TSTP Solution File: GRP208-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP208-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:28 EDT 2023
% Result : Unsatisfiable 37.78s 24.40s
% Output : CNFRefutation 38.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 64
% Syntax : Number of formulae : 908 ( 731 unt; 15 typ; 0 def)
% Number of atoms : 1258 (1208 equ)
% Maximal formula atoms : 16 ( 1 avg)
% Number of connectives : 780 ( 415 ~; 365 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 510 (; 510 !; 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_164,axiom,
( ( multiply(sk_c12,sk_c4) = sk_c11 )
| ( inverse(sk_c7) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c4 )
| ( inverse(sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_233,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( inverse(sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c12 )
| ( inverse(sk_c7) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c12 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_290,axiom,
! [X5,X6,X3,X9,X7,X1,X2,X8,X4,X10] :
( ( multiply(X5,X6) != sk_c12 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c11) != sk_c12 )
| ( multiply(sk_c12,X7) != sk_c11 )
| ( multiply(X8,sk_c12) != X7 )
| ( inverse(X8) != sk_c12 )
| ( multiply(X2,X1) != sk_c12 )
| ( inverse(X2) != X1 )
| ( multiply(X1,sk_c11) != sk_c12 )
| ( inverse(X3) != sk_c12 )
| ( multiply(X3,sk_c11) != sk_c12 )
| ( multiply(X9,X4) != sk_c11 )
| ( inverse(X9) != X4 )
| ( multiply(X4,sk_c12) != sk_c11 )
| ( inverse(X10) != sk_c11 )
| ( multiply(X10,sk_c12) != sk_c11 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c12 )
| ( inverse(sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c12 )
| ( multiply(sk_c8,sk_c9) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c12 )
| ( inverse(sk_c7) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c12 )
| ( multiply(sk_c9,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c12 )
| ( inverse(sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c12 )
| ( multiply(sk_c8,sk_c9) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c4 )
| ( multiply(sk_c8,sk_c9) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c4 )
| ( inverse(sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c12 )
| ( multiply(sk_c5,sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c12 )
| ( multiply(sk_c10,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c12,sk_c4) = sk_c11 )
| ( multiply(sk_c5,sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c12,sk_c4) = sk_c11 )
| ( multiply(sk_c7,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( multiply(sk_c12,sk_c4) = sk_c11 )
| ( multiply(sk_c9,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c12,sk_c4) = sk_c11 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( multiply(sk_c12,sk_c4) = sk_c11 )
| ( inverse(sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c4 )
| ( multiply(sk_c7,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_212,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c4 )
| ( multiply(sk_c10,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c4 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c12 )
| ( multiply(sk_c7,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c12 )
| ( multiply(sk_c5,sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( multiply(sk_c12,sk_c4) = sk_c11 )
| ( inverse(sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( multiply(sk_c12,sk_c4) = sk_c11 )
| ( multiply(sk_c10,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c12 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c5,sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c7,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c7) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c10,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c9,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c8,sk_c9) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_230,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( multiply(sk_c8,sk_c9) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( multiply(sk_c7,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( inverse(sk_c7) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_215,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( multiply(sk_c5,sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_218,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_236,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( multiply(sk_c9,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_182287,plain,
! [X_1350,Y_1351,Z_1352] : ( multiply(multiply(X_1350,Y_1351),Z_1352) = multiply(X_1350,multiply(Y_1351,Z_1352)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_182335,plain,
! [X_2,Z_1352] : ( multiply(inverse(X_2),multiply(X_2,Z_1352)) = multiply(identity,Z_1352) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_182287]) ).
tff(c_183735,plain,
! [X_1379,Z_1380] : ( multiply(inverse(X_1379),multiply(X_1379,Z_1380)) = Z_1380 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_182335]) ).
tff(c_182348,plain,
! [X_2,Z_1352] : ( multiply(inverse(X_2),multiply(X_2,Z_1352)) = Z_1352 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_182335]) ).
tff(c_184117,plain,
! [X_1383,Z_1384] : ( multiply(inverse(inverse(X_1383)),Z_1384) = multiply(X_1383,Z_1384) ),
inference(superposition,[status(thm),theory(equality)],[c_183735,c_182348]) ).
tff(c_183801,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_183735]) ).
tff(c_184127,plain,
! [X_1383] : ( multiply(X_1383,identity) = X_1383 ),
inference(superposition,[status(thm),theory(equality)],[c_184117,c_183801]) ).
tff(c_155192,plain,
! [X_1125,Y_1126,Z_1127] : ( multiply(multiply(X_1125,Y_1126),Z_1127) = multiply(X_1125,multiply(Y_1126,Z_1127)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_155240,plain,
! [X_2,Z_1127] : ( multiply(inverse(X_2),multiply(X_2,Z_1127)) = multiply(identity,Z_1127) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_155192]) ).
tff(c_155253,plain,
! [X_2,Z_1127] : ( multiply(inverse(X_2),multiply(X_2,Z_1127)) = Z_1127 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_155240]) ).
tff(c_157377,plain,
! [X_1172,Z_1173] : ( multiply(inverse(X_1172),multiply(X_1172,Z_1173)) = Z_1173 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_155240]) ).
tff(c_157730,plain,
! [X_1176,Z_1177] : ( multiply(inverse(inverse(X_1176)),Z_1177) = multiply(X_1176,Z_1177) ),
inference(superposition,[status(thm),theory(equality)],[c_155253,c_157377]) ).
tff(c_157751,plain,
! [X_1176] : ( multiply(X_1176,inverse(X_1176)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_157730,c_4]) ).
tff(c_39570,plain,
! [X_284,Y_285,Z_286] : ( multiply(multiply(X_284,Y_285),Z_286) = multiply(X_284,multiply(Y_285,Z_286)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_39630,plain,
! [X_2,Z_286] : ( multiply(inverse(X_2),multiply(X_2,Z_286)) = multiply(identity,Z_286) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39570]) ).
tff(c_41668,plain,
! [X_314,Z_315] : ( multiply(inverse(X_314),multiply(X_314,Z_315)) = Z_315 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39630]) ).
tff(c_39644,plain,
! [X_2,Z_286] : ( multiply(inverse(X_2),multiply(X_2,Z_286)) = Z_286 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39630]) ).
tff(c_42203,plain,
! [X_319,Z_320] : ( multiply(inverse(inverse(X_319)),Z_320) = multiply(X_319,Z_320) ),
inference(superposition,[status(thm),theory(equality)],[c_41668,c_39644]) ).
tff(c_41752,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41668]) ).
tff(c_42213,plain,
! [X_319] : ( multiply(X_319,identity) = X_319 ),
inference(superposition,[status(thm),theory(equality)],[c_42203,c_41752]) ).
tff(c_74,plain,
( ( inverse(sk_c7) = sk_c12 )
| ( multiply(sk_c12,sk_c4) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_175,plain,
multiply(sk_c12,sk_c4) = sk_c11,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_104,plain,
( ( inverse(sk_c10) = sk_c11 )
| ( multiply(sk_c3,sk_c12) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_180,plain,
multiply(sk_c3,sk_c12) = sk_c4,
inference(splitLeft,[status(thm)],[c_104]) ).
tff(c_120,plain,
( ( inverse(sk_c8) = sk_c9 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_145,plain,
inverse(sk_c3) = sk_c12,
inference(splitLeft,[status(thm)],[c_120]) ).
tff(c_149,plain,
multiply(sk_c12,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_145,c_4]) ).
tff(c_39627,plain,
! [Z_286] : ( multiply(sk_c12,multiply(sk_c3,Z_286)) = multiply(identity,Z_286) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_39570]) ).
tff(c_40230,plain,
! [Z_294] : ( multiply(sk_c12,multiply(sk_c3,Z_294)) = Z_294 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39627]) ).
tff(c_40242,plain,
multiply(sk_c12,sk_c4) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_180,c_40230]) ).
tff(c_40246,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_175,c_40242]) ).
tff(c_243,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_273,plain,
! [Z_20] : ( multiply(sk_c12,multiply(sk_c3,Z_20)) = multiply(identity,Z_20) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_243]) ).
tff(c_311,plain,
! [Z_22] : ( multiply(sk_c12,multiply(sk_c3,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_273]) ).
tff(c_323,plain,
multiply(sk_c12,sk_c4) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_180,c_311]) ).
tff(c_327,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_175,c_323]) ).
tff(c_54,plain,
( ( inverse(sk_c7) = sk_c12 )
| ( multiply(sk_c2,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_188,plain,
multiply(sk_c2,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_331,plain,
multiply(sk_c2,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_327,c_188]) ).
tff(c_10,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_197,plain,
multiply(sk_c1,sk_c2) = sk_c12,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_330,plain,
multiply(sk_c1,sk_c2) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_327,c_197]) ).
tff(c_44,plain,
( ( inverse(sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_157,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_161,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_157,c_4]) ).
tff(c_270,plain,
! [Z_20] : ( multiply(sk_c2,multiply(sk_c1,Z_20)) = multiply(identity,Z_20) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_243]) ).
tff(c_284,plain,
! [Z_20] : ( multiply(sk_c2,multiply(sk_c1,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_270]) ).
tff(c_1938,plain,
multiply(sk_c2,sk_c11) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_330,c_284]) ).
tff(c_1944,plain,
sk_c2 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_331,c_1938]) ).
tff(c_288,plain,
! [Z_21] : ( multiply(sk_c2,multiply(sk_c1,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_270]) ).
tff(c_300,plain,
multiply(sk_c2,sk_c12) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_197,c_288]) ).
tff(c_329,plain,
multiply(sk_c2,sk_c11) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_327,c_300]) ).
tff(c_2013,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_1944,c_1944,c_329]) ).
tff(c_276,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_243]) ).
tff(c_286,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_276]) ).
tff(c_2017,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_2013,c_286]) ).
tff(c_2023,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2017]) ).
tff(c_1962,plain,
! [X_53,Z_54] : ( multiply(inverse(X_53),multiply(X_53,Z_54)) = Z_54 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_276]) ).
tff(c_2182,plain,
! [X_57,Z_58] : ( multiply(inverse(inverse(X_57)),Z_58) = multiply(X_57,Z_58) ),
inference(superposition,[status(thm),theory(equality)],[c_1962,c_286]) ).
tff(c_1998,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1962]) ).
tff(c_2193,plain,
! [X_57] : ( multiply(X_57,identity) = X_57 ),
inference(superposition,[status(thm),theory(equality)],[c_2182,c_1998]) ).
tff(c_2227,plain,
! [X_57] : ( multiply(X_57,inverse(X_57)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2182]) ).
tff(c_406,plain,
! [X_23,Z_24] : ( multiply(inverse(X_23),multiply(X_23,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_276]) ).
tff(c_626,plain,
! [X_27,Z_28] : ( multiply(inverse(inverse(X_27)),Z_28) = multiply(X_27,Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_406,c_286]) ).
tff(c_671,plain,
! [X_27] : ( multiply(X_27,inverse(X_27)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_626]) ).
tff(c_382,plain,
multiply(sk_c2,sk_c11) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_330,c_284]) ).
tff(c_388,plain,
sk_c2 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_331,c_382]) ).
tff(c_457,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_388,c_329]) ).
tff(c_461,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_457,c_286]) ).
tff(c_467,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_461]) ).
tff(c_442,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_406]) ).
tff(c_637,plain,
! [X_27] : ( multiply(X_27,identity) = X_27 ),
inference(superposition,[status(thm),theory(equality)],[c_626,c_442]) ).
tff(c_128,plain,
! [X5_6,X2_12,X8_13,X3_8,X9_9,X10_15] :
( ( multiply(X10_15,sk_c12) != sk_c11 )
| ( inverse(X10_15) != sk_c11 )
| ( multiply(inverse(X9_9),sk_c12) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c12 )
| ( inverse(X3_8) != sk_c12 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c12 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c12 )
| ( inverse(X8_13) != sk_c12 )
| ( multiply(sk_c12,multiply(X8_13,sk_c12)) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c11) != sk_c12 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_290]) ).
tff(c_340,plain,
! [X5_6,X2_12,X8_13,X3_8,X9_9,X10_15] :
( ( multiply(X10_15,sk_c11) != sk_c11 )
| ( inverse(X10_15) != sk_c11 )
| ( multiply(inverse(X9_9),sk_c11) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c11 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
| ( inverse(X8_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X8_13,sk_c11)) != sk_c11 )
| ( multiply(inverse(X5_6),sk_c11) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_327,c_327,c_327,c_327,c_327,c_327,c_327,c_327,c_327,c_327,c_327,c_128]) ).
