TSTP Solution File: GRP382-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP382-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:41:08 EDT 2023
% Result : Unsatisfiable 28.21s 14.05s
% Output : CNFRefutation 28.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 66
% Syntax : Number of formulae : 905 ( 740 unt; 15 typ; 0 def)
% Number of atoms : 1234 (1200 equ)
% Maximal formula atoms : 17 ( 1 avg)
% Number of connectives : 709 ( 365 ~; 344 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 477 (; 477 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c12 > sk_c11 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c11,type,
sk_c11: $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(sk_c12,type,
sk_c12: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c12) = sk_c11 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_239,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_269,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c11 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c11,sk_c10) = sk_c12 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_323,axiom,
! [X5,X6,X3,X9,X7,X1,X2,X8,X4] :
( ( inverse(sk_c12) != sk_c11 )
| ( multiply(sk_c11,sk_c10) != sk_c12 )
| ( inverse(X4) != sk_c12 )
| ( multiply(X4,sk_c11) != sk_c12 )
| ( multiply(X5,X6) != sk_c11 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c12) != sk_c11 )
| ( multiply(X1,sk_c12) != sk_c11 )
| ( inverse(X1) != sk_c12 )
| ( multiply(X2,sk_c11) != sk_c10 )
| ( inverse(X2) != sk_c11 )
| ( multiply(X7,X3) != sk_c12 )
| ( inverse(X7) != X3 )
| ( multiply(X3,sk_c11) != sk_c12 )
| ( inverse(X8) != X9 )
| ( inverse(X9) != X3 )
| ( multiply(X8,X3) != X9 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_254,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c11 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_251,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c11 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_248,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_245,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c11,sk_c10) = sk_c12 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c11,sk_c10) = sk_c12 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c11,sk_c10) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c11,sk_c10) = sk_c12 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c11,sk_c10) = sk_c12 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_260,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c11 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c11 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c11 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c11 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c12) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c12) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c12) = sk_c11 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c12) = sk_c11 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c12) = sk_c11 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_230,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_218,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_215,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_233,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_236,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_242,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_18,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_190,plain,
inverse(sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_194,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_190,c_4]) ).
tff(c_64,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_178,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_182,plain,
multiply(sk_c12,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_178,c_4]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_103022,plain,
! [X_739,Y_740,Z_741] : ( multiply(multiply(X_739,Y_740),Z_741) = multiply(X_739,multiply(Y_740,Z_741)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_103070,plain,
! [Z_741] : ( multiply(sk_c11,multiply(sk_c12,Z_741)) = multiply(identity,Z_741) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_103022]) ).
tff(c_103097,plain,
! [Z_742] : ( multiply(sk_c11,multiply(sk_c12,Z_742)) = Z_742 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_103070]) ).
tff(c_103112,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_182,c_103097]) ).
tff(c_98059,plain,
! [X_656,Y_657,Z_658] : ( multiply(multiply(X_656,Y_657),Z_658) = multiply(X_656,multiply(Y_657,Z_658)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_98110,plain,
! [Z_658] : ( multiply(sk_c11,multiply(sk_c12,Z_658)) = multiply(identity,Z_658) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_98059]) ).
tff(c_98521,plain,
! [Z_667] : ( multiply(sk_c11,multiply(sk_c12,Z_667)) = Z_667 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98110]) ).
tff(c_98536,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_182,c_98521]) ).
tff(c_54648,plain,
! [X_344,Y_345,Z_346] : ( multiply(multiply(X_344,Y_345),Z_346) = multiply(X_344,multiply(Y_345,Z_346)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_54711,plain,
! [X_2,Z_346] : ( multiply(inverse(X_2),multiply(X_2,Z_346)) = multiply(identity,Z_346) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_54648]) ).
tff(c_68045,plain,
! [X_492,Z_493] : ( multiply(inverse(X_492),multiply(X_492,Z_493)) = Z_493 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54711]) ).
tff(c_54727,plain,
! [X_2,Z_346] : ( multiply(inverse(X_2),multiply(X_2,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54711]) ).
tff(c_68625,plain,
! [X_498,Z_499] : ( multiply(inverse(inverse(X_498)),Z_499) = multiply(X_498,Z_499) ),
inference(superposition,[status(thm),theory(equality)],[c_68045,c_54727]) ).
tff(c_68129,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_68045]) ).
tff(c_68635,plain,
! [X_498] : ( multiply(X_498,identity) = X_498 ),
inference(superposition,[status(thm),theory(equality)],[c_68625,c_68129]) ).
tff(c_90,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c2,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_213,plain,
multiply(sk_c2,sk_c3) = sk_c11,
inference(splitLeft,[status(thm)],[c_90]) ).
tff(c_124,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_165,plain,
inverse(sk_c2) = sk_c3,
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_169,plain,
multiply(sk_c3,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_165,c_4]) ).
tff(c_54708,plain,
! [Z_346] : ( multiply(sk_c3,multiply(sk_c2,Z_346)) = multiply(identity,Z_346) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_54648]) ).
tff(c_54935,plain,
! [Z_352] : ( multiply(sk_c3,multiply(sk_c2,Z_352)) = Z_352 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54708]) ).
tff(c_54947,plain,
multiply(sk_c3,sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_213,c_54935]) ).
tff(c_68078,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54947,c_68045]) ).
tff(c_68139,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_68078]) ).
tff(c_53741,plain,
! [X_330,Y_331,Z_332] : ( multiply(multiply(X_330,Y_331),Z_332) = multiply(X_330,multiply(Y_331,Z_332)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_53795,plain,
! [Z_332] : ( multiply(sk_c11,multiply(sk_c12,Z_332)) = multiply(identity,Z_332) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_53741]) ).
tff(c_53822,plain,
! [Z_333] : ( multiply(sk_c11,multiply(sk_c12,Z_333)) = Z_333 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53795]) ).
tff(c_53837,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_182,c_53822]) ).
tff(c_284,plain,
! [X_17,Y_18,Z_19] : ( multiply(multiply(X_17,Y_18),Z_19) = multiply(X_17,multiply(Y_18,Z_19)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_320,plain,
! [X_2,Z_19] : ( multiply(inverse(X_2),multiply(X_2,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_284]) ).
tff(c_331,plain,
! [X_2,Z_19] : ( multiply(inverse(X_2),multiply(X_2,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320]) ).
tff(c_53111,plain,
! [X_317,Z_318] : ( multiply(inverse(X_317),multiply(X_317,Z_318)) = Z_318 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320]) ).
tff(c_53226,plain,
! [X_320,Z_321] : ( multiply(inverse(inverse(X_320)),Z_321) = multiply(X_320,Z_321) ),
inference(superposition,[status(thm),theory(equality)],[c_331,c_53111]) ).
tff(c_53135,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53111]) ).
tff(c_53233,plain,
! [X_320] : ( multiply(X_320,identity) = X_320 ),
inference(superposition,[status(thm),theory(equality)],[c_53226,c_53135]) ).
tff(c_52773,plain,
! [X_307,Z_308] : ( multiply(inverse(X_307),multiply(X_307,Z_308)) = Z_308 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320]) ).
tff(c_52844,plain,
! [X_310,Z_311] : ( multiply(inverse(inverse(X_310)),Z_311) = multiply(X_310,Z_311) ),
inference(superposition,[status(thm),theory(equality)],[c_331,c_52773]) ).
tff(c_52797,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_52773]) ).
tff(c_52851,plain,
! [X_310] : ( multiply(X_310,identity) = X_310 ),
inference(superposition,[status(thm),theory(equality)],[c_52844,c_52797]) ).
tff(c_314,plain,
! [Z_19] : ( multiply(sk_c12,multiply(sk_c1,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_182,c_284]) ).
tff(c_530,plain,
! [Z_26] : ( multiply(sk_c12,multiply(sk_c1,Z_26)) = Z_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_314]) ).
tff(c_311,plain,
! [Z_19] : ( multiply(sk_c11,multiply(sk_c12,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_284]) ).
tff(c_328,plain,
! [Z_19] : ( multiply(sk_c11,multiply(sk_c12,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_311]) ).
tff(c_602,plain,
! [Z_29] : ( multiply(sk_c11,Z_29) = multiply(sk_c1,Z_29) ),
inference(superposition,[status(thm),theory(equality)],[c_530,c_328]) ).
tff(c_626,plain,
multiply(sk_c1,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_602,c_194]) ).
tff(c_317,plain,
! [Z_19] : ( multiply(sk_c3,multiply(sk_c2,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_284]) ).
tff(c_579,plain,
! [Z_28] : ( multiply(sk_c3,multiply(sk_c2,Z_28)) = Z_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_317]) ).
tff(c_591,plain,
multiply(sk_c3,sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_213,c_579]) ).
tff(c_82,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_225,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_545,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_225,c_530]) ).
tff(c_536,plain,
! [Z_26] : ( multiply(sk_c11,Z_26) = multiply(sk_c1,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_530,c_328]) ).
tff(c_144,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( multiply(sk_c3,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_224,plain,
multiply(sk_c3,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_144]) ).
tff(c_302,plain,
! [Z_19] : ( multiply(sk_c3,multiply(sk_c12,Z_19)) = multiply(sk_c11,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_224,c_284]) ).
tff(c_52519,plain,
! [Z_305] : ( multiply(sk_c3,multiply(sk_c12,Z_305)) = multiply(sk_c1,Z_305) ),
inference(demodulation,[status(thm),theory(equality)],[c_536,c_302]) ).
tff(c_52531,plain,
multiply(sk_c3,sk_c11) = multiply(sk_c1,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_545,c_52519]) ).
tff(c_52541,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_626,c_591,c_52531]) ).
tff(c_52543,plain,
multiply(identity,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52541,c_52541,c_591]) ).
tff(c_52577,plain,
sk_c11 = identity,
inference(superposition,[status(thm),theory(equality)],[c_52543,c_2]) ).
tff(c_552,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_545,c_328]) ).
tff(c_52680,plain,
multiply(identity,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_52577,c_52577,c_552]) ).
tff(c_52691,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52680]) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c11,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_218,plain,
multiply(sk_c11,sk_c10) = sk_c12,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_52685,plain,
multiply(identity,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_52577,c_218]) ).
tff(c_52694,plain,
sk_c12 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52685]) ).
tff(c_52718,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52691,c_52694]) ).
