TSTP Solution File: GRP271-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP271-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:43 EDT 2023
% Result : Unsatisfiable 19.95s 9.24s
% Output : CNFRefutation 20.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 50
% Syntax : Number of formulae : 556 ( 436 unt; 14 typ; 0 def)
% Number of atoms : 774 ( 753 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 474 ( 242 ~; 232 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 285 (; 285 !; 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_89,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_257,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( multiply(X3,sk_c11) != sk_c10 )
| ( inverse(X3) != sk_c11 )
| ( multiply(sk_c11,sk_c9) != sk_c10 )
| ( multiply(X4,sk_c10) != sk_c9 )
| ( 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_137,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c3) = sk_c11 ) ),
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_110,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
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_113,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = 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_194,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
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(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_85899,plain,
! [X_696,Y_697,Z_698] : ( multiply(multiply(X_696,Y_697),Z_698) = multiply(X_696,multiply(Y_697,Z_698)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_85947,plain,
! [X_2,Z_698] : ( multiply(inverse(X_2),multiply(X_2,Z_698)) = multiply(identity,Z_698) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_85899]) ).
tff(c_90630,plain,
! [X_781,Z_782] : ( multiply(inverse(X_781),multiply(X_781,Z_782)) = Z_782 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85947]) ).
tff(c_85961,plain,
! [X_2,Z_698] : ( multiply(inverse(X_2),multiply(X_2,Z_698)) = Z_698 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85947]) ).
tff(c_91013,plain,
! [X_785,Z_786] : ( multiply(inverse(inverse(X_785)),Z_786) = multiply(X_785,Z_786) ),
inference(superposition,[status(thm),theory(equality)],[c_90630,c_85961]) ).
tff(c_90714,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_90630]) ).
tff(c_91020,plain,
! [X_785] : ( multiply(X_785,identity) = X_785 ),
inference(superposition,[status(thm),theory(equality)],[c_91013,c_90714]) ).
tff(c_55631,plain,
! [X_464,Y_465,Z_466] : ( multiply(multiply(X_464,Y_465),Z_466) = multiply(X_464,multiply(Y_465,Z_466)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_55679,plain,
! [X_2,Z_466] : ( multiply(inverse(X_2),multiply(X_2,Z_466)) = multiply(identity,Z_466) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_55631]) ).
tff(c_57841,plain,
! [X_507,Z_508] : ( multiply(inverse(X_507),multiply(X_507,Z_508)) = Z_508 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55679]) ).
tff(c_55693,plain,
! [X_2,Z_466] : ( multiply(inverse(X_2),multiply(X_2,Z_466)) = Z_466 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55679]) ).
tff(c_58182,plain,
! [X_510,Z_511] : ( multiply(inverse(inverse(X_510)),Z_511) = multiply(X_510,Z_511) ),
inference(superposition,[status(thm),theory(equality)],[c_57841,c_55693]) ).
tff(c_57940,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_57841]) ).
tff(c_58189,plain,
! [X_510] : ( multiply(X_510,identity) = X_510 ),
inference(superposition,[status(thm),theory(equality)],[c_58182,c_57940]) ).
tff(c_24,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_53439,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_42,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_137,plain,
inverse(sk_c1) = sk_c11,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_141,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_137,c_4]) ).
tff(c_53549,plain,
! [X_421,Y_422,Z_423] : ( multiply(multiply(X_421,Y_422),Z_423) = multiply(X_421,multiply(Y_422,Z_423)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_53600,plain,
! [Z_423] : ( multiply(sk_c11,multiply(sk_c1,Z_423)) = multiply(identity,Z_423) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_53549]) ).
tff(c_53623,plain,
! [Z_424] : ( multiply(sk_c11,multiply(sk_c1,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53600]) ).
tff(c_53635,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_53439,c_53623]) ).
tff(c_53835,plain,
! [Z_430] : ( multiply(sk_c1,multiply(sk_c11,Z_430)) = multiply(sk_c10,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_53439,c_53549]) ).
tff(c_53850,plain,
multiply(sk_c10,sk_c10) = multiply(sk_c1,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_53635,c_53835]) ).
tff(c_53866,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_53439,c_53850]) ).
tff(c_53606,plain,
! [X_2,Z_423] : ( multiply(inverse(X_2),multiply(X_2,Z_423)) = multiply(identity,Z_423) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53549]) ).
tff(c_54133,plain,
! [X_436,Z_437] : ( multiply(inverse(X_436),multiply(X_436,Z_437)) = Z_437 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53606]) ).
tff(c_54184,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_53866,c_54133]) ).
tff(c_54225,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54184]) ).
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_54254,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54225,c_129]) ).
tff(c_53621,plain,
! [X_2,Z_423] : ( multiply(inverse(X_2),multiply(X_2,Z_423)) = Z_423 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53606]) ).
tff(c_54412,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_54254,c_53621]) ).
tff(c_54424,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54412]) ).
tff(c_209,plain,
! [X_16,Y_17,Z_18] : ( multiply(multiply(X_16,Y_17),Z_18) = multiply(X_16,multiply(Y_17,Z_18)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_239,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_209]) ).
tff(c_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_297,plain,
! [X_21,Z_22] : ( multiply(inverse(X_21),multiply(X_21,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).
tff(c_29137,plain,
! [X_221,Z_222] : ( multiply(inverse(inverse(X_221)),Z_222) = multiply(X_221,Z_222) ),
inference(superposition,[status(thm),theory(equality)],[c_249,c_297]) ).
tff(c_351,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_297]) ).
tff(c_29148,plain,
! [X_221] : ( multiply(X_221,identity) = X_221 ),
inference(superposition,[status(thm),theory(equality)],[c_29137,c_351]) ).
tff(c_167,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_233,plain,
! [Z_18] : ( multiply(sk_c11,multiply(sk_c1,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_209]) ).
tff(c_251,plain,
! [Z_19] : ( multiply(sk_c11,multiply(sk_c1,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_233]) ).
tff(c_263,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_167,c_251]) ).
tff(c_321,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_263,c_297]) ).
tff(c_359,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_321]) ).
tff(c_74,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_162,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_74]) ).
