TSTP Solution File: GRP318-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP318-1 : 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 : n011.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 10:40:54 EDT 2023
% Result : Unsatisfiable 22.82s 10.55s
% Output : CNFRefutation 23.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 68
% Syntax : Number of formulae : 1230 (1018 unt; 15 typ; 0 def)
% Number of atoms : 1637 (1580 equ)
% Maximal formula atoms : 16 ( 1 avg)
% Number of connectives : 950 ( 528 ~; 422 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 577 (; 577 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c12 > sk_c11 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c11,type,
sk_c11: $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(sk_c12,type,
sk_c12: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c11,sk_c12) = sk_c10 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( multiply(sk_c2,sk_c12) = sk_c3 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_236,axiom,
( ( inverse(sk_c2) = sk_c12 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c12,sk_c3) = sk_c11 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( multiply(sk_c2,sk_c12) = sk_c3 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_290,axiom,
! [X5,X6,X3,X9,X7,X1,X2,X8,X4] :
( ( multiply(sk_c11,sk_c12) != sk_c10 )
| ( multiply(X4,sk_c11) != sk_c12 )
| ( inverse(X4) != sk_c11 )
| ( multiply(sk_c12,X5) != sk_c11 )
| ( multiply(X6,sk_c12) != X5 )
| ( inverse(X6) != sk_c12 )
| ( multiply(X1,sk_c12) != sk_c11 )
| ( inverse(X1) != sk_c12 )
| ( multiply(X2,sk_c11) != sk_c10 )
| ( inverse(X2) != sk_c11 )
| ( multiply(X7,X3) != sk_c12 )
| ( inverse(X7) != X3 )
| ( multiply(X3,sk_c11) != sk_c12 )
| ( inverse(X8) != X9 )
| ( inverse(X9) != X3 )
| ( multiply(X8,X3) != X9 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c2,sk_c12) = sk_c3 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( multiply(sk_c2,sk_c12) = sk_c3 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( multiply(sk_c2,sk_c12) = sk_c3 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( multiply(sk_c2,sk_c12) = sk_c3 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ( multiply(sk_c2,sk_c12) = sk_c3 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c12,sk_c3) = sk_c11 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( multiply(sk_c2,sk_c12) = sk_c3 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( multiply(sk_c12,sk_c3) = sk_c11 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c12,sk_c3) = sk_c11 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_212,axiom,
( ( multiply(sk_c2,sk_c12) = sk_c3 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c12,sk_c3) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c12,sk_c3) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c11,sk_c12) = sk_c10 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c11,sk_c12) = sk_c10 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c11,sk_c12) = sk_c10 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c11,sk_c12) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c11,sk_c12) = sk_c10 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
( ( inverse(sk_c2) = sk_c12 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_230,axiom,
( ( inverse(sk_c2) = sk_c12 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_218,axiom,
( ( inverse(sk_c2) = sk_c12 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_215,axiom,
( ( inverse(sk_c2) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ( inverse(sk_c2) = sk_c12 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
( ( inverse(sk_c2) = sk_c12 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_233,axiom,
( ( inverse(sk_c2) = sk_c12 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_242,axiom,
( ( inverse(sk_c2) = sk_c12 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_239,axiom,
( ( inverse(sk_c2) = sk_c12 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_66852,plain,
! [X_454,Y_455,Z_456] : ( multiply(multiply(X_454,Y_455),Z_456) = multiply(X_454,multiply(Y_455,Z_456)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_66909,plain,
! [X_2,Z_456] : ( multiply(inverse(X_2),multiply(X_2,Z_456)) = multiply(identity,Z_456) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_66852]) ).
tff(c_75501,plain,
! [X_562,Z_563] : ( multiply(inverse(X_562),multiply(X_562,Z_563)) = Z_563 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66909]) ).
tff(c_66924,plain,
! [X_2,Z_456] : ( multiply(inverse(X_2),multiply(X_2,Z_456)) = Z_456 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66909]) ).
tff(c_76139,plain,
! [X_569,Z_570] : ( multiply(inverse(inverse(X_569)),Z_570) = multiply(X_569,Z_570) ),
inference(superposition,[status(thm),theory(equality)],[c_75501,c_66924]) ).
tff(c_75594,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_75501]) ).
tff(c_76146,plain,
! [X_569] : ( multiply(X_569,identity) = X_569 ),
inference(superposition,[status(thm),theory(equality)],[c_76139,c_75594]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c11,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_177,plain,
multiply(sk_c11,sk_c12) = sk_c10,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_42,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_66238,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_62,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_157,plain,
inverse(sk_c1) = sk_c11,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_161,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_157,c_4]) ).
tff(c_66903,plain,
! [Z_456] : ( multiply(sk_c11,multiply(sk_c1,Z_456)) = multiply(identity,Z_456) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_66852]) ).
tff(c_67004,plain,
! [Z_459] : ( multiply(sk_c11,multiply(sk_c1,Z_459)) = Z_459 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66903]) ).
tff(c_67016,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_66238,c_67004]) ).
tff(c_67020,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_177,c_67016]) ).
tff(c_66323,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_66377,plain,
! [Z_446] : ( multiply(sk_c11,multiply(sk_c1,Z_446)) = multiply(identity,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_66323]) ).
tff(c_66400,plain,
! [Z_447] : ( multiply(sk_c11,multiply(sk_c1,Z_447)) = Z_447 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66377]) ).
tff(c_66412,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_66238,c_66400]) ).
tff(c_66416,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_177,c_66412]) ).
tff(c_66510,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_66416,c_177]) ).
tff(c_66383,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_66323]) ).
tff(c_66634,plain,
! [X_451,Z_452] : ( multiply(inverse(X_451),multiply(X_451,Z_452)) = Z_452 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66383]) ).
tff(c_66679,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_66510,c_66634]) ).
tff(c_66745,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_66679]) ).
tff(c_100,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( multiply(sk_c2,sk_c12) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_66283,plain,
multiply(sk_c2,sk_c12) = sk_c3,
inference(splitLeft,[status(thm)],[c_100]) ).
tff(c_122,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_145,plain,
inverse(sk_c2) = sk_c12,
inference(splitLeft,[status(thm)],[c_122]) ).
tff(c_149,plain,
multiply(sk_c12,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_145,c_4]) ).
tff(c_66380,plain,
! [Z_446] : ( multiply(sk_c12,multiply(sk_c2,Z_446)) = multiply(identity,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_66323]) ).
tff(c_66586,plain,
! [Z_449] : ( multiply(sk_c12,multiply(sk_c2,Z_449)) = Z_449 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66380]) ).
tff(c_66598,plain,
multiply(sk_c12,sk_c3) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_66283,c_66586]) ).
tff(c_74,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c12,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_182,plain,
multiply(sk_c12,sk_c3) = sk_c11,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_102,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c12) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_188,plain,
multiply(sk_c2,sk_c12) = sk_c3,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_60815,plain,
! [X_364,Y_365,Z_366] : ( multiply(multiply(X_364,Y_365),Z_366) = multiply(X_364,multiply(Y_365,Z_366)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_60872,plain,
! [Z_366] : ( multiply(sk_c12,multiply(sk_c2,Z_366)) = multiply(identity,Z_366) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_60815]) ).
tff(c_61169,plain,
! [Z_373] : ( multiply(sk_c12,multiply(sk_c2,Z_373)) = Z_373 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60872]) ).
tff(c_61181,plain,
multiply(sk_c12,sk_c3) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_188,c_61169]) ).
tff(c_61185,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_182,c_61181]) ).
tff(c_61196,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_61185,c_177]) ).
tff(c_38,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_200,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_243,plain,
! [X_17,Y_18,Z_19] : ( multiply(multiply(X_17,Y_18),Z_19) = multiply(X_17,multiply(Y_18,Z_19)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_270,plain,
! [Z_19] : ( multiply(sk_c11,multiply(sk_c1,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_243]) ).
tff(c_288,plain,
! [Z_20] : ( multiply(sk_c11,multiply(sk_c1,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_270]) ).
tff(c_300,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_200,c_288]) ).
tff(c_304,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_177,c_300]) ).
tff(c_308,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_304,c_177]) ).
tff(c_276,plain,
! [X_2,Z_19] : ( multiply(inverse(X_2),multiply(X_2,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_243]) ).
tff(c_672,plain,
! [X_27,Z_28] : ( multiply(inverse(X_27),multiply(X_27,Z_28)) = Z_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_276]) ).
tff(c_699,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_308,c_672]) ).
tff(c_725,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_699]) ).
tff(c_307,plain,
multiply(sk_c12,sk_c3) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_304,c_182]) ).
tff(c_708,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_188,c_672]) ).
tff(c_726,plain,
sk_c12 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_307,c_145,c_708]) ).
tff(c_737,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_725,c_726]) ).
tff(c_732,plain,
inverse(sk_c2) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_726,c_145]) ).
tff(c_789,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_737,c_732]) ).
tff(c_796,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_789,c_4]) ).
tff(c_286,plain,
! [X_2,Z_19] : ( multiply(inverse(X_2),multiply(X_2,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_276]) ).
tff(c_847,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_796,c_286]) ).
tff(c_859,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_847]) ).
tff(c_863,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_859,c_789]) ).
tff(c_951,plain,
! [X_31,Z_32] : ( multiply(inverse(inverse(X_31)),Z_32) = multiply(X_31,Z_32) ),
inference(superposition,[status(thm),theory(equality)],[c_672,c_286]) ).
tff(c_717,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_672]) ).
tff(c_958,plain,
! [X_31] : ( multiply(X_31,identity) = X_31 ),
inference(superposition,[status(thm),theory(equality)],[c_951,c_717]) ).
tff(c_972,plain,
! [X_31] : ( multiply(X_31,inverse(X_31)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_951,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_1214,plain,
! [X_38,Y_39,Z_40] : ( multiply(inverse(multiply(X_38,Y_39)),multiply(X_38,multiply(Y_39,Z_40))) = Z_40 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_672]) ).
tff(c_1293,plain,
! [X_38,X_2] : ( multiply(inverse(multiply(X_38,inverse(X_2))),multiply(X_38,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1214]) ).
tff(c_1334,plain,
! [X_41,X_42] : ( multiply(inverse(multiply(X_41,inverse(X_42))),X_41) = X_42 ),
inference(demodulation,[status(thm),theory(equality)],[c_958,c_1293]) ).
tff(c_965,plain,
! [X_31,Z_19] : ( multiply(X_31,multiply(inverse(X_31),Z_19)) = Z_19 ),
inference(superposition,[status(thm),theory(equality)],[c_951,c_286]) ).
tff(c_1354,plain,
! [X_41,X_42] : ( multiply(multiply(X_41,inverse(X_42)),X_42) = X_41 ),
inference(superposition,[status(thm),theory(equality)],[c_1334,c_965]) ).
tff(c_994,plain,
! [X_33] : ( multiply(X_33,identity) = X_33 ),
inference(superposition,[status(thm),theory(equality)],[c_951,c_717]) ).
tff(c_1032,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_717,c_994]) ).
tff(c_1262,plain,
! [X_38,X_31] : ( multiply(inverse(multiply(X_38,X_31)),multiply(X_38,identity)) = inverse(X_31) ),
inference(superposition,[status(thm),theory(equality)],[c_972,c_1214]) ).
tff(c_1588,plain,
! [X_47,X_48] : ( multiply(inverse(multiply(X_47,X_48)),X_47) = inverse(X_48) ),
inference(demodulation,[status(thm),theory(equality)],[c_958,c_1262]) ).
tff(c_1318,plain,
! [X_38,X_31] : ( multiply(inverse(multiply(X_38,X_31)),X_38) = inverse(X_31) ),
inference(demodulation,[status(thm),theory(equality)],[c_958,c_1262]) ).
tff(c_1591,plain,
! [X_48,X_47] : ( multiply(inverse(inverse(X_48)),inverse(multiply(X_47,X_48))) = inverse(X_47) ),
inference(superposition,[status(thm),theory(equality)],[c_1588,c_1318]) ).
tff(c_1700,plain,
! [X_49,X_50] : ( multiply(X_49,inverse(multiply(X_50,X_49))) = inverse(X_50) ),
inference(demodulation,[status(thm),theory(equality)],[c_1032,c_1591]) ).
tff(c_1757,plain,
! [X_41,X_42] : ( inverse(multiply(X_41,inverse(X_42))) = multiply(X_42,inverse(X_41)) ),
inference(superposition,[status(thm),theory(equality)],[c_1354,c_1700]) ).
tff(c_273,plain,
! [Z_19] : ( multiply(sk_c12,multiply(sk_c2,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_243]) ).
tff(c_355,plain,
! [Z_21] : ( multiply(sk_c12,multiply(sk_c2,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_273]) ).
tff(c_367,plain,
multiply(sk_c12,sk_c3) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_188,c_355]) ).
tff(c_371,plain,
sk_c12 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_307,c_367]) ).
tff(c_375,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_371,c_308]) ).
tff(c_458,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_375,c_286]) ).
tff(c_464,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_458]) ).
tff(c_378,plain,
inverse(sk_c2) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_371,c_145]) ).
tff(c_386,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_378,c_4]) ).
tff(c_477,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_464,c_386]) ).
tff(c_467,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_464,c_378]) ).
tff(c_490,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_477,c_467]) ).
tff(c_404,plain,
! [X_22,Z_23] : ( multiply(inverse(X_22),multiply(X_22,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_276]) ).
tff(c_565,plain,
! [X_24] : ( multiply(inverse(inverse(X_24)),identity) = X_24 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_404]) ).
tff(c_571,plain,
! [X_24] : ( multiply(inverse(inverse(inverse(X_24))),X_24) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_565,c_286]) ).
tff(c_468,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_464,c_371]) ).
tff(c_128,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X4_14) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 )
| ( multiply(sk_c11,sk_c12) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_290]) ).
tff(c_330,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c10) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c10 )
| ( multiply(X2_12,sk_c10) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c10 )
| ( inverse(X4_14) != sk_c10 )
| ( multiply(X4_14,sk_c10) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308,c_304,c_304,c_304,c_304,c_304,c_304,c_304,c_304,c_128]) ).
tff(c_331,plain,
! [X4_14] :
( ( inverse(X4_14) != sk_c10 )
| ( multiply(X4_14,sk_c10) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_330]) ).
