TSTP Solution File: GRP282-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP282-1 : 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 : n008.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 10:40:46 EDT 2023
% Result : Unsatisfiable 22.19s 9.76s
% Output : CNFRefutation 22.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 56
% Syntax : Number of formulae : 793 ( 655 unt; 12 typ; 0 def)
% Number of atoms : 1089 (1051 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 650 ( 342 ~; 308 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 382 (; 382 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > 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_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( inverse(sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_248,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( multiply(sk_c9,sk_c8) != sk_c7 )
| ( multiply(X4,sk_c9) != sk_c8 )
| ( inverse(X4) != sk_c9 )
| ( multiply(sk_c9,X5) != sk_c8 )
| ( multiply(X6,sk_c9) != X5 )
| ( inverse(X6) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c9 )
| ( inverse(sk_c9) != sk_c7 )
| ( inverse(X1) != sk_c9 )
| ( multiply(X1,sk_c7) != sk_c9 )
| ( multiply(X3,X2) != sk_c7 )
| ( inverse(X3) != X2 )
| ( multiply(X2,sk_c9) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
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_48881,plain,
! [X_457,Y_458,Z_459] : ( multiply(multiply(X_457,Y_458),Z_459) = multiply(X_457,multiply(Y_458,Z_459)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_48923,plain,
! [X_2,Z_459] : ( multiply(inverse(X_2),multiply(X_2,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_48881]) ).
tff(c_48935,plain,
! [X_2,Z_459] : ( multiply(inverse(X_2),multiply(X_2,Z_459)) = Z_459 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48923]) ).
tff(c_51724,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_48923]) ).
tff(c_51984,plain,
! [X_513,Z_514] : ( multiply(inverse(inverse(X_513)),Z_514) = multiply(X_513,Z_514) ),
inference(superposition,[status(thm),theory(equality)],[c_48935,c_51724]) ).
tff(c_51760,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51724]) ).
tff(c_51991,plain,
! [X_513] : ( multiply(X_513,identity) = X_513 ),
inference(superposition,[status(thm),theory(equality)],[c_51984,c_51760]) ).
tff(c_26,plain,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_47731,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_52,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_133,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_137,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133,c_4]) ).
tff(c_47780,plain,
! [X_431,Y_432,Z_433] : ( multiply(multiply(X_431,Y_432),Z_433) = multiply(X_431,multiply(Y_432,Z_433)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_47822,plain,
! [Z_433] : ( multiply(sk_c9,multiply(sk_c1,Z_433)) = multiply(identity,Z_433) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_47780]) ).
tff(c_47843,plain,
! [Z_434] : ( multiply(sk_c9,multiply(sk_c1,Z_434)) = Z_434 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47822]) ).
tff(c_47855,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_47731,c_47843]) ).
tff(c_38781,plain,
! [X_318,Y_319,Z_320] : ( multiply(multiply(X_318,Y_319),Z_320) = multiply(X_318,multiply(Y_319,Z_320)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_38832,plain,
! [X_2,Z_320] : ( multiply(inverse(X_2),multiply(X_2,Z_320)) = multiply(identity,Z_320) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38781]) ).
tff(c_38845,plain,
! [X_2,Z_320] : ( multiply(inverse(X_2),multiply(X_2,Z_320)) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38832]) ).
tff(c_38940,plain,
! [X_322,Z_323] : ( multiply(inverse(X_322),multiply(X_322,Z_323)) = Z_323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38832]) ).
tff(c_39281,plain,
! [X_327,Z_328] : ( multiply(inverse(inverse(X_327)),Z_328) = multiply(X_327,Z_328) ),
inference(superposition,[status(thm),theory(equality)],[c_38845,c_38940]) ).
tff(c_39302,plain,
! [X_327] : ( multiply(X_327,inverse(X_327)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_39281,c_4]) ).
tff(c_207,plain,
! [X_14,Y_15,Z_16] : ( multiply(multiply(X_14,Y_15),Z_16) = multiply(X_14,multiply(Y_15,Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_240,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_207]) ).
tff(c_722,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_240]) ).
tff(c_250,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_240]) ).
tff(c_1207,plain,
! [X_29,Z_30] : ( multiply(inverse(inverse(X_29)),Z_30) = multiply(X_29,Z_30) ),
inference(superposition,[status(thm),theory(equality)],[c_722,c_250]) ).
tff(c_1228,plain,
! [X_29] : ( multiply(X_29,inverse(X_29)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_1207,c_4]) ).
tff(c_12,plain,
( ( inverse(sk_c9) = sk_c7 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_156,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_36,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_167,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_234,plain,
! [Z_16] : ( multiply(sk_c9,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_207]) ).
tff(c_397,plain,
! [Z_20] : ( multiply(sk_c9,multiply(sk_c1,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_234]) ).
tff(c_409,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_167,c_397]) ).
tff(c_413,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_156,c_409]) ).
tff(c_647,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_156]) ).
tff(c_419,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_156]) ).
tff(c_474,plain,
! [X_21,Z_22] : ( multiply(inverse(X_21),multiply(X_21,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_240]) ).
tff(c_495,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_419,c_474]) ).
tff(c_521,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_495]) ).
tff(c_62,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_151,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_420,plain,
multiply(sk_c7,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_151]) ).
tff(c_530,plain,
multiply(sk_c7,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_521,c_420]) ).
tff(c_100,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_121,plain,
inverse(sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_100]) ).
tff(c_424,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_121]) ).
tff(c_84,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_161,plain,
multiply(sk_c2,sk_c9) = sk_c3,
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_418,plain,
multiply(sk_c2,sk_c7) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_161]) ).
tff(c_557,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_418,c_250]) ).
tff(c_563,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_530,c_424,c_557]) ).
tff(c_255,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_234]) ).
tff(c_267,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_167,c_255]) ).
tff(c_271,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_156,c_267]) ).
tff(c_276,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_271,c_156]) ).
tff(c_337,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_276,c_250]) ).
tff(c_343,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_337]) ).
tff(c_104,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(inverse(X3_8),sk_c9) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( inverse(sk_c9) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 )
| ( multiply(sk_c9,sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_253,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(inverse(X3_8),sk_c9) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( inverse(sk_c9) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156,c_104]) ).
tff(c_254,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_253]) ).
tff(c_273,plain,
multiply(sk_c8,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_271,c_254]) ).
tff(c_387,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_343,c_273]) ).
