c8 )
    | ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_77,axiom,
    ( ( inverse(sk_c9) = sk_c8 )
    | ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
    file(unknown,unknown) ).

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

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

tff(f_98,axiom,
    ( ( inverse(sk_c1) = sk_c9 )
    | ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_92,axiom,
    ( ( inverse(sk_c1) = sk_c9 )
    | ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
    file(unknown,unknown) ).

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

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

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

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

tff(f_65,axiom,
    ( ( inverse(sk_c9) = sk_c8 )
    | ( inverse(sk_c4) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_185,axiom,
    ( ( inverse(sk_c2) = sk_c9 )
    | ( inverse(sk_c6) = sk_c7 ) ),
    file(unknown,unknown) ).

tff(f_176,axiom,
    ( ( inverse(sk_c2) = sk_c9 )
    | ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
    file(unknown,unknown) ).

tff(f_179,axiom,
    ( ( inverse(sk_c2) = sk_c9 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    file(unknown,unknown) ).

tff(f_68,axiom,
    ( ( inverse(sk_c9) = sk_c8 )
    | ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
    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_32,plain,
    ( ( inverse(sk_c6) = sk_c7 )
    | ( inverse(sk_c1) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_122,plain,
    inverse(sk_c1) = sk_c9,
    inference(splitLeft,[status(thm)],[c_32]) ).

tff(c_126,plain,
    multiply(sk_c9,sk_c1) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_122,c_4]) ).

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

tff(c_134,plain,
    inverse(sk_c9) = sk_c8,
    inference(splitLeft,[status(thm)],[c_18]) ).

tff(c_138,plain,
    multiply(sk_c8,sk_c9) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_134,c_4]) ).

tff(c_15235,plain,
    ! [X_208,Y_209,Z_210] : ( multiply(multiply(X_208,Y_209),Z_210) = multiply(X_208,multiply(Y_209,Z_210)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_15274,plain,
    ! [Z_210] : ( multiply(sk_c8,multiply(sk_c9,Z_210)) = multiply(identity,Z_210) ),
    inference(superposition,[status(thm),theory(equality)],[c_138,c_15235]) ).

tff(c_15299,plain,
    ! [Z_211] : ( multiply(sk_c8,multiply(sk_c9,Z_211)) = Z_211 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_15274]) ).

tff(c_15314,plain,
    multiply(sk_c8,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_126,c_15299]) ).

tff(c_48,plain,
    ( ( multiply(sk_c7,sk_c9) = sk_c8 )
    | ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_125]) ).

tff(c_15199,plain,
    multiply(sk_c1,sk_c8) = sk_c9,
    inference(splitLeft,[status(thm)],[c_48]) ).

tff(c_78,plain,
    ( ( inverse(sk_c4) = sk_c9 )
    | ( inverse(sk_c2) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_170]) ).

tff(c_109,plain,
    inverse(sk_c2) = sk_c9,
    inference(splitLeft,[status(thm)],[c_78]) ).

tff(c_113,plain,
    multiply(sk_c9,sk_c2) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).

tff(c_15317,plain,
    multiply(sk_c8,identity) = sk_c2,
    inference(superposition,[status(thm),theory(equality)],[c_113,c_15299]) ).

tff(c_15460,plain,
    sk_c2 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_15314,c_15317]) ).

tff(c_15280,plain,
    ! [Z_210] : ( multiply(sk_c9,multiply(sk_c2,Z_210)) = multiply(identity,Z_210) ),
    inference(superposition,[status(thm),theory(equality)],[c_113,c_15235]) ).

tff(c_15296,plain,
    ! [Z_210] : ( multiply(sk_c9,multiply(sk_c2,Z_210)) = Z_210 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_15280]) ).

tff(c_15507,plain,
    ! [Z_216] : ( multiply(sk_c9,multiply(sk_c1,Z_216)) = Z_216 ),
    inference(demodulation,[status(thm),theory(equality)],[c_15460,c_15296]) ).

tff(c_15525,plain,
    multiply(sk_c9,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_15199,c_15507]) ).

tff(c_15481,plain,
    ! [Z_215] : ( multiply(sk_c1,multiply(sk_c8,Z_215)) = multiply(sk_c9,Z_215) ),
    inference(superposition,[status(thm),theory(equality)],[c_15199,c_15235]) ).

tff(c_15502,plain,
    multiply(sk_c9,sk_c9) = multiply(sk_c1,identity),
    inference(superposition,[status(thm),theory(equality)],[c_138,c_15481]) ).

tff(c_16026,plain,
    multiply(sk_c1,identity) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_15525,c_15502]) ).

tff(c_15506,plain,
    ! [Z_210] : ( multiply(sk_c9,multiply(sk_c1,Z_210)) = Z_210 ),
    inference(demodulation,[status(thm),theory(equality)],[c_15460,c_15296]) ).

tff(c_16030,plain,
    multiply(sk_c9,sk_c8) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_16026,c_15506]) ).

tff(c_15294,plain,
    ! [Z_210] : ( multiply(sk_c8,multiply(sk_c9,Z_210)) = Z_210 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_15274]) ).

tff(c_16353,plain,
    multiply(sk_c8,identity) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_16030,c_15294]) ).

tff(c_16359,plain,
    sk_c8 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_15314,c_16353]) ).

tff(c_16376,plain,
    multiply(sk_c1,sk_c9) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_16359,c_138]) ).

tff(c_60,plain,
    ( ( inverse(sk_c6) = sk_c7 )
    | ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_143]) ).

tff(c_14438,plain,
    multiply(sk_c9,sk_c3) = sk_c8,
    inference(splitLeft,[status(thm)],[c_60]) ).

tff(c_14514,plain,
    ! [X_193,Y_194,Z_195] : ( multiply(multiply(X_193,Y_194),Z_195) = multiply(X_193,multiply(Y_194,Z_195)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_14556,plain,
    ! [Z_195] : ( multiply(sk_c8,multiply(sk_c9,Z_195)) = multiply(identity,Z_195) ),
    inference(superposition,[status(thm),theory(equality)],[c_138,c_14514]) ).

tff(c_14581,plain,
    ! [Z_196] : ( multiply(sk_c8,multiply(sk_c9,Z_196)) = Z_196 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_14556]) ).

tff(c_14593,plain,
    multiply(sk_c8,sk_c8) = sk_c3,
    inference(superposition,[status(thm),theory(equality)],[c_14438,c_14581]) ).

tff(c_40,plain,
    ( ( multiply(sk_c5,sk_c8) = sk_c9 )
    | ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_14482,plain,
    multiply(sk_c1,sk_c8) = sk_c9,
    inference(splitLeft,[status(thm)],[c_40]) ).

tff(c_14599,plain,
    multiply(sk_c8,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_126,c_14581]) ).

tff(c_14602,plain,
    multiply(sk_c8,identity) = sk_c2,
    inference(superposition,[status(thm),theory(equality)],[c_113,c_14581]) ).

tff(c_14754,plain,
    sk_c2 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_14599,c_14602]) ).

tff(c_14562,plain,
    ! [Z_195] : ( multiply(sk_c9,multiply(sk_c2,Z_195)) = multiply(identity,Z_195) ),
    inference(superposition,[status(thm),theory(equality)],[c_113,c_14514]) ).

tff(c_14578,plain,
    ! [Z_195] : ( multiply(sk_c9,multiply(sk_c2,Z_195)) = Z_195 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_14562]) ).

tff(c_14792,plain,
    ! [Z_201] : ( multiply(sk_c9,multiply(sk_c1,Z_201)) = Z_201 ),
    inference(demodulation,[status(thm),theory(equality)],[c_14754,c_14578]) ).

tff(c_14807,plain,
    multiply(sk_c9,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_14482,c_14792]) ).

tff(c_14576,plain,
    ! [Z_195] : ( multiply(sk_c8,multiply(sk_c9,Z_195)) = Z_195 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_14556]) ).

tff(c_14814,plain,
    multiply(sk_c8,sk_c8) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_14807,c_14576]) ).

tff(c_14820,plain,
    sk_c9 = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_14593,c_14814]) ).

tff(c_14832,plain,
    inverse(sk_c3) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_14820,c_134]) ).

tff(c_14844,plain,
    multiply(sk_c8,sk_c3) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_14832,c_4]) ).

tff(c_13271,plain,
    ! [X_172,Y_173,Z_174] : ( multiply(multiply(X_172,Y_173),Z_174) = multiply(X_172,multiply(Y_173,Z_174)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_13313,plain,
    ! [Z_174] : ( multiply(sk_c8,multiply(sk_c9,Z_174)) = multiply(identity,Z_174) ),
    inference(superposition,[status(thm),theory(equality)],[c_138,c_13271]) ).

tff(c_13338,plain,
    ! [Z_175] : ( multiply(sk_c8,multiply(sk_c9,Z_175)) = Z_175 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_13313]) ).

tff(c_13353,plain,
    multiply(sk_c8,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_126,c_13338]) ).

tff(c_13356,plain,
    multiply(sk_c8,identity) = sk_c2,
    inference(superposition,[status(thm),theory(equality)],[c_113,c_13338]) ).

tff(c_13368,plain,
    sk_c2 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_13353,c_13356]) ).

tff(c_64,plain,
    ( ( inverse(sk_c4) = sk_c9 )
    | ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
    inference(cnfTransformation,[status(thm)],[f_149]) ).

tff(c_151,plain,
    multiply(sk_c2,sk_c9) = sk_c3,
    inference(splitLeft,[status(thm)],[c_64]) ).

tff(c_13369,plain,
    multiply(sk_c1,sk_c9) = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_13368,c_151]) ).

tff(c_13316,plain,
    ! [Z_174] : ( multiply(sk_c9,multiply(sk_c1,Z_174)) = multiply(identity,Z_174) ),
    inference(superposition,[status(thm),theory(equality)],[c_126,c_13271]) ).

tff(c_13612,plain,
    ! [Z_179] : ( multiply(sk_c9,multiply(sk_c1,Z_179)) = Z_179 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_13316]) ).

tff(c_13627,plain,
    multiply(sk_c9,sk_c3) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_13369,c_13612]) ).

tff(c_13333,plain,
    ! [Z_174] : ( multiply(sk_c8,multiply(sk_c9,Z_174)) = Z_174 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_13313]) ).

tff(c_13757,plain,
    multiply(sk_c8,sk_c9) = sk_c3,
    inference(superposition,[status(thm),theory(equality)],[c_13627,c_13333]) ).

tff(c_13763,plain,
    sk_c3 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_13757]) ).

tff(c_13797,plain,
    multiply(sk_c9,identity) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_13763,c_13627]) ).

