TSTP Solution File: GRP273-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP273-1 : 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 : n009.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 10:40:44 EDT 2023
% Result : Unsatisfiable 21.11s 10.05s
% Output : CNFRefutation 21.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 54
% Syntax : Number of formulae : 622 ( 479 unt; 14 typ; 0 def)
% Number of atoms : 893 ( 868 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 591 ( 306 ~; 285 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 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 : 330 (; 330 !; 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_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_257,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( multiply(X3,sk_c11) != sk_c10 )
| ( inverse(X3) != sk_c11 )
| ( multiply(sk_c11,sk_c9) != sk_c10 )
| ( multiply(X4,sk_c9) != sk_c11 )
| ( inverse(X4) != sk_c9 )
| ( 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_134,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_212,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_62137,plain,
! [X_610,Y_611,Z_612] : ( multiply(multiply(X_610,Y_611),Z_612) = multiply(X_610,multiply(Y_611,Z_612)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_62185,plain,
! [X_2,Z_612] : ( multiply(inverse(X_2),multiply(X_2,Z_612)) = multiply(identity,Z_612) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_62137]) ).
tff(c_62199,plain,
! [X_2,Z_612] : ( multiply(inverse(X_2),multiply(X_2,Z_612)) = Z_612 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62185]) ).
tff(c_101381,plain,
! [X_876,Z_877] : ( multiply(inverse(X_876),multiply(X_876,Z_877)) = Z_877 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62185]) ).
tff(c_101830,plain,
! [X_881,Z_882] : ( multiply(inverse(inverse(X_881)),Z_882) = multiply(X_881,Z_882) ),
inference(superposition,[status(thm),theory(equality)],[c_62199,c_101381]) ).
tff(c_101444,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_101381]) ).
tff(c_101837,plain,
! [X_881] : ( multiply(X_881,identity) = X_881 ),
inference(superposition,[status(thm),theory(equality)],[c_101830,c_101444]) ).
tff(c_46765,plain,
! [X_432,Y_433,Z_434] : ( multiply(multiply(X_432,Y_433),Z_434) = multiply(X_432,multiply(Y_433,Z_434)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_46813,plain,
! [X_2,Z_434] : ( multiply(inverse(X_2),multiply(X_2,Z_434)) = multiply(identity,Z_434) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_46765]) ).
tff(c_49486,plain,
! [X_488,Z_489] : ( multiply(inverse(X_488),multiply(X_488,Z_489)) = Z_489 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46813]) ).
tff(c_46827,plain,
! [X_2,Z_434] : ( multiply(inverse(X_2),multiply(X_2,Z_434)) = Z_434 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46813]) ).
tff(c_49927,plain,
! [X_493,Z_494] : ( multiply(inverse(inverse(X_493)),Z_494) = multiply(X_493,Z_494) ),
inference(superposition,[status(thm),theory(equality)],[c_49486,c_46827]) ).
tff(c_49576,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_49486]) ).
tff(c_49934,plain,
! [X_493] : ( multiply(X_493,identity) = X_493 ),
inference(superposition,[status(thm),theory(equality)],[c_49927,c_49576]) ).
tff(c_74,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_162,plain,
multiply(sk_c2,sk_c9) = sk_c11,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_102,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_125,plain,
inverse(sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_129,plain,
multiply(sk_c9,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_125,c_4]) ).
tff(c_44632,plain,
! [X_393,Y_394,Z_395] : ( multiply(multiply(X_393,Y_394),Z_395) = multiply(X_393,multiply(Y_394,Z_395)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_44683,plain,
! [Z_395] : ( multiply(sk_c9,multiply(sk_c2,Z_395)) = multiply(identity,Z_395) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_44632]) ).
tff(c_44716,plain,
! [Z_397] : ( multiply(sk_c9,multiply(sk_c2,Z_397)) = Z_397 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44683]) ).
tff(c_44728,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_162,c_44716]) ).
tff(c_44686,plain,
! [X_2,Z_395] : ( multiply(inverse(X_2),multiply(X_2,Z_395)) = multiply(identity,Z_395) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_44632]) ).
tff(c_44866,plain,
! [X_402,Z_403] : ( multiply(inverse(X_402),multiply(X_402,Z_403)) = Z_403 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44686]) ).
tff(c_44914,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_44728,c_44866]) ).
tff(c_44999,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44914]) ).
tff(c_24,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_167,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_42,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_137,plain,
inverse(sk_c1) = sk_c11,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_141,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_137,c_4]) ).
tff(c_42183,plain,
! [X_347,Y_348,Z_349] : ( multiply(multiply(X_347,Y_348),Z_349) = multiply(X_347,multiply(Y_348,Z_349)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_42234,plain,
! [Z_349] : ( multiply(sk_c11,multiply(sk_c1,Z_349)) = multiply(identity,Z_349) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_42183]) ).
tff(c_42257,plain,
! [Z_350] : ( multiply(sk_c11,multiply(sk_c1,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42234]) ).
tff(c_42269,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_167,c_42257]) ).
tff(c_42240,plain,
! [X_2,Z_349] : ( multiply(inverse(X_2),multiply(X_2,Z_349)) = multiply(identity,Z_349) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_42183]) ).
tff(c_42327,plain,
! [X_353,Z_354] : ( multiply(inverse(X_353),multiply(X_353,Z_354)) = Z_354 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42240]) ).
tff(c_42357,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_42269,c_42327]) ).
tff(c_42437,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42357]) ).
tff(c_42237,plain,
! [Z_349] : ( multiply(sk_c9,multiply(sk_c2,Z_349)) = multiply(identity,Z_349) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_42183]) ).
tff(c_42280,plain,
! [Z_351] : ( multiply(sk_c9,multiply(sk_c2,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42237]) ).
tff(c_42292,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_162,c_42280]) ).
tff(c_42351,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_42292,c_42327]) ).
tff(c_42436,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42351]) ).
tff(c_209,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_239,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_209]) ).
tff(c_297,plain,
! [X_21,Z_22] : ( multiply(inverse(X_21),multiply(X_21,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).
tff(c_249,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_239]) ).
tff(c_21524,plain,
! [X_189,Z_190] : ( multiply(inverse(inverse(X_189)),Z_190) = multiply(X_189,Z_190) ),
inference(superposition,[status(thm),theory(equality)],[c_297,c_249]) ).
tff(c_351,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_297]) ).
tff(c_21535,plain,
! [X_189] : ( multiply(X_189,identity) = X_189 ),
inference(superposition,[status(thm),theory(equality)],[c_21524,c_351]) ).
tff(c_233,plain,
! [Z_18] : ( multiply(sk_c11,multiply(sk_c1,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_209]) ).
tff(c_251,plain,
! [Z_19] : ( multiply(sk_c11,multiply(sk_c1,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_233]) ).
tff(c_263,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_167,c_251]) ).
tff(c_321,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_263,c_297]) ).
tff(c_359,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_321]) ).
tff(c_236,plain,
! [Z_18] : ( multiply(sk_c9,multiply(sk_c2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_209]) ).
tff(c_274,plain,
! [Z_20] : ( multiply(sk_c9,multiply(sk_c2,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_236]) ).