tff(c_388,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( multiply(sk_c8,sk_c7) != sk_c9 )
| ( inverse(sk_c9) != sk_c7 )
| ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(inverse(X3_8),sk_c9) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_253]) ).
tff(c_414,plain,
inverse(sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_388]) ).
tff(c_429,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_414]) ).
tff(c_571,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_563,c_563,c_429]) ).
tff(c_422,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_133]) ).
tff(c_570,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_563,c_422]) ).
tff(c_597,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_570,c_4]) ).
tff(c_619,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_597,c_250]) ).
tff(c_631,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_619]) ).
tff(c_636,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_631,c_570]) ).
tff(c_640,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_571,c_636]) ).
tff(c_642,plain,
inverse(sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_388]) ).
tff(c_657,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_642]) ).
tff(c_648,plain,
multiply(sk_c7,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_151]) ).
tff(c_740,plain,
multiply(inverse(sk_c7),sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_648,c_722]) ).
tff(c_774,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_647,c_657,c_740]) ).
tff(c_650,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_133]) ).
tff(c_668,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_650,c_4]) ).
tff(c_749,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_668,c_722]) ).
tff(c_776,plain,
multiply(sk_c7,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_657,c_749]) ).
tff(c_942,plain,
multiply(sk_c3,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_774,c_776]) ).
tff(c_782,plain,
multiply(sk_c3,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_774,c_774,c_647]) ).
tff(c_898,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_782,c_250]) ).
tff(c_904,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_898]) ).
tff(c_906,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_904,c_782]) ).
tff(c_986,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_942,c_906]) ).
tff(c_785,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_774,c_774,c_657]) ).
tff(c_833,plain,
multiply(sk_c3,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_785,c_4]) ).
tff(c_1011,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_986,c_986,c_833]) ).
tff(c_652,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_121]) ).
tff(c_783,plain,
inverse(sk_c2) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_774,c_652]) ).
tff(c_996,plain,
inverse(sk_c2) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_986,c_783]) ).
tff(c_646,plain,
multiply(sk_c2,sk_c7) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_161]) ).
tff(c_837,plain,
multiply(sk_c2,sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_774,c_646]) ).
tff(c_992,plain,
multiply(sk_c2,sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_986,c_986,c_837]) ).
tff(c_1076,plain,
multiply(inverse(sk_c2),sk_c1) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_992,c_250]) ).
tff(c_1082,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1011,c_996,c_1076]) ).
tff(c_998,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_986,c_774]) ).
tff(c_1091,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1082,c_998]) ).
tff(c_767,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_722]) ).
tff(c_1214,plain,
! [X_29] : ( multiply(X_29,identity) = X_29 ),
inference(superposition,[status(thm),theory(equality)],[c_1207,c_767]) ).
tff(c_641,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(sk_c8,sk_c7) != sk_c9 )
| ( multiply(inverse(X3_8),sk_c9) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_388]) ).
tff(c_679,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(sk_c8,sk_c7) != sk_c7 )
| ( multiply(inverse(X3_8),sk_c7) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_413,c_413,c_413,c_413,c_413,c_413,c_413,c_413,c_413,c_641]) ).
tff(c_680,plain,
multiply(sk_c8,sk_c7) != sk_c7,
inference(splitLeft,[status(thm)],[c_679]) ).
tff(c_389,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_253]) ).
tff(c_644,plain,
multiply(sk_c8,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_389]) ).
tff(c_681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_680,c_644]) ).
tff(c_682,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(inverse(X3_8),sk_c7) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_679]) ).
tff(c_8312,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( identity != X1_9 )
| ( inverse(X1_9) != identity )
| ( inverse(X3_8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1228,c_1091,c_1214,c_1091,c_1091,c_1091,c_1214,c_1091,c_1091,c_1214,c_1091,c_2,c_1091,c_904,c_1091,c_1214,c_1091,c_904,c_1091,c_682]) ).
tff(c_8313,plain,
! [X3_8] : ( inverse(X3_8) != identity ),
inference(splitLeft,[status(thm)],[c_8312]) ).
tff(c_784,plain,
inverse(sk_c1) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_774,c_650]) ).
tff(c_994,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_986,c_784]) ).
tff(c_1088,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1082,c_1082,c_994]) ).
tff(c_8315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8313,c_1088]) ).
tff(c_8316,plain,
! [X4_11,X6_7,X1_9] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( identity != X1_9 )
| ( inverse(X1_9) != identity ) ),
inference(splitRight,[status(thm)],[c_8312]) ).
tff(c_34114,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8316]) ).
tff(c_34116,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34114,c_1088]) ).
tff(c_34117,plain,
! [X6_7,X4_11] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(splitRight,[status(thm)],[c_8316]) ).
tff(c_34119,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_34117]) ).
tff(c_34121,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34119,c_1088]) ).
tff(c_34124,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_34117]) ).
tff(c_34126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34124,c_1088]) ).
tff(c_34127,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_34128,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_34,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_34203,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34128,c_34]) ).
tff(c_34217,plain,
! [X_236,Y_237,Z_238] : ( multiply(multiply(X_236,Y_237),Z_238) = multiply(X_236,multiply(Y_237,Z_238)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34271,plain,
! [X_2,Z_238] : ( multiply(inverse(X_2),multiply(X_2,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34217]) ).
tff(c_34391,plain,
! [X_241,Z_242] : ( multiply(inverse(X_241),multiply(X_241,Z_242)) = Z_242 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34271]) ).
tff(c_34433,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34203,c_34391]) ).
tff(c_34452,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34127,c_34433]) ).
tff(c_34284,plain,
! [X_2,Z_238] : ( multiply(inverse(X_2),multiply(X_2,Z_238)) = Z_238 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34271]) ).
tff(c_34462,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34452,c_34284]) ).
tff(c_34468,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34462]) ).
tff(c_125,plain,
multiply(sk_c9,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_121,c_4]) ).
tff(c_34268,plain,
! [Z_238] : ( multiply(sk_c9,multiply(sk_c2,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_34217]) ).
tff(c_34299,plain,
! [Z_240] : ( multiply(sk_c9,multiply(sk_c2,Z_240)) = Z_240 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34268]) ).
tff(c_34311,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_161,c_34299]) ).
tff(c_34315,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_151,c_34311]) ).
tff(c_28,plain,
( ( inverse(sk_c9) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_34143,plain,
inverse(sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34128,c_28]) ).
tff(c_34325,plain,
inverse(sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34315,c_34143]) ).
