%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP220-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n012.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 : Wed Apr 9 06:25:35 PM UTC 2025
% Result : Unsatisfiable 71.45s 54.62s
% Output : CNFRefutation 72.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 62
% Syntax : Number of formulae : 1697 (1418 unt; 0 typ; 0 def)
% Number of atoms : 2372 (2297 equ)
% Maximal formula atoms : 17 ( 1 avg)
% Number of connectives : 1509 ( 834 ~; 675 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 953 ( 953 !; 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_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( inverse(sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_212,axiom,
( ( multiply(sk_c12,sk_c5) = sk_c11 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( multiply(sk_c12,sk_c5) = sk_c11 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_239,axiom,
( ( multiply(sk_c4,sk_c12) = sk_c5 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_275,axiom,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c11 )
| ( inverse(sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( multiply(sk_c12,sk_c5) = sk_c11 )
| ( inverse(sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_329,axiom,
! [X5,X6,X3,X9,X7,X1,X2,X8,X4,X10] :
( ( inverse(X6) != sk_c12 )
| ( multiply(X6,sk_c11) != sk_c12 )
| ( multiply(X7,X8) != sk_c11 )
| ( inverse(X7) != X8 )
| ( multiply(X8,sk_c12) != sk_c11 )
| ( multiply(sk_c12,X9) != sk_c11 )
| ( multiply(X10,sk_c12) != X9 )
| ( inverse(X10) != sk_c12 )
| ( inverse(sk_c12) != sk_c11 )
| ( inverse(X1) != sk_c12 )
| ( multiply(X1,sk_c11) != sk_c12 )
| ( multiply(X3,X2) != sk_c12 )
| ( inverse(X3) != X2 )
| ( multiply(X2,sk_c11) != sk_c12 )
| ( inverse(X4) != X5 )
| ( inverse(X5) != X2 )
| ( multiply(X4,X2) != X5 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c11 )
| ( inverse(sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( inverse(sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
( ( multiply(sk_c4,sk_c12) = sk_c5 )
| ( inverse(sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_215,axiom,
( ( multiply(sk_c12,sk_c5) = sk_c11 )
| ( multiply(sk_c10,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ( multiply(sk_c12,sk_c5) = sk_c11 )
| ( inverse(sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_218,axiom,
( ( multiply(sk_c12,sk_c5) = sk_c11 )
| ( inverse(sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_236,axiom,
( ( multiply(sk_c4,sk_c12) = sk_c5 )
| ( multiply(sk_c7,sk_c10) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( multiply(sk_c12,sk_c5) = sk_c11 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c11 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c11 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c11 )
| ( multiply(sk_c7,sk_c10) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_233,axiom,
( ( multiply(sk_c4,sk_c12) = sk_c5 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_230,axiom,
( ( multiply(sk_c4,sk_c12) = sk_c5 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
( ( multiply(sk_c12,sk_c5) = sk_c11 )
| ( multiply(sk_c9,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_245,axiom,
( ( multiply(sk_c4,sk_c12) = sk_c5 )
| ( inverse(sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_248,axiom,
( ( multiply(sk_c4,sk_c12) = sk_c5 )
| ( inverse(sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_242,axiom,
( ( multiply(sk_c4,sk_c12) = sk_c5 )
| ( multiply(sk_c10,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c11 )
| ( inverse(sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( multiply(sk_c10,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( multiply(sk_c9,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c11 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c11 )
| ( multiply(sk_c7,sk_c10) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c12 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ( multiply(sk_c12,sk_c5) = sk_c11 )
| ( multiply(sk_c7,sk_c10) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c11 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c11 )
| ( multiply(sk_c10,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_251,axiom,
( ( multiply(sk_c4,sk_c12) = sk_c5 )
| ( multiply(sk_c9,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c7,sk_c10) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c10,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c7,sk_c10) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_260,axiom,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_278,axiom,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c9,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_272,axiom,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_263,axiom,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c7,sk_c10) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_254,axiom,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_257,axiom,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_266,axiom,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_269,axiom,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c10,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c9,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_458437,plain,
! [X_2631,Y_2632,Z_2633] : ( multiply(multiply(X_2631,Y_2632),Z_2633) = multiply(X_2631,multiply(Y_2632,Z_2633)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_458482,plain,
! [X_2,Z_2633] : ( multiply(inverse(X_2),multiply(X_2,Z_2633)) = multiply(identity,Z_2633) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_458437]) ).
tff(c_458496,plain,
! [X_2,Z_2633] : ( multiply(inverse(X_2),multiply(X_2,Z_2633)) = Z_2633 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_458482]) ).
tff(c_482213,plain,
! [X_2818,Z_2819] : ( multiply(inverse(X_2818),multiply(X_2818,Z_2819)) = Z_2819 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_458482]) ).
tff(c_482455,plain,
! [X_2822,Z_2823] : ( multiply(inverse(inverse(X_2822)),Z_2823) = multiply(X_2822,Z_2823) ),
inference(superposition,[status(thm),theory(equality)],[c_458496,c_482213]) ).
tff(c_482476,plain,
! [X_2822] : ( multiply(X_2822,inverse(X_2822)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_482455,c_4]) ).
tff(c_423862,plain,
! [X_2321,Y_2322,Z_2323] : ( multiply(multiply(X_2321,Y_2322),Z_2323) = multiply(X_2321,multiply(Y_2322,Z_2323)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_423910,plain,
! [X_2,Z_2323] : ( multiply(inverse(X_2),multiply(X_2,Z_2323)) = multiply(identity,Z_2323) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_423862]) ).
tff(c_433545,plain,
! [X_2456,Z_2457] : ( multiply(inverse(X_2456),multiply(X_2456,Z_2457)) = Z_2457 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_423910]) ).
tff(c_423925,plain,
! [X_2,Z_2323] : ( multiply(inverse(X_2),multiply(X_2,Z_2323)) = Z_2323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_423910]) ).
tff(c_433794,plain,
! [X_2459,Z_2460] : ( multiply(inverse(inverse(X_2459)),Z_2460) = multiply(X_2459,Z_2460) ),
inference(superposition,[status(thm),theory(equality)],[c_433545,c_423925]) ).
tff(c_433596,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_433545]) ).
tff(c_433801,plain,
! [X_2459] : ( multiply(X_2459,identity) = X_2459 ),
inference(superposition,[status(thm),theory(equality)],[c_433794,c_433596]) ).
tff(c_203619,plain,
! [X_1189,Y_1190,Z_1191] : ( multiply(multiply(X_1189,Y_1190),Z_1191) = multiply(X_1189,multiply(Y_1190,Z_1191)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_203676,plain,
! [X_2,Z_1191] : ( multiply(inverse(X_2),multiply(X_2,Z_1191)) = multiply(identity,Z_1191) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_203619]) ).
tff(c_203692,plain,
! [X_2,Z_1191] : ( multiply(inverse(X_2),multiply(X_2,Z_1191)) = Z_1191 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203676]) ).
tff(c_220463,plain,
! [X_1366,Z_1367] : ( multiply(inverse(X_1366),multiply(X_1366,Z_1367)) = Z_1367 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203676]) ).
tff(c_220999,plain,
! [X_1372,Z_1373] : ( multiply(inverse(inverse(X_1372)),Z_1373) = multiply(X_1372,Z_1373) ),
inference(superposition,[status(thm),theory(equality)],[c_203692,c_220463]) ).
tff(c_220526,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_220463]) ).
tff(c_221009,plain,
! [X_1372] : ( multiply(X_1372,identity) = X_1372 ),
inference(superposition,[status(thm),theory(equality)],[c_220999,c_220526]) ).
tff(c_211121,plain,
! [X_1278,Z_1279] : ( multiply(inverse(X_1278),multiply(X_1278,Z_1279)) = Z_1279 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203676]) ).
tff(c_211590,plain,
! [X_1282,Z_1283] : ( multiply(inverse(inverse(X_1282)),Z_1283) = multiply(X_1282,Z_1283) ),
inference(superposition,[status(thm),theory(equality)],[c_211121,c_203692]) ).
tff(c_211637,plain,
! [X_1282] : ( multiply(X_1282,inverse(X_1282)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_211590]) ).
tff(c_211193,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_211121]) ).
tff(c_211600,plain,
! [X_1282] : ( multiply(X_1282,identity) = X_1282 ),
inference(superposition,[status(thm),theory(equality)],[c_211590,c_211193]) ).
tff(c_38,plain,
( ( inverse(sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_203105,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_10,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_195,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_199,plain,
multiply(sk_c12,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_195,c_4]) ).
tff(c_203667,plain,
! [Z_1191] : ( multiply(sk_c12,multiply(sk_c1,Z_1191)) = multiply(identity,Z_1191) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_203619]) ).
tff(c_203694,plain,
! [Z_1192] : ( multiply(sk_c12,multiply(sk_c1,Z_1192)) = Z_1192 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203667]) ).
tff(c_203706,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_203105,c_203694]) ).
tff(c_106,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c12,sk_c5) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_137409,plain,
multiply(sk_c12,sk_c5) = sk_c11,
inference(splitLeft,[status(thm)],[c_106]) ).
tff(c_100,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( multiply(sk_c12,sk_c5) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_135563,plain,
multiply(sk_c12,sk_c5) = sk_c11,
inference(splitLeft,[status(thm)],[c_100]) ).
tff(c_124,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c4,sk_c12) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_135557,plain,
multiply(sk_c4,sk_c12) = sk_c5,
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_148,plain,
( ( inverse(sk_c8) = sk_c10 )
| ( inverse(sk_c4) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_169,plain,
inverse(sk_c4) = sk_c12,
inference(splitLeft,[status(thm)],[c_148]) ).
tff(c_173,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_169,c_4]) ).
tff(c_136648,plain,
! [X_691,Y_692,Z_693] : ( multiply(multiply(X_691,Y_692),Z_693) = multiply(X_691,multiply(Y_692,Z_693)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_136705,plain,
! [Z_693] : ( multiply(sk_c12,multiply(sk_c4,Z_693)) = multiply(identity,Z_693) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_136648]) ).
tff(c_136739,plain,
! [Z_695] : ( multiply(sk_c12,multiply(sk_c4,Z_695)) = Z_695 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136705]) ).
tff(c_136751,plain,
multiply(sk_c12,sk_c5) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_135557,c_136739]) ).
tff(c_136755,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_135563,c_136751]) ).
tff(c_235,plain,
multiply(sk_c4,sk_c12) = sk_c5,
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_129248,plain,
! [X_542,Y_543,Z_544] : ( multiply(multiply(X_542,Y_543),Z_544) = multiply(X_542,multiply(Y_543,Z_544)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_129308,plain,
! [Z_544] : ( multiply(sk_c12,multiply(sk_c4,Z_544)) = multiply(identity,Z_544) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_129248]) ).
tff(c_129492,plain,
! [Z_550] : ( multiply(sk_c12,multiply(sk_c4,Z_550)) = Z_550 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129308]) ).
tff(c_129504,plain,
multiply(sk_c12,sk_c5) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_235,c_129492]) ).
tff(c_294,plain,
! [X_18,Y_19,Z_20] : ( multiply(multiply(X_18,Y_19),Z_20) = multiply(X_18,multiply(Y_19,Z_20)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_333,plain,
! [X_2,Z_20] : ( multiply(inverse(X_2),multiply(X_2,Z_20)) = multiply(identity,Z_20) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_294]) ).
tff(c_344,plain,
! [X_2,Z_20] : ( multiply(inverse(X_2),multiply(X_2,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_333]) ).
tff(c_6118,plain,
! [X_111,Z_112] : ( multiply(inverse(X_111),multiply(X_111,Z_112)) = Z_112 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_333]) ).
tff(c_6331,plain,
! [X_114,Z_115] : ( multiply(inverse(inverse(X_114)),Z_115) = multiply(X_114,Z_115) ),
inference(superposition,[status(thm),theory(equality)],[c_344,c_6118]) ).
tff(c_6369,plain,
! [X_114] : ( multiply(X_114,inverse(X_114)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_6331]) ).
tff(c_6154,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_6118]) ).
tff(c_6338,plain,
! [X_114] : ( multiply(X_114,identity) = X_114 ),
inference(superposition,[status(thm),theory(equality)],[c_6331,c_6154]) ).
tff(c_5563,plain,
! [X_98,Z_99] : ( multiply(inverse(X_98),multiply(X_98,Z_99)) = Z_99 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_333]) ).
tff(c_5722,plain,
! [X_101,Z_102] : ( multiply(inverse(inverse(X_101)),Z_102) = multiply(X_101,Z_102) ),
inference(superposition,[status(thm),theory(equality)],[c_344,c_5563]) ).
tff(c_5599,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_5563]) ).
tff(c_5729,plain,
! [X_101] : ( multiply(X_101,identity) = X_101 ),
inference(superposition,[status(thm),theory(equality)],[c_5722,c_5599]) ).
tff(c_44,plain,
( ( inverse(sk_c12) = sk_c11 )
| ( multiply(sk_c2,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_222,plain,
multiply(sk_c2,sk_c3) = sk_c11,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_76,plain,
( ( inverse(sk_c8) = sk_c10 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_181,plain,
inverse(sk_c2) = sk_c3,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_185,plain,
multiply(sk_c3,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_181,c_4]) ).
tff(c_327,plain,
! [Z_20] : ( multiply(sk_c3,multiply(sk_c2,Z_20)) = multiply(identity,Z_20) ),
inference(superposition,[status(thm),theory(equality)],[c_185,c_294]) ).
tff(c_369,plain,
! [Z_22] : ( multiply(sk_c3,multiply(sk_c2,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_327]) ).
tff(c_381,plain,
multiply(sk_c3,sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_222,c_369]) ).
tff(c_433,plain,
! [X_24,Z_25] : ( multiply(inverse(X_24),multiply(X_24,Z_25)) = Z_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_333]) ).
tff(c_454,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_381,c_433]) ).
tff(c_479,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_454]) ).
tff(c_98,plain,
( ( inverse(sk_c12) = sk_c11 )
| ( multiply(sk_c12,sk_c5) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_241,plain,
multiply(sk_c12,sk_c5) = sk_c11,
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_330,plain,
! [Z_20] : ( multiply(sk_c12,multiply(sk_c4,Z_20)) = multiply(identity,Z_20) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_294]) ).
tff(c_393,plain,
! [Z_23] : ( multiply(sk_c12,multiply(sk_c4,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_330]) ).
tff(c_405,plain,
multiply(sk_c12,sk_c5) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_235,c_393]) ).
tff(c_409,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_241,c_405]) ).
tff(c_152,plain,
! [X7_10,X3_8,X10_15,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(sk_c12) != sk_c11 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_329]) ).
tff(c_385,plain,
inverse(sk_c12) != sk_c11,
inference(splitLeft,[status(thm)],[c_152]) ).
tff(c_411,plain,
inverse(sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_409,c_385]) ).
tff(c_510,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_479,c_479,c_411]) ).
tff(c_421,plain,
inverse(sk_c4) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_409,c_169]) ).
tff(c_429,plain,
multiply(sk_c11,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_421,c_4]) ).
tff(c_505,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_479,c_429]) ).
tff(c_482,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_479,c_421]) ).
tff(c_511,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_505,c_482]) ).
tff(c_512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_510,c_511]) ).
tff(c_514,plain,
inverse(sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_152]) ).
tff(c_518,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_514,c_4]) ).
tff(c_94,plain,
( ( inverse(sk_c8) = sk_c10 )
| ( multiply(sk_c3,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_217,plain,
multiply(sk_c3,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_5224,plain,
! [Z_93] : ( multiply(sk_c2,multiply(sk_c3,Z_93)) = multiply(sk_c11,Z_93) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_294]) ).
tff(c_5245,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c11,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_217,c_5224]) ).
tff(c_5253,plain,
multiply(sk_c2,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_518,c_5245]) ).
tff(c_342,plain,
! [Z_20] : ( multiply(sk_c3,multiply(sk_c2,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_327]) ).
tff(c_5257,plain,
multiply(sk_c3,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_5253,c_342]) ).
tff(c_318,plain,
! [Z_20] : ( multiply(sk_c2,multiply(sk_c3,Z_20)) = multiply(sk_c11,Z_20) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_294]) ).
tff(c_5268,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c11,identity),
inference(superposition,[status(thm),theory(equality)],[c_5257,c_318]) ).
tff(c_5274,plain,
multiply(sk_c11,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5253,c_5268]) ).
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_5287,plain,
! [Z_5] : ( multiply(sk_c11,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_5274,c_6]) ).
tff(c_5295,plain,
! [Z_94] : ( multiply(sk_c11,Z_94) = Z_94 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_5287]) ).
tff(c_5301,plain,
sk_c12 = identity,
inference(superposition,[status(thm),theory(equality)],[c_5295,c_518]) ).
tff(c_26,plain,
( ( inverse(sk_c12) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_227,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_324,plain,
! [Z_20] : ( multiply(sk_c12,multiply(sk_c1,Z_20)) = multiply(identity,Z_20) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_294]) ).
tff(c_346,plain,
! [Z_21] : ( multiply(sk_c12,multiply(sk_c1,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_324]) ).
tff(c_358,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_227,c_346]) ).
tff(c_5429,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_5301,c_5301,c_358]) ).
tff(c_5440,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5429]) ).
tff(c_5324,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5301,c_195]) ).
tff(c_5317,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_5301,c_5301,c_358]) ).
tff(c_5328,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5317]) ).
tff(c_315,plain,
! [Z_20] : ( multiply(sk_c1,multiply(sk_c11,Z_20)) = multiply(sk_c12,Z_20) ),
inference(superposition,[status(thm),theory(equality)],[c_227,c_294]) ).
tff(c_5345,plain,
! [Z_20] : ( multiply(sk_c1,Z_20) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5328,c_2,c_5301,c_315]) ).
tff(c_538,plain,
! [Z_26] : ( multiply(sk_c12,multiply(sk_c4,Z_26)) = Z_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_330]) ).
tff(c_550,plain,
multiply(sk_c12,sk_c5) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_235,c_538]) ).
tff(c_554,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_241,c_550]) ).
tff(c_556,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_554,c_518]) ).
tff(c_558,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_554,c_554,c_358]) ).
tff(c_693,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_556,c_558]) ).
tff(c_557,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_554,c_514]) ).
tff(c_710,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_693,c_693,c_557]) ).
tff(c_563,plain,
multiply(sk_c3,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_554,c_217]) ).
tff(c_650,plain,
sk_c3 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_563,c_381]) ).
tff(c_705,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_693,c_650]) ).
tff(c_720,plain,
! [X_29,Z_30] : ( multiply(inverse(X_29),multiply(X_29,Z_30)) = Z_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_333]) ).
tff(c_963,plain,
! [X_32,Z_33] : ( multiply(inverse(inverse(X_32)),Z_33) = multiply(X_32,Z_33) ),
inference(superposition,[status(thm),theory(equality)],[c_720,c_344]) ).
tff(c_741,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_720]) ).
tff(c_970,plain,
! [X_32] : ( multiply(X_32,identity) = X_32 ),
inference(superposition,[status(thm),theory(equality)],[c_963,c_741]) ).
tff(c_513,plain,
! [X7_10,X3_8,X10_15,X4_14,X6_7,X1_11] :
( ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_152]) ).
tff(c_537,plain,
! [X4_14,X3_8] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_513]) ).
tff(c_617,plain,
! [X4_27,X3_28] :
( ( inverse(multiply(X4_27,inverse(X3_28))) != inverse(X3_28) )
| ( multiply(X4_27,inverse(X3_28)) != inverse(X4_27) )
| ( multiply(inverse(X3_28),sk_c11) != sk_c11 )
| ( multiply(X3_28,inverse(X3_28)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_554,c_554,c_537]) ).
tff(c_628,plain,
! [X4_27] :
( ( inverse(multiply(X4_27,sk_c3)) != inverse(sk_c2) )
| ( multiply(X4_27,inverse(sk_c2)) != inverse(X4_27) )
| ( multiply(inverse(sk_c2),sk_c11) != sk_c11 )
| ( multiply(sk_c2,inverse(sk_c2)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_181,c_617]) ).
tff(c_640,plain,
! [X4_27] :
( ( inverse(multiply(X4_27,sk_c3)) != sk_c3 )
| ( multiply(X4_27,sk_c3) != inverse(X4_27) )
| ( sk_c3 != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_222,c_181,c_381,c_181,c_181,c_181,c_628]) ).
tff(c_5207,plain,
! [X4_92] :
( ( inverse(X4_92) != identity )
| ( inverse(X4_92) != X4_92 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_705,c_693,c_970,c_705,c_970,c_705,c_705,c_640]) ).
tff(c_5215,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_710,c_5207]) ).
tff(c_5222,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_710,c_5215]) ).
tff(c_5223,plain,
! [X1_11,X10_15,X7_10,X6_7] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_513]) ).
tff(c_5314,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_5223]) ).
tff(c_5405,plain,
! [X6_96] :
( ( multiply(X6_96,identity) != identity )
| ( inverse(X6_96) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5301,c_5328,c_5301,c_5314]) ).
tff(c_5409,plain,
inverse(sk_c1) != identity,
inference(superposition,[status(thm),theory(equality)],[c_5345,c_5405]) ).
tff(c_5425,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5324,c_5409]) ).
tff(c_5426,plain,
! [X7_10,X10_15,X1_11] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_5223]) ).
tff(c_5518,plain,
! [X7_10,X10_15,X1_11] :
( ( multiply(inverse(X7_10),identity) != identity )
| ( multiply(X7_10,inverse(X7_10)) != identity )
| ( inverse(X10_15) != identity )
| ( multiply(X10_15,identity) != identity )
| ( multiply(X1_11,identity) != identity )
| ( inverse(X1_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5301,c_5440,c_5301,c_5440,c_5301,c_2,c_5301,c_5301,c_5440,c_5440,c_5301,c_5426]) ).
tff(c_5519,plain,
! [X1_11] :
( ( multiply(X1_11,identity) != identity )
| ( inverse(X1_11) != identity ) ),
inference(splitLeft,[status(thm)],[c_5518]) ).
tff(c_6107,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_5729,c_5519]) ).
tff(c_5428,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_5301,c_514]) ).
tff(c_5471,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5440,c_5428]) ).
tff(c_6109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6107,c_5471]) ).
tff(c_6110,plain,
! [X10_15,X7_10] :
( ( inverse(X10_15) != identity )
| ( multiply(X10_15,identity) != identity )
| ( multiply(inverse(X7_10),identity) != identity )
| ( multiply(X7_10,inverse(X7_10)) != identity ) ),
inference(splitRight,[status(thm)],[c_5518]) ).
tff(c_129118,plain,
! [X10_15,X7_10] :
( ( inverse(X10_15) != identity )
| ( identity != X10_15 )
| ( inverse(X7_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6369,c_6338,c_6338,c_6110]) ).