tff(c_286,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_162,c_274]) ).
tff(c_315,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_286,c_297]) ).
tff(c_358,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_315]) ).
tff(c_58,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_175,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_469,plain,
multiply(identity,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_175]) ).
tff(c_21380,plain,
multiply(identity,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_469]) ).
tff(c_21390,plain,
sk_c9 = identity,
inference(superposition,[status(thm),theory(equality)],[c_21380,c_2]) ).
tff(c_473,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_137]) ).
tff(c_488,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_473,c_4]) ).
tff(c_495,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_488,c_249]) ).
tff(c_507,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_495]) ).
tff(c_511,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_507,c_473]) ).
tff(c_718,plain,
! [X_26,Z_27] : ( multiply(inverse(inverse(X_26)),Z_27) = multiply(X_26,Z_27) ),
inference(superposition,[status(thm),theory(equality)],[c_297,c_249]) ).
tff(c_729,plain,
! [X_26] : ( multiply(X_26,identity) = X_26 ),
inference(superposition,[status(thm),theory(equality)],[c_718,c_351]) ).
tff(c_763,plain,
! [X_26] : ( multiply(X_26,inverse(X_26)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_718]) ).
tff(c_771,plain,
! [X_28] : ( multiply(X_28,identity) = X_28 ),
inference(superposition,[status(thm),theory(equality)],[c_718,c_351]) ).
tff(c_817,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_351,c_771]) ).
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_923,plain,
! [X_31,Y_32,Z_33] : ( multiply(inverse(multiply(X_31,Y_32)),multiply(X_31,multiply(Y_32,Z_33))) = Z_33 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_297]) ).
tff(c_959,plain,
! [X_31,X_26] : ( multiply(inverse(multiply(X_31,X_26)),multiply(X_31,identity)) = inverse(X_26) ),
inference(superposition,[status(thm),theory(equality)],[c_763,c_923]) ).
tff(c_1012,plain,
! [X_31,X_26] : ( multiply(inverse(multiply(X_31,X_26)),X_31) = inverse(X_26) ),
inference(demodulation,[status(thm),theory(equality)],[c_729,c_959]) ).
tff(c_1371,plain,
! [X_42,X_43] : ( multiply(inverse(multiply(X_42,X_43)),X_42) = inverse(X_43) ),
inference(demodulation,[status(thm),theory(equality)],[c_729,c_959]) ).
tff(c_1418,plain,
! [X_26,X_31] : ( multiply(inverse(inverse(X_26)),inverse(multiply(X_31,X_26))) = inverse(X_31) ),
inference(superposition,[status(thm),theory(equality)],[c_1012,c_1371]) ).
tff(c_1749,plain,
! [X_48,X_49] : ( multiply(X_48,inverse(multiply(X_49,X_48))) = inverse(X_49) ),
inference(demodulation,[status(thm),theory(equality)],[c_817,c_1418]) ).
tff(c_736,plain,
! [X_26,Z_18] : ( multiply(X_26,multiply(inverse(X_26),Z_18)) = Z_18 ),
inference(superposition,[status(thm),theory(equality)],[c_718,c_249]) ).
tff(c_1779,plain,
! [X_49,X_26] : ( inverse(multiply(X_49,inverse(X_26))) = multiply(X_26,inverse(X_49)) ),
inference(superposition,[status(thm),theory(equality)],[c_1749,c_736]) ).
tff(c_374,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_137]) ).
tff(c_389,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_374,c_4]) ).
tff(c_396,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_389,c_249]) ).
tff(c_408,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_396]) ).
tff(c_412,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_408,c_374]) ).
tff(c_108,plain,
! [X5_6,X4_13,X3_8,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_c9 )
| ( multiply(X4_13,sk_c9) != sk_c11 )
| ( multiply(sk_c11,sk_c9) != sk_c10 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_365,plain,
! [X5_6,X4_13,X3_8,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_c9 )
| ( multiply(X4_13,sk_c9) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175,c_108]) ).
tff(c_366,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_365]) ).
tff(c_448,plain,
! [X3_23] :
( ( inverse(X3_23) != identity )
| ( multiply(X3_23,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_359,c_358,c_358,c_366]) ).
tff(c_456,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_448]) ).
tff(c_464,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_412,c_412,c_456]) ).
tff(c_465,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(X4_13) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c11 )
| ( 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_365]) ).
tff(c_546,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(X4_13) != sk_c9 )
| ( multiply(X4_13,sk_c9) != identity )
| ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != 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),identity) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358,c_359,c_358,c_359,c_359,c_359,c_358,c_358,c_358,c_465]) ).
tff(c_547,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),identity) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(splitLeft,[status(thm)],[c_546]) ).
tff(c_21258,plain,
! [X5_184,X7_185] :
( ( multiply(X5_184,inverse(X7_185)) != inverse(X5_184) )
| ( multiply(X7_185,inverse(X5_184)) != inverse(X7_185) )
| ( inverse(X5_184) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_763,c_729,c_1779,c_547]) ).
tff(c_21319,plain,
! [X7_185] :
( ( inverse(identity) != inverse(X7_185) )
| ( multiply(X7_185,inverse(identity)) != inverse(X7_185) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_21258]) ).
tff(c_21345,plain,
! [X7_186] :
( ( inverse(X7_186) != identity )
| ( inverse(X7_186) != X7_186 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_511,c_729,c_511,c_511,c_21319]) ).
tff(c_21357,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_511,c_21345]) ).
tff(c_21366,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_511,c_21357]) ).
tff(c_21367,plain,
! [X2_11,X1_10,X4_13] :
( ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != sk_c9 )
| ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != identity )
| ( inverse(X4_13) != sk_c9 )
| ( multiply(X4_13,sk_c9) != identity ) ),
inference(splitRight,[status(thm)],[c_546]) ).
tff(c_42062,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_21535,c_21390,c_21390,c_21535,c_21535,c_21390,c_21367]) ).
tff(c_42064,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_42062]) ).
tff(c_42066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42064,c_511]) ).
tff(c_42067,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_42062]) ).
tff(c_42069,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_42067]) ).
tff(c_42071,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42069,c_511]) ).
tff(c_42074,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_42067]) ).
tff(c_42076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42074,c_511]) ).
tff(c_42078,plain,
multiply(sk_c11,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_42456,plain,
multiply(identity,sk_c9) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_42436,c_42078]) ).
tff(c_42461,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42456]) ).
tff(c_42473,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_42437,c_42461]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_42105,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_42078,c_54]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_42157,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_42078,c_52]) ).
tff(c_42375,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_42157,c_42327]) ).
tff(c_42440,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_42105,c_42375]) ).
tff(c_42613,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42437,c_2,c_42437,c_42440]) ).
tff(c_42614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42473,c_42613]) ).
tff(c_42616,plain,
multiply(sk_c1,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_42669,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_42616,c_14]) ).
tff(c_42673,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42669,c_4]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_42630,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_20,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_42694,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_42616,c_20]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_42707,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_42616,c_12]) ).