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_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_162,c_274]) ).
tff(c_315,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_286,c_297]) ).
tff(c_358,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_315]) ).
tff(c_58,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_175,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_470,plain,
multiply(sk_c11,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_175]) ).
tff(c_28991,plain,
multiply(sk_c11,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_470]) ).
tff(c_477,plain,
multiply(sk_c11,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_263]) ).
tff(c_28992,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28991,c_477]) ).
tff(c_479,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_129]) ).
tff(c_577,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_479,c_249]) ).
tff(c_589,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_577]) ).
tff(c_480,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_125]) ).
tff(c_594,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_589,c_480]) ).
tff(c_764,plain,
! [X_27,Z_28] : ( multiply(inverse(inverse(X_27)),Z_28) = multiply(X_27,Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_297,c_249]) ).
tff(c_775,plain,
! [X_27] : ( multiply(X_27,identity) = X_27 ),
inference(superposition,[status(thm),theory(equality)],[c_764,c_351]) ).
tff(c_789,plain,
! [X_27] : ( multiply(X_27,inverse(X_27)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_764,c_4]) ).
tff(c_617,plain,
multiply(sk_c11,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_470]) ).
tff(c_618,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_617,c_477]) ).
tff(c_816,plain,
! [X_29] : ( multiply(X_29,identity) = X_29 ),
inference(superposition,[status(thm),theory(equality)],[c_764,c_351]) ).
tff(c_830,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_816,c_351]) ).
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_1048,plain,
! [X_34,Y_35,Z_36] : ( multiply(inverse(multiply(X_34,Y_35)),multiply(X_34,multiply(Y_35,Z_36))) = Z_36 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_297]) ).
tff(c_1096,plain,
! [X_34,X_27] : ( multiply(inverse(multiply(X_34,X_27)),multiply(X_34,identity)) = inverse(X_27) ),
inference(superposition,[status(thm),theory(equality)],[c_789,c_1048]) ).
tff(c_1551,plain,
! [X_45,X_46] : ( multiply(inverse(multiply(X_45,X_46)),X_45) = inverse(X_46) ),
inference(demodulation,[status(thm),theory(equality)],[c_775,c_1096]) ).
tff(c_2106,plain,
! [Z_54,X_55] : ( multiply(inverse(Z_54),inverse(X_55)) = inverse(multiply(X_55,Z_54)) ),
inference(superposition,[status(thm),theory(equality)],[c_249,c_1551]) ).
tff(c_2198,plain,
! [X_55,X_2] : ( inverse(multiply(X_55,inverse(X_2))) = multiply(X_2,inverse(X_55)) ),
inference(superposition,[status(thm),theory(equality)],[c_830,c_2106]) ).
tff(c_376,plain,
multiply(sk_c1,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_167]) ).
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_c9 )
| ( multiply(sk_c11,sk_c9) != sk_c10 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_365,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175,c_108]) ).
tff(c_366,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_365]) ).
tff(c_433,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_359,c_366]) ).
tff(c_452,plain,
inverse(sk_c1) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_376,c_433]) ).
tff(c_467,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137,c_452]) ).
tff(c_468,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_365]) ).
tff(c_572,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(X4_13) != identity )
| ( multiply(X4_13,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),identity) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_359,c_359,c_358,c_359,c_359,c_359,c_358,c_359,c_468]) ).
tff(c_573,plain,
! [X7_9,X5_6] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),identity) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_572]) ).
tff(c_28829,plain,
! [X5_216,X7_217] :
( ( multiply(X5_216,inverse(X7_217)) != inverse(X5_216) )
| ( multiply(X7_217,inverse(X5_216)) != inverse(X7_217) )
| ( inverse(X5_216) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_789,c_618,c_775,c_618,c_2198,c_573]) ).
tff(c_28897,plain,
! [X7_217] :
( ( inverse(identity) != inverse(X7_217) )
| ( multiply(X7_217,inverse(identity)) != inverse(X7_217) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_28829]) ).
tff(c_28925,plain,
! [X7_218] :
( ( inverse(X7_218) != identity )
| ( inverse(X7_218) != X7_218 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_594,c_775,c_594,c_594,c_28897]) ).
tff(c_28937,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_594,c_28925]) ).
tff(c_28946,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_594,c_28937]) ).
tff(c_28947,plain,
! [X2_11,X1_10,X4_13] :
( ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X4_13) != identity )
| ( multiply(X4_13,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_572]) ).
tff(c_50508,plain,
! [X2_11,X1_10,X4_13] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X4_13) != identity )
| ( identity != X4_13 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29148,c_29148,c_28992,c_28992,c_29148,c_28947]) ).
tff(c_50510,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_50508]) ).
tff(c_354,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_297]) ).
tff(c_28951,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_479,c_249]) ).
tff(c_28963,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_354,c_28951]) ).
tff(c_28968,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28963,c_480]) ).
tff(c_50512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50510,c_28968]) ).
tff(c_50513,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_50508]) ).
tff(c_50515,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_50513]) ).
tff(c_50517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50515,c_28968]) ).
tff(c_51270,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_50513]) ).
tff(c_51272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51270,c_28968]) ).
tff(c_51273,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_51274,plain,
multiply(sk_c11,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_51348,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_51274,c_56]) ).
tff(c_51379,plain,
! [X_385,Y_386,Z_387] : ( multiply(multiply(X_385,Y_386),Z_387) = multiply(X_385,multiply(Y_386,Z_387)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_51436,plain,
! [X_2,Z_387] : ( multiply(inverse(X_2),multiply(X_2,Z_387)) = multiply(identity,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51379]) ).
tff(c_51523,plain,
! [X_391,Z_392] : ( multiply(inverse(X_391),multiply(X_391,Z_392)) = Z_392 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51436]) ).