tff(c_34472,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34468,c_34325]) ).
tff(c_34328,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34315,c_156]) ).
tff(c_34499,plain,
multiply(sk_c8,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34468,c_34328]) ).
tff(c_34503,plain,
multiply(inverse(sk_c8),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34499,c_34284]) ).
tff(c_34509,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34472,c_34503]) ).
tff(c_34330,plain,
multiply(sk_c8,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34315,c_137]) ).
tff(c_34579,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34509,c_34330]) ).
tff(c_34326,plain,
multiply(sk_c1,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34315,c_34128]) ).
tff(c_34632,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34579,c_34509,c_34509,c_34326]) ).
tff(c_34633,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_34634,plain,
multiply(sk_c2,sk_c9) != sk_c3,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_82,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_35141,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34634,c_82]) ).
tff(c_35160,plain,
! [X_251,Y_252,Z_253] : ( multiply(multiply(X_251,Y_252),Z_253) = multiply(X_251,multiply(Y_252,Z_253)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35211,plain,
! [X_2,Z_253] : ( multiply(inverse(X_2),multiply(X_2,Z_253)) = multiply(identity,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35160]) ).
tff(c_35847,plain,
! [X_263,Z_264] : ( multiply(inverse(X_263),multiply(X_263,Z_264)) = Z_264 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35211]) ).
tff(c_35874,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_35141,c_35847]) ).
tff(c_35890,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34633,c_35874]) ).
tff(c_35224,plain,
! [X_2,Z_253] : ( multiply(inverse(X_2),multiply(X_2,Z_253)) = Z_253 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35211]) ).
tff(c_35904,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35890,c_35224]) ).
tff(c_35910,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35904]) ).
tff(c_34714,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34634,c_82]) ).
tff(c_34729,plain,
! [X_244,Y_245,Z_246] : ( multiply(multiply(X_244,Y_245),Z_246) = multiply(X_244,multiply(Y_245,Z_246)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34783,plain,
! [X_2,Z_246] : ( multiply(inverse(X_2),multiply(X_2,Z_246)) = multiply(identity,Z_246) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34729]) ).
tff(c_34898,plain,
! [X_248,Z_249] : ( multiply(inverse(X_248),multiply(X_248,Z_249)) = Z_249 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34783]) ).
tff(c_34931,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34714,c_34898]) ).
tff(c_34947,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34633,c_34931]) ).
tff(c_34796,plain,
! [X_2,Z_246] : ( multiply(inverse(X_2),multiply(X_2,Z_246)) = Z_246 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34783]) ).
tff(c_34951,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34947,c_34796]) ).
tff(c_34957,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34951]) ).
tff(c_34652,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_34777,plain,
! [Z_246] : ( multiply(sk_c9,multiply(sk_c1,Z_246)) = multiply(identity,Z_246) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_34729]) ).
tff(c_34798,plain,
! [Z_247] : ( multiply(sk_c9,multiply(sk_c1,Z_247)) = Z_247 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34777]) ).
tff(c_34810,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34652,c_34798]) ).
tff(c_34814,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_156,c_34810]) ).
tff(c_34829,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34814,c_133]) ).
tff(c_34839,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34829,c_4]) ).
tff(c_34974,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34957,c_34839]) ).
tff(c_34824,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34814,c_34652]) ).
tff(c_35013,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34974,c_34957,c_34824]) ).
tff(c_34827,plain,
multiply(sk_c7,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34814,c_151]) ).
tff(c_35045,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35013,c_2,c_34957,c_34827]) ).
tff(c_34831,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34814,c_121]) ).
tff(c_34880,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34831,c_4]) ).
tff(c_35038,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34957,c_34880]) ).
tff(c_34825,plain,
multiply(sk_c2,sk_c7) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_34814,c_34634]) ).
tff(c_35078,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35045,c_2,c_35038,c_34957,c_34825]) ).
tff(c_35079,plain,
inverse(sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_35084,plain,
multiply(sk_c7,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35079,c_4]) ).
tff(c_35193,plain,
! [Z_253] : ( multiply(sk_c7,multiply(sk_c9,Z_253)) = multiply(identity,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_35084,c_35160]) ).
tff(c_35252,plain,
! [Z_256] : ( multiply(sk_c7,multiply(sk_c9,Z_256)) = Z_256 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35193]) ).
tff(c_35279,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_35252]) ).
tff(c_35917,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_35910,c_35279]) ).
tff(c_35919,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35917]) ).
tff(c_35273,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_156,c_35252]) ).
tff(c_35282,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_125,c_35252]) ).
tff(c_35646,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_35279,c_35282]) ).
tff(c_35080,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_35092,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35080,c_30]) ).
tff(c_35096,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35092,c_4]) ).
tff(c_35270,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_35096,c_35252]) ).
tff(c_35612,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_35282,c_35270]) ).
tff(c_80,plain,
( ( multiply(sk_c4,sk_c7) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_35115,plain,
multiply(sk_c4,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34634,c_80]) ).
tff(c_35637,plain,
multiply(sk_c2,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_35612,c_35115]) ).
tff(c_35671,plain,
multiply(sk_c1,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_35646,c_35637]) ).
tff(c_35205,plain,
! [Z_253] : ( multiply(sk_c9,multiply(sk_c1,Z_253)) = multiply(identity,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_35160]) ).
tff(c_35222,plain,
! [Z_253] : ( multiply(sk_c9,multiply(sk_c1,Z_253)) = Z_253 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35205]) ).
tff(c_35675,plain,
multiply(sk_c9,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35671,c_35222]) ).
tff(c_35220,plain,
! [Z_253] : ( multiply(sk_c7,multiply(sk_c9,Z_253)) = Z_253 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35193]) ).
tff(c_35686,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_35675,c_35220]) ).
tff(c_35692,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35273,c_35686]) ).
tff(c_35704,plain,
multiply(sk_c1,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35692,c_35080]) ).
tff(c_36017,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35919,c_35704]) ).
tff(c_36019,plain,
multiply(sk_c9,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_20,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_36034,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_36019,c_20]) ).
tff(c_18,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_37291,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_36019,c_18]) ).
tff(c_37317,plain,
! [X_292,Y_293,Z_294] : ( multiply(multiply(X_292,Y_293),Z_294) = multiply(X_292,multiply(Y_293,Z_294)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37365,plain,
! [X_2,Z_294] : ( multiply(inverse(X_2),multiply(X_2,Z_294)) = multiply(identity,Z_294) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37317]) ).