tff(c_624,plain,
! [X4_26] :
( ( inverse(X4_26) != identity )
| ( multiply(X4_26,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_468,c_464,c_464,c_331]) ).
tff(c_628,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_571,c_624]) ).
tff(c_647,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_490,c_490,c_490,c_490,c_628]) ).
tff(c_648,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c10 )
| ( inverse(X2_12) != sk_c10 )
| ( multiply(X2_12,sk_c10) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c10) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_330]) ).
tff(c_8427,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X2_12) != identity )
| ( identity != X2_12 )
| ( multiply(X7_10,inverse(X8_13)) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( inverse(X7_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_972,c_725,c_958,c_737,c_725,c_1757,c_958,c_737,c_737,c_737,c_958,c_737,c_725,c_725,c_958,c_737,c_725,c_2,c_725,c_725,c_648]) ).
tff(c_35023,plain,
! [X7_241,X8_242] :
( ( multiply(X7_241,inverse(X8_242)) != inverse(X7_241) )
| ( multiply(X8_242,inverse(X7_241)) != inverse(X8_242) )
| ( inverse(X7_241) != identity ) ),
inference(splitLeft,[status(thm)],[c_8427]) ).
tff(c_35093,plain,
! [X8_242] :
( ( inverse(identity) != inverse(X8_242) )
| ( multiply(X8_242,inverse(identity)) != inverse(X8_242) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_35023]) ).
tff(c_35123,plain,
! [X8_243] :
( ( inverse(X8_243) != identity )
| ( inverse(X8_243) != X8_243 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_863,c_958,c_863,c_863,c_35093]) ).
tff(c_35135,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_863,c_35123]) ).
tff(c_35144,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_863,c_35135]) ).
tff(c_35145,plain,
! [X6_7,X1_11,X2_12] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X2_12) != identity )
| ( identity != X2_12 ) ),
inference(splitRight,[status(thm)],[c_8427]) ).
tff(c_60687,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_35145]) ).
tff(c_60689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60687,c_863]) ).
tff(c_60690,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_35145]) ).
tff(c_60693,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_60690]) ).
tff(c_60695,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60693,c_863]) ).
tff(c_60697,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_60690]) ).
tff(c_60699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60697,c_863]) ).
tff(c_60701,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_40,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_60780,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_60701,c_40]) ).
tff(c_61190,plain,
multiply(sk_c9,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_61185,c_60780]) ).
tff(c_60700,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_36,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_60808,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_60701,c_36]) ).
tff(c_61188,plain,
multiply(sk_c6,sk_c9) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_61185,c_60808]) ).
tff(c_60875,plain,
! [X_2,Z_366] : ( multiply(inverse(X_2),multiply(X_2,Z_366)) = multiply(identity,Z_366) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_60815]) ).
tff(c_61271,plain,
! [X_374,Z_375] : ( multiply(inverse(X_374),multiply(X_374,Z_375)) = Z_375 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60875]) ).
tff(c_61292,plain,
multiply(inverse(sk_c6),sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_61188,c_61271]) ).
tff(c_61365,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_61190,c_60700,c_61292]) ).
tff(c_61379,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_61365,c_61190]) ).
tff(c_61385,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_61196,c_61379]) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_60760,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_60701,c_34]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_60800,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_60701,c_32]) ).
tff(c_61322,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_60800,c_61271]) ).
tff(c_61368,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_60760,c_61322]) ).
tff(c_61548,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_61385,c_61385,c_61368]) ).
tff(c_60890,plain,
! [X_2,Z_366] : ( multiply(inverse(X_2),multiply(X_2,Z_366)) = Z_366 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60875]) ).
tff(c_61555,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_61548,c_60890]) ).
tff(c_61562,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_61555]) ).
tff(c_61403,plain,
inverse(sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_61385,c_157]) ).
tff(c_61456,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61403,c_4]) ).
tff(c_61742,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61562,c_61456]) ).
tff(c_61193,plain,
multiply(sk_c1,sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_61185,c_60701]) ).
tff(c_61392,plain,
multiply(sk_c1,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_61385,c_61385,c_61193]) ).
tff(c_61817,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61742,c_61562,c_61562,c_61392]) ).
tff(c_61819,plain,
multiply(sk_c2,sk_c12) != sk_c3,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_90,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c2,sk_c12) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_62750,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_61819,c_90]) ).
tff(c_61847,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_61945,plain,
! [X_380,Y_381,Z_382] : ( multiply(multiply(X_380,Y_381),Z_382) = multiply(X_380,multiply(Y_381,Z_382)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_61999,plain,
! [Z_382] : ( multiply(sk_c11,multiply(sk_c1,Z_382)) = multiply(identity,Z_382) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_61945]) ).
tff(c_62022,plain,
! [Z_383] : ( multiply(sk_c11,multiply(sk_c1,Z_383)) = Z_383 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61999]) ).
tff(c_62034,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_61847,c_62022]) ).
tff(c_62038,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_177,c_62034]) ).
tff(c_62047,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_62038,c_177]) ).
tff(c_62005,plain,
! [X_2,Z_382] : ( multiply(inverse(X_2),multiply(X_2,Z_382)) = multiply(identity,Z_382) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_61945]) ).
tff(c_62119,plain,
! [X_384,Z_385] : ( multiply(inverse(X_384),multiply(X_384,Z_385)) = Z_385 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62005]) ).
tff(c_62149,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_62047,c_62119]) ).
tff(c_62208,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_62149]) ).
tff(c_61871,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_61819,c_90]) ).
tff(c_88,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c2,sk_c12) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_61926,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_61819,c_88]) ).
tff(c_62040,plain,
multiply(sk_c4,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_62038,c_61926]) ).
tff(c_62140,plain,
multiply(inverse(sk_c4),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_62040,c_62119]) ).
tff(c_62207,plain,
multiply(sk_c12,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_61871,c_62140]) ).
tff(c_62482,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62208,c_2,c_62208,c_62207]) ).
tff(c_62046,plain,
multiply(sk_c12,sk_c3) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_62038,c_182]) ).
tff(c_62214,plain,
multiply(identity,sk_c3) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_62208,c_62046]) ).
tff(c_62452,plain,
sk_c3 = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_62214,c_2]) ).
tff(c_62483,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62482,c_62452]) ).
tff(c_62222,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62208,c_145]) ).
tff(c_62233,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_62222,c_4]) ).
tff(c_62020,plain,
! [X_2,Z_382] : ( multiply(inverse(X_2),multiply(X_2,Z_382)) = Z_382 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62005]) ).
tff(c_62367,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_62233,c_62020]) ).
tff(c_62379,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_62367]) ).
tff(c_62220,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_62208,c_61819]) ).
tff(c_62728,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62483,c_2,c_62379,c_62220]) ).
tff(c_62730,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_28,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_62789,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_62730,c_28]) ).
tff(c_94,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c2,sk_c12) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_62765,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_61819,c_94]) ).
tff(c_62812,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_62730,c_32]) ).
tff(c_96,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c2,sk_c12) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_62820,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_61819,c_96]) ).
tff(c_62729,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_62734,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_62729,c_4]) ).
tff(c_62834,plain,
! [X_389,Y_390,Z_391] : ( multiply(multiply(X_389,Y_390),Z_391) = multiply(X_389,multiply(Y_390,Z_391)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_62870,plain,
! [Z_391] : ( multiply(sk_c9,multiply(sk_c6,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_62734,c_62834]) ).
tff(c_64621,plain,
! [Z_425] : ( multiply(sk_c9,multiply(sk_c6,Z_425)) = Z_425 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62870]) ).
tff(c_64633,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_62820,c_64621]) ).
tff(c_62891,plain,
! [X_2,Z_391] : ( multiply(inverse(X_2),multiply(X_2,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_62834]) ).
tff(c_65529,plain,
! [X_435,Z_436] : ( multiply(inverse(X_435),multiply(X_435,Z_436)) = Z_436 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62891]) ).
tff(c_65568,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_64633,c_65529]) ).
tff(c_65635,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_65568]) ).
tff(c_62754,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_62750,c_4]) ).
tff(c_62867,plain,
! [Z_391] : ( multiply(sk_c12,multiply(sk_c4,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_62754,c_62834]) ).
tff(c_63602,plain,
! [Z_406] : ( multiply(sk_c12,multiply(sk_c4,Z_406)) = Z_406 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62867]) ).
tff(c_63617,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_62789,c_63602]) ).
tff(c_64837,plain,
! [X_429,Z_430] : ( multiply(inverse(X_429),multiply(X_429,Z_430)) = Z_430 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62891]) ).
tff(c_64912,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_63617,c_64837]) ).
tff(c_65014,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_64912]) ).
tff(c_64885,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_64633,c_64837]) ).
tff(c_65008,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_64885]) ).
tff(c_63711,plain,
! [Z_410] : ( multiply(sk_c9,multiply(sk_c6,Z_410)) = Z_410 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62870]) ).
tff(c_63723,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_62820,c_63711]) ).
tff(c_63896,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_62891]) ).
tff(c_63938,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_63723,c_63896]) ).
tff(c_64060,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_63938]) ).
tff(c_64107,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_64060,c_145]) ).
tff(c_64194,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_64107,c_4]) ).
tff(c_62906,plain,
! [X_2,Z_391] : ( multiply(inverse(X_2),multiply(X_2,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62891]) ).
tff(c_64250,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_64194,c_62906]) ).
tff(c_64262,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_64250]) ).
tff(c_64266,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_64262,c_64107]) ).
tff(c_63965,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_63617,c_63896]) ).
tff(c_64066,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_63965]) ).
tff(c_61818,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_61823,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61818,c_4]) ).
tff(c_104,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( multiply(sk_c2,sk_c12) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_61831,plain,
inverse(sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_61819,c_104]) ).
tff(c_61835,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61831,c_4]) ).
tff(c_62873,plain,
! [Z_391] : ( multiply(sk_c9,multiply(sk_c7,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_61835,c_62834]) ).
tff(c_63772,plain,
! [Z_413] : ( multiply(sk_c9,multiply(sk_c7,Z_413)) = Z_413 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62873]) ).
tff(c_63790,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_61823,c_63772]) ).
tff(c_64095,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_64060,c_63723]) ).
tff(c_64108,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_63790,c_64095]) ).
tff(c_62805,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_62730,c_40]) ).
tff(c_62855,plain,
! [Z_391] : ( multiply(sk_c9,multiply(sk_c11,Z_391)) = multiply(sk_c12,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_62805,c_62834]) ).
tff(c_64198,plain,
! [Z_391] : ( multiply(sk_c8,Z_391) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64066,c_64108,c_2,c_64060,c_62855]) ).
tff(c_64169,plain,
inverse(sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_64108,c_61831]) ).
tff(c_46,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_62794,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_62730,c_46]) ).
tff(c_62876,plain,
! [Z_391] : ( multiply(sk_c7,multiply(sk_c8,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_61823,c_62834]) ).
tff(c_63640,plain,
! [Z_407] : ( multiply(sk_c7,multiply(sk_c8,Z_407)) = Z_407 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62876]) ).
tff(c_63652,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_62794,c_63640]) ).
tff(c_64164,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_64108,c_63652]) ).
tff(c_64354,plain,
multiply(inverse(sk_c7),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_64164,c_62906]) ).
tff(c_64360,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_64198,c_64169,c_64354]) ).
tff(c_64285,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_64169,c_4]) ).
tff(c_64417,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_64360,c_64285]) ).
tff(c_64165,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_64108,c_62794]) ).
tff(c_64431,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_64417,c_64360,c_64360,c_64165]) ).
tff(c_64367,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_64360,c_64108]) ).
tff(c_64435,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_64431,c_64367]) ).
tff(c_62922,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X4_14) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177,c_128]) ).
tff(c_63038,plain,
! [X4_397] :
( ( inverse(X4_397) != sk_c11 )
| ( multiply(X4_397,sk_c11) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_62922]) ).
tff(c_63061,plain,
( ( inverse(inverse(sk_c11)) != sk_c11 )
| ( sk_c12 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_63038]) ).
tff(c_63071,plain,
sk_c12 != identity,
inference(splitLeft,[status(thm)],[c_63061]) ).
tff(c_63088,plain,
! [X_399,Z_400] : ( multiply(inverse(X_399),multiply(X_399,Z_400)) = Z_400 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62891]) ).
tff(c_63142,plain,
multiply(inverse(sk_c6),sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_62820,c_63088]) ).
tff(c_63215,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_62729,c_63142]) ).
tff(c_63346,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_63215,c_62906]) ).
tff(c_63352,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_63346]) ).
tff(c_63354,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63071,c_63352]) ).
tff(c_63356,plain,
sk_c12 = identity,
inference(splitRight,[status(thm)],[c_63061]) ).
tff(c_63065,plain,
( ( inverse(identity) != sk_c11 )
| ( sk_c12 != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_63038]) ).
tff(c_63070,plain,
sk_c12 != sk_c11,
inference(splitLeft,[status(thm)],[c_63065]) ).
tff(c_63357,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_63356,c_63070]) ).
tff(c_63368,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_63356,c_62754]) ).
tff(c_63431,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_63368,c_2]) ).
tff(c_63367,plain,
multiply(sk_c4,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_63356,c_62789]) ).
tff(c_63440,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_63431,c_63367]) ).
tff(c_63443,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63440]) ).
tff(c_63445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63357,c_63443]) ).
tff(c_63447,plain,
sk_c12 = sk_c11,
inference(splitRight,[status(thm)],[c_63065]) ).
tff(c_63054,plain,
( ( inverse(sk_c5) != sk_c11 )
| ( sk_c12 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_62812,c_63038]) ).
tff(c_63068,plain,
sk_c12 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_62765,c_63054]) ).
tff(c_63449,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_63447,c_63068]) ).
tff(c_63463,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_63447,c_177]) ).
tff(c_63001,plain,
! [Z_396] : ( multiply(sk_c12,multiply(sk_c4,Z_396)) = Z_396 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62867]) ).
tff(c_63016,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_62789,c_63001]) ).
tff(c_63451,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_63447,c_63447,c_63016]) ).
tff(c_63545,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_63463,c_63451]) ).
tff(c_63546,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63449,c_63545]) ).
tff(c_63547,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_62922]) ).
tff(c_63734,plain,
! [X8_411,X7_412] :
( ( inverse(multiply(X8_411,inverse(X7_412))) != inverse(X7_412) )
| ( multiply(X8_411,inverse(X7_412)) != inverse(X8_411) )
| ( multiply(inverse(X7_412),sk_c11) != sk_c12 )
| ( multiply(X7_412,inverse(X7_412)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_63547]) ).