tff(c_51574,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_51348,c_51523]) ).
tff(c_51637,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_51273,c_51574]) ).
tff(c_51451,plain,
! [X_2,Z_387] : ( multiply(inverse(X_2),multiply(X_2,Z_387)) = Z_387 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51436]) ).
tff(c_51773,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_51637,c_51451]) ).
tff(c_51779,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51773]) ).
tff(c_51430,plain,
! [Z_387] : ( multiply(sk_c11,multiply(sk_c1,Z_387)) = multiply(identity,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_51379]) ).
tff(c_51453,plain,
! [Z_388] : ( multiply(sk_c11,multiply(sk_c1,Z_388)) = Z_388 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51430]) ).
tff(c_51465,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_167,c_51453]) ).
tff(c_51553,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_51465,c_51523]) ).
tff(c_51633,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51553]) ).
tff(c_51433,plain,
! [Z_387] : ( multiply(sk_c10,multiply(sk_c2,Z_387)) = multiply(identity,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_51379]) ).
tff(c_51476,plain,
! [Z_389] : ( multiply(sk_c10,multiply(sk_c2,Z_389)) = Z_389 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51433]) ).
tff(c_51488,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_162,c_51476]) ).
tff(c_51547,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_51488,c_51523]) ).
tff(c_51632,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51547]) ).
tff(c_51646,plain,
multiply(sk_c11,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_51632,c_51274]) ).
tff(c_52157,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51779,c_51633,c_51646]) ).
tff(c_52159,plain,
multiply(sk_c1,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_52255,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_52159,c_16]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_52197,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_52159,c_18]) ).
tff(c_52201,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52197,c_4]) ).
tff(c_52272,plain,
! [X_396,Y_397,Z_398] : ( multiply(multiply(X_396,Y_397),Z_398) = multiply(X_396,multiply(Y_397,Z_398)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_52308,plain,
! [Z_398] : ( multiply(sk_c8,multiply(sk_c5,Z_398)) = multiply(identity,Z_398) ),
inference(superposition,[status(thm),theory(equality)],[c_52201,c_52272]) ).
tff(c_52574,plain,
! [Z_409] : ( multiply(sk_c8,multiply(sk_c5,Z_409)) = Z_409 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52308]) ).
tff(c_52586,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52255,c_52574]) ).
tff(c_52329,plain,
! [X_2,Z_398] : ( multiply(inverse(X_2),multiply(X_2,Z_398)) = multiply(identity,Z_398) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_52272]) ).
tff(c_52862,plain,
! [X_415,Z_416] : ( multiply(inverse(X_415),multiply(X_415,Z_416)) = Z_416 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52329]) ).
tff(c_52913,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_52586,c_52862]) ).
tff(c_53036,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52913]) ).
tff(c_53088,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53036,c_137]) ).
tff(c_53266,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53088,c_4]) ).
tff(c_52344,plain,
! [X_2,Z_398] : ( multiply(inverse(X_2),multiply(X_2,Z_398)) = Z_398 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52329]) ).
tff(c_53350,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_53266,c_52344]) ).
tff(c_53362,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53350]) ).
tff(c_8,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_52248,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_52159,c_8]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_52225,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_52159,c_10]) ).
tff(c_52229,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52225,c_4]) ).
tff(c_52302,plain,
! [Z_398] : ( multiply(sk_c11,multiply(sk_c3,Z_398)) = multiply(identity,Z_398) ),
inference(superposition,[status(thm),theory(equality)],[c_52229,c_52272]) ).
tff(c_52460,plain,
! [Z_404] : ( multiply(sk_c11,multiply(sk_c3,Z_404)) = Z_404 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52302]) ).
tff(c_52472,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_52248,c_52460]) ).
tff(c_52940,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_52472,c_52862]) ).
tff(c_53039,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52940]) ).
tff(c_53086,plain,
multiply(sk_c1,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_53036,c_52159]) ).
tff(c_53429,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53362,c_53039,c_53086]) ).
tff(c_53431,plain,
multiply(sk_c2,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_72,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_53521,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_53431,c_72]) ).
tff(c_53430,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_53435,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53430,c_4]) ).
tff(c_53594,plain,
! [Z_423] : ( multiply(sk_c10,multiply(sk_c4,Z_423)) = multiply(identity,Z_423) ),
inference(superposition,[status(thm),theory(equality)],[c_53435,c_53549]) ).
tff(c_53914,plain,
! [Z_432] : ( multiply(sk_c10,multiply(sk_c4,Z_432)) = Z_432 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53594]) ).
tff(c_53926,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_53521,c_53914]) ).
tff(c_54178,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_53926,c_54133]) ).
tff(c_54224,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54178]) ).
tff(c_54232,plain,
multiply(sk_c2,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_54224,c_53431]) ).
tff(c_54370,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_54225,c_54232]) ).
tff(c_54428,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_54424,c_54370]) ).
tff(c_54433,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54428]) ).
tff(c_54434,plain,
inverse(sk_c6) = sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_54439,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54434,c_4]) ).
tff(c_86,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_54521,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_53431,c_86]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_54532,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_53431,c_76]) ).
tff(c_54435,plain,
multiply(sk_c1,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_54486,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_54435,c_18]) ).
tff(c_54490,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54486,c_4]) ).
tff(c_54551,plain,
! [X_439,Y_440,Z_441] : ( multiply(multiply(X_439,Y_440),Z_441) = multiply(X_439,multiply(Y_440,Z_441)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_54581,plain,
! [Z_441] : ( multiply(sk_c8,multiply(sk_c5,Z_441)) = multiply(identity,Z_441) ),
inference(superposition,[status(thm),theory(equality)],[c_54490,c_54551]) ).
tff(c_54792,plain,
! [Z_451] : ( multiply(sk_c8,multiply(sk_c5,Z_451)) = Z_451 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54581]) ).
