TSTP Solution File: GRP307-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP307-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:51 EDT 2023
% Result : Unsatisfiable 17.19s 6.47s
% Output : CNFRefutation 17.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 55
% Syntax : Number of formulae : 657 ( 528 unt; 14 typ; 0 def)
% Number of atoms : 872 ( 849 equ)
% Maximal formula atoms : 16 ( 1 avg)
% Number of connectives : 472 ( 243 ~; 229 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 314 (; 314 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c11 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c11,type,
sk_c11: $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c11) = sk_c9 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_236,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c11 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c11,sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c2 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c11,sk_c10) = sk_c9 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_290,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( multiply(sk_c11,sk_c10) != sk_c9 )
| ( inverse(sk_c11) != sk_c9 )
| ( multiply(sk_c9,sk_c10) != sk_c11 )
| ( multiply(sk_c11,X3) != sk_c10 )
| ( multiply(X4,sk_c11) != X3 )
| ( inverse(X4) != sk_c11 )
| ( multiply(X1,sk_c11) != sk_c10 )
| ( inverse(X1) != sk_c11 )
| ( multiply(X2,sk_c10) != sk_c9 )
| ( inverse(X2) != sk_c10 )
| ( multiply(X5,X6) != sk_c11 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c10) != sk_c11 )
| ( inverse(X7) != X8 )
| ( inverse(X8) != X6 )
| ( multiply(X7,X6) != X8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c2 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c2 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c2 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c2 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c2 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c11,sk_c2) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c11,sk_c2) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c11,sk_c2) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( multiply(sk_c11,sk_c2) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( multiply(sk_c11,sk_c2) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( multiply(sk_c11,sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c11,sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c2 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c11,sk_c10) = sk_c9 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c11,sk_c10) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c11) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c11) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c11) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c11) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c11) = sk_c9 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c11) = sk_c9 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_215,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_218,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_230,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_40799,plain,
! [X_433,Y_434,Z_435] : ( multiply(multiply(X_433,Y_434),Z_435) = multiply(X_433,multiply(Y_434,Z_435)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_40847,plain,
! [X_2,Z_435] : ( multiply(inverse(X_2),multiply(X_2,Z_435)) = multiply(identity,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40799]) ).
tff(c_40861,plain,
! [X_2,Z_435] : ( multiply(inverse(X_2),multiply(X_2,Z_435)) = Z_435 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40847]) ).
tff(c_49796,plain,
! [X_549,Z_550] : ( multiply(inverse(X_549),multiply(X_549,Z_550)) = Z_550 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40847]) ).
tff(c_50266,plain,
! [X_555,Z_556] : ( multiply(inverse(inverse(X_555)),Z_556) = multiply(X_555,Z_556) ),
inference(superposition,[status(thm),theory(equality)],[c_40861,c_49796]) ).
tff(c_49904,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_49796]) ).
tff(c_50273,plain,
! [X_555] : ( multiply(X_555,identity) = X_555 ),
inference(superposition,[status(thm),theory(equality)],[c_50266,c_49904]) ).
tff(c_44,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_157,plain,
inverse(sk_c11) = sk_c9,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_161,plain,
multiply(sk_c9,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_157,c_4]) ).
tff(c_122,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_145,plain,
inverse(sk_c1) = sk_c11,
inference(splitLeft,[status(thm)],[c_122]) ).
tff(c_149,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_145,c_4]) ).
tff(c_39466,plain,
! [X_409,Y_410,Z_411] : ( multiply(multiply(X_409,Y_410),Z_411) = multiply(X_409,multiply(Y_410,Z_411)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_39511,plain,
! [Z_411] : ( multiply(sk_c9,multiply(sk_c11,Z_411)) = multiply(identity,Z_411) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_39466]) ).
tff(c_39534,plain,
! [Z_412] : ( multiply(sk_c9,multiply(sk_c11,Z_412)) = Z_412 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39511]) ).
tff(c_39549,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_149,c_39534]) ).
tff(c_36702,plain,
! [X_366,Y_367,Z_368] : ( multiply(multiply(X_366,Y_367),Z_368) = multiply(X_366,multiply(Y_367,Z_368)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36753,plain,
! [Z_368] : ( multiply(sk_c9,multiply(sk_c11,Z_368)) = multiply(identity,Z_368) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_36702]) ).
tff(c_36776,plain,
! [Z_369] : ( multiply(sk_c9,multiply(sk_c11,Z_369)) = Z_369 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36753]) ).
tff(c_36794,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_149,c_36776]) ).
tff(c_33467,plain,
! [X_311,Y_312,Z_313] : ( multiply(multiply(X_311,Y_312),Z_313) = multiply(X_311,multiply(Y_312,Z_313)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33521,plain,
! [Z_313] : ( multiply(sk_c9,multiply(sk_c11,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_33467]) ).
tff(c_33544,plain,
! [Z_314] : ( multiply(sk_c9,multiply(sk_c11,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33521]) ).
tff(c_33565,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_149,c_33544]) ).
tff(c_33065,plain,
! [X_304,Y_305,Z_306] : ( multiply(multiply(X_304,Y_305),Z_306) = multiply(X_304,multiply(Y_305,Z_306)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33119,plain,
! [Z_306] : ( multiply(sk_c9,multiply(sk_c11,Z_306)) = multiply(identity,Z_306) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_33065]) ).
tff(c_33142,plain,
! [Z_307] : ( multiply(sk_c9,multiply(sk_c11,Z_307)) = Z_307 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33119]) ).
tff(c_33163,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_149,c_33142]) ).
tff(c_243,plain,
! [X_16,Y_17,Z_18] : ( multiply(multiply(X_16,Y_17),Z_18) = multiply(X_16,multiply(Y_17,Z_18)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_276,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_243]) ).
tff(c_22365,plain,
! [X_194,Z_195] : ( multiply(inverse(X_194),multiply(X_194,Z_195)) = Z_195 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_276]) ).
tff(c_22389,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22365]) ).
tff(c_286,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_276]) ).
tff(c_22507,plain,
! [X_198,Z_199] : ( multiply(inverse(inverse(X_198)),Z_199) = multiply(X_198,Z_199) ),
inference(superposition,[status(thm),theory(equality)],[c_286,c_22365]) ).
tff(c_22541,plain,
! [X_2] : ( multiply(X_2,identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_22389,c_22507]) ).
tff(c_62,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c9,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_193,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_74,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c11,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_182,plain,
multiply(sk_c11,sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_270,plain,
! [Z_18] : ( multiply(sk_c9,multiply(sk_c11,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_243]) ).
tff(c_288,plain,
! [Z_19] : ( multiply(sk_c9,multiply(sk_c11,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_270]) ).
tff(c_300,plain,
multiply(sk_c9,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_182,c_288]) ).
tff(c_310,plain,
sk_c2 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_193,c_300]) ).
tff(c_312,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_310,c_182]) ).
tff(c_102,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c11) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_188,plain,
multiply(sk_c1,sk_c11) = sk_c2,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_311,plain,
multiply(sk_c1,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_310,c_188]) ).
tff(c_273,plain,
! [Z_18] : ( multiply(sk_c11,multiply(sk_c1,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_243]) ).