tff(c_37537,plain,
! [X_300,Z_301] : ( multiply(inverse(X_300),multiply(X_300,Z_301)) = Z_301 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37365]) ).
tff(c_37576,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37291,c_37537]) ).
tff(c_37616,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36034,c_37576]) ).
tff(c_37378,plain,
! [X_2,Z_294] : ( multiply(inverse(X_2),multiply(X_2,Z_294)) = Z_294 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37365]) ).
tff(c_37624,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37616,c_37378]) ).
tff(c_37630,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37624]) ).
tff(c_36018,plain,
inverse(sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_37642,plain,
inverse(sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37630,c_36018]) ).
tff(c_37722,plain,
multiply(identity,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37642,c_4]) ).
tff(c_37772,plain,
multiply(inverse(identity),identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_37722,c_37378]) ).
tff(c_37784,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37772]) ).
tff(c_37597,plain,
multiply(inverse(sk_c9),sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_151,c_37537]) ).
tff(c_37618,plain,
multiply(sk_c7,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_36018,c_37597]) ).
tff(c_37749,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37630,c_37618]) ).
tff(c_36024,plain,
multiply(sk_c7,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36018,c_4]) ).
tff(c_37353,plain,
! [Z_294] : ( multiply(sk_c7,multiply(sk_c9,Z_294)) = multiply(identity,Z_294) ),
inference(superposition,[status(thm),theory(equality)],[c_36024,c_37317]) ).
tff(c_37431,plain,
! [Z_298] : ( multiply(sk_c7,multiply(sk_c9,Z_298)) = Z_298 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37353]) ).
tff(c_37461,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_37431]) ).
tff(c_37633,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_37630,c_37461]) ).
tff(c_37643,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37633]) ).
tff(c_36050,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_36440,plain,
! [X_274,Y_275,Z_276] : ( multiply(multiply(X_274,Y_275),Z_276) = multiply(X_274,multiply(Y_275,Z_276)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36485,plain,
! [Z_276] : ( multiply(sk_c9,multiply(sk_c1,Z_276)) = multiply(identity,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_36440]) ).
tff(c_36506,plain,
! [Z_277] : ( multiply(sk_c9,multiply(sk_c1,Z_277)) = Z_277 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36485]) ).
tff(c_36518,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36050,c_36506]) ).
tff(c_36522,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36518,c_36019]) ).
tff(c_86,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_36086,plain,
multiply(sk_c2,sk_c9) = sk_c3,
inference(splitLeft,[status(thm)],[c_86]) ).
tff(c_36119,plain,
! [X_266,Y_267,Z_268] : ( multiply(multiply(X_266,Y_267),Z_268) = multiply(X_266,multiply(Y_267,Z_268)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36167,plain,
! [Z_268] : ( multiply(sk_c9,multiply(sk_c1,Z_268)) = multiply(identity,Z_268) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_36119]) ).
tff(c_36190,plain,
! [Z_269] : ( multiply(sk_c9,multiply(sk_c1,Z_269)) = Z_269 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36167]) ).
tff(c_36202,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36050,c_36190]) ).
tff(c_36214,plain,
! [Z_270] : ( multiply(sk_c2,multiply(sk_c9,Z_270)) = multiply(sk_c3,Z_270) ),
inference(superposition,[status(thm),theory(equality)],[c_36086,c_36119]) ).
tff(c_36226,plain,
multiply(sk_c3,sk_c8) = multiply(sk_c2,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_36202,c_36214]) ).
tff(c_36245,plain,
multiply(sk_c3,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_36086,c_36226]) ).
tff(c_36173,plain,
! [X_2,Z_268] : ( multiply(inverse(X_2),multiply(X_2,Z_268)) = multiply(identity,Z_268) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36119]) ).
tff(c_36307,plain,
! [X_272,Z_273] : ( multiply(inverse(X_272),multiply(X_272,Z_273)) = Z_273 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36173]) ).
tff(c_36328,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36245,c_36307]) ).
tff(c_36350,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36328]) ).
tff(c_36170,plain,
! [Z_268] : ( multiply(sk_c9,multiply(sk_c2,Z_268)) = multiply(identity,Z_268) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_36119]) ).
tff(c_36253,plain,
! [Z_271] : ( multiply(sk_c9,multiply(sk_c2,Z_271)) = Z_271 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36170]) ).
tff(c_36271,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36086,c_36253]) ).
tff(c_36275,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_151,c_36271]) ).
tff(c_36206,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36202,c_36019]) ).
tff(c_36278,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36275,c_36206]) ).
tff(c_36353,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36350,c_36278]) ).
tff(c_36290,plain,
inverse(sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36275,c_36018]) ).
tff(c_36391,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36350,c_36290]) ).
tff(c_36295,plain,
inverse(sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36275,c_121]) ).
tff(c_36303,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36295,c_4]) ).
tff(c_36364,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36350,c_36303]) ).
tff(c_36352,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36350,c_36295]) ).
tff(c_36403,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36391,c_36364,c_36352]) ).
tff(c_36404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36353,c_36403]) ).
tff(c_36406,plain,
multiply(sk_c2,sk_c9) != sk_c3,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_72,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_36426,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_36406,c_72]) ).
tff(c_10,plain,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_36075,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36019,c_10]) ).
tff(c_36531,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(inverse(X3_8),sk_c9) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 )
| ( sk_c9 != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36518,c_36426,c_36075,c_36018,c_104]) ).
tff(c_36532,plain,
sk_c9 != sk_c7,
inference(splitLeft,[status(thm)],[c_36531]) ).
tff(c_36479,plain,
! [Z_276] : ( multiply(sk_c7,multiply(sk_c9,Z_276)) = multiply(identity,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_36024,c_36440]) ).
tff(c_36582,plain,
! [Z_281] : ( multiply(sk_c7,multiply(sk_c9,Z_281)) = Z_281 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36479]) ).
tff(c_36606,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36518,c_36582]) ).
tff(c_36625,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36024,c_36606]) ).
tff(c_36629,plain,
multiply(identity,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_36625,c_36075]) ).
tff(c_36633,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36629]) ).
tff(c_36635,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36532,c_36633]) ).
tff(c_36637,plain,
sk_c9 = sk_c7,
inference(splitRight,[status(thm)],[c_36531]) ).
tff(c_36733,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36522,c_36637]) ).
tff(c_36735,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_37651,plain,
multiply(identity,sk_c9) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37643,c_36735]) ).
tff(c_37655,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37651]) ).
tff(c_37750,plain,
sk_c9 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_37749,c_37655]) ).
tff(c_37789,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37784,c_37750]) ).
tff(c_36757,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36019,c_10]) ).
tff(c_37582,plain,
multiply(inverse(sk_c8),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36757,c_37537]) ).
tff(c_37961,plain,
multiply(inverse(sk_c3),identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37784,c_37749,c_37630,c_37582]) ).