tff(c_42729,plain,
! [X_357,Y_358,Z_359] : ( multiply(multiply(X_357,Y_358),Z_359) = multiply(X_357,multiply(Y_358,Z_359)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_42762,plain,
! [Z_359] : ( multiply(sk_c10,multiply(sk_c4,Z_359)) = multiply(identity,Z_359) ),
inference(superposition,[status(thm),theory(equality)],[c_42673,c_42729]) ).
tff(c_43077,plain,
! [Z_370] : ( multiply(sk_c10,multiply(sk_c4,Z_370)) = Z_370 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42762]) ).
tff(c_43089,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_42707,c_43077]) ).
tff(c_44361,plain,
! [Z_391] : ( multiply(sk_c8,multiply(sk_c10,Z_391)) = multiply(sk_c11,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_42694,c_42729]) ).
tff(c_44382,plain,
multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_43089,c_44361]) ).
tff(c_44393,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_42630,c_42694,c_44382]) ).
tff(c_22,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_42637,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_42616,c_22]) ).
tff(c_42641,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42637,c_4]) ).
tff(c_42615,plain,
inverse(sk_c6) = sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_42621,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42615,c_4]) ).
tff(c_42774,plain,
! [Z_359] : ( multiply(sk_c8,multiply(sk_c6,Z_359)) = multiply(identity,Z_359) ),
inference(superposition,[status(thm),theory(equality)],[c_42621,c_42729]) ).
tff(c_42839,plain,
! [Z_362] : ( multiply(sk_c8,multiply(sk_c6,Z_362)) = Z_362 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42774]) ).
tff(c_42851,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_42641,c_42839]) ).
tff(c_44388,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_42673,c_44361]) ).
tff(c_44395,plain,
multiply(sk_c11,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_42851,c_44388]) ).
tff(c_44441,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42673,c_44393,c_44395]) ).
tff(c_44450,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44441,c_42637]) ).
tff(c_42786,plain,
! [X_2,Z_359] : ( multiply(inverse(X_2),multiply(X_2,Z_359)) = multiply(identity,Z_359) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_42729]) ).
tff(c_43456,plain,
! [X_378,Z_379] : ( multiply(inverse(X_378),multiply(X_378,Z_379)) = Z_379 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42786]) ).
tff(c_43489,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_43089,c_43456]) ).
tff(c_43543,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_43489]) ).
tff(c_43554,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43543,c_125]) ).
tff(c_43565,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43554,c_4]) ).
tff(c_42801,plain,
! [X_2,Z_359] : ( multiply(inverse(X_2),multiply(X_2,Z_359)) = Z_359 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42786]) ).
tff(c_43585,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_43565,c_42801]) ).
tff(c_43597,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_43585]) ).
tff(c_43601,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43597,c_43554]) ).
tff(c_43354,plain,
! [Z_377] : ( multiply(sk_c8,multiply(sk_c10,Z_377)) = multiply(sk_c11,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_42694,c_42729]) ).
tff(c_43375,plain,
multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_43089,c_43354]) ).
tff(c_43386,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_42630,c_42694,c_43375]) ).
tff(c_43381,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_42673,c_43354]) ).
tff(c_43388,plain,
multiply(sk_c11,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_42851,c_43381]) ).
tff(c_43432,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42673,c_43386,c_43388]) ).
tff(c_43441,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43432,c_42637]) ).
tff(c_43655,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43601,c_43441]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_42718,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_42616,c_16]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_42682,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_42616,c_18]) ).
tff(c_42686,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42682,c_4]) ).
tff(c_42759,plain,
! [Z_359] : ( multiply(sk_c8,multiply(sk_c5,Z_359)) = multiply(identity,Z_359) ),
inference(superposition,[status(thm),theory(equality)],[c_42686,c_42729]) ).
tff(c_43010,plain,
! [Z_368] : ( multiply(sk_c8,multiply(sk_c5,Z_368)) = Z_368 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42759]) ).
tff(c_43022,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_42718,c_43010]) ).
tff(c_42768,plain,
! [Z_359] : ( multiply(sk_c6,multiply(sk_c7,Z_359)) = multiply(identity,Z_359) ),
inference(superposition,[status(thm),theory(equality)],[c_42641,c_42729]) ).
tff(c_43124,plain,
! [Z_372] : ( multiply(sk_c6,multiply(sk_c7,Z_372)) = Z_372 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42768]) ).
tff(c_42798,plain,
! [Z_359] : ( multiply(sk_c8,multiply(sk_c6,Z_359)) = Z_359 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42774]) ).
tff(c_43214,plain,
! [Z_374] : ( multiply(sk_c8,Z_374) = multiply(sk_c7,Z_374) ),
inference(superposition,[status(thm),theory(equality)],[c_43124,c_42798]) ).
tff(c_43253,plain,
multiply(sk_c7,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43022,c_43214]) ).
tff(c_43569,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43432,c_43386,c_43253]) ).
tff(c_43577,plain,
inverse(sk_c6) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_43569,c_42615]) ).
tff(c_43668,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_43655,c_43577]) ).
tff(c_43669,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43601,c_43668]) ).
tff(c_42753,plain,
! [Z_359] : ( multiply(sk_c4,multiply(sk_c10,Z_359)) = multiply(sk_c9,Z_359) ),
inference(superposition,[status(thm),theory(equality)],[c_42707,c_42729]) ).
tff(c_43727,plain,
! [Z_359] : ( multiply(sk_c4,Z_359) = Z_359 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43669,c_2,c_43543,c_42753]) ).
tff(c_43682,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43669,c_42669]) ).
tff(c_43676,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43669,c_43569]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_42656,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_42616,c_10]) ).
tff(c_8,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_42712,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_42616,c_8]) ).
tff(c_42856,plain,
! [X5_6,X4_13,X3_8,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_c9 )
| ( multiply(X4_13,sk_c9) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42630,c_108]) ).
tff(c_42972,plain,
! [X3_367] :
( ( inverse(X3_367) != sk_c11 )
| ( multiply(X3_367,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_42856]) ).
tff(c_42988,plain,
inverse(sk_c3) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_42712,c_42972]) ).
tff(c_43000,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42656,c_42988]) ).
tff(c_43001,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(X4_13) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c11 )
| ( 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_42856]) ).
tff(c_43277,plain,
! [X7_375,X5_376] :
( ( inverse(multiply(X7_375,inverse(X5_376))) != inverse(X5_376) )
| ( multiply(X7_375,inverse(X5_376)) != inverse(X7_375) )
| ( multiply(inverse(X5_376),sk_c10) != sk_c11 )
| ( multiply(X5_376,inverse(X5_376)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_43001]) ).
tff(c_43285,plain,
! [X7_375] :
( ( inverse(multiply(X7_375,sk_c8)) != inverse(sk_c5) )
| ( multiply(X7_375,inverse(sk_c5)) != inverse(X7_375) )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_42682,c_43277]) ).
tff(c_43307,plain,
! [X7_375] :
( ( inverse(multiply(X7_375,sk_c8)) != sk_c8 )
| ( multiply(X7_375,sk_c8) != inverse(X7_375) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42718,c_42682,c_42694,c_42682,c_42682,c_42682,c_43285]) ).
