TSTP Solution File: GRP338-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP338-1 : 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 : n017.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 10:40:59 EDT 2023
% Result : Unsatisfiable 20.32s 8.85s
% Output : CNFRefutation 21.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 54
% Syntax : Number of formulae : 648 ( 520 unt; 14 typ; 0 def)
% Number of atoms : 872 ( 847 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 484 ( 246 ~; 238 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 315 (; 315 !; 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_c10) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
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_c1,sk_c10) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c10,sk_c11) = sk_c9 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_257,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( multiply(sk_c10,sk_c11) != sk_c9 )
| ( inverse(X3) != sk_c11 )
| ( multiply(X3,sk_c10) != sk_c11 )
| ( multiply(X4,sk_c10) != sk_c11 )
| ( inverse(X4) != sk_c10 )
| ( 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_125,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c10,sk_c11) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c10,sk_c11) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
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_119,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
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_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_113,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_212,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( 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_69285,plain,
! [X_558,Y_559,Z_560] : ( multiply(multiply(X_558,Y_559),Z_560) = multiply(X_558,multiply(Y_559,Z_560)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_69333,plain,
! [X_2,Z_560] : ( multiply(inverse(X_2),multiply(X_2,Z_560)) = multiply(identity,Z_560) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_69285]) ).
tff(c_69347,plain,
! [X_2,Z_560] : ( multiply(inverse(X_2),multiply(X_2,Z_560)) = Z_560 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69333]) ).
tff(c_72549,plain,
! [X_610,Z_611] : ( multiply(inverse(X_610),multiply(X_610,Z_611)) = Z_611 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69333]) ).
tff(c_72909,plain,
! [X_615,Z_616] : ( multiply(inverse(inverse(X_615)),Z_616) = multiply(X_615,Z_616) ),
inference(superposition,[status(thm),theory(equality)],[c_69347,c_72549]) ).
tff(c_72591,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_72549]) ).
tff(c_72916,plain,
! [X_615] : ( multiply(X_615,identity) = X_615 ),
inference(superposition,[status(thm),theory(equality)],[c_72909,c_72591]) ).
tff(c_65398,plain,
! [X_486,Y_487,Z_488] : ( multiply(multiply(X_486,Y_487),Z_488) = multiply(X_486,multiply(Y_487,Z_488)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_65446,plain,
! [X_2,Z_488] : ( multiply(inverse(X_2),multiply(X_2,Z_488)) = multiply(identity,Z_488) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65398]) ).
tff(c_68368,plain,
! [X_542,Z_543] : ( multiply(inverse(X_542),multiply(X_542,Z_543)) = Z_543 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65446]) ).
tff(c_65460,plain,
! [X_2,Z_488] : ( multiply(inverse(X_2),multiply(X_2,Z_488)) = Z_488 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65446]) ).
tff(c_68753,plain,
! [X_548,Z_549] : ( multiply(inverse(inverse(X_548)),Z_549) = multiply(X_548,Z_549) ),
inference(superposition,[status(thm),theory(equality)],[c_68368,c_65460]) ).
tff(c_68401,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_68368]) ).
tff(c_68760,plain,
! [X_548] : ( multiply(X_548,identity) = X_548 ),
inference(superposition,[status(thm),theory(equality)],[c_68753,c_68401]) ).
tff(c_74,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_162,plain,
multiply(sk_c2,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_102,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_125,plain,
inverse(sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_129,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_125,c_4]) ).
tff(c_60425,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_60476,plain,
! [Z_395] : ( multiply(sk_c10,multiply(sk_c2,Z_395)) = multiply(identity,Z_395) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_60425]) ).
tff(c_60509,plain,
! [Z_397] : ( multiply(sk_c10,multiply(sk_c2,Z_397)) = Z_397 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60476]) ).
tff(c_60521,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_162,c_60509]) ).
tff(c_59022,plain,
! [X_369,Y_370,Z_371] : ( multiply(multiply(X_369,Y_370),Z_371) = multiply(X_369,multiply(Y_370,Z_371)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_59076,plain,
! [Z_371] : ( multiply(sk_c10,multiply(sk_c2,Z_371)) = multiply(identity,Z_371) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_59022]) ).
tff(c_59109,plain,
! [Z_373] : ( multiply(sk_c10,multiply(sk_c2,Z_373)) = Z_373 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59076]) ).
tff(c_59121,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_162,c_59109]) ).
tff(c_59079,plain,
! [X_2,Z_371] : ( multiply(inverse(X_2),multiply(X_2,Z_371)) = multiply(identity,Z_371) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_59022]) ).
tff(c_59267,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_59079]) ).
tff(c_59315,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_59121,c_59267]) ).
tff(c_59397,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_59315]) ).
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_59433,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_59397,c_137]) ).
tff(c_59496,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_59433,c_4]) ).
tff(c_59094,plain,
! [X_2,Z_371] : ( multiply(inverse(X_2),multiply(X_2,Z_371)) = Z_371 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59079]) ).
tff(c_59562,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_59496,c_59094]) ).
tff(c_59574,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_59562]) ).
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_236,plain,
! [Z_18] : ( multiply(sk_c10,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_c10,multiply(sk_c2,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_236]) ).
tff(c_286,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_162,c_274]) ).
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_921,plain,
! [X_34,Z_35] : ( multiply(inverse(X_34),multiply(X_34,Z_35)) = Z_35 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).
tff(c_948,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_286,c_921]) ).
tff(c_991,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_948]) ).
tff(c_58,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_175,plain,
multiply(sk_c1,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_141,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_137,c_4]) ).
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_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_175,c_251]) ).
tff(c_998,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_991,c_991,c_263]) ).
tff(c_1005,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_998]) ).
tff(c_24,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_167,plain,
multiply(sk_c10,sk_c11) = sk_c9,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_290,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_167]) ).
tff(c_227,plain,
! [Z_18] : ( multiply(sk_c10,multiply(sk_c11,Z_18)) = multiply(sk_c9,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_167,c_209]) ).
tff(c_883,plain,
! [Z_33] : ( multiply(sk_c10,multiply(sk_c11,Z_33)) = multiply(sk_c10,Z_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_227]) ).
tff(c_901,plain,
multiply(sk_c10,sk_c1) = multiply(sk_c10,identity),
inference(superposition,[status(thm),theory(equality)],[c_141,c_883]) ).
tff(c_1010,plain,
multiply(identity,sk_c1) = multiply(identity,identity),
inference(demodulation,[status(thm),theory(equality)],[c_1005,c_1005,c_901]) ).
tff(c_1016,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_1010]) ).
tff(c_1003,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_991,c_137]) ).
tff(c_1087,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1016,c_1003]) ).