tff(c_333,plain,
! [Z_20] : ( multiply(sk_c11,multiply(sk_c12,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_311]) ).
tff(c_345,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_182,c_333]) ).
tff(c_52591,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_52577,c_345]) ).
tff(c_52601,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52591]) ).
tff(c_614,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_602,c_345]) ).
tff(c_52593,plain,
multiply(sk_c1,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_52577,c_225]) ).
tff(c_52602,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_614,c_52593]) ).
tff(c_52613,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_52602,c_178]) ).
tff(c_52664,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52601,c_52601,c_52613]) ).
tff(c_52589,plain,
multiply(identity,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_52577,c_52577,c_552]) ).
tff(c_52600,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52589]) ).
tff(c_690,plain,
! [Z_30] : ( multiply(sk_c3,multiply(sk_c12,Z_30)) = multiply(sk_c1,Z_30) ),
inference(demodulation,[status(thm),theory(equality)],[c_536,c_302]) ).
tff(c_702,plain,
multiply(sk_c3,sk_c11) = multiply(sk_c1,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_545,c_690]) ).
tff(c_712,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_626,c_591,c_702]) ).
tff(c_714,plain,
multiply(identity,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_712,c_712,c_591]) ).
tff(c_738,plain,
sk_c11 = identity,
inference(superposition,[status(thm),theory(equality)],[c_714,c_2]) ).
tff(c_749,plain,
multiply(identity,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_738,c_738,c_552]) ).
tff(c_760,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_749]) ).
tff(c_756,plain,
inverse(sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_738,c_190]) ).
tff(c_814,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_760,c_756]) ).
tff(c_833,plain,
! [X_33,Z_34] : ( multiply(inverse(X_33),multiply(X_33,Z_34)) = Z_34 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320]) ).
tff(c_947,plain,
! [X_36,Z_37] : ( multiply(inverse(inverse(X_36)),Z_37) = multiply(X_36,Z_37) ),
inference(superposition,[status(thm),theory(equality)],[c_331,c_833]) ).
tff(c_863,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_833]) ).
tff(c_954,plain,
! [X_36] : ( multiply(X_36,identity) = X_36 ),
inference(superposition,[status(thm),theory(equality)],[c_947,c_863]) ).
tff(c_148,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c12) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(sk_c11,sk_c10) != sk_c12 )
| ( inverse(sk_c12) != sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_358,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c12) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 )
| ( inverse(X4_14) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_218,c_148]) ).
tff(c_496,plain,
! [X4_25] :
( ( multiply(X4_25,sk_c11) != sk_c12 )
| ( inverse(X4_25) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_358]) ).
tff(c_513,plain,
inverse(sk_c1) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_225,c_496]) ).
tff(c_528,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_178,c_513]) ).
tff(c_529,plain,
! [X5_6,X2_12,X8_13,X7_10,X1_11] :
( ( multiply(inverse(X5_6),sk_c12) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_358]) ).
tff(c_666,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_529]) ).
tff(c_769,plain,
! [X8_31,X7_32] :
( ( inverse(multiply(X8_31,inverse(X7_32))) != inverse(X7_32) )
| ( multiply(X8_31,inverse(X7_32)) != inverse(X8_31) )
| ( multiply(inverse(X7_32),identity) != sk_c12 )
| ( multiply(X7_32,inverse(X7_32)) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_738,c_666]) ).
tff(c_776,plain,
! [X8_31] :
( ( inverse(multiply(X8_31,sk_c12)) != inverse(sk_c1) )
| ( multiply(X8_31,inverse(sk_c1)) != inverse(X8_31) )
| ( multiply(inverse(sk_c1),identity) != sk_c12 )
| ( multiply(sk_c1,inverse(sk_c1)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_178,c_769]) ).
tff(c_785,plain,
! [X8_31] :
( ( inverse(multiply(X8_31,sk_c12)) != sk_c12 )
| ( multiply(X8_31,sk_c12) != inverse(X8_31) )
| ( multiply(sk_c12,identity) != sk_c12 )
| ( sk_c12 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_626,c_178,c_178,c_178,c_178,c_776]) ).
tff(c_52483,plain,
! [X8_304] :
( ( inverse(X8_304) != identity )
| ( inverse(X8_304) != X8_304 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_760,c_760,c_2,c_760,c_954,c_760,c_954,c_760,c_760,c_785]) ).
tff(c_52495,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_814,c_52483]) ).
tff(c_52504,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_814,c_52495]) ).
tff(c_52505,plain,
! [X2_12,X1_11,X5_6] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c12) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_529]) ).
tff(c_52585,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c12) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_52505]) ).
tff(c_52656,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),identity) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52577,c_52600,c_52577,c_52585]) ).
tff(c_52667,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_52664,c_52656]) ).
tff(c_52675,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52664,c_2,c_2,c_52667]) ).
tff(c_52676,plain,
! [X1_11,X2_12] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_52505]) ).
tff(c_52724,plain,
! [X1_11,X2_12] :
( ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != identity )
| ( inverse(X2_12) != identity )
| ( multiply(X2_12,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52718,c_52577,c_52577,c_52691,c_52577,c_52691,c_52676]) ).
tff(c_52725,plain,
! [X2_12] :
( ( inverse(X2_12) != identity )
| ( multiply(X2_12,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_52724]) ).
tff(c_53107,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_52851,c_52725]) ).
tff(c_52682,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_52577,c_345]) ).
tff(c_52692,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52682]) ).
tff(c_52705,plain,
inverse(identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_52692,c_178]) ).
tff(c_52726,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52691,c_52705]) ).
tff(c_53109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53107,c_52726]) ).
tff(c_53110,plain,
! [X1_11] :
( ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_52724]) ).
tff(c_53607,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_53233,c_53110]) ).
tff(c_53142,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52691,c_52705]) ).
tff(c_53609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53607,c_53142]) ).
tff(c_53611,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_70,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_53652,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_53611,c_70]) ).
tff(c_53656,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53652,c_4]) ).
tff(c_53834,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_53656,c_53822]) ).
tff(c_54252,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_53837,c_53834]) ).
tff(c_68,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_53713,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_53611,c_68]) ).
tff(c_54253,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_54252,c_53713]) ).
tff(c_53798,plain,
! [Z_332] : ( multiply(sk_c12,multiply(sk_c1,Z_332)) = multiply(identity,Z_332) ),
inference(superposition,[status(thm),theory(equality)],[c_182,c_53741]) ).
tff(c_54282,plain,
! [Z_341] : ( multiply(sk_c12,multiply(sk_c1,Z_341)) = Z_341 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53798]) ).
tff(c_54297,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_54253,c_54282]) ).
tff(c_53817,plain,
! [Z_332] : ( multiply(sk_c11,multiply(sk_c12,Z_332)) = Z_332 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53795]) ).
tff(c_54304,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54297,c_53817]) ).
tff(c_54310,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_54304]) ).
tff(c_74,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_53637,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_53611,c_74]) ).
tff(c_54320,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54310,c_53637]) ).
tff(c_54357,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54320,c_4]) ).
tff(c_54375,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_54357,c_2]) ).
tff(c_54384,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54375,c_54320]) ).
tff(c_54323,plain,
multiply(identity,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_54310,c_218]) ).
tff(c_54329,plain,
sk_c12 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54323]) ).
tff(c_54315,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_54310,c_53837]) ).
tff(c_54328,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54315]) ).
tff(c_54337,plain,
inverse(identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_54328,c_178]) ).
tff(c_54361,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_54329,c_54337]) ).
tff(c_54399,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54384,c_54361]) ).
tff(c_54409,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54399,c_54329]) ).
tff(c_54321,plain,
multiply(sk_c1,identity) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_54310,c_53611]) ).
tff(c_54515,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54409,c_2,c_54328,c_54321]) ).
tff(c_54517,plain,
multiply(sk_c3,sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_144]) ).
tff(c_134,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c3,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_54592,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_54517,c_134]) ).
tff(c_132,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c3,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_54640,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_54517,c_132]) ).
tff(c_68090,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54640,c_68045]) ).
tff(c_68141,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_54592,c_68090]) ).
tff(c_68229,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68139,c_2,c_68139,c_68141]) ).
tff(c_61977,plain,
! [X_428,Z_429] : ( multiply(inverse(X_428),multiply(X_428,Z_429)) = Z_429 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54711]) ).
tff(c_62417,plain,
! [X_433,Z_434] : ( multiply(inverse(inverse(X_433)),Z_434) = multiply(X_433,Z_434) ),
inference(superposition,[status(thm),theory(equality)],[c_54727,c_61977]) ).
tff(c_62441,plain,
! [X_433] : ( multiply(X_433,inverse(X_433)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_62417,c_4]) ).
tff(c_61849,plain,
! [Z_427] : ( multiply(sk_c2,multiply(sk_c3,Z_427)) = multiply(sk_c11,Z_427) ),
inference(superposition,[status(thm),theory(equality)],[c_213,c_54648]) ).
tff(c_61864,plain,
multiply(sk_c2,sk_c3) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_54947,c_61849]) ).
tff(c_61874,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_213,c_61864]) ).
tff(c_54529,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_54705,plain,
! [Z_346] : ( multiply(sk_c12,multiply(sk_c1,Z_346)) = multiply(identity,Z_346) ),
inference(superposition,[status(thm),theory(equality)],[c_182,c_54648]) ).
tff(c_54958,plain,
! [Z_353] : ( multiply(sk_c12,multiply(sk_c1,Z_353)) = Z_353 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54705]) ).
tff(c_54976,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54529,c_54958]) ).
tff(c_54702,plain,
! [Z_346] : ( multiply(sk_c11,multiply(sk_c12,Z_346)) = multiply(identity,Z_346) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_54648]) ).
tff(c_54724,plain,
! [Z_346] : ( multiply(sk_c11,multiply(sk_c12,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54702]) ).
tff(c_61842,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_54976,c_54724]) ).
tff(c_61882,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_61874,c_61842]) ).
tff(c_61892,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61882,c_194]) ).
tff(c_61926,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61892,c_61874]) ).
tff(c_62028,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_61977]) ).
tff(c_62427,plain,
! [X_433] : ( multiply(X_433,identity) = X_433 ),
inference(superposition,[status(thm),theory(equality)],[c_62417,c_62028]) ).
tff(c_54729,plain,
! [Z_347] : ( multiply(sk_c11,multiply(sk_c12,Z_347)) = Z_347 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54702]) ).