tff(c_129119,plain,
! [X7_10] : ( inverse(X7_10) != identity ),
inference(splitLeft,[status(thm)],[c_129118]) ).
tff(c_129122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129119,c_5471]) ).
tff(c_129124,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_129118]) ).
tff(c_129126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129124,c_5471]) ).
tff(c_129128,plain,
multiply(sk_c12,sk_c5) != sk_c11,
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_129508,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_129504,c_129128]) ).
tff(c_129127,plain,
inverse(sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_129132,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_129127,c_4]) ).
tff(c_129302,plain,
! [Z_544] : ( multiply(sk_c12,multiply(sk_c1,Z_544)) = multiply(identity,Z_544) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_129248]) ).
tff(c_129329,plain,
! [Z_545] : ( multiply(sk_c12,multiply(sk_c1,Z_545)) = Z_545 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129302]) ).
tff(c_129341,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_227,c_129329]) ).
tff(c_129516,plain,
! [Z_551] : ( multiply(sk_c3,multiply(sk_c12,Z_551)) = multiply(sk_c11,Z_551) ),
inference(superposition,[status(thm),theory(equality)],[c_217,c_129248]) ).
tff(c_129534,plain,
multiply(sk_c3,sk_c11) = multiply(sk_c11,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_129341,c_129516]) ).
tff(c_129551,plain,
multiply(sk_c3,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129132,c_129534]) ).
tff(c_129305,plain,
! [Z_544] : ( multiply(sk_c3,multiply(sk_c2,Z_544)) = multiply(identity,Z_544) ),
inference(superposition,[status(thm),theory(equality)],[c_185,c_129248]) ).
tff(c_129567,plain,
! [Z_552] : ( multiply(sk_c3,multiply(sk_c2,Z_552)) = Z_552 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129305]) ).
tff(c_129579,plain,
multiply(sk_c3,sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_222,c_129567]) ).
tff(c_129583,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129551,c_129579]) ).
tff(c_129588,plain,
multiply(identity,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_129583,c_217]) ).
tff(c_129609,plain,
sk_c12 = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_129588,c_2]) ).
tff(c_129616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129508,c_129609]) ).
tff(c_129618,plain,
multiply(sk_c4,sk_c12) != sk_c5,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_116,plain,
( ( inverse(sk_c12) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_129664,plain,
inverse(sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_129618,c_116]) ).
tff(c_129668,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_129664,c_4]) ).
tff(c_129744,plain,
! [X_553,Y_554,Z_555] : ( multiply(multiply(X_553,Y_554),Z_555) = multiply(X_553,multiply(Y_554,Z_555)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_129986,plain,
! [Z_564] : ( multiply(sk_c2,multiply(sk_c3,Z_564)) = multiply(sk_c11,Z_564) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_129744]) ).
tff(c_130007,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c11,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_217,c_129986]) ).
tff(c_130015,plain,
multiply(sk_c2,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129668,c_130007]) ).
tff(c_129801,plain,
! [Z_555] : ( multiply(sk_c3,multiply(sk_c2,Z_555)) = multiply(identity,Z_555) ),
inference(superposition,[status(thm),theory(equality)],[c_185,c_129744]) ).
tff(c_129821,plain,
! [Z_555] : ( multiply(sk_c3,multiply(sk_c2,Z_555)) = Z_555 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129801]) ).
tff(c_130019,plain,
multiply(sk_c3,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_130015,c_129821]) ).
tff(c_129792,plain,
! [Z_555] : ( multiply(sk_c2,multiply(sk_c3,Z_555)) = multiply(sk_c11,Z_555) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_129744]) ).
tff(c_130030,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c11,identity),
inference(superposition,[status(thm),theory(equality)],[c_130019,c_129792]) ).
tff(c_130036,plain,
multiply(sk_c11,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130015,c_130030]) ).
tff(c_130049,plain,
! [Z_5] : ( multiply(sk_c11,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_130036,c_6]) ).
tff(c_130057,plain,
! [Z_565] : ( multiply(sk_c11,Z_565) = Z_565 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_130049]) ).
tff(c_130066,plain,
sk_c12 = identity,
inference(superposition,[status(thm),theory(equality)],[c_130057,c_129668]) ).
tff(c_130094,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130066,c_169]) ).
tff(c_130139,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_130094,c_4]) ).
tff(c_129807,plain,
! [X_2,Z_555] : ( multiply(inverse(X_2),multiply(X_2,Z_555)) = multiply(identity,Z_555) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_129744]) ).
tff(c_129823,plain,
! [X_2,Z_555] : ( multiply(inverse(X_2),multiply(X_2,Z_555)) = Z_555 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129807]) ).
tff(c_130502,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_130139,c_129823]) ).
tff(c_130514,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_130502]) ).
tff(c_130088,plain,
multiply(sk_c4,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_130066,c_129618]) ).
tff(c_130518,plain,
multiply(identity,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_130514,c_130088]) ).
tff(c_130521,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130518]) ).
tff(c_129798,plain,
! [Z_555] : ( multiply(sk_c12,multiply(sk_c1,Z_555)) = multiply(identity,Z_555) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_129744]) ).
tff(c_129825,plain,
! [Z_556] : ( multiply(sk_c12,multiply(sk_c1,Z_556)) = Z_556 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129798]) ).
tff(c_129837,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_227,c_129825]) ).
tff(c_130078,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_130066,c_130066,c_129837]) ).
tff(c_130095,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130078]) ).
tff(c_129632,plain,
multiply(sk_c12,sk_c5) = sk_c11,
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_130087,plain,
multiply(identity,sk_c5) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_130066,c_129632]) ).
tff(c_130644,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130095,c_130087]) ).
tff(c_130648,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_130644,c_129823]) ).
tff(c_130660,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_130648]) ).
tff(c_130662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130521,c_130660]) ).
tff(c_130663,plain,
inverse(sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_130668,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_130663,c_4]) ).
tff(c_130781,plain,
! [X_572,Y_573,Z_574] : ( multiply(multiply(X_572,Y_573),Z_574) = multiply(X_572,multiply(Y_573,Z_574)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_131960,plain,
! [Z_602] : ( multiply(sk_c2,multiply(sk_c3,Z_602)) = multiply(sk_c11,Z_602) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_130781]) ).
tff(c_131981,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c11,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_217,c_131960]) ).
tff(c_131989,plain,
multiply(sk_c2,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130668,c_131981]) ).
tff(c_130817,plain,
! [Z_574] : ( multiply(sk_c11,multiply(sk_c12,Z_574)) = multiply(identity,Z_574) ),
inference(superposition,[status(thm),theory(equality)],[c_130668,c_130781]) ).
tff(c_131920,plain,
! [Z_601] : ( multiply(sk_c11,multiply(sk_c12,Z_601)) = Z_601 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130817]) ).
tff(c_131953,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_199,c_131920]) ).
tff(c_130835,plain,
! [Z_574] : ( multiply(sk_c3,multiply(sk_c2,Z_574)) = multiply(identity,Z_574) ),
inference(superposition,[status(thm),theory(equality)],[c_185,c_130781]) ).
tff(c_130855,plain,
! [Z_574] : ( multiply(sk_c3,multiply(sk_c2,Z_574)) = Z_574 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130835]) ).
tff(c_131993,plain,
multiply(sk_c3,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_131989,c_130855]) ).
tff(c_130826,plain,
! [Z_574] : ( multiply(sk_c2,multiply(sk_c3,Z_574)) = multiply(sk_c11,Z_574) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_130781]) ).
tff(c_132178,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c11,identity),
inference(superposition,[status(thm),theory(equality)],[c_131993,c_130826]) ).
tff(c_132184,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131989,c_131953,c_132178]) ).
tff(c_130832,plain,
! [Z_574] : ( multiply(sk_c12,multiply(sk_c1,Z_574)) = multiply(identity,Z_574) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_130781]) ).
tff(c_131025,plain,
! [Z_582] : ( multiply(sk_c12,multiply(sk_c1,Z_582)) = Z_582 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130832]) ).
tff(c_131037,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_227,c_131025]) ).
tff(c_131048,plain,
! [Z_583] : ( multiply(sk_c1,multiply(sk_c11,Z_583)) = multiply(sk_c12,Z_583) ),
inference(superposition,[status(thm),theory(equality)],[c_227,c_130781]) ).
tff(c_131063,plain,
multiply(sk_c12,sk_c12) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_130668,c_131048]) ).
tff(c_131067,plain,
multiply(sk_c1,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_131037,c_131063]) ).
tff(c_132191,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_132184,c_131067]) ).
tff(c_132198,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132191]) ).
tff(c_132194,plain,
multiply(identity,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_132184,c_227]) ).
tff(c_132201,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132194]) ).
tff(c_132300,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_132201,c_130663]) ).
tff(c_132346,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_132198,c_132198,c_132300]) ).
tff(c_132306,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_132198,c_132201]) ).
tff(c_132222,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_132198,c_132201]) ).
tff(c_132196,plain,
inverse(identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_132184,c_195]) ).
tff(c_132262,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_132222,c_132196]) ).
tff(c_132052,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c11,identity),
inference(superposition,[status(thm),theory(equality)],[c_131993,c_130826]) ).
tff(c_132058,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131953,c_131989,c_132052]) ).
tff(c_132065,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_132058,c_131067]) ).
tff(c_132072,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132065]) ).
tff(c_132068,plain,
multiply(identity,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_132058,c_227]) ).
tff(c_132075,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132068]) ).
tff(c_132122,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_132072,c_132075]) ).
tff(c_131151,plain,
! [Z_587] : ( multiply(sk_c11,multiply(sk_c12,Z_587)) = Z_587 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130817]) ).
tff(c_131184,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_199,c_131151]) ).
tff(c_131191,plain,
! [Z_588] : ( multiply(sk_c2,multiply(sk_c3,Z_588)) = multiply(sk_c11,Z_588) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_130781]) ).
tff(c_131212,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c11,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_217,c_131191]) ).
tff(c_131220,plain,
multiply(sk_c2,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130668,c_131212]) ).
tff(c_131224,plain,
multiply(sk_c3,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_131220,c_130855]) ).
tff(c_131315,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c11,identity),
inference(superposition,[status(thm),theory(equality)],[c_131224,c_130826]) ).
tff(c_131321,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131184,c_131220,c_131315]) ).
tff(c_131328,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_131321,c_131067]) ).
tff(c_131335,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131328]) ).
tff(c_131331,plain,
multiply(identity,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_131321,c_227]) ).
tff(c_131338,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131331]) ).
tff(c_131386,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131335,c_131338]) ).
tff(c_131333,plain,
inverse(identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_131321,c_195]) ).
tff(c_131517,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131386,c_131333]) ).
tff(c_130664,plain,
multiply(sk_c12,sk_c5) != sk_c11,
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_108,plain,
( ( multiply(sk_c10,sk_c11) = sk_c12 )
| ( multiply(sk_c12,sk_c5) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_130753,plain,
multiply(sk_c10,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_130664,c_108]) ).
tff(c_130802,plain,
! [Z_574] : ( multiply(sk_c10,multiply(sk_c11,Z_574)) = multiply(sk_c12,Z_574) ),
inference(superposition,[status(thm),theory(equality)],[c_130753,c_130781]) ).
tff(c_131799,plain,
! [Z_574] : ( multiply(sk_c10,Z_574) = Z_574 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131386,c_2,c_131335,c_130802]) ).
tff(c_112,plain,
( ( inverse(sk_c8) = sk_c10 )
| ( multiply(sk_c12,sk_c5) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_130698,plain,
inverse(sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_130664,c_112]) ).
tff(c_110,plain,
( ( inverse(sk_c9) = sk_c8 )
| ( multiply(sk_c12,sk_c5) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_130713,plain,
inverse(sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_130664,c_110]) ).
tff(c_130717,plain,
multiply(sk_c8,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_130713,c_4]) ).
tff(c_130841,plain,
! [X_2,Z_574] : ( multiply(inverse(X_2),multiply(X_2,Z_574)) = multiply(identity,Z_574) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_130781]) ).
tff(c_131405,plain,
! [X_592,Z_593] : ( multiply(inverse(X_592),multiply(X_592,Z_593)) = Z_593 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130841]) ).
tff(c_131435,plain,
multiply(inverse(sk_c8),identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_130717,c_131405]) ).
tff(c_131467,plain,
multiply(sk_c10,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_130698,c_131435]) ).
tff(c_122,plain,
( ( multiply(sk_c7,sk_c10) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_130764,plain,
multiply(sk_c7,sk_c10) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_129618,c_122]) ).
tff(c_129617,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_129622,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_129617,c_4]) ).
tff(c_130820,plain,
! [Z_574] : ( multiply(sk_c10,multiply(sk_c7,Z_574)) = multiply(identity,Z_574) ),
inference(superposition,[status(thm),theory(equality)],[c_129622,c_130781]) ).
tff(c_131128,plain,
! [Z_586] : ( multiply(sk_c10,multiply(sk_c7,Z_586)) = Z_586 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130820]) ).
tff(c_131140,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_130764,c_131128]) ).
tff(c_131371,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_131338,c_131140]) ).
tff(c_131644,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_131467,c_131335,c_131371]) ).
tff(c_131645,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_131644,c_131467]) ).
tff(c_131800,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131799,c_131645]) ).
tff(c_130677,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_130664,c_100]) ).
tff(c_102,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( multiply(sk_c12,sk_c5) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_130748,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_130664,c_102]) ).
tff(c_130860,plain,
! [X7_10,X3_8,X10_15,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130663,c_152]) ).
tff(c_130977,plain,
! [X6_580] :
( ( multiply(X6_580,sk_c11) != sk_c12 )
| ( inverse(X6_580) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_130860]) ).
tff(c_130993,plain,
inverse(sk_c6) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_130748,c_130977]) ).
tff(c_131010,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130677,c_130993]) ).
tff(c_131011,plain,
! [X7_10,X3_8,X10_15,X4_14,X1_11] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_130860]) ).
tff(c_131279,plain,
! [X4_589,X3_590] :
( ( inverse(multiply(X4_589,inverse(X3_590))) != inverse(X3_590) )
| ( multiply(X4_589,inverse(X3_590)) != inverse(X4_589) )
| ( multiply(inverse(X3_590),sk_c11) != sk_c12 )
| ( multiply(X3_590,inverse(X3_590)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_131011]) ).
tff(c_131290,plain,
! [X4_589] :
( ( inverse(multiply(X4_589,sk_c10)) != inverse(sk_c7) )
| ( multiply(X4_589,inverse(sk_c7)) != inverse(X4_589) )
| ( multiply(inverse(sk_c7),sk_c11) != sk_c12 )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_129617,c_131279]) ).
tff(c_131307,plain,
! [X4_589] :
( ( inverse(multiply(X4_589,sk_c10)) != sk_c10 )
| ( multiply(X4_589,sk_c10) != inverse(X4_589) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130764,c_129617,c_130753,c_129617,c_129617,c_129617,c_131290]) ).
tff(c_131875,plain,
! [X4_599] :
( ( inverse(multiply(X4_599,identity)) != identity )
| ( multiply(X4_599,identity) != inverse(X4_599) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131800,c_131800,c_131800,c_131307]) ).
tff(c_131886,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_131875]) ).
tff(c_131895,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_131517,c_131517,c_4,c_131517,c_131886]) ).
tff(c_131896,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_131011]) ).
tff(c_132048,plain,
! [X7_10] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_131896]) ).
tff(c_132142,plain,
! [X7_604] :
( ( multiply(inverse(X7_604),sk_c12) != identity )
| ( multiply(X7_604,inverse(X7_604)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132072,c_132072,c_132048]) ).
tff(c_132158,plain,
multiply(sk_c12,inverse(sk_c12)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_132142]) ).
tff(c_132171,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_132122,c_2,c_132122,c_132158]) ).
tff(c_132114,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_132075,c_130663]) ).
tff(c_132172,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_132072,c_132072,c_132114]) ).
tff(c_132173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132171,c_132172]) ).
tff(c_132174,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_131896]) ).
tff(c_132206,plain,
! [X1_11] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_132174]) ).
tff(c_132273,plain,
! [X1_606] :
( ( multiply(X1_606,identity) != identity )
| ( inverse(X1_606) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132222,c_132222,c_132198,c_132206]) ).
tff(c_132281,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_132273]) ).
tff(c_132289,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132262,c_132262,c_132281]) ).
tff(c_132290,plain,
! [X10_15] :
( ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_132174]) ).
tff(c_132357,plain,
! [X10_608] :
( ( inverse(X10_608) != identity )
| ( multiply(X10_608,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132306,c_2,c_132306,c_132198,c_132306,c_132290]) ).
tff(c_132365,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_132357]) ).
tff(c_132373,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132346,c_132346,c_132365]) ).
tff(c_132374,plain,
inverse(sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_132379,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_132374,c_4]) ).
tff(c_134712,plain,
! [X_655,Y_656,Z_657] : ( multiply(multiply(X_655,Y_656),Z_657) = multiply(X_655,multiply(Y_656,Z_657)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_134925,plain,
! [Z_666] : ( multiply(sk_c2,multiply(sk_c3,Z_666)) = multiply(sk_c11,Z_666) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_134712]) ).
tff(c_134943,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c11,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_217,c_134925]) ).
tff(c_134950,plain,
multiply(sk_c2,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_132379,c_134943]) ).
tff(c_134763,plain,
! [Z_657] : ( multiply(sk_c3,multiply(sk_c2,Z_657)) = multiply(identity,Z_657) ),
inference(superposition,[status(thm),theory(equality)],[c_185,c_134712]) ).
tff(c_134783,plain,
! [Z_657] : ( multiply(sk_c3,multiply(sk_c2,Z_657)) = Z_657 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134763]) ).
tff(c_134954,plain,
multiply(sk_c3,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_134950,c_134783]) ).
tff(c_134754,plain,
! [Z_657] : ( multiply(sk_c2,multiply(sk_c3,Z_657)) = multiply(sk_c11,Z_657) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_134712]) ).
tff(c_134976,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c11,identity),
inference(superposition,[status(thm),theory(equality)],[c_134954,c_134754]) ).
tff(c_134982,plain,
multiply(sk_c11,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_134950,c_134976]) ).
tff(c_134995,plain,
! [Z_5] : ( multiply(sk_c11,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_134982,c_6]) ).
tff(c_135004,plain,
! [Z_667] : ( multiply(sk_c11,Z_667) = Z_667 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_134995]) ).
tff(c_135013,plain,
sk_c12 = identity,
inference(superposition,[status(thm),theory(equality)],[c_135004,c_132379]) ).
tff(c_135037,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_135013,c_195]) ).
tff(c_135175,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_135037,c_4]) ).
tff(c_134769,plain,
! [X_2,Z_657] : ( multiply(inverse(X_2),multiply(X_2,Z_657)) = multiply(identity,Z_657) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_134712]) ).
tff(c_134785,plain,
! [X_2,Z_657] : ( multiply(inverse(X_2),multiply(X_2,Z_657)) = Z_657 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134769]) ).
tff(c_135386,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_135175,c_134785]) ).
tff(c_135398,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_135386]) ).
tff(c_134998,plain,
! [Z_5] : ( multiply(sk_c11,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_134995]) ).
tff(c_134757,plain,
! [Z_657] : ( multiply(sk_c3,multiply(sk_c12,Z_657)) = multiply(sk_c11,Z_657) ),
inference(superposition,[status(thm),theory(equality)],[c_217,c_134712]) ).
tff(c_135048,plain,
! [Z_657] : ( multiply(sk_c3,Z_657) = Z_657 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135013,c_134998,c_134757]) ).
tff(c_135049,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_135048,c_134954]) ).
tff(c_132375,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_135033,plain,
multiply(sk_c1,sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_135013,c_132375]) ).
tff(c_135539,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135398,c_135049,c_135033]) ).
tff(c_135540,plain,
inverse(sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_135545,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_135540,c_4]) ).
tff(c_136766,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_136755,c_135545]) ).
tff(c_135541,plain,
multiply(sk_c2,sk_c3) != sk_c11,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_46,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( multiply(sk_c2,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_136562,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_135541,c_46]) ).
tff(c_136762,plain,
inverse(sk_c6) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_136755,c_136562]) ).
tff(c_48,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( multiply(sk_c2,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_136616,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_135541,c_48]) ).
tff(c_136759,plain,
multiply(sk_c6,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_136755,c_136616]) ).
tff(c_136708,plain,
! [X_2,Z_693] : ( multiply(inverse(X_2),multiply(X_2,Z_693)) = multiply(identity,Z_693) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_136648]) ).
tff(c_136724,plain,
! [X_2,Z_693] : ( multiply(inverse(X_2),multiply(X_2,Z_693)) = Z_693 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136708]) ).
tff(c_137027,plain,
multiply(inverse(sk_c6),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_136759,c_136724]) ).
tff(c_137033,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_136762,c_137027]) ).
tff(c_137153,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_136766,c_137033]) ).
tff(c_136770,plain,
inverse(sk_c1) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_136755,c_195]) ).
tff(c_137169,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_137153,c_136770]) ).
tff(c_137213,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_137169,c_4]) ).
tff(c_137375,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137213,c_136724]) ).
tff(c_137387,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_137375]) ).
tff(c_135681,plain,
! [X_676,Y_677,Z_678] : ( multiply(multiply(X_676,Y_677),Z_678) = multiply(X_676,multiply(Y_677,Z_678)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_135741,plain,
! [Z_678] : ( multiply(sk_c12,multiply(sk_c4,Z_678)) = multiply(identity,Z_678) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_135681]) ).
tff(c_135959,plain,
! [Z_684] : ( multiply(sk_c12,multiply(sk_c4,Z_684)) = Z_684 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135741]) ).
tff(c_135971,plain,
multiply(sk_c12,sk_c5) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_135557,c_135959]) ).
tff(c_135975,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_135563,c_135971]) ).
tff(c_34,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_135575,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_135735,plain,
! [Z_678] : ( multiply(sk_c12,multiply(sk_c1,Z_678)) = multiply(identity,Z_678) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_135681]) ).
tff(c_135910,plain,
! [Z_681] : ( multiply(sk_c12,multiply(sk_c1,Z_681)) = Z_681 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135735]) ).
tff(c_135922,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_135575,c_135910]) ).
tff(c_135978,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_135975,c_135975,c_135922]) ).
tff(c_135744,plain,
! [X_2,Z_678] : ( multiply(inverse(X_2),multiply(X_2,Z_678)) = multiply(identity,Z_678) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_135681]) ).
tff(c_136117,plain,
! [X_687,Z_688] : ( multiply(inverse(X_687),multiply(X_687,Z_688)) = Z_688 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135744]) ).
tff(c_136135,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_135978,c_136117]) ).
tff(c_136208,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_136135]) ).