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

tff(c_156,plain,
    multiply(sk_c1,sk_c8) = sk_c9,
    inference(splitLeft,[status(thm)],[c_36]) ).

tff(c_13630,plain,
    multiply(sk_c9,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_156,c_13612]) ).

tff(c_13855,plain,
    ! [Z_184] : ( multiply(sk_c1,multiply(sk_c8,Z_184)) = multiply(sk_c9,Z_184) ),
    inference(superposition,[status(thm),theory(equality)],[c_156,c_13271]) ).

tff(c_13882,plain,
    multiply(sk_c9,sk_c9) = multiply(sk_c1,identity),
    inference(superposition,[status(thm),theory(equality)],[c_138,c_13855]) ).

tff(c_13888,plain,
    multiply(sk_c1,identity) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_13630,c_13882]) ).

tff(c_13334,plain,
    ! [Z_174] : ( multiply(sk_c9,multiply(sk_c1,Z_174)) = Z_174 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_13316]) ).

tff(c_13892,plain,
    multiply(sk_c9,sk_c8) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_13888,c_13334]) ).

tff(c_13903,plain,
    multiply(sk_c8,identity) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_13892,c_13333]) ).

tff(c_13909,plain,
    sk_c8 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_13353,c_13903]) ).

tff(c_196,plain,
    ! [X_15,Y_16,Z_17] : ( multiply(multiply(X_15,Y_16),Z_17) = multiply(X_15,multiply(Y_16,Z_17)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_229,plain,
    ! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = multiply(identity,Z_17) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_196]) ).

tff(c_240,plain,
    ! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = Z_17 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_229]) ).

tff(c_2229,plain,
    ! [X_57,Z_58] : ( multiply(inverse(X_57),multiply(X_57,Z_58)) = Z_58 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_229]) ).

tff(c_2363,plain,
    ! [X_61,Z_62] : ( multiply(inverse(inverse(X_61)),Z_62) = multiply(X_61,Z_62) ),
    inference(superposition,[status(thm),theory(equality)],[c_240,c_2229]) ).

tff(c_2250,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_2229]) ).

tff(c_2374,plain,
    ! [X_61] : ( multiply(X_61,identity) = X_61 ),
    inference(superposition,[status(thm),theory(equality)],[c_2363,c_2250]) ).

tff(c_50,plain,
    ( ( inverse(sk_c4) = sk_c9 )
    | ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_128]) ).

tff(c_164,plain,
    multiply(sk_c9,sk_c3) = sk_c8,
    inference(splitLeft,[status(thm)],[c_50]) ).

tff(c_220,plain,
    ! [Z_17] : ( multiply(sk_c8,multiply(sk_c9,Z_17)) = multiply(identity,Z_17) ),
    inference(superposition,[status(thm),theory(equality)],[c_138,c_196]) ).

tff(c_242,plain,
    ! [Z_18] : ( multiply(sk_c8,multiply(sk_c9,Z_18)) = Z_18 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_220]) ).

tff(c_254,plain,
    multiply(sk_c8,sk_c8) = sk_c3,
    inference(superposition,[status(thm),theory(equality)],[c_164,c_242]) ).

tff(c_257,plain,
    multiply(sk_c8,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_126,c_242]) ).

tff(c_260,plain,
    multiply(sk_c8,identity) = sk_c2,
    inference(superposition,[status(thm),theory(equality)],[c_113,c_242]) ).

tff(c_408,plain,
    sk_c2 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_257,c_260]) ).

tff(c_417,plain,
    multiply(sk_c1,sk_c9) = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_408,c_151]) ).

tff(c_226,plain,
    ! [Z_17] : ( multiply(sk_c9,multiply(sk_c2,Z_17)) = multiply(identity,Z_17) ),
    inference(superposition,[status(thm),theory(equality)],[c_113,c_196]) ).

tff(c_239,plain,
    ! [Z_17] : ( multiply(sk_c9,multiply(sk_c2,Z_17)) = Z_17 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_226]) ).

tff(c_729,plain,
    ! [Z_28] : ( multiply(sk_c9,multiply(sk_c1,Z_28)) = Z_28 ),
    inference(demodulation,[status(thm),theory(equality)],[c_408,c_239]) ).

tff(c_744,plain,
    multiply(sk_c9,sk_c3) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_417,c_729]) ).

tff(c_751,plain,
    sk_c9 = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_744]) ).

tff(c_747,plain,
    multiply(sk_c9,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_156,c_729]) ).

tff(c_2167,plain,
    sk_c8 = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_254,c_751,c_751,c_747]) ).

tff(c_758,plain,
    inverse(sk_c8) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_751,c_134]) ).

tff(c_768,plain,
    multiply(sk_c8,sk_c8) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_758,c_4]) ).

tff(c_2181,plain,
    multiply(sk_c3,sk_c3) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2167,c_2167,c_768]) ).

tff(c_755,plain,
    multiply(sk_c8,sk_c3) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_751,c_164]) ).

tff(c_2213,plain,
    sk_c3 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2181,c_2167,c_2167,c_755]) ).

tff(c_2219,plain,
    sk_c8 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2213,c_2167]) ).

tff(c_850,plain,
    ! [X_29,Z_30] : ( multiply(inverse(X_29),multiply(X_29,Z_30)) = Z_30 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_229]) ).

tff(c_988,plain,
    ! [X_33,Z_34] : ( multiply(inverse(inverse(X_33)),Z_34) = multiply(X_33,Z_34) ),
    inference(superposition,[status(thm),theory(equality)],[c_240,c_850]) ).

tff(c_871,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_850]) ).

tff(c_999,plain,
    ! [X_33] : ( multiply(X_33,identity) = X_33 ),
    inference(superposition,[status(thm),theory(equality)],[c_988,c_871]) ).

tff(c_781,plain,
    sk_c8 = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_254,c_751,c_751,c_747]) ).

tff(c_802,plain,
    multiply(sk_c3,sk_c3) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_781,c_781,c_768]) ).

tff(c_837,plain,
    sk_c3 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_802,c_781,c_781,c_755]) ).

tff(c_844,plain,
    sk_c8 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_837,c_781]) ).

tff(c_442,plain,
    ! [Z_22] : ( multiply(sk_c9,multiply(sk_c1,Z_22)) = Z_22 ),
    inference(demodulation,[status(thm),theory(equality)],[c_408,c_239]) ).

tff(c_457,plain,
    multiply(sk_c9,sk_c3) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_417,c_442]) ).

tff(c_464,plain,
    sk_c9 = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_457]) ).

tff(c_460,plain,
    multiply(sk_c9,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_156,c_442]) ).

tff(c_514,plain,
    sk_c8 = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_254,c_464,c_464,c_460]) ).

tff(c_470,plain,
    multiply(sk_c8,sk_c8) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_464,c_138]) ).

tff(c_562,plain,
    multiply(sk_c3,sk_c3) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_514,c_514,c_470]) ).

tff(c_468,plain,
    multiply(sk_c8,sk_c3) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_464,c_164]) ).

tff(c_581,plain,
    sk_c3 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_562,c_514,c_514,c_468]) ).

tff(c_471,plain,
    inverse(sk_c8) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_464,c_134]) ).

tff(c_515,plain,
    inverse(sk_c3) = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_514,c_514,c_471]) ).

tff(c_585,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_581,c_581,c_515]) ).

tff(c_518,plain,
    sk_c9 = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_514,c_464]) ).

tff(c_275,plain,
    sk_c2 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_257,c_260]) ).

tff(c_284,plain,
    multiply(sk_c1,sk_c9) = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_275,c_151]) ).

tff(c_324,plain,
    ! [Z_20] : ( multiply(sk_c9,multiply(sk_c1,Z_20)) = Z_20 ),
    inference(demodulation,[status(thm),theory(equality)],[c_275,c_239]) ).

tff(c_339,plain,
    multiply(sk_c9,sk_c3) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_284,c_324]) ).

tff(c_346,plain,
    sk_c9 = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_339]) ).

tff(c_354,plain,
    inverse(sk_c8) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_346,c_134]) ).

tff(c_92,plain,
    ! [X4_12,X1_10,X7_9,X6_7,X2_11] :
      ( ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
      | ( multiply(X7_9,inverse(X7_9)) != sk_c8 )
      | ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c9 )
      | ( multiply(X1_10,sk_c8) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
      | ( multiply(X4_12,sk_c8) != sk_c9 )
      | ( inverse(X4_12) != sk_c9 )
      | ( inverse(sk_c9) != sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_227]) ).

tff(c_265,plain,
    ! [X4_12,X1_10,X7_9,X6_7,X2_11] :
      ( ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
      | ( multiply(X7_9,inverse(X7_9)) != sk_c8 )
      | ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c9 )
      | ( multiply(X1_10,sk_c8) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
      | ( multiply(X4_12,sk_c8) != sk_c9 )
      | ( inverse(X4_12) != sk_c9 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_134,c_92]) ).

tff(c_266,plain,
    ! [X4_12] :
      ( ( multiply(X4_12,sk_c8) != sk_c9 )
      | ( inverse(X4_12) != sk_c9 ) ),
    inference(splitLeft,[status(thm)],[c_265]) ).

tff(c_369,plain,
    ! [X4_21] :
      ( ( multiply(X4_21,sk_c8) != sk_c8 )
      | ( inverse(X4_21) != sk_c8 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_346,c_346,c_266]) ).

tff(c_372,plain,
    ( ( sk_c8 != sk_c3 )
    | ( inverse(sk_c8) != sk_c8 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_254,c_369]) ).

tff(c_386,plain,
    sk_c8 != sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_354,c_372]) ).

tff(c_342,plain,
    multiply(sk_c9,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_156,c_324]) ).