tff(c_54744,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_182,c_54729]) ).
tff(c_130,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c3,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_54565,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_54517,c_130]) ).
tff(c_54569,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54565,c_4]) ).
tff(c_54741,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_54569,c_54729]) ).
tff(c_54756,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_54744,c_54741]) ).
tff(c_128,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c3,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_54627,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_54517,c_128]) ).
tff(c_54757,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_54756,c_54627]) ).
tff(c_54973,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_54757,c_54958]) ).
tff(c_55001,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54973,c_54724]) ).
tff(c_55007,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_55001]) ).
tff(c_54984,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_54976,c_54724]) ).
tff(c_55024,plain,
multiply(identity,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_55007,c_55007,c_54984]) ).
tff(c_55041,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55024]) ).
tff(c_55028,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_55007,c_54744]) ).
tff(c_55042,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55028]) ).
tff(c_55051,plain,
inverse(identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_55042,c_178]) ).
tff(c_55101,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55041,c_55051]) ).
tff(c_55167,plain,
! [X_357,Z_358] : ( multiply(inverse(X_357),multiply(X_357,Z_358)) = Z_358 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54711]) ).
tff(c_55448,plain,
! [X_361,Z_362] : ( multiply(inverse(inverse(X_361)),Z_362) = multiply(X_361,Z_362) ),
inference(superposition,[status(thm),theory(equality)],[c_55167,c_54727]) ).
tff(c_55227,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_55167]) ).
tff(c_55458,plain,
! [X_361] : ( multiply(X_361,identity) = X_361 ),
inference(superposition,[status(thm),theory(equality)],[c_55448,c_55227]) ).
tff(c_54776,plain,
! [Z_348] : ( multiply(sk_c3,multiply(sk_c2,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54708]) ).
tff(c_54788,plain,
multiply(sk_c3,sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_213,c_54776]) ).
tff(c_54799,plain,
! [Z_349] : ( multiply(sk_c2,multiply(sk_c3,Z_349)) = multiply(sk_c11,Z_349) ),
inference(superposition,[status(thm),theory(equality)],[c_213,c_54648]) ).
tff(c_54814,plain,
multiply(sk_c2,sk_c3) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_54788,c_54799]) ).
tff(c_54824,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_213,c_54814]) ).
tff(c_54832,plain,
! [Z_350] : ( multiply(sk_c12,multiply(sk_c1,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54705]) ).
tff(c_54850,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54529,c_54832]) ).
tff(c_54857,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_54850,c_54724]) ).
tff(c_54863,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_54824,c_54857]) ).
tff(c_54875,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_54863,c_190]) ).
tff(c_54767,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c12) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 )
| ( inverse(X4_14) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_218,c_148]) ).
tff(c_54768,plain,
! [X4_14] :
( ( multiply(X4_14,sk_c11) != sk_c12 )
| ( inverse(X4_14) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_54767]) ).
tff(c_54885,plain,
! [X4_351] :
( ( multiply(X4_351,sk_c11) != sk_c11 )
| ( inverse(X4_351) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54863,c_54863,c_54768]) ).
tff(c_54907,plain,
inverse(sk_c11) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54824,c_54885]) ).
tff(c_54926,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54875,c_54907]) ).
tff(c_54927,plain,
! [X5_6,X2_12,X8_13,X7_10,X1_11] :
( ( multiply(inverse(X5_6),sk_c12) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_54767]) ).
tff(c_54980,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_54927]) ).
tff(c_55071,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),identity) != identity )
| ( multiply(X7_10,inverse(X7_10)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55041,c_55041,c_55007,c_54980]) ).
tff(c_55104,plain,
! [X8_13] :
( ( inverse(multiply(X8_13,identity)) != inverse(identity) )
| ( multiply(X8_13,inverse(identity)) != inverse(X8_13) )
| ( multiply(inverse(identity),identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_55101,c_55071]) ).
tff(c_55111,plain,
! [X8_13] :
( ( inverse(multiply(X8_13,identity)) != identity )
| ( multiply(X8_13,identity) != inverse(X8_13) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55101,c_2,c_4,c_55101,c_55101,c_55104]) ).
tff(c_61811,plain,
! [X8_426] :
( ( inverse(X8_426) != identity )
| ( inverse(X8_426) != X8_426 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55458,c_55458,c_55111]) ).
tff(c_61825,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_55101,c_61811]) ).
tff(c_61837,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55101,c_61825]) ).
tff(c_61838,plain,
! [X2_12,X1_11,X5_6] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c12) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_54927]) ).
tff(c_61916,plain,
! [X2_12,X1_11,X5_6] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c11) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61882,c_61882,c_61882,c_61838]) ).
tff(c_61917,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c11) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_61916]) ).
tff(c_68034,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_62441,c_61926,c_62427,c_61926,c_61926,c_61917]) ).
tff(c_61952,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_61926,c_54744]) ).
tff(c_61959,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61952]) ).
tff(c_61895,plain,
inverse(sk_c1) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_61882,c_178]) ).
tff(c_61946,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61926,c_61895]) ).
tff(c_62038,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61959,c_61946]) ).
tff(c_68036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68034,c_62038]) ).
tff(c_68037,plain,
! [X1_11,X2_12] :
( ( inverse(X1_11) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_61916]) ).
tff(c_97924,plain,
! [X1_11,X2_12] :
( ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X2_12) != identity )
| ( identity != X2_12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68635,c_68229,c_68139,c_68139,c_68635,c_68139,c_68139,c_68139,c_68037]) ).
tff(c_97926,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_97924]) ).
tff(c_68155,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_68139,c_54744]) ).
tff(c_68162,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68155]) ).
tff(c_61893,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_61882,c_190]) ).
tff(c_54596,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54592,c_4]) ).
tff(c_68096,plain,
multiply(inverse(sk_c11),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_54596,c_68045]) ).
tff(c_68143,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_54744,c_61893,c_68096]) ).
tff(c_68181,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68162,c_68143]) ).
tff(c_68158,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68139,c_54592]) ).
tff(c_68186,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68181,c_68158]) ).
tff(c_97928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97926,c_68186]) ).
tff(c_97930,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_97924]) ).
tff(c_97932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97930,c_68186]) ).
tff(c_97934,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_97961,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_97934,c_70]) ).
tff(c_97965,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97961,c_4]) ).
tff(c_98533,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_97965,c_98521]) ).
tff(c_98574,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_98536,c_98533]) ).
tff(c_98036,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_54517,c_128]) ).
tff(c_98575,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_98574,c_98036]) ).
tff(c_98113,plain,
! [Z_658] : ( multiply(sk_c12,multiply(sk_c1,Z_658)) = multiply(identity,Z_658) ),
inference(superposition,[status(thm),theory(equality)],[c_182,c_98059]) ).
tff(c_98598,plain,
! [Z_669] : ( multiply(sk_c12,multiply(sk_c1,Z_669)) = Z_669 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98113]) ).
tff(c_98613,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_98575,c_98598]) ).
tff(c_98132,plain,
! [Z_658] : ( multiply(sk_c11,multiply(sk_c12,Z_658)) = Z_658 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98110]) ).
tff(c_98620,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_98613,c_98132]) ).
tff(c_98626,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_98620]) ).
tff(c_98680,plain,
multiply(identity,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_98626,c_218]) ).
tff(c_98687,plain,
sk_c12 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98680]) ).
tff(c_98683,plain,
inverse(sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_98626,c_190]) ).
tff(c_98726,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_98687,c_98683]) ).
tff(c_98730,plain,
multiply(identity,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98726,c_4]) ).
tff(c_98119,plain,
! [X_2,Z_658] : ( multiply(inverse(X_2),multiply(X_2,Z_658)) = multiply(identity,Z_658) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_98059]) ).
tff(c_98135,plain,
! [X_2,Z_658] : ( multiply(inverse(X_2),multiply(X_2,Z_658)) = Z_658 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98119]) ).
tff(c_98860,plain,
multiply(inverse(identity),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_98730,c_98135]) ).
tff(c_98872,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_98860]) ).
tff(c_98879,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_98872,c_98687]) ).
tff(c_98671,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_98626,c_98536]) ).
tff(c_98686,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98671]) ).
tff(c_98678,plain,
multiply(sk_c1,identity) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_98626,c_97934]) ).
tff(c_99053,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98879,c_2,c_98686,c_98678]) ).
tff(c_99055,plain,
multiply(sk_c11,sk_c10) != sk_c12,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_38,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c11,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_99124,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_99055,c_38]) ).
tff(c_99192,plain,
! [X_676,Y_677,Z_678] : ( multiply(multiply(X_676,Y_677),Z_678) = multiply(X_676,multiply(Y_677,Z_678)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_99246,plain,
! [Z_678] : ( multiply(sk_c11,multiply(sk_c12,Z_678)) = multiply(identity,Z_678) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_99192]) ).
tff(c_99273,plain,
! [Z_679] : ( multiply(sk_c11,multiply(sk_c12,Z_679)) = Z_679 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99246]) ).
tff(c_99288,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_182,c_99273]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c11,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_99088,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_99055,c_30]) ).
tff(c_99092,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_99088,c_4]) ).
tff(c_99285,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_99092,c_99273]) ).
tff(c_99300,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_99288,c_99285]) ).
tff(c_28,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c11,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_99159,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_99055,c_28]) ).
tff(c_99301,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_99300,c_99159]) ).
tff(c_99249,plain,
! [Z_678] : ( multiply(sk_c12,multiply(sk_c1,Z_678)) = multiply(identity,Z_678) ),
inference(superposition,[status(thm),theory(equality)],[c_182,c_99192]) ).
tff(c_99342,plain,
! [Z_681] : ( multiply(sk_c12,multiply(sk_c1,Z_681)) = Z_681 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99249]) ).
tff(c_99357,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_99301,c_99342]) ).
tff(c_99268,plain,
! [Z_678] : ( multiply(sk_c11,multiply(sk_c12,Z_678)) = Z_678 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99246]) ).
tff(c_99416,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_99357,c_99268]) ).
tff(c_99422,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_99416]) ).
tff(c_86,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_99144,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_86]) ).
tff(c_99360,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_99144,c_99342]) ).
tff(c_99395,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_99360,c_99268]) ).
tff(c_99425,plain,
multiply(identity,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_99422,c_99422,c_99395]) ).
tff(c_99442,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99425]) ).