tff(c_54804,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_54532,c_54792]) ).
tff(c_54928,plain,
! [Z_457] : ( multiply(sk_c7,multiply(sk_c8,Z_457)) = multiply(sk_c6,Z_457) ),
inference(superposition,[status(thm),theory(equality)],[c_54521,c_54551]) ).
tff(c_54949,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_54804,c_54928]) ).
tff(c_54965,plain,
multiply(sk_c6,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_54521,c_54949]) ).
tff(c_54593,plain,
! [Z_441] : ( multiply(sk_c8,multiply(sk_c6,Z_441)) = multiply(identity,Z_441) ),
inference(superposition,[status(thm),theory(equality)],[c_54439,c_54551]) ).
tff(c_54616,plain,
! [Z_441] : ( multiply(sk_c8,multiply(sk_c6,Z_441)) = Z_441 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54593]) ).
tff(c_54991,plain,
multiply(sk_c8,sk_c6) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54965,c_54616]) ).
tff(c_54997,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54439,c_54991]) ).
tff(c_54516,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_54435,c_8]) ).
tff(c_70,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_54478,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_53431,c_70]) ).
tff(c_54482,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54478,c_4]) ).
tff(c_54584,plain,
! [Z_441] : ( multiply(sk_c11,multiply(sk_c3,Z_441)) = multiply(identity,Z_441) ),
inference(superposition,[status(thm),theory(equality)],[c_54482,c_54551]) ).
tff(c_54828,plain,
! [Z_453] : ( multiply(sk_c11,multiply(sk_c3,Z_453)) = Z_453 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54584]) ).
tff(c_54840,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54516,c_54828]) ).
tff(c_55000,plain,
multiply(identity,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54997,c_54997,c_54840]) ).
tff(c_55370,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_55000,c_2]) ).
tff(c_55013,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54997,c_137]) ).
tff(c_55116,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55013,c_4]) ).
tff(c_54605,plain,
! [X_2,Z_441] : ( multiply(inverse(X_2),multiply(X_2,Z_441)) = multiply(identity,Z_441) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_54551]) ).
tff(c_54620,plain,
! [X_2,Z_441] : ( multiply(inverse(X_2),multiply(X_2,Z_441)) = Z_441 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54605]) ).
tff(c_55254,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_55116,c_54620]) ).
tff(c_55266,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55254]) ).
tff(c_55011,plain,
multiply(sk_c1,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_54997,c_54435]) ).
tff(c_55505,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55370,c_2,c_55266,c_55011]) ).
tff(c_55507,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_28,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_55591,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_55507,c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_55559,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_55507,c_30]) ).
tff(c_55563,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55559,c_4]) ).
tff(c_55661,plain,
! [Z_466] : ( multiply(sk_c11,multiply(sk_c3,Z_466)) = multiply(identity,Z_466) ),
inference(superposition,[status(thm),theory(equality)],[c_55563,c_55631]) ).
tff(c_55695,plain,
! [Z_467] : ( multiply(sk_c11,multiply(sk_c3,Z_467)) = Z_467 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55661]) ).
tff(c_55707,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_55591,c_55695]) ).
tff(c_57895,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_55707,c_57841]) ).
tff(c_57954,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_57895]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_55547,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_55507,c_38]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_55580,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_55507,c_36]) ).
tff(c_57910,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_55580,c_57841]) ).
tff(c_57957,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_55547,c_57910]) ).
tff(c_58026,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_57957,c_55693]) ).
tff(c_58035,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_58026]) ).
tff(c_57118,plain,
! [X_493,Z_494] : ( multiply(inverse(X_493),multiply(X_493,Z_494)) = Z_494 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55679]) ).
tff(c_57427,plain,
! [X_497,Z_498] : ( multiply(inverse(inverse(X_497)),Z_498) = multiply(X_497,Z_498) ),
inference(superposition,[status(thm),theory(equality)],[c_57118,c_55693]) ).
tff(c_57172,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_57118]) ).
tff(c_57434,plain,
! [X_497] : ( multiply(X_497,identity) = X_497 ),
inference(superposition,[status(thm),theory(equality)],[c_57427,c_57172]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_55521,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_55507,c_34]) ).
tff(c_55525,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55521,c_4]) ).
tff(c_55506,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_55511,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55506,c_4]) ).
tff(c_44,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_55535,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_55507,c_44]) ).
tff(c_55539,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55535,c_4]) ).
tff(c_55667,plain,
! [Z_466] : ( multiply(sk_c8,multiply(sk_c6,Z_466)) = multiply(identity,Z_466) ),
inference(superposition,[status(thm),theory(equality)],[c_55539,c_55631]) ).
tff(c_56045,plain,
! [Z_475] : ( multiply(sk_c8,multiply(sk_c6,Z_475)) = Z_475 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55667]) ).
tff(c_56057,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_55511,c_56045]) ).
tff(c_40,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_55573,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_55507,c_40]) ).
tff(c_56733,plain,
! [Z_487] : ( multiply(sk_c8,multiply(sk_c10,Z_487)) = multiply(sk_c11,Z_487) ),
inference(superposition,[status(thm),theory(equality)],[c_55573,c_55631]) ).
tff(c_56748,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_55525,c_56733]) ).
tff(c_56756,plain,
multiply(sk_c11,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_56057,c_56748]) ).
tff(c_55652,plain,
! [Z_466] : ( multiply(sk_c3,multiply(sk_c11,Z_466)) = multiply(sk_c10,Z_466) ),
inference(superposition,[status(thm),theory(equality)],[c_55591,c_55631]) ).
tff(c_56761,plain,
multiply(sk_c3,sk_c7) = multiply(sk_c10,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_56756,c_55652]) ).
tff(c_56767,plain,
multiply(sk_c3,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55525,c_56761]) ).
tff(c_55687,plain,
! [Z_466] : ( multiply(sk_c11,multiply(sk_c3,Z_466)) = Z_466 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55661]) ).