tff(c_397,plain,
    sk_c8 = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_254,c_346,c_346,c_342]) ).

tff(c_398,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_386,c_397]) ).

tff(c_399,plain,
    ! [X6_7,X1_10,X2_11,X7_9] :
      ( ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
      | ( multiply(X1_10,sk_c8) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c9 )
      | ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
      | ( multiply(X7_9,inverse(X7_9)) != sk_c8 ) ),
    inference(splitRight,[status(thm)],[c_265]) ).

tff(c_433,plain,
    ! [X7_9] :
      ( ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
      | ( multiply(X7_9,inverse(X7_9)) != sk_c8 ) ),
    inference(splitLeft,[status(thm)],[c_399]) ).

tff(c_537,plain,
    ! [X7_24] :
      ( ( multiply(inverse(X7_24),sk_c3) != sk_c3 )
      | ( multiply(X7_24,inverse(X7_24)) != sk_c3 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_514,c_518,c_514,c_433]) ).

tff(c_542,plain,
    ( ( sk_c3 != identity )
    | ( multiply(sk_c3,inverse(sk_c3)) != sk_c3 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_537]) ).

tff(c_719,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_585,c_581,c_581,c_2,c_581,c_581,c_542]) ).

tff(c_720,plain,
    ! [X2_11,X1_10,X6_7] :
      ( ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c9 )
      | ( multiply(X1_10,sk_c8) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 ) ),
    inference(splitRight,[status(thm)],[c_399]) ).

tff(c_779,plain,
    ! [X2_11,X1_10,X6_7] :
      ( ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c8 )
      | ( multiply(X1_10,sk_c8) != sk_c8 )
      | ( inverse(X1_10) != sk_c8 )
      | ( inverse(X6_7) != sk_c8 )
      | ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_751,c_751,c_751,c_751,c_751,c_751,c_720]) ).

tff(c_780,plain,
    ! [X6_7] :
      ( ( inverse(X6_7) != sk_c8 )
      | ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 ) ),
    inference(splitLeft,[status(thm)],[c_779]) ).

tff(c_2163,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_999,c_844,c_844,c_2,c_844,c_844,c_780]) ).

tff(c_783,plain,
    inverse(sk_c3) = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_781,c_781,c_758]) ).

tff(c_840,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_837,c_837,c_783]) ).

tff(c_2165,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2163,c_840]) ).

tff(c_2166,plain,
    ! [X1_10,X2_11] :
      ( ( multiply(X1_10,sk_c8) != sk_c8 )
      | ( inverse(X1_10) != sk_c8 )
      | ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c8 ) ),
    inference(splitRight,[status(thm)],[c_779]) ).

tff(c_13184,plain,
    ! [X1_10,X2_11] :
      ( ( identity != X1_10 )
      | ( inverse(X1_10) != identity )
      | ( inverse(X2_11) != identity )
      | ( identity != X2_11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2374,c_2219,c_2219,c_2219,c_2219,c_2374,c_2219,c_2219,c_2166]) ).

tff(c_13186,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_13184]) ).

tff(c_2169,plain,
    inverse(sk_c3) = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_2167,c_2167,c_758]) ).

tff(c_2215,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2213,c_2213,c_2169]) ).

tff(c_13188,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13186,c_2215]) ).

tff(c_13190,plain,
    inverse(identity) != identity,
    inference(splitRight,[status(thm)],[c_13184]) ).

tff(c_13192,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13190,c_2215]) ).

tff(c_13194,plain,
    multiply(sk_c9,sk_c3) != sk_c8,
    inference(splitRight,[status(thm)],[c_50]) ).

tff(c_56,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_13225,plain,
    inverse(sk_c5) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_13194,c_56]) ).

tff(c_13925,plain,
    inverse(sk_c5) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_13909,c_13225]) ).

tff(c_13973,plain,
    multiply(sk_c1,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_13925,c_4]) ).

tff(c_13322,plain,
    ! [X_2,Z_174] : ( multiply(inverse(X_2),multiply(X_2,Z_174)) = multiply(identity,Z_174) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_13271]) ).

tff(c_14025,plain,
    ! [X_186,Z_187] : ( multiply(inverse(X_186),multiply(X_186,Z_187)) = Z_187 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_13322]) ).

tff(c_14046,plain,
    multiply(inverse(sk_c1),identity) = sk_c5,
    inference(superposition,[status(thm),theory(equality)],[c_13973,c_14025]) ).

tff(c_14096,plain,
    sk_c9 = sk_c5,
    inference(demodulation,[status(thm),theory(equality)],[c_13797,c_122,c_14046]) ).

tff(c_14114,plain,
    inverse(sk_c1) = sk_c5,
    inference(demodulation,[status(thm),theory(equality)],[c_14096,c_122]) ).

tff(c_14127,plain,
    multiply(sk_c5,sk_c1) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_14114,c_4]) ).

tff(c_54,plain,
    ( ( multiply(sk_c5,sk_c8) = sk_c9 )
    | ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_134]) ).

tff(c_13265,plain,
    multiply(sk_c5,sk_c8) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_13194,c_54]) ).

tff(c_13921,plain,
    multiply(sk_c5,sk_c1) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_13909,c_13265]) ).

tff(c_14143,plain,
    sk_c5 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_14127,c_14096,c_13921]) ).

tff(c_13753,plain,
    sk_c9 != sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_13627,c_13194]) ).

tff(c_13916,plain,
    sk_c9 != sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_13909,c_13753]) ).

tff(c_14109,plain,
    sk_c5 != sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_14096,c_13916]) ).

tff(c_14146,plain,
    sk_c1 != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_14143,c_14109]) ).

tff(c_14147,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_14143,c_14096]) ).

tff(c_13798,plain,
    multiply(sk_c1,sk_c9) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_13763,c_13369]) ).

tff(c_13637,plain,
    multiply(sk_c8,sk_c8) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_13630,c_13333]) ).

tff(c_13870,plain,
    multiply(sk_c9,sk_c8) = multiply(sk_c1,sk_c9),
    inference(superposition,[status(thm),theory(equality)],[c_13637,c_13855]) ).

tff(c_13886,plain,
    multiply(sk_c9,sk_c8) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_13798,c_13870]) ).

tff(c_14209,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_14147,c_13909,c_13886]) ).

tff(c_14210,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14146,c_14209]) ).

tff(c_14212,plain,
    multiply(sk_c1,sk_c8) != sk_c9,
    inference(splitRight,[status(thm)],[c_36]) ).

tff(c_14297,plain,
    ! [X_189,Y_190,Z_191] : ( multiply(multiply(X_189,Y_190),Z_191) = multiply(X_189,multiply(Y_190,Z_191)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_14339,plain,
    ! [Z_191] : ( multiply(sk_c8,multiply(sk_c9,Z_191)) = multiply(identity,Z_191) ),
    inference(superposition,[status(thm),theory(equality)],[c_138,c_14297]) ).

tff(c_14364,plain,
    ! [Z_192] : ( multiply(sk_c8,multiply(sk_c9,Z_192)) = Z_192 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_14339]) ).

tff(c_14382,plain,
    multiply(sk_c8,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_126,c_14364]) ).

tff(c_14211,plain,
    inverse(sk_c4) = sk_c9,
    inference(splitRight,[status(thm)],[c_36]) ).

tff(c_14216,plain,
    multiply(sk_c9,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_14211,c_4]) ).

tff(c_14379,plain,
    multiply(sk_c8,identity) = sk_c4,
    inference(superposition,[status(thm),theory(equality)],[c_14216,c_14364]) ).

tff(c_14417,plain,
    sk_c4 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_14382,c_14379]) ).

tff(c_38,plain,
    ( ( multiply(sk_c4,sk_c8) = sk_c9 )
    | ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_110]) ).

tff(c_14284,plain,
    multiply(sk_c4,sk_c8) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_14212,c_38]) ).

tff(c_14418,plain,
    multiply(sk_c1,sk_c8) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_14417,c_14284]) ).

tff(c_14422,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14212,c_14418]) ).

tff(c_14424,plain,
    multiply(sk_c2,sk_c9) != sk_c3,
    inference(splitRight,[status(thm)],[c_64]) ).

tff(c_70,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
    inference(cnfTransformation,[status(thm)],[f_158]) ).

tff(c_14463,plain,
    inverse(sk_c5) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_14424,c_70]) ).

tff(c_68,plain,
    ( ( multiply(sk_c5,sk_c8) = sk_c9 )
    | ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
    inference(cnfTransformation,[status(thm)],[f_155]) ).

tff(c_14509,plain,
    multiply(sk_c5,sk_c8) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_14424,c_68]) ).

tff(c_14827,plain,
    multiply(sk_c5,sk_c8) = sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_14820,c_14509]) ).

tff(c_14565,plain,
    ! [X_2,Z_195] : ( multiply(inverse(X_2),multiply(X_2,Z_195)) = multiply(identity,Z_195) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_14514]) ).

tff(c_14893,plain,
    ! [X_202,Z_203] : ( multiply(inverse(X_202),multiply(X_202,Z_203)) = Z_203 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_14565]) ).

tff(c_14917,plain,
    multiply(inverse(sk_c5),sk_c3) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_14827,c_14893]) ).

tff(c_14964,plain,
    sk_c8 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_14844,c_14463,c_14917]) ).

tff(c_14972,plain,
    multiply(identity,identity) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_14964,c_14599]) ).

tff(c_14977,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_14972]) ).

tff(c_14755,plain,
    multiply(sk_c1,sk_c9) != sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_14754,c_14424]) ).

tff(c_14824,plain,
    multiply(sk_c1,sk_c3) != sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_14820,c_14755]) ).

tff(c_14983,plain,
    multiply(identity,sk_c3) != sk_c3,
    inference(demodulation,[status(thm),theory(equality)],[c_14977,c_14824]) ).

tff(c_14990,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_14983]) ).

tff(c_14992,plain,
    multiply(sk_c1,sk_c8) != sk_c9,
    inference(splitRight,[status(thm)],[c_40]) ).