tff(c_43802,plain,
! [X7_382] :
( ( inverse(multiply(X7_382,identity)) != identity )
| ( multiply(X7_382,identity) != inverse(X7_382) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43676,c_43676,c_43676,c_43307]) ).
tff(c_43806,plain,
( ( inverse(identity) != identity )
| ( multiply(sk_c4,identity) != inverse(sk_c4) ) ),
inference(superposition,[status(thm),theory(equality)],[c_43727,c_43802]) ).
tff(c_43821,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43727,c_43682,c_43601,c_43806]) ).
tff(c_43822,plain,
! [X2_11,X1_10,X4_13] :
( ( 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_c9 )
| ( multiply(X4_13,sk_c9) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_43001]) ).
tff(c_44080,plain,
! [X4_387] :
( ( inverse(X4_387) != sk_c9 )
| ( multiply(X4_387,sk_c9) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_43822]) ).
tff(c_44097,plain,
inverse(sk_c2) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_162,c_44080]) ).
tff(c_44109,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_44097]) ).
tff(c_44110,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_43822]) ).
tff(c_44326,plain,
! [X2_390] :
( ( inverse(X2_390) != sk_c10 )
| ( multiply(X2_390,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_44110]) ).
tff(c_44333,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_42707,c_44326]) ).
tff(c_44345,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42669,c_44333]) ).
tff(c_44346,plain,
! [X1_10] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_44110]) ).
tff(c_44466,plain,
! [X1_392] :
( ( inverse(X1_392) != sk_c10 )
| ( multiply(X1_392,sk_c10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44393,c_44393,c_44346]) ).
tff(c_44481,plain,
inverse(identity) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_2,c_44466]) ).
tff(c_44485,plain,
sk_c6 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_44450,c_44481]) ).
tff(c_44461,plain,
multiply(sk_c6,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44450,c_4]) ).
tff(c_43830,plain,
! [Z_383] : ( multiply(sk_c6,multiply(sk_c7,Z_383)) = Z_383 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42768]) ).
tff(c_43920,plain,
! [Z_385] : ( multiply(sk_c8,Z_385) = multiply(sk_c7,Z_385) ),
inference(superposition,[status(thm),theory(equality)],[c_43830,c_42798]) ).
tff(c_43974,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42686,c_43920]) ).
tff(c_42797,plain,
! [Z_359] : ( multiply(sk_c6,multiply(sk_c7,Z_359)) = Z_359 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42768]) ).
tff(c_44137,plain,
multiply(sk_c6,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_43974,c_42797]) ).
tff(c_44487,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44461,c_44137]) ).
tff(c_44501,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_44487,c_42682]) ).
tff(c_44503,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44450,c_44501]) ).
tff(c_44412,plain,
multiply(sk_c5,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_44393,c_42718]) ).
tff(c_44524,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_44503,c_2,c_44487,c_44412]) ).
tff(c_44525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44485,c_44524]) ).
tff(c_44526,plain,
inverse(sk_c3) = sk_c11,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_44618,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_42616,c_8]) ).
tff(c_44926,plain,
multiply(inverse(sk_c3),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_44618,c_44866]) ).
tff(c_45000,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_44526,c_44926]) ).
tff(c_45146,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44999,c_2,c_44999,c_45000]) ).
tff(c_44527,plain,
multiply(sk_c11,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_45021,plain,
multiply(identity,sk_c9) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_44999,c_44527]) ).
tff(c_45031,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45021]) ).
tff(c_45147,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_45146,c_45031]) ).
tff(c_44556,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_44527,c_54]) ).
tff(c_44603,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_42616,c_12]) ).
tff(c_44932,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_44603,c_44866]) ).
tff(c_45002,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_44556,c_44932]) ).
tff(c_45226,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45146,c_2,c_45146,c_45002]) ).
tff(c_45227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45147,c_45226]) ).
tff(c_45229,plain,
multiply(sk_c2,sk_c9) != sk_c11,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_72,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_45319,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_45229,c_72]) ).
tff(c_45228,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_45233,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_45228,c_4]) ).
tff(c_45347,plain,
! [X_407,Y_408,Z_409] : ( multiply(multiply(X_407,Y_408),Z_409) = multiply(X_407,multiply(Y_408,Z_409)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_45392,plain,
! [Z_409] : ( multiply(sk_c10,multiply(sk_c4,Z_409)) = multiply(identity,Z_409) ),
inference(superposition,[status(thm),theory(equality)],[c_45233,c_45347]) ).
tff(c_45641,plain,
! [Z_416] : ( multiply(sk_c10,multiply(sk_c4,Z_416)) = Z_416 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45392]) ).
tff(c_45653,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_45319,c_45641]) ).
tff(c_45404,plain,
! [X_2,Z_409] : ( multiply(inverse(X_2),multiply(X_2,Z_409)) = multiply(identity,Z_409) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_45347]) ).
tff(c_45984,plain,
! [X_425,Z_426] : ( multiply(inverse(X_425),multiply(X_425,Z_426)) = Z_426 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45404]) ).
tff(c_46050,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_45653,c_45984]) ).
tff(c_46153,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46050]) ).
tff(c_46176,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46153,c_125]) ).
tff(c_46277,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46176,c_4]) ).
tff(c_45419,plain,
! [X_2,Z_409] : ( multiply(inverse(X_2),multiply(X_2,Z_409)) = Z_409 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45404]) ).
tff(c_46428,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_46277,c_45419]) ).
tff(c_46440,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46428]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c2,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_45324,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_45229,c_76]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_45282,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_45229,c_78]) ).
tff(c_45286,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_45282,c_4]) ).
tff(c_45380,plain,
! [Z_409] : ( multiply(sk_c8,multiply(sk_c5,Z_409)) = multiply(identity,Z_409) ),
inference(superposition,[status(thm),theory(equality)],[c_45286,c_45347]) ).
tff(c_45457,plain,
! [Z_412] : ( multiply(sk_c8,multiply(sk_c5,Z_412)) = Z_412 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45380]) ).
tff(c_45469,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_45324,c_45457]) ).
tff(c_46056,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_45469,c_45984]) ).
tff(c_46154,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46056]) ).
tff(c_46174,plain,
multiply(sk_c2,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_46153,c_45229]) ).
tff(c_46639,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46440,c_46154,c_46174]) ).
tff(c_46641,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_28,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_46718,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_46641,c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_46668,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_46641,c_30]) ).
tff(c_46672,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46668,c_4]) ).
tff(c_46801,plain,
! [Z_434] : ( multiply(sk_c11,multiply(sk_c3,Z_434)) = multiply(identity,Z_434) ),
inference(superposition,[status(thm),theory(equality)],[c_46672,c_46765]) ).
tff(c_48293,plain,
! [Z_465] : ( multiply(sk_c11,multiply(sk_c3,Z_465)) = Z_465 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46801]) ).
tff(c_48311,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_46718,c_48293]) ).
tff(c_46789,plain,
! [Z_434] : ( multiply(sk_c3,multiply(sk_c11,Z_434)) = multiply(sk_c10,Z_434) ),
inference(superposition,[status(thm),theory(equality)],[c_46718,c_46765]) ).