tff(c_602,plain,
! [Z_26] : ( multiply(sk_c11,multiply(sk_c1,Z_26)) = Z_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_273]) ).
tff(c_617,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_311,c_602]) ).
tff(c_621,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_312,c_617]) ).
tff(c_629,plain,
multiply(sk_c9,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_621,c_161]) ).
tff(c_627,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_621,c_193]) ).
tff(c_22351,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_629,c_627]) ).
tff(c_630,plain,
inverse(sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_621,c_157]) ).
tff(c_22354,plain,
inverse(identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_22351,c_630]) ).
tff(c_306,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_149,c_288]) ).
tff(c_22331,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_630,c_4]) ).
tff(c_22415,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_306,c_22351,c_22331]) ).
tff(c_632,plain,
inverse(sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_621,c_145]) ).
tff(c_22356,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22351,c_632]) ).
tff(c_22421,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22354,c_22415,c_22356]) ).
tff(c_688,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_629,c_627]) ).
tff(c_653,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_630,c_4]) ).
tff(c_752,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_306,c_688,c_653]) ).
tff(c_694,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_688,c_632]) ).
tff(c_753,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_752,c_694]) ).
tff(c_703,plain,
! [X_27,Z_28] : ( multiply(inverse(X_27),multiply(X_27,Z_28)) = Z_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_276]) ).
tff(c_857,plain,
! [X_31,Z_32] : ( multiply(inverse(inverse(X_31)),Z_32) = multiply(X_31,Z_32) ),
inference(superposition,[status(thm),theory(equality)],[c_703,c_286]) ).
tff(c_727,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_703]) ).
tff(c_868,plain,
! [X_31] : ( multiply(X_31,identity) = X_31 ),
inference(superposition,[status(thm),theory(equality)],[c_857,c_727]) ).
tff(c_902,plain,
! [X_31] : ( multiply(X_31,inverse(X_31)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_857]) ).
tff(c_909,plain,
! [X_33] : ( multiply(X_33,identity) = X_33 ),
inference(superposition,[status(thm),theory(equality)],[c_857,c_727]) ).
tff(c_955,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_727,c_909]) ).
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_1148,plain,
! [X_38,Y_39,Z_40] : ( multiply(inverse(multiply(X_38,Y_39)),multiply(X_38,multiply(Y_39,Z_40))) = Z_40 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_703]) ).
tff(c_1196,plain,
! [X_38,X_31] : ( multiply(inverse(multiply(X_38,X_31)),multiply(X_38,identity)) = inverse(X_31) ),
inference(superposition,[status(thm),theory(equality)],[c_902,c_1148]) ).
tff(c_1519,plain,
! [X_47,X_48] : ( multiply(inverse(multiply(X_47,X_48)),X_47) = inverse(X_48) ),
inference(demodulation,[status(thm),theory(equality)],[c_868,c_1196]) ).
tff(c_1252,plain,
! [X_38,X_31] : ( multiply(inverse(multiply(X_38,X_31)),X_38) = inverse(X_31) ),
inference(demodulation,[status(thm),theory(equality)],[c_868,c_1196]) ).
tff(c_1522,plain,
! [X_48,X_47] : ( multiply(inverse(inverse(X_48)),inverse(multiply(X_47,X_48))) = inverse(X_47) ),
inference(superposition,[status(thm),theory(equality)],[c_1519,c_1252]) ).
tff(c_1632,plain,
! [X_49,X_50] : ( multiply(X_49,inverse(multiply(X_50,X_49))) = inverse(X_50) ),
inference(demodulation,[status(thm),theory(equality)],[c_955,c_1522]) ).
tff(c_898,plain,
! [X_31,Z_18] : ( multiply(X_31,multiply(inverse(X_31),Z_18)) = Z_18 ),
inference(superposition,[status(thm),theory(equality)],[c_286,c_857]) ).
tff(c_1660,plain,
! [X_50,X_31] : ( inverse(multiply(X_50,inverse(X_31))) = multiply(X_31,inverse(X_50)) ),
inference(superposition,[status(thm),theory(equality)],[c_1632,c_898]) ).
tff(c_353,plain,
! [Z_20] : ( multiply(sk_c11,multiply(sk_c1,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_273]) ).
tff(c_368,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_311,c_353]) ).
tff(c_372,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_312,c_368]) ).
tff(c_397,plain,
multiply(sk_c9,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_372,c_161]) ).
tff(c_395,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_372,c_193]) ).
tff(c_460,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_397,c_395]) ).
tff(c_392,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_372,c_372,c_312]) ).
tff(c_398,plain,
inverse(sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_372,c_157]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c11,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_177,plain,
multiply(sk_c11,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_128,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X4_13,sk_c11)) != sk_c10 )
| ( multiply(sk_c9,sk_c10) != sk_c11 )
| ( inverse(sk_c11) != sk_c9 )
| ( multiply(sk_c11,sk_c10) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_290]) ).
tff(c_333,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X4_13,sk_c11)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177,c_157,c_193,c_128]) ).
tff(c_334,plain,
! [X4_13] :
( ( inverse(X4_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X4_13,sk_c11)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_333]) ).
tff(c_430,plain,
! [X4_13] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_13,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_372,c_372,c_372,c_334]) ).
tff(c_451,plain,
( ( inverse(sk_c10) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_392,c_430]) ).
tff(c_458,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_392,c_398,c_451]) ).
tff(c_482,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_460,c_458]) ).
tff(c_486,plain,
inverse(identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_460,c_398]) ).
tff(c_511,plain,
! [X_23,Z_24] : ( multiply(inverse(X_23),multiply(X_23,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_276]) ).
tff(c_541,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_511]) ).
tff(c_546,plain,
! [X_1] : ( multiply(sk_c9,X_1) = X_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_486,c_541]) ).
tff(c_557,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_546,c_306]) ).
tff(c_400,plain,
inverse(sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_372,c_145]) ).
tff(c_485,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_460,c_400]) ).
tff(c_574,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_557,c_485]) ).
tff(c_580,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_574,c_486]) ).
tff(c_582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_482,c_580]) ).
tff(c_583,plain,
! [X1_10,X2_11,X7_9,X5_6] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_333]) ).
tff(c_637,plain,
! [X1_10,X2_11,X7_9,X5_6] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_621,c_621,c_621,c_621,c_583]) ).
tff(c_638,plain,
! [X7_9,X5_6] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_637]) ).
tff(c_22195,plain,
! [X5_191,X7_192] :
( ( multiply(X5_191,inverse(X7_192)) != inverse(X5_191) )
| ( multiply(X7_192,inverse(X5_191)) != inverse(X7_192) )
| ( inverse(X5_191) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_902,c_688,c_868,c_688,c_688,c_1660,c_638]) ).
tff(c_22259,plain,
! [X7_192] :
( ( inverse(identity) != inverse(X7_192) )
| ( multiply(X7_192,inverse(identity)) != inverse(X7_192) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_22195]) ).
tff(c_22286,plain,
! [X7_193] :
( ( inverse(X7_193) != identity )
| ( inverse(X7_193) != X7_193 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_753,c_868,c_753,c_753,c_22259]) ).
tff(c_22298,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_753,c_22286]) ).
tff(c_22307,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_753,c_22298]) ).