tff(c_15024,plain,
    ! [X_204,Y_205,Z_206] : ( multiply(multiply(X_204,Y_205),Z_206) = multiply(X_204,multiply(Y_205,Z_206)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_15063,plain,
    ! [Z_206] : ( multiply(sk_c8,multiply(sk_c9,Z_206)) = multiply(identity,Z_206) ),
    inference(superposition,[status(thm),theory(equality)],[c_138,c_15024]) ).

tff(c_15088,plain,
    ! [Z_207] : ( multiply(sk_c8,multiply(sk_c9,Z_207)) = Z_207 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_15063]) ).

tff(c_15106,plain,
    multiply(sk_c8,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_126,c_15088]) ).

tff(c_14423,plain,
    inverse(sk_c4) = sk_c9,
    inference(splitRight,[status(thm)],[c_64]) ).

tff(c_14428,plain,
    multiply(sk_c9,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_14423,c_4]) ).

tff(c_15103,plain,
    multiply(sk_c8,identity) = sk_c4,
    inference(superposition,[status(thm),theory(equality)],[c_14428,c_15088]) ).

tff(c_15149,plain,
    sk_c4 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_15106,c_15103]) ).

tff(c_15010,plain,
    multiply(sk_c4,sk_c8) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_14992,c_38]) ).

tff(c_15150,plain,
    multiply(sk_c1,sk_c8) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_15149,c_15010]) ).

tff(c_15154,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14992,c_15150]) ).

tff(c_15156,plain,
    multiply(sk_c9,sk_c3) != sk_c8,
    inference(splitRight,[status(thm)],[c_60]) ).

tff(c_15175,plain,
    inverse(sk_c5) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_15156,c_56]) ).

tff(c_16374,plain,
    inverse(sk_c5) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_16359,c_15175]) ).

tff(c_15219,plain,
    multiply(sk_c5,sk_c8) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_14424,c_68]) ).

tff(c_16369,plain,
    multiply(sk_c5,sk_c1) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_16359,c_15219]) ).

tff(c_15283,plain,
    ! [X_2,Z_210] : ( multiply(inverse(X_2),multiply(X_2,Z_210)) = multiply(identity,Z_210) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_15235]) ).

tff(c_15297,plain,
    ! [X_2,Z_210] : ( multiply(inverse(X_2),multiply(X_2,Z_210)) = Z_210 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_15283]) ).

tff(c_17529,plain,
    multiply(inverse(sk_c5),sk_c9) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_16369,c_15297]) ).

tff(c_17535,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_16376,c_16374,c_17529]) ).

tff(c_15532,plain,
    multiply(sk_c8,sk_c8) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_15525,c_15294]) ).

tff(c_16364,plain,
    multiply(sk_c1,sk_c1) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_16359,c_16359,c_15532]) ).

tff(c_17538,plain,
    multiply(identity,identity) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_17535,c_17535,c_16364]) ).

tff(c_17553,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_17538]) ).

tff(c_17419,plain,
    ! [X_248,Z_249] : ( multiply(inverse(X_248),multiply(X_248,Z_249)) = Z_249 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_15283]) ).

tff(c_17736,plain,
    ! [X_253,Z_254] : ( multiply(inverse(inverse(X_253)),Z_254) = multiply(X_253,Z_254) ),
    inference(superposition,[status(thm),theory(equality)],[c_15297,c_17419]) ).

tff(c_17470,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_17419]) ).

tff(c_17743,plain,
    ! [X_253] : ( multiply(X_253,identity) = X_253 ),
    inference(superposition,[status(thm),theory(equality)],[c_17736,c_17470]) ).

tff(c_16452,plain,
    ! [X_226,Z_227] : ( multiply(inverse(X_226),multiply(X_226,Z_227)) = Z_227 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_15283]) ).

tff(c_16717,plain,
    ! [X_231,Z_232] : ( multiply(inverse(inverse(X_231)),Z_232) = multiply(X_231,Z_232) ),
    inference(superposition,[status(thm),theory(equality)],[c_15297,c_16452]) ).

tff(c_16509,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_16452]) ).

tff(c_16724,plain,
    ! [X_231] : ( multiply(X_231,identity) = X_231 ),
    inference(superposition,[status(thm),theory(equality)],[c_16717,c_16509]) ).

tff(c_16377,plain,
    inverse(sk_c9) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_16359,c_134]) ).

tff(c_16388,plain,
    multiply(sk_c1,sk_c9) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_16377,c_4]) ).

tff(c_16527,plain,
    multiply(inverse(sk_c5),sk_c9) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_16369,c_15297]) ).

tff(c_16533,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_16388,c_16374,c_16527]) ).

tff(c_16372,plain,
    multiply(sk_c1,sk_c1) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_16359,c_15199]) ).

tff(c_16537,plain,
    multiply(identity,identity) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_16533,c_16533,c_16372]) ).

tff(c_16549,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_16537]) ).

tff(c_16042,plain,
    multiply(sk_c8,identity) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_16030,c_15294]) ).

tff(c_16048,plain,
    sk_c8 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_15314,c_16042]) ).

tff(c_16065,plain,
    multiply(sk_c1,sk_c9) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_16048,c_138]) ).

tff(c_16063,plain,
    inverse(sk_c5) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_16048,c_15175]) ).

tff(c_16058,plain,
    multiply(sk_c5,sk_c1) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_16048,c_15219]) ).

tff(c_16191,plain,
    ! [X_223,Z_224] : ( multiply(inverse(X_223),multiply(X_223,Z_224)) = Z_224 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_15283]) ).

tff(c_16209,plain,
    multiply(inverse(sk_c5),sk_c9) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_16058,c_16191]) ).

tff(c_16261,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_16065,c_16063,c_16209]) ).

tff(c_16053,plain,
    multiply(sk_c1,sk_c1) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_16048,c_16048,c_15532]) ).

tff(c_16278,plain,
    multiply(identity,identity) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_16261,c_16261,c_16053]) ).

tff(c_16289,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_16278]) ).

tff(c_15551,plain,
    multiply(sk_c1,identity) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_15525,c_15502]) ).

tff(c_15555,plain,
    multiply(sk_c9,sk_c8) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_15551,c_15506]) ).

tff(c_15566,plain,
    multiply(sk_c8,identity) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_15555,c_15294]) ).

tff(c_15572,plain,
    sk_c8 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_15314,c_15566]) ).

tff(c_15589,plain,
    multiply(sk_c1,sk_c9) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_15572,c_138]) ).

tff(c_15587,plain,
    inverse(sk_c5) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_15572,c_15175]) ).

tff(c_15582,plain,
    multiply(sk_c5,sk_c1) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_15572,c_15219]) ).

tff(c_15729,plain,
    ! [X_219,Z_220] : ( multiply(inverse(X_219),multiply(X_219,Z_220)) = Z_220 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_15283]) ).

tff(c_15762,plain,
    multiply(inverse(sk_c5),sk_c9) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_15582,c_15729]) ).

tff(c_15809,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_15589,c_15587,c_15762]) ).

tff(c_15590,plain,
    inverse(sk_c9) = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_15572,c_134]) ).

tff(c_15322,plain,
    ! [X4_12,X1_10,X7_9,X6_7,X2_11] :
      ( ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
      | ( multiply(X7_9,inverse(X7_9)) != sk_c8 )
      | ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c9 )
      | ( multiply(X1_10,sk_c8) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
      | ( multiply(X4_12,sk_c8) != sk_c9 )
      | ( inverse(X4_12) != sk_c9 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_134,c_92]) ).

tff(c_15422,plain,
    ! [X4_214] :
      ( ( multiply(X4_214,sk_c8) != sk_c9 )
      | ( inverse(X4_214) != sk_c9 ) ),
    inference(splitLeft,[status(thm)],[c_15322]) ).

tff(c_15435,plain,
    inverse(sk_c1) != sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_15199,c_15422]) ).

tff(c_15450,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_122,c_15435]) ).

tff(c_15451,plain,
    ! [X6_7,X1_10,X2_11,X7_9] :
      ( ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
      | ( multiply(X1_10,sk_c8) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c9 )
      | ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
      | ( multiply(X7_9,inverse(X7_9)) != sk_c8 ) ),
    inference(splitRight,[status(thm)],[c_15322]) ).

tff(c_15550,plain,
    ! [X7_9] :
      ( ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
      | ( multiply(X7_9,inverse(X7_9)) != sk_c8 ) ),
    inference(splitLeft,[status(thm)],[c_15451]) ).

tff(c_15655,plain,
    ! [X7_218] :
      ( ( multiply(inverse(X7_218),sk_c9) != sk_c1 )
      | ( multiply(X7_218,inverse(X7_218)) != sk_c1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_15572,c_15572,c_15550]) ).

tff(c_15659,plain,
    ( ( multiply(sk_c1,sk_c9) != sk_c1 )
    | ( multiply(sk_c9,inverse(sk_c9)) != sk_c1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15590,c_15655]) ).

tff(c_15668,plain,
    ( ( sk_c1 != identity )
    | ( sk_c1 != identity ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_126,c_15590,c_15589,c_15659]) ).

tff(c_16024,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_15809,c_15809,c_15668]) ).

tff(c_16025,plain,
    ! [X2_11,X1_10,X6_7] :
      ( ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c9 )
      | ( multiply(X1_10,sk_c8) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 ) ),
    inference(splitRight,[status(thm)],[c_15451]) ).

tff(c_16038,plain,
    ! [X6_7] :
      ( ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 ) ),
    inference(splitLeft,[status(thm)],[c_16025]) ).

tff(c_16132,plain,
    ! [X6_222] :
      ( ( inverse(X6_222) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_222,sk_c9)) != sk_c1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_16048,c_16038]) ).

tff(c_16139,plain,
    ( ( inverse(sk_c1) != sk_c9 )
    | ( sk_c9 != sk_c1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15506,c_16132]) ).

tff(c_16155,plain,
    sk_c9 != sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_122,c_16139]) ).

tff(c_16274,plain,
    sk_c9 != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_16261,c_16155]) ).

tff(c_16348,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_16289,c_16274]) ).

tff(c_16349,plain,
    ! [X1_10,X2_11] :
      ( ( multiply(X1_10,sk_c8) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_16025]) ).