tff(c_48318,plain,
multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_48311,c_46789]) ).
tff(c_48324,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46718,c_48318]) ).
tff(c_49528,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_48324,c_49486]) ).
tff(c_49589,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49528]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_46726,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_46641,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_46655,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_46641,c_34]) ).
tff(c_46659,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46655,c_4]) ).
tff(c_46804,plain,
! [Z_434] : ( multiply(sk_c10,multiply(sk_c4,Z_434)) = multiply(identity,Z_434) ),
inference(superposition,[status(thm),theory(equality)],[c_46659,c_46765]) ).
tff(c_48490,plain,
! [Z_469] : ( multiply(sk_c10,multiply(sk_c4,Z_469)) = Z_469 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46804]) ).
tff(c_48502,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_46726,c_48490]) ).
tff(c_49519,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_48502,c_49486]) ).
tff(c_49587,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49519]) ).
tff(c_48656,plain,
! [X_471,Z_472] : ( multiply(inverse(X_471),multiply(X_471,Z_472)) = Z_472 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46813]) ).
tff(c_49056,plain,
! [X_478,Z_479] : ( multiply(inverse(inverse(X_478)),Z_479) = multiply(X_478,Z_479) ),
inference(superposition,[status(thm),theory(equality)],[c_48656,c_46827]) ).
tff(c_48728,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_48656]) ).
tff(c_49063,plain,
! [X_478] : ( multiply(X_478,identity) = X_478 ),
inference(superposition,[status(thm),theory(equality)],[c_49056,c_48728]) ).
tff(c_48704,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_48324,c_48656]) ).
tff(c_48741,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48704]) ).
tff(c_48695,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_48502,c_48656]) ).
tff(c_48739,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48695]) ).
tff(c_40,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_46706,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_46641,c_40]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_46731,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_46641,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_46689,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_46641,c_38]) ).
tff(c_46693,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46689,c_4]) ).
tff(c_46795,plain,
! [Z_434] : ( multiply(sk_c8,multiply(sk_c5,Z_434)) = multiply(identity,Z_434) ),
inference(superposition,[status(thm),theory(equality)],[c_46693,c_46765]) ).
tff(c_46829,plain,
! [Z_435] : ( multiply(sk_c8,multiply(sk_c5,Z_435)) = Z_435 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46795]) ).
tff(c_46841,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_46731,c_46829]) ).
tff(c_46954,plain,
! [X_440,Z_441] : ( multiply(inverse(X_440),multiply(X_440,Z_441)) = Z_441 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46813]) ).
tff(c_46996,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_46841,c_46954]) ).
tff(c_47066,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46996]) ).
tff(c_47014,plain,
multiply(inverse(sk_c3),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_46718,c_46954]) ).
tff(c_47070,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_46668,c_47014]) ).
tff(c_47223,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47066,c_2,c_47066,c_47070]) ).
tff(c_46914,plain,
! [Z_439] : ( multiply(sk_c10,multiply(sk_c4,Z_439)) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46804]) ).
tff(c_46932,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_46726,c_46914]) ).
tff(c_46975,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_46932,c_46954]) ).
tff(c_47064,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46975]) ).
tff(c_46852,plain,
multiply(sk_c11,sk_c9) != sk_c10,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_47081,plain,
multiply(sk_c11,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_47064,c_46852]) ).
tff(c_47487,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47223,c_2,c_47066,c_47081]) ).
tff(c_47489,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_48514,plain,
! [Z_470] : ( multiply(sk_c8,multiply(sk_c10,Z_470)) = multiply(sk_c11,Z_470) ),
inference(superposition,[status(thm),theory(equality)],[c_46706,c_46765]) ).
tff(c_48526,plain,
multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_48502,c_48514]) ).
tff(c_48539,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46706,c_47489,c_48526]) ).
tff(c_48356,plain,
! [Z_466] : ( multiply(sk_c10,multiply(sk_c4,Z_466)) = Z_466 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46804]) ).
tff(c_48368,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_46726,c_48356]) ).
tff(c_48380,plain,
! [Z_467] : ( multiply(sk_c8,multiply(sk_c10,Z_467)) = multiply(sk_c11,Z_467) ),
inference(superposition,[status(thm),theory(equality)],[c_46706,c_46765]) ).
tff(c_48392,plain,
multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_48368,c_48380]) ).
tff(c_48405,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46706,c_47489,c_48392]) ).
tff(c_48418,plain,
inverse(sk_c3) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_48405,c_46668]) ).
tff(c_48267,plain,
! [Z_464] : ( multiply(sk_c3,multiply(sk_c11,Z_464)) = multiply(sk_c10,Z_464) ),
inference(superposition,[status(thm),theory(equality)],[c_46718,c_46765]) ).
tff(c_48279,plain,
multiply(sk_c3,sk_c10) = multiply(sk_c10,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_47489,c_48267]) ).
tff(c_48372,plain,
multiply(sk_c3,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_48368,c_48279]) ).
tff(c_47590,plain,
! [Z_451] : ( multiply(sk_c11,multiply(sk_c3,Z_451)) = Z_451 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46801]) ).
tff(c_47608,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_46718,c_47590]) ).
tff(c_47615,plain,
multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_47608,c_46789]) ).
tff(c_47621,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46718,c_47615]) ).
tff(c_47781,plain,
! [X_456,Z_457] : ( multiply(inverse(X_456),multiply(X_456,Z_457)) = Z_457 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46813]) ).
tff(c_47814,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_47621,c_47781]) ).
tff(c_47887,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_47814]) ).
tff(c_47686,plain,
! [Z_454] : ( multiply(sk_c10,multiply(sk_c4,Z_454)) = Z_454 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46804]) ).
tff(c_47698,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_46726,c_47686]) ).
tff(c_47564,plain,
! [Z_450] : ( multiply(sk_c3,multiply(sk_c11,Z_450)) = multiply(sk_c10,Z_450) ),
inference(superposition,[status(thm),theory(equality)],[c_46718,c_46765]) ).
tff(c_47576,plain,
multiply(sk_c3,sk_c10) = multiply(sk_c10,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_47489,c_47564]) ).
tff(c_47702,plain,
multiply(sk_c3,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_47698,c_47576]) ).
tff(c_46823,plain,
! [Z_434] : ( multiply(sk_c11,multiply(sk_c3,Z_434)) = Z_434 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46801]) ).
tff(c_47735,plain,
multiply(sk_c11,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_47702,c_46823]) ).
tff(c_47742,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_47735,c_47608]) ).
tff(c_47765,plain,
inverse(sk_c3) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_47742,c_46668]) ).
tff(c_47777,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47765,c_4]) ).
tff(c_47926,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47887,c_47777]) ).
tff(c_47908,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47887,c_47765]) ).
tff(c_47951,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47926,c_47908]) ).
tff(c_46640,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_46645,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46640,c_4]) ).
tff(c_44,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_46681,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_46641,c_44]) ).
tff(c_46685,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46681,c_4]) ).