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_1236,plain,
! [X_41,Z_42] : ( multiply(inverse(inverse(X_41)),Z_42) = multiply(X_41,Z_42) ),
inference(superposition,[status(thm),theory(equality)],[c_249,c_921]) ).
tff(c_981,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_921]) ).
tff(c_1247,plain,
! [X_41] : ( multiply(X_41,identity) = X_41 ),
inference(superposition,[status(thm),theory(equality)],[c_1236,c_981]) ).
tff(c_1261,plain,
! [X_41] : ( multiply(X_41,inverse(X_41)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_1236,c_4]) ).
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_1520,plain,
! [X_48,Y_49,Z_50] : ( multiply(inverse(multiply(X_48,Y_49)),multiply(X_48,multiply(Y_49,Z_50))) = Z_50 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_921]) ).
tff(c_1599,plain,
! [X_48,X_2] : ( multiply(inverse(multiply(X_48,inverse(X_2))),multiply(X_48,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1520]) ).
tff(c_1636,plain,
! [X_51,X_52] : ( multiply(inverse(multiply(X_51,inverse(X_52))),X_51) = X_52 ),
inference(demodulation,[status(thm),theory(equality)],[c_1247,c_1599]) ).
tff(c_1254,plain,
! [X_41,Z_18] : ( multiply(X_41,multiply(inverse(X_41),Z_18)) = Z_18 ),
inference(superposition,[status(thm),theory(equality)],[c_1236,c_249]) ).
tff(c_1656,plain,
! [X_51,X_52] : ( multiply(multiply(X_51,inverse(X_52)),X_52) = X_51 ),
inference(superposition,[status(thm),theory(equality)],[c_1636,c_1254]) ).
tff(c_1288,plain,
! [X_43] : ( multiply(X_43,identity) = X_43 ),
inference(superposition,[status(thm),theory(equality)],[c_1236,c_981]) ).
tff(c_1334,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_981,c_1288]) ).
tff(c_1568,plain,
! [X_48,X_41] : ( multiply(inverse(multiply(X_48,X_41)),multiply(X_48,identity)) = inverse(X_41) ),
inference(superposition,[status(thm),theory(equality)],[c_1261,c_1520]) ).
tff(c_1891,plain,
! [X_57,X_58] : ( multiply(inverse(multiply(X_57,X_58)),X_57) = inverse(X_58) ),
inference(demodulation,[status(thm),theory(equality)],[c_1247,c_1568]) ).
tff(c_1624,plain,
! [X_48,X_41] : ( multiply(inverse(multiply(X_48,X_41)),X_48) = inverse(X_41) ),
inference(demodulation,[status(thm),theory(equality)],[c_1247,c_1568]) ).
tff(c_1894,plain,
! [X_58,X_57] : ( multiply(inverse(inverse(X_58)),inverse(multiply(X_57,X_58))) = inverse(X_57) ),
inference(superposition,[status(thm),theory(equality)],[c_1891,c_1624]) ).
tff(c_2003,plain,
! [X_59,X_60] : ( multiply(X_59,inverse(multiply(X_60,X_59))) = inverse(X_60) ),
inference(demodulation,[status(thm),theory(equality)],[c_1334,c_1894]) ).
tff(c_2060,plain,
! [X_51,X_52] : ( inverse(multiply(X_51,inverse(X_52))) = multiply(X_52,inverse(X_51)) ),
inference(superposition,[status(thm),theory(equality)],[c_1656,c_2003]) ).
tff(c_305,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_323,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_286,c_305]) ).
tff(c_363,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_323]) ).
tff(c_600,plain,
! [X_26,Z_27] : ( multiply(inverse(inverse(X_26)),Z_27) = multiply(X_26,Z_27) ),
inference(superposition,[status(thm),theory(equality)],[c_305,c_249]) ).
tff(c_356,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_305]) ).
tff(c_611,plain,
! [X_26] : ( multiply(X_26,identity) = X_26 ),
inference(superposition,[status(thm),theory(equality)],[c_600,c_356]) ).
tff(c_369,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_363,c_363,c_263]) ).
tff(c_375,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_369]) ).
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_c10 )
| ( multiply(X4_13,sk_c10) != sk_c11 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(sk_c10,sk_c11) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_303,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_c10 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c11 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_286,c_290,c_108]) ).
tff(c_304,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_303]) ).
tff(c_878,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_363,c_611,c_375,c_363,c_304]) ).
tff(c_373,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_363,c_141]) ).
tff(c_466,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_373,c_249]) ).
tff(c_478,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_466]) ).
tff(c_374,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_363,c_137]) ).
tff(c_482,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_478,c_374]) ).
tff(c_880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_878,c_482]) ).
tff(c_881,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != 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_c10 )
| ( 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_303]) ).
tff(c_8897,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(X4_13) != identity )
| ( identity != X4_13 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( multiply(X5_6,inverse(X7_9)) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1261,c_991,c_1247,c_1005,c_991,c_2060,c_1247,c_1005,c_1005,c_1005,c_1247,c_1005,c_991,c_991,c_1247,c_1005,c_991,c_1005,c_881]) ).
tff(c_34485,plain,
! [X5_250,X7_251] :
( ( multiply(X5_250,inverse(X7_251)) != inverse(X5_250) )
| ( multiply(X7_251,inverse(X5_250)) != inverse(X7_251) )
| ( inverse(X5_250) != identity ) ),
inference(splitLeft,[status(thm)],[c_8897]) ).
tff(c_34555,plain,
! [X7_251] :
( ( inverse(identity) != inverse(X7_251) )
| ( multiply(X7_251,inverse(identity)) != inverse(X7_251) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_34485]) ).
tff(c_34585,plain,
! [X7_252] :
( ( inverse(X7_252) != identity )
| ( inverse(X7_252) != X7_252 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1087,c_1247,c_1087,c_1087,c_34555]) ).
tff(c_34597,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_1087,c_34585]) ).
tff(c_34606,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1087,c_34597]) ).
tff(c_34607,plain,
! [X4_13,X1_10,X2_11] :
( ( inverse(X4_13) != identity )
| ( identity != X4_13 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_8897]) ).
tff(c_58903,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_34607]) ).
tff(c_58905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58903,c_1087]) ).
tff(c_58906,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X4_13) != identity )
| ( identity != X4_13 ) ),
inference(splitRight,[status(thm)],[c_34607]) ).
tff(c_58909,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_58906]) ).
tff(c_58911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58909,c_1087]) ).
tff(c_58913,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_58906]) ).
tff(c_58915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58913,c_1087]) ).
tff(c_58917,plain,
multiply(sk_c1,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_48,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_59017,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_58917,c_48]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_58933,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_58917,c_50]) ).
tff(c_58937,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_58933,c_4]) ).
tff(c_59061,plain,
! [Z_371] : ( multiply(sk_c11,multiply(sk_c3,Z_371)) = multiply(identity,Z_371) ),
inference(superposition,[status(thm),theory(equality)],[c_58937,c_59022]) ).
tff(c_59148,plain,
! [Z_374] : ( multiply(sk_c11,multiply(sk_c3,Z_374)) = Z_374 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59061]) ).
tff(c_59160,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_59017,c_59148]) ).