tff(c_341,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c11) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_340]) ).
tff(c_1894,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_671,c_467,c_637,c_467,c_467,c_341]) ).
tff(c_394,plain,
inverse(sk_c1) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_157]) ).
tff(c_402,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_394,c_4]) ).
tff(c_480,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_467,c_402]) ).
tff(c_470,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_467,c_394]) ).
tff(c_503,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_480,c_470]) ).
tff(c_1896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1894,c_503]) ).
tff(c_1897,plain,
! [X2_12,X8_13,X3_8,X9_9,X10_15] :
( ( inverse(X8_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X8_13,sk_c11)) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c11 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X9_9),sk_c11) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X10_15,sk_c11) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_340]) ).
tff(c_9324,plain,
! [X2_12,X8_13,X3_8,X9_9,X10_15] :
( ( inverse(X8_13) != identity )
| ( identity != X8_13 )
| ( inverse(X2_12) != identity )
| ( identity != X3_8 )
| ( inverse(X3_8) != identity )
| ( inverse(X9_9) != identity )
| ( identity != X10_15 )
| ( inverse(X10_15) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2023,c_2193,c_2023,c_2023,c_2227,c_2023,c_2193,c_2023,c_2023,c_2023,c_2193,c_2023,c_2023,c_2227,c_2023,c_2193,c_2023,c_2023,c_2193,c_2023,c_2023,c_2,c_2023,c_2023,c_1897]) ).
tff(c_9326,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9324]) ).
tff(c_1950,plain,
inverse(sk_c1) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_1944,c_157]) ).
tff(c_1958,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1950,c_4]) ).
tff(c_2036,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2023,c_1958]) ).
tff(c_2026,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2023,c_1950]) ).
tff(c_2059,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2036,c_2026]) ).
tff(c_9328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9326,c_2059]) ).
tff(c_9329,plain,
! [X9_9,X8_13,X2_12,X3_8] :
( ( inverse(X9_9) != identity )
| ( inverse(X8_13) != identity )
| ( identity != X8_13 )
| ( inverse(X2_12) != identity )
| ( identity != X3_8 )
| ( inverse(X3_8) != identity ) ),
inference(splitRight,[status(thm)],[c_9324]) ).
tff(c_38800,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9329]) ).
tff(c_38802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38800,c_2059]) ).
tff(c_38803,plain,
! [X2_12,X9_9,X8_13] :
( ( inverse(X2_12) != identity )
| ( inverse(X9_9) != identity )
| ( inverse(X8_13) != identity )
| ( identity != X8_13 ) ),
inference(splitRight,[status(thm)],[c_9329]) ).
tff(c_38806,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_38803]) ).
tff(c_38808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38806,c_2059]) ).
tff(c_38809,plain,
! [X9_9,X2_12] :
( ( inverse(X9_9) != identity )
| ( inverse(X2_12) != identity ) ),
inference(splitRight,[status(thm)],[c_38803]) ).
tff(c_38810,plain,
! [X2_12] : ( inverse(X2_12) != identity ),
inference(splitLeft,[status(thm)],[c_38809]) ).
tff(c_38812,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38810,c_2059]) ).
tff(c_38813,plain,
! [X9_9] : ( inverse(X9_9) != identity ),
inference(splitRight,[status(thm)],[c_38809]) ).
tff(c_38815,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38813,c_2059]) ).
tff(c_38817,plain,
multiply(sk_c1,sk_c2) != sk_c12,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_20,plain,
( ( inverse(sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_38866,plain,
inverse(sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_38817,c_20]) ).
tff(c_18,plain,
( ( multiply(sk_c8,sk_c9) = sk_c11 )
| ( multiply(sk_c1,sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_38894,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_38817,c_18]) ).
tff(c_38927,plain,
! [X_276,Y_277,Z_278] : ( multiply(multiply(X_276,Y_277),Z_278) = multiply(X_276,multiply(Y_277,Z_278)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_38987,plain,
! [X_2,Z_278] : ( multiply(inverse(X_2),multiply(X_2,Z_278)) = multiply(identity,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38927]) ).
tff(c_39112,plain,
! [X_281,Z_282] : ( multiply(inverse(X_281),multiply(X_281,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38987]) ).
tff(c_39160,plain,
multiply(inverse(sk_c8),sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_38894,c_39112]) ).
tff(c_39196,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_38866,c_39160]) ).
tff(c_39001,plain,
! [X_2,Z_278] : ( multiply(inverse(X_2),multiply(X_2,Z_278)) = Z_278 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38987]) ).
tff(c_39207,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_39196,c_39001]) ).
tff(c_39213,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39207]) ).
tff(c_38984,plain,
! [Z_278] : ( multiply(sk_c12,multiply(sk_c3,Z_278)) = multiply(identity,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_38927]) ).
tff(c_39016,plain,
! [Z_280] : ( multiply(sk_c12,multiply(sk_c3,Z_280)) = Z_280 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38984]) ).
tff(c_39028,plain,
multiply(sk_c12,sk_c4) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_180,c_39016]) ).
tff(c_39032,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_175,c_39028]) ).
tff(c_14,plain,
( ( inverse(sk_c7) = sk_c12 )
| ( multiply(sk_c1,sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_38854,plain,
inverse(sk_c7) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_38817,c_14]) ).
tff(c_39040,plain,
inverse(sk_c7) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_39032,c_38854]) ).
tff(c_39063,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39040,c_4]) ).
tff(c_39230,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39213,c_39063]) ).
tff(c_39220,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39213,c_39040]) ).
tff(c_39249,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39230,c_39220]) ).
tff(c_39222,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39213,c_39032]) ).
tff(c_38972,plain,
! [Z_278] : ( multiply(sk_c2,multiply(sk_c11,Z_278)) = multiply(sk_c12,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_188,c_38927]) ).
tff(c_39285,plain,
! [Z_283] : ( multiply(sk_c2,Z_283) = Z_283 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39222,c_2,c_39213,c_38972]) ).
tff(c_39300,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_39285,c_161]) ).
tff(c_39315,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_39300,c_157]) ).
tff(c_39318,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39249,c_39315]) ).
tff(c_39041,plain,
multiply(sk_c1,sk_c2) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_39032,c_38817]) ).
tff(c_39449,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39318,c_2,c_39300,c_39213,c_39041]) ).
tff(c_39451,plain,
multiply(sk_c2,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_62,plain,
( ( multiply(sk_c9,sk_c12) = sk_c11 )
| ( multiply(sk_c2,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_39522,plain,
multiply(sk_c9,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_39451,c_62]) ).
tff(c_40281,plain,
multiply(sk_c9,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_40246,c_39522]) ).
tff(c_60,plain,
( ( inverse(sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_39464,plain,
inverse(sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_39451,c_60]) ).
tff(c_58,plain,
( ( multiply(sk_c8,sk_c9) = sk_c11 )
| ( multiply(sk_c2,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_39565,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_39451,c_58]) ).
tff(c_41725,plain,
multiply(inverse(sk_c8),sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_39565,c_41668]) ).
tff(c_41765,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_40281,c_39464,c_41725]) ).
tff(c_41766,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_41765,c_40281]) ).
tff(c_41834,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_41766,c_39644]) ).
tff(c_41840,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41834]) ).
tff(c_42227,plain,
! [X_319] : ( multiply(X_319,inverse(X_319)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_42203,c_4]) ).
tff(c_40383,plain,
! [X_296,Z_297] : ( multiply(inverse(X_296),multiply(X_296,Z_297)) = Z_297 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39630]) ).
tff(c_40440,plain,
multiply(inverse(sk_c8),sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_39565,c_40383]) ).
tff(c_40480,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_40281,c_39464,c_40440]) ).
tff(c_40481,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_40480,c_40281]) ).
tff(c_40549,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_40481,c_39644]) ).
tff(c_40555,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40549]) ).
tff(c_40918,plain,
! [X_301,Z_302] : ( multiply(inverse(inverse(X_301)),Z_302) = multiply(X_301,Z_302) ),
inference(superposition,[status(thm),theory(equality)],[c_39644,c_40383]) ).
tff(c_40467,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40383]) ).
tff(c_40928,plain,
! [X_301] : ( multiply(X_301,identity) = X_301 ),
inference(superposition,[status(thm),theory(equality)],[c_40918,c_40467]) ).
tff(c_39647,plain,
! [Z_287] : ( multiply(sk_c12,multiply(sk_c3,Z_287)) = Z_287 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39627]) ).
tff(c_39659,plain,
multiply(sk_c12,sk_c4) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_180,c_39647]) ).
tff(c_39663,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_175,c_39659]) ).
tff(c_39669,plain,
multiply(sk_c9,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_39663,c_39522]) ).
tff(c_39779,plain,
! [X_289,Z_290] : ( multiply(inverse(X_289),multiply(X_289,Z_290)) = Z_290 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39630]) ).
tff(c_39830,plain,
multiply(inverse(sk_c8),sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_39565,c_39779]) ).
tff(c_39869,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_39669,c_39464,c_39830]) ).
tff(c_39870,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_39869,c_39669]) ).
tff(c_39923,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_39870,c_39644]) ).
tff(c_39929,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39923]) ).
tff(c_39935,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39929,c_39869]) ).
tff(c_39646,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c11) != sk_c12 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_39704,plain,
! [X5_288] :
( ( multiply(inverse(X5_288),sk_c11) != sk_c11 )
| ( multiply(X5_288,inverse(X5_288)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39663,c_39663,c_39646]) ).
tff(c_39714,plain,
( ( multiply(sk_c9,sk_c11) != sk_c11 )
| ( multiply(sk_c8,inverse(sk_c8)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_39464,c_39704]) ).
tff(c_39725,plain,
multiply(sk_c9,sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_39565,c_39464,c_39714]) ).
tff(c_40228,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39935,c_39929,c_39929,c_39725]) ).
tff(c_40229,plain,
! [X2_12,X8_13,X3_8,X9_9,X10_15] :
( ( inverse(X8_13) != sk_c12 )
| ( multiply(sk_c12,multiply(X8_13,sk_c12)) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c12 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c12 )
| ( multiply(X3_8,sk_c11) != sk_c12 )
| ( inverse(X3_8) != sk_c12 )
| ( multiply(inverse(X9_9),sk_c12) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X10_15,sk_c12) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_40322,plain,
! [X2_12,X8_13,X3_8,X9_9,X10_15] :
( ( inverse(X8_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X8_13,sk_c11)) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c11 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X9_9),sk_c11) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X10_15,sk_c11) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40246,c_40246,c_40246,c_40246,c_40246,c_40246,c_40246,c_40246,c_40246,c_40229]) ).
tff(c_40323,plain,
! [X10_15] :
( ( multiply(X10_15,sk_c11) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_40322]) ).
tff(c_41605,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40555,c_40928,c_40555,c_40555,c_40323]) ).
tff(c_40484,plain,
inverse(sk_c8) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_40480,c_39464]) ).
tff(c_40510,plain,
multiply(sk_c11,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40484,c_4]) ).
tff(c_40610,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40555,c_40510]) ).
tff(c_40583,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40555,c_40484]) ).
tff(c_40660,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40610,c_40583]) ).
tff(c_41607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41605,c_40660]) ).
tff(c_41608,plain,
! [X9_9,X3_8,X2_12,X8_13] :
( ( multiply(inverse(X9_9),sk_c11) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c11 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
| ( inverse(X8_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X8_13,sk_c11)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_40322]) ).
tff(c_49847,plain,
! [X9_9,X3_8,X2_12,X8_13] :
( ( inverse(X9_9) != identity )
| ( identity != X3_8 )
| ( inverse(X3_8) != identity )
| ( inverse(X2_12) != identity )
| ( inverse(X8_13) != identity )
| ( identity != X8_13 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42213,c_41840,c_41840,c_2,c_41840,c_41840,c_42227,c_41840,c_42213,c_41840,c_41840,c_41840,c_42213,c_41840,c_41840,c_42227,c_41840,c_42213,c_41840,c_41840,c_41608]) ).
tff(c_49849,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_49847]) ).
tff(c_41769,plain,
inverse(sk_c8) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_41765,c_39464]) ).
tff(c_41795,plain,
multiply(sk_c11,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41769,c_4]) ).
tff(c_41895,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41840,c_41795]) ).
tff(c_41868,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41840,c_41769]) ).