tff(c_56783,plain,
multiply(sk_c11,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_56767,c_55687]) ).
tff(c_56795,plain,
multiply(sk_c3,sk_c7) = multiply(sk_c10,identity),
inference(superposition,[status(thm),theory(equality)],[c_56783,c_55652]) ).
tff(c_56801,plain,
multiply(sk_c10,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56767,c_56795]) ).
tff(c_56930,plain,
! [Z_5] : ( multiply(sk_c10,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_56801,c_6]) ).
tff(c_56934,plain,
! [Z_5] : ( multiply(sk_c10,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_56930]) ).
tff(c_56942,plain,
! [Z_491] : ( multiply(sk_c10,Z_491) = Z_491 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_56930]) ).
tff(c_56963,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_129,c_56942]) ).
tff(c_57018,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_56963,c_125]) ).
tff(c_56951,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_56942,c_55525]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_55600,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_55507,c_32]) ).
tff(c_56968,plain,
multiply(identity,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_56951,c_55600]) ).
tff(c_56972,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56968]) ).
tff(c_55755,plain,
! [X_470,Z_471] : ( multiply(inverse(X_470),multiply(X_470,Z_471)) = Z_471 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55679]) ).
tff(c_55782,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_55707,c_55755]) ).
tff(c_55850,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55782]) ).
tff(c_55551,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55547,c_4]) ).
tff(c_55664,plain,
! [Z_466] : ( multiply(sk_c8,multiply(sk_c5,Z_466)) = multiply(identity,Z_466) ),
inference(superposition,[status(thm),theory(equality)],[c_55551,c_55631]) ).
tff(c_55732,plain,
! [Z_469] : ( multiply(sk_c8,multiply(sk_c5,Z_469)) = Z_469 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55664]) ).
tff(c_55744,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_55580,c_55732]) ).
tff(c_55773,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_55744,c_55755]) ).
tff(c_55849,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55773]) ).
tff(c_55711,plain,
multiply(sk_c11,sk_c9) != sk_c10,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_55861,plain,
multiply(identity,sk_c9) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55849,c_55711]) ).
tff(c_55869,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55861]) ).
tff(c_55884,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_55850,c_55869]) ).
tff(c_55794,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_55600,c_55755]) ).
tff(c_55852,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55521,c_55794]) ).
tff(c_55991,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55850,c_2,c_55850,c_55852]) ).
tff(c_55992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55884,c_55991]) ).
tff(c_55994,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_57011,plain,
multiply(sk_c11,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_56972,c_55994]) ).
tff(c_57077,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_57011,c_55707]) ).
tff(c_57089,plain,
multiply(sk_c10,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_57077,c_56783]) ).
tff(c_57099,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56934,c_57089]) ).
tff(c_57111,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57099,c_55506]) ).
tff(c_57113,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_57018,c_57111]) ).
tff(c_46,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_55605,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_55507,c_46]) ).
tff(c_55673,plain,
! [Z_466] : ( multiply(sk_c6,multiply(sk_c7,Z_466)) = multiply(identity,Z_466) ),
inference(superposition,[status(thm),theory(equality)],[c_55511,c_55631]) ).
tff(c_56697,plain,
! [Z_486] : ( multiply(sk_c6,multiply(sk_c7,Z_486)) = Z_486 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55673]) ).
tff(c_56712,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_55605,c_56697]) ).
tff(c_57185,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_57113,c_57113,c_56712]) ).
tff(c_57189,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_56934,c_57185]) ).
tff(c_57188,plain,
inverse(sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_57113,c_55535]) ).
tff(c_57251,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_57189,c_57188]) ).
tff(c_57258,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57251,c_4]) ).
tff(c_57287,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_57258,c_55693]) ).
tff(c_57299,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56934,c_57251,c_57287]) ).
tff(c_56353,plain,
! [X_482,Z_483] : ( multiply(inverse(X_482),multiply(X_482,Z_483)) = Z_483 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55679]) ).
tff(c_56401,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_55707,c_56353]) ).
tff(c_56458,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_56401]) ).
tff(c_56128,plain,
! [Z_477] : ( multiply(sk_c8,multiply(sk_c10,Z_477)) = multiply(sk_c11,Z_477) ),
inference(superposition,[status(thm),theory(equality)],[c_55573,c_55631]) ).
tff(c_56143,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_55525,c_56128]) ).
tff(c_56151,plain,
multiply(sk_c11,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_56057,c_56143]) ).
tff(c_56156,plain,
multiply(sk_c3,sk_c7) = multiply(sk_c10,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_56151,c_55652]) ).
tff(c_56162,plain,
multiply(sk_c3,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55525,c_56156]) ).
tff(c_56178,plain,
multiply(sk_c11,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_56162,c_55687]) ).
tff(c_56190,plain,
multiply(sk_c3,sk_c7) = multiply(sk_c10,identity),
inference(superposition,[status(thm),theory(equality)],[c_56178,c_55652]) ).
tff(c_56196,plain,
multiply(sk_c10,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56162,c_56190]) ).
tff(c_56239,plain,
! [Z_5] : ( multiply(sk_c10,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_56196,c_6]) ).
tff(c_56251,plain,
! [Z_480] : ( multiply(sk_c10,Z_480) = Z_480 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_56239]) ).
tff(c_56275,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_129,c_56251]) ).
tff(c_56333,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_56275,c_125]) ).
tff(c_56483,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56458,c_56333]) ).
tff(c_56416,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_55580,c_56353]) ).
tff(c_56461,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_55547,c_56416]) ).
tff(c_56533,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_56461,c_55693]) ).
tff(c_56542,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_56533]) ).
tff(c_56546,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_56542,c_56178]) ).
tff(c_56553,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56546]) ).
tff(c_56545,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_56542,c_56461]) ).
tff(c_56552,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_56057,c_56545]) ).
tff(c_56572,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56553,c_56552]) ).