tff(c_135992,plain,
inverse(sk_c1) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_135975,c_195]) ).
tff(c_136009,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_135992,c_4]) ).
tff(c_136244,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136208,c_136009]) ).
tff(c_136231,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_136208,c_135992]) ).
tff(c_136249,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_136244,c_136231]) ).
tff(c_136233,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_136208,c_135975]) ).
tff(c_135732,plain,
! [Z_678] : ( multiply(sk_c3,multiply(sk_c12,Z_678)) = multiply(sk_c11,Z_678) ),
inference(superposition,[status(thm),theory(equality)],[c_217,c_135681]) ).
tff(c_136356,plain,
! [Z_689] : ( multiply(sk_c3,Z_689) = Z_689 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136233,c_2,c_136208,c_135732]) ).
tff(c_136371,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_136356,c_185]) ).
tff(c_136386,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_136371,c_181]) ).
tff(c_136389,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_136249,c_136386]) ).
tff(c_136234,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_136208,c_135541]) ).
tff(c_136521,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_136389,c_2,c_136371,c_136234]) ).
tff(c_136523,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_136763,plain,
multiply(sk_c1,sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_136755,c_136523]) ).
tff(c_137160,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_137153,c_137153,c_136763]) ).
tff(c_137406,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_137387,c_137160]) ).
tff(c_137408,plain,
multiply(sk_c12,sk_c5) != sk_c11,
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_137422,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137409,c_137408]) ).
tff(c_137423,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_106]) ).
tff(c_50,plain,
( ( multiply(sk_c7,sk_c10) = sk_c12 )
| ( multiply(sk_c2,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_137530,plain,
multiply(sk_c7,sk_c10) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_135541,c_50]) ).
tff(c_137544,plain,
! [X_702,Y_703,Z_704] : ( multiply(multiply(X_702,Y_703),Z_704) = multiply(X_702,multiply(Y_703,Z_704)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_137604,plain,
! [X_2,Z_704] : ( multiply(inverse(X_2),multiply(X_2,Z_704)) = multiply(identity,Z_704) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_137544]) ).
tff(c_138206,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_137604]) ).
tff(c_138260,plain,
multiply(inverse(sk_c7),sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_137530,c_138206]) ).
tff(c_138310,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_137423,c_138260]) ).
tff(c_137620,plain,
! [X_2,Z_704] : ( multiply(inverse(X_2),multiply(X_2,Z_704)) = Z_704 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_137604]) ).
tff(c_138320,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_138310,c_137620]) ).
tff(c_138326,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_138320]) ).
tff(c_137589,plain,
! [Z_704] : ( multiply(sk_c11,multiply(sk_c12,Z_704)) = multiply(identity,Z_704) ),
inference(superposition,[status(thm),theory(equality)],[c_135545,c_137544]) ).
tff(c_137942,plain,
! [Z_715] : ( multiply(sk_c11,multiply(sk_c12,Z_715)) = Z_715 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_137589]) ).
tff(c_137969,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_199,c_137942]) ).
tff(c_137601,plain,
! [Z_704] : ( multiply(sk_c12,multiply(sk_c4,Z_704)) = multiply(identity,Z_704) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_137544]) ).
tff(c_137645,plain,
! [Z_706] : ( multiply(sk_c12,multiply(sk_c4,Z_706)) = Z_706 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_137601]) ).
tff(c_137657,plain,
multiply(sk_c12,sk_c5) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_135557,c_137645]) ).
tff(c_137954,plain,
multiply(sk_c11,sk_c12) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_137657,c_137942]) ).
tff(c_137976,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_135545,c_137954]) ).
tff(c_137979,plain,
multiply(sk_c12,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_137976,c_137657]) ).
tff(c_137592,plain,
! [Z_704] : ( multiply(sk_c3,multiply(sk_c12,Z_704)) = multiply(sk_c11,Z_704) ),
inference(superposition,[status(thm),theory(equality)],[c_217,c_137544]) ).
tff(c_138071,plain,
multiply(sk_c3,sk_c12) = multiply(sk_c11,identity),
inference(superposition,[status(thm),theory(equality)],[c_137979,c_137592]) ).
tff(c_138078,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_137969,c_217,c_138071]) ).
tff(c_137661,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_137657,c_137408]) ).
tff(c_138088,plain,
sk_c12 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_138078,c_137661]) ).
tff(c_138333,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_138326,c_138088]) ).
tff(c_138340,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_138326,c_195]) ).
tff(c_138389,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138340,c_4]) ).
tff(c_138504,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_138389,c_137620]) ).
tff(c_138516,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_138504]) ).
tff(c_138518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138333,c_138516]) ).
tff(c_138520,plain,
multiply(sk_c4,sk_c12) != sk_c5,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_138600,plain,
multiply(sk_c7,sk_c10) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_138520,c_122]) ).
tff(c_120,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_138611,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_138520,c_120]) ).
tff(c_118,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_138561,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_138520,c_118]) ).
tff(c_138565,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138561,c_4]) ).
tff(c_138644,plain,
! [X_724,Y_725,Z_726] : ( multiply(multiply(X_724,Y_725),Z_726) = multiply(X_724,multiply(Y_725,Z_726)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_138674,plain,
! [Z_726] : ( multiply(sk_c12,multiply(sk_c6,Z_726)) = multiply(identity,Z_726) ),
inference(superposition,[status(thm),theory(equality)],[c_138565,c_138644]) ).
tff(c_138851,plain,
! [Z_735] : ( multiply(sk_c12,multiply(sk_c6,Z_735)) = Z_735 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138674]) ).
tff(c_138863,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_138611,c_138851]) ).
tff(c_138519,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_138524,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138519,c_4]) ).
tff(c_138683,plain,
! [Z_726] : ( multiply(sk_c10,multiply(sk_c7,Z_726)) = multiply(identity,Z_726) ),
inference(superposition,[status(thm),theory(equality)],[c_138524,c_138644]) ).
tff(c_138911,plain,
! [Z_738] : ( multiply(sk_c10,multiply(sk_c7,Z_738)) = Z_738 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138683]) ).
tff(c_138923,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_138600,c_138911]) ).
tff(c_139763,plain,
! [Z_753] : ( multiply(sk_c7,multiply(sk_c10,Z_753)) = multiply(sk_c12,Z_753) ),
inference(superposition,[status(thm),theory(equality)],[c_138600,c_138644]) ).
tff(c_139778,plain,
multiply(sk_c7,sk_c10) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_138923,c_139763]) ).
tff(c_139800,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_138600,c_138863,c_139778]) ).
tff(c_138686,plain,
! [Z_726] : ( multiply(sk_c11,multiply(sk_c12,Z_726)) = multiply(identity,Z_726) ),
inference(superposition,[status(thm),theory(equality)],[c_135545,c_138644]) ).
tff(c_139476,plain,
! [Z_749] : ( multiply(sk_c11,multiply(sk_c12,Z_749)) = Z_749 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138686]) ).
tff(c_139509,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_199,c_139476]) ).
tff(c_139506,plain,
multiply(sk_c11,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_138565,c_139476]) ).
tff(c_139524,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_139509,c_139506]) ).
tff(c_139575,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_139524,c_138611]) ).
tff(c_139803,plain,
multiply(sk_c1,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_139800,c_139575]) ).
tff(c_139512,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_173,c_139476]) ).
tff(c_139585,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_139509,c_139512]) ).
tff(c_139587,plain,
multiply(sk_c1,sk_c12) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_139585,c_138520]) ).
tff(c_139802,plain,
multiply(sk_c1,sk_c11) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_139800,c_139587]) ).
tff(c_139836,plain,
sk_c5 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_139803,c_139802]) ).
tff(c_139488,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_138863,c_139476]) ).
tff(c_139854,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_139800,c_139488]) ).
tff(c_138605,plain,
multiply(sk_c12,sk_c5) = sk_c11,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_139503,plain,
multiply(sk_c11,sk_c11) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_138605,c_139476]) ).
tff(c_139855,plain,
sk_c5 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_139854,c_139503]) ).
tff(c_139857,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139836,c_139855]) ).
tff(c_139859,plain,
multiply(sk_c12,sk_c5) != sk_c11,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_114,plain,
( ( multiply(sk_c9,sk_c10) = sk_c8 )
| ( multiply(sk_c12,sk_c5) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_139865,plain,
multiply(sk_c9,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_139859,c_114]) ).
tff(c_128,plain,
( ( inverse(sk_c9) = sk_c8 )
| ( multiply(sk_c4,sk_c12) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_138546,plain,
inverse(sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_138520,c_128]) ).
tff(c_138550,plain,
multiply(sk_c8,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138546,c_4]) ).
tff(c_139898,plain,
! [X_754,Y_755,Z_756] : ( multiply(multiply(X_754,Y_755),Z_756) = multiply(X_754,multiply(Y_755,Z_756)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_139928,plain,
! [Z_756] : ( multiply(sk_c8,multiply(sk_c9,Z_756)) = multiply(identity,Z_756) ),
inference(superposition,[status(thm),theory(equality)],[c_138550,c_139898]) ).
tff(c_140285,plain,
! [Z_767] : ( multiply(sk_c8,multiply(sk_c9,Z_767)) = Z_767 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139928]) ).
tff(c_140300,plain,
multiply(sk_c8,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_139865,c_140285]) ).
tff(c_130,plain,
( ( inverse(sk_c8) = sk_c10 )
| ( multiply(sk_c4,sk_c12) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_138532,plain,
inverse(sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_138520,c_130]) ).
tff(c_138536,plain,
multiply(sk_c10,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138532,c_4]) ).
tff(c_141000,plain,
! [Z_777] : ( multiply(sk_c9,multiply(sk_c10,Z_777)) = multiply(sk_c8,Z_777) ),
inference(superposition,[status(thm),theory(equality)],[c_139865,c_139898]) ).
tff(c_141027,plain,
multiply(sk_c9,identity) = multiply(sk_c8,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_138536,c_141000]) ).
tff(c_141034,plain,
multiply(sk_c9,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_140300,c_141027]) ).
tff(c_139961,plain,
! [Z_756] : ( multiply(sk_c8,multiply(sk_c9,Z_756)) = Z_756 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139928]) ).
tff(c_141038,plain,
multiply(sk_c8,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_141034,c_139961]) ).
tff(c_139931,plain,
! [Z_756] : ( multiply(sk_c10,multiply(sk_c8,Z_756)) = multiply(identity,Z_756) ),
inference(superposition,[status(thm),theory(equality)],[c_138536,c_139898]) ).
tff(c_139962,plain,
! [Z_756] : ( multiply(sk_c10,multiply(sk_c8,Z_756)) = Z_756 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139931]) ).
tff(c_141049,plain,
multiply(sk_c10,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_141038,c_139962]) ).
tff(c_140009,plain,
! [Z_760] : ( multiply(sk_c10,multiply(sk_c8,Z_760)) = Z_760 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139931]) ).
tff(c_140021,plain,
multiply(sk_c10,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_138550,c_140009]) ).
tff(c_141057,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_141049,c_140021]) ).
tff(c_141030,plain,
multiply(sk_c9,identity) = multiply(sk_c8,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_138524,c_141000]) ).
tff(c_141281,plain,
multiply(sk_c8,sk_c7) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_141049,c_141057,c_141030]) ).
tff(c_141285,plain,
multiply(sk_c10,sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_141281,c_139962]) ).
tff(c_140977,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_140300,c_139962]) ).
tff(c_141292,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_141285,c_140977]) ).
tff(c_141303,plain,
multiply(sk_c7,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_141292,c_141038]) ).
tff(c_141432,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_141303,c_138600]) ).
tff(c_139858,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_139925,plain,
! [Z_756] : ( multiply(sk_c12,multiply(sk_c6,Z_756)) = multiply(identity,Z_756) ),
inference(superposition,[status(thm),theory(equality)],[c_138565,c_139898]) ).
tff(c_140202,plain,
! [Z_765] : ( multiply(sk_c12,multiply(sk_c6,Z_765)) = Z_765 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139925]) ).
tff(c_140214,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_139858,c_140202]) ).
tff(c_141441,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141432,c_141432,c_140214]) ).
tff(c_141459,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_141441]) ).
tff(c_141453,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141432,c_135540]) ).
tff(c_141519,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_141459,c_141453]) ).
tff(c_141329,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_141303,c_138600]) ).
tff(c_141339,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141329,c_141329,c_140214]) ).
tff(c_141357,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_141339]) ).
tff(c_141123,plain,
! [Z_778] : ( multiply(sk_c6,multiply(sk_c11,Z_778)) = multiply(sk_c12,Z_778) ),
inference(superposition,[status(thm),theory(equality)],[c_139858,c_139898]) ).
tff(c_141144,plain,
multiply(sk_c6,identity) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_135545,c_141123]) ).
tff(c_141150,plain,
multiply(sk_c6,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_140214,c_141144]) ).
tff(c_141104,plain,
multiply(sk_c8,sk_c7) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_141049,c_141057,c_141030]) ).
tff(c_141108,plain,
multiply(sk_c10,sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_141104,c_139962]) ).
tff(c_141115,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_141108,c_140977]) ).
tff(c_141075,plain,
inverse(sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_141057,c_138546]) ).
tff(c_141153,plain,
inverse(sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_141115,c_141075]) ).
tff(c_141168,plain,
multiply(sk_c7,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_141153,c_4]) ).
tff(c_141232,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_141168,c_138600]) ).
tff(c_139952,plain,
! [X_2,Z_756] : ( multiply(inverse(X_2),multiply(X_2,Z_756)) = multiply(identity,Z_756) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_139898]) ).
tff(c_140575,plain,
! [X_772,Z_773] : ( multiply(inverse(X_772),multiply(X_772,Z_773)) = Z_773 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139952]) ).
tff(c_140653,plain,
multiply(inverse(sk_c7),sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_138600,c_140575]) ).
tff(c_140716,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_138519,c_140653]) ).
tff(c_139968,plain,
! [X_2,Z_756] : ( multiply(inverse(X_2),multiply(X_2,Z_756)) = Z_756 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139952]) ).
tff(c_140754,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_140716,c_139968]) ).
tff(c_140760,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_140754]) ).
tff(c_140778,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_140760,c_140760,c_140214]) ).
tff(c_140789,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_140778]) ).
tff(c_140784,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_140760,c_135540]) ).
tff(c_140806,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_140789,c_140784]) ).
tff(c_126,plain,
( ( multiply(sk_c10,sk_c11) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_139872,plain,
multiply(sk_c10,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_138520,c_126]) ).
tff(c_139913,plain,
! [Z_756] : ( multiply(sk_c10,multiply(sk_c11,Z_756)) = multiply(sk_c12,Z_756) ),
inference(superposition,[status(thm),theory(equality)],[c_139872,c_139898]) ).
tff(c_140894,plain,
! [Z_775] : ( multiply(sk_c10,Z_775) = Z_775 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_140789,c_2,c_140760,c_139913]) ).
tff(c_140906,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_140894,c_138524]) ).
tff(c_140922,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_140906,c_138519]) ).
tff(c_140925,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_140806,c_140922]) ).
tff(c_139937,plain,
! [Z_756] : ( multiply(sk_c11,multiply(sk_c12,Z_756)) = multiply(identity,Z_756) ),
inference(superposition,[status(thm),theory(equality)],[c_135545,c_139898]) ).
tff(c_140059,plain,
! [Z_762] : ( multiply(sk_c11,multiply(sk_c12,Z_762)) = Z_762 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139937]) ).
tff(c_140086,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_199,c_140059]) ).
tff(c_140083,plain,
multiply(sk_c11,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_138565,c_140059]) ).
tff(c_140156,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_140086,c_140083]) ).
tff(c_140158,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_140156,c_139858]) ).
tff(c_140034,plain,
! [X7_10,X3_8,X10_15,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135540,c_152]) ).
tff(c_140035,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_140034]) ).
tff(c_140188,plain,
inverse(sk_c1) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_140158,c_140035]) ).
tff(c_140200,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_195,c_140188]) ).
tff(c_140201,plain,
! [X7_10,X3_8,X10_15,X4_14,X1_11] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_140034]) ).
tff(c_140422,plain,
! [X4_769,X3_770] :
( ( inverse(multiply(X4_769,inverse(X3_770))) != inverse(X3_770) )
| ( multiply(X4_769,inverse(X3_770)) != inverse(X4_769) )
| ( multiply(inverse(X3_770),sk_c11) != sk_c12 )
| ( multiply(X3_770,inverse(X3_770)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_140201]) ).
tff(c_140433,plain,
! [X4_769] :
( ( inverse(multiply(X4_769,sk_c10)) != inverse(sk_c7) )
| ( multiply(X4_769,inverse(sk_c7)) != inverse(X4_769) )
| ( multiply(inverse(sk_c7),sk_c11) != sk_c12 )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_138519,c_140422]) ).
tff(c_140454,plain,
! [X4_769] :
( ( inverse(multiply(X4_769,sk_c10)) != sk_c10 )
| ( multiply(X4_769,sk_c10) != inverse(X4_769) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138600,c_138519,c_139872,c_138519,c_138519,c_138519,c_140433]) ).
tff(c_140951,plain,
! [X4_776] :
( ( inverse(multiply(X4_776,identity)) != identity )
| ( multiply(X4_776,identity) != inverse(X4_776) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140925,c_140925,c_140925,c_140454]) ).
tff(c_140962,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_140951]) ).
tff(c_140972,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_140806,c_140806,c_4,c_140806,c_140962]) ).
tff(c_140973,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_140201]) ).
tff(c_141202,plain,
! [X7_779] :
( ( multiply(inverse(X7_779),sk_c12) != sk_c11 )
| ( multiply(X7_779,inverse(X7_779)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_140973]) ).
tff(c_141206,plain,
( ( multiply(sk_c12,sk_c12) != sk_c11 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_138561,c_141202]) ).
tff(c_141222,plain,
multiply(sk_c6,sk_c12) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_138561,c_140214,c_141206]) ).
tff(c_141243,plain,
multiply(sk_c6,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141232,c_141222]) ).
tff(c_141267,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_141150,c_141243]) ).
tff(c_141268,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_140973]) ).
tff(c_141314,plain,
! [X1_11] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_141268]) ).
tff(c_141386,plain,
! [X1_780] :
( ( multiply(X1_780,identity) != identity )
| ( inverse(X1_780) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141329,c_141357,c_141329,c_141314]) ).
tff(c_141404,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_141386]) ).
tff(c_141351,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141329,c_135540]) ).
tff(c_141415,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_141357,c_141351]) ).
tff(c_141416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_141404,c_141415]) ).
tff(c_141417,plain,
! [X10_15] :
( ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_141268]) ).
tff(c_141467,plain,
! [X10_781] :
( ( inverse(X10_781) != identity )
| ( multiply(X10_781,identity) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141432,c_2,c_141432,c_141432,c_141417]) ).
tff(c_141485,plain,
( ( inverse(identity) != identity )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_141467]) ).
tff(c_141704,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_141459,c_141519,c_141485]) ).
tff(c_141706,plain,
multiply(sk_c3,sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_80,plain,
( ( inverse(sk_c12) = sk_c11 )
| ( multiply(sk_c3,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_201766,plain,
inverse(sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_141706,c_80]) ).
tff(c_201770,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_201766,c_4]) ).
tff(c_202615,plain,
! [X_1160,Y_1161,Z_1162] : ( multiply(multiply(X_1160,Y_1161),Z_1162) = multiply(X_1160,multiply(Y_1161,Z_1162)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_202648,plain,
! [Z_1162] : ( multiply(sk_c11,multiply(sk_c12,Z_1162)) = multiply(identity,Z_1162) ),
inference(superposition,[status(thm),theory(equality)],[c_201770,c_202615]) ).
tff(c_202897,plain,
! [Z_1172] : ( multiply(sk_c11,multiply(sk_c12,Z_1172)) = Z_1172 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_202648]) ).
tff(c_202921,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_199,c_202897]) ).
tff(c_141718,plain,
multiply(sk_c2,sk_c3) = sk_c11,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_202666,plain,
! [Z_1162] : ( multiply(sk_c3,multiply(sk_c2,Z_1162)) = multiply(identity,Z_1162) ),
inference(superposition,[status(thm),theory(equality)],[c_185,c_202615]) ).
tff(c_202793,plain,
! [Z_1168] : ( multiply(sk_c3,multiply(sk_c2,Z_1168)) = Z_1168 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_202666]) ).
tff(c_202805,plain,
multiply(sk_c3,sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_141718,c_202793]) ).
tff(c_202829,plain,
! [Z_1170] : ( multiply(sk_c2,multiply(sk_c3,Z_1170)) = multiply(sk_c11,Z_1170) ),
inference(superposition,[status(thm),theory(equality)],[c_141718,c_202615]) ).
tff(c_202844,plain,
multiply(sk_c2,sk_c3) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_202805,c_202829]) ).
tff(c_202854,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141718,c_202844]) ).
tff(c_141725,plain,
multiply(sk_c12,sk_c5) = sk_c11,
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_202918,plain,
multiply(sk_c11,sk_c11) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_141725,c_202897]) ).
tff(c_202928,plain,
sk_c5 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_202854,c_202918]) ).
tff(c_202654,plain,
! [Z_1162] : ( multiply(sk_c12,multiply(sk_c5,Z_1162)) = multiply(sk_c11,Z_1162) ),
inference(superposition,[status(thm),theory(equality)],[c_141725,c_202615]) ).
tff(c_202956,plain,
! [Z_1173] : ( multiply(sk_c12,multiply(sk_c11,Z_1173)) = multiply(sk_c11,Z_1173) ),
inference(demodulation,[status(thm),theory(equality)],[c_202928,c_202654]) ).
tff(c_202971,plain,
multiply(sk_c12,sk_c1) = multiply(sk_c11,identity),
inference(superposition,[status(thm),theory(equality)],[c_202921,c_202956]) ).
tff(c_202984,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_202921,c_199,c_202971]) ).
tff(c_36,plain,
( ( multiply(sk_c10,sk_c11) = sk_c12 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_201836,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_201874,plain,
! [X_1141,Y_1142,Z_1143] : ( multiply(multiply(X_1141,Y_1142),Z_1143) = multiply(X_1141,multiply(Y_1142,Z_1143)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_201925,plain,
! [Z_1143] : ( multiply(sk_c12,multiply(sk_c1,Z_1143)) = multiply(identity,Z_1143) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_201874]) ).
tff(c_201952,plain,
! [Z_1144] : ( multiply(sk_c12,multiply(sk_c1,Z_1144)) = Z_1144 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201925]) ).
tff(c_201964,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_201836,c_201952]) ).
tff(c_201910,plain,
! [Z_1143] : ( multiply(sk_c11,multiply(sk_c12,Z_1143)) = multiply(identity,Z_1143) ),
inference(superposition,[status(thm),theory(equality)],[c_201770,c_201874]) ).