tff(c_41945,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41895,c_41868]) ).
tff(c_49851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49849,c_41945]) ).
tff(c_49852,plain,
! [X2_12,X9_9,X3_8] :
( ( inverse(X2_12) != identity )
| ( inverse(X9_9) != identity )
| ( identity != X3_8 )
| ( inverse(X3_8) != identity ) ),
inference(splitRight,[status(thm)],[c_49847]) ).
tff(c_50298,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_49852]) ).
tff(c_50300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50298,c_41945]) ).
tff(c_50301,plain,
! [X9_9,X2_12] :
( ( inverse(X9_9) != identity )
| ( inverse(X2_12) != identity ) ),
inference(splitRight,[status(thm)],[c_49852]) ).
tff(c_50302,plain,
! [X2_12] : ( inverse(X2_12) != identity ),
inference(splitLeft,[status(thm)],[c_50301]) ).
tff(c_50304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50302,c_41945]) ).
tff(c_50305,plain,
! [X9_9] : ( inverse(X9_9) != identity ),
inference(splitRight,[status(thm)],[c_50301]) ).
tff(c_50307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50305,c_41945]) ).
tff(c_50309,plain,
multiply(sk_c3,sk_c12) != sk_c4,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_98,plain,
( ( multiply(sk_c8,sk_c9) = sk_c11 )
| ( multiply(sk_c3,sk_c12) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_52412,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_50309,c_98]) ).
tff(c_51546,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_50309,c_98]) ).
tff(c_100,plain,
( ( inverse(sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c12) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_51513,plain,
inverse(sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_50309,c_100]) ).
tff(c_51517,plain,
multiply(sk_c9,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_51513,c_4]) ).
tff(c_51588,plain,
! [X_419,Y_420,Z_421] : ( multiply(multiply(X_419,Y_420),Z_421) = multiply(X_419,multiply(Y_420,Z_421)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_51621,plain,
! [Z_421] : ( multiply(sk_c9,multiply(sk_c8,Z_421)) = multiply(identity,Z_421) ),
inference(superposition,[status(thm),theory(equality)],[c_51517,c_51588]) ).
tff(c_51785,plain,
! [Z_428] : ( multiply(sk_c9,multiply(sk_c8,Z_428)) = Z_428 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51621]) ).
tff(c_51797,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_51546,c_51785]) ).
tff(c_51645,plain,
! [X_2,Z_421] : ( multiply(inverse(X_2),multiply(X_2,Z_421)) = multiply(identity,Z_421) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51588]) ).
tff(c_51867,plain,
! [X_432,Z_433] : ( multiply(inverse(X_432),multiply(X_432,Z_433)) = Z_433 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51645]) ).
tff(c_51900,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_51797,c_51867]) ).
tff(c_51988,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51900]) ).
tff(c_50308,plain,
inverse(sk_c10) = sk_c11,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_52164,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51988,c_50308]) ).
tff(c_52193,plain,
multiply(identity,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52164,c_4]) ).
tff(c_51659,plain,
! [X_2,Z_421] : ( multiply(inverse(X_2),multiply(X_2,Z_421)) = Z_421 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51645]) ).
tff(c_52222,plain,
multiply(inverse(identity),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_52193,c_51659]) ).
tff(c_52234,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52222]) ).
tff(c_52238,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52234,c_52164]) ).
tff(c_50340,plain,
multiply(sk_c1,sk_c2) = sk_c12,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_50436,plain,
! [X_396,Y_397,Z_398] : ( multiply(multiply(X_396,Y_397),Z_398) = multiply(X_396,multiply(Y_397,Z_398)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_50490,plain,
! [Z_398] : ( multiply(sk_c2,multiply(sk_c1,Z_398)) = multiply(identity,Z_398) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_50436]) ).
tff(c_50512,plain,
! [Z_399] : ( multiply(sk_c2,multiply(sk_c1,Z_399)) = Z_399 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50490]) ).
tff(c_50524,plain,
multiply(sk_c2,sk_c12) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_50340,c_50512]) ).
tff(c_50496,plain,
! [X_2,Z_398] : ( multiply(inverse(X_2),multiply(X_2,Z_398)) = multiply(identity,Z_398) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_50436]) ).
tff(c_50825,plain,
! [X_412,Z_413] : ( multiply(inverse(X_412),multiply(X_412,Z_413)) = Z_413 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50496]) ).
tff(c_50882,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_50524,c_50825]) ).
tff(c_50963,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50882]) ).
tff(c_50996,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50963,c_149]) ).
tff(c_50510,plain,
! [X_2,Z_398] : ( multiply(inverse(X_2),multiply(X_2,Z_398)) = Z_398 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50496]) ).
tff(c_51256,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_50996,c_50510]) ).
tff(c_51268,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51256]) ).
tff(c_50391,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_50309,c_98]) ).
tff(c_50368,plain,
inverse(sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_50309,c_100]) ).
tff(c_50372,plain,
multiply(sk_c9,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50368,c_4]) ).
tff(c_50469,plain,
! [Z_398] : ( multiply(sk_c9,multiply(sk_c8,Z_398)) = multiply(identity,Z_398) ),
inference(superposition,[status(thm),theory(equality)],[c_50372,c_50436]) ).
tff(c_50694,plain,
! [Z_408] : ( multiply(sk_c9,multiply(sk_c8,Z_408)) = Z_408 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50469]) ).
tff(c_50706,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_50391,c_50694]) ).
tff(c_50858,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_50706,c_50825]) ).
tff(c_50961,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50858]) ).
tff(c_50995,plain,
multiply(identity,sk_c4) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_50963,c_175]) ).
tff(c_51225,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50961,c_50995]) ).
tff(c_51229,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_51225,c_50510]) ).
tff(c_51241,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51229]) ).
tff(c_50994,plain,
multiply(sk_c3,identity) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_50963,c_50309]) ).
tff(c_51485,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51268,c_51241,c_50994]) ).
tff(c_51487,plain,
multiply(sk_c1,sk_c2) != sk_c12,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_8,plain,
( ( multiply(sk_c5,sk_c6) = sk_c12 )
| ( multiply(sk_c1,sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_51540,plain,
multiply(sk_c5,sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_51487,c_8]) ).
tff(c_51486,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_51492,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_51486,c_4]) ).
tff(c_51627,plain,
! [Z_421] : ( multiply(sk_c6,multiply(sk_c5,Z_421)) = multiply(identity,Z_421) ),
inference(superposition,[status(thm),theory(equality)],[c_51492,c_51588]) ).
tff(c_51687,plain,
! [Z_424] : ( multiply(sk_c6,multiply(sk_c5,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51627]) ).
tff(c_51699,plain,
multiply(sk_c6,sk_c12) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_51540,c_51687]) ).
tff(c_51906,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_51699,c_51867]) ).
tff(c_51989,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51906]) ).
tff(c_51506,plain,
multiply(sk_c2,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_51624,plain,
! [Z_421] : ( multiply(sk_c2,multiply(sk_c11,Z_421)) = multiply(sk_c12,Z_421) ),
inference(superposition,[status(thm),theory(equality)],[c_51506,c_51588]) ).
tff(c_52271,plain,
! [Z_436] : ( multiply(sk_c2,Z_436) = Z_436 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51989,c_2,c_51988,c_51624]) ).
tff(c_52286,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_52271,c_161]) ).
tff(c_52301,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_52286,c_157]) ).
tff(c_52304,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52238,c_52301]) ).
tff(c_52176,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_51989,c_51487]) ).
tff(c_52366,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52304,c_2,c_52286,c_52176]) ).
tff(c_52367,plain,
inverse(sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_52372,plain,
multiply(sk_c9,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52367,c_4]) ).
tff(c_52455,plain,
! [X_437,Y_438,Z_439] : ( multiply(multiply(X_437,Y_438),Z_439) = multiply(X_437,multiply(Y_438,Z_439)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_52488,plain,
! [Z_439] : ( multiply(sk_c9,multiply(sk_c8,Z_439)) = multiply(identity,Z_439) ),
inference(superposition,[status(thm),theory(equality)],[c_52372,c_52455]) ).
tff(c_52681,plain,
! [Z_449] : ( multiply(sk_c9,multiply(sk_c8,Z_449)) = Z_449 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52488]) ).
tff(c_52693,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_52412,c_52681]) ).
tff(c_52509,plain,
! [X_2,Z_439] : ( multiply(inverse(X_2),multiply(X_2,Z_439)) = multiply(identity,Z_439) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_52455]) ).
tff(c_52950,plain,
! [X_456,Z_457] : ( multiply(inverse(X_456),multiply(X_456,Z_457)) = Z_457 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52509]) ).
tff(c_53004,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_52693,c_52950]) ).
tff(c_53056,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53004]) ).
tff(c_26,plain,
( ( multiply(sk_c10,sk_c12) = sk_c11 )
| ( multiply(sk_c1,sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_52400,plain,
multiply(sk_c10,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_51487,c_26]) ).
tff(c_50313,plain,
multiply(sk_c11,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50308,c_4]) ).
tff(c_52497,plain,
! [Z_439] : ( multiply(sk_c11,multiply(sk_c10,Z_439)) = multiply(identity,Z_439) ),
inference(superposition,[status(thm),theory(equality)],[c_50313,c_52455]) ).
tff(c_52740,plain,
! [Z_452] : ( multiply(sk_c11,multiply(sk_c10,Z_452)) = Z_452 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52497]) ).
tff(c_52752,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_52400,c_52740]) ).
tff(c_52819,plain,
! [Z_455] : ( multiply(sk_c8,multiply(sk_c9,Z_455)) = multiply(sk_c11,Z_455) ),
inference(superposition,[status(thm),theory(equality)],[c_52412,c_52455]) ).
tff(c_52834,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_52693,c_52819]) ).
tff(c_52847,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_52412,c_52752,c_52834]) ).
tff(c_52865,plain,
inverse(sk_c3) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_52847,c_145]) ).
tff(c_53070,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53056,c_52865]) ).
tff(c_53135,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53070,c_4]) ).
tff(c_52523,plain,
! [X_2,Z_439] : ( multiply(inverse(X_2),multiply(X_2,Z_439)) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52509]) ).
tff(c_53183,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_53135,c_52523]) ).
tff(c_53195,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53183]) ).
tff(c_52863,plain,
multiply(sk_c11,sk_c4) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_52847,c_175]) ).
tff(c_52971,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_52863,c_52950]) ).
tff(c_53051,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52971]) ).
tff(c_52862,plain,
multiply(sk_c3,sk_c11) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_52847,c_50309]) ).
tff(c_53065,plain,
multiply(sk_c3,identity) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_53056,c_52862]) ).
tff(c_53343,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53195,c_53051,c_53065]) ).
tff(c_53345,plain,
multiply(sk_c12,sk_c4) != sk_c11,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_68,plain,
( ( multiply(sk_c5,sk_c6) = sk_c12 )
| ( multiply(sk_c12,sk_c4) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_153720,plain,
multiply(sk_c5,sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_53345,c_68]) ).
tff(c_77389,plain,
! [X_758,Y_759,Z_760] : ( multiply(multiply(X_758,Y_759),Z_760) = multiply(X_758,multiply(Y_759,Z_760)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_77443,plain,
! [X_2,Z_760] : ( multiply(inverse(X_2),multiply(X_2,Z_760)) = multiply(identity,Z_760) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_77389]) ).
tff(c_82805,plain,
! [X_824,Z_825] : ( multiply(inverse(X_824),multiply(X_824,Z_825)) = Z_825 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77443]) ).
tff(c_77457,plain,
! [X_2,Z_760] : ( multiply(inverse(X_2),multiply(X_2,Z_760)) = Z_760 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77443]) ).
tff(c_83222,plain,
! [X_828,Z_829] : ( multiply(inverse(inverse(X_828)),Z_829) = multiply(X_828,Z_829) ),
inference(superposition,[status(thm),theory(equality)],[c_82805,c_77457]) ).
tff(c_83269,plain,
! [X_828] : ( multiply(X_828,inverse(X_828)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_83222]) ).
tff(c_76,plain,
( ( multiply(sk_c7,sk_c11) = sk_c12 )
| ( multiply(sk_c12,sk_c4) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_77335,plain,
multiply(sk_c7,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_53345,c_76]) ).
tff(c_53344,plain,
inverse(sk_c7) = sk_c12,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_53349,plain,
multiply(sk_c12,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53344,c_4]) ).