tff(c_63743,plain,
! [X8_411] :
( ( inverse(multiply(X8_411,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_411,inverse(sk_c6)) != inverse(X8_411) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_62729,c_63734]) ).
tff(c_63763,plain,
! [X8_411] :
( ( inverse(multiply(X8_411,sk_c9)) != sk_c9 )
| ( multiply(X8_411,sk_c9) != inverse(X8_411) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62820,c_62729,c_62805,c_62729,c_62729,c_62729,c_63743]) ).
tff(c_64525,plain,
! [X8_421] :
( ( inverse(multiply(X8_421,identity)) != identity )
| ( multiply(X8_421,identity) != inverse(X8_421) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64435,c_64435,c_64435,c_63763]) ).
tff(c_64533,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_64525]) ).
tff(c_64541,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_64266,c_64266,c_4,c_64266,c_64533]) ).
tff(c_64542,plain,
! [X2_12,X1_11,X6_7] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_63547]) ).
tff(c_64769,plain,
! [X6_428] :
( ( inverse(X6_428) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_428,sk_c12)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_64542]) ).
tff(c_64802,plain,
( ( inverse(identity) != sk_c12 )
| ( multiply(sk_c12,sk_c12) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_64769]) ).
tff(c_64810,plain,
multiply(sk_c12,sk_c12) != sk_c11,
inference(splitLeft,[status(thm)],[c_64802]) ).
tff(c_65045,plain,
multiply(identity,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_65008,c_65008,c_64810]) ).
tff(c_65061,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65045]) ).
tff(c_65143,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_65014,c_65061]) ).
tff(c_65145,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_64802]) ).
tff(c_62861,plain,
! [Z_391] : ( multiply(sk_c4,multiply(sk_c12,Z_391)) = multiply(sk_c11,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_62789,c_62834]) ).
tff(c_65152,plain,
multiply(sk_c4,sk_c11) = multiply(sk_c11,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_65145,c_62861]) ).
tff(c_65162,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_177,c_65152]) ).
tff(c_62769,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_62765,c_4]) ).
tff(c_62864,plain,
! [Z_391] : ( multiply(sk_c11,multiply(sk_c5,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_62769,c_62834]) ).
tff(c_64589,plain,
! [Z_424] : ( multiply(sk_c11,multiply(sk_c5,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62864]) ).
tff(c_64601,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_62812,c_64589]) ).
tff(c_62900,plain,
! [Z_391] : ( multiply(sk_c12,multiply(sk_c4,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62867]) ).
tff(c_65169,plain,
multiply(sk_c12,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_65162,c_62900]) ).
tff(c_65186,plain,
multiply(sk_c4,sk_c11) = multiply(sk_c11,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_65169,c_62861]) ).
tff(c_65195,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_65162,c_64601,c_65186]) ).
tff(c_65246,plain,
! [X_432,Z_433] : ( multiply(inverse(X_432),multiply(X_432,Z_433)) = Z_433 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62891]) ).
tff(c_65279,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_64633,c_65246]) ).
tff(c_65346,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_65279]) ).
tff(c_64798,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( multiply(sk_c12,identity) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_64769]) ).
tff(c_65198,plain,
multiply(sk_c12,identity) != sk_c11,
inference(splitLeft,[status(thm)],[c_64798]) ).
tff(c_65245,plain,
multiply(sk_c12,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_65195,c_65198]) ).
tff(c_65369,plain,
multiply(identity,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_65346,c_65245]) ).
tff(c_65378,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65369]) ).
tff(c_63548,plain,
! [Z_404] : ( multiply(sk_c11,multiply(sk_c12,Z_404)) = multiply(sk_c10,Z_404) ),
inference(superposition,[status(thm),theory(equality)],[c_177,c_62834]) ).
tff(c_63563,plain,
multiply(sk_c11,sk_c11) = multiply(sk_c10,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_182,c_63548]) ).
tff(c_64682,plain,
! [Z_427] : ( multiply(sk_c4,multiply(sk_c12,Z_427)) = multiply(sk_c11,Z_427) ),
inference(superposition,[status(thm),theory(equality)],[c_62789,c_62834]) ).
tff(c_64700,plain,
multiply(sk_c4,sk_c12) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_63617,c_64682]) ).
tff(c_64719,plain,
multiply(sk_c10,sk_c3) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_62789,c_63563,c_64700]) ).
tff(c_64720,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_64719,c_63563]) ).
tff(c_62882,plain,
! [Z_391] : ( multiply(sk_c11,multiply(sk_c12,Z_391)) = multiply(sk_c10,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_177,c_62834]) ).
tff(c_65189,plain,
multiply(sk_c11,sk_c11) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_65169,c_62882]) ).
tff(c_65196,plain,
multiply(sk_c10,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_64720,c_65189]) ).
tff(c_65441,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_65195,c_65196]) ).
tff(c_65445,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_65441,c_62906]) ).
tff(c_65451,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_65445]) ).
tff(c_65453,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65378,c_65451]) ).
tff(c_65455,plain,
multiply(sk_c12,identity) = sk_c11,
inference(splitRight,[status(thm)],[c_64798]) ).
tff(c_65520,plain,
multiply(sk_c12,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_65195,c_65455]) ).
tff(c_65659,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_65635,c_65520]) ).
tff(c_65669,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65659]) ).
tff(c_62888,plain,
! [Z_391] : ( multiply(sk_c12,multiply(sk_c2,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_62834]) ).
tff(c_62905,plain,
! [Z_391] : ( multiply(sk_c12,multiply(sk_c2,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62888]) ).
tff(c_64784,plain,
( ( inverse(sk_c2) != sk_c12 )
| ( sk_c12 != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_62905,c_64769]) ).
tff(c_64807,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_145,c_64784]) ).
tff(c_65460,plain,
sk_c12 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_65195,c_64807]) ).
tff(c_65660,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_65635,c_65460]) ).
tff(c_65707,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_65669,c_65660]) ).
tff(c_65708,plain,
! [X1_11,X2_12] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_64542]) ).
tff(c_65926,plain,
! [X2_440] :
( ( inverse(X2_440) != sk_c11 )
| ( multiply(X2_440,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_65708]) ).
tff(c_65949,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_62812,c_65926]) ).
tff(c_65967,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62765,c_65949]) ).
tff(c_66155,plain,
! [X1_443] :
( ( inverse(X1_443) != sk_c12 )
| ( multiply(X1_443,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_65708]) ).
tff(c_66172,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_62789,c_66155]) ).
tff(c_66189,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62750,c_66172]) ).
tff(c_66191,plain,
multiply(sk_c12,sk_c3) != sk_c11,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_66508,plain,
multiply(sk_c12,sk_c3) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_66416,c_66191]) ).
tff(c_66602,plain,
sk_c12 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_66598,c_66508]) ).
tff(c_66758,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_66745,c_66602]) ).
tff(c_72,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c12,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_66299,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_66191,c_72]) ).
tff(c_66504,plain,
multiply(sk_c5,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_66416,c_66299]) ).
tff(c_66190,plain,
inverse(sk_c5) = sk_c11,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_66195,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_66190,c_4]) ).
tff(c_66371,plain,
! [Z_446] : ( multiply(sk_c11,multiply(sk_c5,Z_446)) = multiply(identity,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_66195,c_66323]) ).
tff(c_66395,plain,
! [Z_446] : ( multiply(sk_c11,multiply(sk_c5,Z_446)) = Z_446 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66371]) ).
tff(c_66611,plain,
! [Z_450] : ( multiply(sk_c10,multiply(sk_c5,Z_450)) = Z_450 ),
inference(demodulation,[status(thm),theory(equality)],[c_66416,c_66395]) ).
tff(c_66623,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_66504,c_66611]) ).
tff(c_66652,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_66623,c_66634]) ).
tff(c_66740,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_66652]) ).
tff(c_66809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66758,c_66740]) ).
tff(c_66811,plain,
multiply(sk_c2,sk_c12) != sk_c3,
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_92,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c2,sk_c12) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_66840,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_66811,c_92]) ).
tff(c_67022,plain,
multiply(sk_c5,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_67020,c_66840]) ).
tff(c_66897,plain,
! [Z_456] : ( multiply(sk_c11,multiply(sk_c5,Z_456)) = multiply(identity,Z_456) ),
inference(superposition,[status(thm),theory(equality)],[c_66195,c_66852]) ).
tff(c_66921,plain,
! [Z_456] : ( multiply(sk_c11,multiply(sk_c5,Z_456)) = Z_456 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66897]) ).
tff(c_75478,plain,
! [Z_561] : ( multiply(sk_c10,multiply(sk_c5,Z_561)) = Z_561 ),
inference(demodulation,[status(thm),theory(equality)],[c_67020,c_66921]) ).
tff(c_75490,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_67022,c_75478]) ).
tff(c_75519,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_75490,c_75501]) ).
tff(c_75601,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_75519]) ).
tff(c_67029,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_67020,c_177]) ).
tff(c_75543,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_67029,c_75501]) ).
tff(c_75605,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_75543]) ).
tff(c_67158,plain,
! [X_463,Z_464] : ( multiply(inverse(X_463),multiply(X_463,Z_464)) = Z_464 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66909]) ).
tff(c_67203,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_67029,c_67158]) ).
tff(c_67265,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_67203]) ).
tff(c_67283,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_67265,c_145]) ).
tff(c_67359,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_67283,c_4]) ).
tff(c_67410,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_67359,c_66924]) ).
tff(c_67422,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_67410]) ).
tff(c_67426,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_67422,c_67283]) ).
tff(c_67798,plain,
! [X_470,Z_471] : ( multiply(inverse(inverse(X_470)),Z_471) = multiply(X_470,Z_471) ),
inference(superposition,[status(thm),theory(equality)],[c_66924,c_67158]) ).
tff(c_67254,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_67158]) ).
tff(c_67805,plain,
! [X_470] : ( multiply(X_470,identity) = X_470 ),
inference(superposition,[status(thm),theory(equality)],[c_67798,c_67254]) ).
tff(c_67836,plain,
! [X_470] : ( multiply(X_470,inverse(X_470)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_67798]) ).
tff(c_67119,plain,
! [Z_461] : ( multiply(sk_c10,multiply(sk_c5,Z_461)) = Z_461 ),
inference(demodulation,[status(thm),theory(equality)],[c_67020,c_66921]) ).
tff(c_67131,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_67022,c_67119]) ).
tff(c_67179,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_67131,c_67158]) ).
tff(c_67261,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_67179]) ).
tff(c_67841,plain,
! [X_472] : ( multiply(X_472,identity) = X_472 ),
inference(superposition,[status(thm),theory(equality)],[c_67798,c_67254]) ).
tff(c_67170,plain,
! [X_2,Z_456] : ( multiply(inverse(inverse(X_2)),Z_456) = multiply(X_2,Z_456) ),
inference(superposition,[status(thm),theory(equality)],[c_66924,c_67158]) ).
tff(c_67848,plain,
! [X_2] : ( inverse(inverse(X_2)) = multiply(X_2,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_67841,c_67170]) ).
tff(c_67893,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_67805,c_67848]) ).
tff(c_67991,plain,
! [X_475,Y_476,Z_477] : ( multiply(inverse(multiply(X_475,Y_476)),multiply(X_475,multiply(Y_476,Z_477))) = Z_477 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_67158]) ).
tff(c_68027,plain,
! [X_475,X_470] : ( multiply(inverse(multiply(X_475,X_470)),multiply(X_475,identity)) = inverse(X_470) ),
inference(superposition,[status(thm),theory(equality)],[c_67836,c_67991]) ).
tff(c_68446,plain,
! [X_486,X_487] : ( multiply(inverse(multiply(X_486,X_487)),X_486) = inverse(X_487) ),
inference(demodulation,[status(thm),theory(equality)],[c_67805,c_68027]) ).
tff(c_69026,plain,
! [Z_495,X_496] : ( multiply(inverse(Z_495),inverse(X_496)) = inverse(multiply(X_496,Z_495)) ),
inference(superposition,[status(thm),theory(equality)],[c_66924,c_68446]) ).
tff(c_69119,plain,
! [X_496,X_2] : ( inverse(multiply(X_496,inverse(X_2))) = multiply(X_2,inverse(X_496)) ),
inference(superposition,[status(thm),theory(equality)],[c_67893,c_69026]) ).
tff(c_66929,plain,
! [Z_457] : ( multiply(sk_c11,multiply(sk_c1,Z_457)) = Z_457 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66903]) ).
tff(c_66941,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_66238,c_66929]) ).
tff(c_66945,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_177,c_66941]) ).
tff(c_66956,plain,
inverse(sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_66945,c_157]) ).
tff(c_66950,plain,
multiply(sk_c1,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_66945,c_66238]) ).
tff(c_66927,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X4_14) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177,c_128]) ).
tff(c_66928,plain,
! [X4_14] :
( ( inverse(X4_14) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_66927]) ).
tff(c_66983,plain,
! [X4_458] :
( ( inverse(X4_458) != sk_c10 )
| ( multiply(X4_458,sk_c10) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66945,c_66945,c_66928]) ).
tff(c_66986,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_66950,c_66983]) ).
tff(c_67002,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_66956,c_66986]) ).
tff(c_67003,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_66927]) ).
tff(c_67080,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c10 )
| ( inverse(X2_12) != sk_c10 )
| ( multiply(X2_12,sk_c10) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c10) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67020,c_67020,c_67020,c_67020,c_67020,c_67003]) ).
tff(c_67081,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c10) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_67080]) ).
tff(c_75366,plain,
! [X7_557,X8_558] :
( ( multiply(X7_557,inverse(X8_558)) != inverse(X7_557) )
| ( multiply(X8_558,inverse(X7_557)) != inverse(X8_558) )
| ( inverse(X7_557) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67836,c_67265,c_67805,c_67261,c_67265,c_69119,c_67081]) ).
tff(c_75406,plain,
! [X8_558] :
( ( inverse(identity) != inverse(X8_558) )
| ( multiply(X8_558,inverse(identity)) != inverse(X8_558) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_75366]) ).
tff(c_75424,plain,
! [X8_559] :
( ( inverse(X8_559) != identity )
| ( inverse(X8_559) != X8_559 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67426,c_67805,c_67426,c_67426,c_75406]) ).