tff(c_202189,plain,
! [Z_1153] : ( multiply(sk_c11,multiply(sk_c12,Z_1153)) = Z_1153 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201910]) ).
tff(c_202210,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_201964,c_202189]) ).
tff(c_202219,plain,
multiply(sk_c11,sk_c11) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_141725,c_202189]) ).
tff(c_202291,plain,
sk_c5 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_202210,c_202219]) ).
tff(c_202142,plain,
! [Z_1152] : ( multiply(sk_c1,multiply(sk_c11,Z_1152)) = multiply(sk_c12,Z_1152) ),
inference(superposition,[status(thm),theory(equality)],[c_201836,c_201874]) ).
tff(c_202157,plain,
multiply(sk_c12,sk_c12) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_201770,c_202142]) ).
tff(c_202161,plain,
multiply(sk_c1,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_201964,c_202157]) ).
tff(c_201947,plain,
! [Z_1143] : ( multiply(sk_c12,multiply(sk_c1,Z_1143)) = Z_1143 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201925]) ).
tff(c_202165,plain,
multiply(sk_c12,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_202161,c_201947]) ).
tff(c_201898,plain,
! [Z_1143] : ( multiply(sk_c1,multiply(sk_c11,Z_1143)) = multiply(sk_c12,Z_1143) ),
inference(superposition,[status(thm),theory(equality)],[c_201836,c_201874]) ).
tff(c_202256,plain,
multiply(sk_c12,sk_c11) = multiply(sk_c1,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_202219,c_201898]) ).
tff(c_202262,plain,
multiply(sk_c1,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_202165,c_202256]) ).
tff(c_202311,plain,
multiply(sk_c1,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_202291,c_202262]) ).
tff(c_202222,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_199,c_202189]) ).
tff(c_202225,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_173,c_202189]) ).
tff(c_202241,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_202222,c_202225]) ).
tff(c_201257,plain,
! [X_1133,Y_1134,Z_1135] : ( multiply(multiply(X_1133,Y_1134),Z_1135) = multiply(X_1133,multiply(Y_1134,Z_1135)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_201317,plain,
! [X_2,Z_1135] : ( multiply(inverse(X_2),multiply(X_2,Z_1135)) = multiply(identity,Z_1135) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_201257]) ).
tff(c_201435,plain,
! [X_1138,Z_1139] : ( multiply(inverse(X_1138),multiply(X_1138,Z_1139)) = Z_1139 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201317]) ).
tff(c_201480,plain,
multiply(inverse(sk_c2),sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_141718,c_201435]) ).
tff(c_201504,plain,
multiply(sk_c3,sk_c11) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_181,c_201480]) ).
tff(c_201333,plain,
! [X_2,Z_1135] : ( multiply(inverse(X_2),multiply(X_2,Z_1135)) = Z_1135 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201317]) ).
tff(c_201518,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_201504,c_201333]) ).
tff(c_201524,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_201518]) ).
tff(c_141731,plain,
multiply(sk_c4,sk_c12) = sk_c5,
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_201314,plain,
! [Z_1135] : ( multiply(sk_c12,multiply(sk_c4,Z_1135)) = multiply(identity,Z_1135) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_201257]) ).
tff(c_201348,plain,
! [Z_1137] : ( multiply(sk_c12,multiply(sk_c4,Z_1137)) = Z_1137 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201314]) ).
tff(c_201360,plain,
multiply(sk_c12,sk_c5) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_141731,c_201348]) ).
tff(c_201364,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141725,c_201360]) ).
tff(c_201379,plain,
inverse(sk_c1) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_201364,c_195]) ).
tff(c_201423,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_201379,c_4]) ).
tff(c_201638,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201524,c_201423]) ).
tff(c_141851,plain,
! [X_784,Y_785,Z_786] : ( multiply(multiply(X_784,Y_785),Z_786) = multiply(X_784,multiply(Y_785,Z_786)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_141908,plain,
! [Z_786] : ( multiply(sk_c3,multiply(sk_c2,Z_786)) = multiply(identity,Z_786) ),
inference(superposition,[status(thm),theory(equality)],[c_185,c_141851]) ).
tff(c_187422,plain,
! [Z_1002] : ( multiply(sk_c3,multiply(sk_c2,Z_1002)) = Z_1002 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_141908]) ).
tff(c_187434,plain,
multiply(sk_c3,sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_141718,c_187422]) ).
tff(c_141914,plain,
! [X_2,Z_786] : ( multiply(inverse(X_2),multiply(X_2,Z_786)) = multiply(identity,Z_786) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_141851]) ).
tff(c_190970,plain,
! [X_1042,Z_1043] : ( multiply(inverse(X_1042),multiply(X_1042,Z_1043)) = Z_1043 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_141914]) ).
tff(c_191015,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_187434,c_190970]) ).
tff(c_191066,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_191015]) ).
tff(c_141930,plain,
! [X_2,Z_786] : ( multiply(inverse(X_2),multiply(X_2,Z_786)) = Z_786 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_141914]) ).
tff(c_191475,plain,
! [X_1046,Z_1047] : ( multiply(inverse(inverse(X_1046)),Z_1047) = multiply(X_1046,Z_1047) ),
inference(superposition,[status(thm),theory(equality)],[c_190970,c_141930]) ).
tff(c_191054,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_190970]) ).
tff(c_191485,plain,
! [X_1046] : ( multiply(X_1046,identity) = X_1046 ),
inference(superposition,[status(thm),theory(equality)],[c_191475,c_191054]) ).
tff(c_187591,plain,
! [X_1005,Z_1006] : ( multiply(inverse(X_1005),multiply(X_1005,Z_1006)) = Z_1006 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_141914]) ).
tff(c_188096,plain,
! [X_1009,Z_1010] : ( multiply(inverse(inverse(X_1009)),Z_1010) = multiply(X_1009,Z_1010) ),
inference(superposition,[status(thm),theory(equality)],[c_187591,c_141930]) ).
tff(c_188143,plain,
! [X_1009] : ( multiply(X_1009,inverse(X_1009)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_188096]) ).
tff(c_187636,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_187434,c_187591]) ).
tff(c_187687,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_187636]) ).
tff(c_187675,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_187591]) ).
tff(c_188106,plain,
! [X_1009] : ( multiply(X_1009,identity) = X_1009 ),
inference(superposition,[status(thm),theory(equality)],[c_188096,c_187675]) ).
tff(c_141911,plain,
! [Z_786] : ( multiply(sk_c12,multiply(sk_c4,Z_786)) = multiply(identity,Z_786) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_141851]) ).
tff(c_187476,plain,
! [Z_1004] : ( multiply(sk_c12,multiply(sk_c4,Z_1004)) = Z_1004 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_141911]) ).
tff(c_187494,plain,
multiply(sk_c12,sk_c5) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_141731,c_187476]) ).
tff(c_187498,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141725,c_187494]) ).
tff(c_142089,plain,
! [Z_790] : ( multiply(sk_c3,multiply(sk_c2,Z_790)) = Z_790 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_141908]) ).
tff(c_142101,plain,
multiply(sk_c3,sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_141718,c_142089]) ).
tff(c_142295,plain,
! [X_795,Z_796] : ( multiply(inverse(X_795),multiply(X_795,Z_796)) = Z_796 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_141914]) ).
tff(c_142340,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_142101,c_142295]) ).
tff(c_142391,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_142340]) ).
tff(c_142143,plain,
! [Z_792] : ( multiply(sk_c12,multiply(sk_c4,Z_792)) = Z_792 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_141911]) ).
tff(c_142161,plain,
multiply(sk_c12,sk_c5) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_141731,c_142143]) ).
tff(c_142165,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141725,c_142161]) ).
tff(c_141751,plain,
inverse(sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_141706,c_80]) ).
tff(c_142177,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_142165,c_141751]) ).
tff(c_142401,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142391,c_142391,c_142177]) ).
tff(c_142815,plain,
! [X_800,Z_801] : ( multiply(inverse(inverse(X_800)),Z_801) = multiply(X_800,Z_801) ),
inference(superposition,[status(thm),theory(equality)],[c_141930,c_142295]) ).
tff(c_142379,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_142295]) ).
tff(c_142825,plain,
! [X_800] : ( multiply(X_800,identity) = X_800 ),
inference(superposition,[status(thm),theory(equality)],[c_142815,c_142379]) ).
tff(c_141935,plain,
! [Z_787] : ( multiply(sk_c12,multiply(sk_c4,Z_787)) = Z_787 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_141911]) ).
tff(c_141947,plain,
multiply(sk_c12,sk_c5) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_141731,c_141935]) ).
tff(c_141951,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141725,c_141947]) ).
tff(c_141965,plain,
inverse(sk_c1) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141951,c_195]) ).
tff(c_42,plain,
( ( multiply(sk_c9,sk_c10) = sk_c8 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_141816,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_141955,plain,
multiply(sk_c1,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141951,c_141816]) ).
tff(c_141933,plain,
! [X7_10,X3_8,X10_15,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141751,c_152]) ).
tff(c_141934,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_141933]) ).
tff(c_141993,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c11) != sk_c11 )
| ( inverse(X6_7) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141951,c_141951,c_141934]) ).
tff(c_142054,plain,
inverse(sk_c1) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_141955,c_141993]) ).
tff(c_142063,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_141965,c_142054]) ).
tff(c_142064,plain,
! [X7_10,X3_8,X10_15,X4_14,X1_11] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_141933]) ).
tff(c_142065,plain,
! [X4_14,X3_8] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_142064]) ).
tff(c_142197,plain,
! [X4_14,X3_8] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c11 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142165,c_142165,c_142065]) ).
tff(c_142249,plain,
! [X4_14] :
( ( inverse(multiply(X4_14,sk_c11)) != inverse(sk_c11) )
| ( multiply(X4_14,inverse(sk_c11)) != inverse(X4_14) )
| ( multiply(inverse(sk_c11),sk_c11) != sk_c11 )
| ( multiply(sk_c11,inverse(sk_c11)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_142177,c_142197]) ).
tff(c_142255,plain,
! [X4_14] :
( ( inverse(multiply(X4_14,sk_c11)) != sk_c11 )
| ( multiply(X4_14,sk_c11) != inverse(X4_14) )
| ( sk_c11 != identity )
| ( multiply(sk_c11,sk_c11) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142177,c_4,c_142177,c_142177,c_142249]) ).
tff(c_187365,plain,
! [X4_1000] :
( ( inverse(X4_1000) != identity )
| ( inverse(X4_1000) != X4_1000 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_142391,c_142391,c_142825,c_142391,c_142825,c_142391,c_142391,c_142255]) ).
tff(c_187383,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_142401,c_187365]) ).
tff(c_187397,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142401,c_187383]) ).
tff(c_187398,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_142064]) ).
tff(c_187530,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c11 )
| ( inverse(X1_11) != sk_c11 )
| ( inverse(X10_15) != sk_c11 )
| ( multiply(sk_c11,multiply(X10_15,sk_c11)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c11) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_187498,c_187498,c_187498,c_187498,c_187498,c_187498,c_187398]) ).
tff(c_187531,plain,
! [X7_10] :
( ( multiply(inverse(X7_10),sk_c11) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_187530]) ).
tff(c_190907,plain,
! [X7_10] : ( inverse(X7_10) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_188143,c_187687,c_188106,c_187687,c_187687,c_187531]) ).
tff(c_187510,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_187498,c_141751]) ).
tff(c_187697,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_187687,c_187687,c_187510]) ).
tff(c_190909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_190907,c_187697]) ).
tff(c_190910,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != sk_c11 )
| ( multiply(sk_c11,multiply(X10_15,sk_c11)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c11 )
| ( inverse(X1_11) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_187530]) ).
tff(c_201205,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != identity )
| ( identity != X10_15 )
| ( identity != X1_11 )
| ( inverse(X1_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_191066,c_191485,c_191066,c_191066,c_191485,c_191066,c_191066,c_2,c_191066,c_191066,c_190910]) ).
tff(c_201207,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_201205]) ).
tff(c_191076,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_191066,c_191066,c_187510]) ).
tff(c_201209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201207,c_191076]) ).
tff(c_201211,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_201205]) ).
tff(c_201213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201211,c_191076]) ).
tff(c_201215,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_201369,plain,
multiply(sk_c1,sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_201364,c_201215]) ).
tff(c_201748,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201638,c_201524,c_201524,c_201369]) ).
tff(c_201750,plain,
multiply(sk_c4,sk_c12) != sk_c5,
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_202243,plain,
multiply(sk_c1,sk_c12) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_202241,c_201750]) ).
tff(c_202303,plain,
multiply(sk_c1,sk_c12) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_202291,c_202243]) ).
tff(c_202323,plain,
sk_c12 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_202311,c_202303]) ).
tff(c_201809,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_201750,c_124]) ).
tff(c_201830,plain,
multiply(sk_c7,sk_c10) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_201750,c_122]) ).
tff(c_201934,plain,
! [X_2,Z_1143] : ( multiply(inverse(X_2),multiply(X_2,Z_1143)) = multiply(identity,Z_1143) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_201874]) ).
tff(c_202443,plain,
! [X_1158,Z_1159] : ( multiply(inverse(X_1158),multiply(X_1158,Z_1159)) = Z_1159 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201934]) ).
tff(c_202497,plain,
multiply(inverse(sk_c7),sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_201830,c_202443]) ).
tff(c_202544,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_201809,c_202497]) ).
tff(c_201950,plain,
! [X_2,Z_1143] : ( multiply(inverse(X_2),multiply(X_2,Z_1143)) = Z_1143 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201934]) ).
tff(c_202567,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_202544,c_201950]) ).
tff(c_202573,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_202567]) ).
tff(c_202575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202323,c_202573]) ).
tff(c_202577,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_202991,plain,
multiply(identity,sk_c11) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_202984,c_202577]) ).
tff(c_202995,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_202991]) ).
tff(c_201779,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_201750,c_118]) ).
tff(c_201783,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_201779,c_4]) ).
tff(c_202915,plain,
multiply(sk_c11,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_201783,c_202897]) ).
tff(c_202955,plain,
! [Z_1162] : ( multiply(sk_c12,multiply(sk_c11,Z_1162)) = multiply(sk_c11,Z_1162) ),
inference(demodulation,[status(thm),theory(equality)],[c_202928,c_202654]) ).
tff(c_203014,plain,
multiply(sk_c12,sk_c6) = multiply(sk_c11,identity),
inference(superposition,[status(thm),theory(equality)],[c_202915,c_202955]) ).
tff(c_203020,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_202915,c_201783,c_203014]) ).
tff(c_84,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( multiply(sk_c3,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_202584,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_141706,c_84]) ).
tff(c_203061,plain,
multiply(identity,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_203020,c_202584]) ).
tff(c_203064,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203061]) ).
tff(c_203066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202995,c_203064]) ).
tff(c_203067,plain,
inverse(sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_203072,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_203067,c_4]) ).
tff(c_210964,plain,
! [Z_1277] : ( multiply(sk_c1,multiply(sk_c11,Z_1277)) = multiply(sk_c12,Z_1277) ),
inference(superposition,[status(thm),theory(equality)],[c_203105,c_203619]) ).
tff(c_210982,plain,
multiply(sk_c12,sk_c12) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_203072,c_210964]) ).
tff(c_210987,plain,
multiply(sk_c1,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_203706,c_210982]) ).
tff(c_203689,plain,
! [Z_1191] : ( multiply(sk_c12,multiply(sk_c1,Z_1191)) = Z_1191 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203667]) ).
tff(c_210991,plain,
multiply(sk_c12,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_210987,c_203689]) ).
tff(c_203670,plain,
! [Z_1191] : ( multiply(sk_c3,multiply(sk_c2,Z_1191)) = multiply(identity,Z_1191) ),
inference(superposition,[status(thm),theory(equality)],[c_185,c_203619]) ).
tff(c_203865,plain,
! [Z_1198] : ( multiply(sk_c3,multiply(sk_c2,Z_1198)) = Z_1198 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203670]) ).
tff(c_203877,plain,
multiply(sk_c3,sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_141718,c_203865]) ).
tff(c_203888,plain,
! [Z_1199] : ( multiply(sk_c2,multiply(sk_c3,Z_1199)) = multiply(sk_c11,Z_1199) ),
inference(superposition,[status(thm),theory(equality)],[c_141718,c_203619]) ).
tff(c_203903,plain,
multiply(sk_c2,sk_c3) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_203877,c_203888]) ).
tff(c_203913,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_141718,c_203903]) ).
tff(c_210979,plain,
multiply(sk_c12,sk_c11) = multiply(sk_c1,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_203913,c_210964]) ).
tff(c_210986,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_203105,c_210979]) ).
tff(c_211007,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_210991,c_210986]) ).
tff(c_211011,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_211007,c_211007,c_203706]) ).
tff(c_211029,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_211011]) ).
tff(c_204010,plain,
! [Z_1204] : ( multiply(sk_c1,multiply(sk_c11,Z_1204)) = multiply(sk_c12,Z_1204) ),
inference(superposition,[status(thm),theory(equality)],[c_203105,c_203619]) ).
tff(c_204028,plain,
multiply(sk_c12,sk_c12) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_203072,c_204010]) ).
tff(c_204033,plain,
multiply(sk_c1,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_203706,c_204028]) ).
tff(c_204037,plain,
multiply(sk_c12,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_204033,c_203689]) ).
tff(c_204025,plain,
multiply(sk_c12,sk_c11) = multiply(sk_c1,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_203913,c_204010]) ).
tff(c_204032,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_203105,c_204025]) ).
tff(c_204053,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_204037,c_204032]) ).
tff(c_204059,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_204053,c_204053,c_203706]) ).
tff(c_204077,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204059]) ).
tff(c_204070,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_204053,c_203067]) ).
tff(c_204145,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_204077,c_204070]) ).
tff(c_204204,plain,
! [X_1207,Z_1208] : ( multiply(inverse(X_1207),multiply(X_1207,Z_1208)) = Z_1208 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203676]) ).
tff(c_204674,plain,
! [X_1212,Z_1213] : ( multiply(inverse(inverse(X_1212)),Z_1213) = multiply(X_1212,Z_1213) ),
inference(superposition,[status(thm),theory(equality)],[c_204204,c_203692]) ).
tff(c_204276,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_204204]) ).
tff(c_204684,plain,
! [X_1212] : ( multiply(X_1212,identity) = X_1212 ),
inference(superposition,[status(thm),theory(equality)],[c_204674,c_204276]) ).
tff(c_203068,plain,
multiply(sk_c12,sk_c5) != sk_c11,
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_203110,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_203068,c_100]) ).
tff(c_203159,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_141706,c_84]) ).
tff(c_203711,plain,
! [X7_10,X3_8,X10_15,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203067,c_152]) ).
tff(c_203824,plain,
! [X6_1197] :
( ( multiply(X6_1197,sk_c11) != sk_c12 )
| ( inverse(X6_1197) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_203711]) ).
tff(c_203840,plain,
inverse(sk_c6) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_203159,c_203824]) ).
tff(c_203856,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_203110,c_203840]) ).
tff(c_203857,plain,
! [X7_10,X3_8,X10_15,X4_14,X1_11] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_203711]) ).
tff(c_203969,plain,
! [X4_14,X3_8] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_203857]) ).
tff(c_204097,plain,
! [X4_14,X3_8] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),identity) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_204053,c_204077,c_204053,c_203969]) ).
tff(c_204148,plain,
! [X4_14] :
( ( inverse(multiply(X4_14,identity)) != inverse(identity) )
| ( multiply(X4_14,inverse(identity)) != inverse(X4_14) )
| ( multiply(inverse(identity),identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_204145,c_204097]) ).
tff(c_204155,plain,
! [X4_14] :
( ( inverse(multiply(X4_14,identity)) != identity )
| ( multiply(X4_14,identity) != inverse(X4_14) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_204145,c_2,c_4,c_204145,c_204145,c_204148]) ).
tff(c_210936,plain,
! [X4_1276] :
( ( inverse(X4_1276) != identity )
| ( inverse(X4_1276) != X4_1276 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_204684,c_204684,c_204155]) ).
tff(c_210950,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_204145,c_210936]) ).
tff(c_210962,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_204145,c_210950]) ).
tff(c_210963,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_203857]) ).
tff(c_211049,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,identity) != identity )
| ( inverse(X1_11) != identity )
| ( inverse(X10_15) != identity )
| ( multiply(X10_15,identity) != identity )
| ( multiply(inverse(X7_10),identity) != identity )
| ( multiply(X7_10,inverse(X7_10)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_211029,c_211029,c_211007,c_211029,c_211007,c_2,c_211007,c_211007,c_211007,c_211029,c_211007,c_210963]) ).
tff(c_211050,plain,
! [X7_10] :
( ( multiply(inverse(X7_10),identity) != identity )
| ( multiply(X7_10,inverse(X7_10)) != identity ) ),
inference(splitLeft,[status(thm)],[c_211049]) ).
tff(c_220445,plain,
! [X7_10] : ( inverse(X7_10) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_211637,c_211600,c_211050]) ).
tff(c_211022,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_211007,c_203067]) ).
tff(c_211065,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_211029,c_211022]) ).
tff(c_220447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_220445,c_211065]) ).
tff(c_220448,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != identity )
| ( multiply(X10_15,identity) != identity )
| ( multiply(X1_11,identity) != identity )
| ( inverse(X1_11) != identity ) ),
inference(splitRight,[status(thm)],[c_211049]) ).
tff(c_355605,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != identity )
| ( identity != X10_15 )
| ( identity != X1_11 )
| ( inverse(X1_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_221009,c_221009,c_220448]) ).
tff(c_355607,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_355605]) ).
tff(c_220547,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_211029,c_211022]) ).
tff(c_355609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355607,c_220547]) ).
tff(c_355611,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_355605]) ).
tff(c_355613,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355611,c_220547]) ).
tff(c_355615,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_356271,plain,
! [X_1784,Y_1785,Z_1786] : ( multiply(multiply(X_1784,Y_1785),Z_1786) = multiply(X_1784,multiply(Y_1785,Z_1786)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_356307,plain,
! [Z_1786] : ( multiply(sk_c11,multiply(sk_c12,Z_1786)) = multiply(identity,Z_1786) ),
inference(superposition,[status(thm),theory(equality)],[c_203072,c_356271]) ).
tff(c_356637,plain,
! [Z_1799] : ( multiply(sk_c11,multiply(sk_c12,Z_1799)) = Z_1799 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356307]) ).
tff(c_356658,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_199,c_356637]) ).
tff(c_356661,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_173,c_356637]) ).
tff(c_356721,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_356658,c_356661]) ).
tff(c_355629,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_203068,c_100]) ).
tff(c_355633,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_355629,c_4]) ).
tff(c_356655,plain,
multiply(sk_c11,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_355633,c_356637]) ).