tff(c_46798,plain,
! [Z_434] : ( multiply(sk_c8,multiply(sk_c6,Z_434)) = multiply(identity,Z_434) ),
inference(superposition,[status(thm),theory(equality)],[c_46685,c_46765]) ).
tff(c_47510,plain,
! [Z_448] : ( multiply(sk_c8,multiply(sk_c6,Z_448)) = Z_448 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46798]) ).
tff(c_47522,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_46645,c_47510]) ).
tff(c_47760,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_47742,c_46841]) ).
tff(c_47964,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47522,c_47887,c_47760]) ).
tff(c_47909,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47887,c_47742]) ).
tff(c_46792,plain,
! [Z_434] : ( multiply(sk_c8,multiply(sk_c10,Z_434)) = multiply(sk_c11,Z_434) ),
inference(superposition,[status(thm),theory(equality)],[c_46706,c_46765]) ).
tff(c_48059,plain,
! [Z_434] : ( multiply(sk_c7,Z_434) = Z_434 ),
inference(demodulation,[status(thm),theory(equality)],[c_47964,c_2,c_47909,c_2,c_47887,c_46792]) ).
tff(c_46807,plain,
! [Z_434] : ( multiply(sk_c6,multiply(sk_c7,Z_434)) = multiply(identity,Z_434) ),
inference(superposition,[status(thm),theory(equality)],[c_46645,c_46765]) ).
tff(c_46825,plain,
! [Z_434] : ( multiply(sk_c6,multiply(sk_c7,Z_434)) = Z_434 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46807]) ).
tff(c_48124,plain,
! [Z_460] : ( multiply(sk_c6,Z_460) = Z_460 ),
inference(demodulation,[status(thm),theory(equality)],[c_48059,c_46825]) ).
tff(c_48136,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_48124,c_46645]) ).
tff(c_48151,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48136,c_47964]) ).
tff(c_47488,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c11 )
| ( 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_108]) ).
tff(c_47641,plain,
! [X7_452,X5_453] :
( ( inverse(multiply(X7_452,inverse(X5_453))) != inverse(X5_453) )
| ( multiply(X7_452,inverse(X5_453)) != inverse(X7_452) )
| ( multiply(inverse(X5_453),sk_c10) != sk_c11 )
| ( multiply(X5_453,inverse(X5_453)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_47488]) ).
tff(c_47646,plain,
! [X7_452] :
( ( inverse(multiply(X7_452,sk_c8)) != inverse(sk_c5) )
| ( multiply(X7_452,inverse(sk_c5)) != inverse(X7_452) )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_46689,c_47641]) ).
tff(c_47665,plain,
! [X7_452] :
( ( inverse(multiply(X7_452,sk_c8)) != sk_c8 )
| ( multiply(X7_452,sk_c8) != inverse(X7_452) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46731,c_46689,c_46706,c_46689,c_46689,c_46689,c_47646]) ).
tff(c_48212,plain,
! [X7_462] :
( ( inverse(multiply(X7_462,identity)) != identity )
| ( multiply(X7_462,identity) != inverse(X7_462) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48151,c_48151,c_48151,c_47665]) ).
tff(c_48220,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_48212]) ).
tff(c_48228,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47951,c_47951,c_4,c_47951,c_48220]) ).
tff(c_48229,plain,
! [X2_11,X1_10,X4_13,X3_8] :
( ( 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_c9 )
| ( multiply(X4_13,sk_c9) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_47488]) ).
tff(c_48344,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_48229]) ).
tff(c_48452,plain,
! [X3_468] :
( ( inverse(X3_468) != sk_c10 )
| ( multiply(X3_468,sk_c10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48405,c_48405,c_48344]) ).
tff(c_48455,plain,
inverse(sk_c3) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_48372,c_48452]) ).
tff(c_48477,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48418,c_48455]) ).
tff(c_48478,plain,
! [X4_13,X1_10,X2_11] :
( ( inverse(X4_13) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_48229]) ).
tff(c_48585,plain,
! [X4_13,X1_10,X2_11] :
( ( inverse(X4_13) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48539,c_48539,c_48539,c_48478]) ).
tff(c_48586,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_48585]) ).
tff(c_49451,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_49063,c_48741,c_48739,c_48741,c_48586]) ).
tff(c_48750,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48739,c_125]) ).
tff(c_48782,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48750,c_4]) ).
tff(c_48852,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_48782,c_46827]) ).
tff(c_48864,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48852]) ).
tff(c_48868,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48864,c_48750]) ).
tff(c_49453,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49451,c_48868]) ).
tff(c_49454,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X4_13) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_48585]) ).
tff(c_61991,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X4_13) != identity )
| ( identity != X4_13 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49934,c_49589,c_49587,c_49587,c_49934,c_49589,c_49589,c_49589,c_49454]) ).
tff(c_61993,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_61991]) ).
tff(c_48552,plain,
inverse(sk_c3) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_48539,c_46668]) ).
tff(c_48563,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48552,c_4]) ).
tff(c_49712,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49589,c_48563]) ).
tff(c_49624,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49589,c_48552]) ).
tff(c_49713,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49712,c_49624]) ).
tff(c_61995,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61993,c_49713]) ).
tff(c_61997,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_61991]) ).
tff(c_61999,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61997,c_49713]) ).
tff(c_62001,plain,
inverse(sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_104,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_62064,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_62001,c_104]) ).
tff(c_62068,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_62064,c_4]) ).
tff(c_106,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_62115,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_62001,c_106]) ).
tff(c_96,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_62098,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_62001,c_96]) ).
tff(c_98,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_62025,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_62001,c_98]) ).
tff(c_62029,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_62025,c_4]) ).
tff(c_62176,plain,
! [Z_612] : ( multiply(sk_c8,multiply(sk_c5,Z_612)) = multiply(identity,Z_612) ),
inference(superposition,[status(thm),theory(equality)],[c_62029,c_62137]) ).
tff(c_100276,plain,
! [Z_857] : ( multiply(sk_c8,multiply(sk_c5,Z_857)) = Z_857 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62176]) ).
tff(c_100291,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_62098,c_100276]) ).
tff(c_62152,plain,
! [Z_612] : ( multiply(sk_c7,multiply(sk_c8,Z_612)) = multiply(sk_c6,Z_612) ),
inference(superposition,[status(thm),theory(equality)],[c_62115,c_62137]) ).
tff(c_100422,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_100291,c_62152]) ).
tff(c_100428,plain,
multiply(sk_c6,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_62115,c_100422]) ).
tff(c_62167,plain,
! [Z_612] : ( multiply(sk_c8,multiply(sk_c6,Z_612)) = multiply(identity,Z_612) ),
inference(superposition,[status(thm),theory(equality)],[c_62068,c_62137]) ).
tff(c_62193,plain,
! [Z_612] : ( multiply(sk_c8,multiply(sk_c6,Z_612)) = Z_612 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62167]) ).
tff(c_100433,plain,
multiply(sk_c8,sk_c6) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_100428,c_62193]) ).
tff(c_100439,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62068,c_100433]) ).
tff(c_88,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_62093,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_62001,c_88]) ).
tff(c_90,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_62052,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_62001,c_90]) ).