tff(c_75432,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_67426,c_75424]) ).
tff(c_75439,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_67426,c_75432]) ).
tff(c_75440,plain,
! [X2_12,X1_11,X6_7] :
( ( inverse(X2_12) != sk_c10 )
| ( multiply(X2_12,sk_c10) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_67080]) ).
tff(c_84024,plain,
! [X2_12,X1_11,X6_7] :
( ( inverse(X2_12) != identity )
| ( identity != X2_12 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76146,c_75601,c_75605,c_2,c_75605,c_75605,c_76146,c_75601,c_75605,c_75605,c_76146,c_75601,c_75601,c_75601,c_75440]) ).
tff(c_84026,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_84024]) ).
tff(c_75622,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_75605,c_145]) ).
tff(c_75698,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_75622,c_4]) ).
tff(c_75765,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_75698,c_66924]) ).
tff(c_75777,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_75765]) ).
tff(c_75781,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_75777,c_75622]) ).
tff(c_84028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84026,c_75781]) ).
tff(c_84029,plain,
! [X1_11,X2_12] :
( ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X2_12) != identity )
| ( identity != X2_12 ) ),
inference(splitRight,[status(thm)],[c_84024]) ).
tff(c_84031,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_84029]) ).
tff(c_84033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84031,c_75781]) ).
tff(c_84036,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_84029]) ).
tff(c_84038,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84036,c_75781]) ).
tff(c_84040,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_44,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_84052,plain,
inverse(sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_84040,c_44]) ).
tff(c_84056,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_84052,c_4]) ).
tff(c_84242,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X4_14) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177,c_128]) ).
tff(c_84355,plain,
! [X4_666] :
( ( inverse(X4_666) != sk_c11 )
| ( multiply(X4_666,sk_c11) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_84242]) ).
tff(c_84375,plain,
( ( inverse(inverse(sk_c11)) != sk_c11 )
| ( sk_c12 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_84355]) ).
tff(c_84384,plain,
sk_c12 != identity,
inference(splitLeft,[status(thm)],[c_84375]) ).
tff(c_78,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c12,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_66204,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_66191,c_78]) ).
tff(c_76,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c12,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_84095,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_66191,c_76]) ).
tff(c_84130,plain,
! [X_658,Y_659,Z_660] : ( multiply(multiply(X_658,Y_659),Z_660) = multiply(X_658,multiply(Y_659,Z_660)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_84187,plain,
! [X_2,Z_660] : ( multiply(inverse(X_2),multiply(X_2,Z_660)) = multiply(identity,Z_660) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_84130]) ).
tff(c_84427,plain,
! [X_669,Z_670] : ( multiply(inverse(X_669),multiply(X_669,Z_670)) = Z_670 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_84187]) ).
tff(c_84502,plain,
multiply(inverse(sk_c6),sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_84095,c_84427]) ).
tff(c_84572,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_66204,c_84502]) ).
tff(c_84202,plain,
! [X_2,Z_660] : ( multiply(inverse(X_2),multiply(X_2,Z_660)) = Z_660 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_84187]) ).
tff(c_84775,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_84572,c_84202]) ).
tff(c_84781,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_84775]) ).
tff(c_84783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84384,c_84781]) ).
tff(c_84785,plain,
sk_c12 = identity,
inference(splitRight,[status(thm)],[c_84375]) ).
tff(c_106,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c2,sk_c12) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_84085,plain,
multiply(sk_c2,sk_c12) = sk_c3,
inference(splitLeft,[status(thm)],[c_106]) ).
tff(c_84184,plain,
! [Z_660] : ( multiply(sk_c12,multiply(sk_c2,Z_660)) = multiply(identity,Z_660) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_84130]) ).
tff(c_84217,plain,
! [Z_662] : ( multiply(sk_c12,multiply(sk_c2,Z_662)) = Z_662 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_84184]) ).
tff(c_84229,plain,
multiply(sk_c12,sk_c3) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_84085,c_84217]) ).
tff(c_84233,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_84229,c_66191]) ).
tff(c_84792,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_84785,c_84233]) ).
tff(c_70,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c12,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_66225,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_66191,c_70]) ).
tff(c_84801,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_84785,c_66225]) ).
tff(c_84813,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_84801,c_4]) ).
tff(c_84823,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_84813,c_2]) ).
tff(c_68,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c12,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_84090,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_66191,c_68]) ).
tff(c_84797,plain,
multiply(sk_c4,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_84785,c_84090]) ).
tff(c_84906,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_84823,c_84797]) ).
tff(c_84907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84792,c_84906]) ).
tff(c_84908,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_106]) ).
tff(c_84909,plain,
multiply(sk_c2,sk_c12) != sk_c3,
inference(splitRight,[status(thm)],[c_106]) ).
tff(c_84924,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_84909,c_96]) ).
tff(c_66208,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_66204,c_4]) ).
tff(c_84955,plain,
! [X_673,Y_674,Z_675] : ( multiply(multiply(X_673,Y_674),Z_675) = multiply(X_673,multiply(Y_674,Z_675)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_84994,plain,
! [Z_675] : ( multiply(sk_c9,multiply(sk_c6,Z_675)) = multiply(identity,Z_675) ),
inference(superposition,[status(thm),theory(equality)],[c_66208,c_84955]) ).
tff(c_85779,plain,
! [Z_693] : ( multiply(sk_c9,multiply(sk_c6,Z_693)) = Z_693 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_84994]) ).
tff(c_85791,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_84924,c_85779]) ).
tff(c_85802,plain,
! [Z_694] : ( multiply(sk_c8,multiply(sk_c9,Z_694)) = multiply(sk_c7,Z_694) ),
inference(superposition,[status(thm),theory(equality)],[c_84908,c_84955]) ).
tff(c_85817,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c7,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_85791,c_85802]) ).
tff(c_85842,plain,
multiply(sk_c7,sk_c12) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_84908,c_85817]) ).
tff(c_84985,plain,
! [Z_675] : ( multiply(sk_c9,multiply(sk_c7,Z_675)) = multiply(identity,Z_675) ),
inference(superposition,[status(thm),theory(equality)],[c_84056,c_84955]) ).
tff(c_85017,plain,
! [Z_675] : ( multiply(sk_c9,multiply(sk_c7,Z_675)) = Z_675 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_84985]) ).
tff(c_85858,plain,
multiply(sk_c9,sk_c7) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_85842,c_85017]) ).
tff(c_85864,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_84056,c_85858]) ).
tff(c_85876,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_85864,c_66225]) ).
tff(c_84931,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_84040,c_28]) ).
tff(c_85870,plain,
multiply(sk_c4,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_85864,c_84931]) ).
tff(c_85009,plain,
! [X_2,Z_675] : ( multiply(inverse(X_2),multiply(X_2,Z_675)) = multiply(identity,Z_675) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_84955]) ).
tff(c_85999,plain,
! [X_697,Z_698] : ( multiply(inverse(X_697),multiply(X_697,Z_698)) = Z_698 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85009]) ).
tff(c_86020,plain,
multiply(inverse(sk_c4),sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85870,c_85999]) ).
tff(c_86088,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85876,c_86020]) ).
tff(c_86121,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_86088,c_157]) ).
tff(c_86216,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_86121,c_4]) ).
tff(c_85024,plain,
! [X_2,Z_675] : ( multiply(inverse(X_2),multiply(X_2,Z_675)) = Z_675 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85009]) ).
tff(c_86341,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_86216,c_85024]) ).
tff(c_86353,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_86341]) ).
tff(c_85874,plain,
multiply(sk_c1,sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_85864,c_84040]) ).
tff(c_86301,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_86088,c_85874]) ).
tff(c_86357,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_86353,c_86301]) ).
tff(c_86362,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_86357]) ).
tff(c_86364,plain,
multiply(sk_c11,sk_c12) != sk_c10,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c11,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_86393,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_86364,c_14]) ).
tff(c_12,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c11,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_87662,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_86364,c_12]) ).
tff(c_87669,plain,
! [X_723,Y_724,Z_725] : ( multiply(multiply(X_723,Y_724),Z_725) = multiply(X_723,multiply(Y_724,Z_725)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_87726,plain,
! [X_2,Z_725] : ( multiply(inverse(X_2),multiply(X_2,Z_725)) = multiply(identity,Z_725) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_87669]) ).
tff(c_88206,plain,
! [X_731,Z_732] : ( multiply(inverse(X_731),multiply(X_731,Z_732)) = Z_732 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87726]) ).
tff(c_88242,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_87662,c_88206]) ).
tff(c_88286,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_86393,c_88242]) ).
tff(c_87741,plain,
! [X_2,Z_725] : ( multiply(inverse(X_2),multiply(X_2,Z_725)) = Z_725 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87726]) ).
tff(c_88293,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_88286,c_87741]) ).
tff(c_88299,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_88293]) ).
tff(c_86376,plain,
multiply(sk_c12,sk_c3) = sk_c11,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_87627,plain,
multiply(sk_c2,sk_c12) = sk_c3,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_87723,plain,
! [Z_725] : ( multiply(sk_c12,multiply(sk_c2,Z_725)) = multiply(identity,Z_725) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_87669]) ).
tff(c_87756,plain,
! [Z_727] : ( multiply(sk_c12,multiply(sk_c2,Z_727)) = Z_727 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87723]) ).
tff(c_87768,plain,
multiply(sk_c12,sk_c3) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_87627,c_87756]) ).
tff(c_87772,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_86376,c_87768]) ).
tff(c_86363,plain,
inverse(sk_c4) = sk_c12,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_87782,plain,
inverse(sk_c4) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_87772,c_86363]) ).
tff(c_8,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c11,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_87637,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_86364,c_8]) ).
tff(c_87775,plain,
multiply(sk_c4,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_87772,c_87637]) ).
tff(c_87849,plain,
! [X_728,Z_729] : ( multiply(inverse(X_728),multiply(X_728,Z_729)) = Z_729 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87726]) ).
tff(c_87867,plain,
multiply(inverse(sk_c4),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_87775,c_87849]) ).
tff(c_87940,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_87782,c_87867]) ).
tff(c_87897,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_87662,c_87849]) ).
tff(c_87944,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_86393,c_87897]) ).
tff(c_87999,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_87944,c_87741]) ).
tff(c_88005,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_87999]) ).
tff(c_87803,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(sk_c11,multiply(X6_7,sk_c11)) != sk_c11 )
| ( inverse(X4_14) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c11 )
| ( multiply(sk_c11,sk_c11) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87772,c_87772,c_87772,c_87772,c_87772,c_87772,c_87772,c_87772,c_87772,c_128]) ).
tff(c_87804,plain,
multiply(sk_c11,sk_c11) != sk_c10,
inference(splitLeft,[status(thm)],[c_87803]) ).
tff(c_88008,plain,
multiply(sk_c11,sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_88005,c_87804]) ).
tff(c_88172,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_87940,c_88008]) ).
tff(c_87779,plain,
multiply(sk_c11,sk_c3) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_87772,c_86376]) ).
tff(c_87876,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_87779,c_87849]) ).
tff(c_87942,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_87876]) ).
tff(c_87776,plain,
multiply(sk_c2,sk_c11) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_87772,c_87627]) ).
tff(c_87949,plain,
multiply(sk_c2,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_87942,c_87776]) ).
tff(c_87696,plain,
! [Z_725] : ( multiply(sk_c2,multiply(sk_c12,Z_725)) = multiply(sk_c3,Z_725) ),
inference(superposition,[status(thm),theory(equality)],[c_87627,c_87669]) ).
tff(c_88038,plain,
! [Z_725] : ( multiply(sk_c2,multiply(sk_c11,Z_725)) = Z_725 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87942,c_87772,c_87696]) ).
tff(c_88176,plain,
multiply(sk_c2,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_87940,c_88038]) ).
tff(c_88185,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_87949,c_88176]) ).
tff(c_88188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88172,c_88185]) ).
tff(c_88190,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(splitRight,[status(thm)],[c_87803]) ).
tff(c_88434,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_88299,c_88190]) ).
tff(c_86473,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_86364,c_12]) ).
tff(c_86501,plain,
! [X_700,Y_701,Z_702] : ( multiply(multiply(X_700,Y_701),Z_702) = multiply(X_700,multiply(Y_701,Z_702)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_86561,plain,
! [X_2,Z_702] : ( multiply(inverse(X_2),multiply(X_2,Z_702)) = multiply(identity,Z_702) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_86501]) ).
tff(c_86691,plain,
! [X_705,Z_706] : ( multiply(inverse(X_705),multiply(X_705,Z_706)) = Z_706 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_86561]) ).
tff(c_86736,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_86473,c_86691]) ).
tff(c_86782,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_86393,c_86736]) ).
tff(c_86576,plain,
! [X_2,Z_702] : ( multiply(inverse(X_2),multiply(X_2,Z_702)) = Z_702 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_86561]) ).
tff(c_86795,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_86782,c_86576]) ).
tff(c_86801,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_86795]) ).
tff(c_86430,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_86555,plain,
! [Z_702] : ( multiply(sk_c11,multiply(sk_c1,Z_702)) = multiply(identity,Z_702) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_86501]) ).
tff(c_86578,plain,
! [Z_703] : ( multiply(sk_c11,multiply(sk_c1,Z_703)) = Z_703 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_86555]) ).
tff(c_86590,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_86430,c_86578]) ).
tff(c_86594,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_86590,c_86364]) ).
tff(c_86804,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_86801,c_86594]) ).
tff(c_86435,plain,
multiply(sk_c2,sk_c12) = sk_c3,
inference(splitLeft,[status(thm)],[c_104]) ).
tff(c_86558,plain,
! [Z_702] : ( multiply(sk_c12,multiply(sk_c2,Z_702)) = multiply(identity,Z_702) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_86501]) ).
tff(c_86602,plain,
! [Z_704] : ( multiply(sk_c12,multiply(sk_c2,Z_704)) = Z_704 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_86558]) ).
tff(c_86614,plain,
multiply(sk_c12,sk_c3) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_86435,c_86602]) ).
tff(c_86618,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_86376,c_86614]) ).
tff(c_86621,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_86618,c_86590]) ).
tff(c_87076,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_86621,c_86576]) ).
tff(c_87083,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_87076]) ).
tff(c_87085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86804,c_87083]) ).