tff(c_59306,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_59160,c_59267]) ).
tff(c_59395,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_59306]) ).
tff(c_59430,plain,
multiply(sk_c1,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_59397,c_58917]) ).
tff(c_59805,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59574,c_59395,c_59430]) ).
tff(c_59807,plain,
multiply(sk_c10,sk_c11) != sk_c9,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_60525,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_60521,c_59807]) ).
tff(c_59920,plain,
! [X_384,Y_385,Z_386] : ( multiply(multiply(X_384,Y_385),Z_386) = multiply(X_384,multiply(Y_385,Z_386)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_59974,plain,
! [Z_386] : ( multiply(sk_c10,multiply(sk_c2,Z_386)) = multiply(identity,Z_386) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_59920]) ).
tff(c_60017,plain,
! [Z_388] : ( multiply(sk_c10,multiply(sk_c2,Z_388)) = Z_388 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59974]) ).
tff(c_60029,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_162,c_60017]) ).
tff(c_59977,plain,
! [X_2,Z_386] : ( multiply(inverse(X_2),multiply(X_2,Z_386)) = multiply(identity,Z_386) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_59920]) ).
tff(c_60041,plain,
! [X_389,Z_390] : ( multiply(inverse(X_389),multiply(X_389,Z_390)) = Z_390 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59977]) ).
tff(c_60059,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_60029,c_60041]) ).
tff(c_60144,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_60059]) ).
tff(c_59820,plain,
multiply(sk_c1,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_59971,plain,
! [Z_386] : ( multiply(sk_c11,multiply(sk_c1,Z_386)) = multiply(identity,Z_386) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_59920]) ).
tff(c_59994,plain,
! [Z_387] : ( multiply(sk_c11,multiply(sk_c1,Z_387)) = Z_387 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59971]) ).
tff(c_60006,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_59820,c_59994]) ).
tff(c_60155,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_60144,c_60144,c_60006]) ).
tff(c_60166,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60155]) ).
tff(c_60033,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_60029,c_59807]) ).
tff(c_60171,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_60166,c_60033]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_59872,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_59807,c_14]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_59906,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_59807,c_12]) ).
tff(c_60077,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_59906,c_60041]) ).
tff(c_60146,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_59872,c_60077]) ).
tff(c_60301,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60166,c_2,c_60166,c_60146]) ).
tff(c_60302,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60171,c_60301]) ).
tff(c_60304,plain,
multiply(sk_c1,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_60403,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_60304,c_48]) ).
tff(c_60305,plain,
multiply(sk_c1,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_60318,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60305,c_60304]) ).
tff(c_60319,plain,
inverse(sk_c3) = sk_c11,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_60331,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_60319,c_4]) ).
tff(c_60464,plain,
! [Z_395] : ( multiply(sk_c11,multiply(sk_c3,Z_395)) = multiply(identity,Z_395) ),
inference(superposition,[status(thm),theory(equality)],[c_60331,c_60425]) ).
tff(c_60535,plain,
! [Z_398] : ( multiply(sk_c11,multiply(sk_c3,Z_398)) = Z_398 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60464]) ).
tff(c_60547,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_60403,c_60535]) ).
tff(c_60479,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_60425]) ).
tff(c_60629,plain,
! [X_401,Z_402] : ( multiply(inverse(X_401),multiply(X_401,Z_402)) = Z_402 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60479]) ).
tff(c_60659,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_60547,c_60629]) ).
tff(c_60749,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_60659]) ).
tff(c_60533,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_c10 )
| ( multiply(X4_13,sk_c10) != sk_c11 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( sk_c9 != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60521,c_108]) ).
tff(c_60534,plain,
sk_c9 != sk_c10,
inference(splitLeft,[status(thm)],[c_60533]) ).
tff(c_60785,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_60749,c_60534]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_60365,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_60304,c_54]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_60408,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_60304,c_52]) ).
tff(c_60680,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_60408,c_60629]) ).
tff(c_60752,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_60365,c_60680]) ).
tff(c_60963,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60749,c_2,c_60749,c_60752]) ).
tff(c_60964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60785,c_60963]) ).
tff(c_60966,plain,
sk_c9 = sk_c10,
inference(splitRight,[status(thm)],[c_60533]) ).
tff(c_60967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60525,c_60966]) ).
tff(c_60969,plain,
multiply(sk_c2,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_63065,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_60969,c_76]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_63040,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_60969,c_78]) ).
tff(c_63044,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_63040,c_4]) ).
tff(c_63100,plain,
! [X_444,Y_445,Z_446] : ( multiply(multiply(X_444,Y_445),Z_446) = multiply(X_444,multiply(Y_445,Z_446)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_63130,plain,
! [Z_446] : ( multiply(sk_c8,multiply(sk_c5,Z_446)) = multiply(identity,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_63044,c_63100]) ).
tff(c_63232,plain,
! [Z_450] : ( multiply(sk_c8,multiply(sk_c5,Z_450)) = Z_450 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63130]) ).
tff(c_63244,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_63065,c_63232]) ).
tff(c_63154,plain,
! [X_2,Z_446] : ( multiply(inverse(X_2),multiply(X_2,Z_446)) = multiply(identity,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_63100]) ).
tff(c_63293,plain,
! [X_452,Z_453] : ( multiply(inverse(X_452),multiply(X_452,Z_453)) = Z_453 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63154]) ).
tff(c_63320,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_63244,c_63293]) ).
tff(c_63409,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_63320]) ).
tff(c_60981,plain,
multiply(sk_c1,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_63148,plain,
! [Z_446] : ( multiply(sk_c11,multiply(sk_c1,Z_446)) = multiply(identity,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_63100]) ).
tff(c_63171,plain,
! [Z_447] : ( multiply(sk_c11,multiply(sk_c1,Z_447)) = Z_447 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63148]) ).
tff(c_63183,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_60981,c_63171]) ).
tff(c_63424,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_63409,c_63409,c_63183]) ).
tff(c_63438,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63424]) ).
tff(c_63454,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_63438,c_125]) ).
tff(c_63531,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_63454,c_4]) ).
tff(c_63169,plain,
! [X_2,Z_446] : ( multiply(inverse(X_2),multiply(X_2,Z_446)) = Z_446 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63154]) ).
tff(c_63698,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_63531,c_63169]) ).
tff(c_63710,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_63698]) ).
tff(c_63433,plain,
multiply(sk_c2,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_63409,c_60969]) ).
tff(c_63647,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_63438,c_63433]) ).
tff(c_63715,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_63710,c_63647]) ).
tff(c_63720,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63715]) ).
tff(c_63722,plain,
multiply(sk_c1,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_63806,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_63722,c_56]) ).
tff(c_63721,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_63726,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_63721,c_4]) ).
tff(c_63834,plain,
! [X_457,Y_458,Z_459] : ( multiply(multiply(X_457,Y_458),Z_459) = multiply(X_457,multiply(Y_458,Z_459)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_63876,plain,
! [Z_459] : ( multiply(sk_c8,multiply(sk_c5,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_63726,c_63834]) ).