tff(c_22308,plain,
! [X2_11,X1_10] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_637]) ).
tff(c_32934,plain,
! [X2_11,X1_10] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22541,c_22351,c_22351,c_22351,c_22541,c_22421,c_22351,c_22351,c_22308]) ).
tff(c_32936,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_32934]) ).
tff(c_22422,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22421,c_22354]) ).
tff(c_32938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32936,c_22422]) ).
tff(c_32940,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_32934]) ).
tff(c_32942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32940,c_22422]) ).
tff(c_32944,plain,
multiply(sk_c9,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c9,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_33002,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_32944,c_50]) ).
tff(c_33006,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33002,c_4]) ).
tff(c_33154,plain,
multiply(sk_c9,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_33006,c_33142]) ).
tff(c_33192,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_33163,c_33154]) ).
tff(c_48,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c9,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_33050,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32944,c_48]) ).
tff(c_33193,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33192,c_33050]) ).
tff(c_33202,plain,
sk_c2 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33193,c_188]) ).
tff(c_33157,plain,
multiply(sk_c9,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_182,c_33142]) ).
tff(c_33167,plain,
sk_c2 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_33157,c_32944]) ).
tff(c_33227,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33202,c_33167]) ).
tff(c_33229,plain,
multiply(sk_c11,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33202,c_182]) ).
tff(c_33125,plain,
! [X_2,Z_306] : ( multiply(inverse(X_2),multiply(X_2,Z_306)) = multiply(identity,Z_306) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33065]) ).
tff(c_33264,plain,
! [X_309,Z_310] : ( multiply(inverse(X_309),multiply(X_309,Z_310)) = Z_310 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33125]) ).
tff(c_33285,plain,
multiply(inverse(sk_c1),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_33193,c_33264]) ).
tff(c_33337,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33229,c_145,c_33285]) ).
tff(c_33339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33227,c_33337]) ).
tff(c_33341,plain,
multiply(sk_c1,sk_c11) != sk_c2,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_90,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_33371,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_33341,c_90]) ).
tff(c_33375,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33371,c_4]) ).
tff(c_33556,plain,
multiply(sk_c9,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_33375,c_33544]) ).
tff(c_33605,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_33565,c_33556]) ).
tff(c_88,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_33447,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_33341,c_88]) ).
tff(c_33606,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33605,c_33447]) ).
tff(c_33524,plain,
! [Z_313] : ( multiply(sk_c11,multiply(sk_c1,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_33467]) ).
tff(c_33642,plain,
! [Z_316] : ( multiply(sk_c11,multiply(sk_c1,Z_316)) = Z_316 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33524]) ).
tff(c_33657,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_33606,c_33642]) ).
tff(c_33540,plain,
! [Z_313] : ( multiply(sk_c9,multiply(sk_c11,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33521]) ).
tff(c_33665,plain,
multiply(sk_c9,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33657,c_33540]) ).
tff(c_33671,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161,c_33665]) ).
tff(c_58,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c9,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_33383,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_33559,plain,
multiply(sk_c9,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_182,c_33544]) ).
tff(c_33569,plain,
sk_c2 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_33383,c_33559]) ).
tff(c_33570,plain,
multiply(sk_c1,sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_33569,c_33341]) ).
tff(c_33641,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33606,c_33570]) ).
tff(c_33688,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_33671,c_33641]) ).
tff(c_94,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_33355,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_33341,c_94]) ).
tff(c_33693,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33671,c_33355]) ).
tff(c_33661,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_33657,c_177]) ).
tff(c_92,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c11) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_33429,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_33341,c_92]) ).
tff(c_33677,plain,
multiply(sk_c4,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_33661,c_33429]) ).
tff(c_33754,plain,
multiply(sk_c4,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_33671,c_33677]) ).
tff(c_33527,plain,
! [X_2,Z_313] : ( multiply(inverse(X_2),multiply(X_2,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33467]) ).
tff(c_33771,plain,
! [X_318,Z_319] : ( multiply(inverse(X_318),multiply(X_318,Z_319)) = Z_319 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33527]) ).
tff(c_33792,plain,
multiply(inverse(sk_c4),sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33754,c_33771]) ).
tff(c_33850,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33693,c_33792]) ).
tff(c_33852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33688,c_33850]) ).
tff(c_33853,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_96,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_33925,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_33341,c_96]) ).
tff(c_33943,plain,
! [X_320,Y_321,Z_322] : ( multiply(multiply(X_320,Y_321),Z_322) = multiply(X_320,multiply(Y_321,Z_322)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34000,plain,
! [X_2,Z_322] : ( multiply(inverse(X_2),multiply(X_2,Z_322)) = multiply(identity,Z_322) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33943]) ).
tff(c_34077,plain,
! [X_324,Z_325] : ( multiply(inverse(X_324),multiply(X_324,Z_325)) = Z_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34000]) ).
tff(c_34110,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33925,c_34077]) ).
tff(c_34171,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33853,c_34110]) ).
tff(c_34015,plain,
! [X_2,Z_322] : ( multiply(inverse(X_2),multiply(X_2,Z_322)) = Z_322 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34000]) ).
tff(c_34182,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_34171,c_34015]) ).
tff(c_34188,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34182]) ).
tff(c_33994,plain,
! [Z_322] : ( multiply(sk_c9,multiply(sk_c11,Z_322)) = multiply(identity,Z_322) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_33943]) ).
tff(c_34017,plain,
! [Z_323] : ( multiply(sk_c9,multiply(sk_c11,Z_323)) = Z_323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33994]) ).
tff(c_34032,plain,
multiply(sk_c9,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_182,c_34017]) ).
tff(c_33854,plain,
multiply(sk_c9,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_34044,plain,
sk_c2 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_34032,c_33854]) ).
tff(c_34191,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34188,c_34044]) ).
tff(c_34197,plain,
multiply(identity,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_34188,c_177]) ).
tff(c_34203,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34197]) ).
tff(c_33904,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_33341,c_92]) ).
tff(c_34119,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33904,c_34077]) ).
tff(c_34173,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33355,c_34119]) ).
tff(c_34275,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34203,c_34173]) ).
tff(c_34279,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34275,c_34015]) ).
tff(c_34285,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34279]) ).
tff(c_34196,plain,
multiply(identity,sk_c2) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34188,c_182]) ).
tff(c_34475,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34285,c_34196]) ).
tff(c_34479,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_34475,c_34015]) ).
tff(c_34491,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34479]) ).
tff(c_34493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34191,c_34491]) ).
tff(c_34495,plain,
multiply(sk_c11,sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_70,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c11,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_36626,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_34495,c_70]) ).
tff(c_36630,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36626,c_4]) ).
tff(c_36788,plain,
multiply(sk_c9,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_36630,c_36776]) ).
tff(c_36815,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_36794,c_36788]) ).
tff(c_68,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c11,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_36659,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34495,c_68]) ).
tff(c_36816,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36815,c_36659]) ).
tff(c_36756,plain,
! [Z_368] : ( multiply(sk_c11,multiply(sk_c1,Z_368)) = multiply(identity,Z_368) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_36702]) ).
tff(c_36859,plain,
! [Z_371] : ( multiply(sk_c11,multiply(sk_c1,Z_371)) = Z_371 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36756]) ).