tff(c_87087,plain,
multiply(sk_c2,sk_c12) != sk_c3,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_87119,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_87087,c_92]) ).
tff(c_86397,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_86393,c_4]) ).
tff(c_87157,plain,
! [X_710,Y_711,Z_712] : ( multiply(multiply(X_710,Y_711),Z_712) = multiply(X_710,multiply(Y_711,Z_712)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_87196,plain,
! [Z_712] : ( multiply(sk_c11,multiply(sk_c5,Z_712)) = multiply(identity,Z_712) ),
inference(superposition,[status(thm),theory(equality)],[c_86397,c_87157]) ).
tff(c_87269,plain,
! [Z_715] : ( multiply(sk_c11,multiply(sk_c5,Z_715)) = Z_715 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87196]) ).
tff(c_87281,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_87119,c_87269]) ).
tff(c_87214,plain,
! [X_2,Z_712] : ( multiply(inverse(X_2),multiply(X_2,Z_712)) = multiply(identity,Z_712) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_87157]) ).
tff(c_87367,plain,
! [X_720,Z_721] : ( multiply(inverse(X_720),multiply(X_720,Z_721)) = Z_721 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87214]) ).
tff(c_87403,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_87281,c_87367]) ).
tff(c_87494,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_87403]) ).
tff(c_87208,plain,
! [Z_712] : ( multiply(sk_c11,multiply(sk_c1,Z_712)) = multiply(identity,Z_712) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_87157]) ).
tff(c_87231,plain,
! [Z_713] : ( multiply(sk_c11,multiply(sk_c1,Z_713)) = Z_713 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87208]) ).
tff(c_87243,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_86430,c_87231]) ).
tff(c_87247,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_87243,c_86364]) ).
tff(c_87529,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_87494,c_87247]) ).
tff(c_16,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c11,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_87112,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_86364,c_16]) ).
tff(c_18,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c11,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_86381,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_86364,c_18]) ).
tff(c_86385,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_86381,c_4]) ).
tff(c_87199,plain,
! [Z_712] : ( multiply(sk_c9,multiply(sk_c6,Z_712)) = multiply(identity,Z_712) ),
inference(superposition,[status(thm),theory(equality)],[c_86385,c_87157]) ).
tff(c_87305,plain,
! [Z_717] : ( multiply(sk_c9,multiply(sk_c6,Z_717)) = Z_717 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87199]) ).
tff(c_87317,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_87112,c_87305]) ).
tff(c_87394,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_87317,c_87367]) ).
tff(c_87493,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_87394]) ).
tff(c_87129,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_86364,c_8]) ).
tff(c_87424,plain,
multiply(inverse(sk_c4),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_87129,c_87367]) ).
tff(c_87497,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_86363,c_87424]) ).
tff(c_87591,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_87493,c_2,c_87493,c_87497]) ).
tff(c_87592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87529,c_87591]) ).
tff(c_87594,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_87647,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_87594,c_40]) ).
tff(c_87774,plain,
multiply(sk_c9,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_87772,c_87647]) ).
tff(c_87620,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_86364,c_16]) ).
tff(c_87777,plain,
multiply(sk_c6,sk_c9) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_87772,c_87620]) ).
tff(c_88459,plain,
multiply(inverse(sk_c6),sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_87777,c_87741]) ).
tff(c_88465,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_87774,c_86381,c_88459]) ).
tff(c_88468,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_88465,c_87774]) ).
tff(c_88477,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_88434,c_88468]) ).
tff(c_87781,plain,
multiply(sk_c11,sk_c11) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_87772,c_86364]) ).
tff(c_88693,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_88477,c_2,c_88477,c_88299,c_87781]) ).
tff(c_88694,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_88737,plain,
! [X_737,Y_738,Z_739] : ( multiply(multiply(X_737,Y_738),Z_739) = multiply(X_737,multiply(Y_738,Z_739)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_88773,plain,
! [Z_739] : ( multiply(sk_c11,multiply(sk_c5,Z_739)) = multiply(identity,Z_739) ),
inference(superposition,[status(thm),theory(equality)],[c_86397,c_88737]) ).
tff(c_88834,plain,
! [Z_742] : ( multiply(sk_c11,multiply(sk_c5,Z_742)) = Z_742 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_88773]) ).
tff(c_88846,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_88694,c_88834]) ).
tff(c_88791,plain,
! [X_2,Z_739] : ( multiply(inverse(X_2),multiply(X_2,Z_739)) = multiply(identity,Z_739) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_88737]) ).
tff(c_88939,plain,
! [X_747,Z_748] : ( multiply(inverse(X_747),multiply(X_747,Z_748)) = Z_748 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_88791]) ).
tff(c_88978,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_88846,c_88939]) ).
tff(c_89064,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_88978]) ).
tff(c_88695,plain,
multiply(sk_c2,sk_c12) != sk_c3,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_88711,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_88695,c_88]) ).
tff(c_86368,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_86363,c_4]) ).
tff(c_88782,plain,
! [Z_739] : ( multiply(sk_c12,multiply(sk_c4,Z_739)) = multiply(identity,Z_739) ),
inference(superposition,[status(thm),theory(equality)],[c_86368,c_88737]) ).
tff(c_88857,plain,
! [Z_743] : ( multiply(sk_c12,multiply(sk_c4,Z_743)) = Z_743 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_88782]) ).
tff(c_88869,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_88711,c_88857]) ).
tff(c_88969,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_88869,c_88939]) ).
tff(c_89063,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_88969]) ).
tff(c_88776,plain,
! [Z_739] : ( multiply(sk_c9,multiply(sk_c6,Z_739)) = multiply(identity,Z_739) ),
inference(superposition,[status(thm),theory(equality)],[c_86385,c_88737]) ).
tff(c_88893,plain,
! [Z_745] : ( multiply(sk_c9,multiply(sk_c6,Z_745)) = Z_745 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_88776]) ).
tff(c_88905,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_87620,c_88893]) ).
tff(c_88963,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_88905,c_88939]) ).
tff(c_89062,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_88963]) ).
tff(c_89088,plain,
multiply(sk_c11,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_89062,c_86364]) ).
tff(c_89235,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_89064,c_2,c_89063,c_89088]) ).
tff(c_89237,plain,
multiply(sk_c12,sk_c3) != sk_c11,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_90966,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_89237,c_76]) ).
tff(c_89831,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_86364,c_8]) ).
tff(c_89849,plain,
! [X_762,Y_763,Z_764] : ( multiply(multiply(X_762,Y_763),Z_764) = multiply(X_762,multiply(Y_763,Z_764)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_89894,plain,
! [Z_764] : ( multiply(sk_c12,multiply(sk_c4,Z_764)) = multiply(identity,Z_764) ),
inference(superposition,[status(thm),theory(equality)],[c_86368,c_89849]) ).
tff(c_89957,plain,
! [Z_767] : ( multiply(sk_c12,multiply(sk_c4,Z_767)) = Z_767 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89894]) ).
tff(c_89969,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_89831,c_89957]) ).
tff(c_89903,plain,
! [X_2,Z_764] : ( multiply(inverse(X_2),multiply(X_2,Z_764)) = multiply(identity,Z_764) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_89849]) ).
tff(c_89980,plain,
! [X_768,Z_769] : ( multiply(inverse(X_768),multiply(X_768,Z_769)) = Z_769 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89903]) ).
tff(c_89998,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_89969,c_89980]) ).
tff(c_90083,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_89998]) ).
tff(c_89280,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_89897,plain,
! [Z_764] : ( multiply(sk_c11,multiply(sk_c1,Z_764)) = multiply(identity,Z_764) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_89849]) ).
tff(c_89920,plain,
! [Z_765] : ( multiply(sk_c11,multiply(sk_c1,Z_765)) = Z_765 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89897]) ).
tff(c_89932,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_89280,c_89920]) ).
tff(c_89936,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_89932,c_86364]) ).
tff(c_90095,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_90083,c_89936]) ).
tff(c_89236,plain,
inverse(sk_c5) = sk_c11,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_89368,plain,
! [X_751,Y_752,Z_753] : ( multiply(multiply(X_751,Y_752),Z_753) = multiply(X_751,multiply(Y_752,Z_753)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_89419,plain,
! [Z_753] : ( multiply(sk_c11,multiply(sk_c1,Z_753)) = multiply(identity,Z_753) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_89368]) ).
tff(c_89442,plain,
! [Z_754] : ( multiply(sk_c11,multiply(sk_c1,Z_754)) = Z_754 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89419]) ).
tff(c_89454,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_89280,c_89442]) ).
tff(c_89425,plain,
! [X_2,Z_753] : ( multiply(inverse(X_2),multiply(X_2,Z_753)) = multiply(identity,Z_753) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_89368]) ).
tff(c_89550,plain,
! [X_758,Z_759] : ( multiply(inverse(X_758),multiply(X_758,Z_759)) = Z_759 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89425]) ).
tff(c_89586,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_89454,c_89550]) ).
tff(c_89668,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_89586]) ).
tff(c_89320,plain,
multiply(sk_c2,sk_c12) = sk_c3,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_89422,plain,
! [Z_753] : ( multiply(sk_c12,multiply(sk_c2,Z_753)) = multiply(identity,Z_753) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_89368]) ).
tff(c_89466,plain,
! [Z_755] : ( multiply(sk_c12,multiply(sk_c2,Z_755)) = Z_755 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89422]) ).
tff(c_89478,plain,
multiply(sk_c12,sk_c3) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_89320,c_89466]) ).
tff(c_89511,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_89478,c_89237]) ).
tff(c_89686,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_89668,c_89511]) ).
tff(c_89353,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_86364,c_8]) ).
tff(c_89595,plain,
multiply(inverse(sk_c4),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_89353,c_89550]) ).
tff(c_89669,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_86363,c_89595]) ).
tff(c_89797,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_89668,c_2,c_89668,c_89669]) ).
tff(c_89798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89686,c_89797]) ).
tff(c_89799,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_90028,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_89799,c_89980]) ).
tff(c_90088,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_89236,c_90028]) ).
tff(c_90338,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_90083,c_2,c_90083,c_90088]) ).
tff(c_90339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90095,c_90338]) ).
tff(c_90340,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_90345,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_90340,c_4]) ).
tff(c_90997,plain,
! [X_786,Y_787,Z_788] : ( multiply(multiply(X_786,Y_787),Z_788) = multiply(X_786,multiply(Y_787,Z_788)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_91027,plain,
! [Z_788] : ( multiply(sk_c9,multiply(sk_c6,Z_788)) = multiply(identity,Z_788) ),
inference(superposition,[status(thm),theory(equality)],[c_90345,c_90997]) ).
tff(c_91091,plain,
! [Z_791] : ( multiply(sk_c9,multiply(sk_c6,Z_791)) = Z_791 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91027]) ).
tff(c_91103,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_90966,c_91091]) ).
tff(c_91048,plain,
! [X_2,Z_788] : ( multiply(inverse(X_2),multiply(X_2,Z_788)) = multiply(identity,Z_788) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_90997]) ).
tff(c_91137,plain,
! [X_793,Z_794] : ( multiply(inverse(X_793),multiply(X_793,Z_794)) = Z_794 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91048]) ).
tff(c_91161,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_91103,c_91137]) ).
tff(c_91241,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_91161]) ).
tff(c_90341,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_90381,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_90341,c_28]) ).
tff(c_91188,plain,
multiply(inverse(sk_c4),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_90381,c_91137]) ).
tff(c_91245,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_86363,c_91188]) ).
tff(c_91342,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_91241,c_2,c_91241,c_91245]) ).
tff(c_91348,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_91342,c_161]) ).
tff(c_91063,plain,
! [X_2,Z_788] : ( multiply(inverse(X_2),multiply(X_2,Z_788)) = Z_788 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91048]) ).
tff(c_91677,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_91348,c_91063]) ).
tff(c_91689,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_91677]) ).
tff(c_91264,plain,
multiply(sk_c1,sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_91241,c_90341]) ).
tff(c_91673,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_91342,c_91264]) ).
tff(c_91693,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_91689,c_91673]) ).
tff(c_91698,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91693]) ).
tff(c_91700,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_91725,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_91700,c_50]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_91790,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_91700,c_48]) ).
tff(c_56,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_91779,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_91700,c_56]) ).
tff(c_58,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_91713,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_91700,c_58]) ).
tff(c_91717,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_91713,c_4]) ).
tff(c_91834,plain,
! [X_800,Y_801,Z_802] : ( multiply(multiply(X_800,Y_801),Z_802) = multiply(X_800,multiply(Y_801,Z_802)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_91873,plain,
! [Z_802] : ( multiply(sk_c9,multiply(sk_c6,Z_802)) = multiply(identity,Z_802) ),
inference(superposition,[status(thm),theory(equality)],[c_91717,c_91834]) ).
tff(c_93415,plain,
! [Z_831] : ( multiply(sk_c9,multiply(sk_c6,Z_831)) = Z_831 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91873]) ).
tff(c_93427,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_91779,c_93415]) ).
tff(c_91882,plain,
! [X_2,Z_802] : ( multiply(inverse(X_2),multiply(X_2,Z_802)) = multiply(identity,Z_802) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_91834]) ).
tff(c_94738,plain,
! [X_850,Z_851] : ( multiply(inverse(X_850),multiply(X_850,Z_851)) = Z_851 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91882]) ).
tff(c_94816,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_93427,c_94738]) ).
tff(c_94928,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_94816]) ).
tff(c_91729,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_91725,c_4]) ).
tff(c_91870,plain,
! [Z_802] : ( multiply(sk_c12,multiply(sk_c4,Z_802)) = multiply(identity,Z_802) ),
inference(superposition,[status(thm),theory(equality)],[c_91729,c_91834]) ).
tff(c_94125,plain,
! [Z_840] : ( multiply(sk_c12,multiply(sk_c4,Z_840)) = Z_840 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91870]) ).
tff(c_94140,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_91790,c_94125]) ).
tff(c_94810,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_94140,c_94738]) ).
tff(c_94927,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_94810]) ).
tff(c_91879,plain,
! [Z_802] : ( multiply(sk_c12,multiply(sk_c2,Z_802)) = multiply(identity,Z_802) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_91834]) ).
tff(c_91895,plain,
! [Z_802] : ( multiply(sk_c12,multiply(sk_c2,Z_802)) = Z_802 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91879]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_91737,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_91700,c_54]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_91796,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_91700,c_52]) ).