tff(c_77434,plain,
! [Z_760] : ( multiply(sk_c12,multiply(sk_c7,Z_760)) = multiply(identity,Z_760) ),
inference(superposition,[status(thm),theory(equality)],[c_53349,c_77389]) ).
tff(c_78058,plain,
! [Z_770] : ( multiply(sk_c12,multiply(sk_c7,Z_770)) = Z_770 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77434]) ).
tff(c_78070,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_77335,c_78058]) ).
tff(c_77325,plain,
multiply(sk_c1,sk_c2) = sk_c12,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_77437,plain,
! [Z_760] : ( multiply(sk_c2,multiply(sk_c1,Z_760)) = multiply(identity,Z_760) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_77389]) ).
tff(c_77459,plain,
! [Z_761] : ( multiply(sk_c2,multiply(sk_c1,Z_761)) = Z_761 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77437]) ).
tff(c_77471,plain,
multiply(sk_c2,sk_c12) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_77325,c_77459]) ).
tff(c_78420,plain,
! [Z_777] : ( multiply(sk_c1,multiply(sk_c2,Z_777)) = multiply(sk_c12,Z_777) ),
inference(superposition,[status(thm),theory(equality)],[c_77325,c_77389]) ).
tff(c_78435,plain,
multiply(sk_c12,sk_c12) = multiply(sk_c1,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_77471,c_78420]) ).
tff(c_78445,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_78070,c_77325,c_78435]) ).
tff(c_78450,plain,
multiply(sk_c2,sk_c11) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_78445,c_77471]) ).
tff(c_82835,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_78450,c_82805]) ).
tff(c_82888,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_82835]) ).
tff(c_82880,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_82805]) ).
tff(c_83232,plain,
! [X_828] : ( multiply(X_828,identity) = X_828 ),
inference(superposition,[status(thm),theory(equality)],[c_83222,c_82880]) ).
tff(c_78541,plain,
! [X_778,Z_779] : ( multiply(inverse(X_778),multiply(X_778,Z_779)) = Z_779 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77443]) ).
tff(c_78993,plain,
! [X_782,Z_783] : ( multiply(inverse(inverse(X_782)),Z_783) = multiply(X_782,Z_783) ),
inference(superposition,[status(thm),theory(equality)],[c_78541,c_77457]) ).
tff(c_78619,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_78541]) ).
tff(c_79003,plain,
! [X_782] : ( multiply(X_782,identity) = X_782 ),
inference(superposition,[status(thm),theory(equality)],[c_78993,c_78619]) ).
tff(c_78574,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_78450,c_78541]) ).
tff(c_78628,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_78574]) ).
tff(c_78105,plain,
! [Z_772] : ( multiply(sk_c1,multiply(sk_c2,Z_772)) = multiply(sk_c12,Z_772) ),
inference(superposition,[status(thm),theory(equality)],[c_77325,c_77389]) ).
tff(c_78120,plain,
multiply(sk_c12,sk_c12) = multiply(sk_c1,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_77471,c_78105]) ).
tff(c_78130,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_78070,c_77325,c_78120]) ).
tff(c_78135,plain,
multiply(sk_c2,sk_c11) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_78130,c_77471]) ).
tff(c_78245,plain,
! [X_774,Z_775] : ( multiply(inverse(X_774),multiply(X_774,Z_775)) = Z_775 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77443]) ).
tff(c_78269,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_78135,c_78245]) ).
tff(c_78312,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_78269]) ).
tff(c_82,plain,
( ( multiply(sk_c9,sk_c12) = sk_c11 )
| ( multiply(sk_c12,sk_c4) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_77353,plain,
multiply(sk_c9,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_53345,c_82]) ).
tff(c_78137,plain,
multiply(sk_c9,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_78130,c_77353]) ).
tff(c_54474,plain,
! [X_484,Y_485,Z_486] : ( multiply(multiply(X_484,Y_485),Z_486) = multiply(X_484,multiply(Y_485,Z_486)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_54531,plain,
! [X_2,Z_486] : ( multiply(inverse(X_2),multiply(X_2,Z_486)) = multiply(identity,Z_486) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_54474]) ).
tff(c_57878,plain,
! [X_547,Z_548] : ( multiply(inverse(X_547),multiply(X_547,Z_548)) = Z_548 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54531]) ).
tff(c_54545,plain,
! [X_2,Z_486] : ( multiply(inverse(X_2),multiply(X_2,Z_486)) = Z_486 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54531]) ).
tff(c_58382,plain,
! [X_553,Z_554] : ( multiply(inverse(inverse(X_553)),Z_554) = multiply(X_553,Z_554) ),
inference(superposition,[status(thm),theory(equality)],[c_57878,c_54545]) ).
tff(c_58420,plain,
! [X_553] : ( multiply(X_553,inverse(X_553)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_58382]) ).
tff(c_53443,plain,
multiply(sk_c5,sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_53345,c_68]) ).
tff(c_70,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c12,sk_c4) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_53357,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_53345,c_70]) ).
tff(c_53361,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53357,c_4]) ).
tff(c_53477,plain,
! [X_460,Y_461,Z_462] : ( multiply(multiply(X_460,Y_461),Z_462) = multiply(X_460,multiply(Y_461,Z_462)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_53525,plain,
! [Z_462] : ( multiply(sk_c6,multiply(sk_c5,Z_462)) = multiply(identity,Z_462) ),
inference(superposition,[status(thm),theory(equality)],[c_53361,c_53477]) ).
tff(c_53976,plain,
! [Z_478] : ( multiply(sk_c6,multiply(sk_c5,Z_478)) = Z_478 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53525]) ).
tff(c_53988,plain,
multiply(sk_c6,sk_c12) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_53443,c_53976]) ).
tff(c_53537,plain,
! [X_2,Z_462] : ( multiply(inverse(X_2),multiply(X_2,Z_462)) = multiply(identity,Z_462) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53477]) ).
tff(c_54085,plain,
! [X_480,Z_481] : ( multiply(inverse(X_480),multiply(X_480,Z_481)) = Z_481 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53537]) ).
tff(c_54121,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_53988,c_54085]) ).
tff(c_54240,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54121]) ).
tff(c_53427,plain,
multiply(sk_c7,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_53345,c_76]) ).
tff(c_53528,plain,
! [Z_462] : ( multiply(sk_c12,multiply(sk_c7,Z_462)) = multiply(identity,Z_462) ),
inference(superposition,[status(thm),theory(equality)],[c_53349,c_53477]) ).
tff(c_53744,plain,
! [Z_472] : ( multiply(sk_c12,multiply(sk_c7,Z_472)) = Z_472 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53528]) ).
tff(c_53756,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_53427,c_53744]) ).
tff(c_54299,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_54240,c_54240,c_53756]) ).
tff(c_54321,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54299]) ).
tff(c_53380,plain,
multiply(sk_c3,sk_c12) = sk_c4,
inference(splitLeft,[status(thm)],[c_104]) ).
tff(c_53534,plain,
! [Z_462] : ( multiply(sk_c12,multiply(sk_c3,Z_462)) = multiply(identity,Z_462) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_53477]) ).
tff(c_53704,plain,
! [Z_470] : ( multiply(sk_c12,multiply(sk_c3,Z_470)) = Z_470 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53534]) ).
tff(c_53716,plain,
multiply(sk_c12,sk_c4) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_53380,c_53704]) ).
tff(c_53720,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_53716,c_53345]) ).
tff(c_54302,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_54240,c_53720]) ).
tff(c_54371,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54321,c_54302]) ).
tff(c_54373,plain,
multiply(sk_c3,sk_c12) != sk_c4,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_54454,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_54373,c_98]) ).
tff(c_80,plain,
( ( inverse(sk_c8) = sk_c9 )
| ( multiply(sk_c12,sk_c4) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_54389,plain,
inverse(sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_53345,c_80]) ).
tff(c_54393,plain,
multiply(sk_c9,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54389,c_4]) ).
tff(c_54510,plain,
! [Z_486] : ( multiply(sk_c9,multiply(sk_c8,Z_486)) = multiply(identity,Z_486) ),
inference(superposition,[status(thm),theory(equality)],[c_54393,c_54474]) ).
tff(c_54753,plain,
! [Z_495] : ( multiply(sk_c9,multiply(sk_c8,Z_495)) = Z_495 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54510]) ).
tff(c_54765,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_54454,c_54753]) ).
tff(c_57914,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54765,c_57878]) ).
tff(c_57962,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_57914]) ).
tff(c_57953,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_57878]) ).
tff(c_58389,plain,
! [X_553] : ( multiply(X_553,identity) = X_553 ),
inference(superposition,[status(thm),theory(equality)],[c_58382,c_57953]) ).
tff(c_55525,plain,
! [X_509,Z_510] : ( multiply(inverse(X_509),multiply(X_509,Z_510)) = Z_510 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54531]) ).
tff(c_55986,plain,
! [X_513,Z_514] : ( multiply(inverse(inverse(X_513)),Z_514) = multiply(X_513,Z_514) ),
inference(superposition,[status(thm),theory(equality)],[c_54545,c_55525]) ).
tff(c_56024,plain,
! [X_513] : ( multiply(X_513,inverse(X_513)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_55986]) ).
tff(c_55561,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54765,c_55525]) ).
tff(c_55603,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55561]) ).
tff(c_55594,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_55525]) ).
tff(c_55993,plain,
! [X_513] : ( multiply(X_513,identity) = X_513 ),
inference(superposition,[status(thm),theory(equality)],[c_55986,c_55594]) ).
tff(c_96,plain,
( ( multiply(sk_c7,sk_c11) = sk_c12 )
| ( multiply(sk_c3,sk_c12) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_54436,plain,
multiply(sk_c7,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_54373,c_96]) ).
tff(c_54522,plain,
! [Z_486] : ( multiply(sk_c12,multiply(sk_c7,Z_486)) = multiply(identity,Z_486) ),
inference(superposition,[status(thm),theory(equality)],[c_53349,c_54474]) ).
tff(c_55394,plain,
! [Z_508] : ( multiply(sk_c12,multiply(sk_c7,Z_508)) = Z_508 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54522]) ).
tff(c_55406,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54436,c_55394]) ).
tff(c_54416,plain,
multiply(sk_c1,sk_c2) = sk_c12,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_54525,plain,
! [Z_486] : ( multiply(sk_c2,multiply(sk_c1,Z_486)) = multiply(identity,Z_486) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_54474]) ).
tff(c_54681,plain,
! [Z_492] : ( multiply(sk_c2,multiply(sk_c1,Z_492)) = Z_492 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54525]) ).
tff(c_54693,plain,
multiply(sk_c2,sk_c12) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_54416,c_54681]) ).
tff(c_54717,plain,
! [Z_494] : ( multiply(sk_c1,multiply(sk_c2,Z_494)) = multiply(sk_c12,Z_494) ),
inference(superposition,[status(thm),theory(equality)],[c_54416,c_54474]) ).
tff(c_54732,plain,
multiply(sk_c12,sk_c12) = multiply(sk_c1,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_54693,c_54717]) ).
tff(c_54745,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_54416,c_54732]) ).
tff(c_55410,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_55406,c_54745]) ).
tff(c_54991,plain,
! [Z_501] : ( multiply(sk_c12,multiply(sk_c7,Z_501)) = Z_501 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54522]) ).
tff(c_55003,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54436,c_54991]) ).
tff(c_55007,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_55003,c_54745]) ).
tff(c_55015,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_55007,c_55007,c_55003]) ).
tff(c_55191,plain,
! [X_504,Z_505] : ( multiply(inverse(X_504),multiply(X_504,Z_505)) = Z_505 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54531]) ).
tff(c_55212,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_55015,c_55191]) ).
tff(c_55258,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55212]) ).
tff(c_55035,plain,
inverse(sk_c3) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_55007,c_145]) ).
tff(c_55068,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55035,c_4]) ).
tff(c_55288,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55258,c_55068]) ).
tff(c_55272,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55258,c_55035]) ).
tff(c_55321,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55288,c_55272]) ).
tff(c_54372,plain,
inverse(sk_c10) = sk_c11,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_54816,plain,
! [Z_497] : ( multiply(sk_c12,multiply(sk_c7,Z_497)) = Z_497 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54522]) ).
tff(c_54828,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54436,c_54816]) ).
tff(c_54851,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_54828,c_54745]) ).
tff(c_106,plain,
( ( multiply(sk_c10,sk_c12) = sk_c11 )
| ( multiply(sk_c3,sk_c12) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_54442,plain,
multiply(sk_c10,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_54373,c_106]) ).