tff(c_36874,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36816,c_36859]) ).
tff(c_36878,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_36874,c_177]) ).
tff(c_35279,plain,
! [X_341,Y_342,Z_343] : ( multiply(multiply(X_341,Y_342),Z_343) = multiply(X_341,multiply(Y_342,Z_343)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35330,plain,
! [Z_343] : ( multiply(sk_c9,multiply(sk_c11,Z_343)) = multiply(identity,Z_343) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_35279]) ).
tff(c_35353,plain,
! [Z_344] : ( multiply(sk_c9,multiply(sk_c11,Z_344)) = Z_344 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35330]) ).
tff(c_35371,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_149,c_35353]) ).
tff(c_34545,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_34495,c_70]) ).
tff(c_34549,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34545,c_4]) ).
tff(c_35365,plain,
multiply(sk_c9,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_34549,c_35353]) ).
tff(c_36304,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_35371,c_35365]) ).
tff(c_34627,plain,
! [X_329,Y_330,Z_331] : ( multiply(multiply(X_329,Y_330),Z_331) = multiply(X_329,multiply(Y_330,Z_331)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34681,plain,
! [Z_331] : ( multiply(sk_c9,multiply(sk_c11,Z_331)) = multiply(identity,Z_331) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_34627]) ).
tff(c_34704,plain,
! [Z_332] : ( multiply(sk_c9,multiply(sk_c11,Z_332)) = Z_332 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34681]) ).
tff(c_34722,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_149,c_34704]) ).
tff(c_34716,plain,
multiply(sk_c9,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_34549,c_34704]) ).
tff(c_34965,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_34722,c_34716]) ).
tff(c_34590,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34495,c_68]) ).
tff(c_34966,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34965,c_34590]) ).
tff(c_34684,plain,
! [Z_331] : ( multiply(sk_c11,multiply(sk_c1,Z_331)) = multiply(identity,Z_331) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_34627]) ).
tff(c_34990,plain,
! [Z_335] : ( multiply(sk_c11,multiply(sk_c1,Z_335)) = Z_335 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34684]) ).
tff(c_35005,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_34966,c_34990]) ).
tff(c_34700,plain,
! [Z_331] : ( multiply(sk_c9,multiply(sk_c11,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34681]) ).
tff(c_35040,plain,
multiply(sk_c9,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35005,c_34700]) ).
tff(c_35046,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161,c_35040]) ).
tff(c_35036,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_35005,c_177]) ).
tff(c_34583,plain,
multiply(sk_c1,sk_c11) = sk_c2,
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_34975,plain,
sk_c2 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34966,c_34583]) ).
tff(c_34984,plain,
multiply(sk_c11,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34975,c_34495]) ).
tff(c_34985,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_177,c_34984]) ).
tff(c_35049,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35036,c_34985]) ).
tff(c_35062,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35046,c_35049]) ).
tff(c_34494,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_35068,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35046,c_34494]) ).
tff(c_72,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c11,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_34596,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34495,c_72]) ).
tff(c_35053,plain,
multiply(sk_c4,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_35036,c_34596]) ).
tff(c_35142,plain,
multiply(sk_c4,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_35046,c_35053]) ).
tff(c_34687,plain,
! [X_2,Z_331] : ( multiply(inverse(X_2),multiply(X_2,Z_331)) = multiply(identity,Z_331) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34627]) ).
tff(c_35151,plain,
! [X_339,Z_340] : ( multiply(inverse(X_339),multiply(X_339,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34687]) ).
tff(c_35169,plain,
multiply(inverse(sk_c4),sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35142,c_35151]) ).
tff(c_35230,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35068,c_35169]) ).
tff(c_35232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35062,c_35230]) ).
tff(c_35233,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_36305,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36304,c_35233]) ).
tff(c_35333,plain,
! [Z_343] : ( multiply(sk_c11,multiply(sk_c1,Z_343)) = multiply(identity,Z_343) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_35279]) ).
tff(c_36356,plain,
! [Z_361] : ( multiply(sk_c11,multiply(sk_c1,Z_361)) = Z_361 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35333]) ).
tff(c_36371,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36305,c_36356]) ).
tff(c_35349,plain,
! [Z_343] : ( multiply(sk_c9,multiply(sk_c11,Z_343)) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35330]) ).
tff(c_36486,plain,
multiply(sk_c9,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36371,c_35349]) ).
tff(c_36492,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161,c_36486]) ).
tff(c_36482,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_36371,c_177]) ).
tff(c_34499,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34494,c_4]) ).
tff(c_34520,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_36314,plain,
! [Z_360] : ( multiply(sk_c9,multiply(sk_c10,Z_360)) = multiply(sk_c11,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_34520,c_35279]) ).
tff(c_36326,plain,
multiply(sk_c9,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_34499,c_36314]) ).
tff(c_36330,plain,
multiply(sk_c11,sk_c4) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_35371,c_36326]) ).
tff(c_36342,plain,
multiply(sk_c9,sk_c1) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_36330,c_35349]) ).
tff(c_36494,plain,
multiply(sk_c11,sk_c1) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_36482,c_36342]) ).
tff(c_36503,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_149,c_36494]) ).
tff(c_36511,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36503,c_34494]) ).
tff(c_36548,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36492,c_36511]) ).
tff(c_36376,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_36371,c_177]) ).
tff(c_36396,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_36376,c_157]) ).
tff(c_36380,plain,
multiply(sk_c9,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36371,c_35349]) ).
tff(c_36386,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161,c_36380]) ).
tff(c_35368,plain,
multiply(sk_c9,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_177,c_35353]) ).
tff(c_36390,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36376,c_36376,c_35368]) ).
tff(c_36451,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36386,c_36390]) ).
tff(c_35717,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_35371,c_35365]) ).
tff(c_35718,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35717,c_35233]) ).
tff(c_35769,plain,
! [Z_350] : ( multiply(sk_c11,multiply(sk_c1,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35333]) ).
tff(c_35784,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_35718,c_35769]) ).
tff(c_35826,plain,
multiply(sk_c9,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35784,c_35349]) ).
tff(c_35832,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161,c_35826]) ).
tff(c_35822,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_35784,c_177]) ).
tff(c_35727,plain,
! [Z_349] : ( multiply(sk_c9,multiply(sk_c10,Z_349)) = multiply(sk_c11,Z_349) ),
inference(superposition,[status(thm),theory(equality)],[c_34520,c_35279]) ).
tff(c_35739,plain,
multiply(sk_c9,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_34499,c_35727]) ).
tff(c_35743,plain,
multiply(sk_c11,sk_c4) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_35371,c_35739]) ).
tff(c_35755,plain,
multiply(sk_c9,sk_c1) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_35743,c_35349]) ).
tff(c_35834,plain,
multiply(sk_c11,sk_c1) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_35822,c_35755]) ).
tff(c_35843,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_149,c_35834]) ).
tff(c_35851,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35843,c_34494]) ).
tff(c_35889,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35832,c_35851]) ).
tff(c_84,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c11,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_34529,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34495,c_84]) ).
tff(c_82,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c11,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_34563,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_34495,c_82]) ).