tff(c_92688,plain,
! [Z_818] : ( multiply(sk_c12,multiply(sk_c4,Z_818)) = Z_818 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91870]) ).
tff(c_92703,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_91790,c_92688]) ).
tff(c_92814,plain,
! [X_821,Z_822] : ( multiply(inverse(X_821),multiply(X_821,Z_822)) = Z_822 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91882]) ).
tff(c_92853,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_92703,c_92814]) ).
tff(c_92962,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_92853]) ).
tff(c_93002,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_92962,c_91737]) ).
tff(c_93087,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_93002,c_4]) ).
tff(c_91896,plain,
! [X_2,Z_802] : ( multiply(inverse(X_2),multiply(X_2,Z_802)) = Z_802 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91882]) ).
tff(c_93142,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_93087,c_91896]) ).
tff(c_93154,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_93142]) ).
tff(c_93158,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_93154,c_93002]) ).
tff(c_91699,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_91705,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_91699,c_4]) ).
tff(c_64,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_91749,plain,
inverse(sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_91700,c_64]) ).
tff(c_91753,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_91749,c_4]) ).
tff(c_91864,plain,
! [Z_802] : ( multiply(sk_c9,multiply(sk_c7,Z_802)) = multiply(identity,Z_802) ),
inference(superposition,[status(thm),theory(equality)],[c_91753,c_91834]) ).
tff(c_92521,plain,
! [Z_811] : ( multiply(sk_c9,multiply(sk_c7,Z_811)) = Z_811 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91864]) ).
tff(c_92533,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_91705,c_92521]) ).
tff(c_92632,plain,
! [Z_815] : ( multiply(sk_c9,multiply(sk_c6,Z_815)) = Z_815 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91873]) ).
tff(c_92644,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_91779,c_92632]) ).
tff(c_92859,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_92644,c_92814]) ).
tff(c_92963,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_92859]) ).
tff(c_93012,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_92963,c_92644]) ).
tff(c_93016,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_92533,c_93012]) ).
tff(c_60,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_91801,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_91700,c_60]) ).
tff(c_91849,plain,
! [Z_802] : ( multiply(sk_c9,multiply(sk_c11,Z_802)) = multiply(sk_c12,Z_802) ),
inference(superposition,[status(thm),theory(equality)],[c_91801,c_91834]) ).
tff(c_93180,plain,
! [Z_802] : ( multiply(sk_c8,Z_802) = Z_802 ),
inference(demodulation,[status(thm),theory(equality)],[c_93016,c_2,c_92963,c_2,c_92962,c_91849]) ).
tff(c_93068,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_93016,c_92533]) ).
tff(c_93200,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_93180,c_93068]) ).
tff(c_93204,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_93200,c_93016]) ).
tff(c_91990,plain,
! [Z_806] : ( multiply(sk_c9,multiply(sk_c6,Z_806)) = Z_806 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91873]) ).
tff(c_92008,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_91779,c_91990]) ).
tff(c_92023,plain,
! [X_807,Z_808] : ( multiply(inverse(X_807),multiply(X_807,Z_808)) = Z_808 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91882]) ).
tff(c_92041,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_92008,c_92023]) ).
tff(c_92126,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_92041]) ).
tff(c_92074,plain,
multiply(inverse(sk_c4),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_91790,c_92023]) ).
tff(c_92131,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_91725,c_92074]) ).
tff(c_92276,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_92126,c_2,c_92126,c_92131]) ).
tff(c_92071,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_91796,c_92023]) ).
tff(c_92130,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_91737,c_92071]) ).
tff(c_92313,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_92276,c_2,c_92276,c_92130]) ).
tff(c_91898,plain,
multiply(sk_c11,sk_c12) != sk_c10,
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_92140,plain,
multiply(sk_c11,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_92126,c_91898]) ).
tff(c_92511,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_92313,c_2,c_92276,c_92140]) ).
tff(c_92512,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X4_14) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_92655,plain,
! [X8_816,X7_817] :
( ( inverse(multiply(X8_816,inverse(X7_817))) != inverse(X7_817) )
| ( multiply(X8_816,inverse(X7_817)) != inverse(X8_816) )
| ( multiply(inverse(X7_817),sk_c11) != sk_c12 )
| ( multiply(X7_817,inverse(X7_817)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_92512]) ).
tff(c_92666,plain,
! [X8_816] :
( ( inverse(multiply(X8_816,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_816,inverse(sk_c6)) != inverse(X8_816) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_91713,c_92655]) ).
tff(c_92683,plain,
! [X8_816] :
( ( inverse(multiply(X8_816,sk_c9)) != sk_c9 )
| ( multiply(X8_816,sk_c9) != inverse(X8_816) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91779,c_91713,c_91801,c_91713,c_91713,c_91713,c_92666]) ).
tff(c_93311,plain,
! [X8_827] :
( ( inverse(multiply(X8_827,identity)) != identity )
| ( multiply(X8_827,identity) != inverse(X8_827) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93204,c_93204,c_93204,c_92683]) ).
tff(c_93319,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_93311]) ).
tff(c_93327,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_93158,c_93158,c_4,c_93158,c_93319]) ).
tff(c_93328,plain,
! [X2_12,X1_11,X6_7,X4_14] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X4_14) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_92512]) ).
tff(c_93565,plain,
! [X4_835] :
( ( inverse(X4_835) != sk_c11 )
| ( multiply(X4_835,sk_c11) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_93328]) ).
tff(c_93585,plain,
( ( inverse(inverse(sk_c11)) != sk_c11 )
| ( sk_c12 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_93565]) ).
tff(c_93595,plain,
sk_c12 != identity,
inference(splitLeft,[status(thm)],[c_93585]) ).
tff(c_93663,plain,
! [X_837,Z_838] : ( multiply(inverse(X_837),multiply(X_837,Z_838)) = Z_838 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91882]) ).
tff(c_93711,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_93427,c_93663]) ).
tff(c_93815,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_93711]) ).
tff(c_93817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93595,c_93815]) ).
tff(c_93819,plain,
sk_c12 = identity,
inference(splitRight,[status(thm)],[c_93585]) ).
tff(c_93589,plain,
( ( inverse(identity) != sk_c11 )
| ( sk_c12 != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_93565]) ).
tff(c_93594,plain,
sk_c12 != sk_c11,
inference(splitLeft,[status(thm)],[c_93589]) ).
tff(c_93820,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_93819,c_93594]) ).
tff(c_93834,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_93819,c_91729]) ).
tff(c_94006,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_93834,c_2]) ).
tff(c_93832,plain,
multiply(sk_c4,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_93819,c_91790]) ).
tff(c_94015,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_94006,c_93832]) ).
tff(c_94018,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_94015]) ).
tff(c_94020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93820,c_94018]) ).
tff(c_94022,plain,
sk_c12 = sk_c11,
inference(splitRight,[status(thm)],[c_93589]) ).
tff(c_93581,plain,
( ( inverse(sk_c5) != sk_c11 )
| ( sk_c12 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_91796,c_93565]) ).
tff(c_93593,plain,
sk_c12 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_91737,c_93581]) ).
tff(c_94024,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_94022,c_93593]) ).
tff(c_92513,plain,
multiply(sk_c11,sk_c12) = sk_c10,
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_94032,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_94022,c_92513]) ).
tff(c_94033,plain,
multiply(sk_c9,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_94022,c_91801]) ).
tff(c_94035,plain,
multiply(sk_c6,sk_c9) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_94022,c_91779]) ).
tff(c_91893,plain,
! [Z_802] : ( multiply(sk_c9,multiply(sk_c6,Z_802)) = Z_802 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_91873]) ).
tff(c_94100,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_94035,c_91893]) ).
tff(c_94106,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_94033,c_94100]) ).
tff(c_94109,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_94106,c_94033]) ).
tff(c_94121,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_94032,c_94109]) ).
tff(c_94123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94024,c_94121]) ).
tff(c_94124,plain,
! [X6_7,X1_11,X2_12] :
( ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_93328]) ).
tff(c_94345,plain,
! [X2_844] :
( ( inverse(X2_844) != sk_c11 )
| ( multiply(X2_844,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_94124]) ).
tff(c_94368,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_91796,c_94345]) ).
tff(c_94383,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_91737,c_94368]) ).
tff(c_94384,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_94124]) ).
tff(c_94656,plain,
! [X6_849] :
( ( inverse(X6_849) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_849,sk_c12)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_94384]) ).
tff(c_94667,plain,
( ( inverse(sk_c2) != sk_c12 )
| ( sk_c12 != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_91895,c_94656]) ).
tff(c_94696,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_145,c_94667]) ).
tff(c_94959,plain,
sk_c12 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_94927,c_94696]) ).
tff(c_95079,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_94928,c_94959]) ).
tff(c_95158,plain,
! [X1_854] :
( ( inverse(X1_854) != sk_c12 )
| ( multiply(X1_854,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_94384]) ).
tff(c_95178,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_91790,c_95158]) ).
tff(c_95192,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_91725,c_95178]) ).
tff(c_95194,plain,
inverse(sk_c2) != sk_c12,
inference(splitRight,[status(thm)],[c_122]) ).
tff(c_116,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_98393,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_95194,c_116]) ).
tff(c_118,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_98371,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_95194,c_118]) ).
tff(c_98375,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98371,c_4]) ).
tff(c_98466,plain,
! [X_904,Y_905,Z_906] : ( multiply(multiply(X_904,Y_905),Z_906) = multiply(X_904,multiply(Y_905,Z_906)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_98496,plain,
! [Z_906] : ( multiply(sk_c9,multiply(sk_c6,Z_906)) = multiply(identity,Z_906) ),
inference(superposition,[status(thm),theory(equality)],[c_98375,c_98466]) ).
tff(c_98526,plain,
! [Z_907] : ( multiply(sk_c9,multiply(sk_c6,Z_907)) = Z_907 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98496]) ).
tff(c_98538,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_98393,c_98526]) ).
tff(c_98596,plain,
! [Z_910] : ( multiply(sk_c6,multiply(sk_c9,Z_910)) = multiply(sk_c12,Z_910) ),
inference(superposition,[status(thm),theory(equality)],[c_98393,c_98466]) ).
tff(c_98611,plain,
multiply(sk_c6,sk_c9) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_98538,c_98596]) ).
tff(c_98627,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_98393,c_98611]) ).
tff(c_98511,plain,
! [X_2,Z_906] : ( multiply(inverse(X_2),multiply(X_2,Z_906)) = multiply(identity,Z_906) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_98466]) ).
tff(c_98682,plain,
! [X_911,Z_912] : ( multiply(inverse(X_911),multiply(X_911,Z_912)) = Z_912 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98511]) ).
tff(c_98703,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_98627,c_98682]) ).
tff(c_98755,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_98703]) ).
tff(c_110,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_95257,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_95194,c_110]) ).
tff(c_108,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_95296,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_95194,c_108]) ).
tff(c_95273,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_95194,c_116]) ).
tff(c_95219,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_95194,c_118]) ).
tff(c_95223,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_95219,c_4]) ).
tff(c_95340,plain,
! [X_855,Y_856,Z_857] : ( multiply(multiply(X_855,Y_856),Z_857) = multiply(X_855,multiply(Y_856,Z_857)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_95379,plain,
! [Z_857] : ( multiply(sk_c9,multiply(sk_c6,Z_857)) = multiply(identity,Z_857) ),
inference(superposition,[status(thm),theory(equality)],[c_95223,c_95340]) ).
tff(c_95405,plain,
! [Z_858] : ( multiply(sk_c9,multiply(sk_c6,Z_858)) = Z_858 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95379]) ).
tff(c_95417,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_95273,c_95405]) ).
tff(c_95388,plain,
! [X_2,Z_857] : ( multiply(inverse(X_2),multiply(X_2,Z_857)) = multiply(identity,Z_857) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_95340]) ).
tff(c_95508,plain,
! [X_862,Z_863] : ( multiply(inverse(X_862),multiply(X_862,Z_863)) = Z_863 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95388]) ).
tff(c_95544,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_95417,c_95508]) ).
tff(c_95613,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_95544]) ).
tff(c_95261,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_95257,c_4]) ).
tff(c_95370,plain,
! [Z_857] : ( multiply(sk_c12,multiply(sk_c4,Z_857)) = multiply(identity,Z_857) ),
inference(superposition,[status(thm),theory(equality)],[c_95261,c_95340]) ).
tff(c_95447,plain,
! [Z_860] : ( multiply(sk_c12,multiply(sk_c4,Z_860)) = Z_860 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95370]) ).
tff(c_95459,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_95296,c_95447]) ).
tff(c_95535,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_95459,c_95508]) ).
tff(c_95612,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_95535]) ).
tff(c_112,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( inverse(sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_95282,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_95194,c_112]) ).
tff(c_114,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_95231,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_95194,c_114]) ).
tff(c_95235,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_95231,c_4]) ).
tff(c_95376,plain,
! [Z_857] : ( multiply(sk_c11,multiply(sk_c5,Z_857)) = multiply(identity,Z_857) ),
inference(superposition,[status(thm),theory(equality)],[c_95235,c_95340]) ).
tff(c_95478,plain,
! [Z_861] : ( multiply(sk_c11,multiply(sk_c5,Z_861)) = Z_861 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95376]) ).
tff(c_95493,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_95282,c_95478]) ).
tff(c_95526,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_95493,c_95508]) ).
tff(c_95611,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_95526]) ).
tff(c_95404,plain,
multiply(sk_c11,sk_c12) != sk_c10,
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_95623,plain,
multiply(sk_c11,sk_c12) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_95611,c_95404]) ).
tff(c_96011,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_95613,c_2,c_95612,c_95623]) ).
tff(c_96013,plain,
multiply(sk_c11,sk_c12) = sk_c10,
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_97756,plain,
! [Z_897] : ( multiply(sk_c9,multiply(sk_c6,Z_897)) = Z_897 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95379]) ).
tff(c_97780,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_95273,c_97756]) ).
tff(c_95367,plain,
! [Z_857] : ( multiply(sk_c6,multiply(sk_c9,Z_857)) = multiply(sk_c12,Z_857) ),
inference(superposition,[status(thm),theory(equality)],[c_95273,c_95340]) ).
tff(c_97787,plain,
multiply(sk_c6,sk_c9) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_97780,c_95367]) ).
tff(c_97793,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_95273,c_97787]) ).