tff(c_356699,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_356661,c_356655]) ).
tff(c_355663,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_141706,c_84]) ).
tff(c_356712,plain,
multiply(sk_c4,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_356699,c_355663]) ).
tff(c_356779,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_356721,c_356712]) ).
tff(c_356780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355615,c_356779]) ).
tff(c_356782,plain,
multiply(sk_c2,sk_c3) != sk_c11,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_362244,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_356782,c_48]) ).
tff(c_86,plain,
( ( multiply(sk_c7,sk_c10) = sk_c12 )
| ( multiply(sk_c3,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_359979,plain,
multiply(sk_c7,sk_c10) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_141706,c_86]) ).
tff(c_28,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_359935,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_360016,plain,
! [X_1854,Y_1855,Z_1856] : ( multiply(multiply(X_1854,Y_1855),Z_1856) = multiply(X_1854,multiply(Y_1855,Z_1856)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_360064,plain,
! [Z_1856] : ( multiply(sk_c12,multiply(sk_c1,Z_1856)) = multiply(identity,Z_1856) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_360016]) ).
tff(c_360091,plain,
! [Z_1857] : ( multiply(sk_c12,multiply(sk_c1,Z_1857)) = Z_1857 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_360064]) ).
tff(c_360103,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_359935,c_360091]) ).
tff(c_356837,plain,
multiply(sk_c12,sk_c5) = sk_c11,
inference(splitLeft,[status(thm)],[c_100]) ).
tff(c_356797,plain,
multiply(sk_c4,sk_c12) = sk_c5,
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_357979,plain,
! [X_1817,Y_1818,Z_1819] : ( multiply(multiply(X_1817,Y_1818),Z_1819) = multiply(X_1817,multiply(Y_1818,Z_1819)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_358033,plain,
! [Z_1819] : ( multiply(sk_c12,multiply(sk_c4,Z_1819)) = multiply(identity,Z_1819) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_357979]) ).
tff(c_358080,plain,
! [Z_1822] : ( multiply(sk_c12,multiply(sk_c4,Z_1822)) = Z_1822 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_358033]) ).
tff(c_358092,plain,
multiply(sk_c12,sk_c5) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_356797,c_358080]) ).
tff(c_358096,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_356837,c_358092]) ).
tff(c_356781,plain,
inverse(sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_356786,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_356781,c_4]) ).
tff(c_358413,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_358096,c_356786]) ).
tff(c_356919,plain,
! [X_1803,Y_1804,Z_1805] : ( multiply(multiply(X_1803,Y_1804),Z_1805) = multiply(X_1803,multiply(Y_1804,Z_1805)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_356976,plain,
! [Z_1805] : ( multiply(sk_c12,multiply(sk_c4,Z_1805)) = multiply(identity,Z_1805) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_356919]) ).
tff(c_357020,plain,
! [Z_1807] : ( multiply(sk_c12,multiply(sk_c4,Z_1807)) = Z_1807 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356976]) ).
tff(c_357032,plain,
multiply(sk_c12,sk_c5) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_356797,c_357020]) ).
tff(c_357036,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_356837,c_357032]) ).
tff(c_356838,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_356970,plain,
! [Z_1805] : ( multiply(sk_c12,multiply(sk_c1,Z_1805)) = multiply(identity,Z_1805) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_356919]) ).
tff(c_356997,plain,
! [Z_1806] : ( multiply(sk_c12,multiply(sk_c1,Z_1806)) = Z_1806 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356970]) ).
tff(c_357009,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_356838,c_356997]) ).
tff(c_357158,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_357036,c_357036,c_357009]) ).
tff(c_356979,plain,
! [X_2,Z_1805] : ( multiply(inverse(X_2),multiply(X_2,Z_1805)) = multiply(identity,Z_1805) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_356919]) ).
tff(c_356995,plain,
! [X_2,Z_1805] : ( multiply(inverse(X_2),multiply(X_2,Z_1805)) = Z_1805 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356979]) ).
tff(c_357412,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_357158,c_356995]) ).
tff(c_357418,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_357412]) ).
tff(c_357432,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_357418,c_356782]) ).
tff(c_357261,plain,
! [X_1809,Z_1810] : ( multiply(inverse(X_1809),multiply(X_1809,Z_1810)) = Z_1810 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356979]) ).
tff(c_357743,plain,
! [X_1814,Z_1815] : ( multiply(inverse(inverse(X_1814)),Z_1815) = multiply(X_1814,Z_1815) ),
inference(superposition,[status(thm),theory(equality)],[c_356995,c_357261]) ).
tff(c_357342,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_357261]) ).
tff(c_357798,plain,
! [X_1816] : ( multiply(X_1816,identity) = X_1816 ),
inference(superposition,[status(thm),theory(equality)],[c_357743,c_357342]) ).
tff(c_357336,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_185,c_357261]) ).
tff(c_357815,plain,
inverse(sk_c3) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_357798,c_357336]) ).
tff(c_357888,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_357815,c_4]) ).
tff(c_357894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_357432,c_357888]) ).
tff(c_357895,plain,
inverse(sk_c6) = sk_c12,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_358411,plain,
inverse(sk_c6) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_358096,c_357895]) ).
tff(c_357896,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_30,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( multiply(sk_c1,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_357957,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_357896,c_30]) ).
tff(c_358405,plain,
multiply(sk_c6,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_358096,c_357957]) ).
tff(c_358036,plain,
! [X_2,Z_1819] : ( multiply(inverse(X_2),multiply(X_2,Z_1819)) = multiply(identity,Z_1819) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_357979]) ).
tff(c_358559,plain,
! [X_1828,Z_1829] : ( multiply(inverse(X_1828),multiply(X_1828,Z_1829)) = Z_1829 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_358036]) ).
tff(c_358577,plain,
multiply(inverse(sk_c6),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_358405,c_358559]) ).
tff(c_358656,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_358413,c_358411,c_358577]) ).
tff(c_358417,plain,
inverse(sk_c1) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_358096,c_195]) ).
tff(c_358685,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_358656,c_358417]) ).
tff(c_358762,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_358685,c_4]) ).
tff(c_358052,plain,
! [X_2,Z_1819] : ( multiply(inverse(X_2),multiply(X_2,Z_1819)) = Z_1819 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_358036]) ).
tff(c_358906,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_358762,c_358052]) ).
tff(c_358918,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_358906]) ).
tff(c_358409,plain,
multiply(sk_c1,sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_358096,c_357896]) ).
tff(c_358677,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_358656,c_358656,c_358409]) ).
tff(c_358939,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_358918,c_358677]) ).
tff(c_358941,plain,
multiply(sk_c12,sk_c5) != sk_c11,
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_104,plain,
( ( multiply(sk_c7,sk_c10) = sk_c12 )
| ( multiply(sk_c12,sk_c5) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_358995,plain,
multiply(sk_c7,sk_c10) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_358941,c_104]) ).
tff(c_52,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c2,sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_356802,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_356782,c_52]) ).
tff(c_356806,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_356802,c_4]) ).
tff(c_359023,plain,
! [X_1831,Y_1832,Z_1833] : ( multiply(multiply(X_1831,Y_1832),Z_1833) = multiply(X_1831,multiply(Y_1832,Z_1833)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_359056,plain,
! [Z_1833] : ( multiply(sk_c10,multiply(sk_c7,Z_1833)) = multiply(identity,Z_1833) ),
inference(superposition,[status(thm),theory(equality)],[c_356806,c_359023]) ).
tff(c_359415,plain,
! [Z_1846] : ( multiply(sk_c10,multiply(sk_c7,Z_1846)) = Z_1846 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_359056]) ).
tff(c_359427,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_358995,c_359415]) ).
tff(c_359077,plain,
! [X_2,Z_1833] : ( multiply(inverse(X_2),multiply(X_2,Z_1833)) = multiply(identity,Z_1833) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_359023]) ).
tff(c_359645,plain,
! [X_1851,Z_1852] : ( multiply(inverse(X_1851),multiply(X_1851,Z_1852)) = Z_1852 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_359077]) ).
tff(c_359684,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_359427,c_359645]) ).
tff(c_359771,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_359684]) ).
tff(c_359074,plain,
! [Z_1833] : ( multiply(sk_c12,multiply(sk_c4,Z_1833)) = multiply(identity,Z_1833) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_359023]) ).
tff(c_359230,plain,
! [Z_1839] : ( multiply(sk_c12,multiply(sk_c4,Z_1839)) = Z_1839 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_359074]) ).
tff(c_359242,plain,
multiply(sk_c12,sk_c5) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_356797,c_359230]) ).
tff(c_359246,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_359242,c_358941]) ).
tff(c_359791,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_359771,c_359246]) ).
tff(c_359062,plain,
! [Z_1833] : ( multiply(sk_c11,multiply(sk_c12,Z_1833)) = multiply(identity,Z_1833) ),
inference(superposition,[status(thm),theory(equality)],[c_356786,c_359023]) ).
tff(c_359438,plain,
! [Z_1847] : ( multiply(sk_c11,multiply(sk_c12,Z_1847)) = Z_1847 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_359062]) ).
tff(c_359465,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_199,c_359438]) ).
tff(c_358940,plain,
inverse(sk_c6) = sk_c12,
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_358945,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_358940,c_4]) ).
tff(c_359462,plain,
multiply(sk_c11,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_358945,c_359438]) ).
tff(c_359601,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_359465,c_359462]) ).
tff(c_358984,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_356782,c_48]) ).
tff(c_359603,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_359601,c_358984]) ).
tff(c_359068,plain,
! [Z_1833] : ( multiply(sk_c12,multiply(sk_c1,Z_1833)) = multiply(identity,Z_1833) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_359023]) ).
tff(c_359090,plain,
! [Z_1833] : ( multiply(sk_c12,multiply(sk_c1,Z_1833)) = Z_1833 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_359068]) ).
tff(c_359615,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_359603,c_359090]) ).
tff(c_359886,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359771,c_2,c_359771,c_359615]) ).
tff(c_359887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_359791,c_359886]) ).
tff(c_359888,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_359893,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_359888,c_4]) ).
tff(c_360055,plain,
! [Z_1856] : ( multiply(sk_c10,multiply(sk_c7,Z_1856)) = multiply(identity,Z_1856) ),
inference(superposition,[status(thm),theory(equality)],[c_359893,c_360016]) ).
tff(c_360367,plain,
! [Z_1871] : ( multiply(sk_c10,multiply(sk_c7,Z_1871)) = Z_1871 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_360055]) ).
tff(c_360379,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_359979,c_360367]) ).
tff(c_361347,plain,
! [Z_1886] : ( multiply(sk_c7,multiply(sk_c10,Z_1886)) = multiply(sk_c12,Z_1886) ),
inference(superposition,[status(thm),theory(equality)],[c_359979,c_360016]) ).
tff(c_361365,plain,
multiply(sk_c7,sk_c10) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_360379,c_361347]) ).
tff(c_361387,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_359979,c_360103,c_361365]) ).
tff(c_361401,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_361387,c_356786]) ).
tff(c_360058,plain,
! [Z_1856] : ( multiply(sk_c11,multiply(sk_c12,Z_1856)) = multiply(identity,Z_1856) ),
inference(superposition,[status(thm),theory(equality)],[c_356786,c_360016]) ).
tff(c_361060,plain,
! [Z_1882] : ( multiply(sk_c11,multiply(sk_c12,Z_1882)) = Z_1882 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_360058]) ).
tff(c_361081,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_360103,c_361060]) ).
tff(c_361389,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_361387,c_361081]) ).
tff(c_361448,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_361401,c_361389]) ).
tff(c_361093,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_199,c_361060]) ).
tff(c_361466,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_361448,c_361093]) ).
tff(c_361469,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_361466]) ).
tff(c_359928,plain,
multiply(sk_c12,sk_c5) = sk_c11,
inference(splitLeft,[status(thm)],[c_100]) ).
tff(c_361090,plain,
multiply(sk_c11,sk_c11) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_359928,c_361060]) ).
tff(c_361336,plain,
sk_c5 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_361081,c_361090]) ).
tff(c_361410,plain,
sk_c5 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_361387,c_361336]) ).
tff(c_361096,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_173,c_361060]) ).
tff(c_361134,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_361093,c_361096]) ).
tff(c_359889,plain,
multiply(sk_c4,sk_c12) != sk_c5,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_361147,plain,
multiply(sk_c1,sk_c12) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_361134,c_359889]) ).
tff(c_361390,plain,
multiply(sk_c1,sk_c11) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_361387,c_361147]) ).
tff(c_361438,plain,
multiply(sk_c1,sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_361410,c_361390]) ).
tff(c_361460,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_361448,c_361448,c_361438]) ).
tff(c_361794,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_361469,c_361460]) ).
tff(c_361796,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_361878,plain,
! [X_1890,Y_1891,Z_1892] : ( multiply(multiply(X_1890,Y_1891),Z_1892) = multiply(X_1890,multiply(Y_1891,Z_1892)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_361917,plain,
! [Z_1892] : ( multiply(sk_c11,multiply(sk_c12,Z_1892)) = multiply(identity,Z_1892) ),
inference(superposition,[status(thm),theory(equality)],[c_356786,c_361878]) ).
tff(c_362114,plain,
! [Z_1900] : ( multiply(sk_c11,multiply(sk_c12,Z_1900)) = Z_1900 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_361917]) ).
tff(c_362138,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_199,c_362114]) ).
tff(c_361795,plain,
inverse(sk_c6) = sk_c12,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_361800,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_361795,c_4]) ).
tff(c_362132,plain,
multiply(sk_c11,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_361800,c_362114]) ).
tff(c_362197,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_362138,c_362132]) ).
tff(c_361847,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_141706,c_84]) ).
tff(c_362198,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_362197,c_361847]) ).
tff(c_362202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_361796,c_362198]) ).
tff(c_362203,plain,
inverse(sk_c6) = sk_c12,
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_362208,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_362203,c_4]) ).
tff(c_364597,plain,
! [X_1940,Y_1941,Z_1942] : ( multiply(multiply(X_1940,Y_1941),Z_1942) = multiply(X_1940,multiply(Y_1941,Z_1942)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_364624,plain,
! [Z_1942] : ( multiply(sk_c12,multiply(sk_c6,Z_1942)) = multiply(identity,Z_1942) ),
inference(superposition,[status(thm),theory(equality)],[c_362208,c_364597]) ).
tff(c_365336,plain,
! [Z_1960] : ( multiply(sk_c12,multiply(sk_c6,Z_1960)) = Z_1960 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_364624]) ).
tff(c_365348,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_362244,c_365336]) ).
tff(c_362249,plain,
multiply(sk_c7,sk_c10) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_356782,c_50]) ).
tff(c_364630,plain,
! [Z_1942] : ( multiply(sk_c10,multiply(sk_c7,Z_1942)) = multiply(identity,Z_1942) ),
inference(superposition,[status(thm),theory(equality)],[c_359893,c_364597]) ).
tff(c_365204,plain,
! [Z_1956] : ( multiply(sk_c10,multiply(sk_c7,Z_1956)) = Z_1956 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_364630]) ).
tff(c_365216,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_362249,c_365204]) ).
tff(c_365281,plain,
! [Z_1959] : ( multiply(sk_c7,multiply(sk_c10,Z_1959)) = multiply(sk_c12,Z_1959) ),
inference(superposition,[status(thm),theory(equality)],[c_362249,c_364597]) ).
tff(c_365302,plain,
multiply(sk_c7,sk_c10) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_365216,c_365281]) ).
tff(c_365318,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_362249,c_365302]) ).
tff(c_365352,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_365348,c_365318]) ).
tff(c_365363,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_365352,c_365216]) ).
tff(c_364648,plain,
! [X_2,Z_1942] : ( multiply(inverse(X_2),multiply(X_2,Z_1942)) = multiply(identity,Z_1942) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_364597]) ).
tff(c_365474,plain,
! [X_1963,Z_1964] : ( multiply(inverse(X_1963),multiply(X_1963,Z_1964)) = Z_1964 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_364648]) ).
tff(c_365492,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_365363,c_365474]) ).
tff(c_365571,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_365492]) ).
tff(c_365378,plain,
inverse(sk_c1) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_365352,c_195]) ).
tff(c_365426,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_365378,c_4]) ).
tff(c_365739,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_365571,c_365426]) ).
tff(c_362296,plain,
! [X_1902,Y_1903,Z_1904] : ( multiply(multiply(X_1902,Y_1903),Z_1904) = multiply(X_1902,multiply(Y_1903,Z_1904)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_362335,plain,
! [Z_1904] : ( multiply(sk_c11,multiply(sk_c12,Z_1904)) = multiply(identity,Z_1904) ),
inference(superposition,[status(thm),theory(equality)],[c_356786,c_362296]) ).
tff(c_362687,plain,
! [Z_1916] : ( multiply(sk_c11,multiply(sk_c12,Z_1916)) = Z_1916 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_362335]) ).
tff(c_362717,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_199,c_362687]) ).
tff(c_362268,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_362341,plain,
! [Z_1904] : ( multiply(sk_c12,multiply(sk_c1,Z_1904)) = multiply(identity,Z_1904) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_362296]) ).
tff(c_362368,plain,
! [Z_1905] : ( multiply(sk_c12,multiply(sk_c1,Z_1905)) = Z_1905 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_362341]) ).
tff(c_362380,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_362268,c_362368]) ).
tff(c_362633,plain,
! [Z_1915] : ( multiply(sk_c1,multiply(sk_c11,Z_1915)) = multiply(sk_c12,Z_1915) ),
inference(superposition,[status(thm),theory(equality)],[c_362268,c_362296]) ).
tff(c_362648,plain,
multiply(sk_c12,sk_c12) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_356786,c_362633]) ).
tff(c_362652,plain,
multiply(sk_c1,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_362380,c_362648]) ).
tff(c_362363,plain,
! [Z_1904] : ( multiply(sk_c12,multiply(sk_c1,Z_1904)) = Z_1904 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_362341]) ).
tff(c_362664,plain,
multiply(sk_c12,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_362652,c_362363]) ).
tff(c_362702,plain,
multiply(sk_c11,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_362664,c_362687]) ).
tff(c_364214,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_362717,c_362702]) ).
tff(c_364227,plain,
inverse(sk_c12) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_364214,c_356781]) ).
tff(c_359901,plain,
inverse(sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_359889,c_128]) ).
tff(c_359905,plain,
multiply(sk_c8,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_359901,c_4]) ).
tff(c_141705,plain,
inverse(sk_c8) = sk_c10,
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_141710,plain,
multiply(sk_c10,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_141705,c_4]) ).
tff(c_362338,plain,
! [Z_1904] : ( multiply(sk_c10,multiply(sk_c8,Z_1904)) = multiply(identity,Z_1904) ),
inference(superposition,[status(thm),theory(equality)],[c_141710,c_362296]) ).
tff(c_362611,plain,
! [Z_1914] : ( multiply(sk_c10,multiply(sk_c8,Z_1914)) = Z_1914 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_362338]) ).
tff(c_362629,plain,
multiply(sk_c10,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_359905,c_362611]) ).
tff(c_90,plain,
( ( multiply(sk_c10,sk_c11) = sk_c12 )
| ( multiply(sk_c3,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_362279,plain,
multiply(sk_c10,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_141706,c_90]) ).
tff(c_363382,plain,
! [Z_1926] : ( multiply(sk_c7,multiply(sk_c10,Z_1926)) = multiply(sk_c12,Z_1926) ),
inference(superposition,[status(thm),theory(equality)],[c_362249,c_362296]) ).
tff(c_363403,plain,
multiply(sk_c7,sk_c12) = multiply(sk_c12,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_362279,c_363382]) ).
tff(c_363413,plain,
multiply(sk_c7,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_362664,c_363403]) ).
tff(c_362350,plain,
! [X_2,Z_1904] : ( multiply(inverse(X_2),multiply(X_2,Z_1904)) = multiply(identity,Z_1904) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_362296]) ).
tff(c_364321,plain,
! [X_1937,Z_1938] : ( multiply(inverse(X_1937),multiply(X_1937,Z_1938)) = Z_1938 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_362350]) ).
tff(c_364357,plain,
multiply(inverse(sk_c7),identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_363413,c_364321]) ).
tff(c_364434,plain,
sk_c9 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_362629,c_359888,c_364357]) ).
tff(c_364451,plain,
inverse(sk_c12) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_364434,c_359901]) ).
tff(c_364452,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_364227,c_364451]) ).
tff(c_364461,plain,
inverse(sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_364452,c_141705]) ).
tff(c_364473,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_364461,c_4]) ).
tff(c_364222,plain,
multiply(sk_c10,sk_c1) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_364214,c_362279]) ).
tff(c_364477,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_364473,c_364222]) ).
tff(c_364466,plain,
sk_c12 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_364461,c_195]) ).
tff(c_364516,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_364477,c_364466]) ).
tff(c_363476,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_362717,c_362702]) ).
tff(c_363489,plain,
inverse(sk_c12) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_363476,c_356781]) ).
tff(c_363602,plain,
! [X_1929,Z_1930] : ( multiply(inverse(X_1929),multiply(X_1929,Z_1930)) = Z_1930 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_362350]) ).
tff(c_363641,plain,
multiply(inverse(sk_c7),identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_363413,c_363602]) ).
tff(c_363718,plain,
sk_c9 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_362629,c_359888,c_363641]) ).
tff(c_363735,plain,
inverse(sk_c12) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_363718,c_359901]) ).
tff(c_363736,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_363489,c_363735]) ).
tff(c_363745,plain,
inverse(sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_363736,c_141705]) ).
tff(c_363759,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_363745,c_4]) ).
tff(c_363484,plain,
multiply(sk_c10,sk_c1) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_363476,c_362279]) ).
tff(c_363764,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_363759,c_363484]) ).
tff(c_363750,plain,
sk_c12 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_363745,c_195]) ).
tff(c_363803,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_363764,c_363750]) ).
tff(c_363780,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_363750,c_363718]) ).
tff(c_363808,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_363803,c_363780]) ).
tff(c_132,plain,
( ( multiply(sk_c9,sk_c10) = sk_c8 )
| ( multiply(sk_c4,sk_c12) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_362254,plain,
multiply(sk_c9,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_359889,c_132]) ).
tff(c_362317,plain,
! [Z_1904] : ( multiply(sk_c9,multiply(sk_c10,Z_1904)) = multiply(sk_c8,Z_1904) ),
inference(superposition,[status(thm),theory(equality)],[c_362254,c_362296]) ).
tff(c_363821,plain,
! [Z_1904] : ( multiply(sk_c1,Z_1904) = Z_1904 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_363808,c_2,c_363803,c_363736,c_362317]) ).
tff(c_363481,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_363476,c_362652]) ).
tff(c_363822,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_363821,c_363481]) ).
tff(c_362708,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_362380,c_362687]) ).