tff(c_99437,plain,
multiply(identity,sk_c10) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_99422,c_99055]) ).
tff(c_99445,plain,
sk_c12 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99437]) ).
tff(c_99528,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_99442,c_99445]) ).
tff(c_99054,plain,
inverse(sk_c5) = sk_c11,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_99438,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_99422,c_99054]) ).
tff(c_99592,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_99438,c_4]) ).
tff(c_99255,plain,
! [X_2,Z_678] : ( multiply(inverse(X_2),multiply(X_2,Z_678)) = multiply(identity,Z_678) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_99192]) ).
tff(c_99271,plain,
! [X_2,Z_678] : ( multiply(inverse(X_2),multiply(X_2,Z_678)) = Z_678 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99255]) ).
tff(c_99672,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_99592,c_99271]) ).
tff(c_99684,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99672]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c11,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_99145,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_99055,c_32]) ).
tff(c_99435,plain,
multiply(sk_c5,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_99422,c_99145]) ).
tff(c_99913,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99684,c_99435]) ).
tff(c_99914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99528,c_99913]) ).
tff(c_99916,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_76,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_100436,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_99916,c_76]) ).
tff(c_100460,plain,
! [X_700,Y_701,Z_702] : ( multiply(multiply(X_700,Y_701),Z_702) = multiply(X_700,multiply(Y_701,Z_702)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_100517,plain,
! [X_2,Z_702] : ( multiply(inverse(X_2),multiply(X_2,Z_702)) = multiply(identity,Z_702) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_100460]) ).
tff(c_100631,plain,
! [X_705,Z_706] : ( multiply(inverse(X_705),multiply(X_705,Z_706)) = Z_706 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100517]) ).
tff(c_100655,plain,
multiply(inverse(sk_c6),sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_100436,c_100631]) ).
tff(c_100698,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_99124,c_100655]) ).
tff(c_100533,plain,
! [X_2,Z_702] : ( multiply(inverse(X_2),multiply(X_2,Z_702)) = Z_702 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100517]) ).
tff(c_100829,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_100698,c_100533]) ).
tff(c_100835,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_100829]) ).
tff(c_100508,plain,
! [Z_702] : ( multiply(sk_c11,multiply(sk_c12,Z_702)) = multiply(identity,Z_702) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_100460]) ).
tff(c_100535,plain,
! [Z_703] : ( multiply(sk_c11,multiply(sk_c12,Z_703)) = Z_703 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100508]) ).
tff(c_100550,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_182,c_100535]) ).
tff(c_100547,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_99092,c_100535]) ).
tff(c_100564,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_100550,c_100547]) ).
tff(c_99965,plain,
! [X_690,Y_691,Z_692] : ( multiply(multiply(X_690,Y_691),Z_692) = multiply(X_690,multiply(Y_691,Z_692)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_100022,plain,
! [Z_692] : ( multiply(sk_c3,multiply(sk_c2,Z_692)) = multiply(identity,Z_692) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_99965]) ).
tff(c_100117,plain,
! [Z_695] : ( multiply(sk_c3,multiply(sk_c2,Z_695)) = Z_695 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100022]) ).
tff(c_100138,plain,
multiply(sk_c3,sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_213,c_100117]) ).
tff(c_100025,plain,
! [X_2,Z_692] : ( multiply(inverse(X_2),multiply(X_2,Z_692)) = multiply(identity,Z_692) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_99965]) ).
tff(c_100176,plain,
! [X_696,Z_697] : ( multiply(inverse(X_696),multiply(X_696,Z_697)) = Z_697 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100025]) ).
tff(c_100197,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_100138,c_100176]) ).
tff(c_100276,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_100197]) ).
tff(c_99926,plain,
multiply(sk_c3,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_100089,plain,
! [Z_694] : ( multiply(sk_c2,multiply(sk_c3,Z_694)) = multiply(sk_c11,Z_694) ),
inference(superposition,[status(thm),theory(equality)],[c_213,c_99965]) ).
tff(c_100101,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c11,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_99926,c_100089]) ).
tff(c_100108,plain,
multiply(sk_c2,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_100101]) ).
tff(c_100016,plain,
! [Z_692] : ( multiply(sk_c11,multiply(sk_c12,Z_692)) = multiply(identity,Z_692) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_99965]) ).
tff(c_100043,plain,
! [Z_693] : ( multiply(sk_c11,multiply(sk_c12,Z_693)) = Z_693 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100016]) ).
tff(c_100058,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_182,c_100043]) ).
tff(c_100132,plain,
multiply(sk_c3,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_100108,c_100117]) ).
tff(c_100013,plain,
! [Z_692] : ( multiply(sk_c2,multiply(sk_c3,Z_692)) = multiply(sk_c11,Z_692) ),
inference(superposition,[status(thm),theory(equality)],[c_213,c_99965]) ).
tff(c_100156,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c11,identity),
inference(superposition,[status(thm),theory(equality)],[c_100132,c_100013]) ).
tff(c_100162,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_100108,c_100058,c_100156]) ).
tff(c_100168,plain,
multiply(identity,sk_c11) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_100162,c_99916]) ).
tff(c_100171,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100168]) ).
tff(c_100346,plain,
sk_c12 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_100276,c_100171]) ).
tff(c_99946,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_99916,c_76]) ).
tff(c_100215,plain,
multiply(inverse(sk_c6),sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_99946,c_100176]) ).
tff(c_100279,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_99124,c_100215]) ).
tff(c_100041,plain,
! [X_2,Z_692] : ( multiply(inverse(X_2),multiply(X_2,Z_692)) = Z_692 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100025]) ).
tff(c_100410,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_100279,c_100041]) ).
tff(c_100416,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_100410]) ).
tff(c_100418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100346,c_100416]) ).
tff(c_100419,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_100565,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_100564,c_100419]) ).
tff(c_100511,plain,
! [Z_702] : ( multiply(sk_c12,multiply(sk_c1,Z_702)) = multiply(identity,Z_702) ),
inference(superposition,[status(thm),theory(equality)],[c_182,c_100460]) ).
tff(c_100581,plain,
! [Z_704] : ( multiply(sk_c12,multiply(sk_c1,Z_704)) = Z_704 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100511]) ).
tff(c_100596,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_100565,c_100581]) ).
tff(c_100530,plain,
! [Z_702] : ( multiply(sk_c11,multiply(sk_c12,Z_702)) = Z_702 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100508]) ).
tff(c_100603,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_100596,c_100530]) ).
tff(c_100609,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_100603]) ).
tff(c_100613,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_100609,c_100550]) ).
tff(c_100625,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100613]) ).
tff(c_100618,plain,
multiply(sk_c1,identity) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_100609,c_99916]) ).
tff(c_101258,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100835,c_2,c_100625,c_100618]) ).
tff(c_101259,plain,
inverse(sk_c4) = sk_c12,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_101264,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_101259,c_4]) ).
tff(c_103109,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_101264,c_103097]) ).
tff(c_103124,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_103112,c_103109]) ).
tff(c_102415,plain,
! [X_730,Y_731,Z_732] : ( multiply(multiply(X_730,Y_731),Z_732) = multiply(X_730,multiply(Y_731,Z_732)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_102466,plain,
! [Z_732] : ( multiply(sk_c11,multiply(sk_c12,Z_732)) = multiply(identity,Z_732) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_102415]) ).
tff(c_102493,plain,
! [Z_733] : ( multiply(sk_c11,multiply(sk_c12,Z_733)) = Z_733 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102466]) ).
tff(c_102508,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_182,c_102493]) ).
tff(c_102505,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_101264,c_102493]) ).
tff(c_102523,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_102508,c_102505]) ).
tff(c_101403,plain,
! [X_714,Y_715,Z_716] : ( multiply(multiply(X_714,Y_715),Z_716) = multiply(X_714,multiply(Y_715,Z_716)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_101457,plain,
! [Z_716] : ( multiply(sk_c11,multiply(sk_c12,Z_716)) = multiply(identity,Z_716) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_101403]) ).
tff(c_101484,plain,
! [Z_717] : ( multiply(sk_c11,multiply(sk_c12,Z_717)) = Z_717 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_101457]) ).
tff(c_101499,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_182,c_101484]) ).
tff(c_101496,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_101264,c_101484]) ).
tff(c_101511,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_101499,c_101496]) ).
tff(c_101260,plain,
multiply(sk_c2,sk_c3) != sk_c11,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_88,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c2,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_101378,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_101260,c_88]) ).
tff(c_101512,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_101511,c_101378]) ).
tff(c_101460,plain,
! [Z_716] : ( multiply(sk_c12,multiply(sk_c1,Z_716)) = multiply(identity,Z_716) ),
inference(superposition,[status(thm),theory(equality)],[c_182,c_101403]) ).
tff(c_101958,plain,
! [Z_725] : ( multiply(sk_c12,multiply(sk_c1,Z_725)) = Z_725 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_101460]) ).
tff(c_101973,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_101512,c_101958]) ).
tff(c_101479,plain,
! [Z_716] : ( multiply(sk_c11,multiply(sk_c12,Z_716)) = Z_716 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_101457]) ).
tff(c_101993,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_101973,c_101479]) ).
tff(c_101999,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_101993]) ).
tff(c_44,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( multiply(sk_c11,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_101272,plain,
multiply(sk_c11,sk_c10) = sk_c12,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_102012,plain,
multiply(identity,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_101999,c_101272]) ).
tff(c_102017,plain,
sk_c12 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102012]) ).
tff(c_101358,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_101976,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_101358,c_101958]) ).
tff(c_101983,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_101976,c_101479]) ).
tff(c_102080,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102017,c_101999,c_2,c_101999,c_101983]) ).
tff(c_102004,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_101999,c_101499]) ).
tff(c_102016,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102004]) ).
tff(c_102027,plain,
inverse(identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_102016,c_178]) ).
tff(c_102056,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_102017,c_102027]) ).
tff(c_102082,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102080,c_102056]) ).
tff(c_102084,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102080,c_102017]) ).
tff(c_138,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c3,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_101309,plain,
multiply(sk_c3,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_138]) ).
tff(c_101442,plain,
! [Z_716] : ( multiply(sk_c3,multiply(sk_c12,Z_716)) = multiply(sk_c11,Z_716) ),
inference(superposition,[status(thm),theory(equality)],[c_101309,c_101403]) ).