tff(c_55993,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( 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_56199,plain,
! [X7_478,X5_479] :
( ( inverse(multiply(X7_478,inverse(X5_479))) != inverse(X5_479) )
| ( multiply(X7_478,inverse(X5_479)) != inverse(X7_478) )
| ( multiply(inverse(X5_479),sk_c10) != sk_c11 )
| ( multiply(X5_479,inverse(X5_479)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_55993]) ).
tff(c_56206,plain,
! [X7_478] :
( ( inverse(multiply(X7_478,sk_c8)) != inverse(sk_c5) )
| ( multiply(X7_478,inverse(sk_c5)) != inverse(X7_478) )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_55547,c_56199]) ).
tff(c_56225,plain,
! [X7_478] :
( ( inverse(multiply(X7_478,sk_c8)) != sk_c8 )
| ( multiply(X7_478,sk_c8) != inverse(X7_478) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55580,c_55547,c_55573,c_55547,c_55547,c_55547,c_56206]) ).
tff(c_56675,plain,
! [X7_485] :
( ( inverse(multiply(X7_485,identity)) != identity )
| ( multiply(X7_485,identity) != inverse(X7_485) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56572,c_56572,c_56572,c_56225]) ).
tff(c_56686,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_56675]) ).
tff(c_56695,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56483,c_56483,c_4,c_56483,c_56686]) ).
tff(c_56696,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_c9 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_55993]) ).
tff(c_56899,plain,
! [X3_490] :
( ( inverse(X3_490) != sk_c11 )
| ( multiply(X3_490,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_56696]) ).
tff(c_56910,plain,
inverse(sk_c3) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_55591,c_56899]) ).
tff(c_56922,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55559,c_56910]) ).
tff(c_56923,plain,
! [X4_13,X1_10,X2_11] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( 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_56696]) ).
tff(c_57035,plain,
! [X4_13,X1_10,X2_11] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56972,c_56972,c_56923]) ).
tff(c_57036,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_57035]) ).
tff(c_57822,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_57434,c_57299,c_57299,c_57299,c_57036]) ).
tff(c_57318,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57299,c_57018]) ).
tff(c_57824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57822,c_57318]) ).
tff(c_57825,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_c10 ) ),
inference(splitRight,[status(thm)],[c_57035]) ).
tff(c_85753,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X4_13) != identity )
| ( identity != X4_13 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58189,c_57954,c_57954,c_57954,c_58189,c_58035,c_57954,c_58035,c_57825]) ).
tff(c_85755,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_85753]) ).
tff(c_57963,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57954,c_57018]) ).
tff(c_85757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85755,c_57963]) ).
tff(c_85759,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_85753]) ).
tff(c_85761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85759,c_57963]) ).
tff(c_85763,plain,
inverse(sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_100,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_85850,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_85763,c_100]) ).
tff(c_98,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_85787,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_85763,c_98]) ).
tff(c_96,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_85861,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_85763,c_96]) ).
tff(c_86026,plain,
! [X_702,Z_703] : ( multiply(inverse(X_702),multiply(X_702,Z_703)) = Z_703 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85947]) ).
tff(c_86065,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_85861,c_86026]) ).
tff(c_86124,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_85787,c_86065]) ).
tff(c_86141,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_86124,c_85961]) ).
tff(c_86147,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_86141]) ).
tff(c_90,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_85801,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_85763,c_90]) ).
tff(c_88,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_85855,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_85763,c_88]) ).
tff(c_86068,plain,
multiply(inverse(sk_c3),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_85855,c_86026]) ).
tff(c_86125,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_85801,c_86068]) ).
tff(c_86228,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_86147,c_2,c_86147,c_86125]) ).
tff(c_92,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_85841,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_85763,c_92]) ).
tff(c_94,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_85825,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_85763,c_94]) ).
tff(c_85829,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85825,c_4]) ).
tff(c_85929,plain,
! [Z_698] : ( multiply(sk_c10,multiply(sk_c4,Z_698)) = multiply(identity,Z_698) ),
inference(superposition,[status(thm),theory(equality)],[c_85829,c_85899]) ).
tff(c_85963,plain,
! [Z_699] : ( multiply(sk_c10,multiply(sk_c4,Z_699)) = Z_699 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85929]) ).
tff(c_85975,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_85841,c_85963]) ).
tff(c_86053,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_85975,c_86026]) ).
tff(c_86122,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_86053]) ).
tff(c_85979,plain,
multiply(sk_c11,sk_c9) != sk_c10,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_86132,plain,
multiply(sk_c11,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_86122,c_85979]) ).
tff(c_86631,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_86228,c_2,c_86147,c_86132]) ).
tff(c_86633,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_89724,plain,
! [Z_766] : ( multiply(sk_c8,multiply(sk_c10,Z_766)) = multiply(sk_c11,Z_766) ),
inference(superposition,[status(thm),theory(equality)],[c_85850,c_85899]) ).
tff(c_89736,plain,
multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_85975,c_89724]) ).
tff(c_89746,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_85850,c_86633,c_89736]) ).
tff(c_85791,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85787,c_4]) ).
tff(c_85938,plain,
! [Z_698] : ( multiply(sk_c8,multiply(sk_c5,Z_698)) = multiply(identity,Z_698) ),
inference(superposition,[status(thm),theory(equality)],[c_85791,c_85899]) ).
tff(c_89541,plain,
! [Z_761] : ( multiply(sk_c8,multiply(sk_c5,Z_761)) = Z_761 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85938]) ).
tff(c_89553,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_85861,c_89541]) ).
tff(c_89749,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_89746,c_89553]) ).
tff(c_90651,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_89749,c_90630]) ).
tff(c_90722,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_90651]) ).
tff(c_89879,plain,
! [X_767,Z_768] : ( multiply(inverse(X_767),multiply(X_767,Z_768)) = Z_768 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85947]) ).