tff(c_64672,plain,
! [Z_479] : ( multiply(sk_c8,multiply(sk_c5,Z_479)) = Z_479 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63876]) ).
tff(c_64684,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_63806,c_64672]) ).
tff(c_63888,plain,
! [X_2,Z_459] : ( multiply(inverse(X_2),multiply(X_2,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_63834]) ).
tff(c_64770,plain,
! [X_481,Z_482] : ( multiply(inverse(X_481),multiply(X_481,Z_482)) = Z_482 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63888]) ).
tff(c_64800,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_64684,c_64770]) ).
tff(c_64923,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_64800]) ).
tff(c_63741,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_63722,c_50]) ).
tff(c_64955,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_64923,c_63741]) ).
tff(c_65080,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_64955,c_4]) ).
tff(c_63903,plain,
! [X_2,Z_459] : ( multiply(inverse(X_2),multiply(X_2,Z_459)) = Z_459 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63888]) ).
tff(c_65097,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_65080,c_63903]) ).
tff(c_65109,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_65097]) ).
tff(c_65113,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65109,c_64955]) ).
tff(c_82,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_63756,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_60969,c_82]) ).
tff(c_63760,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_63756,c_4]) ).
tff(c_84,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_63764,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_60969,c_84]) ).
tff(c_63768,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_63764,c_4]) ).
tff(c_63864,plain,
! [Z_459] : ( multiply(sk_c8,multiply(sk_c6,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_63768,c_63834]) ).
tff(c_64552,plain,
! [Z_475] : ( multiply(sk_c8,multiply(sk_c6,Z_475)) = Z_475 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63864]) ).
tff(c_64570,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_63760,c_64552]) ).
tff(c_80,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_63795,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_60969,c_80]) ).
tff(c_64688,plain,
! [Z_480] : ( multiply(sk_c8,multiply(sk_c10,Z_480)) = multiply(sk_c11,Z_480) ),
inference(superposition,[status(thm),theory(equality)],[c_63795,c_63834]) ).
tff(c_64718,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_129,c_64688]) ).
tff(c_64724,plain,
multiply(sk_c11,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_64570,c_64718]) ).
tff(c_64942,plain,
multiply(identity,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_64923,c_64724]) ).
tff(c_64961,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64942]) ).
tff(c_60968,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_60973,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_60968,c_4]) ).
tff(c_64715,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_60973,c_64688]) ).
tff(c_64723,plain,
multiply(sk_c11,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_64570,c_64715]) ).
tff(c_64943,plain,
multiply(identity,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_64923,c_64723]) ).
tff(c_64962,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64943]) ).
tff(c_65049,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_64961,c_64962]) ).
tff(c_68,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_63825,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_60969,c_68]) ).
tff(c_63745,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_63741,c_4]) ).
tff(c_63870,plain,
! [Z_459] : ( multiply(sk_c11,multiply(sk_c3,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_63745,c_63834]) ).
tff(c_64589,plain,
! [Z_476] : ( multiply(sk_c11,multiply(sk_c3,Z_476)) = Z_476 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63870]) ).
tff(c_64604,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_63825,c_64589]) ).
tff(c_64815,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_64604,c_64770]) ).
tff(c_64925,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_64815]) ).
tff(c_64977,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_64925,c_60968]) ).
tff(c_65121,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65049,c_64977]) ).
tff(c_64989,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_64961,c_63756]) ).
tff(c_65172,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65121,c_64989]) ).
tff(c_64944,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_64923,c_64684]) ).
tff(c_64963,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_64570,c_64944]) ).
tff(c_65030,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_64961,c_64963]) ).
tff(c_65036,plain,
inverse(sk_c6) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_65030,c_63764]) ).
tff(c_65173,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_65172,c_65036]) ).
tff(c_65219,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65113,c_65173]) ).
tff(c_64958,plain,
multiply(sk_c2,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_64923,c_60969]) ).
tff(c_65272,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65219,c_64925,c_64958]) ).
tff(c_65274,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_65361,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_65274,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_65325,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_65274,c_34]) ).
tff(c_65329,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65325,c_4]) ).
tff(c_65428,plain,
! [Z_488] : ( multiply(sk_c10,multiply(sk_c4,Z_488)) = multiply(identity,Z_488) ),
inference(superposition,[status(thm),theory(equality)],[c_65329,c_65398]) ).
tff(c_65462,plain,
! [Z_489] : ( multiply(sk_c10,multiply(sk_c4,Z_489)) = Z_489 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65428]) ).
tff(c_65474,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_65361,c_65462]) ).
tff(c_68389,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_65474,c_68368]) ).
tff(c_68408,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_68389]) ).
tff(c_44,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_65300,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_65274,c_44]) ).
tff(c_65304,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65300,c_4]) ).
tff(c_46,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_65376,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_65274,c_46]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_65351,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_65274,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_65287,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_65274,c_38]) ).
tff(c_65291,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65287,c_4]) ).
tff(c_65437,plain,
! [Z_488] : ( multiply(sk_c8,multiply(sk_c5,Z_488)) = multiply(identity,Z_488) ),
inference(superposition,[status(thm),theory(equality)],[c_65291,c_65398]) ).
tff(c_67443,plain,
! [Z_525] : ( multiply(sk_c8,multiply(sk_c5,Z_525)) = Z_525 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65437]) ).
tff(c_67455,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_65351,c_67443]) ).
tff(c_67466,plain,
! [Z_526] : ( multiply(sk_c7,multiply(sk_c8,Z_526)) = multiply(sk_c6,Z_526) ),
inference(superposition,[status(thm),theory(equality)],[c_65376,c_65398]) ).
tff(c_67481,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_67455,c_67466]) ).
tff(c_67509,plain,
multiply(sk_c6,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_65376,c_67481]) ).
tff(c_65434,plain,
! [Z_488] : ( multiply(sk_c8,multiply(sk_c6,Z_488)) = multiply(identity,Z_488) ),
inference(superposition,[status(thm),theory(equality)],[c_65304,c_65398]) ).
tff(c_65456,plain,
! [Z_488] : ( multiply(sk_c8,multiply(sk_c6,Z_488)) = Z_488 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65434]) ).
tff(c_67525,plain,
multiply(sk_c8,sk_c6) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_67509,c_65456]) ).
tff(c_67531,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65304,c_67525]) ).
tff(c_65616,plain,
! [X_495,Z_496] : ( multiply(inverse(X_495),multiply(X_495,Z_496)) = Z_496 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65446]) ).
tff(c_65664,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_65474,c_65616]) ).
tff(c_65735,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_65664]) ).
tff(c_28,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_65346,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_65274,c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_65312,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_65274,c_30]) ).
tff(c_65316,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65312,c_4]) ).