tff(c_362314,plain,
! [Z_1904] : ( multiply(sk_c1,multiply(sk_c11,Z_1904)) = multiply(sk_c12,Z_1904) ),
inference(superposition,[status(thm),theory(equality)],[c_362268,c_362296]) ).
tff(c_363447,plain,
multiply(sk_c12,sk_c11) = multiply(sk_c1,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_362708,c_362314]) ).
tff(c_363453,plain,
multiply(sk_c1,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_362664,c_363447]) ).
tff(c_362956,plain,
! [X_1921,Z_1922] : ( multiply(inverse(X_1921),multiply(X_1921,Z_1922)) = Z_1922 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_362350]) ).
tff(c_363004,plain,
multiply(inverse(sk_c12),identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_362664,c_362956]) ).
tff(c_363087,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_362717,c_356781,c_363004]) ).
tff(c_362882,plain,
! [Z_1920] : ( multiply(sk_c10,multiply(sk_c11,Z_1920)) = multiply(sk_c12,Z_1920) ),
inference(superposition,[status(thm),theory(equality)],[c_362279,c_362296]) ).
tff(c_362906,plain,
multiply(sk_c12,sk_c12) = multiply(sk_c10,identity),
inference(superposition,[status(thm),theory(equality)],[c_356786,c_362882]) ).
tff(c_362911,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_362629,c_362380,c_362906]) ).
tff(c_362912,plain,
multiply(sk_c10,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_362911,c_362629]) ).
tff(c_362757,plain,
! [Z_1917] : ( multiply(sk_c7,multiply(sk_c10,Z_1917)) = multiply(sk_c12,Z_1917) ),
inference(superposition,[status(thm),theory(equality)],[c_362249,c_362296]) ).
tff(c_362778,plain,
multiply(sk_c7,sk_c12) = multiply(sk_c12,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_362279,c_362757]) ).
tff(c_362788,plain,
multiply(sk_c7,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_362664,c_362778]) ).
tff(c_362989,plain,
multiply(inverse(sk_c7),identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_362788,c_362956]) ).
tff(c_363082,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_362912,c_359888,c_362989]) ).
tff(c_363117,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_363082,c_356781]) ).
tff(c_363161,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_363087,c_363087,c_363117]) ).
tff(c_362916,plain,
inverse(sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_362911,c_359901]) ).
tff(c_363128,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_363087,c_362916]) ).
tff(c_363172,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_363161,c_363128]) ).
tff(c_363178,plain,
inverse(sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_363172,c_141705]) ).
tff(c_363179,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_363161,c_363178]) ).
tff(c_363125,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_363087,c_363082]) ).
tff(c_363040,plain,
multiply(inverse(sk_c7),sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_362249,c_362956]) ).
tff(c_363094,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_359888,c_363040]) ).
tff(c_363227,plain,
multiply(sk_c1,sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_363179,c_363179,c_363125,c_363094]) ).
tff(c_362366,plain,
! [X_2,Z_1904] : ( multiply(inverse(X_2),multiply(X_2,Z_1904)) = Z_1904 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_362350]) ).
tff(c_363234,plain,
multiply(inverse(sk_c1),sk_c1) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_363227,c_362366]) ).
tff(c_363241,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_363234]) ).
tff(c_363249,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_363241,c_363241,c_363161]) ).
tff(c_363247,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_363241,c_363179]) ).
tff(c_362418,plain,
! [X7_10,X3_8,X10_15,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_356781,c_152]) ).
tff(c_362556,plain,
! [X6_1912] :
( ( multiply(X6_1912,sk_c11) != sk_c12 )
| ( inverse(X6_1912) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_362418]) ).
tff(c_362569,plain,
inverse(sk_c1) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_362268,c_362556]) ).
tff(c_362586,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_195,c_362569]) ).
tff(c_362587,plain,
! [X7_10,X3_8,X10_15,X4_14,X1_11] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_362418]) ).
tff(c_362818,plain,
! [X4_1918,X3_1919] :
( ( inverse(multiply(X4_1918,inverse(X3_1919))) != inverse(X3_1919) )
| ( multiply(X4_1918,inverse(X3_1919)) != inverse(X4_1918) )
| ( multiply(inverse(X3_1919),sk_c11) != sk_c12 )
| ( multiply(X3_1919,inverse(X3_1919)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_362587]) ).
tff(c_362825,plain,
! [X4_1918] :
( ( inverse(multiply(X4_1918,sk_c10)) != inverse(sk_c7) )
| ( multiply(X4_1918,inverse(sk_c7)) != inverse(X4_1918) )
| ( multiply(inverse(sk_c7),sk_c11) != sk_c12 )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_359888,c_362818]) ).
tff(c_362843,plain,
! [X4_1918] :
( ( inverse(multiply(X4_1918,sk_c10)) != sk_c10 )
| ( multiply(X4_1918,sk_c10) != inverse(X4_1918) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_362249,c_359888,c_362279,c_359888,c_359888,c_359888,c_362825]) ).
tff(c_363332,plain,
! [X4_1925] :
( ( inverse(multiply(X4_1925,identity)) != identity )
| ( multiply(X4_1925,identity) != inverse(X4_1925) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_363247,c_363247,c_363247,c_362843]) ).
tff(c_363340,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_363332]) ).
tff(c_363348,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_363249,c_363249,c_4,c_363249,c_363340]) ).
tff(c_363349,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_362587]) ).
tff(c_363443,plain,
! [X7_10] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_363349]) ).
tff(c_363516,plain,
! [X7_1927] :
( ( multiply(inverse(X7_1927),sk_c12) != sk_c1 )
| ( multiply(X7_1927,inverse(X7_1927)) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_363476,c_363476,c_363443]) ).
tff(c_363518,plain,
( ( multiply(sk_c1,sk_c12) != sk_c1 )
| ( multiply(sk_c12,inverse(sk_c12)) != sk_c1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_363489,c_363516]) ).
tff(c_363532,plain,
( ( sk_c1 != identity )
| ( sk_c1 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199,c_363489,c_363453,c_363518]) ).
tff(c_364028,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_363822,c_363822,c_363532]) ).
tff(c_364029,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_363349]) ).
tff(c_364149,plain,
! [X1_1935] :
( ( multiply(X1_1935,sk_c11) != sk_c12 )
| ( inverse(X1_1935) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_364029]) ).
tff(c_364165,plain,
inverse(sk_c1) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_362268,c_364149]) ).
tff(c_364180,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_195,c_364165]) ).
tff(c_364181,plain,
! [X10_15] :
( ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_364029]) ).
tff(c_364254,plain,
! [X10_1936] :
( ( inverse(X10_1936) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_1936,sk_c12)) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_364214,c_364181]) ).
tff(c_364264,plain,
( ( inverse(sk_c1) != sk_c12 )
| ( sk_c12 != sk_c1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_362363,c_364254]) ).
tff(c_364281,plain,
sk_c12 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_195,c_364264]) ).
tff(c_364497,plain,
sk_c10 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_364466,c_364281]) ).
tff(c_364521,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_364516,c_364497]) ).
tff(c_364500,plain,
inverse(sk_c10) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_364466,c_364227]) ).
tff(c_364554,plain,
inverse(identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_364516,c_364500]) ).
tff(c_364561,plain,
multiply(sk_c1,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_364554,c_4]) ).
tff(c_364219,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_364214,c_362652]) ).
tff(c_364566,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_364561,c_364219]) ).
tff(c_364568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_364521,c_364566]) ).
tff(c_364570,plain,
multiply(sk_c1,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_365366,plain,
multiply(sk_c1,sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_365352,c_364570]) ).
tff(c_365582,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_365571,c_365571,c_365366]) ).
tff(c_365827,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_365739,c_365582]) ).
tff(c_365829,plain,
inverse(sk_c1) != sk_c12,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_12,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_365909,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_365829,c_12]) ).
tff(c_365828,plain,
inverse(sk_c6) = sk_c12,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_365833,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_365828,c_4]) ).
tff(c_365968,plain,
! [X_1966,Y_1967,Z_1968] : ( multiply(multiply(X_1966,Y_1967),Z_1968) = multiply(X_1966,multiply(Y_1967,Z_1968)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_366007,plain,
! [Z_1968] : ( multiply(sk_c12,multiply(sk_c6,Z_1968)) = multiply(identity,Z_1968) ),
inference(superposition,[status(thm),theory(equality)],[c_365833,c_365968]) ).
tff(c_366247,plain,
! [Z_1976] : ( multiply(sk_c12,multiply(sk_c6,Z_1976)) = Z_1976 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_366007]) ).
tff(c_366259,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_365909,c_366247]) ).
tff(c_14,plain,
( ( multiply(sk_c7,sk_c10) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_365904,plain,
multiply(sk_c7,sk_c10) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_365829,c_14]) ).
tff(c_16,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_365879,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_365829,c_16]) ).
tff(c_365883,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_365879,c_4]) ).
tff(c_365995,plain,
! [Z_1968] : ( multiply(sk_c10,multiply(sk_c7,Z_1968)) = multiply(identity,Z_1968) ),
inference(superposition,[status(thm),theory(equality)],[c_365883,c_365968]) ).
tff(c_366059,plain,
! [Z_1971] : ( multiply(sk_c10,multiply(sk_c7,Z_1971)) = Z_1971 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_365995]) ).
tff(c_366071,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_365904,c_366059]) ).
tff(c_366174,plain,
! [Z_1974] : ( multiply(sk_c7,multiply(sk_c10,Z_1974)) = multiply(sk_c12,Z_1974) ),
inference(superposition,[status(thm),theory(equality)],[c_365904,c_365968]) ).
tff(c_366189,plain,
multiply(sk_c7,sk_c10) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_366071,c_366174]) ).
tff(c_366205,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_365904,c_366189]) ).
tff(c_373637,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_366259,c_366205]) ).
tff(c_8,plain,
( ( inverse(sk_c12) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_365841,plain,
inverse(sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_365829,c_8]) ).
tff(c_373655,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_373637,c_365841]) ).
tff(c_373668,plain,
multiply(sk_c11,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_373655,c_4]) ).
tff(c_373645,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_373637,c_373637,c_366259]) ).
tff(c_379554,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_373668,c_373645]) ).
tff(c_366016,plain,
! [X_2,Z_1968] : ( multiply(inverse(X_2),multiply(X_2,Z_1968)) = multiply(identity,Z_1968) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_365968]) ).
tff(c_379431,plain,
! [X_2113,Z_2114] : ( multiply(inverse(X_2113),multiply(X_2113,Z_2114)) = Z_2114 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_366016]) ).
tff(c_366031,plain,
! [X_2,Z_1968] : ( multiply(inverse(X_2),multiply(X_2,Z_1968)) = Z_1968 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_366016]) ).
tff(c_379811,plain,
! [X_2118,Z_2119] : ( multiply(inverse(inverse(X_2118)),Z_2119) = multiply(X_2118,Z_2119) ),
inference(superposition,[status(thm),theory(equality)],[c_379431,c_366031]) ).
tff(c_379497,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_379431]) ).
tff(c_379818,plain,
! [X_2118] : ( multiply(X_2118,identity) = X_2118 ),
inference(superposition,[status(thm),theory(equality)],[c_379811,c_379497]) ).
tff(c_373736,plain,
! [X_2053,Z_2054] : ( multiply(inverse(X_2053),multiply(X_2053,Z_2054)) = Z_2054 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_366016]) ).
tff(c_374066,plain,
! [X_2056,Z_2057] : ( multiply(inverse(inverse(X_2056)),Z_2057) = multiply(X_2056,Z_2057) ),
inference(superposition,[status(thm),theory(equality)],[c_366031,c_373736]) ).
tff(c_374113,plain,
! [X_2056] : ( multiply(X_2056,inverse(X_2056)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_374066]) ).
tff(c_373769,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_373645,c_373736]) ).
tff(c_373834,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_373769]) ).
tff(c_373823,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_373736]) ).
tff(c_374076,plain,
! [X_2056] : ( multiply(X_2056,identity) = X_2056 ),
inference(superposition,[status(thm),theory(equality)],[c_374066,c_373823]) ).
tff(c_366264,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_366259,c_366205]) ).
tff(c_366282,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_366264,c_365841]) ).
tff(c_366295,plain,
multiply(sk_c11,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_366282,c_4]) ).
tff(c_366272,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_366264,c_366264,c_366259]) ).
tff(c_366321,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_366295,c_366272]) ).
tff(c_366326,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_366321,c_366321,c_366282]) ).
tff(c_366425,plain,
! [X_1979,Z_1980] : ( multiply(inverse(X_1979),multiply(X_1979,Z_1980)) = Z_1980 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_366016]) ).
tff(c_366656,plain,
! [X_1982,Z_1983] : ( multiply(inverse(inverse(X_1982)),Z_1983) = multiply(X_1982,Z_1983) ),
inference(superposition,[status(thm),theory(equality)],[c_366031,c_366425]) ).
tff(c_366491,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_366425]) ).
tff(c_366663,plain,
! [X_1982] : ( multiply(X_1982,identity) = X_1982 ),
inference(superposition,[status(thm),theory(equality)],[c_366656,c_366491]) ).
tff(c_366327,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_366321,c_366264]) ).
tff(c_365845,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_365841,c_4]) ).
tff(c_366004,plain,
! [Z_1968] : ( multiply(sk_c11,multiply(sk_c12,Z_1968)) = multiply(identity,Z_1968) ),
inference(superposition,[status(thm),theory(equality)],[c_365845,c_365968]) ).
tff(c_366085,plain,
! [Z_1972] : ( multiply(sk_c11,multiply(sk_c12,Z_1972)) = Z_1972 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_366004]) ).
tff(c_366103,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_173,c_366085]) ).
tff(c_366100,plain,
multiply(sk_c11,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_365833,c_366085]) ).
tff(c_366115,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_366103,c_366100]) ).
tff(c_366124,plain,
multiply(sk_c4,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_366115,c_365909]) ).
tff(c_366076,plain,
! [X7_10,X3_8,X10_15,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365841,c_152]) ).
tff(c_366077,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_366076]) ).
tff(c_366153,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_366124,c_366077]) ).
tff(c_366165,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_169,c_366153]) ).
tff(c_366166,plain,
! [X7_10,X3_8,X10_15,X4_14,X1_11] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_366076]) ).
tff(c_366263,plain,
! [X4_14,X3_8] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_366166]) ).
tff(c_366337,plain,
! [X4_14,X3_8] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),identity) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_366327,c_366327,c_366321,c_366263]) ).
tff(c_366365,plain,
! [X4_14] :
( ( inverse(multiply(X4_14,identity)) != inverse(identity) )
| ( multiply(X4_14,inverse(identity)) != inverse(X4_14) )
| ( multiply(inverse(identity),identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_366326,c_366337]) ).
tff(c_366372,plain,
! [X4_14] :
( ( inverse(multiply(X4_14,identity)) != identity )
| ( multiply(X4_14,identity) != inverse(X4_14) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_366326,c_2,c_4,c_366326,c_366326,c_366365]) ).
tff(c_373609,plain,
! [X4_2052] :
( ( inverse(X4_2052) != identity )
| ( inverse(X4_2052) != X4_2052 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_366663,c_366663,c_366372]) ).
tff(c_373623,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_366326,c_373609]) ).
tff(c_373635,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_366326,c_373623]) ).
tff(c_373636,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_366166]) ).
tff(c_373679,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c11 )
| ( inverse(X1_11) != sk_c11 )
| ( inverse(X10_15) != sk_c11 )
| ( multiply(sk_c11,multiply(X10_15,sk_c11)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c11) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_373637,c_373637,c_373637,c_373637,c_373637,c_373637,c_373636]) ).
tff(c_373680,plain,
! [X7_10] :
( ( multiply(inverse(X7_10),sk_c11) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_373679]) ).
tff(c_379427,plain,
! [X7_10] : ( inverse(X7_10) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_374113,c_373834,c_374076,c_373834,c_373834,c_373680]) ).
tff(c_18,plain,
( ( multiply(sk_c10,sk_c11) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_365926,plain,
multiply(sk_c10,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_365829,c_18]) ).
tff(c_373651,plain,
multiply(sk_c10,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_373637,c_365926]) ).
tff(c_373653,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_373637,c_365904]) ).
tff(c_373754,plain,
multiply(inverse(sk_c7),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_373653,c_373736]) ).
tff(c_373830,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_373651,c_365879,c_373754]) ).
tff(c_373857,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_373834,c_373830]) ).
tff(c_373658,plain,
inverse(sk_c6) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_373637,c_365828]) ).
tff(c_373684,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_373658,c_4]) ).
tff(c_373866,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_373834,c_373684]) ).
tff(c_373849,plain,
inverse(sk_c6) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_373830,c_373658]) ).
tff(c_373919,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_373857,c_373866,c_373849]) ).
tff(c_379429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_379427,c_373919]) ).
tff(c_379430,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != sk_c11 )
| ( multiply(sk_c11,multiply(X10_15,sk_c11)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c11 )
| ( inverse(X1_11) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_373679]) ).
tff(c_423699,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != identity )
| ( identity != X10_15 )
| ( identity != X1_11 )
| ( inverse(X1_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_379554,c_379818,c_379554,c_379554,c_379818,c_379554,c_379554,c_2,c_379554,c_379554,c_379430]) ).
tff(c_423701,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_423699]) ).
tff(c_379560,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_379554,c_379554,c_373655]) ).
tff(c_423703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_423701,c_379560]) ).
tff(c_423705,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_423699]) ).
tff(c_423707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_423705,c_379560]) ).
tff(c_423709,plain,
inverse(sk_c2) != sk_c3,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_62,plain,
( ( inverse(sk_c12) = sk_c11 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_423777,plain,
inverse(sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_423709,c_62]) ).
tff(c_423781,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_423777,c_4]) ).
tff(c_68,plain,
( ( multiply(sk_c7,sk_c10) = sk_c12 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_423828,plain,
multiply(sk_c7,sk_c10) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_423709,c_68]) ).
tff(c_70,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_423752,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_423709,c_70]) ).
tff(c_423756,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_423752,c_4]) ).
tff(c_423895,plain,
! [Z_2323] : ( multiply(sk_c10,multiply(sk_c7,Z_2323)) = multiply(identity,Z_2323) ),
inference(superposition,[status(thm),theory(equality)],[c_423756,c_423862]) ).
tff(c_431408,plain,
! [Z_2418] : ( multiply(sk_c10,multiply(sk_c7,Z_2418)) = Z_2418 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_423895]) ).
tff(c_431426,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_423828,c_431408]) ).
tff(c_423877,plain,
! [Z_2323] : ( multiply(sk_c7,multiply(sk_c10,Z_2323)) = multiply(sk_c12,Z_2323) ),
inference(superposition,[status(thm),theory(equality)],[c_423828,c_423862]) ).
tff(c_431433,plain,
multiply(sk_c7,sk_c10) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_431426,c_423877]) ).
tff(c_431439,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_423828,c_431433]) ).
tff(c_423889,plain,
! [Z_2323] : ( multiply(sk_c11,multiply(sk_c12,Z_2323)) = multiply(identity,Z_2323) ),
inference(superposition,[status(thm),theory(equality)],[c_423781,c_423862]) ).
tff(c_423918,plain,
! [Z_2323] : ( multiply(sk_c11,multiply(sk_c12,Z_2323)) = Z_2323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_423889]) ).
tff(c_431469,plain,
multiply(sk_c11,sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_431439,c_423918]) ).
tff(c_431475,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_423781,c_431469]) ).
tff(c_431486,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_431475,c_423777]) ).
tff(c_431500,plain,
multiply(sk_c11,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_431486,c_4]) ).
tff(c_423717,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_423721,plain,
multiply(sk_c12,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_423717,c_4]) ).
tff(c_423927,plain,
! [Z_2324] : ( multiply(sk_c11,multiply(sk_c12,Z_2324)) = Z_2324 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_423889]) ).
tff(c_423942,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_423721,c_423927]) ).
tff(c_433506,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_431500,c_423942]) ).
tff(c_431488,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_431475,c_423717]) ).
tff(c_433515,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_433506,c_431488]) ).
tff(c_433530,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_433515,c_431486]) ).
tff(c_431579,plain,
! [X_2421,Z_2422] : ( multiply(inverse(X_2421),multiply(X_2421,Z_2422)) = Z_2422 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_423910]) ).
tff(c_431832,plain,
! [X_2424,Z_2425] : ( multiply(inverse(inverse(X_2424)),Z_2425) = multiply(X_2424,Z_2425) ),
inference(superposition,[status(thm),theory(equality)],[c_431579,c_423925]) ).
tff(c_431853,plain,
! [X_2424] : ( multiply(X_2424,inverse(X_2424)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_431832,c_4]) ).
tff(c_431482,plain,
! [Z_2323] : ( multiply(sk_c11,multiply(identity,Z_2323)) = Z_2323 ),
inference(demodulation,[status(thm),theory(equality)],[c_431475,c_423918]) ).
tff(c_431492,plain,
! [Z_2323] : ( multiply(sk_c11,Z_2323) = Z_2323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_431482]) ).
tff(c_431533,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_431492,c_423942]) ).
tff(c_431547,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_431533,c_431488]) ).
tff(c_431563,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_431547,c_431486]) ).
tff(c_431633,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_431579]) ).
tff(c_431839,plain,
! [X_2424] : ( multiply(X_2424,identity) = X_2424 ),
inference(superposition,[status(thm),theory(equality)],[c_431832,c_431633]) ).
tff(c_424104,plain,
! [Z_2327] : ( multiply(sk_c10,multiply(sk_c7,Z_2327)) = Z_2327 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_423895]) ).
tff(c_424122,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_423828,c_424104]) ).
tff(c_424129,plain,
multiply(sk_c7,sk_c10) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_424122,c_423877]) ).
tff(c_424135,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_423828,c_424129]) ).
tff(c_424140,plain,
multiply(sk_c11,sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_424135,c_423918]) ).
tff(c_424146,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_423781,c_424140]) ).
tff(c_424182,plain,
multiply(sk_c11,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_424146,c_423781]) ).
tff(c_424217,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_424182,c_423942]) ).
tff(c_424185,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_424146,c_423717]) ).
tff(c_424255,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_424217,c_424185]) ).
tff(c_424183,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_424146,c_423777]) ).
tff(c_424271,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_424255,c_424183]) ).
tff(c_424305,plain,
! [X_2331,Z_2332] : ( multiply(inverse(X_2331),multiply(X_2331,Z_2332)) = Z_2332 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_423910]) ).
tff(c_424499,plain,
! [X_2334,Z_2335] : ( multiply(inverse(inverse(X_2334)),Z_2335) = multiply(X_2334,Z_2335) ),
inference(superposition,[status(thm),theory(equality)],[c_424305,c_423925]) ).
tff(c_424359,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_424305]) ).