tff(c_16383,plain,
    ! [X1_10,X2_11] :
      ( ( multiply(X1_10,sk_c1) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X2_11) != sk_c1 )
      | ( multiply(X2_11,sk_c1) != sk_c9 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_16359,c_16359,c_16359,c_16349]) ).

tff(c_16384,plain,
    ! [X2_11] :
      ( ( inverse(X2_11) != sk_c1 )
      | ( multiply(X2_11,sk_c1) != sk_c9 ) ),
    inference(splitLeft,[status(thm)],[c_16383]) ).

tff(c_17360,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_16724,c_16549,c_16533,c_16533,c_16384]) ).

tff(c_16548,plain,
    inverse(identity) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_16533,c_122]) ).

tff(c_16577,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_16549,c_16548]) ).

tff(c_17362,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17360,c_16577]) ).

tff(c_17363,plain,
    ! [X1_10] :
      ( ( multiply(X1_10,sk_c1) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_16383]) ).

tff(c_18122,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_17553,c_17743,c_17553,c_17535,c_17363]) ).

tff(c_17552,plain,
    inverse(identity) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_17535,c_122]) ).

tff(c_17601,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_17553,c_17552]) ).

tff(c_18124,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_18122,c_17601]) ).

tff(c_18126,plain,
    multiply(sk_c1,sk_c8) != sk_c9,
    inference(splitRight,[status(thm)],[c_48]) ).

tff(c_18162,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_18198,plain,
    ! [Z_265] : ( multiply(sk_c8,multiply(sk_c9,Z_265)) = multiply(identity,Z_265) ),
    inference(superposition,[status(thm),theory(equality)],[c_138,c_18162]) ).

tff(c_18223,plain,
    ! [Z_266] : ( multiply(sk_c8,multiply(sk_c9,Z_266)) = Z_266 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18198]) ).

tff(c_18238,plain,
    multiply(sk_c8,identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_126,c_18223]) ).

tff(c_18235,plain,
    multiply(sk_c8,identity) = sk_c4,
    inference(superposition,[status(thm),theory(equality)],[c_14428,c_18223]) ).

tff(c_18266,plain,
    sk_c4 = sk_c1,
    inference(demodulation,[status(thm),theory(equality)],[c_18238,c_18235]) ).

tff(c_52,plain,
    ( ( multiply(sk_c4,sk_c8) = sk_c9 )
    | ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_131]) ).

tff(c_18140,plain,
    multiply(sk_c4,sk_c8) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_15156,c_52]) ).

tff(c_18267,plain,
    multiply(sk_c1,sk_c8) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_18266,c_18140]) ).

tff(c_18271,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_18126,c_18267]) ).

tff(c_18273,plain,
    inverse(sk_c9) != sk_c8,
    inference(splitRight,[status(thm)],[c_18]) ).

tff(c_16,plain,
    ( ( multiply(sk_c6,sk_c7) = sk_c8 )
    | ( inverse(sk_c9) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_18324,plain,
    multiply(sk_c6,sk_c7) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_18273,c_16]) ).

tff(c_18272,plain,
    inverse(sk_c6) = sk_c7,
    inference(splitRight,[status(thm)],[c_18]) ).

tff(c_18277,plain,
    multiply(sk_c7,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_18272,c_4]) ).

tff(c_18361,plain,
    ! [X_267,Y_268,Z_269] : ( multiply(multiply(X_267,Y_268),Z_269) = multiply(X_267,multiply(Y_268,Z_269)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_18394,plain,
    ! [Z_269] : ( multiply(sk_c7,multiply(sk_c6,Z_269)) = multiply(identity,Z_269) ),
    inference(superposition,[status(thm),theory(equality)],[c_18277,c_18361]) ).

tff(c_18444,plain,
    ! [Z_272] : ( multiply(sk_c7,multiply(sk_c6,Z_272)) = Z_272 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18394]) ).

tff(c_18456,plain,
    multiply(sk_c7,sk_c8) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_18324,c_18444]) ).

tff(c_18403,plain,
    ! [X_2,Z_269] : ( multiply(inverse(X_2),multiply(X_2,Z_269)) = multiply(identity,Z_269) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_18361]) ).

tff(c_18513,plain,
    ! [X_275,Z_276] : ( multiply(inverse(X_275),multiply(X_275,Z_276)) = Z_276 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18403]) ).

tff(c_18543,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_18456,c_18513]) ).

tff(c_18608,plain,
    sk_c8 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_18543]) ).

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

tff(c_18337,plain,
    multiply(sk_c5,sk_c8) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_18273,c_12]) ).

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

tff(c_18299,plain,
    inverse(sk_c5) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_18273,c_14]) ).

tff(c_18303,plain,
    multiply(sk_c8,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_18299,c_4]) ).

tff(c_18388,plain,
    ! [Z_269] : ( multiply(sk_c8,multiply(sk_c5,Z_269)) = multiply(identity,Z_269) ),
    inference(superposition,[status(thm),theory(equality)],[c_18303,c_18361]) ).

tff(c_18467,plain,
    ! [Z_273] : ( multiply(sk_c8,multiply(sk_c5,Z_273)) = Z_273 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18388]) ).

tff(c_18479,plain,
    multiply(sk_c8,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_18337,c_18467]) ).

tff(c_18537,plain,
    multiply(inverse(sk_c8),sk_c8) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_18479,c_18513]) ).

tff(c_18607,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_18537]) ).

tff(c_18627,plain,
    inverse(identity) != sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_18607,c_18273]) ).

tff(c_18713,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_18608,c_18627]) ).

tff(c_18629,plain,
    inverse(sk_c1) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_18607,c_122]) ).

tff(c_18709,plain,
    multiply(identity,sk_c1) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_18629,c_4]) ).

tff(c_18416,plain,
    ! [X_2,Z_269] : ( multiply(inverse(X_2),multiply(X_2,Z_269)) = Z_269 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18403]) ).

tff(c_18774,plain,
    multiply(inverse(identity),identity) = sk_c1,
    inference(superposition,[status(thm),theory(equality)],[c_18709,c_18416]) ).

tff(c_18786,plain,
    sk_c1 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_18774]) ).

tff(c_18790,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_18786,c_18629]) ).

tff(c_18793,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_18713,c_18790]) ).

tff(c_18795,plain,
    inverse(sk_c1) != sk_c9,
    inference(splitRight,[status(thm)],[c_32]) ).

tff(c_30,plain,
    ( ( multiply(sk_c6,sk_c7) = sk_c8 )
    | ( inverse(sk_c1) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_20922,plain,
    multiply(sk_c6,sk_c7) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_18795,c_30]) ).

tff(c_18794,plain,
    inverse(sk_c6) = sk_c7,
    inference(splitRight,[status(thm)],[c_32]) ).

tff(c_18799,plain,
    multiply(sk_c7,sk_c6) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_18794,c_4]) ).

tff(c_20969,plain,
    ! [X_324,Y_325,Z_326] : ( multiply(multiply(X_324,Y_325),Z_326) = multiply(X_324,multiply(Y_325,Z_326)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_21002,plain,
    ! [Z_326] : ( multiply(sk_c7,multiply(sk_c6,Z_326)) = multiply(identity,Z_326) ),
    inference(superposition,[status(thm),theory(equality)],[c_18799,c_20969]) ).

tff(c_21108,plain,
    ! [Z_331] : ( multiply(sk_c7,multiply(sk_c6,Z_331)) = Z_331 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_21002]) ).

tff(c_21129,plain,
    multiply(sk_c7,sk_c8) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_20922,c_21108]) ).

tff(c_26,plain,
    ( ( multiply(sk_c5,sk_c8) = sk_c9 )
    | ( inverse(sk_c1) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_92]) ).

tff(c_20927,plain,
    multiply(sk_c5,sk_c8) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_18795,c_26]) ).

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

tff(c_18807,plain,
    inverse(sk_c5) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_18795,c_28]) ).

tff(c_18811,plain,
    multiply(sk_c8,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_18807,c_4]) ).

tff(c_20999,plain,
    ! [Z_326] : ( multiply(sk_c8,multiply(sk_c5,Z_326)) = multiply(identity,Z_326) ),
    inference(superposition,[status(thm),theory(equality)],[c_18811,c_20969]) ).

tff(c_21045,plain,
    ! [Z_328] : ( multiply(sk_c8,multiply(sk_c5,Z_328)) = Z_328 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_20999]) ).

tff(c_21057,plain,
    multiply(sk_c8,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_20927,c_21045]) ).

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

tff(c_20940,plain,
    multiply(sk_c7,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_18795,c_34]) ).

tff(c_21081,plain,
    ! [Z_330] : ( multiply(sk_c6,multiply(sk_c7,Z_330)) = multiply(sk_c8,Z_330) ),
    inference(superposition,[status(thm),theory(equality)],[c_20922,c_20969]) ).

tff(c_21093,plain,
    multiply(sk_c8,sk_c9) = multiply(sk_c6,sk_c8),
    inference(superposition,[status(thm),theory(equality)],[c_20940,c_21081]) ).

tff(c_21100,plain,
    multiply(sk_c6,sk_c8) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_21057,c_21093]) ).

tff(c_21123,plain,
    multiply(sk_c7,sk_c8) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_21100,c_21108]) ).

tff(c_21144,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_21129,c_21123]) ).

tff(c_20990,plain,
    ! [Z_326] : ( multiply(sk_c6,multiply(sk_c7,Z_326)) = multiply(sk_c8,Z_326) ),
    inference(superposition,[status(thm),theory(equality)],[c_20922,c_20969]) ).

tff(c_21136,plain,
    multiply(sk_c8,sk_c8) = multiply(sk_c6,sk_c7),
    inference(superposition,[status(thm),theory(equality)],[c_21129,c_20990]) ).

tff(c_21142,plain,
    multiply(sk_c8,sk_c8) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_20922,c_21136]) ).

tff(c_21230,plain,
    multiply(sk_c7,sk_c7) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_21144,c_21144,c_21144,c_21142]) ).

tff(c_21008,plain,
    ! [X_2,Z_326] : ( multiply(inverse(X_2),multiply(X_2,Z_326)) = multiply(identity,Z_326) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_20969]) ).

tff(c_21020,plain,
    ! [X_2,Z_326] : ( multiply(inverse(X_2),multiply(X_2,Z_326)) = Z_326 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_21008]) ).