tff(c_65431,plain,
! [Z_488] : ( multiply(sk_c11,multiply(sk_c3,Z_488)) = multiply(identity,Z_488) ),
inference(superposition,[status(thm),theory(equality)],[c_65316,c_65398]) ).
tff(c_65510,plain,
! [Z_491] : ( multiply(sk_c11,multiply(sk_c3,Z_491)) = Z_491 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65431]) ).
tff(c_65522,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_65346,c_65510]) ).
tff(c_65652,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_65522,c_65616]) ).
tff(c_65734,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_65652]) ).
tff(c_65569,plain,
! [Z_493] : ( multiply(sk_c8,multiply(sk_c5,Z_493)) = Z_493 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65437]) ).
tff(c_65581,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_65351,c_65569]) ).
tff(c_65640,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_65581,c_65616]) ).
tff(c_65731,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_65640]) ).
tff(c_65509,plain,
multiply(sk_c10,sk_c11) != sk_c9,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_65749,plain,
multiply(sk_c10,identity) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_65731,c_65509]) ).
tff(c_66156,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_65735,c_2,c_65734,c_65749]) ).
tff(c_66158,plain,
multiply(sk_c10,sk_c11) = sk_c9,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_66162,plain,
! [Z_5] : ( multiply(sk_c10,multiply(sk_c11,Z_5)) = multiply(sk_c9,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_66158,c_6]) ).
tff(c_68582,plain,
! [Z_5] : ( multiply(sk_c10,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68408,c_2,c_67531,c_66162]) ).
tff(c_68410,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_68408,c_65474]) ).
tff(c_68584,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68582,c_68410]) ).
tff(c_67653,plain,
! [X_528,Z_529] : ( multiply(inverse(X_528),multiply(X_528,Z_529)) = Z_529 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65446]) ).
tff(c_67955,plain,
! [X_532,Z_533] : ( multiply(inverse(inverse(X_532)),Z_533) = multiply(X_532,Z_533) ),
inference(superposition,[status(thm),theory(equality)],[c_65460,c_67653]) ).
tff(c_67698,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_67653]) ).
tff(c_67962,plain,
! [X_532] : ( multiply(X_532,identity) = X_532 ),
inference(superposition,[status(thm),theory(equality)],[c_67955,c_67698]) ).
tff(c_67546,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_67531,c_65312]) ).
tff(c_67640,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_67546,c_4]) ).
tff(c_67749,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_67640,c_65460]) ).
tff(c_67761,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_67749]) ).
tff(c_65422,plain,
! [Z_488] : ( multiply(sk_c3,multiply(sk_c11,Z_488)) = multiply(sk_c10,Z_488) ),
inference(superposition,[status(thm),theory(equality)],[c_65346,c_65398]) ).
tff(c_67802,plain,
! [Z_488] : ( multiply(sk_c10,Z_488) = Z_488 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_67761,c_2,c_67531,c_65422]) ).
tff(c_67686,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_65474,c_67653]) ).
tff(c_67707,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_67686]) ).
tff(c_67711,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_67707,c_65474]) ).
tff(c_67803,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_67802,c_67711]) ).
tff(c_66949,plain,
! [Z_517] : ( multiply(sk_c8,multiply(sk_c5,Z_517)) = Z_517 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65437]) ).
tff(c_66961,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_65351,c_66949]) ).
tff(c_66972,plain,
! [Z_518] : ( multiply(sk_c5,multiply(sk_c8,Z_518)) = multiply(sk_c11,Z_518) ),
inference(superposition,[status(thm),theory(equality)],[c_65351,c_65398]) ).
tff(c_66987,plain,
multiply(sk_c5,sk_c8) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_66961,c_66972]) ).
tff(c_67018,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_65351,c_66987]) ).
tff(c_66829,plain,
! [Z_514] : ( multiply(sk_c11,multiply(sk_c3,Z_514)) = Z_514 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65431]) ).
tff(c_66841,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_65346,c_66829]) ).
tff(c_40,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_65338,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_65274,c_40]) ).
tff(c_67008,plain,
multiply(sk_c5,sk_c11) = multiply(sk_c11,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_65338,c_66972]) ).
tff(c_67020,plain,
multiply(sk_c5,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_66841,c_67008]) ).
tff(c_65457,plain,
! [Z_488] : ( multiply(sk_c8,multiply(sk_c5,Z_488)) = Z_488 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65437]) ).
tff(c_67024,plain,
multiply(sk_c8,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_67020,c_65457]) ).
tff(c_67039,plain,
sk_c8 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_67024,c_66961]) ).
tff(c_65273,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_65278,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65273,c_4]) ).
tff(c_65440,plain,
! [Z_488] : ( multiply(sk_c6,multiply(sk_c7,Z_488)) = multiply(identity,Z_488) ),
inference(superposition,[status(thm),theory(equality)],[c_65278,c_65398]) ).
tff(c_66852,plain,
! [Z_515] : ( multiply(sk_c6,multiply(sk_c7,Z_515)) = Z_515 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65440]) ).
tff(c_66867,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_65376,c_66852]) ).
tff(c_66905,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_66867,c_65456]) ).
tff(c_67054,plain,
multiply(sk_c11,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_67039,c_67039,c_66905]) ).
tff(c_67067,plain,
sk_c6 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_67018,c_67054]) ).
tff(c_67063,plain,
inverse(sk_c6) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_67039,c_65300]) ).
tff(c_67102,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_67067,c_67063]) ).
tff(c_67106,plain,
multiply(sk_c11,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_67102,c_4]) ).
tff(c_67124,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_67106,c_67018]) ).
tff(c_66167,plain,
! [Z_501] : ( multiply(sk_c11,multiply(sk_c3,Z_501)) = Z_501 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65431]) ).
tff(c_66179,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_65346,c_66167]) ).
tff(c_66452,plain,
! [X_508,Z_509] : ( multiply(inverse(X_508),multiply(X_508,Z_509)) = Z_509 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65446]) ).
tff(c_66485,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_66179,c_66452]) ).
tff(c_66536,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_66485]) ).
tff(c_66552,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66536,c_125]) ).
tff(c_66663,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_66552,c_4]) ).
tff(c_66670,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_66663,c_65460]) ).
tff(c_66682,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_66670]) ).
tff(c_66494,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_65474,c_66452]) ).
tff(c_66537,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_66494]) ).
tff(c_66544,plain,
multiply(identity,sk_c11) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_66536,c_66158]) ).
tff(c_66553,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66544]) ).
tff(c_66563,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66537,c_66553]) ).
tff(c_65485,plain,
! [Z_490] : ( multiply(sk_c8,multiply(sk_c6,Z_490)) = Z_490 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65434]) ).
tff(c_65497,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_65278,c_65485]) ).
tff(c_66209,plain,
! [Z_503] : ( multiply(sk_c8,multiply(sk_c10,Z_503)) = multiply(sk_c11,Z_503) ),
inference(superposition,[status(thm),theory(equality)],[c_65338,c_65398]) ).