tff(c_34567,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34563,c_4]) ).
tff(c_35336,plain,
! [X_2,Z_343] : ( multiply(inverse(X_2),multiply(X_2,Z_343)) = multiply(identity,Z_343) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35279]) ).
tff(c_35906,plain,
! [X_354,Z_355] : ( multiply(inverse(X_354),multiply(X_354,Z_355)) = Z_355 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35336]) ).
tff(c_35945,plain,
multiply(inverse(sk_c6),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34567,c_35906]) ).
tff(c_35981,plain,
multiply(sk_c8,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34529,c_35945]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c11,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_34508,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34495,c_78]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c11,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_35247,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_34495,c_76]) ).
tff(c_35942,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35247,c_35906]) ).
tff(c_35980,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34508,c_35942]) ).
tff(c_35351,plain,
! [X_2,Z_343] : ( multiply(inverse(X_2),multiply(X_2,Z_343)) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35336]) ).
tff(c_35999,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_35980,c_35351]) ).
tff(c_36005,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35999]) ).
tff(c_36012,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36005,c_35247]) ).
tff(c_36089,plain,
multiply(inverse(sk_c5),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36012,c_35351]) ).
tff(c_36095,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35981,c_34508,c_36089]) ).
tff(c_35234,plain,
multiply(sk_c1,sk_c11) != sk_c2,
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_100,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_35255,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_35234,c_100]) ).
tff(c_35297,plain,
! [Z_343] : ( multiply(sk_c8,multiply(sk_c10,Z_343)) = multiply(sk_c11,Z_343) ),
inference(superposition,[status(thm),theory(equality)],[c_35255,c_35279]) ).
tff(c_36189,plain,
! [Z_343] : ( multiply(sk_c7,Z_343) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_36095,c_2,c_36005,c_2,c_35832,c_35297]) ).
tff(c_36007,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36005,c_35980]) ).
tff(c_36176,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36095,c_36095,c_36007]) ).
tff(c_36190,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36189,c_36176]) ).
tff(c_36218,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36190,c_36095]) ).
tff(c_35393,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_35371,c_35365]) ).
tff(c_35394,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35393,c_35233]) ).
tff(c_35498,plain,
! [X_347,Z_348] : ( multiply(inverse(X_347),multiply(X_347,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35336]) ).
tff(c_35522,plain,
multiply(inverse(sk_c1),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_35394,c_35498]) ).
tff(c_35600,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_177,c_145,c_35522]) ).
tff(c_35617,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_35600,c_157]) ).
tff(c_35629,plain,
multiply(sk_c11,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35617,c_4]) ).
tff(c_35376,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X4_13,sk_c11)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177,c_157,c_34520,c_128]) ).
tff(c_35411,plain,
! [X4_345] :
( ( inverse(X4_345) != sk_c11 )
| ( multiply(sk_c11,multiply(X4_345,sk_c11)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_35376]) ).
tff(c_35429,plain,
( ( inverse(identity) != sk_c11 )
| ( multiply(sk_c11,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_35411]) ).
tff(c_35458,plain,
multiply(sk_c11,sk_c11) != sk_c10,
inference(splitLeft,[status(thm)],[c_35429]) ).
tff(c_35433,plain,
! [Z_346] : ( multiply(sk_c11,multiply(sk_c1,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35333]) ).
tff(c_35452,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_35394,c_35433]) ).
tff(c_35459,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_35452,c_177]) ).
tff(c_35473,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35459,c_35459,c_35368]) ).
tff(c_35480,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35458,c_35473]) ).
tff(c_35482,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(splitRight,[status(thm)],[c_35429]) ).
tff(c_35648,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35629,c_35482]) ).
tff(c_35242,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35234,c_92]) ).
tff(c_35546,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35242,c_35498]) ).
tff(c_35603,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34494,c_35546]) ).
tff(c_35633,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35600,c_35603]) ).
tff(c_35637,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_35633,c_35351]) ).
tff(c_35646,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35637]) ).
tff(c_35377,plain,
! [X4_13] :
( ( inverse(X4_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X4_13,sk_c11)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_35376]) ).
tff(c_35440,plain,
( ( inverse(sk_c1) != sk_c11 )
| ( sk_c11 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_35433,c_35377]) ).
tff(c_35455,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_145,c_35440]) ).
tff(c_35671,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35646,c_35455]) ).
tff(c_35699,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35648,c_35671]) ).
tff(c_35700,plain,
! [X1_10,X2_11,X7_9,X5_6] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_35376]) ).
tff(c_35788,plain,
! [X7_351,X5_352] :
( ( inverse(multiply(X7_351,inverse(X5_352))) != inverse(X5_352) )
| ( multiply(X7_351,inverse(X5_352)) != inverse(X7_351) )
| ( multiply(inverse(X5_352),sk_c10) != sk_c11 )
| ( multiply(X5_352,inverse(X5_352)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_35700]) ).
tff(c_35797,plain,
! [X7_351] :
( ( inverse(multiply(X7_351,sk_c8)) != inverse(sk_c5) )
| ( multiply(X7_351,inverse(sk_c5)) != inverse(X7_351) )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_34508,c_35788]) ).
tff(c_35815,plain,
! [X7_351] :
( ( inverse(multiply(X7_351,sk_c8)) != sk_c8 )
| ( multiply(X7_351,sk_c8) != inverse(X7_351) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35247,c_34508,c_35255,c_34508,c_34508,c_34508,c_35797]) ).
tff(c_36267,plain,
! [X7_359] :
( ( inverse(multiply(X7_359,identity)) != identity )
| ( multiply(X7_359,identity) != inverse(X7_359) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36218,c_36218,c_36218,c_35815]) ).
tff(c_36278,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36267]) ).
tff(c_36287,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35889,c_35889,c_4,c_35889,c_36278]) ).
tff(c_36288,plain,
! [X2_11,X1_10] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_35700]) ).
tff(c_36375,plain,
! [X1_10] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_36288]) ).
tff(c_36461,plain,
! [X1_363] :
( ( inverse(X1_363) != sk_c11 )
| ( multiply(X1_363,sk_c11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36386,c_36375]) ).
tff(c_36464,plain,
inverse(sk_c11) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36451,c_36461]) ).
tff(c_36480,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36396,c_36464]) ).
tff(c_36481,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_36288]) ).
tff(c_36567,plain,
! [X2_365] :
( ( inverse(X2_365) != identity )
| ( multiply(X2_365,identity) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36492,c_36482,c_36492,c_36481]) ).
tff(c_36575,plain,
( ( inverse(inverse(identity)) != identity )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36567]) ).
tff(c_36581,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36548,c_36548,c_36575]) ).
tff(c_36499,plain,
multiply(sk_c4,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_36482,c_35242]) ).
tff(c_36586,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36492,c_2,c_36503,c_36499]) ).
tff(c_36587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36581,c_36586]) ).
tff(c_36589,plain,
multiply(sk_c9,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_36895,plain,
multiply(sk_c11,sk_c10) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_36878,c_36589]) ).
tff(c_36900,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36874,c_36895]) ).
tff(c_36901,plain,
inverse(sk_c3) = sk_c11,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_36906,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36901,c_4]) ).
tff(c_39546,plain,
multiply(sk_c9,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_36906,c_39534]) ).