tff(c_21234,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_21230,c_21020]) ).

tff(c_21240,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_21234]) ).

tff(c_21157,plain,
    inverse(sk_c5) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_21144,c_18807]) ).

tff(c_21226,plain,
    multiply(sk_c7,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_21157,c_4]) ).

tff(c_21254,plain,
    sk_c5 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_21240,c_21226]) ).

tff(c_21243,plain,
    inverse(sk_c5) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_21240,c_21157]) ).

tff(c_21263,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_21254,c_21243]) ).

tff(c_21245,plain,
    sk_c8 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_21240,c_21144]) ).

tff(c_20984,plain,
    ! [Z_326] : ( multiply(sk_c7,multiply(sk_c9,Z_326)) = multiply(sk_c8,Z_326) ),
    inference(superposition,[status(thm),theory(equality)],[c_20940,c_20969]) ).

tff(c_21288,plain,
    ! [Z_334] : ( multiply(sk_c9,Z_334) = Z_334 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_21245,c_2,c_21240,c_20984]) ).

tff(c_21309,plain,
    sk_c2 = identity,
    inference(superposition,[status(thm),theory(equality)],[c_21288,c_113]) ).

tff(c_21340,plain,
    inverse(identity) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_21309,c_109]) ).

tff(c_21343,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_21263,c_21340]) ).

tff(c_18865,plain,
    multiply(sk_c6,sk_c7) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_18795,c_30]) ).

tff(c_18895,plain,
    ! [X_279,Y_280,Z_281] : ( multiply(multiply(X_279,Y_280),Z_281) = multiply(X_279,multiply(Y_280,Z_281)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_18931,plain,
    ! [Z_281] : ( multiply(sk_c7,multiply(sk_c6,Z_281)) = multiply(identity,Z_281) ),
    inference(superposition,[status(thm),theory(equality)],[c_18799,c_18895]) ).

tff(c_19358,plain,
    ! [Z_292] : ( multiply(sk_c7,multiply(sk_c6,Z_292)) = Z_292 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18931]) ).

tff(c_19379,plain,
    multiply(sk_c7,sk_c8) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_18865,c_19358]) ).

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

tff(c_18852,plain,
    multiply(sk_c4,sk_c8) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_18795,c_24]) ).

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

tff(c_18834,plain,
    inverse(sk_c4) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_18795,c_22]) ).

tff(c_18838,plain,
    multiply(sk_c9,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_18834,c_4]) ).

tff(c_18922,plain,
    ! [Z_281] : ( multiply(sk_c9,multiply(sk_c4,Z_281)) = multiply(identity,Z_281) ),
    inference(superposition,[status(thm),theory(equality)],[c_18838,c_18895]) ).

tff(c_18952,plain,
    ! [Z_282] : ( multiply(sk_c9,multiply(sk_c4,Z_282)) = Z_282 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18922]) ).

tff(c_18964,plain,
    multiply(sk_c9,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_18852,c_18952]) ).

tff(c_8,plain,
    ( ( inverse(sk_c4) = sk_c9 )
    | ( inverse(sk_c9) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_18815,plain,
    inverse(sk_c9) = sk_c8,
    inference(splitLeft,[status(thm)],[c_8]) ).

tff(c_18819,plain,
    multiply(sk_c8,sk_c9) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_18815,c_4]) ).

tff(c_18925,plain,
    ! [Z_281] : ( multiply(sk_c8,multiply(sk_c9,Z_281)) = multiply(identity,Z_281) ),
    inference(superposition,[status(thm),theory(equality)],[c_18819,c_18895]) ).

tff(c_19264,plain,
    ! [Z_290] : ( multiply(sk_c8,multiply(sk_c9,Z_290)) = Z_290 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18925]) ).

tff(c_19276,plain,
    multiply(sk_c8,sk_c8) = sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_18964,c_19264]) ).

tff(c_18910,plain,
    ! [Z_281] : ( multiply(sk_c6,multiply(sk_c7,Z_281)) = multiply(sk_c8,Z_281) ),
    inference(superposition,[status(thm),theory(equality)],[c_18865,c_18895]) ).

tff(c_19492,plain,
    multiply(sk_c8,sk_c8) = multiply(sk_c6,sk_c7),
    inference(superposition,[status(thm),theory(equality)],[c_19379,c_18910]) ).

tff(c_19498,plain,
    sk_c9 = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_18865,c_19276,c_19492]) ).

tff(c_18859,plain,
    multiply(sk_c7,sk_c9) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_18795,c_34]) ).

tff(c_19504,plain,
    multiply(sk_c7,sk_c8) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_19498,c_18859]) ).

tff(c_19511,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_19379,c_19504]) ).

tff(c_19506,plain,
    multiply(sk_c8,sk_c8) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_19498,c_18819]) ).

tff(c_20252,plain,
    multiply(sk_c7,sk_c7) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_19511,c_19511,c_19506]) ).

tff(c_19523,plain,
    inverse(sk_c5) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_19511,c_18807]) ).

tff(c_18847,plain,
    multiply(sk_c5,sk_c8) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_18795,c_26]) ).

tff(c_19505,plain,
    multiply(sk_c5,sk_c8) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_19498,c_18847]) ).

tff(c_20244,plain,
    multiply(sk_c5,sk_c7) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_19511,c_19511,c_19505]) ).

tff(c_18937,plain,
    ! [X_2,Z_281] : ( multiply(inverse(X_2),multiply(X_2,Z_281)) = multiply(identity,Z_281) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_18895]) ).

tff(c_20261,plain,
    ! [X_310,Z_311] : ( multiply(inverse(X_310),multiply(X_310,Z_311)) = Z_311 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18937]) ).

tff(c_20282,plain,
    multiply(inverse(sk_c5),sk_c7) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_20244,c_20261]) ).

tff(c_20317,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_20252,c_19523,c_20282]) ).

tff(c_18950,plain,
    ! [X_2,Z_281] : ( multiply(inverse(X_2),multiply(X_2,Z_281)) = Z_281 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18937]) ).

tff(c_20505,plain,
    ! [X_314,Z_315] : ( multiply(inverse(inverse(X_314)),Z_315) = multiply(X_314,Z_315) ),
    inference(superposition,[status(thm),theory(equality)],[c_20261,c_18950]) ).

tff(c_20309,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_20261]) ).

tff(c_20512,plain,
    ! [X_314] : ( multiply(X_314,identity) = X_314 ),
    inference(superposition,[status(thm),theory(equality)],[c_20505,c_20309]) ).

tff(c_19642,plain,
    ! [X_296,Z_297] : ( multiply(inverse(X_296),multiply(X_296,Z_297)) = Z_297 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18937]) ).

tff(c_19846,plain,
    ! [X_300,Z_301] : ( multiply(inverse(inverse(X_300)),Z_301) = multiply(X_300,Z_301) ),
    inference(superposition,[status(thm),theory(equality)],[c_19642,c_18950]) ).

tff(c_19666,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_19642]) ).

tff(c_19853,plain,
    ! [X_300] : ( multiply(X_300,identity) = X_300 ),
    inference(superposition,[status(thm),theory(equality)],[c_19846,c_19666]) ).

tff(c_19590,plain,
    multiply(sk_c7,sk_c7) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_19511,c_19511,c_19506]) ).

tff(c_19517,plain,
    multiply(sk_c7,sk_c7) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_19511,c_19379]) ).

tff(c_19607,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_19590,c_19517]) ).

tff(c_19516,plain,
    sk_c9 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_19511,c_19498]) ).

tff(c_18948,plain,
    ! [Z_281] : ( multiply(sk_c7,multiply(sk_c6,Z_281)) = Z_281 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18931]) ).

tff(c_19387,plain,
    multiply(sk_c8,sk_c8) = multiply(sk_c6,sk_c7),
    inference(superposition,[status(thm),theory(equality)],[c_19379,c_18910]) ).

tff(c_19393,plain,
    sk_c9 = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_19276,c_18865,c_19387]) ).

tff(c_19399,plain,
    multiply(sk_c7,sk_c8) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_19393,c_18859]) ).

tff(c_19406,plain,
    sk_c8 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_19379,c_19399]) ).

tff(c_19411,plain,
    sk_c9 = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_19406,c_19393]) ).

tff(c_18928,plain,
    ! [Z_281] : ( multiply(sk_c8,multiply(sk_c5,Z_281)) = multiply(identity,Z_281) ),
    inference(superposition,[status(thm),theory(equality)],[c_18811,c_18895]) ).

tff(c_19001,plain,
    ! [Z_284] : ( multiply(sk_c8,multiply(sk_c5,Z_284)) = Z_284 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18928]) ).

tff(c_19013,plain,
    multiply(sk_c8,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_18847,c_19001]) ).

tff(c_19017,plain,
    sk_c8 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_18819,c_19013]) ).

tff(c_19023,plain,
    multiply(sk_c4,identity) = sk_c9,
    inference(demodulation,[status(thm),theory(equality)],[c_19017,c_18852]) ).

tff(c_18969,plain,
    ! [X4_12,X1_10,X7_9,X6_7,X2_11] :
      ( ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
      | ( multiply(X7_9,inverse(X7_9)) != sk_c8 )
      | ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c9 )
      | ( multiply(X1_10,sk_c8) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
      | ( multiply(X4_12,sk_c8) != sk_c9 )
      | ( inverse(X4_12) != sk_c9 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18815,c_92]) ).

tff(c_18970,plain,
    ! [X4_12] :
      ( ( multiply(X4_12,sk_c8) != sk_c9 )
      | ( inverse(X4_12) != sk_c9 ) ),
    inference(splitLeft,[status(thm)],[c_18969]) ).

tff(c_19033,plain,
    ! [X4_12] :
      ( ( multiply(X4_12,identity) != sk_c9 )
      | ( inverse(X4_12) != sk_c9 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_19017,c_18970]) ).

tff(c_19105,plain,
    inverse(sk_c4) != sk_c9,
    inference(superposition,[status(thm),theory(equality)],[c_19023,c_19033]) ).

tff(c_19117,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18834,c_19105]) ).