tff(c_54869,plain,
multiply(sk_c10,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_54851,c_54442]) ).
tff(c_54449,plain,
multiply(sk_c5,sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_53345,c_68]) ).
tff(c_92,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( multiply(sk_c3,sk_c12) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_54429,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_54373,c_92]) ).
tff(c_54659,plain,
! [X5_491] :
( ( multiply(inverse(X5_491),sk_c11) != sk_c12 )
| ( multiply(X5_491,inverse(X5_491)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_54665,plain,
( ( multiply(sk_c6,sk_c11) != sk_c12 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_53357,c_54659]) ).
tff(c_54679,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54449,c_53357,c_54429,c_54665]) ).
tff(c_54680,plain,
! [X2_12,X8_13,X3_8,X9_9,X10_15] :
( ( inverse(X8_13) != sk_c12 )
| ( multiply(sk_c12,multiply(X8_13,sk_c12)) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c12 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c12 )
| ( multiply(X3_8,sk_c11) != sk_c12 )
| ( inverse(X3_8) != sk_c12 )
| ( multiply(inverse(X9_9),sk_c12) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X10_15,sk_c12) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_54792,plain,
! [X10_15] :
( ( multiply(X10_15,sk_c12) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_54680]) ).
tff(c_54906,plain,
! [X10_15] :
( ( multiply(X10_15,sk_c11) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54851,c_54792]) ).
tff(c_54956,plain,
inverse(sk_c10) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54869,c_54906]) ).
tff(c_54965,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54372,c_54956]) ).
tff(c_54966,plain,
! [X9_9,X3_8,X2_12,X8_13] :
( ( multiply(inverse(X9_9),sk_c12) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c12 )
| ( inverse(X3_8) != sk_c12 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c12 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c12 )
| ( inverse(X8_13) != sk_c12 )
| ( multiply(sk_c12,multiply(X8_13,sk_c12)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_54680]) ).
tff(c_54990,plain,
! [X8_13] :
( ( inverse(X8_13) != sk_c12 )
| ( multiply(sk_c12,multiply(X8_13,sk_c12)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_54966]) ).
tff(c_55092,plain,
! [X8_13] :
( ( inverse(X8_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X8_13,sk_c11)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55007,c_55007,c_55007,c_54990]) ).
tff(c_55161,plain,
( ( inverse(sk_c11) != sk_c11 )
| ( multiply(sk_c11,sk_c11) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_55015,c_55092]) ).
tff(c_55171,plain,
inverse(sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_55015,c_55161]) ).
tff(c_55262,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_55258,c_55258,c_55171]) ).
tff(c_55373,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55321,c_55262]) ).
tff(c_55374,plain,
! [X2_12,X3_8,X9_9] :
( ( multiply(inverse(X2_12),sk_c11) != sk_c12 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c12 )
| ( multiply(X3_8,sk_c11) != sk_c12 )
| ( inverse(X3_8) != sk_c12 )
| ( multiply(inverse(X9_9),sk_c12) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_54966]) ).
tff(c_55458,plain,
! [X2_12,X3_8,X9_9] :
( ( multiply(inverse(X2_12),sk_c11) != sk_c11 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X9_9),sk_c11) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55410,c_55410,c_55410,c_55410,c_55410,c_55374]) ).
tff(c_55459,plain,
! [X9_9] :
( ( multiply(inverse(X9_9),sk_c11) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_55458]) ).
tff(c_57852,plain,
! [X9_9] : ( inverse(X9_9) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_56024,c_55603,c_55993,c_55603,c_55603,c_55459]) ).
tff(c_55437,plain,
inverse(sk_c7) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_55410,c_53344]) ).
tff(c_55447,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55437,c_4]) ).
tff(c_55631,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55603,c_55447]) ).
tff(c_55613,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55603,c_55437]) ).
tff(c_55657,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55631,c_55613]) ).
tff(c_57854,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57852,c_55657]) ).
tff(c_57855,plain,
! [X3_8,X2_12] :
( ( multiply(X3_8,sk_c11) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c11 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_55458]) ).
tff(c_73778,plain,
! [X3_8,X2_12] :
( ( identity != X3_8 )
| ( inverse(X3_8) != identity )
| ( inverse(X2_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58420,c_57962,c_58389,c_57962,c_57962,c_57962,c_58389,c_57962,c_57962,c_57855]) ).
tff(c_73779,plain,
! [X2_12] : ( inverse(X2_12) != identity ),
inference(splitLeft,[status(thm)],[c_73778]) ).
tff(c_55439,plain,
inverse(sk_c3) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_55410,c_145]) ).
tff(c_55454,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55439,c_4]) ).
tff(c_57986,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57962,c_55454]) ).
tff(c_57970,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57962,c_55439]) ).
tff(c_58002,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57986,c_57970]) ).
tff(c_73781,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73779,c_58002]) ).
tff(c_73783,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_73778]) ).
tff(c_73785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73783,c_58002]) ).
tff(c_73786,plain,
multiply(sk_c5,sk_c6) = sk_c12,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_73855,plain,
! [X_686,Y_687,Z_688] : ( multiply(multiply(X_686,Y_687),Z_688) = multiply(X_686,multiply(Y_687,Z_688)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_73897,plain,
! [Z_688] : ( multiply(sk_c6,multiply(sk_c5,Z_688)) = multiply(identity,Z_688) ),
inference(superposition,[status(thm),theory(equality)],[c_53361,c_73855]) ).
tff(c_74102,plain,
! [Z_698] : ( multiply(sk_c6,multiply(sk_c5,Z_698)) = Z_698 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_73897]) ).
tff(c_74114,plain,
multiply(sk_c6,sk_c12) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_73786,c_74102]) ).
tff(c_73909,plain,
! [X_2,Z_688] : ( multiply(inverse(X_2),multiply(X_2,Z_688)) = multiply(identity,Z_688) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_73855]) ).
tff(c_74737,plain,
! [X_709,Z_710] : ( multiply(inverse(X_709),multiply(X_709,Z_710)) = Z_710 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_73909]) ).
tff(c_74782,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_74114,c_74737]) ).
tff(c_74877,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_74782]) ).
tff(c_73787,plain,
multiply(sk_c1,sk_c2) != sk_c12,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_16,plain,
( ( multiply(sk_c7,sk_c11) = sk_c12 )
| ( multiply(sk_c1,sk_c2) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_73826,plain,
multiply(sk_c7,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_73787,c_16]) ).
tff(c_73900,plain,
! [Z_688] : ( multiply(sk_c12,multiply(sk_c7,Z_688)) = multiply(identity,Z_688) ),
inference(superposition,[status(thm),theory(equality)],[c_53349,c_73855]) ).
tff(c_74125,plain,
! [Z_699] : ( multiply(sk_c12,multiply(sk_c7,Z_699)) = Z_699 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_73900]) ).
tff(c_74137,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_73826,c_74125]) ).
tff(c_74893,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_74877,c_74877,c_74137]) ).
tff(c_74915,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_74893]) ).
tff(c_54377,plain,
multiply(sk_c11,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54372,c_4]) ).
tff(c_74929,plain,
multiply(identity,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_74915,c_54377]) ).
tff(c_73923,plain,
! [X_2,Z_688] : ( multiply(inverse(X_2),multiply(X_2,Z_688)) = Z_688 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_73909]) ).
tff(c_75020,plain,
multiply(inverse(identity),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_74929,c_73923]) ).
tff(c_75032,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_75020]) ).
tff(c_74930,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_74915,c_54372]) ).
tff(c_75066,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_75032,c_74930]) ).
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_73792,plain,
multiply(sk_c1,sk_c2) = sk_c12,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_73798,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73792,c_73787]) ).
tff(c_73799,plain,
multiply(sk_c10,sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_74302,plain,
! [Z_702] : ( multiply(sk_c10,multiply(sk_c12,Z_702)) = multiply(sk_c11,Z_702) ),
inference(superposition,[status(thm),theory(equality)],[c_73799,c_73855]) ).
tff(c_74326,plain,
multiply(sk_c11,sk_c7) = multiply(sk_c10,identity),
inference(superposition,[status(thm),theory(equality)],[c_53349,c_74302]) ).
tff(c_53369,plain,
multiply(sk_c2,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_73894,plain,
! [Z_688] : ( multiply(sk_c2,multiply(sk_c11,Z_688)) = multiply(sk_c12,Z_688) ),
inference(superposition,[status(thm),theory(equality)],[c_53369,c_73855]) ).
tff(c_74336,plain,
multiply(sk_c2,multiply(sk_c10,identity)) = multiply(sk_c12,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_74326,c_73894]) ).
tff(c_74342,plain,
multiply(sk_c2,multiply(sk_c10,identity)) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53349,c_74336]) ).
tff(c_74360,plain,
! [Z_5] : ( multiply(sk_c2,multiply(multiply(sk_c10,identity),Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_74342,c_6]) ).
tff(c_74363,plain,
! [Z_5] : ( multiply(sk_c2,multiply(sk_c10,Z_5)) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_6,c_74360]) ).
tff(c_75067,plain,
! [Z_5] : ( multiply(sk_c2,multiply(identity,Z_5)) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_75032,c_74363]) ).
tff(c_75291,plain,
! [Z_716] : ( multiply(sk_c2,Z_716) = Z_716 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75067]) ).
tff(c_75306,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_75291,c_161]) ).
tff(c_75322,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_75306,c_157]) ).
tff(c_75326,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_75066,c_75322]) ).
tff(c_74903,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_74877,c_73787]) ).
tff(c_75319,plain,
multiply(identity,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_75306,c_74903]) ).
tff(c_75323,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75319]) ).
tff(c_75353,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75326,c_75323]) ).
tff(c_75355,plain,
multiply(sk_c2,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_48,plain,
( ( multiply(sk_c5,sk_c6) = sk_c12 )
| ( multiply(sk_c2,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_75860,plain,
multiply(sk_c5,sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_75355,c_48]) ).
tff(c_75915,plain,
! [X_731,Y_732,Z_733] : ( multiply(multiply(X_731,Y_732),Z_733) = multiply(X_731,multiply(Y_732,Z_733)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_75957,plain,
! [Z_733] : ( multiply(sk_c6,multiply(sk_c5,Z_733)) = multiply(identity,Z_733) ),
inference(superposition,[status(thm),theory(equality)],[c_53361,c_75915]) ).
tff(c_76365,plain,
! [Z_747] : ( multiply(sk_c6,multiply(sk_c5,Z_747)) = Z_747 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75957]) ).
tff(c_76377,plain,
multiply(sk_c6,sk_c12) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_75860,c_76365]) ).
tff(c_75969,plain,
! [X_2,Z_733] : ( multiply(inverse(X_2),multiply(X_2,Z_733)) = multiply(identity,Z_733) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_75915]) ).
tff(c_76989,plain,
! [X_755,Z_756] : ( multiply(inverse(X_755),multiply(X_755,Z_756)) = Z_756 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75969]) ).
tff(c_77043,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_76377,c_76989]) ).
tff(c_77159,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_77043]) ).
tff(c_76686,plain,
! [X_752,Z_753] : ( multiply(inverse(X_752),multiply(X_752,Z_753)) = Z_753 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75969]) ).
tff(c_76740,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_76377,c_76686]) ).
tff(c_76857,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_76740]) ).
tff(c_84,plain,
( ( inverse(sk_c10) = sk_c11 )
| ( multiply(sk_c12,sk_c4) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_75384,plain,
inverse(sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_53345,c_84]) ).
tff(c_86,plain,
( ( multiply(sk_c10,sk_c12) = sk_c11 )
| ( multiply(sk_c12,sk_c4) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_75888,plain,
multiply(sk_c10,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_53345,c_86]) ).
tff(c_52,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( multiply(sk_c2,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_75865,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_75355,c_52]) ).
tff(c_76062,plain,
! [X5_738] :
( ( multiply(inverse(X5_738),sk_c11) != sk_c12 )
| ( multiply(X5_738,inverse(X5_738)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_76068,plain,
( ( multiply(sk_c6,sk_c11) != sk_c12 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_53357,c_76062]) ).
tff(c_76082,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75860,c_53357,c_75865,c_76068]) ).