tff(c_66233,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_129,c_66209]) ).
tff(c_66239,plain,
multiply(sk_c11,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_65497,c_66233]) ).
tff(c_66568,plain,
multiply(identity,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_66563,c_66239]) ).
tff(c_66575,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66568]) ).
tff(c_66230,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_65329,c_66209]) ).
tff(c_66238,plain,
multiply(sk_c11,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_65497,c_66230]) ).
tff(c_66569,plain,
multiply(identity,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_66563,c_66238]) ).
tff(c_66576,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66569]) ).
tff(c_66625,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_66575,c_66576]) ).
tff(c_66687,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66682,c_66625]) ).
tff(c_66550,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66536,c_65325]) ).
tff(c_66705,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66687,c_66550]) ).
tff(c_66343,plain,
! [Z_507] : ( multiply(sk_c5,multiply(sk_c8,Z_507)) = multiply(sk_c11,Z_507) ),
inference(superposition,[status(thm),theory(equality)],[c_65351,c_65398]) ).
tff(c_66379,plain,
multiply(sk_c5,sk_c11) = multiply(sk_c11,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_65338,c_66343]) ).
tff(c_66391,plain,
multiply(sk_c5,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_66179,c_66379]) ).
tff(c_66395,plain,
multiply(sk_c8,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_66391,c_65457]) ).
tff(c_66320,plain,
! [Z_506] : ( multiply(sk_c8,multiply(sk_c5,Z_506)) = Z_506 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65437]) ).
tff(c_66332,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_65351,c_66320]) ).
tff(c_66410,plain,
sk_c8 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_66395,c_66332]) ).
tff(c_66565,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66563,c_66410]) ).
tff(c_66157,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != 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_66278,plain,
! [X7_504,X5_505] :
( ( inverse(multiply(X7_504,inverse(X5_505))) != inverse(X5_505) )
| ( multiply(X7_504,inverse(X5_505)) != inverse(X7_504) )
| ( multiply(inverse(X5_505),sk_c10) != sk_c11 )
| ( multiply(X5_505,inverse(X5_505)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_66157]) ).
tff(c_66289,plain,
! [X7_504] :
( ( inverse(multiply(X7_504,sk_c8)) != inverse(sk_c5) )
| ( multiply(X7_504,inverse(sk_c5)) != inverse(X7_504) )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_65287,c_66278]) ).
tff(c_66307,plain,
! [X7_504] :
( ( inverse(multiply(X7_504,sk_c8)) != sk_c8 )
| ( multiply(X7_504,sk_c8) != inverse(X7_504) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65351,c_65287,c_65338,c_65287,c_65287,c_65287,c_66289]) ).
tff(c_66807,plain,
! [X7_513] :
( ( inverse(multiply(X7_513,identity)) != identity )
| ( multiply(X7_513,identity) != inverse(X7_513) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66565,c_66565,c_66565,c_66307]) ).
tff(c_66818,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_66807]) ).
tff(c_66827,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_66705,c_66705,c_4,c_66705,c_66818]) ).
tff(c_66828,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_c10 )
| ( multiply(X4_13,sk_c10) != sk_c11 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_66157]) ).
tff(c_67081,plain,
! [X3_519] :
( ( multiply(X3_519,sk_c10) != sk_c11 )
| ( inverse(X3_519) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_66828]) ).
tff(c_67100,plain,
inverse(sk_c11) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_66841,c_67081]) ).
tff(c_67229,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_67124,c_67124,c_67100]) ).
tff(c_67136,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_67124,c_67124,c_67102]) ).
tff(c_67249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67229,c_67136]) ).
tff(c_67250,plain,
! [X4_13,X1_10,X2_11] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != 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_66828]) ).
tff(c_67406,plain,
! [X2_523] :
( ( inverse(X2_523) != sk_c10 )
| ( multiply(X2_523,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_67250]) ).
tff(c_67413,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_65361,c_67406]) ).
tff(c_67425,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_65325,c_67413]) ).
tff(c_67426,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_67250]) ).
tff(c_67581,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67531,c_67531,c_67531,c_67426]) ).
tff(c_67582,plain,
! [X4_13] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != identity ) ),
inference(splitLeft,[status(thm)],[c_67581]) ).
tff(c_68352,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_67962,c_67803,c_67803,c_67582]) ).
tff(c_67765,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_67761,c_67546]) ).
tff(c_68354,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68352,c_67765]) ).
tff(c_68355,plain,
! [X1_10] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_67581]) ).
tff(c_69145,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_68760,c_68584,c_68355]) ).
tff(c_68585,plain,
! [Z_546] : ( multiply(sk_c10,Z_546) = Z_546 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68408,c_2,c_67531,c_66162]) ).
tff(c_68600,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_68585,c_129]) ).
tff(c_66871,plain,
! [Z_516] : ( multiply(sk_c8,multiply(sk_c10,Z_516)) = multiply(sk_c11,Z_516) ),
inference(superposition,[status(thm),theory(equality)],[c_65338,c_65398]) ).
tff(c_66895,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_129,c_66871]) ).
tff(c_66901,plain,
multiply(sk_c11,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_65497,c_66895]) ).
tff(c_67536,plain,
multiply(identity,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_67531,c_66901]) ).
tff(c_67549,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_67536]) ).
tff(c_67575,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_67549,c_65273]) ).
tff(c_67576,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_67575]) ).
tff(c_67534,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_67531,c_67455]) ).
tff(c_67548,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_65497,c_67534]) ).
tff(c_67565,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_67548,c_65300]) ).
tff(c_68469,plain,
inverse(sk_c10) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_67576,c_67549,c_67565]) ).
tff(c_68617,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_68584,c_68469]) ).
tff(c_68657,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68600,c_68617]) ).
tff(c_69147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69145,c_68657]) ).
tff(c_69149,plain,
inverse(sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_104,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_69199,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_69149,c_104]) ).
tff(c_69203,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69199,c_4]) ).
tff(c_106,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_69261,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_69149,c_106]) ).
tff(c_96,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_69247,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_69149,c_96]) ).
tff(c_98,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_69173,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_69149,c_98]) ).
tff(c_69177,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69173,c_4]) ).
tff(c_69324,plain,
! [Z_560] : ( multiply(sk_c8,multiply(sk_c5,Z_560)) = multiply(identity,Z_560) ),
inference(superposition,[status(thm),theory(equality)],[c_69177,c_69285]) ).
tff(c_70796,plain,
! [Z_585] : ( multiply(sk_c8,multiply(sk_c5,Z_585)) = Z_585 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69324]) ).
tff(c_70808,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_69247,c_70796]) ).
tff(c_71437,plain,
! [Z_594] : ( multiply(sk_c7,multiply(sk_c8,Z_594)) = multiply(sk_c6,Z_594) ),
inference(superposition,[status(thm),theory(equality)],[c_69261,c_69285]) ).
tff(c_71452,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_70808,c_71437]) ).