tff(c_424506,plain,
! [X_2334] : ( multiply(X_2334,identity) = X_2334 ),
inference(superposition,[status(thm),theory(equality)],[c_424499,c_424359]) ).
tff(c_423945,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_173,c_423927]) ).
tff(c_64,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_423764,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_423709,c_64]) ).
tff(c_423768,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_423764,c_4]) ).
tff(c_423939,plain,
multiply(sk_c11,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_423768,c_423927]) ).
tff(c_423960,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_423945,c_423939]) ).
tff(c_66,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_423807,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_423709,c_66]) ).
tff(c_423969,plain,
multiply(sk_c4,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_423960,c_423807]) ).
tff(c_423950,plain,
! [X7_10,X3_8,X10_15,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_423777,c_152]) ).
tff(c_423994,plain,
! [X6_2325] :
( ( multiply(X6_2325,sk_c11) != sk_c12 )
| ( inverse(X6_2325) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_423950]) ).
tff(c_423997,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_423969,c_423994]) ).
tff(c_424016,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_169,c_423997]) ).
tff(c_424017,plain,
! [X7_10,X3_8,X10_15,X4_14,X1_11] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_423950]) ).
tff(c_424103,plain,
! [X4_14,X3_8] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_424017]) ).
tff(c_424226,plain,
! [X4_14,X3_8] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_424146,c_424146,c_424103]) ).
tff(c_424274,plain,
! [X4_14] :
( ( inverse(multiply(X4_14,identity)) != inverse(identity) )
| ( multiply(X4_14,inverse(identity)) != inverse(X4_14) )
| ( multiply(inverse(identity),sk_c11) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_424255,c_424226]) ).
tff(c_424281,plain,
! [X4_14] :
( ( inverse(multiply(X4_14,identity)) != identity )
| ( multiply(X4_14,identity) != inverse(X4_14) )
| ( sk_c11 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_424255,c_2,c_2,c_424255,c_424255,c_424255,c_424274]) ).
tff(c_431391,plain,
! [X4_2417] :
( ( inverse(X4_2417) != identity )
| ( inverse(X4_2417) != X4_2417 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_424271,c_424506,c_424506,c_424281]) ).
tff(c_431399,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_424255,c_431391]) ).
tff(c_431406,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_424255,c_431399]) ).
tff(c_431407,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_424017]) ).
tff(c_431519,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != identity )
| ( inverse(X1_11) != identity )
| ( inverse(X10_15) != identity )
| ( multiply(X10_15,identity) != sk_c11 )
| ( multiply(inverse(X7_10),identity) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_431475,c_431475,c_2,c_431475,c_431475,c_431475,c_431475,c_431407]) ).
tff(c_431520,plain,
! [X7_10] :
( ( multiply(inverse(X7_10),identity) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_431519]) ).
tff(c_433502,plain,
! [X7_10] : ( inverse(X7_10) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_431853,c_431563,c_431839,c_431563,c_431520]) ).
tff(c_433504,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_433502,c_431547]) ).
tff(c_433505,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != identity )
| ( multiply(X10_15,identity) != sk_c11 )
| ( multiply(X1_11,sk_c11) != identity )
| ( inverse(X1_11) != identity ) ),
inference(splitRight,[status(thm)],[c_431519]) ).
tff(c_458284,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != identity )
| ( identity != X10_15 )
| ( identity != X1_11 )
| ( inverse(X1_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_433801,c_433530,c_433801,c_433530,c_433505]) ).
tff(c_458286,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_458284]) ).
tff(c_458288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458286,c_433515]) ).
tff(c_458290,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_458284]) ).
tff(c_458292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458290,c_433515]) ).
tff(c_458294,plain,
inverse(sk_c1) != sk_c12,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_458404,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_458294,c_12]) ).
tff(c_458293,plain,
inverse(sk_c6) = sk_c12,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_458298,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_458293,c_4]) ).
tff(c_458473,plain,
! [Z_2633] : ( multiply(sk_c12,multiply(sk_c6,Z_2633)) = multiply(identity,Z_2633) ),
inference(superposition,[status(thm),theory(equality)],[c_458298,c_458437]) ).
tff(c_458521,plain,
! [Z_2635] : ( multiply(sk_c12,multiply(sk_c6,Z_2635)) = Z_2635 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_458473]) ).
tff(c_458533,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_458404,c_458521]) ).
tff(c_458374,plain,
multiply(sk_c7,sk_c10) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_458294,c_14]) ).
tff(c_458339,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_458294,c_16]) ).
tff(c_458343,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_458339,c_4]) ).
tff(c_458464,plain,
! [Z_2633] : ( multiply(sk_c10,multiply(sk_c7,Z_2633)) = multiply(identity,Z_2633) ),
inference(superposition,[status(thm),theory(equality)],[c_458343,c_458437]) ).
tff(c_458498,plain,
! [Z_2634] : ( multiply(sk_c10,multiply(sk_c7,Z_2634)) = Z_2634 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_458464]) ).
tff(c_458510,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_458374,c_458498]) ).
tff(c_458719,plain,
! [Z_2640] : ( multiply(sk_c7,multiply(sk_c10,Z_2640)) = multiply(sk_c12,Z_2640) ),
inference(superposition,[status(thm),theory(equality)],[c_458374,c_458437]) ).
tff(c_458734,plain,
multiply(sk_c7,sk_c10) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_458510,c_458719]) ).
tff(c_458750,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_458533,c_458374,c_458734]) ).
tff(c_458310,plain,
inverse(sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_458294,c_8]) ).
tff(c_458314,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_458310,c_4]) ).
tff(c_458759,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_458750,c_458314]) ).
tff(c_458470,plain,
! [Z_2633] : ( multiply(sk_c11,multiply(sk_c12,Z_2633)) = multiply(identity,Z_2633) ),
inference(superposition,[status(thm),theory(equality)],[c_458314,c_458437]) ).
tff(c_458686,plain,
! [Z_2639] : ( multiply(sk_c11,multiply(sk_c12,Z_2639)) = Z_2639 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_458470]) ).
tff(c_458698,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_458533,c_458686]) ).
tff(c_482174,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_458750,c_458698]) ).
tff(c_482182,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_458759,c_482174]) ).
tff(c_482258,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_482213]) ).
tff(c_482462,plain,
! [X_2822] : ( multiply(X_2822,identity) = X_2822 ),
inference(superposition,[status(thm),theory(equality)],[c_482455,c_482258]) ).
tff(c_458753,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_458750,c_458750,c_458533]) ).
tff(c_458824,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_458759,c_458753]) ).
tff(c_458760,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_458750,c_458310]) ).
tff(c_458838,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_458824,c_458824,c_458760]) ).
tff(c_458855,plain,
! [X_2641,Z_2642] : ( multiply(inverse(X_2641),multiply(X_2641,Z_2642)) = Z_2642 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_458482]) ).
tff(c_459173,plain,
! [X_2645,Z_2646] : ( multiply(inverse(inverse(X_2645)),Z_2646) = multiply(X_2645,Z_2646) ),
inference(superposition,[status(thm),theory(equality)],[c_458855,c_458496]) ).
tff(c_458900,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_458855]) ).
tff(c_459180,plain,
! [X_2645] : ( multiply(X_2645,identity) = X_2645 ),
inference(superposition,[status(thm),theory(equality)],[c_459173,c_458900]) ).
tff(c_459211,plain,
! [X_2645] : ( multiply(X_2645,inverse(X_2645)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_459173]) ).
tff(c_459446,plain,
! [X_2652,Y_2653,Z_2654] : ( multiply(inverse(multiply(X_2652,Y_2653)),multiply(X_2652,multiply(Y_2653,Z_2654))) = Z_2654 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_458855]) ).
tff(c_459525,plain,
! [X_2652,X_2] : ( multiply(inverse(multiply(X_2652,inverse(X_2))),multiply(X_2652,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_459446]) ).
tff(c_459558,plain,
! [X_2652,X_2] : ( multiply(inverse(multiply(X_2652,inverse(X_2))),X_2652) = X_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_459180,c_459525]) ).
tff(c_459216,plain,
! [X_2647] : ( multiply(X_2647,identity) = X_2647 ),
inference(superposition,[status(thm),theory(equality)],[c_459173,c_458900]) ).
tff(c_458858,plain,
! [X_2641,Z_2642] : ( multiply(inverse(inverse(X_2641)),Z_2642) = multiply(X_2641,Z_2642) ),
inference(superposition,[status(thm),theory(equality)],[c_458855,c_458496]) ).
tff(c_459223,plain,
! [X_2641] : ( inverse(inverse(X_2641)) = multiply(X_2641,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_459216,c_458858]) ).
tff(c_459268,plain,
! [X_2641] : ( inverse(inverse(X_2641)) = X_2641 ),
inference(demodulation,[status(thm),theory(equality)],[c_459180,c_459223]) ).
tff(c_459564,plain,
! [X_2655,X_2656] : ( multiply(inverse(multiply(X_2655,inverse(X_2656))),X_2655) = X_2656 ),
inference(demodulation,[status(thm),theory(equality)],[c_459180,c_459525]) ).
tff(c_459187,plain,
! [X_2645,Z_2633] : ( multiply(X_2645,multiply(inverse(X_2645),Z_2633)) = Z_2633 ),
inference(superposition,[status(thm),theory(equality)],[c_459173,c_458496]) ).
tff(c_459638,plain,
! [X_2657,X_2658] : ( multiply(multiply(X_2657,inverse(X_2658)),X_2658) = X_2657 ),
inference(superposition,[status(thm),theory(equality)],[c_459564,c_459187]) ).
tff(c_459729,plain,
! [X_2659,X_2660] : ( multiply(multiply(X_2659,X_2660),inverse(X_2660)) = X_2659 ),
inference(superposition,[status(thm),theory(equality)],[c_459268,c_459638]) ).
tff(c_459768,plain,
! [X_2652,X_2] : ( inverse(multiply(X_2652,inverse(X_2))) = multiply(X_2,inverse(X_2652)) ),
inference(superposition,[status(thm),theory(equality)],[c_459558,c_459729]) ).
tff(c_458547,plain,
! [Z_2636] : ( multiply(sk_c11,multiply(sk_c12,Z_2636)) = Z_2636 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_458470]) ).
tff(c_458568,plain,
multiply(sk_c11,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_173,c_458547]) ).
tff(c_458565,plain,
multiply(sk_c11,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_458298,c_458547]) ).
tff(c_458603,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_458568,c_458565]) ).
tff(c_458616,plain,
multiply(sk_c4,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_458603,c_458404]) ).
tff(c_458538,plain,
! [X7_10,X3_8,X10_15,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_458310,c_152]) ).
tff(c_458651,plain,
! [X6_2638] :
( ( multiply(X6_2638,sk_c11) != sk_c12 )
| ( inverse(X6_2638) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_458538]) ).
tff(c_458657,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_458616,c_458651]) ).
tff(c_458677,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_169,c_458657]) ).
tff(c_458678,plain,
! [X7_10,X3_8,X10_15,X4_14,X1_11] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_458538]) ).
tff(c_458791,plain,
! [X7_10,X3_8,X10_15,X4_14,X1_11] :
( ( multiply(inverse(X7_10),sk_c11) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X10_15) != sk_c11 )
| ( multiply(sk_c11,multiply(X10_15,sk_c11)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c11 )
| ( inverse(X1_11) != sk_c11 )
| ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c11 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_458750,c_458750,c_458750,c_458750,c_458750,c_458750,c_458750,c_458750,c_458678]) ).
tff(c_458792,plain,
! [X4_14,X3_8] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c11 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_458791]) ).
tff(c_482035,plain,
! [X3_2815,X4_2816] :
( ( multiply(X3_2815,inverse(X4_2816)) != inverse(X3_2815) )
| ( multiply(X4_2816,inverse(X3_2815)) != inverse(X4_2816) )
| ( inverse(X3_2815) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_459211,c_458824,c_459180,c_458824,c_458824,c_459768,c_458792]) ).
tff(c_482101,plain,
! [X4_2816] :
( ( inverse(identity) != inverse(X4_2816) )
| ( multiply(X4_2816,inverse(identity)) != inverse(X4_2816) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_482035]) ).
tff(c_482128,plain,
! [X4_2817] :
( ( inverse(X4_2817) != identity )
| ( inverse(X4_2817) != X4_2817 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_458838,c_459180,c_458838,c_458838,c_482101]) ).
tff(c_482140,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_458838,c_482128]) ).
tff(c_482149,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_458838,c_482140]) ).
tff(c_482150,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c11 )
| ( inverse(X1_11) != sk_c11 )
| ( inverse(X10_15) != sk_c11 )
| ( multiply(sk_c11,multiply(X10_15,sk_c11)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c11) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_458791]) ).
tff(c_507516,plain,
! [X1_11,X10_15,X7_10] :
( ( identity != X1_11 )
| ( inverse(X1_11) != identity )
| ( inverse(X10_15) != identity )
| ( identity != X10_15 )
| ( inverse(X7_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_482476,c_482182,c_482462,c_482182,c_482182,c_482462,c_482182,c_482182,c_2,c_482182,c_482182,c_482182,c_482462,c_482182,c_482182,c_482150]) ).
tff(c_507517,plain,
! [X7_10] : ( inverse(X7_10) != identity ),
inference(splitLeft,[status(thm)],[c_507516]) ).
tff(c_482196,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_482182,c_482182,c_458760]) ).
tff(c_507519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_507517,c_482196]) ).
tff(c_507520,plain,
! [X1_11,X10_15] :
( ( identity != X1_11 )
| ( inverse(X1_11) != identity )
| ( inverse(X10_15) != identity )
| ( identity != X10_15 ) ),
inference(splitRight,[status(thm)],[c_507516]) ).
tff(c_507522,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_507520]) ).
tff(c_507524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_507522,c_482196]) ).
tff(c_508161,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_507520]) ).
tff(c_508163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_508161,c_482196]) ).
tff(c_508165,plain,
inverse(sk_c4) != sk_c12,
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_138,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( inverse(sk_c4) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_633824,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_508165,c_138]) ).
tff(c_508164,plain,
inverse(sk_c8) = sk_c10,
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_150,plain,
( ( multiply(sk_c9,sk_c10) = sk_c8 )
| ( inverse(sk_c4) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_508264,plain,
multiply(sk_c9,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_508165,c_150]) ).
tff(c_146,plain,
( ( inverse(sk_c9) = sk_c8 )
| ( inverse(sk_c4) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_508197,plain,
inverse(sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_508165,c_146]) ).
tff(c_508201,plain,
multiply(sk_c8,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_508197,c_4]) ).
tff(c_508330,plain,
! [X_3000,Y_3001,Z_3002] : ( multiply(multiply(X_3000,Y_3001),Z_3002) = multiply(X_3000,multiply(Y_3001,Z_3002)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_508369,plain,
! [Z_3002] : ( multiply(sk_c8,multiply(sk_c9,Z_3002)) = multiply(identity,Z_3002) ),
inference(superposition,[status(thm),theory(equality)],[c_508201,c_508330]) ).
tff(c_579832,plain,
! [Z_3294] : ( multiply(sk_c8,multiply(sk_c9,Z_3294)) = Z_3294 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_508369]) ).
tff(c_579844,plain,
multiply(sk_c8,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_508264,c_579832]) ).
tff(c_508378,plain,
! [X_2,Z_3002] : ( multiply(inverse(X_2),multiply(X_2,Z_3002)) = multiply(identity,Z_3002) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_508330]) ).
tff(c_585817,plain,
! [X_3359,Z_3360] : ( multiply(inverse(X_3359),multiply(X_3359,Z_3360)) = Z_3360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_508378]) ).
tff(c_585838,plain,
multiply(inverse(sk_c8),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_579844,c_585817]) ).
tff(c_585894,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_508164,c_585838]) ).
tff(c_140,plain,
( ( multiply(sk_c7,sk_c10) = sk_c12 )
| ( inverse(sk_c4) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_508302,plain,
multiply(sk_c7,sk_c10) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_508165,c_140]) ).
tff(c_508177,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_508181,plain,
multiply(sk_c12,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_508177,c_4]) ).
tff(c_134,plain,
( ( inverse(sk_c12) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_508228,plain,
inverse(sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_508165,c_134]) ).
tff(c_508232,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_508228,c_4]) ).
tff(c_508360,plain,
! [Z_3002] : ( multiply(sk_c11,multiply(sk_c12,Z_3002)) = multiply(identity,Z_3002) ),
inference(superposition,[status(thm),theory(equality)],[c_508232,c_508330]) ).
tff(c_508548,plain,
! [Z_3007] : ( multiply(sk_c11,multiply(sk_c12,Z_3007)) = Z_3007 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_508360]) ).
tff(c_508563,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_508181,c_508548]) ).
tff(c_136,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( inverse(sk_c4) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_508213,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_508165,c_136]) ).
tff(c_508217,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_508213,c_4]) ).
tff(c_508560,plain,
multiply(sk_c11,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_508217,c_508548]) ).
tff(c_508597,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_508563,c_508560]) ).
tff(c_508284,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_508165,c_138]) ).
tff(c_508610,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_508597,c_508284]) ).
tff(c_508363,plain,
! [Z_3002] : ( multiply(sk_c12,multiply(sk_c6,Z_3002)) = multiply(identity,Z_3002) ),
inference(superposition,[status(thm),theory(equality)],[c_508217,c_508330]) ).
tff(c_508388,plain,
! [Z_3002] : ( multiply(sk_c12,multiply(sk_c6,Z_3002)) = Z_3002 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_508363]) ).
tff(c_508627,plain,
! [Z_3009] : ( multiply(sk_c12,multiply(sk_c1,Z_3009)) = Z_3009 ),
inference(demodulation,[status(thm),theory(equality)],[c_508597,c_508388]) ).
tff(c_508642,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_508610,c_508627]) ).
tff(c_142,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c4) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_508245,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_508165,c_142]) ).
tff(c_508249,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_508245,c_4]) ).
tff(c_508357,plain,
! [Z_3002] : ( multiply(sk_c10,multiply(sk_c7,Z_3002)) = multiply(identity,Z_3002) ),
inference(superposition,[status(thm),theory(equality)],[c_508249,c_508330]) ).
tff(c_508395,plain,
! [Z_3003] : ( multiply(sk_c10,multiply(sk_c7,Z_3003)) = Z_3003 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_508357]) ).
tff(c_508407,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_508302,c_508395]) ).
tff(c_579848,plain,
! [Z_3295] : ( multiply(sk_c7,multiply(sk_c10,Z_3295)) = multiply(sk_c12,Z_3295) ),
inference(superposition,[status(thm),theory(equality)],[c_508302,c_508330]) ).
tff(c_579863,plain,
multiply(sk_c7,sk_c10) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_508407,c_579848]) ).
tff(c_579879,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_508302,c_508642,c_579863]) ).
tff(c_144,plain,
( ( multiply(sk_c10,sk_c11) = sk_c12 )
| ( inverse(sk_c4) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_508289,plain,
multiply(sk_c10,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_508165,c_144]) ).
tff(c_579888,plain,
multiply(sk_c10,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_579879,c_508289]) ).
tff(c_579887,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_579879,c_508302]) ).
tff(c_508393,plain,
! [X_2,Z_3002] : ( multiply(inverse(X_2),multiply(X_2,Z_3002)) = Z_3002 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_508378]) ).
tff(c_585947,plain,
multiply(inverse(sk_c7),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_579887,c_508393]) ).
tff(c_585956,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_579888,c_508245,c_585947]) ).
tff(c_579890,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_579879,c_508228]) ).
tff(c_579901,plain,
multiply(sk_c11,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_579890,c_4]) ).
tff(c_586058,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_585894,c_585956,c_585956,c_579901]) ).
tff(c_586062,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_586058,c_586058,c_579844]) ).
tff(c_586070,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_586062]) ).
tff(c_586086,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_586070,c_585956]) ).
tff(c_586257,plain,
! [X_3364,Z_3365] : ( multiply(inverse(inverse(X_3364)),Z_3365) = multiply(X_3364,Z_3365) ),
inference(superposition,[status(thm),theory(equality)],[c_508393,c_585817]) ).
tff(c_585886,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_585817]) ).
tff(c_586267,plain,
! [X_3364] : ( multiply(X_3364,identity) = X_3364 ),
inference(superposition,[status(thm),theory(equality)],[c_586257,c_585886]) ).
tff(c_579978,plain,
! [X_3296,Z_3297] : ( multiply(inverse(X_3296),multiply(X_3296,Z_3297)) = Z_3297 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_508378]) ).
tff(c_580296,plain,
! [X_3301,Z_3302] : ( multiply(inverse(inverse(X_3301)),Z_3302) = multiply(X_3301,Z_3302) ),
inference(superposition,[status(thm),theory(equality)],[c_579978,c_508393]) ).
tff(c_580343,plain,
! [X_3301] : ( multiply(X_3301,inverse(X_3301)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_580296]) ).
tff(c_579882,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_579879,c_579879,c_508642]) ).
tff(c_579942,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_579901,c_579882]) ).
tff(c_580035,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_579978]) ).
tff(c_580306,plain,
! [X_3301] : ( multiply(X_3301,identity) = X_3301 ),
inference(superposition,[status(thm),theory(equality)],[c_580296,c_580035]) ).
tff(c_508169,plain,
multiply(sk_c10,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_508164,c_4]) ).
tff(c_508687,plain,
! [Z_3011] : ( multiply(sk_c7,multiply(sk_c10,Z_3011)) = multiply(sk_c12,Z_3011) ),
inference(superposition,[status(thm),theory(equality)],[c_508302,c_508330]) ).
tff(c_508702,plain,
multiply(sk_c7,sk_c10) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_508407,c_508687]) ).
tff(c_508718,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_508642,c_508302,c_508702]) ).
tff(c_508725,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_508718,c_508407]) ).
tff(c_508727,plain,
multiply(sk_c10,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_508718,c_508289]) ).
tff(c_508825,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_508725,c_508727]) ).
tff(c_508729,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_508718,c_508228]) ).
tff(c_508834,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_508825,c_508825,c_508729]) ).
tff(c_508664,plain,
! [Z_3010] : ( multiply(sk_c8,multiply(sk_c9,Z_3010)) = Z_3010 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_508369]) ).
tff(c_508676,plain,
multiply(sk_c8,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_508264,c_508664]) ).
tff(c_508852,plain,
! [X_3014,Z_3015] : ( multiply(inverse(X_3014),multiply(X_3014,Z_3015)) = Z_3015 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_508378]) ).
tff(c_508873,plain,
multiply(inverse(sk_c8),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_508676,c_508852]) ).
tff(c_508919,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_508164,c_508873]) ).
tff(c_508950,plain,
multiply(inverse(sk_c10),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_508919,c_508393]) ).
tff(c_508956,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_508169,c_508834,c_508950]) ).