tff(c_76083,plain,
! [X2_12,X8_13,X3_8,X9_9,X10_15] :
( ( inverse(X8_13) != sk_c12 )
| ( multiply(sk_c12,multiply(X8_13,sk_c12)) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c12 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c12 )
| ( multiply(X3_8,sk_c11) != sk_c12 )
| ( inverse(X3_8) != sk_c12 )
| ( multiply(inverse(X9_9),sk_c12) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X10_15,sk_c12) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_76299,plain,
! [X10_745] :
( ( multiply(X10_745,sk_c12) != sk_c11 )
| ( inverse(X10_745) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_76083]) ).
tff(c_76315,plain,
inverse(sk_c10) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_75888,c_76299]) ).
tff(c_76334,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75384,c_76315]) ).
tff(c_76335,plain,
! [X9_9,X3_8,X2_12,X8_13] :
( ( multiply(inverse(X9_9),sk_c12) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c12 )
| ( inverse(X3_8) != sk_c12 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c12 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c12 )
| ( inverse(X8_13) != sk_c12 )
| ( multiply(sk_c12,multiply(X8_13,sk_c12)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_76083]) ).
tff(c_76549,plain,
! [X8_750] :
( ( inverse(X8_750) != sk_c12 )
| ( multiply(sk_c12,multiply(X8_750,sk_c12)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_76335]) ).
tff(c_76586,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( multiply(sk_c12,identity) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_76549]) ).
tff(c_76610,plain,
multiply(sk_c12,identity) != sk_c11,
inference(splitLeft,[status(thm)],[c_76586]) ).
tff(c_76873,plain,
multiply(identity,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_76857,c_76610]) ).
tff(c_76901,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_76873]) ).
tff(c_75368,plain,
multiply(sk_c3,sk_c12) = sk_c4,
inference(splitLeft,[status(thm)],[c_104]) ).
tff(c_75469,plain,
! [X_717,Y_718,Z_719] : ( multiply(multiply(X_717,Y_718),Z_719) = multiply(X_717,multiply(Y_718,Z_719)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_75523,plain,
! [Z_719] : ( multiply(sk_c12,multiply(sk_c3,Z_719)) = multiply(identity,Z_719) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_75469]) ).
tff(c_75684,plain,
! [Z_725] : ( multiply(sk_c12,multiply(sk_c3,Z_725)) = Z_725 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75523]) ).
tff(c_75696,plain,
multiply(sk_c12,sk_c4) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_75368,c_75684]) ).
tff(c_75700,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_75696,c_53345]) ).
tff(c_75422,plain,
multiply(sk_c7,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_53345,c_76]) ).
tff(c_75517,plain,
! [Z_719] : ( multiply(sk_c12,multiply(sk_c7,Z_719)) = multiply(identity,Z_719) ),
inference(superposition,[status(thm),theory(equality)],[c_53349,c_75469]) ).
tff(c_75796,plain,
! [Z_729] : ( multiply(sk_c12,multiply(sk_c7,Z_729)) = Z_729 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75517]) ).
tff(c_75808,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_75422,c_75796]) ).
tff(c_75411,plain,
multiply(sk_c1,sk_c2) = sk_c12,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_75520,plain,
! [Z_719] : ( multiply(sk_c2,multiply(sk_c1,Z_719)) = multiply(identity,Z_719) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_75469]) ).
tff(c_75542,plain,
! [Z_720] : ( multiply(sk_c2,multiply(sk_c1,Z_720)) = Z_720 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75520]) ).
tff(c_75554,plain,
multiply(sk_c2,sk_c12) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_75411,c_75542]) ).
tff(c_75708,plain,
! [Z_726] : ( multiply(sk_c1,multiply(sk_c2,Z_726)) = multiply(sk_c12,Z_726) ),
inference(superposition,[status(thm),theory(equality)],[c_75411,c_75469]) ).
tff(c_75723,plain,
multiply(sk_c12,sk_c12) = multiply(sk_c1,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_75554,c_75708]) ).
tff(c_75733,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_75411,c_75723]) ).
tff(c_75851,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_75808,c_75733]) ).
tff(c_75853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75700,c_75851]) ).
tff(c_75854,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_75354,plain,
inverse(sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_75359,plain,
multiply(sk_c9,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_75354,c_4]) ).
tff(c_75954,plain,
! [Z_733] : ( multiply(sk_c9,multiply(sk_c8,Z_733)) = multiply(identity,Z_733) ),
inference(superposition,[status(thm),theory(equality)],[c_75359,c_75915]) ).
tff(c_76092,plain,
! [Z_739] : ( multiply(sk_c9,multiply(sk_c8,Z_739)) = Z_739 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75954]) ).
tff(c_76104,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_75854,c_76092]) ).
tff(c_76767,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_76104,c_76686]) ).
tff(c_76859,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_76767]) ).
tff(c_76959,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76901,c_76859]) ).
tff(c_76961,plain,
multiply(sk_c12,identity) = sk_c11,
inference(splitRight,[status(thm)],[c_76586]) ).
tff(c_77176,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_77159,c_76961]) ).
tff(c_77204,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77176]) ).
tff(c_75966,plain,
! [Z_733] : ( multiply(sk_c12,multiply(sk_c3,Z_733)) = multiply(identity,Z_733) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_75915]) ).
tff(c_75998,plain,
! [Z_735] : ( multiply(sk_c12,multiply(sk_c3,Z_735)) = Z_735 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75966]) ).
tff(c_76010,plain,
multiply(sk_c12,sk_c4) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_75368,c_75998]) ).
tff(c_76084,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_76010,c_53345]) ).
tff(c_77189,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_77159,c_76084]) ).
tff(c_77280,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_77204,c_77189]) ).
tff(c_77282,plain,
multiply(sk_c3,sk_c12) != sk_c4,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_77330,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_77282,c_98]) ).
tff(c_77428,plain,
! [Z_760] : ( multiply(sk_c9,multiply(sk_c8,Z_760)) = multiply(identity,Z_760) ),
inference(superposition,[status(thm),theory(equality)],[c_75359,c_77389]) ).
tff(c_78082,plain,
! [Z_771] : ( multiply(sk_c9,multiply(sk_c8,Z_771)) = Z_771 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77428]) ).
tff(c_78094,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_77330,c_78082]) ).
tff(c_78206,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_78137,c_78094]) ).
tff(c_78230,plain,
inverse(sk_c8) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_78206,c_75354]) ).
tff(c_78239,plain,
multiply(sk_c11,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78230,c_4]) ).
tff(c_78340,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78312,c_78239]) ).
tff(c_78317,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78312,c_78230]) ).
tff(c_78359,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78340,c_78317]) ).
tff(c_77496,plain,
! [Z_763] : ( multiply(sk_c12,multiply(sk_c7,Z_763)) = Z_763 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77434]) ).
tff(c_77508,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_77335,c_77496]) ).
tff(c_77519,plain,
! [Z_764] : ( multiply(sk_c1,multiply(sk_c2,Z_764)) = multiply(sk_c12,Z_764) ),
inference(superposition,[status(thm),theory(equality)],[c_77325,c_77389]) ).
tff(c_77534,plain,
multiply(sk_c12,sk_c12) = multiply(sk_c1,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_77471,c_77519]) ).
tff(c_77544,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_77508,c_77325,c_77534]) ).
tff(c_77549,plain,
multiply(sk_c2,sk_c11) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_77544,c_77471]) ).
tff(c_77668,plain,
! [X_766,Z_767] : ( multiply(inverse(X_766),multiply(X_766,Z_767)) = Z_767 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77443]) ).
tff(c_77704,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_77549,c_77668]) ).
tff(c_77758,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_77704]) ).
tff(c_77561,plain,
multiply(sk_c11,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_77544,c_149]) ).
tff(c_77777,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_77758,c_77561]) ).
tff(c_78013,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_77777,c_77457]) ).
tff(c_78025,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_78013]) ).
tff(c_77562,plain,
inverse(sk_c3) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_77544,c_145]) ).
tff(c_77546,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_77544,c_77544,c_77508]) ).
tff(c_77482,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c11) != sk_c12 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_77596,plain,
! [X5_765] :
( ( multiply(inverse(X5_765),sk_c11) != sk_c11 )
| ( multiply(X5_765,inverse(X5_765)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77544,c_77544,c_77482]) ).
tff(c_77598,plain,
( ( multiply(sk_c11,sk_c11) != sk_c11 )
| ( multiply(sk_c3,inverse(sk_c3)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_77562,c_77596]) ).
tff(c_77613,plain,
multiply(sk_c3,sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_77562,c_77546,c_77598]) ).
tff(c_78043,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78025,c_77758,c_77758,c_77613]) ).
tff(c_78044,plain,
! [X2_12,X8_13,X3_8,X9_9,X10_15] :
( ( inverse(X8_13) != sk_c12 )
| ( multiply(sk_c12,multiply(X8_13,sk_c12)) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c12 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c12 )
| ( multiply(X3_8,sk_c11) != sk_c12 )
| ( inverse(X3_8) != sk_c12 )
| ( multiply(inverse(X9_9),sk_c12) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X10_15,sk_c12) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_78074,plain,
! [X10_15] :
( ( multiply(X10_15,sk_c12) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_78044]) ).
tff(c_78182,plain,
! [X10_773] :
( ( multiply(X10_773,sk_c11) != sk_c11 )
| ( inverse(X10_773) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78130,c_78074]) ).
tff(c_78205,plain,
inverse(identity) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_2,c_78182]) ).
tff(c_78320,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_78312,c_78205]) ).
tff(c_78411,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78359,c_78320]) ).
tff(c_78412,plain,
! [X9_9,X3_8,X2_12,X8_13] :
( ( multiply(inverse(X9_9),sk_c12) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c12 )
| ( inverse(X3_8) != sk_c12 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c12 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c12 )
| ( inverse(X8_13) != sk_c12 )
| ( multiply(sk_c12,multiply(X8_13,sk_c12)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_78044]) ).
tff(c_78496,plain,
! [X9_9,X3_8,X2_12,X8_13] :
( ( multiply(inverse(X9_9),sk_c11) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c11 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
| ( inverse(X8_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X8_13,sk_c11)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78445,c_78445,c_78445,c_78445,c_78445,c_78445,c_78445,c_78445,c_78412]) ).
tff(c_78497,plain,
! [X8_13] :
( ( inverse(X8_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X8_13,sk_c11)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_78496]) ).
tff(c_82771,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_79003,c_78628,c_78628,c_2,c_78628,c_78628,c_78497]) ).
tff(c_78461,plain,
inverse(sk_c7) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_78445,c_53344]) ).
tff(c_78471,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78461,c_4]) ).
tff(c_78663,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78628,c_78471]) ).
tff(c_78652,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78628,c_78461]) ).
tff(c_78688,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78663,c_78652]) ).
tff(c_82773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82771,c_78688]) ).
tff(c_82774,plain,
! [X2_12,X3_8,X9_9] :
( ( multiply(inverse(X2_12),sk_c11) != sk_c11 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X9_9),sk_c11) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_78496]) ).
tff(c_151849,plain,
! [X2_12,X3_8,X9_9] :
( ( inverse(X2_12) != identity )
| ( identity != X3_8 )
| ( inverse(X3_8) != identity )
| ( inverse(X9_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83269,c_82888,c_83232,c_82888,c_82888,c_82888,c_83232,c_82888,c_82888,c_83269,c_82888,c_83232,c_82888,c_82888,c_82774]) ).
tff(c_151850,plain,
! [X9_9] : ( inverse(X9_9) != identity ),
inference(splitLeft,[status(thm)],[c_151849]) ).
tff(c_82920,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_82888,c_78471]) ).
tff(c_82909,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_82888,c_78461]) ).
tff(c_82985,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_82920,c_82909]) ).
tff(c_151852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151850,c_82985]) ).
tff(c_151853,plain,
! [X2_12,X3_8] :
( ( inverse(X2_12) != identity )
| ( identity != X3_8 )
| ( inverse(X3_8) != identity ) ),
inference(splitRight,[status(thm)],[c_151849]) ).
tff(c_151855,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_151853]) ).
tff(c_151857,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151855,c_82985]) ).
tff(c_151858,plain,
! [X2_12] : ( inverse(X2_12) != identity ),
inference(splitRight,[status(thm)],[c_151853]) ).
tff(c_153697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151858,c_82985]) ).
tff(c_153699,plain,
multiply(sk_c1,sk_c2) != sk_c12,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_153711,plain,
multiply(sk_c7,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_153699,c_16]) ).