tff(c_62056,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_62052,c_4]) ).
tff(c_62170,plain,
! [Z_612] : ( multiply(sk_c11,multiply(sk_c3,Z_612)) = multiply(identity,Z_612) ),
inference(superposition,[status(thm),theory(equality)],[c_62056,c_62137]) ).
tff(c_62741,plain,
! [Z_622] : ( multiply(sk_c11,multiply(sk_c3,Z_622)) = Z_622 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62170]) ).
tff(c_62753,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_62093,c_62741]) ).
tff(c_100444,plain,
multiply(identity,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_100439,c_100439,c_62753]) ).
tff(c_101525,plain,
multiply(inverse(identity),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_100444,c_62199]) ).
tff(c_101537,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_101525]) ).
tff(c_100593,plain,
! [X_861,Z_862] : ( multiply(inverse(X_861),multiply(X_861,Z_862)) = Z_862 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62185]) ).
tff(c_100979,plain,
! [X_866,Z_867] : ( multiply(inverse(inverse(X_866)),Z_867) = multiply(X_866,Z_867) ),
inference(superposition,[status(thm),theory(equality)],[c_100593,c_62199]) ).
tff(c_100650,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_100593]) ).
tff(c_100986,plain,
! [X_866] : ( multiply(X_866,identity) = X_866 ),
inference(superposition,[status(thm),theory(equality)],[c_100979,c_100650]) ).
tff(c_100535,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_100444,c_2]) ).
tff(c_62226,plain,
! [Z_614] : ( multiply(sk_c8,multiply(sk_c5,Z_614)) = Z_614 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62176]) ).
tff(c_62238,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_62098,c_62226]) ).
tff(c_62272,plain,
! [X_616,Z_617] : ( multiply(inverse(X_616),multiply(X_616,Z_617)) = Z_617 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62185]) ).
tff(c_62296,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_62238,c_62272]) ).
tff(c_62370,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_62296]) ).
tff(c_62317,plain,
multiply(inverse(sk_c3),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_62093,c_62272]) ).
tff(c_62373,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_62052,c_62317]) ).
tff(c_62517,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62370,c_2,c_62370,c_62373]) ).
tff(c_92,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_62079,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_62001,c_92]) ).
tff(c_94,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_62033,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_62001,c_94]) ).
tff(c_62037,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_62033,c_4]) ).
tff(c_62173,plain,
! [Z_612] : ( multiply(sk_c10,multiply(sk_c4,Z_612)) = multiply(identity,Z_612) ),
inference(superposition,[status(thm),theory(equality)],[c_62037,c_62137]) ).
tff(c_62249,plain,
! [Z_615] : ( multiply(sk_c10,multiply(sk_c4,Z_615)) = Z_615 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62173]) ).
tff(c_62261,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_62079,c_62249]) ).
tff(c_62290,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_62261,c_62272]) ).
tff(c_62369,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_62290]) ).
tff(c_62225,plain,
multiply(sk_c11,sk_c9) != sk_c10,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_62380,plain,
multiply(sk_c11,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_62369,c_62225]) ).
tff(c_62731,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62517,c_2,c_62370,c_62380]) ).
tff(c_62733,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_100446,plain,
multiply(identity,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_100439,c_62733]) ).
tff(c_100727,plain,
multiply(identity,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_100535,c_100446]) ).
tff(c_100731,plain,
multiply(inverse(identity),identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_100727,c_62199]) ).
tff(c_100743,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_100731]) ).
tff(c_99974,plain,
! [Z_851] : ( multiply(sk_c10,multiply(sk_c4,Z_851)) = Z_851 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62173]) ).
tff(c_99986,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_62079,c_99974]) ).
tff(c_100118,plain,
! [Z_855] : ( multiply(sk_c3,multiply(sk_c11,Z_855)) = multiply(sk_c10,Z_855) ),
inference(superposition,[status(thm),theory(equality)],[c_62093,c_62137]) ).
tff(c_100139,plain,
multiply(sk_c3,sk_c10) = multiply(sk_c10,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_62733,c_100118]) ).
tff(c_100150,plain,
multiply(sk_c3,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_99986,c_100139]) ).
tff(c_62194,plain,
! [Z_612] : ( multiply(sk_c11,multiply(sk_c3,Z_612)) = Z_612 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62170]) ).
tff(c_100165,plain,
multiply(sk_c11,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_100150,c_62194]) ).
tff(c_100179,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_100165,c_62753]) ).
tff(c_100201,plain,
inverse(sk_c3) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_100179,c_62052]) ).
tff(c_100,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_62088,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_62001,c_100]) ).
tff(c_62765,plain,
! [Z_623] : ( multiply(sk_c10,multiply(sk_c4,Z_623)) = Z_623 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62173]) ).
tff(c_62777,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_62079,c_62765]) ).
tff(c_62788,plain,
! [Z_624] : ( multiply(sk_c8,multiply(sk_c10,Z_624)) = multiply(sk_c11,Z_624) ),
inference(superposition,[status(thm),theory(equality)],[c_62088,c_62137]) ).
tff(c_62800,plain,
multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_62777,c_62788]) ).
tff(c_62810,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_62733,c_62088,c_62800]) ).
tff(c_62813,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_62810,c_62810,c_62753]) ).
tff(c_62960,plain,
! [X_627,Z_628] : ( multiply(inverse(X_627),multiply(X_627,Z_628)) = Z_628 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62185]) ).
tff(c_62999,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_62813,c_62960]) ).
tff(c_63055,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_62999]) ).
tff(c_62818,plain,
multiply(sk_c8,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_62810,c_62088]) ).
tff(c_62816,plain,
multiply(sk_c5,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_62810,c_62098]) ).
tff(c_62981,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_62816,c_62960]) ).
tff(c_63052,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_62818,c_62025,c_62981]) ).
tff(c_62000,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_62005,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_62000,c_4]) ).
tff(c_62201,plain,
! [Z_613] : ( multiply(sk_c8,multiply(sk_c6,Z_613)) = Z_613 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62167]) ).
tff(c_62213,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_62005,c_62201]) ).
tff(c_62806,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_62037,c_62788]) ).
tff(c_62811,plain,
multiply(sk_c11,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_62213,c_62806]) ).
tff(c_62842,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62037,c_62810,c_62811]) ).
tff(c_62844,plain,
multiply(identity,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_62842,c_62115]) ).
tff(c_62957,plain,
sk_c8 = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_2,c_62844]) ).
tff(c_63084,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_63052,c_62957]) ).
tff(c_63113,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_63055,c_63084]) ).
tff(c_63075,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_62957,c_62064]) ).
tff(c_63139,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_63113,c_63113,c_63075]) ).
tff(c_63011,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_62777,c_62960]) ).
tff(c_63057,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_63011]) ).
tff(c_63339,plain,
! [X_632,Z_633] : ( multiply(inverse(inverse(X_632)),Z_633) = multiply(X_632,Z_633) ),
inference(superposition,[status(thm),theory(equality)],[c_62199,c_62960]) ).
tff(c_63044,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_62960]) ).