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_37968,plain,
! [Z_5] : ( multiply(inverse(sk_c3),multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_37961,c_6]) ).
tff(c_37982,plain,
! [Z_307] : ( multiply(inverse(sk_c3),Z_307) = Z_307 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_37968]) ).
tff(c_37999,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_37982,c_4]) ).
tff(c_38015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37789,c_37999]) ).
tff(c_38017,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_68,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_38036,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_38017,c_68]) ).
tff(c_66,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_38085,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_38017,c_66]) ).
tff(c_38122,plain,
! [X_308,Y_309,Z_310] : ( multiply(multiply(X_308,Y_309),Z_310) = multiply(X_308,multiply(Y_309,Z_310)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_38176,plain,
! [X_2,Z_310] : ( multiply(inverse(X_2),multiply(X_2,Z_310)) = multiply(identity,Z_310) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38122]) ).
tff(c_38405,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_38176]) ).
tff(c_38450,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_38085,c_38405]) ).
tff(c_38469,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38036,c_38450]) ).
tff(c_38189,plain,
! [X_2,Z_310] : ( multiply(inverse(X_2),multiply(X_2,Z_310)) = Z_310 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38176]) ).
tff(c_38481,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_38469,c_38189]) ).
tff(c_38487,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38481]) ).
tff(c_38030,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_38050,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_38170,plain,
! [Z_310] : ( multiply(sk_c9,multiply(sk_c1,Z_310)) = multiply(identity,Z_310) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_38122]) ).
tff(c_38306,plain,
! [Z_313] : ( multiply(sk_c9,multiply(sk_c1,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38170]) ).
tff(c_38318,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_38050,c_38306]) ).
tff(c_38322,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38030,c_38318]) ).
tff(c_38332,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38322,c_38030]) ).
tff(c_38426,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38332,c_38405]) ).
tff(c_38466,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38426]) ).
tff(c_38334,plain,
multiply(sk_c7,sk_c3) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_38322,c_38017]) ).
tff(c_38712,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38487,c_38466,c_38334]) ).
tff(c_38339,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38322,c_121]) ).
tff(c_38493,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38487,c_38339]) ).
tff(c_38532,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38493,c_4]) ).
tff(c_38602,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_38532,c_38189]) ).
tff(c_38614,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38602]) ).
tff(c_76,plain,
( ( inverse(sk_c9) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_38060,plain,
multiply(sk_c2,sk_c9) = sk_c3,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_38330,plain,
multiply(sk_c2,sk_c7) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_38322,c_38060]) ).
tff(c_38713,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38614,c_38487,c_38330]) ).
tff(c_38714,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38712,c_38713]) ).
tff(c_38716,plain,
multiply(sk_c2,sk_c9) != sk_c3,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_38741,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_38716,c_82]) ).
tff(c_38964,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_38741,c_38940]) ).
tff(c_38980,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38036,c_38964]) ).
tff(c_39026,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_38980,c_38845]) ).
tff(c_39032,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39026]) ).
tff(c_38973,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38940]) ).
tff(c_39288,plain,
! [X_327] : ( multiply(X_327,identity) = X_327 ),
inference(superposition,[status(thm),theory(equality)],[c_39281,c_38973]) ).
tff(c_38826,plain,
! [Z_320] : ( multiply(sk_c9,multiply(sk_c1,Z_320)) = multiply(identity,Z_320) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_38781]) ).
tff(c_38847,plain,
! [Z_321] : ( multiply(sk_c9,multiply(sk_c1,Z_321)) = Z_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38826]) ).
tff(c_38859,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_38050,c_38847]) ).
tff(c_38863,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38030,c_38859]) ).
tff(c_38885,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(inverse(X3_8),sk_c7) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(sk_c7) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38863,c_38863,c_38863,c_38863,c_38863,c_38863,c_38863,c_38863,c_38863,c_38863,c_38863,c_38863,c_104]) ).
tff(c_38886,plain,
multiply(sk_c7,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_38885]) ).
tff(c_38873,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38863,c_38030]) ).
tff(c_38930,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38886,c_38873]) ).
tff(c_38932,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_38885]) ).
tff(c_39109,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39032,c_2,c_39032,c_38932]) ).
tff(c_38715,plain,
inverse(sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_38871,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38863,c_38715]) ).
tff(c_39037,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39032,c_39032,c_38871]) ).
tff(c_38931,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( multiply(sk_c8,sk_c7) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c7 )
| ( inverse(sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(inverse(X3_8),sk_c7) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_38885]) ).
tff(c_46756,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( identity != X1_9 )
| ( inverse(X1_9) != identity )
| ( inverse(X3_8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39302,c_39032,c_39288,c_39032,c_39032,c_39032,c_39288,c_39032,c_39032,c_39288,c_39109,c_39032,c_2,c_39032,c_39032,c_39288,c_39109,c_39032,c_39032,c_39037,c_39032,c_39032,c_2,c_39109,c_39032,c_39032,c_2,c_39109,c_39032,c_39032,c_38931]) ).
tff(c_46757,plain,
! [X3_8] : ( inverse(X3_8) != identity ),
inference(splitLeft,[status(thm)],[c_46756]) ).
tff(c_46759,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46757,c_39037]) ).
tff(c_46760,plain,
! [X4_11,X6_7,X1_9] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( identity != X1_9 )
| ( inverse(X1_9) != identity ) ),
inference(splitRight,[status(thm)],[c_46756]) ).
tff(c_46770,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_46760]) ).
tff(c_46772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46770,c_39037]) ).
tff(c_46773,plain,
! [X6_7,X4_11] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(splitRight,[status(thm)],[c_46760]) ).
tff(c_46775,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_46773]) ).
tff(c_46777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46775,c_39037]) ).
tff(c_46780,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_46773]) ).
tff(c_46782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46780,c_39037]) ).