tff(c_71474,plain,
multiply(sk_c6,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_69261,c_71452]) ).
tff(c_69318,plain,
! [Z_560] : ( multiply(sk_c8,multiply(sk_c6,Z_560)) = multiply(identity,Z_560) ),
inference(superposition,[status(thm),theory(equality)],[c_69203,c_69285]) ).
tff(c_71509,plain,
! [Z_595] : ( multiply(sk_c8,multiply(sk_c6,Z_595)) = Z_595 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69318]) ).
tff(c_71527,plain,
multiply(sk_c8,sk_c6) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_71474,c_71509]) ).
tff(c_71540,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69203,c_71527]) ).
tff(c_88,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_69241,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_69149,c_88]) ).
tff(c_90,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_69187,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_69149,c_90]) ).
tff(c_69191,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69187,c_4]) ).
tff(c_69321,plain,
! [Z_560] : ( multiply(sk_c11,multiply(sk_c3,Z_560)) = multiply(identity,Z_560) ),
inference(superposition,[status(thm),theory(equality)],[c_69191,c_69285]) ).
tff(c_70819,plain,
! [Z_586] : ( multiply(sk_c11,multiply(sk_c3,Z_586)) = Z_586 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69321]) ).
tff(c_70831,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_69241,c_70819]) ).
tff(c_71651,plain,
multiply(identity,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_71540,c_71540,c_70831]) ).
tff(c_72495,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_71651,c_2]) ).
tff(c_71815,plain,
! [X_597,Z_598] : ( multiply(inverse(X_597),multiply(X_597,Z_598)) = Z_598 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69333]) ).
tff(c_72084,plain,
! [X_600,Z_601] : ( multiply(inverse(inverse(X_600)),Z_601) = multiply(X_600,Z_601) ),
inference(superposition,[status(thm),theory(equality)],[c_69347,c_71815]) ).
tff(c_71851,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_71815]) ).
tff(c_72091,plain,
! [X_600] : ( multiply(X_600,identity) = X_600 ),
inference(superposition,[status(thm),theory(equality)],[c_72084,c_71851]) ).
tff(c_71745,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_71651,c_2]) ).
tff(c_94,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_69211,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_69149,c_94]) ).
tff(c_92,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_69227,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_69149,c_92]) ).
tff(c_70976,plain,
! [X_590,Z_591] : ( multiply(inverse(X_590),multiply(X_590,Z_591)) = Z_591 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69333]) ).
tff(c_71027,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_70808,c_70976]) ).
tff(c_71118,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_71027]) ).
tff(c_71021,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_70831,c_70976]) ).
tff(c_71117,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_71021]) ).
tff(c_69215,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69211,c_4]) ).
tff(c_69315,plain,
! [Z_560] : ( multiply(sk_c10,multiply(sk_c4,Z_560)) = multiply(identity,Z_560) ),
inference(superposition,[status(thm),theory(equality)],[c_69215,c_69285]) ).
tff(c_69349,plain,
! [Z_561] : ( multiply(sk_c10,multiply(sk_c4,Z_561)) = Z_561 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69315]) ).
tff(c_69361,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_69227,c_69349]) ).
tff(c_70313,plain,
! [X_577,Z_578] : ( multiply(inverse(X_577),multiply(X_577,Z_578)) = Z_578 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69333]) ).
tff(c_70346,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_69361,c_70313]) ).
tff(c_70397,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_70346]) ).
tff(c_70122,plain,
! [Z_572] : ( multiply(sk_c11,multiply(sk_c3,Z_572)) = Z_572 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69321]) ).
tff(c_70134,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_69241,c_70122]) ).
tff(c_70334,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_70134,c_70313]) ).
tff(c_70395,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_70334]) ).
tff(c_69412,plain,
! [X_564,Z_565] : ( multiply(inverse(X_564),multiply(X_564,Z_565)) = Z_565 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69333]) ).
tff(c_69451,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_69247,c_69412]) ).
tff(c_69510,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_69173,c_69451]) ).
tff(c_69527,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_69510,c_69347]) ).
tff(c_69533,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_69527]) ).
tff(c_69454,plain,
multiply(inverse(sk_c3),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_69241,c_69412]) ).
tff(c_69511,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_69187,c_69454]) ).
tff(c_69614,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69533,c_2,c_69533,c_69511]) ).
tff(c_69439,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_69361,c_69412]) ).
tff(c_69508,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_69439]) ).
tff(c_69365,plain,
multiply(sk_c10,sk_c11) != sk_c9,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_69518,plain,
multiply(sk_c10,sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_69508,c_69365]) ).
tff(c_70017,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69614,c_69533,c_69518]) ).
tff(c_70019,plain,
multiply(sk_c10,sk_c11) = sk_c9,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_70406,plain,
multiply(identity,sk_c11) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_70395,c_70019]) ).
tff(c_70413,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70406]) ).
tff(c_70423,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70397,c_70413]) ).
tff(c_70427,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70423,c_69187]) ).
tff(c_70490,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_70427,c_4]) ).
tff(c_70540,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_70490,c_69347]) ).
tff(c_70552,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_70540]) ).
tff(c_70556,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70552,c_70427]) ).
tff(c_70411,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70395,c_69211]) ).
tff(c_69148,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_69154,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69148,c_4]) ).
tff(c_70178,plain,
! [Z_575] : ( multiply(sk_c8,multiply(sk_c6,Z_575)) = Z_575 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69318]) ).
tff(c_70196,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_69154,c_70178]) ).
tff(c_100,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_69236,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_69149,c_100]) ).
tff(c_70058,plain,
! [Z_570] : ( multiply(sk_c8,multiply(sk_c10,Z_570)) = multiply(sk_c11,Z_570) ),
inference(superposition,[status(thm),theory(equality)],[c_69236,c_69285]) ).
tff(c_70079,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_69215,c_70058]) ).
tff(c_70200,plain,
multiply(sk_c11,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_70196,c_70079]) ).
tff(c_70424,plain,
multiply(identity,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_70423,c_70200]) ).
tff(c_70430,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70424]) ).
tff(c_70474,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_70430,c_69148]) ).
tff(c_70522,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70411,c_70474]) ).
tff(c_69330,plain,
! [Z_560] : ( multiply(sk_c6,multiply(sk_c7,Z_560)) = multiply(identity,Z_560) ),
inference(superposition,[status(thm),theory(equality)],[c_69154,c_69285]) ).
tff(c_70035,plain,
! [Z_569] : ( multiply(sk_c6,multiply(sk_c7,Z_569)) = Z_569 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69330]) ).
tff(c_70047,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_69261,c_70035]) ).
tff(c_70209,plain,
! [Z_576] : ( multiply(sk_c7,multiply(sk_c8,Z_576)) = multiply(sk_c6,Z_576) ),
inference(superposition,[status(thm),theory(equality)],[c_69261,c_69285]) ).
tff(c_70242,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_69203,c_70209]) ).