tff(c_39563,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_39549,c_39546]) ).
tff(c_36902,plain,
multiply(sk_c11,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_8,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c11,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_38988,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36902,c_8]) ).
tff(c_39572,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_39563,c_38988]) ).
tff(c_39514,plain,
! [Z_411] : ( multiply(sk_c11,multiply(sk_c1,Z_411)) = multiply(identity,Z_411) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_39466]) ).
tff(c_39611,plain,
! [Z_414] : ( multiply(sk_c11,multiply(sk_c1,Z_414)) = Z_414 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39514]) ).
tff(c_39626,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_39572,c_39611]) ).
tff(c_39530,plain,
! [Z_411] : ( multiply(sk_c9,multiply(sk_c11,Z_411)) = Z_411 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39511]) ).
tff(c_39634,plain,
multiply(sk_c9,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_39626,c_39530]) ).
tff(c_39640,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161,c_39634]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c11,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_38930,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36902,c_14]) ).
tff(c_39036,plain,
! [X_400,Y_401,Z_402] : ( multiply(multiply(X_400,Y_401),Z_402) = multiply(X_400,multiply(Y_401,Z_402)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_39087,plain,
! [Z_402] : ( multiply(sk_c9,multiply(sk_c11,Z_402)) = multiply(identity,Z_402) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_39036]) ).
tff(c_39110,plain,
! [Z_403] : ( multiply(sk_c9,multiply(sk_c11,Z_403)) = Z_403 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39087]) ).
tff(c_39128,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_149,c_39110]) ).
tff(c_39125,plain,
multiply(sk_c9,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_36906,c_39110]) ).
tff(c_39147,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_39128,c_39125]) ).
tff(c_39158,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_39147,c_38988]) ).
tff(c_39090,plain,
! [Z_402] : ( multiply(sk_c11,multiply(sk_c1,Z_402)) = multiply(identity,Z_402) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_39036]) ).
tff(c_39215,plain,
! [Z_405] : ( multiply(sk_c11,multiply(sk_c1,Z_405)) = Z_405 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39090]) ).
tff(c_39233,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_39158,c_39215]) ).
tff(c_39106,plain,
! [Z_402] : ( multiply(sk_c9,multiply(sk_c11,Z_402)) = Z_402 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39087]) ).
tff(c_39244,plain,
multiply(sk_c9,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_39233,c_39106]) ).
tff(c_39251,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161,c_39244]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c9,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_38993,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_39260,plain,
multiply(sk_c9,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_39251,c_38993]) ).
tff(c_39264,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_39128,c_39260]) ).
tff(c_39237,plain,
sk_c9 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_39233,c_36902]) ).
tff(c_39349,plain,
sk_c9 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_39264,c_39237]) ).
tff(c_39357,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_39264,c_145]) ).
tff(c_39355,plain,
inverse(sk_c1) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_39264,c_157]) ).
tff(c_39423,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_39357,c_39355]) ).
tff(c_39424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39349,c_39423]) ).
tff(c_39425,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_39517,plain,
! [X_2,Z_411] : ( multiply(inverse(X_2),multiply(X_2,Z_411)) = multiply(identity,Z_411) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39466]) ).
tff(c_39642,plain,
! [X_415,Z_416] : ( multiply(inverse(X_415),multiply(X_415,Z_416)) = Z_416 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39517]) ).
tff(c_39687,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_39425,c_39642]) ).
tff(c_39741,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_38930,c_39687]) ).
tff(c_39818,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39640,c_2,c_39640,c_39741]) ).
tff(c_39630,plain,
sk_c9 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_39626,c_36902]) ).
tff(c_39819,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_39818,c_39630]) ).
tff(c_39754,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39640,c_38930]) ).
tff(c_39803,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39754,c_4]) ).
tff(c_39532,plain,
! [X_2,Z_411] : ( multiply(inverse(X_2),multiply(X_2,Z_411)) = Z_411 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39517]) ).
tff(c_39886,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_39803,c_39532]) ).
tff(c_39898,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39886]) ).
tff(c_39902,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39898,c_39754]) ).
tff(c_39820,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_39818,c_39549]) ).
tff(c_39824,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39820]) ).
tff(c_39863,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_39824,c_145]) ).
tff(c_39922,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39902,c_39863]) ).
tff(c_39924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39819,c_39922]) ).
tff(c_39926,plain,
inverse(sk_c11) != sk_c9,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_40032,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_39926,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_39978,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_39926,c_34]) ).
tff(c_39982,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39978,c_4]) ).
tff(c_40060,plain,
! [X_419,Y_420,Z_421] : ( multiply(multiply(X_419,Y_420),Z_421) = multiply(X_419,multiply(Y_420,Z_421)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_40090,plain,
! [Z_421] : ( multiply(sk_c10,multiply(sk_c4,Z_421)) = multiply(identity,Z_421) ),
inference(superposition,[status(thm),theory(equality)],[c_39982,c_40060]) ).
tff(c_40124,plain,
! [Z_422] : ( multiply(sk_c10,multiply(sk_c4,Z_422)) = Z_422 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40090]) ).
tff(c_40136,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_40032,c_40124]) ).
tff(c_40108,plain,
! [X_2,Z_421] : ( multiply(inverse(X_2),multiply(X_2,Z_421)) = multiply(identity,Z_421) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40060]) ).
tff(c_40292,plain,
! [X_429,Z_430] : ( multiply(inverse(X_429),multiply(X_429,Z_430)) = Z_430 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40108]) ).
tff(c_40343,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_40136,c_40292]) ).
tff(c_40416,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40343]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_40000,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_39926,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_39952,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_39926,c_38]) ).
tff(c_39956,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39952,c_4]) ).
tff(c_40096,plain,
! [Z_421] : ( multiply(sk_c8,multiply(sk_c5,Z_421)) = multiply(identity,Z_421) ),
inference(superposition,[status(thm),theory(equality)],[c_39956,c_40060]) ).
tff(c_40147,plain,
! [Z_423] : ( multiply(sk_c8,multiply(sk_c5,Z_423)) = Z_423 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40096]) ).
tff(c_40159,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40000,c_40147]) ).
tff(c_40337,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_40159,c_40292]) ).
tff(c_40415,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40337]) ).
tff(c_40448,plain,
inverse(identity) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_40415,c_39926]) ).
tff(c_40532,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40416,c_40448]) ).
tff(c_28,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_40023,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_39926,c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_39966,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_39926,c_30]) ).
tff(c_39970,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39966,c_4]) ).
tff(c_40093,plain,
! [Z_421] : ( multiply(sk_c11,multiply(sk_c3,Z_421)) = multiply(identity,Z_421) ),
inference(superposition,[status(thm),theory(equality)],[c_39970,c_40060]) ).
tff(c_40183,plain,
! [Z_425] : ( multiply(sk_c11,multiply(sk_c3,Z_425)) = Z_425 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40093]) ).
tff(c_40195,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_40023,c_40183]) ).
tff(c_40328,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_40195,c_40292]) ).
tff(c_40414,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40328]) ).
tff(c_40435,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40414,c_39982]) ).