tff(c_102232,plain,
! [Z_729] : ( multiply(sk_c3,Z_729) = Z_729 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102084,c_2,c_101999,c_101442]) ).
tff(c_102247,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_102232,c_169]) ).
tff(c_102262,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_102247,c_165]) ).
tff(c_102265,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102082,c_102262]) ).
tff(c_102013,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_101999,c_101260]) ).
tff(c_102368,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102265,c_2,c_102247,c_102013]) ).
tff(c_102369,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_102524,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_102523,c_102369]) ).
tff(c_102469,plain,
! [Z_732] : ( multiply(sk_c12,multiply(sk_c1,Z_732)) = multiply(identity,Z_732) ),
inference(superposition,[status(thm),theory(equality)],[c_182,c_102415]) ).
tff(c_102540,plain,
! [Z_734] : ( multiply(sk_c12,multiply(sk_c1,Z_734)) = Z_734 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102469]) ).
tff(c_102555,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_102524,c_102540]) ).
tff(c_102488,plain,
! [Z_732] : ( multiply(sk_c11,multiply(sk_c12,Z_732)) = Z_732 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102466]) ).
tff(c_102584,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_102555,c_102488]) ).
tff(c_102591,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_102584]) ).
tff(c_94,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c2,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_101295,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_101260,c_94]) ).
tff(c_102603,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102591,c_101295]) ).
tff(c_102666,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102603,c_4]) ).
tff(c_102676,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_102666,c_2]) ).
tff(c_102685,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102676,c_102603]) ).
tff(c_102604,plain,
multiply(identity,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_102591,c_101272]) ).
tff(c_102610,plain,
sk_c12 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102604]) ).
tff(c_102596,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_102591,c_102508]) ).
tff(c_102609,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102596]) ).
tff(c_102618,plain,
inverse(identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_102609,c_178]) ).
tff(c_102647,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_102610,c_102618]) ).
tff(c_102692,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102685,c_102647]) ).
tff(c_102703,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102692,c_102610]) ).
tff(c_102370,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_102600,plain,
multiply(sk_c1,identity) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_102591,c_102370]) ).
tff(c_102925,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102703,c_2,c_102609,c_102600]) ).
tff(c_102927,plain,
multiply(sk_c3,sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_138]) ).
tff(c_102984,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_102927,c_128]) ).
tff(c_103125,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_103124,c_102984]) ).
tff(c_103073,plain,
! [Z_741] : ( multiply(sk_c12,multiply(sk_c1,Z_741)) = multiply(identity,Z_741) ),
inference(superposition,[status(thm),theory(equality)],[c_182,c_103022]) ).
tff(c_103327,plain,
! [Z_749] : ( multiply(sk_c12,multiply(sk_c1,Z_749)) = Z_749 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_103073]) ).
tff(c_103342,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_103125,c_103327]) ).
tff(c_103092,plain,
! [Z_741] : ( multiply(sk_c11,multiply(sk_c12,Z_741)) = Z_741 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_103070]) ).
tff(c_103349,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_103342,c_103092]) ).
tff(c_103355,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_103349]) ).
tff(c_103368,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_103355,c_101260]) ).
tff(c_103079,plain,
! [X_2,Z_741] : ( multiply(inverse(X_2),multiply(X_2,Z_741)) = multiply(identity,Z_741) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_103022]) ).
tff(c_103521,plain,
! [X_753,Z_754] : ( multiply(inverse(X_753),multiply(X_753,Z_754)) = Z_754 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_103079]) ).
tff(c_103095,plain,
! [X_2,Z_741] : ( multiply(inverse(X_2),multiply(X_2,Z_741)) = Z_741 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_103079]) ).
tff(c_103796,plain,
! [X_757,Z_758] : ( multiply(inverse(inverse(X_757)),Z_758) = multiply(X_757,Z_758) ),
inference(superposition,[status(thm),theory(equality)],[c_103521,c_103095]) ).
tff(c_103575,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_103521]) ).
tff(c_103851,plain,
! [X_759] : ( multiply(X_759,identity) = X_759 ),
inference(superposition,[status(thm),theory(equality)],[c_103796,c_103575]) ).
tff(c_103569,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_169,c_103521]) ).
tff(c_103864,plain,
inverse(sk_c3) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_103851,c_103569]) ).
tff(c_103941,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_103864,c_4]) ).
tff(c_103947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103368,c_103941]) ).
tff(c_103949,plain,
multiply(sk_c11,sk_c10) != sk_c12,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_103997,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_103949,c_38]) ).
tff(c_96,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c2,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_104036,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_101260,c_96]) ).
tff(c_104085,plain,
! [X_760,Y_761,Z_762] : ( multiply(multiply(X_760,Y_761),Z_762) = multiply(X_760,multiply(Y_761,Z_762)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_104145,plain,
! [X_2,Z_762] : ( multiply(inverse(X_2),multiply(X_2,Z_762)) = multiply(identity,Z_762) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_104085]) ).
tff(c_104322,plain,
! [X_766,Z_767] : ( multiply(inverse(X_766),multiply(X_766,Z_767)) = Z_767 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104145]) ).
tff(c_104349,plain,
multiply(inverse(sk_c6),sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_104036,c_104322]) ).
tff(c_104384,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_103997,c_104349]) ).
tff(c_104161,plain,
! [X_2,Z_762] : ( multiply(inverse(X_2),multiply(X_2,Z_762)) = Z_762 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104145]) ).
tff(c_104433,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_104384,c_104161]) ).
tff(c_104439,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104433]) ).
tff(c_104136,plain,
! [Z_762] : ( multiply(sk_c11,multiply(sk_c12,Z_762)) = multiply(identity,Z_762) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_104085]) ).
tff(c_104163,plain,
! [Z_763] : ( multiply(sk_c11,multiply(sk_c12,Z_763)) = Z_763 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104136]) ).
tff(c_104178,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_182,c_104163]) ).
tff(c_104175,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_101264,c_104163]) ).
tff(c_104190,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_104178,c_104175]) ).
tff(c_104067,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_101260,c_88]) ).
tff(c_104191,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_104190,c_104067]) ).
tff(c_104139,plain,
! [Z_762] : ( multiply(sk_c12,multiply(sk_c1,Z_762)) = multiply(identity,Z_762) ),
inference(superposition,[status(thm),theory(equality)],[c_182,c_104085]) ).
tff(c_104209,plain,
! [Z_764] : ( multiply(sk_c12,multiply(sk_c1,Z_764)) = Z_764 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104139]) ).
tff(c_104224,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_104191,c_104209]) ).
tff(c_104158,plain,
! [Z_762] : ( multiply(sk_c11,multiply(sk_c12,Z_762)) = Z_762 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104136]) ).
tff(c_104244,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_104224,c_104158]) ).
tff(c_104250,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_104244]) ).
tff(c_104291,plain,
multiply(identity,sk_c10) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_104250,c_103949]) ).
tff(c_104297,plain,
sk_c12 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104291]) ).
tff(c_104445,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_104439,c_104297]) ).
tff(c_103983,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_101260,c_94]) ).
tff(c_104289,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104250,c_103983]) ).
tff(c_104392,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_104289,c_4]) ).
tff(c_104669,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_104392,c_104161]) ).
tff(c_104681,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104669]) ).
tff(c_92,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c2,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_104041,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_101260,c_92]) ).
tff(c_104287,plain,
multiply(sk_c5,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_104250,c_104041]) ).
tff(c_104699,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104681,c_104287]) ).
tff(c_104700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104445,c_104699]) ).
tff(c_104702,plain,
inverse(sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_8,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_104781,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_104702,c_8]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_104736,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_104702,c_10]) ).
tff(c_104740,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_104736,c_4]) ).
tff(c_104844,plain,
! [X_770,Y_771,Z_772] : ( multiply(multiply(X_770,Y_771),Z_772) = multiply(X_770,multiply(Y_771,Z_772)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_104877,plain,
! [Z_772] : ( multiply(sk_c12,multiply(sk_c4,Z_772)) = multiply(identity,Z_772) ),
inference(superposition,[status(thm),theory(equality)],[c_104740,c_104844]) ).
tff(c_104938,plain,
! [Z_775] : ( multiply(sk_c12,multiply(sk_c4,Z_775)) = Z_775 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104877]) ).
tff(c_104950,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_104781,c_104938]) ).
tff(c_104895,plain,
! [X_2,Z_772] : ( multiply(inverse(X_2),multiply(X_2,Z_772)) = multiply(identity,Z_772) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_104844]) ).
tff(c_105083,plain,
! [X_780,Z_781] : ( multiply(inverse(X_780),multiply(X_780,Z_781)) = Z_781 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104895]) ).
tff(c_105128,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_104950,c_105083]) ).
tff(c_105212,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_105128]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_104728,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_104702,c_14]) ).
tff(c_105235,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_105212,c_104728]) ).
tff(c_105247,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_105235,c_4]) ).
tff(c_104910,plain,
! [X_2,Z_772] : ( multiply(inverse(X_2),multiply(X_2,Z_772)) = Z_772 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104895]) ).
tff(c_105254,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_105247,c_104910]) ).
tff(c_105266,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_105254]) ).
tff(c_105270,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_105266,c_105235]) ).
tff(c_104701,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_16,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_104798,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_104702,c_16]) ).
tff(c_105146,plain,
multiply(inverse(sk_c6),sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_104798,c_105083]) ).
tff(c_105213,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_104701,c_105146]) ).
tff(c_105344,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_105213,c_104910]) ).
tff(c_105353,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_105344]) ).
tff(c_105236,plain,
inverse(sk_c12) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_105212,c_104702]) ).
tff(c_105358,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_105353,c_105236]) ).
tff(c_105371,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_105270,c_105358]) ).
tff(c_105373,plain,
inverse(sk_c1) != sk_c12,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_138566,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_105373,c_48]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_105463,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_105373,c_52]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_105428,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_105373,c_54]) ).
tff(c_105432,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_105428,c_4]) ).
tff(c_105527,plain,
! [X_783,Y_784,Z_785] : ( multiply(multiply(X_783,Y_784),Z_785) = multiply(X_783,multiply(Y_784,Z_785)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_105560,plain,
! [Z_785] : ( multiply(sk_c11,multiply(sk_c5,Z_785)) = multiply(identity,Z_785) ),
inference(superposition,[status(thm),theory(equality)],[c_105432,c_105527]) ).