tff(c_70250,plain,
multiply(sk_c7,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_70047,c_70242]) ).
tff(c_69346,plain,
! [Z_560] : ( multiply(sk_c6,multiply(sk_c7,Z_560)) = Z_560 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69330]) ).
tff(c_70261,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_70250,c_69346]) ).
tff(c_69342,plain,
! [Z_560] : ( multiply(sk_c8,multiply(sk_c6,Z_560)) = Z_560 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69318]) ).
tff(c_70282,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_70261,c_69342]) ).
tff(c_70288,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_70196,c_70282]) ).
tff(c_70305,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_70288,c_69199]) ).
tff(c_70575,plain,
inverse(identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_70522,c_70430,c_70305]) ).
tff(c_70591,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70556,c_70575]) ).
tff(c_70471,plain,
sk_c8 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_70430,c_70288]) ).
tff(c_70607,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70591,c_70471]) ).
tff(c_70018,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != 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_70138,plain,
! [X7_573,X5_574] :
( ( inverse(multiply(X7_573,inverse(X5_574))) != inverse(X5_574) )
| ( multiply(X7_573,inverse(X5_574)) != inverse(X7_573) )
| ( multiply(inverse(X5_574),sk_c10) != sk_c11 )
| ( multiply(X5_574,inverse(X5_574)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_70018]) ).
tff(c_70149,plain,
! [X7_573] :
( ( inverse(multiply(X7_573,sk_c8)) != inverse(sk_c5) )
| ( multiply(X7_573,inverse(sk_c5)) != inverse(X7_573) )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_69173,c_70138]) ).
tff(c_70166,plain,
! [X7_573] :
( ( inverse(multiply(X7_573,sk_c8)) != sk_c8 )
| ( multiply(X7_573,sk_c8) != inverse(X7_573) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69247,c_69173,c_69236,c_69173,c_69173,c_69173,c_70149]) ).
tff(c_70707,plain,
! [X7_582] :
( ( inverse(multiply(X7_582,identity)) != identity )
| ( multiply(X7_582,identity) != inverse(X7_582) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70607,c_70607,c_70607,c_70166]) ).
tff(c_70715,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_70707]) ).
tff(c_70723,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70556,c_70556,c_4,c_70556,c_70715]) ).
tff(c_70724,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_c10 )
| ( multiply(X4_13,sk_c10) != sk_c11 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_70018]) ).
tff(c_70940,plain,
! [X3_589] :
( ( multiply(X3_589,sk_c10) != sk_c11 )
| ( inverse(X3_589) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_70724]) ).
tff(c_70953,plain,
( ( sk_c9 != sk_c11 )
| ( inverse(sk_c4) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_69227,c_70940]) ).
tff(c_70964,plain,
( ( sk_c9 != sk_c11 )
| ( sk_c11 != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69211,c_70953]) ).
tff(c_70965,plain,
sk_c11 != sk_c10,
inference(splitLeft,[status(thm)],[c_70964]) ).
tff(c_71134,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_71117,c_70965]) ).
tff(c_71248,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71118,c_71134]) ).
tff(c_71250,plain,
sk_c11 = sk_c10,
inference(splitRight,[status(thm)],[c_70964]) ).
tff(c_71249,plain,
sk_c9 != sk_c11,
inference(splitRight,[status(thm)],[c_70964]) ).
tff(c_71276,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_71250,c_71249]) ).
tff(c_71257,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_71250,c_71250,c_70831]) ).
tff(c_71262,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_71250,c_70019]) ).
tff(c_71433,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_71257,c_71262]) ).
tff(c_71435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71276,c_71433]) ).
tff(c_71436,plain,
! [X4_13,X1_10,X2_11] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != 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_70724]) ).
tff(c_71629,plain,
! [X2_596] :
( ( inverse(X2_596) != sk_c10 )
| ( multiply(X2_596,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_71436]) ).
tff(c_71636,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_69227,c_71629]) ).
tff(c_71648,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_69211,c_71636]) ).
tff(c_71649,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_71436]) ).
tff(c_71737,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71540,c_71540,c_71540,c_71649]) ).
tff(c_71738,plain,
! [X4_13] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != identity ) ),
inference(splitLeft,[status(thm)],[c_71737]) ).
tff(c_72485,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_72091,c_71745,c_71745,c_71738]) ).
tff(c_71662,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_71540,c_69187]) ).
tff(c_71674,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_71662,c_4]) ).
tff(c_71691,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_71674,c_2]) ).
tff(c_71700,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_71691,c_71662]) ).
tff(c_72487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72485,c_71700]) ).
tff(c_72488,plain,
! [X1_10] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_71737]) ).
tff(c_73310,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_72916,c_72495,c_72488]) ).
tff(c_73312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73310,c_71700]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP338-1 : 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 : n017.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 21:49:36 EDT 2023
% 0.13/0.35 % CPUTime :
% 20.32/8.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.63/8.91
% 20.63/8.91 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 21.04/8.98
% 21.04/8.98 Inference rules
% 21.04/8.98 ----------------------
% 21.04/8.98 #Ref : 0
% 21.04/8.98 #Sup : 17911
% 21.04/8.98 #Fact : 0
% 21.04/8.98 #Define : 0
% 21.04/8.98 #Split : 40
% 21.04/8.98 #Chain : 0
% 21.04/8.98 #Close : 0
% 21.04/8.98
% 21.04/8.98 Ordering : KBO
% 21.04/8.98
% 21.04/8.98 Simplification rules
% 21.04/8.98 ----------------------
% 21.04/8.98 #Subsume : 10
% 21.04/8.98 #Demod : 57686
% 21.04/8.98 #Tautology : 14581
% 21.04/8.98 #SimpNegUnit : 113
% 21.04/8.98 #BackRed : 1031
% 21.04/8.98
% 21.04/8.98 #Partial instantiations: 0
% 21.04/8.98 #Strategies tried : 1
% 21.04/8.98
% 21.04/8.98 Timing (in seconds)
% 21.04/8.98 ----------------------
% 21.04/8.99 Preprocessing : 0.61
% 21.04/8.99 Parsing : 0.24
% 21.04/8.99 CNF conversion : 0.03
% 21.04/8.99 Main loop : 7.08
% 21.04/8.99 Inferencing : 1.71
% 21.04/8.99 Reduction : 4.32
% 21.04/8.99 Demodulation : 4.06
% 21.04/8.99 BG Simplification : 0.14
% 21.04/8.99 Subsumption : 0.59
% 21.04/8.99 Abstraction : 0.39
% 21.04/8.99 MUC search : 0.00
% 21.04/8.99 Cooper : 0.00
% 21.04/8.99 Total : 7.84
% 21.04/8.99 Index Insertion : 0.00
% 21.04/8.99 Index Deletion : 0.00
% 21.04/8.99 Index Matching : 0.00
% 21.04/8.99 BG Taut test : 0.00
%------------------------------------------------------------------------------