tff(c_95358,plain,
! [Z_857] : ( multiply(sk_c4,multiply(sk_c12,Z_857)) = multiply(sk_c11,Z_857) ),
inference(superposition,[status(thm),theory(equality)],[c_95296,c_95340]) ).
tff(c_97951,plain,
multiply(sk_c4,sk_c12) = multiply(sk_c11,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_97793,c_95358]) ).
tff(c_97957,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_95296,c_96013,c_97951]) ).
tff(c_96021,plain,
! [Z_869] : ( multiply(sk_c12,multiply(sk_c4,Z_869)) = Z_869 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95370]) ).
tff(c_96033,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_95296,c_96021]) ).
tff(c_120,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( inverse(sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_95302,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_95194,c_120]) ).
tff(c_96911,plain,
! [Z_886] : ( multiply(sk_c6,multiply(sk_c9,Z_886)) = multiply(sk_c12,Z_886) ),
inference(superposition,[status(thm),theory(equality)],[c_95273,c_95340]) ).
tff(c_96929,plain,
multiply(sk_c6,sk_c12) = multiply(sk_c12,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_95302,c_96911]) ).
tff(c_96939,plain,
multiply(sk_c6,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_96033,c_96929]) ).
tff(c_97774,plain,
multiply(sk_c9,sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_96939,c_97756]) ).
tff(c_97795,plain,
sk_c9 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_97774,c_97780]) ).
tff(c_126,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_95287,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_95194,c_126]) ).
tff(c_95193,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_122]) ).
tff(c_95198,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_95193,c_4]) ).
tff(c_95385,plain,
! [Z_857] : ( multiply(sk_c7,multiply(sk_c8,Z_857)) = multiply(identity,Z_857) ),
inference(superposition,[status(thm),theory(equality)],[c_95198,c_95340]) ).
tff(c_96892,plain,
! [Z_885] : ( multiply(sk_c7,multiply(sk_c8,Z_885)) = Z_885 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95385]) ).
tff(c_96907,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_95287,c_96892]) ).
tff(c_124,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_95245,plain,
inverse(sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_95194,c_124]) ).
tff(c_95249,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_95245,c_4]) ).
tff(c_95373,plain,
! [Z_857] : ( multiply(sk_c9,multiply(sk_c7,Z_857)) = multiply(identity,Z_857) ),
inference(superposition,[status(thm),theory(equality)],[c_95249,c_95340]) ).
tff(c_95397,plain,
! [Z_857] : ( multiply(sk_c9,multiply(sk_c7,Z_857)) = Z_857 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95373]) ).
tff(c_96943,plain,
multiply(sk_c9,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_96907,c_95397]) ).
tff(c_97835,plain,
multiply(sk_c12,sk_c12) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_97795,c_97795,c_96943]) ).
tff(c_97947,plain,
sk_c7 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_97793,c_97835]) ).
tff(c_97844,plain,
inverse(sk_c7) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_97795,c_95245]) ).
tff(c_97856,plain,
multiply(sk_c12,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97844,c_4]) ).
tff(c_98009,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97793,c_97947,c_97856]) ).
tff(c_95396,plain,
! [Z_857] : ( multiply(sk_c12,multiply(sk_c4,Z_857)) = Z_857 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95370]) ).
tff(c_96319,plain,
! [X_878,Z_879] : ( multiply(inverse(X_878),multiply(X_878,Z_879)) = Z_879 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95388]) ).
tff(c_96385,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_96033,c_96319]) ).
tff(c_96463,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_96385]) ).
tff(c_96195,plain,
! [Z_875] : ( multiply(sk_c11,multiply(sk_c5,Z_875)) = Z_875 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95376]) ).
tff(c_96207,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_95282,c_96195]) ).
tff(c_96355,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_96207,c_96319]) ).
tff(c_96457,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_96355]) ).
tff(c_96509,plain,
multiply(sk_c11,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_96457,c_96013]) ).
tff(c_96690,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_96463,c_96509]) ).
tff(c_96088,plain,
! [Z_872] : ( multiply(sk_c6,multiply(sk_c9,Z_872)) = multiply(sk_c12,Z_872) ),
inference(superposition,[status(thm),theory(equality)],[c_95273,c_95340]) ).
tff(c_96106,plain,
multiply(sk_c6,sk_c12) = multiply(sk_c12,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_95302,c_96088]) ).
tff(c_96116,plain,
multiply(sk_c6,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_96033,c_96106]) ).
tff(c_96268,plain,
! [Z_877] : ( multiply(sk_c9,multiply(sk_c6,Z_877)) = Z_877 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95379]) ).
tff(c_96286,plain,
multiply(sk_c9,sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_96116,c_96268]) ).
tff(c_96292,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_95273,c_96268]) ).
tff(c_96307,plain,
sk_c9 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_96286,c_96292]) ).
tff(c_96498,plain,
inverse(sk_c6) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_96307,c_95219]) ).
tff(c_96587,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_96498,c_4]) ).
tff(c_96750,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_96690,c_96587]) ).
tff(c_96694,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_96690,c_96498]) ).
tff(c_96751,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_96750,c_96694]) ).
tff(c_96695,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_96690,c_96307]) ).
tff(c_96012,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X4_14) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_96161,plain,
! [X8_873,X7_874] :
( ( inverse(multiply(X8_873,inverse(X7_874))) != inverse(X7_874) )
| ( multiply(X8_873,inverse(X7_874)) != inverse(X8_873) )
| ( multiply(inverse(X7_874),sk_c11) != sk_c12 )
| ( multiply(X7_874,inverse(X7_874)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_96012]) ).
tff(c_96172,plain,
! [X8_873] :
( ( inverse(multiply(X8_873,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_873,inverse(sk_c6)) != inverse(X8_873) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_95219,c_96161]) ).
tff(c_96190,plain,
! [X8_873] :
( ( inverse(multiply(X8_873,sk_c9)) != sk_c9 )
| ( multiply(X8_873,sk_c9) != inverse(X8_873) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95273,c_95219,c_95302,c_95219,c_95219,c_95219,c_96172]) ).
tff(c_96850,plain,
! [X8_883] :
( ( inverse(multiply(X8_883,identity)) != identity )
| ( multiply(X8_883,identity) != inverse(X8_883) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96695,c_96695,c_96695,c_96190]) ).
tff(c_96858,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_96850]) ).
tff(c_96866,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96751,c_96751,c_4,c_96751,c_96858]) ).
tff(c_96867,plain,
! [X2_12,X1_11,X6_7,X4_14] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X4_14) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_96012]) ).
tff(c_97110,plain,
! [X4_890] :
( ( inverse(X4_890) != sk_c11 )
| ( multiply(X4_890,sk_c11) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_96867]) ).
tff(c_97127,plain,
( ( inverse(inverse(sk_c11)) != sk_c11 )
| ( sk_c12 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_97110]) ).
tff(c_97185,plain,
sk_c12 != identity,
inference(splitLeft,[status(thm)],[c_97127]) ).
tff(c_97071,plain,
! [Z_889] : ( multiply(sk_c9,multiply(sk_c6,Z_889)) = Z_889 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95379]) ).
tff(c_97095,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_95273,c_97071]) ).
tff(c_97102,plain,
multiply(sk_c6,sk_c9) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_97095,c_95367]) ).
tff(c_97108,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_95273,c_97102]) ).
tff(c_97254,plain,
! [X_891,Z_892] : ( multiply(inverse(X_891),multiply(X_891,Z_892)) = Z_892 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95388]) ).
tff(c_97278,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_97108,c_97254]) ).
tff(c_97348,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_97278]) ).
tff(c_97350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97185,c_97348]) ).
tff(c_97352,plain,
sk_c12 = identity,
inference(splitRight,[status(thm)],[c_97127]) ).
tff(c_97131,plain,
( ( inverse(identity) != sk_c11 )
| ( sk_c12 != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_97110]) ).
tff(c_97136,plain,
sk_c12 != sk_c11,
inference(splitLeft,[status(thm)],[c_97131]) ).
tff(c_97356,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_97352,c_97136]) ).
tff(c_95206,plain,
inverse(sk_c1) = sk_c11,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_96868,plain,
! [Z_884] : ( multiply(sk_c9,multiply(sk_c7,Z_884)) = Z_884 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95373]) ).
tff(c_96880,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_95198,c_96868]) ).
tff(c_95210,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_95206,c_4]) ).
tff(c_97016,plain,
! [Z_888] : ( multiply(sk_c9,multiply(sk_c11,Z_888)) = multiply(sk_c12,Z_888) ),
inference(superposition,[status(thm),theory(equality)],[c_95302,c_95340]) ).
tff(c_97043,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c1),
inference(superposition,[status(thm),theory(equality)],[c_95210,c_97016]) ).
tff(c_97049,plain,
multiply(sk_c12,sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_96880,c_97043]) ).
tff(c_97361,plain,
multiply(identity,sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_97352,c_97049]) ).
tff(c_97373,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97361]) ).
tff(c_97089,plain,
multiply(sk_c9,sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_96939,c_97071]) ).
tff(c_97137,plain,
sk_c9 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_97089,c_97095]) ).
tff(c_97162,plain,
inverse(sk_c7) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_97137,c_95245]) ).
tff(c_97174,plain,
multiply(sk_c12,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97162,c_4]) ).
tff(c_97381,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97352,c_97174]) ).
tff(c_97384,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97381,c_95193]) ).
tff(c_97458,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_95206,c_97373,c_97384]) ).
tff(c_97459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97356,c_97458]) ).
tff(c_97461,plain,
sk_c12 = sk_c11,
inference(splitRight,[status(thm)],[c_97131]) ).
tff(c_97123,plain,
( ( inverse(sk_c5) != sk_c11 )
| ( sk_c12 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_95282,c_97110]) ).
tff(c_97135,plain,
sk_c12 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_95231,c_97123]) ).
tff(c_97463,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_97461,c_97135]) ).
tff(c_97476,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_97461,c_96013]) ).
tff(c_97477,plain,
multiply(sk_c9,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_97461,c_95302]) ).
tff(c_97479,plain,
multiply(sk_c6,sk_c9) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_97461,c_95273]) ).
tff(c_95399,plain,
! [Z_857] : ( multiply(sk_c9,multiply(sk_c6,Z_857)) = Z_857 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95379]) ).
tff(c_97551,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_97479,c_95399]) ).
tff(c_97557,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_97477,c_97551]) ).
tff(c_97560,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_97557,c_97477]) ).
tff(c_97570,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_97476,c_97560]) ).
tff(c_97572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97463,c_97570]) ).
tff(c_97573,plain,
! [X6_7,X1_11,X2_12] :
( ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_96867]) ).
tff(c_97732,plain,
! [X2_896] :
( ( inverse(X2_896) != sk_c11 )
| ( multiply(X2_896,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_97573]) ).
tff(c_97742,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_95282,c_97732]) ).
tff(c_97754,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_95231,c_97742]) ).
tff(c_97755,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_97573]) ).
tff(c_97971,plain,
! [X6_899] :
( ( inverse(X6_899) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_899,sk_c12)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_97755]) ).
tff(c_97981,plain,
( ( inverse(sk_c4) != sk_c12 )
| ( sk_c12 != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_95396,c_97971]) ).
tff(c_98004,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_95257,c_97981]) ).
tff(c_98010,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_98009,c_98004]) ).
tff(c_98060,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_97957,c_98010]) ).
tff(c_98024,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_98009,c_95261]) ).
tff(c_95402,plain,
! [X_2,Z_857] : ( multiply(inverse(X_2),multiply(X_2,Z_857)) = Z_857 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95388]) ).
tff(c_98196,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_98024,c_95402]) ).
tff(c_98208,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_98196]) ).
tff(c_98023,plain,
multiply(sk_c4,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_98009,c_95296]) ).
tff(c_98243,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98208,c_97957,c_98023]) ).
tff(c_98244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98060,c_98243]) ).
tff(c_98301,plain,
! [X1_903] :
( ( inverse(X1_903) != sk_c12 )
| ( multiply(X1_903,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_97755]) ).
tff(c_98317,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_95296,c_98301]) ).
tff(c_98331,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_95257,c_98317]) ).
tff(c_98333,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_98419,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_98333,c_48]) ).
tff(c_98345,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_98333,c_50]) ).
tff(c_98349,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98345,c_4]) ).
tff(c_98502,plain,
! [Z_906] : ( multiply(sk_c12,multiply(sk_c4,Z_906)) = multiply(identity,Z_906) ),
inference(superposition,[status(thm),theory(equality)],[c_98349,c_98466]) ).
tff(c_98549,plain,
! [Z_908] : ( multiply(sk_c12,multiply(sk_c4,Z_908)) = Z_908 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98502]) ).
tff(c_98561,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_98419,c_98549]) ).
tff(c_98715,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_98561,c_98682]) ).
tff(c_98758,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_98715]) ).
tff(c_98409,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_95194,c_112]) ).
tff(c_98359,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_95194,c_114]) ).
tff(c_98363,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98359,c_4]) ).
tff(c_98499,plain,
! [Z_906] : ( multiply(sk_c11,multiply(sk_c5,Z_906)) = multiply(identity,Z_906) ),
inference(superposition,[status(thm),theory(equality)],[c_98363,c_98466]) ).
tff(c_98573,plain,
! [Z_909] : ( multiply(sk_c11,multiply(sk_c5,Z_909)) = Z_909 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98499]) ).
tff(c_98585,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_98409,c_98573]) ).
tff(c_98709,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_98585,c_98682]) ).
tff(c_98757,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_98709]) ).
tff(c_98572,plain,
multiply(sk_c11,sk_c12) != sk_c10,
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_98764,plain,
multiply(sk_c11,sk_c12) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_98757,c_98572]) ).
tff(c_98951,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98755,c_2,c_98758,c_98764]) ).
tff(c_98953,plain,
multiply(sk_c11,sk_c12) = sk_c10,
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_101097,plain,
! [Z_947] : ( multiply(sk_c11,multiply(sk_c12,Z_947)) = multiply(sk_c10,Z_947) ),
inference(superposition,[status(thm),theory(equality)],[c_98953,c_6]) ).
tff(c_101109,plain,
multiply(sk_c11,sk_c12) = multiply(sk_c10,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_98561,c_101097]) ).
tff(c_101119,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_98953,c_101109]) ).