tff(c_40122,plain,
! [X_2,Z_421] : ( multiply(inverse(X_2),multiply(X_2,Z_421)) = Z_421 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40108]) ).
tff(c_40632,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_40435,c_40122]) ).
tff(c_40644,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40632]) ).
tff(c_40436,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40414,c_39978]) ).
tff(c_40648,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40644,c_40436]) ).
tff(c_40651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40532,c_40648]) ).
tff(c_40653,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_122]) ).
tff(c_108,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_40759,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_40653,c_108]) ).
tff(c_110,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_40673,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_40653,c_110]) ).
tff(c_40677,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40673,c_4]) ).
tff(c_40838,plain,
! [Z_435] : ( multiply(sk_c11,multiply(sk_c3,Z_435)) = multiply(identity,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_40677,c_40799]) ).
tff(c_41203,plain,
! [Z_444] : ( multiply(sk_c11,multiply(sk_c3,Z_444)) = Z_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40838]) ).
tff(c_41215,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_40759,c_41203]) ).
tff(c_116,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_40749,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_40653,c_116]) ).
tff(c_118,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_40704,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_40653,c_118]) ).
tff(c_40708,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40704,c_4]) ).
tff(c_40832,plain,
! [Z_435] : ( multiply(sk_c8,multiply(sk_c5,Z_435)) = multiply(identity,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_40708,c_40799]) ).
tff(c_40863,plain,
! [Z_436] : ( multiply(sk_c8,multiply(sk_c5,Z_436)) = Z_436 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40832]) ).
tff(c_40875,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40749,c_40863]) ).
tff(c_40974,plain,
! [X_441,Z_442] : ( multiply(inverse(X_441),multiply(X_441,Z_442)) = Z_442 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40847]) ).
tff(c_41010,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_40875,c_40974]) ).
tff(c_41081,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41010]) ).
tff(c_40928,plain,
! [Z_439] : ( multiply(sk_c11,multiply(sk_c3,Z_439)) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40838]) ).
tff(c_40940,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_40759,c_40928]) ).
tff(c_40729,plain,
inverse(sk_c11) = sk_c9,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_40880,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X4_13,sk_c11)) != sk_c10 )
| ( multiply(sk_c9,sk_c10) != sk_c11 )
| ( multiply(sk_c11,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40729,c_128]) ).
tff(c_40881,plain,
multiply(sk_c11,sk_c10) != sk_c9,
inference(splitLeft,[status(thm)],[c_40880]) ).
tff(c_40944,plain,
sk_c9 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_40940,c_40881]) ).
tff(c_41104,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_41081,c_40944]) ).
tff(c_40995,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_40940,c_40974]) ).
tff(c_41077,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40995]) ).
tff(c_114,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_40690,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_40653,c_114]) ).
tff(c_112,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_40724,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_40653,c_112]) ).
tff(c_41037,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_40724,c_40974]) ).
tff(c_41085,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_40690,c_41037]) ).
tff(c_41185,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41077,c_2,c_41077,c_41085]) ).
tff(c_41186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41104,c_41185]) ).
tff(c_41188,plain,
multiply(sk_c11,sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_40880]) ).
tff(c_41219,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_41215,c_41188]) ).
tff(c_40734,plain,
multiply(sk_c9,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40729,c_4]) ).
tff(c_41244,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41219,c_40734]) ).
tff(c_41245,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_41219,c_40729]) ).
tff(c_49847,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_41215,c_49796]) ).
tff(c_49920,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41244,c_41245,c_49847]) ).
tff(c_49853,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_40875,c_49796]) ).
tff(c_49922,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49853]) ).
tff(c_41391,plain,
! [X_449,Z_450] : ( multiply(inverse(X_449),multiply(X_449,Z_450)) = Z_450 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40847]) ).
tff(c_41451,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_40875,c_41391]) ).
tff(c_41521,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41451]) ).
tff(c_40694,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40690,c_4]) ).
tff(c_41227,plain,
! [Z_445] : ( multiply(sk_c11,multiply(sk_c10,Z_445)) = multiply(sk_c9,Z_445) ),
inference(superposition,[status(thm),theory(equality)],[c_41188,c_6]) ).
tff(c_41239,plain,
multiply(sk_c9,sk_c4) = multiply(sk_c11,identity),
inference(superposition,[status(thm),theory(equality)],[c_40694,c_41227]) ).
tff(c_41382,plain,
multiply(sk_c11,sk_c4) = multiply(sk_c11,identity),
inference(demodulation,[status(thm),theory(equality)],[c_41219,c_41239]) ).
tff(c_41543,plain,
multiply(identity,sk_c4) = multiply(identity,identity),
inference(demodulation,[status(thm),theory(equality)],[c_41521,c_41521,c_41382]) ).
tff(c_41554,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_41543]) ).
tff(c_41445,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_41215,c_41391]) ).
tff(c_41519,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41445]) ).
tff(c_41538,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41519,c_40690]) ).
tff(c_41648,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41554,c_41538]) ).
tff(c_41966,plain,
! [X_455,Z_456] : ( multiply(inverse(inverse(X_455)),Z_456) = multiply(X_455,Z_456) ),
inference(superposition,[status(thm),theory(equality)],[c_41391,c_40861]) ).
tff(c_41502,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41391]) ).
tff(c_41973,plain,
! [X_455] : ( multiply(X_455,identity) = X_455 ),
inference(superposition,[status(thm),theory(equality)],[c_41966,c_41502]) ).
tff(c_42004,plain,
! [X_455] : ( multiply(X_455,inverse(X_455)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41966]) ).
tff(c_42009,plain,
! [X_457] : ( multiply(X_457,identity) = X_457 ),
inference(superposition,[status(thm),theory(equality)],[c_41966,c_41502]) ).
tff(c_41394,plain,
! [X_449,Z_450] : ( multiply(inverse(inverse(X_449)),Z_450) = multiply(X_449,Z_450) ),
inference(superposition,[status(thm),theory(equality)],[c_41391,c_40861]) ).
tff(c_42016,plain,
! [X_449] : ( inverse(inverse(X_449)) = multiply(X_449,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_42009,c_41394]) ).
tff(c_42061,plain,
! [X_449] : ( inverse(inverse(X_449)) = X_449 ),
inference(demodulation,[status(thm),theory(equality)],[c_41973,c_42016]) ).
tff(c_42169,plain,
! [X_460,Y_461,Z_462] : ( multiply(inverse(multiply(X_460,Y_461)),multiply(X_460,multiply(Y_461,Z_462))) = Z_462 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_41391]) ).
tff(c_42205,plain,
! [X_460,X_455] : ( multiply(inverse(multiply(X_460,X_455)),multiply(X_460,identity)) = inverse(X_455) ),
inference(superposition,[status(thm),theory(equality)],[c_42004,c_42169]) ).
tff(c_42762,plain,
! [X_473,X_474] : ( multiply(inverse(multiply(X_473,X_474)),X_473) = inverse(X_474) ),
inference(demodulation,[status(thm),theory(equality)],[c_41973,c_42205]) ).
tff(c_43386,plain,
! [Z_483,X_484] : ( multiply(inverse(Z_483),inverse(X_484)) = inverse(multiply(X_484,Z_483)) ),
inference(superposition,[status(thm),theory(equality)],[c_40861,c_42762]) ).