tff(c_153765,plain,
! [X_1098,Y_1099,Z_1100] : ( multiply(multiply(X_1098,Y_1099),Z_1100) = multiply(X_1098,multiply(Y_1099,Z_1100)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_153807,plain,
! [Z_1100] : ( multiply(sk_c12,multiply(sk_c7,Z_1100)) = multiply(identity,Z_1100) ),
inference(superposition,[status(thm),theory(equality)],[c_53349,c_153765]) ).
tff(c_154035,plain,
! [Z_1111] : ( multiply(sk_c12,multiply(sk_c7,Z_1111)) = Z_1111 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_153807]) ).
tff(c_154047,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_153711,c_154035]) ).
tff(c_153804,plain,
! [Z_1100] : ( multiply(sk_c6,multiply(sk_c5,Z_1100)) = multiply(identity,Z_1100) ),
inference(superposition,[status(thm),theory(equality)],[c_53361,c_153765]) ).
tff(c_153967,plain,
! [Z_1108] : ( multiply(sk_c6,multiply(sk_c5,Z_1108)) = Z_1108 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_153804]) ).
tff(c_153979,plain,
multiply(sk_c6,sk_c12) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_153720,c_153967]) ).
tff(c_154370,plain,
! [Z_1116] : ( multiply(sk_c5,multiply(sk_c6,Z_1116)) = multiply(sk_c12,Z_1116) ),
inference(superposition,[status(thm),theory(equality)],[c_153720,c_153765]) ).
tff(c_154391,plain,
multiply(sk_c5,sk_c6) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_153979,c_154370]) ).
tff(c_154407,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_153720,c_154047,c_154391]) ).
tff(c_154415,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_154407,c_154407,c_154047]) ).
tff(c_153816,plain,
! [X_2,Z_1100] : ( multiply(inverse(X_2),multiply(X_2,Z_1100)) = multiply(identity,Z_1100) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_153765]) ).
tff(c_154544,plain,
! [X_1117,Z_1118] : ( multiply(inverse(X_1117),multiply(X_1117,Z_1118)) = Z_1118 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_153816]) ).
tff(c_154583,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_154415,c_154544]) ).
tff(c_154622,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_154583]) ).
tff(c_154426,plain,
multiply(sk_c1,sk_c2) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_154407,c_153699]) ).
tff(c_154801,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_154622,c_154426]) ).
tff(c_153830,plain,
! [X_2,Z_1100] : ( multiply(inverse(X_2),multiply(X_2,Z_1100)) = Z_1100 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_153816]) ).
tff(c_154902,plain,
! [X_1122,Z_1123] : ( multiply(inverse(inverse(X_1122)),Z_1123) = multiply(X_1122,Z_1123) ),
inference(superposition,[status(thm),theory(equality)],[c_153830,c_154544]) ).
tff(c_154613,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_154544]) ).
tff(c_154957,plain,
! [X_1124] : ( multiply(X_1124,identity) = X_1124 ),
inference(superposition,[status(thm),theory(equality)],[c_154902,c_154613]) ).
tff(c_154607,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_161,c_154544]) ).
tff(c_154970,plain,
inverse(sk_c2) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_154957,c_154607]) ).
tff(c_155047,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_154970,c_4]) ).
tff(c_155053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154801,c_155047]) ).
tff(c_155055,plain,
inverse(sk_c1) != sk_c2,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c6) = sk_c12 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_155127,plain,
multiply(sk_c5,sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_155055,c_28]) ).
tff(c_36,plain,
( ( multiply(sk_c7,sk_c11) = sk_c12 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_155132,plain,
multiply(sk_c7,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_155055,c_36]) ).
tff(c_34,plain,
( ( inverse(sk_c7) = sk_c12 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_155056,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_155064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155055,c_155056]) ).
tff(c_155065,plain,
inverse(sk_c7) = sk_c12,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_155077,plain,
multiply(sk_c12,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_155065,c_4]) ).
tff(c_155231,plain,
! [Z_1127] : ( multiply(sk_c12,multiply(sk_c7,Z_1127)) = multiply(identity,Z_1127) ),
inference(superposition,[status(thm),theory(equality)],[c_155077,c_155192]) ).
tff(c_155388,plain,
! [Z_1135] : ( multiply(sk_c12,multiply(sk_c7,Z_1135)) = Z_1135 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_155231]) ).
tff(c_155400,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_155132,c_155388]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_155101,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_155055,c_30]) ).
tff(c_155105,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_155101,c_4]) ).
tff(c_155225,plain,
! [Z_1127] : ( multiply(sk_c6,multiply(sk_c5,Z_1127)) = multiply(identity,Z_1127) ),
inference(superposition,[status(thm),theory(equality)],[c_155105,c_155192]) ).
tff(c_155812,plain,
! [Z_1143] : ( multiply(sk_c6,multiply(sk_c5,Z_1143)) = Z_1143 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_155225]) ).
tff(c_155833,plain,
multiply(sk_c6,sk_c12) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_155127,c_155812]) ).
tff(c_155219,plain,
! [Z_1127] : ( multiply(sk_c5,multiply(sk_c6,Z_1127)) = multiply(sk_c12,Z_1127) ),
inference(superposition,[status(thm),theory(equality)],[c_155127,c_155192]) ).
tff(c_155869,plain,
multiply(sk_c5,sk_c6) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_155833,c_155219]) ).
tff(c_155875,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_155127,c_155400,c_155869]) ).
tff(c_155880,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_155875,c_155875,c_155400]) ).
tff(c_157398,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_155880,c_157377]) ).
tff(c_157435,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_157398]) ).
tff(c_157428,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_157377]) ).
tff(c_157737,plain,
! [X_1176] : ( multiply(X_1176,identity) = X_1176 ),
inference(superposition,[status(thm),theory(equality)],[c_157730,c_157428]) ).
tff(c_155985,plain,
! [X_1145,Z_1146] : ( multiply(inverse(X_1145),multiply(X_1145,Z_1146)) = Z_1146 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_155240]) ).
tff(c_156333,plain,
! [X_1150,Z_1151] : ( multiply(inverse(inverse(X_1150)),Z_1151) = multiply(X_1150,Z_1151) ),
inference(superposition,[status(thm),theory(equality)],[c_155253,c_155985]) ).
tff(c_156048,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_155985]) ).
tff(c_156340,plain,
! [X_1150] : ( multiply(X_1150,identity) = X_1150 ),
inference(superposition,[status(thm),theory(equality)],[c_156333,c_156048]) ).
tff(c_156018,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_155880,c_155985]) ).
tff(c_156058,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_156018]) ).
tff(c_155443,plain,
! [Z_1137] : ( multiply(sk_c6,multiply(sk_c5,Z_1137)) = Z_1137 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_155225]) ).
tff(c_155464,plain,
multiply(sk_c6,sk_c12) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_155127,c_155443]) ).
tff(c_155471,plain,
multiply(sk_c5,sk_c6) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_155464,c_155219]) ).
tff(c_155477,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_155400,c_155127,c_155471]) ).
tff(c_46,plain,
( ( multiply(sk_c10,sk_c12) = sk_c11 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_155143,plain,
multiply(sk_c10,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_155055,c_46]) ).
tff(c_155054,plain,
inverse(sk_c10) = sk_c11,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_155070,plain,
multiply(sk_c11,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_155054,c_4]) ).
tff(c_155234,plain,
! [Z_1127] : ( multiply(sk_c11,multiply(sk_c10,Z_1127)) = multiply(identity,Z_1127) ),
inference(superposition,[status(thm),theory(equality)],[c_155070,c_155192]) ).
tff(c_155346,plain,
! [Z_1133] : ( multiply(sk_c11,multiply(sk_c10,Z_1133)) = Z_1133 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_155234]) ).
tff(c_155358,plain,
multiply(sk_c11,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_155143,c_155346]) ).
tff(c_155484,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_155477,c_155358]) ).
tff(c_155640,plain,
! [X_1140,Z_1141] : ( multiply(inverse(X_1140),multiply(X_1140,Z_1141)) = Z_1141 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_155240]) ).
tff(c_155658,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_155484,c_155640]) ).
tff(c_155698,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_155658]) ).
tff(c_32,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_155119,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_155055,c_32]) ).
tff(c_155490,plain,
multiply(sk_c6,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_155477,c_155119]) ).
tff(c_155479,plain,
multiply(sk_c6,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_155477,c_155464]) ).
tff(c_155604,plain,
sk_c6 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_155490,c_155479]) ).
tff(c_155609,plain,
inverse(sk_c5) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_155604,c_155101]) ).
tff(c_155617,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_155609,c_4]) ).
tff(c_155729,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_155698,c_155617]) ).
tff(c_155702,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_155698,c_155609]) ).
tff(c_155738,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_155729,c_155702]) ).
tff(c_42,plain,
( ( multiply(sk_c9,sk_c12) = sk_c11 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_155154,plain,
multiply(sk_c9,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_155055,c_42]) ).
tff(c_155486,plain,
multiply(sk_c9,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_155477,c_155154]) ).
tff(c_38,plain,
( ( multiply(sk_c8,sk_c9) = sk_c11 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_155149,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_155055,c_38]) ).
tff(c_40,plain,
( ( inverse(sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_155089,plain,
inverse(sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_155055,c_40]) ).
tff(c_155093,plain,
multiply(sk_c9,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_155089,c_4]) ).
tff(c_155228,plain,
! [Z_1127] : ( multiply(sk_c9,multiply(sk_c8,Z_1127)) = multiply(identity,Z_1127) ),
inference(superposition,[status(thm),theory(equality)],[c_155093,c_155192]) ).
tff(c_155419,plain,
! [Z_1136] : ( multiply(sk_c9,multiply(sk_c8,Z_1136)) = Z_1136 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_155228]) ).
tff(c_155431,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_155149,c_155419]) ).
tff(c_155554,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_155486,c_155431]) ).
tff(c_155315,plain,
! [X5_1131] :
( ( multiply(inverse(X5_1131),sk_c11) != sk_c12 )
| ( multiply(X5_1131,inverse(X5_1131)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_155317,plain,
( ( multiply(sk_c6,sk_c11) != sk_c12 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_155101,c_155315]) ).
tff(c_155331,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155127,c_155101,c_155119,c_155317]) ).
tff(c_155332,plain,
! [X2_12,X8_13,X3_8,X9_9,X10_15] :
( ( inverse(X8_13) != sk_c12 )
| ( multiply(sk_c12,multiply(X8_13,sk_c12)) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c12 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c12 )
| ( multiply(X3_8,sk_c11) != sk_c12 )
| ( inverse(X3_8) != sk_c12 )
| ( multiply(inverse(X9_9),sk_c12) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X10_15,sk_c12) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_155442,plain,
! [X10_15] :
( ( multiply(X10_15,sk_c12) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_155332]) ).
tff(c_155564,plain,
! [X10_1139] :
( ( multiply(X10_1139,sk_c11) != sk_c11 )
| ( inverse(X10_1139) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155477,c_155442]) ).
tff(c_155583,plain,
inverse(sk_c9) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_155486,c_155564]) ).
tff(c_155603,plain,
inverse(sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_155554,c_155583]) ).
tff(c_155705,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_155698,c_155698,c_155603]) ).
tff(c_155810,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155738,c_155705]) ).
tff(c_155811,plain,
! [X9_9,X3_8,X2_12,X8_13] :
( ( multiply(inverse(X9_9),sk_c12) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c12 )
| ( inverse(X3_8) != sk_c12 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c12 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c12 )
| ( inverse(X8_13) != sk_c12 )
| ( multiply(sk_c12,multiply(X8_13,sk_c12)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_155332]) ).
tff(c_155920,plain,
! [X9_9,X3_8,X2_12,X8_13] :
( ( multiply(inverse(X9_9),sk_c11) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c11 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
| ( inverse(X8_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X8_13,sk_c11)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155875,c_155875,c_155875,c_155875,c_155875,c_155875,c_155875,c_155875,c_155811]) ).
tff(c_155921,plain,
! [X8_13] :
( ( inverse(X8_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X8_13,sk_c11)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_155920]) ).
tff(c_157348,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_156340,c_156058,c_156058,c_2,c_156058,c_156058,c_155921]) ).
tff(c_155891,plain,
inverse(sk_c7) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_155875,c_155065]) ).
tff(c_155901,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_155891,c_4]) ).
tff(c_156087,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156058,c_155901]) ).
tff(c_156069,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_156058,c_155891]) ).
tff(c_156102,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_156087,c_156069]) ).
tff(c_157350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157348,c_156102]) ).