tff(c_63346,plain,
! [X_632] : ( multiply(X_632,identity) = X_632 ),
inference(superposition,[status(thm),theory(equality)],[c_63339,c_63044]) ).
tff(c_62732,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c11 )
| ( 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_108]) ).
tff(c_62757,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_62732]) ).
tff(c_62859,plain,
! [X7_625,X5_626] :
( ( inverse(multiply(X7_625,inverse(X5_626))) != inverse(X5_626) )
| ( multiply(X7_625,inverse(X5_626)) != inverse(X7_625) )
| ( multiply(inverse(X5_626),sk_c10) != sk_c10 )
| ( multiply(X5_626,inverse(X5_626)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62810,c_62810,c_62757]) ).
tff(c_62872,plain,
! [X7_625] :
( ( inverse(multiply(X7_625,sk_c10)) != inverse(sk_c4) )
| ( multiply(X7_625,inverse(sk_c4)) != inverse(X7_625) )
| ( multiply(inverse(sk_c4),sk_c10) != sk_c10 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_62033,c_62859]) ).
tff(c_62886,plain,
! [X7_625] :
( ( inverse(multiply(X7_625,sk_c10)) != sk_c10 )
| ( multiply(X7_625,sk_c10) != inverse(X7_625) )
| ( multiply(sk_c10,sk_c10) != sk_c10 )
| ( sk_c9 != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62079,c_62033,c_62033,c_62033,c_62033,c_62872]) ).
tff(c_99944,plain,
! [X7_850] :
( ( inverse(X7_850) != identity )
| ( inverse(X7_850) != X7_850 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63055,c_63057,c_2,c_63055,c_63346,c_63055,c_63346,c_63055,c_63055,c_62886]) ).
tff(c_99956,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_63139,c_99944]) ).
tff(c_99965,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_63139,c_99956]) ).
tff(c_99966,plain,
! [X2_11,X1_10,X4_13,X3_8] :
( ( 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_c9 )
| ( multiply(X4_13,sk_c9) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_62732]) ).
tff(c_100078,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_99966]) ).
tff(c_100212,plain,
! [X3_856] :
( ( inverse(X3_856) != sk_c10 )
| ( multiply(X3_856,sk_c10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100179,c_100179,c_100078]) ).
tff(c_100235,plain,
inverse(sk_c3) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_100150,c_100212]) ).
tff(c_100254,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100201,c_100235]) ).
tff(c_100255,plain,
! [X4_13,X1_10,X2_11] :
( ( inverse(X4_13) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_99966]) ).
tff(c_100393,plain,
! [X2_859] :
( ( inverse(X2_859) != sk_c10 )
| ( multiply(X2_859,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_100255]) ).
tff(c_100404,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_62079,c_100393]) ).
tff(c_100417,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62033,c_100404]) ).
tff(c_100418,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_100255]) ).
tff(c_100516,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X4_13) != sk_c9 )
| ( multiply(X4_13,sk_c9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100439,c_100439,c_100439,c_100418]) ).
tff(c_100517,plain,
! [X4_13] :
( ( inverse(X4_13) != sk_c9 )
| ( multiply(X4_13,sk_c9) != identity ) ),
inference(splitLeft,[status(thm)],[c_100516]) ).
tff(c_101377,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_100986,c_100743,c_100743,c_100517]) ).
tff(c_100442,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_100439,c_100291]) ).
tff(c_100454,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_62213,c_100442]) ).
tff(c_100482,plain,
multiply(sk_c7,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_100454,c_62029]) ).
tff(c_62161,plain,
! [Z_612] : ( multiply(sk_c8,multiply(sk_c10,Z_612)) = multiply(sk_c11,Z_612) ),
inference(superposition,[status(thm),theory(equality)],[c_62088,c_62137]) ).
tff(c_100748,plain,
! [Z_863] : ( multiply(sk_c7,Z_863) = Z_863 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100535,c_100454,c_2,c_100439,c_62161]) ).
tff(c_100766,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_100482,c_100748]) ).
tff(c_100746,plain,
! [Z_612] : ( multiply(sk_c7,Z_612) = Z_612 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100535,c_100454,c_2,c_100439,c_62161]) ).
tff(c_100481,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_100454,c_62064]) ).
tff(c_100644,plain,
multiply(inverse(sk_c6),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_62005,c_100593]) ).
tff(c_100662,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_100481,c_100644]) ).
tff(c_100747,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_100746,c_100662]) ).
tff(c_100483,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_100454,c_62025]) ).
tff(c_100775,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_100747,c_100483]) ).
tff(c_100805,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_100766,c_100775]) ).
tff(c_101379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101377,c_100805]) ).
tff(c_101380,plain,
! [X1_10] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_100516]) ).
tff(c_102222,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_101837,c_101537,c_101380]) ).
tff(c_100451,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_100439,c_62052]) ).
tff(c_100491,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_100451,c_4]) ).
tff(c_101603,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_100491,c_62199]) ).
tff(c_101615,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_101603]) ).
tff(c_101619,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_101615,c_100451]) ).
tff(c_102224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102222,c_101619]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP273-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 21:52:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 21.11/10.05 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.31/10.14
% 21.31/10.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 21.70/10.22
% 21.70/10.22 Inference rules
% 21.70/10.22 ----------------------
% 21.70/10.22 #Ref : 0
% 21.70/10.22 #Sup : 24788
% 21.70/10.22 #Fact : 0
% 21.70/10.22 #Define : 0
% 21.70/10.22 #Split : 29
% 21.70/10.22 #Chain : 0
% 21.70/10.22 #Close : 0
% 21.70/10.22
% 21.70/10.22 Ordering : KBO
% 21.70/10.22
% 21.70/10.22 Simplification rules
% 21.70/10.22 ----------------------
% 21.70/10.22 #Subsume : 3
% 21.70/10.22 #Demod : 83954
% 21.70/10.22 #Tautology : 20179
% 21.70/10.22 #SimpNegUnit : 74
% 21.70/10.22 #BackRed : 790
% 21.70/10.22
% 21.70/10.22 #Partial instantiations: 0
% 21.70/10.22 #Strategies tried : 1
% 21.70/10.22
% 21.70/10.22 Timing (in seconds)
% 21.70/10.22 ----------------------
% 21.70/10.23 Preprocessing : 0.59
% 21.70/10.23 Parsing : 0.22
% 21.70/10.23 CNF conversion : 0.03
% 21.70/10.23 Main loop : 8.42
% 21.70/10.23 Inferencing : 2.20
% 21.70/10.23 Reduction : 5.01
% 21.70/10.23 Demodulation : 4.66
% 21.70/10.23 BG Simplification : 0.17
% 21.70/10.23 Subsumption : 0.72
% 21.70/10.23 Abstraction : 0.55
% 21.70/10.23 MUC search : 0.00
% 21.70/10.23 Cooper : 0.00
% 21.70/10.23 Total : 9.20
% 21.70/10.23 Index Insertion : 0.00
% 21.70/10.23 Index Deletion : 0.00
% 21.70/10.23 Index Matching : 0.00
% 21.70/10.23 BG Taut test : 0.00
%------------------------------------------------------------------------------