tff(c_46783,plain,
inverse(sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_46788,plain,
multiply(sk_c7,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46783,c_4]) ).
tff(c_46855,plain,
! [X_413,Y_414,Z_415] : ( multiply(multiply(X_413,Y_414),Z_415) = multiply(X_413,multiply(Y_414,Z_415)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_46885,plain,
! [Z_415] : ( multiply(sk_c7,multiply(sk_c9,Z_415)) = multiply(identity,Z_415) ),
inference(superposition,[status(thm),theory(equality)],[c_46788,c_46855]) ).
tff(c_47366,plain,
! [Z_425] : ( multiply(sk_c7,multiply(sk_c9,Z_425)) = Z_425 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46885]) ).
tff(c_47390,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38030,c_47366]) ).
tff(c_46784,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c7) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_46810,plain,
multiply(sk_c4,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_46784,c_32]) ).
tff(c_38016,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_38021,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38016,c_4]) ).
tff(c_46894,plain,
! [Z_415] : ( multiply(sk_c9,multiply(sk_c4,Z_415)) = multiply(identity,Z_415) ),
inference(superposition,[status(thm),theory(equality)],[c_38021,c_46855]) ).
tff(c_47319,plain,
! [Z_423] : ( multiply(sk_c9,multiply(sk_c4,Z_423)) = Z_423 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46894]) ).
tff(c_47331,plain,
multiply(sk_c9,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_46810,c_47319]) ).
tff(c_58,plain,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_46837,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_38017,c_58]) ).
tff(c_47418,plain,
! [Z_426] : ( multiply(sk_c9,multiply(sk_c8,Z_426)) = multiply(sk_c7,Z_426) ),
inference(superposition,[status(thm),theory(equality)],[c_38030,c_46855]) ).
tff(c_47433,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_46837,c_47418]) ).
tff(c_47440,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47390,c_47331,c_47433]) ).
tff(c_24,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_46821,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_46784,c_24]) ).
tff(c_47445,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47440,c_46821]) ).
tff(c_47449,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46788,c_47445]) ).
tff(c_47463,plain,
inverse(sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47449,c_46783]) ).
tff(c_47484,plain,
multiply(identity,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47463,c_4]) ).
tff(c_47570,plain,
sk_c9 = identity,
inference(superposition,[status(thm),theory(equality)],[c_47484,c_2]) ).
tff(c_47393,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_38021,c_47366]) ).
tff(c_47455,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_47449,c_47393]) ).
tff(c_47464,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47455]) ).
tff(c_46913,plain,
! [Z_415] : ( multiply(sk_c9,multiply(sk_c4,Z_415)) = Z_415 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46894]) ).
tff(c_47473,plain,
! [Z_415] : ( multiply(sk_c9,multiply(identity,Z_415)) = Z_415 ),
inference(demodulation,[status(thm),theory(equality)],[c_47464,c_46913]) ).
tff(c_47527,plain,
! [Z_428] : ( multiply(sk_c9,Z_428) = Z_428 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47473]) ).
tff(c_47557,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_137,c_47527]) ).
tff(c_47446,plain,
multiply(sk_c1,sk_c9) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47440,c_46784]) ).
tff(c_47686,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47570,c_2,c_47557,c_47449,c_47446]) ).
tff(c_47688,plain,
multiply(sk_c9,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_47859,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47855,c_47688]) ).
tff(c_60,plain,
( ( inverse(sk_c9) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_47696,plain,
inverse(sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_38017,c_60]) ).
tff(c_47700,plain,
multiply(sk_c7,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47696,c_4]) ).
tff(c_47813,plain,
! [Z_433] : ( multiply(sk_c7,multiply(sk_c9,Z_433)) = multiply(identity,Z_433) ),
inference(superposition,[status(thm),theory(equality)],[c_47700,c_47780]) ).
tff(c_47882,plain,
! [Z_436] : ( multiply(sk_c7,multiply(sk_c9,Z_436)) = Z_436 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47813]) ).
tff(c_47897,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_47855,c_47882]) ).
tff(c_47913,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47700,c_47897]) ).
tff(c_47765,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_47688,c_10]) ).
tff(c_47915,plain,
multiply(identity,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_47913,c_47765]) ).
tff(c_47919,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47915]) ).
tff(c_47921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47859,c_47919]) ).
tff(c_47923,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_47933,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_47923,c_34]) ).
tff(c_47687,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_47692,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47687,c_4]) ).
tff(c_47973,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_48006,plain,
! [Z_439] : ( multiply(sk_c6,multiply(sk_c5,Z_439)) = multiply(identity,Z_439) ),
inference(superposition,[status(thm),theory(equality)],[c_47692,c_47973]) ).
tff(c_48059,plain,
! [Z_442] : ( multiply(sk_c6,multiply(sk_c5,Z_442)) = Z_442 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48006]) ).
tff(c_48071,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_47933,c_48059]) ).
tff(c_48018,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_47973]) ).
tff(c_48225,plain,
! [X_446,Z_447] : ( multiply(inverse(X_446),multiply(X_446,Z_447)) = Z_447 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48018]) ).
tff(c_48261,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_48071,c_48225]) ).
tff(c_48312,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48261]) ).
tff(c_48003,plain,
! [Z_439] : ( multiply(sk_c7,multiply(sk_c9,Z_439)) = multiply(identity,Z_439) ),
inference(superposition,[status(thm),theory(equality)],[c_47700,c_47973]) ).
tff(c_48107,plain,
! [Z_444] : ( multiply(sk_c7,multiply(sk_c9,Z_444)) = Z_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48003]) ).
tff(c_48134,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_48107]) ).
tff(c_48321,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_48312,c_48134]) ).
tff(c_48333,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48321]) ).
tff(c_48012,plain,
! [Z_439] : ( multiply(sk_c9,multiply(sk_c1,Z_439)) = multiply(identity,Z_439) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_47973]) ).
tff(c_48029,plain,
! [Z_439] : ( multiply(sk_c9,multiply(sk_c1,Z_439)) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48012]) ).
tff(c_48341,plain,
! [Z_439] : ( multiply(sk_c9,multiply(identity,Z_439)) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_48333,c_48029]) ).
tff(c_48345,plain,
! [Z_439] : ( multiply(sk_c9,Z_439) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48341]) ).
tff(c_70,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_47928,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_38017,c_70]) ).
tff(c_47997,plain,
! [Z_439] : ( multiply(sk_c6,multiply(sk_c9,Z_439)) = multiply(sk_c7,Z_439) ),
inference(superposition,[status(thm),theory(equality)],[c_47928,c_47973]) ).