tff(c_101273,plain,
! [X_949,Z_950] : ( multiply(inverse(X_949),multiply(X_949,Z_950)) = Z_950 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98511]) ).
tff(c_101309,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_101119,c_101273]) ).
tff(c_101367,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_101309]) ).
tff(c_99860,plain,
! [Z_930] : ( multiply(sk_c11,multiply(sk_c5,Z_930)) = Z_930 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98499]) ).
tff(c_99872,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_98409,c_99860]) ).
tff(c_101330,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_99872,c_101273]) ).
tff(c_101372,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_101330]) ).
tff(c_98508,plain,
! [Z_906] : ( multiply(sk_c7,multiply(sk_c8,Z_906)) = multiply(identity,Z_906) ),
inference(superposition,[status(thm),theory(equality)],[c_95198,c_98466]) ).
tff(c_98523,plain,
! [Z_906] : ( multiply(sk_c7,multiply(sk_c8,Z_906)) = Z_906 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98508]) ).
tff(c_98332,plain,
inverse(sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_98337,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98332,c_4]) ).
tff(c_98505,plain,
! [Z_906] : ( multiply(sk_c9,multiply(sk_c7,Z_906)) = multiply(identity,Z_906) ),
inference(superposition,[status(thm),theory(equality)],[c_98337,c_98466]) ).
tff(c_99950,plain,
! [Z_933] : ( multiply(sk_c9,multiply(sk_c7,Z_933)) = Z_933 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98505]) ).
tff(c_100630,plain,
! [Z_941] : ( multiply(sk_c9,Z_941) = multiply(sk_c8,Z_941) ),
inference(superposition,[status(thm),theory(equality)],[c_98523,c_99950]) ).
tff(c_100684,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98375,c_100630]) ).
tff(c_100902,plain,
multiply(sk_c7,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_100684,c_98523]) ).
tff(c_100660,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_100630,c_98337]) ).
tff(c_100888,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_100660,c_98523]) ).
tff(c_101127,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_100902,c_100888]) ).
tff(c_98399,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_98333,c_60]) ).
tff(c_100681,plain,
multiply(sk_c8,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_98399,c_100630]) ).
tff(c_100843,plain,
multiply(sk_c7,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_100681,c_98523]) ).
tff(c_101156,plain,
multiply(sk_c6,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_101127,c_100843]) ).
tff(c_99965,plain,
! [Z_906] : ( multiply(sk_c9,Z_906) = multiply(sk_c8,Z_906) ),
inference(superposition,[status(thm),theory(equality)],[c_98523,c_99950]) ).
tff(c_98493,plain,
! [Z_906] : ( multiply(sk_c6,multiply(sk_c9,Z_906)) = multiply(sk_c12,Z_906) ),
inference(superposition,[status(thm),theory(equality)],[c_98393,c_98466]) ).
tff(c_100852,plain,
! [Z_944] : ( multiply(sk_c6,multiply(sk_c8,Z_944)) = multiply(sk_c12,Z_944) ),
inference(demodulation,[status(thm),theory(equality)],[c_99965,c_98493]) ).
tff(c_100867,plain,
multiply(sk_c6,sk_c12) = multiply(sk_c12,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_100681,c_100852]) ).
tff(c_100880,plain,
multiply(sk_c6,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_98561,c_100867]) ).
tff(c_101168,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_101156,c_100880]) ).
tff(c_98520,plain,
! [Z_906] : ( multiply(sk_c11,multiply(sk_c5,Z_906)) = Z_906 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98499]) ).
tff(c_100969,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_100902,c_100888]) ).
tff(c_100998,plain,
multiply(sk_c6,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_100969,c_100843]) ).
tff(c_101010,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_100998,c_100880]) ).
tff(c_99988,plain,
! [Z_934] : ( multiply(sk_c9,Z_934) = multiply(sk_c8,Z_934) ),
inference(superposition,[status(thm),theory(equality)],[c_98523,c_99950]) ).
tff(c_100039,plain,
multiply(sk_c8,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_98399,c_99988]) ).
tff(c_99256,plain,
! [X_923,Z_924] : ( multiply(inverse(X_923),multiply(X_923,Z_924)) = Z_924 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98511]) ).
tff(c_99331,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_98538,c_99256]) ).
tff(c_99403,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99331]) ).
tff(c_99447,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_99403,c_98345]) ).
tff(c_99516,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_99447,c_4]) ).
tff(c_98524,plain,
! [X_2,Z_906] : ( multiply(inverse(X_2),multiply(X_2,Z_906)) = Z_906 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98511]) ).
tff(c_99572,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_99516,c_98524]) ).
tff(c_99584,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99572]) ).
tff(c_99588,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_99584,c_99447]) ).
tff(c_99052,plain,
! [Z_918] : ( multiply(sk_c9,multiply(sk_c7,Z_918)) = Z_918 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98505]) ).
tff(c_99120,plain,
! [Z_921] : ( multiply(sk_c9,Z_921) = multiply(sk_c8,Z_921) ),
inference(superposition,[status(thm),theory(equality)],[c_98523,c_99052]) ).
tff(c_99070,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_95198,c_99052]) ).
tff(c_99132,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_99120,c_99070]) ).
tff(c_99325,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_98561,c_99256]) ).
tff(c_99402,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99325]) ).
tff(c_99147,plain,
multiply(sk_c8,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_99120,c_98399]) ).
tff(c_99765,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_99403,c_99132,c_99402,c_99147]) ).
tff(c_99444,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_99403,c_98538]) ).
tff(c_99450,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_99070,c_99444]) ).
tff(c_99773,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_99765,c_99450]) ).
tff(c_98952,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X4_14) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_99082,plain,
! [X8_919,X7_920] :
( ( inverse(multiply(X8_919,inverse(X7_920))) != inverse(X7_920) )
| ( multiply(X8_919,inverse(X7_920)) != inverse(X8_919) )
| ( multiply(inverse(X7_920),sk_c11) != sk_c12 )
| ( multiply(X7_920,inverse(X7_920)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_98952]) ).
tff(c_99087,plain,
! [X8_919] :
( ( inverse(multiply(X8_919,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_919,inverse(sk_c6)) != inverse(X8_919) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_98371,c_99082]) ).
tff(c_99104,plain,
! [X8_919] :
( ( inverse(multiply(X8_919,sk_c9)) != sk_c9 )
| ( multiply(X8_919,sk_c9) != inverse(X8_919) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98393,c_98371,c_98399,c_98371,c_98371,c_98371,c_99087]) ).
tff(c_99842,plain,
! [X8_929] :
( ( inverse(multiply(X8_929,identity)) != identity )
| ( multiply(X8_929,identity) != inverse(X8_929) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99773,c_99773,c_99773,c_99104]) ).
tff(c_99850,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_99842]) ).
tff(c_99858,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_99588,c_99588,c_4,c_99588,c_99850]) ).
tff(c_99859,plain,
! [X2_12,X1_11,X6_7,X4_14] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X4_14) != sk_c11 )
| ( multiply(X4_14,sk_c11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_98952]) ).
tff(c_100130,plain,
! [X4_936] :
( ( inverse(X4_936) != sk_c11 )
| ( multiply(X4_936,sk_c11) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_99859]) ).
tff(c_100133,plain,
inverse(sk_c8) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_100039,c_100130]) ).
tff(c_100163,plain,
sk_c7 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_95193,c_100133]) ).
tff(c_99899,plain,
! [Z_932] : ( multiply(sk_c4,multiply(sk_c12,Z_932)) = multiply(sk_c11,Z_932) ),
inference(superposition,[status(thm),theory(equality)],[c_98419,c_98466]) ).
tff(c_99914,plain,
multiply(sk_c4,sk_c12) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_98561,c_99899]) ).
tff(c_99924,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_98419,c_99914]) ).
tff(c_100157,plain,
( ( inverse(inverse(sk_c11)) != sk_c11 )
| ( sk_c12 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_100130]) ).
tff(c_100173,plain,
sk_c12 != identity,
inference(splitLeft,[status(thm)],[c_100157]) ).
tff(c_100033,plain,
multiply(sk_c8,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_98538,c_99988]) ).
tff(c_100186,plain,
! [Z_937] : ( multiply(sk_c6,multiply(sk_c8,Z_937)) = multiply(sk_c12,Z_937) ),
inference(demodulation,[status(thm),theory(equality)],[c_99965,c_98493]) ).
tff(c_100207,plain,
multiply(sk_c6,sk_c9) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_100033,c_100186]) ).
tff(c_100220,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_98393,c_100207]) ).
tff(c_100287,plain,
! [X_938,Z_939] : ( multiply(inverse(X_938),multiply(X_938,Z_939)) = Z_939 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98511]) ).
tff(c_100305,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_100220,c_100287]) ).
tff(c_100396,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_100305]) ).
tff(c_100398,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100173,c_100396]) ).
tff(c_100400,plain,
sk_c12 = identity,
inference(splitRight,[status(thm)],[c_100157]) ).
tff(c_100161,plain,
( ( inverse(identity) != sk_c11 )
| ( sk_c12 != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_100130]) ).
tff(c_100170,plain,
sk_c12 != sk_c11,
inference(splitLeft,[status(thm)],[c_100161]) ).
tff(c_100402,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_100400,c_100170]) ).
tff(c_100417,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_100400,c_98345]) ).
tff(c_100481,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_100417,c_4]) ).
tff(c_100524,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_100481,c_2]) ).
tff(c_100413,plain,
multiply(sk_c4,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_100400,c_98419]) ).
tff(c_100533,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_100524,c_100413]) ).
tff(c_100536,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100533]) ).
tff(c_100538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100402,c_100536]) ).
tff(c_100540,plain,
sk_c12 = sk_c11,
inference(splitRight,[status(thm)],[c_100161]) ).
tff(c_100552,plain,
multiply(sk_c9,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_100540,c_98399]) ).
tff(c_100553,plain,
multiply(sk_c6,sk_c9) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_100540,c_98393]) ).
tff(c_98519,plain,
! [Z_906] : ( multiply(sk_c9,multiply(sk_c6,Z_906)) = Z_906 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98496]) ).
tff(c_100595,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_100553,c_98519]) ).
tff(c_100601,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_100552,c_100595]) ).
tff(c_98426,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_95194,c_126]) ).
tff(c_99883,plain,
! [Z_931] : ( multiply(sk_c7,multiply(sk_c8,Z_931)) = Z_931 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98508]) ).
tff(c_99895,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_98426,c_99883]) ).
tff(c_99962,plain,
multiply(sk_c9,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_99895,c_99950]) ).
tff(c_100608,plain,
multiply(sk_c11,sk_c11) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_100601,c_100601,c_99962]) ).
tff(c_100619,plain,
sk_c7 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_99924,c_100608]) ).
tff(c_100621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100163,c_100619]) ).
tff(c_100622,plain,
! [X6_7,X1_11,X2_12] :
( ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_99859]) ).
tff(c_100790,plain,
! [X2_943] :
( ( inverse(X2_943) != sk_c11 )
| ( multiply(X2_943,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_100622]) ).
tff(c_100810,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_98409,c_100790]) ).
tff(c_100827,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98359,c_100810]) ).
tff(c_100828,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_100622]) ).
tff(c_100913,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c12 )
| ( multiply(sk_c12,multiply(X6_7,sk_c12)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_100828]) ).
tff(c_101033,plain,
! [X6_946] :
( ( inverse(X6_946) != sk_c11 )
| ( multiply(sk_c11,multiply(X6_946,sk_c11)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101010,c_101010,c_101010,c_100913]) ).
tff(c_101047,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_98520,c_101033]) ).
tff(c_101070,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98359,c_101047]) ).
tff(c_101071,plain,
! [X1_11] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_100828]) ).
tff(c_101191,plain,
! [X1_948] :
( ( inverse(X1_948) != sk_c11 )
| ( multiply(X1_948,sk_c11) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101168,c_101168,c_101071]) ).
tff(c_101208,plain,
( ( inverse(sk_c5) != sk_c11 )
| ( sk_c11 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_98409,c_101191]) ).
tff(c_101219,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_98359,c_101208]) ).
tff(c_101376,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_101372,c_101219]) ).
tff(c_101410,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_101367,c_101376]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : GRP318-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.16 % 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
% 0.16/0.38 % Computer : n011.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Thu Aug 3 22:01:51 EDT 2023
% 0.16/0.38 % CPUTime :
% 22.82/10.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.29/10.71
% 23.29/10.71 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 23.45/10.81
% 23.45/10.81 Inference rules
% 23.45/10.81 ----------------------
% 23.45/10.81 #Ref : 0
% 23.45/10.81 #Sup : 25206
% 23.45/10.81 #Fact : 0
% 23.45/10.81 #Define : 0
% 23.45/10.81 #Split : 72
% 23.45/10.81 #Chain : 0
% 23.45/10.81 #Close : 0
% 23.45/10.81
% 23.45/10.81 Ordering : KBO
% 23.45/10.81
% 23.45/10.81 Simplification rules
% 23.45/10.81 ----------------------
% 23.45/10.81 #Subsume : 43
% 23.45/10.81 #Demod : 70719
% 23.45/10.81 #Tautology : 19596
% 23.45/10.81 #SimpNegUnit : 273
% 23.45/10.81 #BackRed : 1806
% 23.45/10.81
% 23.45/10.81 #Partial instantiations: 0
% 23.45/10.81 #Strategies tried : 1
% 23.45/10.81
% 23.45/10.81 Timing (in seconds)
% 23.45/10.81 ----------------------
% 23.45/10.82 Preprocessing : 0.59
% 23.45/10.82 Parsing : 0.20
% 23.45/10.82 CNF conversion : 0.03
% 23.45/10.82 Main loop : 8.89
% 23.45/10.82 Inferencing : 2.15
% 23.45/10.82 Reduction : 5.38
% 23.45/10.82 Demodulation : 5.01
% 23.45/10.82 BG Simplification : 0.18
% 23.45/10.82 Subsumption : 0.81
% 23.45/10.82 Abstraction : 0.50
% 23.45/10.82 MUC search : 0.00
% 23.45/10.82 Cooper : 0.00
% 23.45/10.82 Total : 9.76
% 23.45/10.82 Index Insertion : 0.00
% 23.45/10.82 Index Deletion : 0.00
% 23.45/10.82 Index Matching : 0.00
% 23.45/10.82 BG Taut test : 0.00
%------------------------------------------------------------------------------