tff(c_19118,plain,
    ! [X6_7,X1_10,X2_11,X7_9] :
      ( ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
      | ( multiply(X1_10,sk_c8) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c9 )
      | ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
      | ( multiply(X7_9,inverse(X7_9)) != sk_c8 ) ),
    inference(splitRight,[status(thm)],[c_18969]) ).

tff(c_19246,plain,
    ! [X7_289] :
      ( ( multiply(inverse(X7_289),sk_c9) != sk_c8 )
      | ( multiply(X7_289,inverse(X7_289)) != sk_c8 ) ),
    inference(splitLeft,[status(thm)],[c_19118]) ).

tff(c_19252,plain,
    ( ( multiply(sk_c7,sk_c9) != sk_c8 )
    | ( multiply(sk_c6,inverse(sk_c6)) != sk_c8 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18794,c_19246]) ).

tff(c_19262,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18865,c_18794,c_18859,c_19252]) ).

tff(c_19263,plain,
    ! [X2_11,X1_10,X6_7] :
      ( ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c9 )
      | ( multiply(X1_10,sk_c8) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 ) ),
    inference(splitRight,[status(thm)],[c_19118]) ).

tff(c_19383,plain,
    ! [X6_7] :
      ( ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 ) ),
    inference(splitLeft,[status(thm)],[c_19263]) ).

tff(c_19467,plain,
    ! [X6_294] :
      ( ( inverse(X6_294) != sk_c7 )
      | ( multiply(sk_c7,multiply(X6_294,sk_c7)) != sk_c7 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_19411,c_19411,c_19406,c_19411,c_19383]) ).

tff(c_19471,plain,
    inverse(sk_c6) != sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_18948,c_19467]) ).

tff(c_19487,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18794,c_19471]) ).

tff(c_19488,plain,
    ! [X1_10,X2_11] :
      ( ( multiply(X1_10,sk_c8) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X2_11) != sk_c8 )
      | ( multiply(X2_11,sk_c8) != sk_c9 ) ),
    inference(splitRight,[status(thm)],[c_19263]) ).

tff(c_19571,plain,
    ! [X1_10,X2_11] :
      ( ( multiply(X1_10,sk_c7) != sk_c7 )
      | ( inverse(X1_10) != sk_c7 )
      | ( inverse(X2_11) != sk_c7 )
      | ( multiply(X2_11,sk_c7) != sk_c7 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_19516,c_19511,c_19511,c_19516,c_19516,c_19511,c_19488]) ).

tff(c_19572,plain,
    ! [X2_11] :
      ( ( inverse(X2_11) != sk_c7 )
      | ( multiply(X2_11,sk_c7) != sk_c7 ) ),
    inference(splitLeft,[status(thm)],[c_19571]) ).

tff(c_20231,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_19853,c_19607,c_19607,c_19607,c_19572]) ).

tff(c_19507,plain,
    inverse(sk_c8) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_19498,c_18815]) ).

tff(c_19556,plain,
    inverse(sk_c7) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_19511,c_19511,c_19507]) ).

tff(c_19613,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_19607,c_19607,c_19556]) ).

tff(c_20233,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_20231,c_19613]) ).

tff(c_20234,plain,
    ! [X1_10] :
      ( ( multiply(X1_10,sk_c7) != sk_c7 )
      | ( inverse(X1_10) != sk_c7 ) ),
    inference(splitRight,[status(thm)],[c_19571]) ).

tff(c_20889,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_20317,c_20512,c_20317,c_20317,c_20234]) ).

tff(c_19306,plain,
    ! [Z_291] : ( multiply(sk_c6,multiply(sk_c7,Z_291)) = multiply(sk_c8,Z_291) ),
    inference(superposition,[status(thm),theory(equality)],[c_18865,c_18895]) ).

tff(c_19318,plain,
    multiply(sk_c8,sk_c9) = multiply(sk_c6,sk_c8),
    inference(superposition,[status(thm),theory(equality)],[c_18859,c_19306]) ).

tff(c_19325,plain,
    multiply(sk_c6,sk_c8) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_18819,c_19318]) ).

tff(c_19373,plain,
    multiply(sk_c7,identity) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_19325,c_19358]) ).

tff(c_20235,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_19511,c_19373]) ).

tff(c_20303,plain,
    multiply(inverse(sk_c7),identity) = sk_c6,
    inference(superposition,[status(thm),theory(equality)],[c_18799,c_20261]) ).

tff(c_20320,plain,
    sk_c7 = sk_c6,
    inference(demodulation,[status(thm),theory(equality)],[c_20235,c_19556,c_20303]) ).

tff(c_20358,plain,
    sk_c6 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_20317,c_20320]) ).

tff(c_20326,plain,
    inverse(sk_c6) = sk_c6,
    inference(demodulation,[status(thm),theory(equality)],[c_20320,c_20320,c_19556]) ).

tff(c_20378,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_20358,c_20358,c_20326]) ).

tff(c_20891,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_20889,c_20378]) ).

tff(c_20893,plain,
    inverse(sk_c9) != sk_c8,
    inference(splitRight,[status(thm)],[c_8]) ).

tff(c_21156,plain,
    inverse(sk_c9) != sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_21144,c_20893]) ).

tff(c_21244,plain,
    inverse(sk_c9) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_21240,c_21156]) ).

tff(c_21368,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_21343,c_21244]) ).

tff(c_21373,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_21263,c_21368]) ).

tff(c_21375,plain,
    inverse(sk_c2) != sk_c9,
    inference(splitRight,[status(thm)],[c_78]) ).

tff(c_88,plain,
    ( ( inverse(sk_c6) = sk_c7 )
    | ( inverse(sk_c2) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_185]) ).

tff(c_21387,plain,
    inverse(sk_c6) = sk_c7,
    inference(negUnitSimplification,[status(thm)],[c_21375,c_88]) ).

tff(c_21489,plain,
    ! [X_335,Y_336,Z_337] : ( multiply(multiply(X_335,Y_336),Z_337) = multiply(X_335,multiply(Y_336,Z_337)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_21531,plain,
    ! [X_2,Z_337] : ( multiply(inverse(X_2),multiply(X_2,Z_337)) = multiply(identity,Z_337) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_21489]) ).

tff(c_21544,plain,
    ! [X_2,Z_337] : ( multiply(inverse(X_2),multiply(X_2,Z_337)) = Z_337 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_21531]) ).

tff(c_21665,plain,
    ! [X_340,Z_341] : ( multiply(inverse(X_340),multiply(X_340,Z_341)) = Z_341 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_21531]) ).

tff(c_22069,plain,
    ! [X_348,Z_349] : ( multiply(inverse(inverse(X_348)),Z_349) = multiply(X_348,Z_349) ),
    inference(superposition,[status(thm),theory(equality)],[c_21544,c_21665]) ).

tff(c_22117,plain,
    ! [X_348] : ( multiply(X_348,inverse(X_348)) = identity ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_22069]) ).

tff(c_21695,plain,
    ! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_21665]) ).

tff(c_22086,plain,
    ! [X_348] : ( multiply(X_348,identity) = X_348 ),
    inference(superposition,[status(thm),theory(equality)],[c_22069,c_21695]) ).

tff(c_21401,plain,
    inverse(sk_c9) = sk_c8,
    inference(splitLeft,[status(thm)],[c_14]) ).

tff(c_21406,plain,
    multiply(sk_c8,sk_c9) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_21401,c_4]) ).

tff(c_82,plain,
    ( ( multiply(sk_c5,sk_c8) = sk_c9 )
    | ( inverse(sk_c2) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_176]) ).

tff(c_21466,plain,
    multiply(sk_c5,sk_c8) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_21375,c_82]) ).

tff(c_84,plain,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( inverse(sk_c2) = sk_c9 ) ),
    inference(cnfTransformation,[status(thm)],[f_179]) ).

tff(c_21414,plain,
    inverse(sk_c5) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_21375,c_84]) ).

tff(c_21418,plain,
    multiply(sk_c8,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_21414,c_4]) ).

tff(c_21519,plain,
    ! [Z_337] : ( multiply(sk_c8,multiply(sk_c5,Z_337)) = multiply(identity,Z_337) ),
    inference(superposition,[status(thm),theory(equality)],[c_21418,c_21489]) ).

tff(c_21546,plain,
    ! [Z_338] : ( multiply(sk_c8,multiply(sk_c5,Z_338)) = Z_338 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_21519]) ).

tff(c_21558,plain,
    multiply(sk_c8,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_21466,c_21546]) ).

tff(c_21562,plain,
    sk_c8 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_21406,c_21558]) ).

tff(c_21570,plain,
    multiply(identity,sk_c9) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_21562,c_21406]) ).

tff(c_21643,plain,
    sk_c9 = identity,
    inference(superposition,[status(thm),theory(equality)],[c_21570,c_2]) ).

tff(c_21571,plain,
    inverse(sk_c9) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_21562,c_21401]) ).

tff(c_21576,plain,
    ! [X4_12,X1_10,X7_9,X6_7,X2_11] :
      ( ( multiply(inverse(X7_9),sk_c9) != identity )
      | ( multiply(X7_9,inverse(X7_9)) != identity )
      | ( inverse(X2_11) != identity )
      | ( multiply(X2_11,identity) != sk_c9 )
      | ( multiply(X1_10,identity) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != identity )
      | ( multiply(X4_12,identity) != sk_c9 )
      | ( inverse(X4_12) != sk_c9 )
      | ( inverse(sk_c9) != identity ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_21562,c_21562,c_21562,c_21562,c_21562,c_21562,c_21562,c_21562,c_92]) ).

tff(c_21577,plain,
    inverse(sk_c9) != identity,
    inference(splitLeft,[status(thm)],[c_21576]) ).

tff(c_21593,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_21571,c_21577]) ).

tff(c_21594,plain,
    ! [X4_12,X1_10,X7_9,X6_7,X2_11] :
      ( ( multiply(X4_12,identity) != sk_c9 )
      | ( inverse(X4_12) != sk_c9 )
      | ( inverse(X6_7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X6_7,sk_c9)) != identity )
      | ( multiply(X1_10,identity) != sk_c9 )
      | ( inverse(X1_10) != sk_c9 )
      | ( inverse(X2_11) != identity )
      | ( multiply(X2_11,identity) != sk_c9 )
      | ( multiply(inverse(X7_9),sk_c9) != identity )
      | ( multiply(X7_9,inverse(X7_9)) != identity ) ),
    inference(splitRight,[status(thm)],[c_21576]) ).