tff(c_48429,plain,
! [Z_439] : ( multiply(sk_c6,multiply(sk_c9,Z_439)) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48312,c_47997]) ).
tff(c_48449,plain,
! [Z_439] : ( multiply(sk_c6,Z_439) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_48345,c_48429]) ).
tff(c_48469,plain,
! [Z_451] : ( multiply(sk_c6,Z_451) = Z_451 ),
inference(demodulation,[status(thm),theory(equality)],[c_48345,c_48429]) ).
tff(c_48484,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_48469,c_47692]) ).
tff(c_48500,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_48484,c_47687]) ).
tff(c_48344,plain,
inverse(identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_48333,c_133]) ).
tff(c_48508,plain,
sk_c9 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_48500,c_48344]) ).
tff(c_48331,plain,
multiply(sk_c9,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_48312,c_47688]) ).
tff(c_48557,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_48449,c_48508,c_48331]) ).
tff(c_48031,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_48018]) ).
tff(c_48668,plain,
! [X_454,Z_455] : ( multiply(inverse(inverse(X_454)),Z_455) = multiply(X_454,Z_455) ),
inference(superposition,[status(thm),theory(equality)],[c_48225,c_48031]) ).
tff(c_48303,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_48225]) ).
tff(c_48711,plain,
! [X_456] : ( multiply(X_456,identity) = X_456 ),
inference(superposition,[status(thm),theory(equality)],[c_48668,c_48303]) ).
tff(c_56,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_47947,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_38017,c_56]) ).
tff(c_47988,plain,
! [Z_439] : ( multiply(sk_c8,multiply(sk_c9,Z_439)) = multiply(sk_c7,Z_439) ),
inference(superposition,[status(thm),theory(equality)],[c_47947,c_47973]) ).
tff(c_48529,plain,
! [Z_439] : ( multiply(sk_c8,Z_439) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_48449,c_48508,c_2,c_48312,c_47988]) ).
tff(c_48728,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_48711,c_48529]) ).
tff(c_48779,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48557,c_48728]) ).
tff(c_48781,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_44,plain,
( ( inverse(sk_c9) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_48806,plain,
inverse(sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_48781,c_44]) ).
tff(c_48810,plain,
multiply(sk_c7,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48806,c_4]) ).
tff(c_42,plain,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_48821,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_48781,c_42]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c7) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_48843,plain,
multiply(sk_c4,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_48781,c_48]) ).
tff(c_46,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_48789,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_48781,c_46]) ).
tff(c_48793,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48789,c_4]) ).
tff(c_48914,plain,
! [Z_459] : ( multiply(sk_c9,multiply(sk_c4,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_48793,c_48881]) ).
tff(c_49464,plain,
! [Z_470] : ( multiply(sk_c9,multiply(sk_c4,Z_470)) = Z_470 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48914]) ).
tff(c_49479,plain,
multiply(sk_c9,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_48843,c_49464]) ).
tff(c_40,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_48830,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_48781,c_40]) ).
tff(c_48905,plain,
! [Z_459] : ( multiply(sk_c8,multiply(sk_c9,Z_459)) = multiply(sk_c7,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_48830,c_48881]) ).
tff(c_49486,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c7,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_49479,c_48905]) ).
tff(c_49492,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48810,c_48821,c_49486]) ).
tff(c_49494,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_49492,c_49492,c_49479]) ).
tff(c_49511,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49494]) ).
tff(c_48780,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_50,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_48848,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_48781,c_50]) ).
tff(c_48992,plain,
! [X_463,Z_464] : ( multiply(inverse(X_463),multiply(X_463,Z_464)) = Z_464 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48923]) ).
tff(c_49028,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_48848,c_48992]) ).
tff(c_49074,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_48780,c_49028]) ).
tff(c_49084,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_49074,c_48935]) ).
tff(c_49090,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49084]) ).
tff(c_49101,plain,
inverse(sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49090,c_48806]) ).
tff(c_49112,plain,
multiply(identity,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49101,c_4]) ).
tff(c_49119,plain,
multiply(inverse(identity),identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_49112,c_48935]) ).
tff(c_49131,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49119]) ).
tff(c_48938,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(inverse(X3_8),sk_c9) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 )
| ( multiply(sk_c9,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48830,c_48821,c_48806,c_104]) ).
tff(c_48939,plain,
multiply(sk_c9,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_48938]) ).
tff(c_49094,plain,
multiply(sk_c9,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_49090,c_48939]) ).
tff(c_49335,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49131,c_49094]) ).
tff(c_49034,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_48830,c_48992]) ).
tff(c_49356,plain,
multiply(inverse(sk_c8),identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49131,c_49090,c_49034]) ).
tff(c_49363,plain,
! [Z_5] : ( multiply(inverse(sk_c8),multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_49356,c_6]) ).
tff(c_49375,plain,
! [Z_467] : ( multiply(inverse(sk_c8),Z_467) = Z_467 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_49363]) ).
tff(c_49392,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_49375,c_4]) ).
tff(c_49408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49335,c_49392]) ).
tff(c_49410,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_48938]) ).
tff(c_49499,plain,
multiply(identity,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_49492,c_49410]) ).
tff(c_51701,plain,
multiply(identity,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49511,c_49499]) ).
tff(c_51708,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_51701,c_2]) ).
tff(c_49570,plain,
! [X_471,Z_472] : ( multiply(inverse(X_471),multiply(X_471,Z_472)) = Z_472 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48923]) ).
tff(c_49791,plain,
! [X_474,Z_475] : ( multiply(inverse(inverse(X_474)),Z_475) = multiply(X_474,Z_475) ),
inference(superposition,[status(thm),theory(equality)],[c_48935,c_49570]) ).
tff(c_49829,plain,
! [X_474] : ( multiply(X_474,inverse(X_474)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_49791]) ).
tff(c_49603,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_49570]) ).
tff(c_49798,plain,
! [X_474] : ( multiply(X_474,identity) = X_474 ),
inference(superposition,[status(thm),theory(equality)],[c_49791,c_49603]) ).
tff(c_49409,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(inverse(X3_8),sk_c9) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_48938]) ).