tff(c_90173,plain,
! [X_770,Z_771] : ( multiply(inverse(inverse(X_770)),Z_771) = multiply(X_770,Z_771) ),
inference(superposition,[status(thm),theory(equality)],[c_89879,c_85961]) ).
tff(c_89945,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_89879]) ).
tff(c_90180,plain,
! [X_770] : ( multiply(X_770,identity) = X_770 ),
inference(superposition,[status(thm),theory(equality)],[c_90173,c_89945]) ).
tff(c_89755,plain,
multiply(sk_c8,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_89746,c_85850]) ).
tff(c_89832,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_89755,c_89749]) ).
tff(c_89840,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_89832,c_89755]) ).
tff(c_89897,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_89840,c_89879]) ).
tff(c_89952,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_89897]) ).
tff(c_89924,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_85975,c_89879]) ).
tff(c_89955,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_89924]) ).
tff(c_104,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_85813,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_85763,c_104]) ).
tff(c_85817,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85813,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_85875,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_85763,c_106]) ).
tff(c_89346,plain,
! [Z_757] : ( multiply(sk_c8,multiply(sk_c5,Z_757)) = Z_757 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85938]) ).
tff(c_89358,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_85861,c_89346]) ).
tff(c_85914,plain,
! [Z_698] : ( multiply(sk_c7,multiply(sk_c8,Z_698)) = multiply(sk_c6,Z_698) ),
inference(superposition,[status(thm),theory(equality)],[c_85875,c_85899]) ).
tff(c_89396,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_89358,c_85914]) ).
tff(c_89402,plain,
multiply(sk_c6,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_85875,c_89396]) ).
tff(c_85932,plain,
! [Z_698] : ( multiply(sk_c8,multiply(sk_c6,Z_698)) = multiply(identity,Z_698) ),
inference(superposition,[status(thm),theory(equality)],[c_85817,c_85899]) ).
tff(c_85956,plain,
! [Z_698] : ( multiply(sk_c8,multiply(sk_c6,Z_698)) = Z_698 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85932]) ).
tff(c_89407,plain,
multiply(sk_c8,sk_c6) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_89402,c_85956]) ).
tff(c_89413,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_85817,c_89407]) ).
tff(c_89424,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_89413,c_85801]) ).
tff(c_89421,plain,
multiply(sk_c3,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_89413,c_85855]) ).
tff(c_86844,plain,
! [X_712,Z_713] : ( multiply(inverse(X_712),multiply(X_712,Z_713)) = Z_713 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85947]) ).
tff(c_86892,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_85975,c_86844]) ).
tff(c_86932,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_86892]) ).
tff(c_86936,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_86932,c_85975]) ).
tff(c_86672,plain,
! [Z_708] : ( multiply(sk_c8,multiply(sk_c10,Z_708)) = multiply(sk_c11,Z_708) ),
inference(superposition,[status(thm),theory(equality)],[c_85850,c_85899]) ).
tff(c_86684,plain,
multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_85975,c_86672]) ).
tff(c_86694,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_86633,c_85850,c_86684]) ).
tff(c_86699,plain,
multiply(sk_c8,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_86694,c_85850]) ).
tff(c_86697,plain,
multiply(sk_c5,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_86694,c_85861]) ).
tff(c_86877,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_86697,c_86844]) ).
tff(c_86930,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_86699,c_85787,c_86877]) ).
tff(c_85762,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_85768,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85762,c_4]) ).
tff(c_86796,plain,
! [Z_711] : ( multiply(sk_c8,multiply(sk_c6,Z_711)) = Z_711 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85932]) ).
tff(c_86814,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_85768,c_86796]) ).
tff(c_86690,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_85829,c_86672]) ).
tff(c_86833,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_86814,c_85829,c_86694,c_86690]) ).
tff(c_86834,plain,
multiply(sk_c8,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_86833,c_86814]) ).
tff(c_87057,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_86936,c_86930,c_86834]) ).
tff(c_86948,plain,
inverse(sk_c6) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_86930,c_85813]) ).
tff(c_87001,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_86948,c_4]) ).
tff(c_87083,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87057,c_87001]) ).
tff(c_87060,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_87057,c_86948]) ).
tff(c_87105,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_87083,c_87060]) ).
tff(c_87359,plain,
! [X_718,Z_719] : ( multiply(inverse(inverse(X_718)),Z_719) = multiply(X_718,Z_719) ),
inference(superposition,[status(thm),theory(equality)],[c_85961,c_86844]) ).
tff(c_86922,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_86844]) ).
tff(c_87366,plain,
! [X_718] : ( multiply(X_718,identity) = X_718 ),
inference(superposition,[status(thm),theory(equality)],[c_87359,c_86922]) ).
tff(c_87062,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_87057,c_86930]) ).
tff(c_86632,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( 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_86641,plain,
! [X7_9,X5_6] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_86632]) ).
tff(c_86738,plain,
! [X7_709,X5_710] :
( ( inverse(multiply(X7_709,inverse(X5_710))) != inverse(X5_710) )
| ( multiply(X7_709,inverse(X5_710)) != inverse(X7_709) )
| ( multiply(inverse(X5_710),sk_c10) != sk_c10 )
| ( multiply(X5_710,inverse(X5_710)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86694,c_86694,c_86641]) ).
tff(c_86751,plain,
! [X7_709] :
( ( inverse(multiply(X7_709,sk_c8)) != inverse(sk_c5) )
| ( multiply(X7_709,inverse(sk_c5)) != inverse(X7_709) )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c10 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_85787,c_86738]) ).
tff(c_86767,plain,
! [X7_709] :
( ( inverse(multiply(X7_709,sk_c8)) != sk_c8 )
| ( multiply(X7_709,sk_c8) != inverse(X7_709) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86697,c_85787,c_86699,c_85787,c_85787,c_85787,c_86751]) ).
tff(c_89233,plain,
! [X7_753] :
( ( inverse(X7_753) != identity )
| ( inverse(X7_753) != X7_753 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87366,c_87062,c_87366,c_87062,c_87062,c_86767]) ).