tff(c_157351,plain,
! [X2_12,X3_8,X9_9] :
( ( multiply(inverse(X2_12),sk_c11) != sk_c11 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X9_9),sk_c11) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_155920]) ).
tff(c_180987,plain,
! [X2_12,X3_8,X9_9] :
( ( inverse(X2_12) != identity )
| ( identity != X3_8 )
| ( inverse(X3_8) != identity )
| ( inverse(X9_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157751,c_157435,c_157737,c_157435,c_157435,c_157435,c_157737,c_157435,c_157435,c_157751,c_157435,c_157737,c_157435,c_157435,c_157351]) ).
tff(c_180988,plain,
! [X9_9] : ( inverse(X9_9) != identity ),
inference(splitLeft,[status(thm)],[c_180987]) ).
tff(c_155893,plain,
inverse(sk_c3) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_155875,c_145]) ).
tff(c_155908,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_155893,c_4]) ).
tff(c_157460,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_157435,c_155908]) ).
tff(c_157441,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157435,c_155893]) ).
tff(c_157475,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157460,c_157441]) ).
tff(c_180990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180988,c_157475]) ).
tff(c_180991,plain,
! [X2_12,X3_8] :
( ( inverse(X2_12) != identity )
| ( identity != X3_8 )
| ( inverse(X3_8) != identity ) ),
inference(splitRight,[status(thm)],[c_180987]) ).
tff(c_180993,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_180991]) ).
tff(c_180995,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180993,c_157475]) ).
tff(c_180996,plain,
! [X2_12] : ( inverse(X2_12) != identity ),
inference(splitRight,[status(thm)],[c_180991]) ).
tff(c_182146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180996,c_157475]) ).
tff(c_182148,plain,
inverse(sk_c3) != sk_c12,
inference(splitRight,[status(thm)],[c_120]) ).
tff(c_118,plain,
( ( multiply(sk_c8,sk_c9) = sk_c11 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_182203,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_182148,c_118]) ).
tff(c_182147,plain,
inverse(sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_120]) ).
tff(c_182152,plain,
multiply(sk_c9,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_182147,c_4]) ).
tff(c_182332,plain,
! [Z_1352] : ( multiply(sk_c9,multiply(sk_c8,Z_1352)) = multiply(identity,Z_1352) ),
inference(superposition,[status(thm),theory(equality)],[c_182152,c_182287]) ).
tff(c_182434,plain,
! [Z_1357] : ( multiply(sk_c9,multiply(sk_c8,Z_1357)) = Z_1357 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_182332]) ).
tff(c_182446,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_182203,c_182434]) ).
tff(c_183765,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_182446,c_183735]) ).
tff(c_183810,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_183765]) ).
tff(c_184141,plain,
! [X_1383] : ( multiply(X_1383,inverse(X_1383)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_184117,c_4]) ).
tff(c_116,plain,
( ( multiply(sk_c7,sk_c11) = sk_c12 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_182227,plain,
multiply(sk_c7,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_182148,c_116]) ).
tff(c_114,plain,
( ( inverse(sk_c7) = sk_c12 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_182185,plain,
inverse(sk_c7) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_182148,c_114]) ).
tff(c_182189,plain,
multiply(sk_c12,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_182185,c_4]) ).
tff(c_182323,plain,
! [Z_1352] : ( multiply(sk_c12,multiply(sk_c7,Z_1352)) = multiply(identity,Z_1352) ),
inference(superposition,[status(thm),theory(equality)],[c_182189,c_182287]) ).
tff(c_182516,plain,
! [Z_1360] : ( multiply(sk_c12,multiply(sk_c7,Z_1360)) = Z_1360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_182323]) ).
tff(c_182528,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_182227,c_182516]) ).
tff(c_108,plain,
( ( multiply(sk_c5,sk_c6) = sk_c12 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_182243,plain,
multiply(sk_c5,sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_182148,c_108]) ).
tff(c_110,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_182160,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_182148,c_110]) ).
tff(c_182164,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_182160,c_4]) ).
tff(c_182329,plain,
! [Z_1352] : ( multiply(sk_c6,multiply(sk_c5,Z_1352)) = multiply(identity,Z_1352) ),
inference(superposition,[status(thm),theory(equality)],[c_182164,c_182287]) ).
tff(c_182457,plain,
! [Z_1358] : ( multiply(sk_c6,multiply(sk_c5,Z_1358)) = Z_1358 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_182329]) ).
tff(c_182469,plain,
multiply(sk_c6,sk_c12) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_182243,c_182457]) ).
tff(c_182305,plain,
! [Z_1352] : ( multiply(sk_c5,multiply(sk_c6,Z_1352)) = multiply(sk_c12,Z_1352) ),
inference(superposition,[status(thm),theory(equality)],[c_182243,c_182287]) ).
tff(c_182501,plain,
multiply(sk_c5,sk_c6) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_182469,c_182305]) ).
tff(c_182507,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_182243,c_182501]) ).
tff(c_182532,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_182528,c_182507]) ).
tff(c_182540,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_182532,c_182532,c_182528]) ).
tff(c_182696,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_182540,c_182348]) ).
tff(c_182702,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_182696]) ).
tff(c_182615,plain,
! [X_1361,Z_1362] : ( multiply(inverse(X_1361),multiply(X_1361,Z_1362)) = Z_1362 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_182335]) ).
tff(c_182994,plain,
! [X_1366,Z_1367] : ( multiply(inverse(inverse(X_1366)),Z_1367) = multiply(X_1366,Z_1367) ),
inference(superposition,[status(thm),theory(equality)],[c_182615,c_182348]) ).
tff(c_182672,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_182615]) ).
tff(c_183004,plain,
! [X_1366] : ( multiply(X_1366,identity) = X_1366 ),
inference(superposition,[status(thm),theory(equality)],[c_182994,c_182672]) ).
tff(c_112,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_182209,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_182148,c_112]) ).
tff(c_182413,plain,
! [X5_1356] :
( ( multiply(inverse(X5_1356),sk_c11) != sk_c12 )
| ( multiply(X5_1356,inverse(X5_1356)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_182421,plain,
( ( multiply(sk_c6,sk_c11) != sk_c12 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_182160,c_182413]) ).
tff(c_182432,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_182243,c_182160,c_182209,c_182421]) ).
tff(c_182433,plain,
! [X2_12,X8_13,X3_8,X9_9,X10_15] :
( ( inverse(X8_13) != sk_c12 )
| ( multiply(sk_c12,multiply(X8_13,sk_c12)) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c12 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c12 )
| ( multiply(X3_8,sk_c11) != sk_c12 )
| ( inverse(X3_8) != sk_c12 )
| ( multiply(inverse(X9_9),sk_c12) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X10_15,sk_c12) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_182556,plain,
! [X2_12,X8_13,X3_8,X9_9,X10_15] :
( ( inverse(X8_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X8_13,sk_c11)) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c11 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X9_9),sk_c11) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X10_15,sk_c11) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182532,c_182532,c_182532,c_182532,c_182532,c_182532,c_182532,c_182532,c_182532,c_182433]) ).
tff(c_182557,plain,
! [X10_15] :
( ( multiply(X10_15,sk_c11) != sk_c11 )
| ( inverse(X10_15) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_182556]) ).
tff(c_183710,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_182702,c_183004,c_182702,c_182702,c_182557]) ).
tff(c_122,plain,
( ( multiply(sk_c9,sk_c12) = sk_c11 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_182253,plain,
multiply(sk_c9,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_182148,c_122]) ).
tff(c_182544,plain,
multiply(sk_c9,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_182532,c_182253]) ).
tff(c_182581,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_182544,c_182446]) ).
tff(c_182593,plain,
inverse(sk_c8) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_182581,c_182147]) ).
tff(c_182601,plain,
multiply(sk_c11,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_182593,c_4]) ).
tff(c_182721,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_182702,c_182601]) ).
tff(c_182707,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_182702,c_182593]) ).
tff(c_182744,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_182721,c_182707]) ).
tff(c_183712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_183710,c_182744]) ).
tff(c_183713,plain,
! [X9_9,X3_8,X2_12,X8_13] :
( ( multiply(inverse(X9_9),sk_c11) != sk_c11 )
| ( multiply(X9_9,inverse(X9_9)) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X2_12),sk_c11) != sk_c11 )
| ( multiply(X2_12,inverse(X2_12)) != sk_c11 )
| ( inverse(X8_13) != sk_c11 )
| ( multiply(sk_c11,multiply(X8_13,sk_c11)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_182556]) ).
tff(c_251936,plain,
! [X9_9,X3_8,X2_12,X8_13] :
( ( inverse(X9_9) != identity )
| ( identity != X3_8 )
| ( inverse(X3_8) != identity )
| ( inverse(X2_12) != identity )
| ( inverse(X8_13) != identity )
| ( identity != X8_13 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184127,c_183810,c_183810,c_2,c_183810,c_183810,c_184141,c_183810,c_184127,c_183810,c_183810,c_183810,c_184127,c_183810,c_183810,c_184141,c_183810,c_184127,c_183810,c_183810,c_183713]) ).
tff(c_251938,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_251936]) ).
tff(c_182550,plain,
inverse(sk_c7) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_182532,c_182185]) ).
tff(c_183717,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_182550,c_4]) ).
tff(c_183833,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_183810,c_183717]) ).
tff(c_183817,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_183810,c_182550]) ).
tff(c_183848,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_183833,c_183817]) ).
tff(c_251940,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_251938,c_183848]) ).
tff(c_251941,plain,
! [X2_12,X9_9,X3_8] :
( ( inverse(X2_12) != identity )
| ( inverse(X9_9) != identity )
| ( identity != X3_8 )
| ( inverse(X3_8) != identity ) ),
inference(splitRight,[status(thm)],[c_251936]) ).
tff(c_251943,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_251941]) ).
tff(c_251945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_251943,c_183848]) ).
tff(c_251946,plain,
! [X9_9,X2_12] :
( ( inverse(X9_9) != identity )
| ( inverse(X2_12) != identity ) ),
inference(splitRight,[status(thm)],[c_251941]) ).
tff(c_253756,plain,
! [X2_12] : ( inverse(X2_12) != identity ),
inference(splitLeft,[status(thm)],[c_251946]) ).
tff(c_253758,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_253756,c_183848]) ).
tff(c_253759,plain,
! [X9_9] : ( inverse(X9_9) != identity ),
inference(splitRight,[status(thm)],[c_251946]) ).
tff(c_253761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_253759,c_183848]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP208-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:01:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 37.78/24.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.08/24.50
% 38.08/24.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 38.36/24.59
% 38.36/24.59 Inference rules
% 38.36/24.59 ----------------------
% 38.36/24.59 #Ref : 0
% 38.36/24.59 #Sup : 60779
% 38.36/24.59 #Fact : 0
% 38.36/24.59 #Define : 0
% 38.36/24.59 #Split : 77
% 38.36/24.59 #Chain : 0
% 38.36/24.59 #Close : 0
% 38.36/24.59
% 38.36/24.59 Ordering : KBO
% 38.36/24.59
% 38.36/24.59 Simplification rules
% 38.36/24.59 ----------------------
% 38.36/24.59 #Subsume : 22
% 38.36/24.59 #Demod : 210160
% 38.36/24.59 #Tautology : 49842
% 38.36/24.59 #SimpNegUnit : 239
% 38.36/24.59 #BackRed : 1325
% 38.36/24.59
% 38.36/24.59 #Partial instantiations: 0
% 38.36/24.59 #Strategies tried : 1
% 38.36/24.59
% 38.36/24.59 Timing (in seconds)
% 38.36/24.59 ----------------------
% 38.36/24.60 Preprocessing : 0.58
% 38.36/24.60 Parsing : 0.21
% 38.36/24.60 CNF conversion : 0.03
% 38.36/24.60 Main loop : 22.79
% 38.36/24.60 Inferencing : 4.22
% 38.36/24.60 Reduction : 15.49
% 38.36/24.60 Demodulation : 14.70
% 38.36/24.60 BG Simplification : 0.33
% 38.36/24.60 Subsumption : 2.03
% 38.36/24.60 Abstraction : 1.01
% 38.36/24.60 MUC search : 0.00
% 38.36/24.60 Cooper : 0.00
% 38.36/24.60 Total : 23.57
% 38.36/24.60 Index Insertion : 0.00
% 38.36/24.60 Index Deletion : 0.00
% 38.36/24.60 Index Matching : 0.00
% 38.36/24.60 BG Taut test : 0.00
%------------------------------------------------------------------------------