tff(c_106258,plain,
! [Z_799] : ( multiply(sk_c11,multiply(sk_c5,Z_799)) = Z_799 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_105560]) ).
tff(c_106273,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_105463,c_106258]) ).
tff(c_105496,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_105373,c_48]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_105440,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_105373,c_50]) ).
tff(c_105444,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_105440,c_4]) ).
tff(c_105557,plain,
! [Z_785] : ( multiply(sk_c12,multiply(sk_c4,Z_785)) = multiply(identity,Z_785) ),
inference(superposition,[status(thm),theory(equality)],[c_105444,c_105527]) ).
tff(c_105598,plain,
! [Z_786] : ( multiply(sk_c12,multiply(sk_c4,Z_786)) = Z_786 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_105557]) ).
tff(c_105610,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_105496,c_105598]) ).
tff(c_105578,plain,
! [X_2,Z_785] : ( multiply(inverse(X_2),multiply(X_2,Z_785)) = multiply(identity,Z_785) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_105527]) ).
tff(c_105709,plain,
! [X_791,Z_792] : ( multiply(inverse(X_791),multiply(X_791,Z_792)) = Z_792 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_105578]) ).
tff(c_105745,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_105610,c_105709]) ).
tff(c_105820,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_105745]) ).
tff(c_105766,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_105463,c_105709]) ).
tff(c_105825,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_105428,c_105766]) ).
tff(c_105980,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_105820,c_2,c_105820,c_105825]) ).
tff(c_56,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_105473,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_105373,c_56]) ).
tff(c_58,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_105414,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_105373,c_58]) ).
tff(c_105418,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_105414,c_4]) ).
tff(c_105563,plain,
! [Z_785] : ( multiply(sk_c9,multiply(sk_c6,Z_785)) = multiply(identity,Z_785) ),
inference(superposition,[status(thm),theory(equality)],[c_105418,c_105527]) ).
tff(c_105640,plain,
! [Z_788] : ( multiply(sk_c9,multiply(sk_c6,Z_788)) = Z_788 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_105563]) ).
tff(c_105652,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_105473,c_105640]) ).
tff(c_105736,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_105652,c_105709]) ).
tff(c_105818,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_105736]) ).
tff(c_22,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_105381,plain,
inverse(sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_105596,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c12) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(sk_c11,sk_c10) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105381,c_148]) ).
tff(c_105597,plain,
multiply(sk_c11,sk_c10) != sk_c12,
inference(splitLeft,[status(thm)],[c_105596]) ).
tff(c_105835,plain,
multiply(sk_c11,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_105818,c_105597]) ).
tff(c_106172,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_105980,c_2,c_105820,c_105835]) ).
tff(c_106174,plain,
multiply(sk_c11,sk_c10) = sk_c12,
inference(splitRight,[status(thm)],[c_105596]) ).
tff(c_106277,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_106273,c_106174]) ).
tff(c_106205,plain,
! [Z_797] : ( multiply(sk_c12,multiply(sk_c4,Z_797)) = Z_797 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_105557]) ).
tff(c_106217,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_105496,c_106205]) ).
tff(c_106290,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_106277,c_106277,c_106217]) ).
tff(c_105593,plain,
! [X_2,Z_785] : ( multiply(inverse(X_2),multiply(X_2,Z_785)) = Z_785 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_105578]) ).
tff(c_114085,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_106290,c_105593]) ).
tff(c_114094,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_114085]) ).
tff(c_113983,plain,
! [X_881,Z_882] : ( multiply(inverse(X_881),multiply(X_881,Z_882)) = Z_882 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_105578]) ).
tff(c_114353,plain,
! [X_886,Z_887] : ( multiply(inverse(inverse(X_886)),Z_887) = multiply(X_886,Z_887) ),
inference(superposition,[status(thm),theory(equality)],[c_113983,c_105593]) ).
tff(c_114046,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_113983]) ).
tff(c_114363,plain,
! [X_886] : ( multiply(X_886,identity) = X_886 ),
inference(superposition,[status(thm),theory(equality)],[c_114353,c_114046]) ).
tff(c_114400,plain,
! [X_886] : ( multiply(X_886,inverse(X_886)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_114353]) ).
tff(c_114016,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_106273,c_113983]) ).
tff(c_114054,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_114016]) ).
tff(c_106182,plain,
! [Z_796] : ( multiply(sk_c9,multiply(sk_c6,Z_796)) = Z_796 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_105563]) ).
tff(c_106194,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_105473,c_106182]) ).
tff(c_60,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_105489,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_105373,c_60]) ).
tff(c_106221,plain,
! [Z_798] : ( multiply(sk_c9,multiply(sk_c11,Z_798)) = multiply(sk_c12,Z_798) ),
inference(superposition,[status(thm),theory(equality)],[c_105489,c_105527]) ).
tff(c_106233,plain,
multiply(sk_c9,sk_c12) = multiply(sk_c12,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_106174,c_106221]) ).
tff(c_106243,plain,
multiply(sk_c12,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_106194,c_106233]) ).
tff(c_106289,plain,
multiply(sk_c11,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_106277,c_106243]) ).
tff(c_106302,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_106273,c_106289]) ).
tff(c_106295,plain,
multiply(sk_c9,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_106277,c_105489]) ).
tff(c_106485,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_106302,c_106295]) ).
tff(c_106489,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_106485,c_105593]) ).
tff(c_106495,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_106489]) ).
tff(c_106298,plain,
inverse(sk_c4) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_106277,c_105440]) ).
tff(c_106338,plain,
multiply(sk_c11,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_106298,c_4]) ).
tff(c_106574,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_106495,c_106338]) ).
tff(c_106504,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_106495,c_106298]) ).
tff(c_106575,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_106574,c_106504]) ).
tff(c_106363,plain,
! [X_800,Z_801] : ( multiply(inverse(X_800),multiply(X_800,Z_801)) = Z_801 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_105578]) ).
tff(c_106769,plain,
! [X_806,Z_807] : ( multiply(inverse(inverse(X_806)),Z_807) = multiply(X_806,Z_807) ),
inference(superposition,[status(thm),theory(equality)],[c_105593,c_106363]) ).
tff(c_106429,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_106363]) ).
tff(c_106779,plain,
! [X_806] : ( multiply(X_806,identity) = X_806 ),
inference(superposition,[status(thm),theory(equality)],[c_106769,c_106429]) ).
tff(c_106816,plain,
! [X_806] : ( multiply(X_806,inverse(X_806)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_106769]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_107041,plain,
! [X_811,Y_812,Z_813] : ( multiply(inverse(multiply(X_811,Y_812)),multiply(X_811,multiply(Y_812,Z_813))) = Z_813 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_106363]) ).
tff(c_107077,plain,
! [X_811,X_806] : ( multiply(inverse(multiply(X_811,X_806)),multiply(X_811,identity)) = inverse(X_806) ),
inference(superposition,[status(thm),theory(equality)],[c_106816,c_107041]) ).
tff(c_107151,plain,
! [X_811,X_806] : ( multiply(inverse(multiply(X_811,X_806)),X_811) = inverse(X_806) ),
inference(demodulation,[status(thm),theory(equality)],[c_106779,c_107077]) ).
tff(c_106823,plain,
! [X_808] : ( multiply(X_808,identity) = X_808 ),
inference(superposition,[status(thm),theory(equality)],[c_106769,c_106429]) ).
tff(c_106868,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_106429,c_106823]) ).
tff(c_107129,plain,
! [X_811,X_2] : ( multiply(inverse(multiply(X_811,inverse(X_2))),multiply(X_811,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_107041]) ).
tff(c_107549,plain,
! [X_819,X_820] : ( multiply(inverse(multiply(X_819,inverse(X_820))),X_819) = X_820 ),
inference(demodulation,[status(thm),theory(equality)],[c_106779,c_107129]) ).
tff(c_106809,plain,
! [X_806,Z_785] : ( multiply(X_806,multiply(inverse(X_806),Z_785)) = Z_785 ),
inference(superposition,[status(thm),theory(equality)],[c_105593,c_106769]) ).
tff(c_107645,plain,
! [X_821,X_822] : ( multiply(multiply(X_821,inverse(X_822)),X_822) = X_821 ),
inference(superposition,[status(thm),theory(equality)],[c_107549,c_106809]) ).
tff(c_107711,plain,
! [X_821,X_2] : ( multiply(multiply(X_821,X_2),inverse(X_2)) = X_821 ),
inference(superposition,[status(thm),theory(equality)],[c_106868,c_107645]) ).
tff(c_109842,plain,
! [X_842,X_843,Z_844] : ( multiply(inverse(multiply(X_842,inverse(X_843))),multiply(X_842,Z_844)) = multiply(X_843,Z_844) ),
inference(superposition,[status(thm),theory(equality)],[c_105593,c_107041]) ).
tff(c_109969,plain,
! [X_821,X_2,X_843] : ( multiply(inverse(multiply(multiply(X_821,X_2),inverse(X_843))),X_821) = multiply(X_843,inverse(X_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_107711,c_109842]) ).
tff(c_110094,plain,
! [X_2,X_843] : ( inverse(multiply(X_2,inverse(X_843))) = multiply(X_843,inverse(X_2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_107151,c_6,c_109969]) ).
tff(c_106173,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X1_11] :
( ( multiply(X4_14,sk_c11) != sk_c12 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(inverse(X5_6),sk_c12) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_105596]) ).
tff(c_106307,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X1_11] :
( ( multiply(X4_14,sk_c11) != sk_c11 )
| ( inverse(X4_14) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c11) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X1_11) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106277,c_106277,c_106277,c_106277,c_106277,c_106277,c_106277,c_106173]) ).
tff(c_106308,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_106307]) ).
tff(c_113813,plain,
! [X7_877,X8_878] :
( ( multiply(X7_877,inverse(X8_878)) != inverse(X7_877) )
| ( multiply(X8_878,inverse(X7_877)) != inverse(X8_878) )
| ( inverse(X7_877) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106816,c_106495,c_106779,c_106495,c_106495,c_110094,c_106308]) ).
tff(c_113866,plain,
! [X8_878] :
( ( inverse(identity) != inverse(X8_878) )
| ( multiply(X8_878,inverse(identity)) != inverse(X8_878) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_113813]) ).
tff(c_113890,plain,
! [X8_879] :
( ( inverse(X8_879) != identity )
| ( inverse(X8_879) != X8_879 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106575,c_106779,c_106575,c_106575,c_113866]) ).