tff(c_508897,plain,
multiply(inverse(sk_c8),identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_508201,c_508852]) ).
tff(c_508923,plain,
multiply(sk_c10,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_508164,c_508897]) ).
tff(c_508972,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_508956,c_508923]) ).
tff(c_508986,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_508972]) ).
tff(c_508931,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_508834,c_4]) ).
tff(c_508958,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_508931,c_508919]) ).
tff(c_508993,plain,
inverse(sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_508958,c_508197]) ).
tff(c_509022,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_508986,c_508993]) ).
tff(c_509185,plain,
! [X_3018,Z_3019] : ( multiply(inverse(inverse(X_3018)),Z_3019) = multiply(X_3018,Z_3019) ),
inference(superposition,[status(thm),theory(equality)],[c_508852,c_508393]) ).
tff(c_508912,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_508852]) ).
tff(c_509192,plain,
! [X_3018] : ( multiply(X_3018,identity) = X_3018 ),
inference(superposition,[status(thm),theory(equality)],[c_509185,c_508912]) ).
tff(c_509206,plain,
! [X_3018] : ( multiply(X_3018,inverse(X_3018)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_509185,c_4]) ).
tff(c_509447,plain,
! [X_3023,Y_3024,Z_3025] : ( multiply(inverse(multiply(X_3023,Y_3024)),multiply(X_3023,multiply(Y_3024,Z_3025))) = Z_3025 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_508852]) ).
tff(c_509483,plain,
! [X_3023,X_3018] : ( multiply(inverse(multiply(X_3023,X_3018)),multiply(X_3023,identity)) = inverse(X_3018) ),
inference(superposition,[status(thm),theory(equality)],[c_509206,c_509447]) ).
tff(c_509557,plain,
! [X_3023,X_3018] : ( multiply(inverse(multiply(X_3023,X_3018)),X_3023) = inverse(X_3018) ),
inference(demodulation,[status(thm),theory(equality)],[c_509192,c_509483]) ).
tff(c_509231,plain,
! [X_3020] : ( multiply(X_3020,identity) = X_3020 ),
inference(superposition,[status(thm),theory(equality)],[c_509185,c_508912]) ).
tff(c_509276,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_508912,c_509231]) ).
tff(c_509535,plain,
! [X_3023,X_2] : ( multiply(inverse(multiply(X_3023,inverse(X_2))),multiply(X_3023,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_509447]) ).
tff(c_510159,plain,
! [X_3033,X_3034] : ( multiply(inverse(multiply(X_3033,inverse(X_3034))),X_3033) = X_3034 ),
inference(demodulation,[status(thm),theory(equality)],[c_509192,c_509535]) ).
tff(c_509219,plain,
! [X_3018,Z_3002] : ( multiply(X_3018,multiply(inverse(X_3018),Z_3002)) = Z_3002 ),
inference(superposition,[status(thm),theory(equality)],[c_508393,c_509185]) ).
tff(c_510272,plain,
! [X_3035,X_3036] : ( multiply(multiply(X_3035,inverse(X_3036)),X_3036) = X_3035 ),
inference(superposition,[status(thm),theory(equality)],[c_510159,c_509219]) ).
tff(c_510353,plain,
! [X_3035,X_2] : ( multiply(multiply(X_3035,X_2),inverse(X_2)) = X_3035 ),
inference(superposition,[status(thm),theory(equality)],[c_509276,c_510272]) ).
tff(c_512661,plain,
! [X_3057,X_3058,Z_3059] : ( multiply(inverse(multiply(X_3057,inverse(X_3058))),multiply(X_3057,Z_3059)) = multiply(X_3058,Z_3059) ),
inference(superposition,[status(thm),theory(equality)],[c_508393,c_509447]) ).
tff(c_512778,plain,
! [X_3035,X_2,X_3058] : ( multiply(inverse(multiply(multiply(X_3035,X_2),inverse(X_3058))),X_3035) = multiply(X_3058,inverse(X_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_510353,c_512661]) ).
tff(c_512912,plain,
! [X_2,X_3058] : ( inverse(multiply(X_2,inverse(X_3058))) = multiply(X_3058,inverse(X_2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_509557,c_6,c_512778]) ).
tff(c_508421,plain,
! [Z_3004] : ( multiply(sk_c11,multiply(sk_c12,Z_3004)) = Z_3004 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_508360]) ).
tff(c_508436,plain,
multiply(sk_c11,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_508181,c_508421]) ).
tff(c_508433,plain,
multiply(sk_c11,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_508217,c_508421]) ).
tff(c_508477,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_508436,c_508433]) ).
tff(c_508486,plain,
multiply(sk_c1,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_508477,c_508284]) ).
tff(c_508412,plain,
! [X7_10,X3_8,X10_15,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_508228,c_152]) ).
tff(c_508517,plain,
! [X6_3006] :
( ( multiply(X6_3006,sk_c11) != sk_c12 )
| ( inverse(X6_3006) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_508412]) ).
tff(c_508520,plain,
inverse(sk_c1) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_508486,c_508517]) ).
tff(c_508539,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_508177,c_508520]) ).
tff(c_508540,plain,
! [X7_10,X3_8,X10_15,X4_14,X1_11] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_508412]) ).
tff(c_508656,plain,
! [X4_14,X3_8] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_508540]) ).
tff(c_508761,plain,
! [X4_14,X3_8] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c11 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_508718,c_508718,c_508656]) ).
tff(c_508830,plain,
! [X4_14,X3_8] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c10) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_508825,c_508825,c_508825,c_508761]) ).
tff(c_579606,plain,
! [X3_3291,X4_3292] :
( ( multiply(X3_3291,inverse(X4_3292)) != inverse(X3_3291) )
| ( multiply(X4_3292,inverse(X3_3291)) != inverse(X4_3292) )
| ( inverse(X3_3291) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_509206,c_508956,c_509192,c_508956,c_508956,c_512912,c_508830]) ).
tff(c_579735,plain,
! [X4_3292] :
( ( inverse(identity) != inverse(X4_3292) )
| ( multiply(X4_3292,inverse(identity)) != inverse(X4_3292) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_579606]) ).
tff(c_579788,plain,
! [X4_3293] :
( ( inverse(X4_3293) != identity )
| ( inverse(X4_3293) != X4_3293 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_509022,c_509192,c_509022,c_509022,c_579735]) ).
tff(c_579808,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_509022,c_579788]) ).
tff(c_579823,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_509022,c_579808]) ).
tff(c_579824,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_508540]) ).
tff(c_579919,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c11 )
| ( inverse(X1_11) != sk_c11 )
| ( inverse(X10_15) != sk_c11 )
| ( multiply(sk_c11,multiply(X10_15,sk_c11)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c11) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_579879,c_579879,c_579879,c_579879,c_579879,c_579879,c_579824]) ).
tff(c_579920,plain,
! [X7_10] :
( ( multiply(inverse(X7_10),sk_c11) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_579919]) ).
tff(c_585806,plain,
! [X7_10] : ( inverse(X7_10) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_580343,c_579942,c_580306,c_579942,c_579942,c_579920]) ).
tff(c_579958,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_579942,c_508563]) ).
tff(c_579960,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_579958]) ).
tff(c_579892,plain,
inverse(sk_c1) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_579879,c_508177]) ).
tff(c_579955,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_579942,c_579892]) ).
tff(c_580048,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_579960,c_579955]) ).
tff(c_585808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_585806,c_580048]) ).
tff(c_585809,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != sk_c11 )
| ( multiply(sk_c11,multiply(X10_15,sk_c11)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c11 )
| ( inverse(X1_11) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_579919]) ).
tff(c_633705,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != identity )
| ( identity != X10_15 )
| ( identity != X1_11 )
| ( inverse(X1_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_586086,c_586267,c_586086,c_586086,c_586267,c_586086,c_586086,c_2,c_586086,c_586086,c_585809]) ).
tff(c_633707,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_633705]) ).
tff(c_585871,plain,
multiply(inverse(sk_c8),identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_508201,c_585817]) ).
tff(c_585899,plain,
multiply(sk_c10,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_508164,c_585871]) ).
tff(c_585985,plain,
! [Z_3361] : ( multiply(sk_c9,multiply(sk_c10,Z_3361)) = multiply(sk_c8,Z_3361) ),
inference(superposition,[status(thm),theory(equality)],[c_508264,c_508330]) ).
tff(c_586015,plain,
multiply(sk_c9,identity) = multiply(sk_c8,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_508169,c_585985]) ).
tff(c_586020,plain,
multiply(sk_c9,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_579844,c_586015]) ).
tff(c_586034,plain,
multiply(inverse(sk_c9),sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_586020,c_508393]) ).
tff(c_586043,plain,
multiply(sk_c8,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_508197,c_586034]) ).
tff(c_586049,plain,
multiply(inverse(sk_c8),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_586043,c_508393]) ).
tff(c_586055,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_585899,c_508164,c_586049]) ).
tff(c_586081,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_586070,c_586055]) ).
tff(c_586066,plain,
inverse(sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_586058,c_508197]) ).
tff(c_586107,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_586081,c_586066]) ).
tff(c_633709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_633707,c_586107]) ).
tff(c_633711,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_633705]) ).
tff(c_633713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_633711,c_586107]) ).
tff(c_633714,plain,
inverse(sk_c6) = sk_c12,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_633719,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_633714,c_4]) ).
tff(c_633869,plain,
! [X_3579,Y_3580,Z_3581] : ( multiply(multiply(X_3579,Y_3580),Z_3581) = multiply(X_3579,multiply(Y_3580,Z_3581)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_633908,plain,
! [Z_3581] : ( multiply(sk_c12,multiply(sk_c6,Z_3581)) = multiply(identity,Z_3581) ),
inference(superposition,[status(thm),theory(equality)],[c_633719,c_633869]) ).
tff(c_634509,plain,
! [Z_3591] : ( multiply(sk_c12,multiply(sk_c6,Z_3591)) = Z_3591 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633908]) ).
tff(c_634521,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_633824,c_634509]) ).
tff(c_633745,plain,
inverse(sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_508165,c_134]) ).
tff(c_633749,plain,
multiply(sk_c11,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_633745,c_4]) ).
tff(c_635074,plain,
! [Z_3605] : ( multiply(sk_c6,multiply(sk_c11,Z_3605)) = multiply(sk_c12,Z_3605) ),
inference(superposition,[status(thm),theory(equality)],[c_633824,c_633869]) ).
tff(c_635098,plain,
multiply(sk_c6,identity) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_633749,c_635074]) ).
tff(c_635102,plain,
multiply(sk_c6,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_634521,c_635098]) ).
tff(c_633926,plain,
! [Z_3581] : ( multiply(sk_c12,multiply(sk_c6,Z_3581)) = Z_3581 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633908]) ).
tff(c_635106,plain,
multiply(sk_c12,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_635102,c_633926]) ).
tff(c_633902,plain,
! [Z_3581] : ( multiply(sk_c11,multiply(sk_c12,Z_3581)) = multiply(identity,Z_3581) ),
inference(superposition,[status(thm),theory(equality)],[c_633749,c_633869]) ).
tff(c_633924,plain,
! [Z_3581] : ( multiply(sk_c11,multiply(sk_c12,Z_3581)) = Z_3581 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633902]) ).
tff(c_635117,plain,
multiply(sk_c11,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_635106,c_633924]) ).
tff(c_633791,plain,
multiply(sk_c7,sk_c10) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_508165,c_140]) ).
tff(c_633715,plain,
inverse(sk_c1) != sk_c12,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_633764,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_633715,c_16]) ).
tff(c_633768,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_633764,c_4]) ).
tff(c_633899,plain,
! [Z_3581] : ( multiply(sk_c10,multiply(sk_c7,Z_3581)) = multiply(identity,Z_3581) ),
inference(superposition,[status(thm),theory(equality)],[c_633768,c_633869]) ).
tff(c_633930,plain,
! [Z_3582] : ( multiply(sk_c10,multiply(sk_c7,Z_3582)) = Z_3582 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633899]) ).
tff(c_633942,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_633791,c_633930]) ).
tff(c_635548,plain,
! [Z_3616] : ( multiply(sk_c7,multiply(sk_c10,Z_3616)) = multiply(sk_c12,Z_3616) ),
inference(superposition,[status(thm),theory(equality)],[c_633791,c_633869]) ).
tff(c_635572,plain,
multiply(sk_c7,sk_c10) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_633942,c_635548]) ).
tff(c_635589,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_633791,c_634521,c_635572]) ).
tff(c_635602,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_635589,c_633745]) ).
tff(c_635037,plain,
! [Z_3604] : ( multiply(sk_c11,multiply(sk_c12,Z_3604)) = Z_3604 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633902]) ).
tff(c_635055,plain,
multiply(sk_c11,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_633719,c_635037]) ).
tff(c_635125,plain,
sk_c6 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_635117,c_635055]) ).
tff(c_635143,plain,
inverse(sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_635125,c_633714]) ).
tff(c_635049,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_634521,c_635037]) ).
tff(c_633796,plain,
multiply(sk_c10,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_633715,c_18]) ).
tff(c_635207,plain,
! [Z_3608] : ( multiply(sk_c10,multiply(sk_c11,Z_3608)) = multiply(sk_c12,Z_3608) ),
inference(superposition,[status(thm),theory(equality)],[c_633796,c_633869]) ).
tff(c_635222,plain,
multiply(sk_c12,sk_c11) = multiply(sk_c10,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_635049,c_635207]) ).
tff(c_635233,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_635106,c_633942,c_635222]) ).
tff(c_24,plain,
( ( multiply(sk_c9,sk_c10) = sk_c8 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_633801,plain,
multiply(sk_c9,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_633715,c_24]) ).
tff(c_20,plain,
( ( inverse(sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_633723,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_633724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_633715,c_633723]) ).
tff(c_633725,plain,
inverse(sk_c9) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_633730,plain,
multiply(sk_c8,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_633725,c_4]) ).
tff(c_633905,plain,
! [Z_3581] : ( multiply(sk_c8,multiply(sk_c9,Z_3581)) = multiply(identity,Z_3581) ),
inference(superposition,[status(thm),theory(equality)],[c_633730,c_633869]) ).
tff(c_633953,plain,
! [Z_3583] : ( multiply(sk_c8,multiply(sk_c9,Z_3583)) = Z_3583 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633905]) ).
tff(c_633965,plain,
multiply(sk_c8,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_633801,c_633953]) ).
tff(c_633911,plain,
! [Z_3581] : ( multiply(sk_c10,multiply(sk_c8,Z_3581)) = multiply(identity,Z_3581) ),
inference(superposition,[status(thm),theory(equality)],[c_508169,c_633869]) ).
tff(c_634472,plain,
! [Z_3590] : ( multiply(sk_c10,multiply(sk_c8,Z_3590)) = Z_3590 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633911]) ).
tff(c_634484,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_633965,c_634472]) ).
tff(c_635246,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_635233,c_635233,c_634484]) ).
tff(c_635258,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_635246]) ).
tff(c_635251,plain,
multiply(identity,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_635233,c_633796]) ).
tff(c_635259,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_635251]) ).
tff(c_634490,plain,
multiply(sk_c10,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_633730,c_634472]) ).
tff(c_635228,plain,
multiply(sk_c12,sk_c12) = multiply(sk_c10,identity),
inference(superposition,[status(thm),theory(equality)],[c_633749,c_635207]) ).
tff(c_635234,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_634490,c_634521,c_635228]) ).
tff(c_635239,plain,
inverse(sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_635234,c_633725]) ).
tff(c_635240,plain,
sk_c8 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_635143,c_635239]) ).
tff(c_635268,plain,
sk_c8 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_635259,c_635240]) ).
tff(c_635296,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_635258,c_635268]) ).
tff(c_634570,plain,
! [Z_3593] : ( multiply(sk_c6,multiply(sk_c11,Z_3593)) = multiply(sk_c12,Z_3593) ),
inference(superposition,[status(thm),theory(equality)],[c_633824,c_633869]) ).
tff(c_634594,plain,
multiply(sk_c6,identity) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_633749,c_634570]) ).
tff(c_634598,plain,
multiply(sk_c6,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_634521,c_634594]) ).
tff(c_634602,plain,
multiply(sk_c12,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_634598,c_633926]) ).
tff(c_634533,plain,
! [Z_3592] : ( multiply(sk_c11,multiply(sk_c12,Z_3592)) = Z_3592 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633902]) ).
tff(c_634545,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_634521,c_634533]) ).
tff(c_634740,plain,
! [Z_3598] : ( multiply(sk_c10,multiply(sk_c11,Z_3598)) = multiply(sk_c12,Z_3598) ),
inference(superposition,[status(thm),theory(equality)],[c_633796,c_633869]) ).
tff(c_634755,plain,
multiply(sk_c12,sk_c11) = multiply(sk_c10,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_634545,c_634740]) ).
tff(c_634766,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_634602,c_633942,c_634755]) ).
tff(c_634779,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_634766,c_634766,c_634484]) ).
tff(c_634791,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_634779]) ).
tff(c_634789,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_634766,c_508164]) ).
tff(c_634921,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_634791,c_634789]) ).
tff(c_634016,plain,
! [Z_3585] : ( multiply(sk_c9,multiply(sk_c10,Z_3585)) = multiply(sk_c8,Z_3585) ),
inference(superposition,[status(thm),theory(equality)],[c_633801,c_633869]) ).
tff(c_634040,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c8,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_633942,c_634016]) ).
tff(c_634056,plain,
multiply(sk_c8,sk_c12) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_633801,c_634040]) ).
tff(c_633927,plain,
! [Z_3581] : ( multiply(sk_c10,multiply(sk_c8,Z_3581)) = Z_3581 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633911]) ).
tff(c_634072,plain,
multiply(sk_c10,sk_c8) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_634056,c_633927]) ).
tff(c_634078,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_508169,c_634072]) ).
tff(c_634087,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_634078,c_633719]) ).
tff(c_633914,plain,
! [X_2,Z_3581] : ( multiply(inverse(X_2),multiply(X_2,Z_3581)) = multiply(identity,Z_3581) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_633869]) ).
tff(c_633928,plain,
! [X_2,Z_3581] : ( multiply(inverse(X_2),multiply(X_2,Z_3581)) = Z_3581 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633914]) ).
tff(c_634328,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_634087,c_633928]) ).
tff(c_634340,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_634328]) ).
tff(c_634089,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_634078,c_633714]) ).
tff(c_634344,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_634340,c_634089]) ).
tff(c_634086,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_634078,c_633745]) ).
tff(c_634352,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_634344,c_634086]) ).
tff(c_633977,plain,
! [X7_10,X3_8,X10_15,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_633745,c_152]) ).
tff(c_633978,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X6_7) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_633977]) ).
tff(c_634103,plain,
! [X6_3586] :
( ( multiply(X6_3586,sk_c11) != identity )
| ( inverse(X6_3586) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_634078,c_634078,c_633978]) ).
tff(c_634116,plain,
inverse(inverse(sk_c11)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_634103]) ).
tff(c_634470,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_634344,c_634344,c_634352,c_634116]) ).
tff(c_634471,plain,
! [X7_10,X3_8,X10_15,X4_14,X1_11] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(multiply(X4_14,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X4_14,inverse(X3_8)) != inverse(X4_14) )
| ( multiply(inverse(X3_8),sk_c11) != sk_c12 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_633977]) ).
tff(c_634655,plain,
! [X4_3594,X3_3595] :
( ( inverse(multiply(X4_3594,inverse(X3_3595))) != inverse(X3_3595) )
| ( multiply(X4_3594,inverse(X3_3595)) != inverse(X4_3594) )
| ( multiply(inverse(X3_3595),sk_c11) != sk_c12 )
| ( multiply(X3_3595,inverse(X3_3595)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_634471]) ).
tff(c_634664,plain,
! [X4_3594] :
( ( inverse(multiply(X4_3594,sk_c10)) != inverse(sk_c7) )
| ( multiply(X4_3594,inverse(sk_c7)) != inverse(X4_3594) )
| ( multiply(inverse(sk_c7),sk_c11) != sk_c12 )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_633764,c_634655]) ).
tff(c_634681,plain,
! [X4_3594] :
( ( inverse(multiply(X4_3594,sk_c10)) != sk_c10 )
| ( multiply(X4_3594,sk_c10) != inverse(X4_3594) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_633791,c_633764,c_633796,c_633764,c_633764,c_633764,c_634664]) ).
tff(c_635015,plain,
! [X4_3603] :
( ( inverse(multiply(X4_3603,identity)) != identity )
| ( multiply(X4_3603,identity) != inverse(X4_3603) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_634766,c_634766,c_634766,c_634681]) ).
tff(c_635026,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_635015]) ).
tff(c_635035,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_634921,c_634921,c_4,c_634921,c_635026]) ).
tff(c_635036,plain,
! [X1_11,X10_15,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_634471]) ).
tff(c_635159,plain,
! [X7_10] :
( ( multiply(inverse(X7_10),sk_c12) != sk_c11 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_635036]) ).
tff(c_635289,plain,
! [X7_3609] :
( ( multiply(inverse(X7_3609),sk_c11) != sk_c11 )
| ( multiply(X7_3609,inverse(X7_3609)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_635259,c_635159]) ).
tff(c_635294,plain,
( ( sk_c11 != identity )
| ( multiply(sk_c11,inverse(sk_c11)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_635289]) ).
tff(c_635316,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_635296,c_635296,c_2,c_635296,c_635296,c_635294]) ).
tff(c_635256,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_635233,c_508164]) ).
tff(c_635329,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_635258,c_635256]) ).
tff(c_635330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_635316,c_635329]) ).
tff(c_635331,plain,
! [X10_15,X1_11] :
( ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_635036]) ).
tff(c_635480,plain,
! [X1_3613] :
( ( multiply(X1_3613,sk_c11) != sk_c12 )
| ( inverse(X1_3613) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_635331]) ).
tff(c_635489,plain,
inverse(sk_c11) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_635049,c_635480]) ).
tff(c_635510,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_635143,c_635489]) ).
tff(c_635511,plain,
! [X10_15] :
( ( inverse(X10_15) != sk_c12 )
| ( multiply(sk_c12,multiply(X10_15,sk_c12)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_635331]) ).
tff(c_635619,plain,
! [X10_3617] :
( ( inverse(X10_3617) != sk_c11 )
| ( multiply(sk_c11,multiply(X10_3617,sk_c11)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_635589,c_635589,c_635589,c_635511]) ).
tff(c_635631,plain,
( ( inverse(inverse(sk_c11)) != sk_c11 )
| ( multiply(sk_c11,identity) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_635619]) ).
tff(c_635639,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_635117,c_635602,c_635602,c_635631]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP220-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 21:37:00 EDT 2025
% 0.13/0.34 % CPUTime :
% 71.45/54.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 72.09/54.90
% 72.09/54.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------