tff(c_89241,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_87105,c_89233]) ).
tff(c_89248,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_87105,c_89241]) ).
tff(c_89249,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_c9 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_86632]) ).
tff(c_89322,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_89249]) ).
tff(c_89452,plain,
! [X3_8] :
( ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89413,c_89413,c_89322]) ).
tff(c_89507,plain,
inverse(sk_c3) != identity,
inference(superposition,[status(thm),theory(equality)],[c_89421,c_89452]) ).
tff(c_89516,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_89424,c_89507]) ).
tff(c_89517,plain,
! [X4_13,X1_10,X2_11] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( 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_89249]) ).
tff(c_89667,plain,
! [X2_764] :
( ( inverse(X2_764) != sk_c10 )
| ( multiply(X2_764,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_89517]) ).
tff(c_89674,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_85841,c_89667]) ).
tff(c_89686,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_85825,c_89674]) ).
tff(c_89687,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_c9 ) ),
inference(splitRight,[status(thm)],[c_89517]) ).
tff(c_89797,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89746,c_89746,c_89687]) ).
tff(c_89798,plain,
! [X4_13] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_89797]) ).
tff(c_90565,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_90180,c_89952,c_89955,c_89952,c_89798]) ).
tff(c_89290,plain,
! [Z_755] : ( multiply(sk_c8,multiply(sk_c6,Z_755)) = Z_755 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85932]) ).
tff(c_89302,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_85768,c_89290]) ).
tff(c_89742,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_85829,c_89724]) ).
tff(c_89747,plain,
multiply(sk_c11,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_89302,c_89742]) ).
tff(c_89779,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_85829,c_89746,c_89747]) ).
tff(c_89784,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_89779,c_85762]) ).
tff(c_89849,plain,
inverse(sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_89832,c_85787]) ).
tff(c_89864,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_89849,c_4]) ).
tff(c_89990,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89952,c_89864]) ).
tff(c_89973,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_89952,c_89849]) ).
tff(c_90024,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_89784,c_89990,c_89973]) ).
tff(c_89847,plain,
inverse(sk_c6) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_89832,c_85813]) ).
tff(c_89974,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_89952,c_89847]) ).
tff(c_90025,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_90024,c_89974]) ).
tff(c_90567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90565,c_90025]) ).
tff(c_90568,plain,
! [X1_10] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_89797]) ).
tff(c_91283,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_91020,c_90722,c_90722,c_90722,c_90568]) ).
tff(c_85944,plain,
! [Z_698] : ( multiply(sk_c6,multiply(sk_c7,Z_698)) = multiply(identity,Z_698) ),
inference(superposition,[status(thm),theory(equality)],[c_85768,c_85899]) ).
tff(c_85960,plain,
! [Z_698] : ( multiply(sk_c6,multiply(sk_c7,Z_698)) = Z_698 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85944]) ).
tff(c_89780,plain,
! [Z_698] : ( multiply(sk_c6,multiply(identity,Z_698)) = Z_698 ),
inference(demodulation,[status(thm),theory(equality)],[c_89779,c_85960]) ).
tff(c_89785,plain,
! [Z_698] : ( multiply(sk_c6,Z_698) = Z_698 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89780]) ).
tff(c_89695,plain,
! [Z_765] : ( multiply(sk_c6,multiply(sk_c7,Z_765)) = Z_765 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85944]) ).
tff(c_89710,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_85875,c_89695]) ).
tff(c_90615,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_89785,c_89710]) ).
tff(c_90732,plain,
multiply(sk_c6,sk_c10) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_90615,c_90615,c_89749]) ).
tff(c_90740,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_89785,c_90732]) ).
tff(c_90761,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_90740,c_89784]) ).
tff(c_90830,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_90722,c_90761]) ).
tff(c_91285,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91283,c_90830]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP271-1 : 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
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:09:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 19.95/9.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.16/9.31
% 20.16/9.31 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.53/9.38
% 20.53/9.38 Inference rules
% 20.53/9.38 ----------------------
% 20.53/9.38 #Ref : 0
% 20.53/9.38 #Sup : 22173
% 20.53/9.38 #Fact : 0
% 20.53/9.38 #Define : 0
% 20.53/9.38 #Split : 30
% 20.53/9.38 #Chain : 0
% 20.53/9.38 #Close : 0
% 20.53/9.38
% 20.53/9.38 Ordering : KBO
% 20.53/9.38
% 20.53/9.38 Simplification rules
% 20.53/9.38 ----------------------
% 20.53/9.38 #Subsume : 1
% 20.53/9.38 #Demod : 73856
% 20.53/9.38 #Tautology : 18132
% 20.53/9.38 #SimpNegUnit : 72
% 20.53/9.38 #BackRed : 704
% 20.53/9.38
% 20.53/9.38 #Partial instantiations: 0
% 20.53/9.38 #Strategies tried : 1
% 20.53/9.38
% 20.53/9.38 Timing (in seconds)
% 20.53/9.38 ----------------------
% 20.53/9.39 Preprocessing : 0.56
% 20.53/9.39 Parsing : 0.20
% 20.53/9.39 CNF conversion : 0.03
% 20.53/9.39 Main loop : 7.66
% 20.53/9.39 Inferencing : 1.98
% 20.53/9.39 Reduction : 4.56
% 20.53/9.39 Demodulation : 4.25
% 20.53/9.39 BG Simplification : 0.17
% 20.53/9.39 Subsumption : 0.65
% 20.53/9.39 Abstraction : 0.49
% 20.53/9.39 MUC search : 0.00
% 20.53/9.39 Cooper : 0.00
% 20.53/9.39 Total : 8.37
% 20.53/9.39 Index Insertion : 0.00
% 20.53/9.39 Index Deletion : 0.00
% 20.53/9.39 Index Matching : 0.00
% 20.53/9.39 BG Taut test : 0.00
%------------------------------------------------------------------------------