tff(c_113904,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_106575,c_113890]) ).
tff(c_113916,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_106575,c_113904]) ).
tff(c_113917,plain,
! [X2_12,X1_11,X5_6,X4_14] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c11) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c11 )
| ( inverse(X4_14) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_106307]) ).
tff(c_121249,plain,
! [X2_12,X1_11,X5_6,X4_14] :
( ( inverse(X2_12) != identity )
| ( identity != X2_12 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X5_6) != identity )
| ( identity != X4_14 )
| ( inverse(X4_14) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114094,c_114363,c_114094,c_114094,c_114400,c_114094,c_114363,c_114094,c_114094,c_114363,c_114094,c_114094,c_114094,c_114363,c_114094,c_114054,c_114094,c_113917]) ).
tff(c_121251,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_121249]) ).
tff(c_113921,plain,
inverse(sk_c6) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_106302,c_105414]) ).
tff(c_113972,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_113921,c_4]) ).
tff(c_114166,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_114094,c_113972]) ).
tff(c_114101,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_114094,c_113921]) ).
tff(c_114167,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_114166,c_114101]) ).
tff(c_121253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121251,c_114167]) ).
tff(c_121254,plain,
! [X5_6,X2_12,X1_11] :
( ( inverse(X5_6) != identity )
| ( inverse(X2_12) != identity )
| ( identity != X2_12 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 ) ),
inference(splitRight,[status(thm)],[c_121249]) ).
tff(c_138440,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_121254]) ).
tff(c_138442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138440,c_114167]) ).
tff(c_138443,plain,
! [X2_12,X5_6] :
( ( inverse(X2_12) != identity )
| ( identity != X2_12 )
| ( inverse(X5_6) != identity ) ),
inference(splitRight,[status(thm)],[c_121254]) ).
tff(c_138444,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(splitLeft,[status(thm)],[c_138443]) ).
tff(c_138446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138444,c_114167]) ).
tff(c_138449,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_138443]) ).
tff(c_138451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138449,c_114167]) ).
tff(c_138453,plain,
inverse(sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_138465,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_138453,c_10]) ).
tff(c_138469,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138465,c_4]) ).
tff(c_138598,plain,
! [X_1028,Y_1029,Z_1030] : ( multiply(multiply(X_1028,Y_1029),Z_1030) = multiply(X_1028,multiply(Y_1029,Z_1030)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_138634,plain,
! [Z_1030] : ( multiply(sk_c12,multiply(sk_c4,Z_1030)) = multiply(identity,Z_1030) ),
inference(superposition,[status(thm),theory(equality)],[c_138469,c_138598]) ).
tff(c_138685,plain,
! [Z_1032] : ( multiply(sk_c12,multiply(sk_c4,Z_1032)) = Z_1032 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138634]) ).
tff(c_138697,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_138566,c_138685]) ).
tff(c_138646,plain,
! [X_2,Z_1030] : ( multiply(inverse(X_2),multiply(X_2,Z_1030)) = multiply(identity,Z_1030) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_138598]) ).
tff(c_138756,plain,
! [X_1035,Z_1036] : ( multiply(inverse(X_1035),multiply(X_1035,Z_1036)) = Z_1036 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138646]) ).
tff(c_138786,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_138697,c_138756]) ).
tff(c_138860,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_138786]) ).
tff(c_138547,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_105373,c_56]) ).
tff(c_138483,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_138453,c_18]) ).
tff(c_138487,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138483,c_4]) ).
tff(c_138631,plain,
! [Z_1030] : ( multiply(sk_c9,multiply(sk_c6,Z_1030)) = multiply(identity,Z_1030) ),
inference(superposition,[status(thm),theory(equality)],[c_138487,c_138598]) ).
tff(c_138709,plain,
! [Z_1033] : ( multiply(sk_c9,multiply(sk_c6,Z_1033)) = Z_1033 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138631]) ).
tff(c_138721,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_138547,c_138709]) ).
tff(c_138780,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_138721,c_138756]) ).
tff(c_138859,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_138780]) ).
tff(c_138879,plain,
inverse(identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_138859,c_138453]) ).
tff(c_138957,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_138860,c_138879]) ).
tff(c_138878,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_138859,c_138465]) ).
tff(c_138964,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138878,c_4]) ).
tff(c_138660,plain,
! [X_2,Z_1030] : ( multiply(inverse(X_2),multiply(X_2,Z_1030)) = Z_1030 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138646]) ).
tff(c_139020,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_138964,c_138660]) ).
tff(c_139032,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_139020]) ).
tff(c_139036,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_139032,c_138878]) ).
tff(c_139039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138957,c_139036]) ).
tff(c_139041,plain,
inverse(sk_c2) != sk_c3,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_116,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_152008,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_139041,c_116]) ).
tff(c_118,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_139053,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_139041,c_118]) ).
tff(c_139057,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_139053,c_4]) ).
tff(c_152080,plain,
! [X_1205,Y_1206,Z_1207] : ( multiply(multiply(X_1205,Y_1206),Z_1207) = multiply(X_1205,multiply(Y_1206,Z_1207)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_152122,plain,
! [Z_1207] : ( multiply(sk_c9,multiply(sk_c6,Z_1207)) = multiply(identity,Z_1207) ),
inference(superposition,[status(thm),theory(equality)],[c_139057,c_152080]) ).
tff(c_152259,plain,
! [Z_1212] : ( multiply(sk_c9,multiply(sk_c6,Z_1212)) = Z_1212 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_152122]) ).
tff(c_152277,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_152008,c_152259]) ).
tff(c_152128,plain,
! [X_2,Z_1207] : ( multiply(inverse(X_2),multiply(X_2,Z_1207)) = multiply(identity,Z_1207) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_152080]) ).
tff(c_152321,plain,
! [X_1213,Z_1214] : ( multiply(inverse(X_1213),multiply(X_1213,Z_1214)) = Z_1214 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_152128]) ).
tff(c_152348,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_152277,c_152321]) ).
tff(c_152442,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_152348]) ).
tff(c_110,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_139078,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_139041,c_110]) ).
tff(c_108,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_152026,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_139041,c_108]) ).
tff(c_152390,plain,
multiply(inverse(sk_c4),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_152026,c_152321]) ).
tff(c_152447,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_139078,c_152390]) ).
tff(c_152593,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_152442,c_2,c_152442,c_152447]) ).
tff(c_139208,plain,
! [X_1039,Y_1040,Z_1041] : ( multiply(multiply(X_1039,Y_1040),Z_1041) = multiply(X_1039,multiply(Y_1040,Z_1041)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_139259,plain,
! [X_2,Z_1041] : ( multiply(inverse(X_2),multiply(X_2,Z_1041)) = multiply(identity,Z_1041) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_139208]) ).
tff(c_143002,plain,
! [X_1107,Z_1108] : ( multiply(inverse(X_1107),multiply(X_1107,Z_1108)) = Z_1108 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139259]) ).
tff(c_139274,plain,
! [X_2,Z_1041] : ( multiply(inverse(X_2),multiply(X_2,Z_1041)) = Z_1041 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139259]) ).
tff(c_143364,plain,
! [X_1110,Z_1111] : ( multiply(inverse(inverse(X_1110)),Z_1111) = multiply(X_1110,Z_1111) ),
inference(superposition,[status(thm),theory(equality)],[c_143002,c_139274]) ).
tff(c_143098,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_143002]) ).
tff(c_143371,plain,
! [X_1110] : ( multiply(X_1110,identity) = X_1110 ),
inference(superposition,[status(thm),theory(equality)],[c_143364,c_143098]) ).
tff(c_112,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_139166,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_139041,c_112]) ).
tff(c_114,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_139061,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_139041,c_114]) ).
tff(c_139065,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_139061,c_4]) ).
tff(c_139250,plain,
! [Z_1041] : ( multiply(sk_c11,multiply(sk_c5,Z_1041)) = multiply(identity,Z_1041) ),
inference(superposition,[status(thm),theory(equality)],[c_139065,c_139208]) ).
tff(c_139299,plain,
! [Z_1043] : ( multiply(sk_c11,multiply(sk_c5,Z_1043)) = Z_1043 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139250]) ).
tff(c_139311,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_139166,c_139299]) ).
tff(c_139172,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_139041,c_108]) ).
tff(c_139082,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_139078,c_4]) ).
tff(c_139247,plain,
! [Z_1041] : ( multiply(sk_c12,multiply(sk_c4,Z_1041)) = multiply(identity,Z_1041) ),
inference(superposition,[status(thm),theory(equality)],[c_139082,c_139208]) ).
tff(c_139345,plain,
! [Z_1045] : ( multiply(sk_c12,multiply(sk_c4,Z_1045)) = Z_1045 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139247]) ).
tff(c_139363,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_139172,c_139345]) ).
tff(c_139412,plain,
! [X_1047,Z_1048] : ( multiply(inverse(X_1047),multiply(X_1047,Z_1048)) = Z_1048 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139259]) ).
tff(c_139439,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_139363,c_139412]) ).
tff(c_139529,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_139439]) ).
tff(c_139090,plain,
inverse(sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_139316,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c12) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(sk_c11,sk_c10) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139090,c_148]) ).
tff(c_139317,plain,
multiply(sk_c11,sk_c10) != sk_c12,
inference(splitLeft,[status(thm)],[c_139316]) ).
tff(c_139318,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_139311,c_139317]) ).
tff(c_139550,plain,
sk_c12 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_139529,c_139318]) ).
tff(c_139144,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_139041,c_116]) ).
tff(c_139472,plain,
multiply(inverse(sk_c6),sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_139144,c_139412]) ).
tff(c_139538,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_139053,c_139472]) ).
tff(c_139631,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_139538,c_139274]) ).
tff(c_139637,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_139631]) ).
tff(c_139639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139550,c_139637]) ).
tff(c_139641,plain,
multiply(sk_c11,sk_c10) = sk_c12,
inference(splitRight,[status(thm)],[c_139316]) ).
tff(c_141963,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_139311,c_139641]) ).
tff(c_139094,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_139090,c_4]) ).
tff(c_141976,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_141963,c_139094]) ).
tff(c_141977,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141963,c_139090]) ).
tff(c_143053,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_139311,c_143002]) ).
tff(c_143112,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_141976,c_141977,c_143053]) ).
tff(c_141979,plain,
inverse(sk_c4) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141963,c_139078]) ).