tff(c_30185,plain,
    ! [X4_12,X1_10,X7_9,X6_7,X2_11] :
      ( ( identity != X4_12 )
      | ( inverse(X4_12) != identity )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( identity != X1_10 )
      | ( inverse(X1_10) != identity )
      | ( inverse(X2_11) != identity )
      | ( identity != X2_11 )
      | ( inverse(X7_9) != identity ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_22117,c_22086,c_21643,c_22086,c_21643,c_21643,c_22086,c_21643,c_22086,c_21643,c_2,c_21643,c_21643,c_21643,c_22086,c_21643,c_21594]) ).

tff(c_30186,plain,
    ! [X7_9] : ( inverse(X7_9) != identity ),
    inference(splitLeft,[status(thm)],[c_30185]) ).

tff(c_21595,plain,
    inverse(sk_c9) = identity,
    inference(splitRight,[status(thm)],[c_21576]) ).

tff(c_21652,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_21643,c_21595]) ).

tff(c_30188,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_30186,c_21652]) ).

tff(c_30189,plain,
    ! [X4_12,X6_7,X1_10,X2_11] :
      ( ( identity != X4_12 )
      | ( inverse(X4_12) != identity )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( identity != X1_10 )
      | ( inverse(X1_10) != identity )
      | ( inverse(X2_11) != identity )
      | ( identity != X2_11 ) ),
    inference(splitRight,[status(thm)],[c_30185]) ).

tff(c_39023,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_30189]) ).

tff(c_39025,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_39023,c_21652]) ).

tff(c_39026,plain,
    ! [X1_10,X6_7,X4_12] :
      ( ( identity != X1_10 )
      | ( inverse(X1_10) != identity )
      | ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( identity != X4_12 )
      | ( inverse(X4_12) != identity ) ),
    inference(splitRight,[status(thm)],[c_30189]) ).

tff(c_39036,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_39026]) ).

tff(c_39038,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_39036,c_21652]) ).

tff(c_39039,plain,
    ! [X6_7,X1_10] :
      ( ( inverse(X6_7) != identity )
      | ( identity != X6_7 )
      | ( identity != X1_10 )
      | ( inverse(X1_10) != identity ) ),
    inference(splitRight,[status(thm)],[c_39026]) ).

tff(c_39041,plain,
    inverse(identity) != identity,
    inference(splitLeft,[status(thm)],[c_39039]) ).

tff(c_39043,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_39041,c_21652]) ).

tff(c_39946,plain,
    inverse(identity) != identity,
    inference(splitRight,[status(thm)],[c_39039]) ).

tff(c_39948,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_39946,c_21652]) ).

tff(c_39950,plain,
    inverse(sk_c9) != sk_c8,
    inference(splitRight,[status(thm)],[c_14]) ).

tff(c_39996,plain,
    multiply(sk_c6,sk_c7) = sk_c8,
    inference(negUnitSimplification,[status(thm)],[c_39950,c_16]) ).

tff(c_40032,plain,
    ! [X_490,Y_491,Z_492] : ( multiply(multiply(X_490,Y_491),Z_492) = multiply(X_490,multiply(Y_491,Z_492)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_40071,plain,
    ! [X_2,Z_492] : ( multiply(inverse(X_2),multiply(X_2,Z_492)) = multiply(identity,Z_492) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_40032]) ).

tff(c_40188,plain,
    ! [X_496,Z_497] : ( multiply(inverse(X_496),multiply(X_496,Z_497)) = Z_497 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_40071]) ).

tff(c_40218,plain,
    multiply(inverse(sk_c6),sk_c8) = sk_c7,
    inference(superposition,[status(thm),theory(equality)],[c_39996,c_40188]) ).

tff(c_40240,plain,
    multiply(sk_c7,sk_c8) = sk_c7,
    inference(demodulation,[status(thm),theory(equality)],[c_21387,c_40218]) ).

tff(c_40083,plain,
    ! [X_2,Z_492] : ( multiply(inverse(X_2),multiply(X_2,Z_492)) = Z_492 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_40071]) ).

tff(c_40245,plain,
    multiply(inverse(sk_c7),sk_c7) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_40240,c_40083]) ).

tff(c_40251,plain,
    sk_c8 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_40245]) ).

tff(c_10,plain,
    ( ( multiply(sk_c4,sk_c8) = sk_c9 )
    | ( inverse(sk_c9) = sk_c8 ) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_40001,plain,
    multiply(sk_c4,sk_c8) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_39950,c_10]) ).

tff(c_21374,plain,
    inverse(sk_c4) = sk_c9,
    inference(splitRight,[status(thm)],[c_78]) ).

tff(c_21379,plain,
    multiply(sk_c9,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_21374,c_4]) ).

tff(c_40068,plain,
    ! [Z_492] : ( multiply(sk_c9,multiply(sk_c4,Z_492)) = multiply(identity,Z_492) ),
    inference(superposition,[status(thm),theory(equality)],[c_21379,c_40032]) ).

tff(c_40108,plain,
    ! [Z_494] : ( multiply(sk_c9,multiply(sk_c4,Z_494)) = Z_494 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_40068]) ).

tff(c_40120,plain,
    multiply(sk_c9,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_40001,c_40108]) ).

tff(c_40011,plain,
    multiply(sk_c5,sk_c8) = sk_c9,
    inference(negUnitSimplification,[status(thm)],[c_39950,c_12]) ).

tff(c_39949,plain,
    inverse(sk_c5) = sk_c8,
    inference(splitRight,[status(thm)],[c_14]) ).

tff(c_39954,plain,
    multiply(sk_c8,sk_c5) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_39949,c_4]) ).

tff(c_40062,plain,
    ! [Z_492] : ( multiply(sk_c8,multiply(sk_c5,Z_492)) = multiply(identity,Z_492) ),
    inference(superposition,[status(thm),theory(equality)],[c_39954,c_40032]) ).

tff(c_40085,plain,
    ! [Z_493] : ( multiply(sk_c8,multiply(sk_c5,Z_493)) = Z_493 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_40062]) ).

tff(c_40097,plain,
    multiply(sk_c8,sk_c9) = sk_c8,
    inference(superposition,[status(thm),theory(equality)],[c_40011,c_40085]) ).

tff(c_40131,plain,
    ! [Z_495] : ( multiply(sk_c4,multiply(sk_c8,Z_495)) = multiply(sk_c9,Z_495) ),
    inference(superposition,[status(thm),theory(equality)],[c_40001,c_40032]) ).

tff(c_40146,plain,
    multiply(sk_c9,sk_c9) = multiply(sk_c4,sk_c8),
    inference(superposition,[status(thm),theory(equality)],[c_40097,c_40131]) ).

tff(c_40156,plain,
    sk_c9 = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_40120,c_40001,c_40146]) ).

tff(c_40169,plain,
    inverse(sk_c4) = sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_40156,c_21374]) ).

tff(c_40177,plain,
    multiply(sk_c8,sk_c4) = identity,
    inference(superposition,[status(thm),theory(equality)],[c_40169,c_4]) ).

tff(c_40271,plain,
    sk_c4 = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_40251,c_40177]) ).

tff(c_40255,plain,
    inverse(sk_c4) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_40251,c_40169]) ).

tff(c_40286,plain,
    inverse(identity) = identity,
    inference(demodulation,[status(thm),theory(equality)],[c_40271,c_40255]) ).

tff(c_40166,plain,
    inverse(sk_c8) != sk_c8,
    inference(demodulation,[status(thm),theory(equality)],[c_40156,c_39950]) ).

tff(c_40257,plain,
    inverse(identity) != identity,
    inference(demodulation,[status(thm),theory(equality)],[c_40251,c_40251,c_40166]) ).

tff(c_40300,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_40286,c_40257]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : GRP239-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36  % Computer : n016.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 22:54:23 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 15.86/5.75  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.86/5.82  
% 15.86/5.82  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.86/5.90  
% 15.86/5.90  Inference rules
% 15.86/5.90  ----------------------
% 15.86/5.90  #Ref     : 0
% 15.86/5.90  #Sup     : 9895
% 15.86/5.90  #Fact    : 0
% 15.86/5.90  #Define  : 0
% 15.86/5.90  #Split   : 40
% 15.86/5.90  #Chain   : 0
% 15.86/5.90  #Close   : 0
% 15.86/5.90  
% 15.86/5.90  Ordering : KBO
% 15.86/5.90  
% 15.86/5.90  Simplification rules
% 15.86/5.90  ----------------------
% 15.86/5.90  #Subsume      : 13
% 15.86/5.90  #Demod        : 24947
% 15.86/5.90  #Tautology    : 8263
% 15.86/5.90  #SimpNegUnit  : 105
% 15.86/5.90  #BackRed      : 615
% 15.86/5.90  
% 15.86/5.90  #Partial instantiations: 0
% 15.86/5.90  #Strategies tried      : 1
% 15.86/5.90  
% 15.86/5.90  Timing (in seconds)
% 15.86/5.90  ----------------------
% 15.86/5.91  Preprocessing        : 0.57
% 15.86/5.91  Parsing              : 0.22
% 15.86/5.91  CNF conversion       : 0.03
% 15.86/5.91  Main loop            : 4.02
% 15.86/5.91  Inferencing          : 1.11
% 15.86/5.91  Reduction            : 2.18
% 15.86/5.91  Demodulation         : 1.97
% 15.86/5.91  BG Simplification    : 0.11
% 15.86/5.91  Subsumption          : 0.39
% 15.86/5.91  Abstraction          : 0.22
% 15.86/5.91  MUC search           : 0.00
% 15.86/5.91  Cooper               : 0.00
% 15.86/5.91  Total                : 4.76
% 15.86/5.91  Index Insertion      : 0.00
% 15.86/5.91  Index Deletion       : 0.00
% 15.86/5.91  Index Matching       : 0.00
% 15.86/5.91  BG Taut test         : 0.00
%------------------------------------------------------------------------------