tff(c_43470,plain,
! [X_484,X_449] : ( inverse(multiply(X_484,inverse(X_449))) = multiply(X_449,inverse(X_484)) ),
inference(superposition,[status(thm),theory(equality)],[c_42061,c_43386]) ).
tff(c_41187,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( multiply(sk_c9,sk_c10) != sk_c11 )
| ( inverse(X4_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X4_13,sk_c11)) != sk_c10 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_40880]) ).
tff(c_41275,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(X4_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X4_13,sk_c11)) != sk_c10 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c11 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41219,c_41215,c_41219,c_41187]) ).
tff(c_41276,plain,
! [X7_9,X5_6] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_41275]) ).
tff(c_49612,plain,
! [X5_543,X7_544] :
( ( multiply(X5_543,inverse(X7_544)) != inverse(X5_543) )
| ( multiply(X7_544,inverse(X5_543)) != inverse(X7_544) )
| ( inverse(X5_543) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42004,c_41521,c_41973,c_41521,c_41519,c_43470,c_41276]) ).
tff(c_49655,plain,
! [X7_544] :
( ( inverse(identity) != inverse(X7_544) )
| ( multiply(X7_544,inverse(identity)) != inverse(X7_544) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_49612]) ).
tff(c_49674,plain,
! [X7_545] :
( ( inverse(X7_545) != identity )
| ( inverse(X7_545) != X7_545 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41648,c_41973,c_41648,c_41648,c_49655]) ).
tff(c_49682,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_41648,c_49674]) ).
tff(c_49689,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41648,c_49682]) ).
tff(c_49690,plain,
! [X2_11,X1_10,X4_13] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X4_13,sk_c11)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_41275]) ).
tff(c_58387,plain,
! [X2_11,X1_10,X4_13] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X4_13) != identity )
| ( identity != X4_13 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50273,c_49920,c_49922,c_2,c_49922,c_49922,c_50273,c_49920,c_49922,c_49922,c_50273,c_49920,c_49922,c_49920,c_49690]) ).
tff(c_58389,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_58387]) ).
tff(c_49936,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49922,c_49922,c_41245]) ).
tff(c_58391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58389,c_49936]) ).
tff(c_58392,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_58387]) ).
tff(c_58394,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_58392]) ).
tff(c_58396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58394,c_49936]) ).
tff(c_58725,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_58392]) ).
tff(c_58727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58725,c_49936]) ).
tff(c_58728,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_58793,plain,
! [X_648,Y_649,Z_650] : ( multiply(multiply(X_648,Y_649),Z_650) = multiply(X_648,multiply(Y_649,Z_650)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_58823,plain,
! [Z_650] : ( multiply(sk_c8,multiply(sk_c5,Z_650)) = multiply(identity,Z_650) ),
inference(superposition,[status(thm),theory(equality)],[c_40708,c_58793]) ).
tff(c_58853,plain,
! [Z_651] : ( multiply(sk_c8,multiply(sk_c5,Z_651)) = Z_651 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58823]) ).
tff(c_58865,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_58728,c_58853]) ).
tff(c_58838,plain,
! [X_2,Z_650] : ( multiply(inverse(X_2),multiply(X_2,Z_650)) = multiply(identity,Z_650) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_58793]) ).
tff(c_58945,plain,
! [X_655,Z_656] : ( multiply(inverse(X_655),multiply(X_655,Z_656)) = Z_656 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58838]) ).
tff(c_58981,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_58865,c_58945]) ).
tff(c_59046,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_58981]) ).
tff(c_58826,plain,
! [Z_650] : ( multiply(sk_c10,multiply(sk_c4,Z_650)) = multiply(identity,Z_650) ),
inference(superposition,[status(thm),theory(equality)],[c_40694,c_58793]) ).
tff(c_58922,plain,
! [Z_654] : ( multiply(sk_c10,multiply(sk_c4,Z_654)) = Z_654 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58826]) ).
tff(c_58934,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_40724,c_58922]) ).
tff(c_58963,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_58934,c_58945]) ).
tff(c_59042,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_58963]) ).
tff(c_58729,plain,
inverse(sk_c11) != sk_c9,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_59057,plain,
inverse(sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_59042,c_58729]) ).
tff(c_59119,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_59046,c_59057]) ).
tff(c_59076,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_59046,c_40677]) ).
tff(c_58851,plain,
! [X_2,Z_650] : ( multiply(inverse(X_2),multiply(X_2,Z_650)) = Z_650 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58838]) ).
tff(c_59172,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_59076,c_58851]) ).
tff(c_59184,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_59172]) ).
tff(c_59077,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_59046,c_40673]) ).
tff(c_59189,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_59184,c_59077]) ).
tff(c_59193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59119,c_59189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP307-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.19/0.37 % Computer : n020.cluster.edu
% 0.19/0.37 % Model : x86_64 x86_64
% 0.19/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.37 % Memory : 8042.1875MB
% 0.19/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.37 % CPULimit : 300
% 0.19/0.37 % WCLimit : 300
% 0.19/0.37 % DateTime : Thu Aug 3 22:20:22 EDT 2023
% 0.19/0.37 % CPUTime :
% 17.19/6.47 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.19/6.52
% 17.19/6.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.58/6.60
% 17.58/6.60 Inference rules
% 17.58/6.60 ----------------------
% 17.58/6.60 #Ref : 0
% 17.58/6.60 #Sup : 14566
% 17.58/6.60 #Fact : 0
% 17.58/6.60 #Define : 0
% 17.58/6.60 #Split : 35
% 17.58/6.60 #Chain : 0
% 17.58/6.60 #Close : 0
% 17.58/6.60
% 17.58/6.60 Ordering : KBO
% 17.58/6.60
% 17.58/6.60 Simplification rules
% 17.58/6.60 ----------------------
% 17.58/6.60 #Subsume : 23
% 17.58/6.60 #Demod : 38691
% 17.58/6.60 #Tautology : 11814
% 17.58/6.60 #SimpNegUnit : 214
% 17.58/6.60 #BackRed : 692
% 17.58/6.60
% 17.58/6.60 #Partial instantiations: 0
% 17.58/6.60 #Strategies tried : 1
% 17.58/6.60
% 17.58/6.60 Timing (in seconds)
% 17.58/6.60 ----------------------
% 17.58/6.60 Preprocessing : 0.58
% 17.58/6.60 Parsing : 0.20
% 17.58/6.60 CNF conversion : 0.03
% 17.58/6.60 Main loop : 4.85
% 17.58/6.60 Inferencing : 1.37
% 17.58/6.60 Reduction : 2.61
% 17.58/6.60 Demodulation : 2.35
% 17.58/6.60 BG Simplification : 0.13
% 17.58/6.60 Subsumption : 0.49
% 17.58/6.60 Abstraction : 0.29
% 17.58/6.60 MUC search : 0.00
% 17.58/6.60 Cooper : 0.00
% 17.58/6.60 Total : 5.57
% 17.58/6.60 Index Insertion : 0.00
% 17.58/6.60 Index Deletion : 0.00
% 17.58/6.60 Index Matching : 0.00
% 17.58/6.60 BG Taut test : 0.00
%------------------------------------------------------------------------------