tff(c_141971,plain,
multiply(sk_c4,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141963,c_139172]) ).
tff(c_143032,plain,
multiply(inverse(sk_c4),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_141971,c_143002]) ).
tff(c_143108,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_141976,c_141979,c_143032]) ).
tff(c_143385,plain,
! [X_1110] : ( multiply(X_1110,inverse(X_1110)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_143364,c_4]) ).
tff(c_142100,plain,
! [X_1091,Z_1092] : ( multiply(inverse(X_1091),multiply(X_1091,Z_1092)) = Z_1092 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139259]) ).
tff(c_142133,plain,
multiply(inverse(sk_c4),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_141971,c_142100]) ).
tff(c_142210,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_141976,c_141979,c_142133]) ).
tff(c_142571,plain,
! [X_1097,Z_1098] : ( multiply(inverse(inverse(X_1097)),Z_1098) = multiply(X_1097,Z_1098) ),
inference(superposition,[status(thm),theory(equality)],[c_142100,c_139274]) ).
tff(c_142199,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_142100]) ).
tff(c_142578,plain,
! [X_1097] : ( multiply(X_1097,identity) = X_1097 ),
inference(superposition,[status(thm),theory(equality)],[c_142571,c_142199]) ).
tff(c_139650,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_139311,c_139641]) ).
tff(c_139663,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_139650,c_139094]) ).
tff(c_139658,plain,
multiply(sk_c4,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_139650,c_139172]) ).
tff(c_139270,plain,
! [Z_1041] : ( multiply(sk_c12,multiply(sk_c4,Z_1041)) = Z_1041 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139247]) ).
tff(c_139779,plain,
! [Z_1052] : ( multiply(sk_c11,multiply(sk_c4,Z_1052)) = Z_1052 ),
inference(demodulation,[status(thm),theory(equality)],[c_139650,c_139270]) ).
tff(c_139791,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_139658,c_139779]) ).
tff(c_139795,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_139663,c_139791]) ).
tff(c_139664,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_139650,c_139090]) ).
tff(c_139804,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_139795,c_139795,c_139664]) ).
tff(c_139830,plain,
! [X_1053,Z_1054] : ( multiply(inverse(X_1053),multiply(X_1053,Z_1054)) = Z_1054 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139259]) ).
tff(c_140226,plain,
! [X_1057,Z_1058] : ( multiply(inverse(inverse(X_1057)),Z_1058) = multiply(X_1057,Z_1058) ),
inference(superposition,[status(thm),theory(equality)],[c_139830,c_139274]) ).
tff(c_139881,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_139830]) ).
tff(c_140233,plain,
! [X_1057] : ( multiply(X_1057,identity) = X_1057 ),
inference(superposition,[status(thm),theory(equality)],[c_140226,c_139881]) ).
tff(c_120,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_139135,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_139041,c_120]) ).
tff(c_139660,plain,
multiply(sk_c9,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_139650,c_139135]) ).
tff(c_139800,plain,
multiply(sk_c9,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_139795,c_139795,c_139660]) ).
tff(c_139040,plain,
inverse(sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_122,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_139113,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_139041,c_122]) ).
tff(c_139117,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_139113,c_4]) ).
tff(c_139863,plain,
multiply(inverse(sk_c7),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_139117,c_139830]) ).
tff(c_139892,plain,
multiply(sk_c9,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_139040,c_139863]) ).
tff(c_140048,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_139800,c_139892]) ).
tff(c_140064,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_140048,c_139113]) ).
tff(c_140066,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_139804,c_140064]) ).
tff(c_126,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_139149,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_139041,c_126]) ).
tff(c_139241,plain,
! [Z_1041] : ( multiply(sk_c7,multiply(sk_c8,Z_1041)) = multiply(identity,Z_1041) ),
inference(superposition,[status(thm),theory(equality)],[c_139117,c_139208]) ).
tff(c_139276,plain,
! [Z_1042] : ( multiply(sk_c7,multiply(sk_c8,Z_1042)) = Z_1042 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139241]) ).
tff(c_139288,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_139149,c_139276]) ).
tff(c_140072,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_140066,c_140066,c_139288]) ).
tff(c_140075,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_140072]) ).
tff(c_139659,plain,
multiply(sk_c6,sk_c9) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_139650,c_139144]) ).
tff(c_139640,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X1_11] :
( ( multiply(X4_14,sk_c11) != sk_c12 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(inverse(X5_6),sk_c12) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_139316]) ).
tff(c_139649,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_139640]) ).
tff(c_139722,plain,
! [X8_1050,X7_1051] :
( ( inverse(multiply(X8_1050,inverse(X7_1051))) != inverse(X7_1051) )
| ( multiply(X8_1050,inverse(X7_1051)) != inverse(X8_1050) )
| ( multiply(inverse(X7_1051),sk_c11) != sk_c11 )
| ( multiply(X7_1051,inverse(X7_1051)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139650,c_139650,c_139649]) ).
tff(c_139737,plain,
! [X8_1050] :
( ( inverse(multiply(X8_1050,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_1050,inverse(sk_c6)) != inverse(X8_1050) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c11 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_139053,c_139722]) ).
tff(c_139754,plain,
! [X8_1050] :
( ( inverse(multiply(X8_1050,sk_c9)) != sk_c9 )
| ( multiply(X8_1050,sk_c9) != inverse(X8_1050) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139659,c_139053,c_139660,c_139053,c_139053,c_139053,c_139737]) ).
tff(c_141946,plain,
! [X8_1089] :
( ( inverse(X8_1089) != identity )
| ( inverse(X8_1089) != X8_1089 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140233,c_140075,c_140233,c_140075,c_140075,c_139754]) ).
tff(c_141954,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_139804,c_141946]) ).
tff(c_141961,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_139804,c_141954]) ).
tff(c_141962,plain,
! [X2_12,X1_11,X5_6,X4_14] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c12) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 )
| ( inverse(X4_14) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_139640]) ).
tff(c_142043,plain,
! [X2_12,X1_11,X5_6,X4_14] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c11) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c11 )
| ( inverse(X4_14) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141963,c_141963,c_141963,c_141963,c_141963,c_141962]) ).
tff(c_142044,plain,
! [X4_14] :
( ( multiply(X4_14,sk_c11) != sk_c11 )
| ( inverse(X4_14) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_142043]) ).
tff(c_142953,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_142210,c_142578,c_142210,c_142210,c_142044]) ).
tff(c_142251,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142210,c_142210,c_141977]) ).
tff(c_142955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142953,c_142251]) ).
tff(c_142956,plain,
! [X5_6,X1_11,X2_12] :
( ( multiply(inverse(X5_6),sk_c11) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X1_11) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_142043]) ).
tff(c_151622,plain,
! [X5_6,X1_11,X2_12] :
( ( inverse(X5_6) != identity )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X2_12) != identity )
| ( identity != X2_12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143371,c_143112,c_143108,c_143108,c_143371,c_143108,c_143108,c_143108,c_143385,c_143108,c_143371,c_143108,c_143108,c_142956]) ).
tff(c_151624,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_151622]) ).
tff(c_143142,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_143108,c_143108,c_141977]) ).
tff(c_151626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151624,c_143142]) ).
tff(c_151627,plain,
! [X1_11,X5_6] :
( ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X5_6) != identity ) ),
inference(splitRight,[status(thm)],[c_151622]) ).
tff(c_151628,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(splitLeft,[status(thm)],[c_151627]) ).
tff(c_151630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151628,c_143142]) ).
tff(c_151959,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_151627]) ).
tff(c_151961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151959,c_143142]) ).
tff(c_151963,plain,
inverse(sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_152466,plain,
inverse(identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_152442,c_151963]) ).
tff(c_152595,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_152593,c_152466]) ).
tff(c_152467,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_152442,c_139082]) ).
tff(c_152142,plain,
! [X_2,Z_1207] : ( multiply(inverse(X_2),multiply(X_2,Z_1207)) = Z_1207 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_152128]) ).
tff(c_152674,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_152467,c_152142]) ).
tff(c_152686,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_152674]) ).
tff(c_152468,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_152442,c_139078]) ).
tff(c_152730,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_152686,c_152468]) ).
tff(c_152733,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152595,c_152730]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP382-1 : 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
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:24:16 EDT 2023
% 0.14/0.36 % CPUTime :
% 28.21/14.05 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.38/14.15
% 28.38/14.15 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 28.54/14.24
% 28.54/14.24 Inference rules
% 28.54/14.24 ----------------------
% 28.54/14.24 #Ref : 0
% 28.54/14.24 #Sup : 36832
% 28.54/14.24 #Fact : 0
% 28.54/14.24 #Define : 0
% 28.54/14.24 #Split : 52
% 28.54/14.24 #Chain : 0
% 28.54/14.24 #Close : 0
% 28.54/14.24
% 28.54/14.24 Ordering : KBO
% 28.54/14.24
% 28.54/14.24 Simplification rules
% 28.54/14.24 ----------------------
% 28.54/14.24 #Subsume : 17
% 28.54/14.24 #Demod : 110632
% 28.54/14.24 #Tautology : 29932
% 28.54/14.24 #SimpNegUnit : 203
% 28.54/14.24 #BackRed : 1188
% 28.54/14.24
% 28.54/14.24 #Partial instantiations: 0
% 28.54/14.24 #Strategies tried : 1
% 28.54/14.24
% 28.54/14.24 Timing (in seconds)
% 28.54/14.24 ----------------------
% 28.54/14.24 Preprocessing : 0.61
% 28.54/14.24 Parsing : 0.21
% 28.54/14.24 CNF conversion : 0.03
% 28.54/14.24 Main loop : 12.40
% 28.54/14.24 Inferencing : 2.72
% 28.54/14.24 Reduction : 7.76
% 28.54/14.24 Demodulation : 7.23
% 28.54/14.24 BG Simplification : 0.23
% 28.54/14.24 Subsumption : 1.22
% 28.54/14.24 Abstraction : 0.66
% 28.54/14.24 MUC search : 0.00
% 28.54/14.24 Cooper : 0.00
% 28.54/14.24 Total : 13.22
% 28.54/14.24 Index Insertion : 0.00
% 28.54/14.24 Index Deletion : 0.00
% 28.54/14.24 Index Matching : 0.00
% 28.54/14.24 BG Taut test : 0.00
%------------------------------------------------------------------------------