tff(c_49517,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( inverse(X4_11) != identity )
| ( multiply(X4_11,identity) != sk_c8 )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != sk_c8 )
| ( multiply(X1_9,sk_c7) != identity )
| ( inverse(X1_9) != identity )
| ( multiply(inverse(X3_8),identity) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49492,c_49492,c_49492,c_49492,c_2,c_49492,c_49492,c_49492,c_49492,c_49409]) ).
tff(c_49518,plain,
! [X3_8] :
( ( multiply(inverse(X3_8),identity) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_49517]) ).
tff(c_51655,plain,
! [X3_8] : ( inverse(X3_8) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_49829,c_49511,c_49798,c_49511,c_49518]) ).
tff(c_49505,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_49492,c_48806]) ).
tff(c_49553,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49511,c_49505]) ).
tff(c_51657,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51655,c_49553]) ).
tff(c_51658,plain,
! [X1_9,X6_7,X4_11] :
( ( multiply(X1_9,sk_c7) != identity )
| ( inverse(X1_9) != identity )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != sk_c8 )
| ( inverse(X4_11) != identity )
| ( multiply(X4_11,identity) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_49517]) ).
tff(c_71661,plain,
! [X1_9,X6_7,X4_11] :
( ( identity != X1_9 )
| ( inverse(X1_9) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51991,c_51708,c_51991,c_51708,c_51991,c_49511,c_51658]) ).
tff(c_71663,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_71661]) ).
tff(c_51692,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49511,c_49505]) ).
tff(c_71665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71663,c_51692]) ).
tff(c_71666,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( identity != X1_9 )
| ( inverse(X1_9) != identity ) ),
inference(splitRight,[status(thm)],[c_71661]) ).
tff(c_71668,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_71666]) ).
tff(c_71670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71668,c_51692]) ).
tff(c_72453,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_71666]) ).
tff(c_72455,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72453,c_51692]) ).
tff(c_72456,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_72457,plain,
inverse(sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_98,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_75572,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_72457,c_98]) ).
tff(c_75611,plain,
! [X_729,Y_730,Z_731] : ( multiply(multiply(X_729,Y_730),Z_731) = multiply(X_729,multiply(Y_730,Z_731)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_75650,plain,
! [X_2,Z_731] : ( multiply(inverse(X_2),multiply(X_2,Z_731)) = multiply(identity,Z_731) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_75611]) ).
tff(c_76535,plain,
! [X_748,Z_749] : ( multiply(inverse(X_748),multiply(X_748,Z_749)) = Z_749 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75650]) ).
tff(c_76562,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_75572,c_76535]) ).
tff(c_76578,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_72456,c_76562]) ).
tff(c_75661,plain,
! [X_2,Z_731] : ( multiply(inverse(X_2),multiply(X_2,Z_731)) = Z_731 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75650]) ).
tff(c_76602,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_76578,c_75661]) ).
tff(c_76608,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_76602]) ).
tff(c_90,plain,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_75546,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_72457,c_90]) ).
tff(c_92,plain,
( ( inverse(sk_c9) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_72483,plain,
inverse(sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_72457,c_92]) ).
tff(c_72487,plain,
multiply(sk_c7,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_72483,c_4]) ).
tff(c_96,plain,
( ( multiply(sk_c4,sk_c7) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_75560,plain,
multiply(sk_c4,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_72457,c_96]) ).
tff(c_94,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_72470,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_72457,c_94]) ).
tff(c_72474,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_72470,c_4]) ).
tff(c_75644,plain,
! [Z_731] : ( multiply(sk_c9,multiply(sk_c4,Z_731)) = multiply(identity,Z_731) ),
inference(superposition,[status(thm),theory(equality)],[c_72474,c_75611]) ).
tff(c_75687,plain,
! [Z_733] : ( multiply(sk_c9,multiply(sk_c4,Z_733)) = Z_733 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75644]) ).
tff(c_75702,plain,
multiply(sk_c9,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_75560,c_75687]) ).
tff(c_72569,plain,
! [X_669,Y_670,Z_671] : ( multiply(multiply(X_669,Y_670),Z_671) = multiply(X_669,multiply(Y_670,Z_671)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_72611,plain,
! [X_2,Z_671] : ( multiply(inverse(X_2),multiply(X_2,Z_671)) = multiply(identity,Z_671) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_72569]) ).
tff(c_72623,plain,
! [X_2,Z_671] : ( multiply(inverse(X_2),multiply(X_2,Z_671)) = Z_671 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72611]) ).
tff(c_74134,plain,
! [X_701,Z_702] : ( multiply(inverse(X_701),multiply(X_701,Z_702)) = Z_702 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72611]) ).
tff(c_74376,plain,
! [X_705,Z_706] : ( multiply(inverse(inverse(X_705)),Z_706) = multiply(X_705,Z_706) ),
inference(superposition,[status(thm),theory(equality)],[c_72623,c_74134]) ).
tff(c_74188,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_74134]) ).
tff(c_74383,plain,
! [X_705] : ( multiply(X_705,identity) = X_705 ),
inference(superposition,[status(thm),theory(equality)],[c_74376,c_74188]) ).
tff(c_72533,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_72457,c_98]) ).
tff(c_72461,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_72456,c_4]) ).
tff(c_72608,plain,
! [Z_671] : ( multiply(sk_c6,multiply(sk_c5,Z_671)) = multiply(identity,Z_671) ),
inference(superposition,[status(thm),theory(equality)],[c_72461,c_72569]) ).
tff(c_73406,plain,
! [Z_687] : ( multiply(sk_c6,multiply(sk_c5,Z_687)) = Z_687 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72608]) ).
tff(c_73427,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_72533,c_73406]) ).
tff(c_74152,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_73427,c_74134]) ).
tff(c_74195,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_74152]) ).
tff(c_72710,plain,
! [X_674,Z_675] : ( multiply(inverse(X_674),multiply(X_674,Z_675)) = Z_675 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72611]) ).
tff(c_72749,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_72533,c_72710]) ).
tff(c_72786,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_72456,c_72749]) ).
tff(c_72793,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_72786,c_72623]) ).
tff(c_72799,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_72793]) ).
tff(c_72811,plain,
multiply(identity,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_72799,c_72487]) ).
tff(c_72903,plain,
multiply(inverse(identity),identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_72811,c_72623]) ).
tff(c_72915,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_72903]) ).
tff(c_88,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_72517,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_72457,c_88]) ).
tff(c_72522,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_72457,c_90]) ).
tff(c_72662,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(inverse(X3_8),sk_c9) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 )
| ( multiply(sk_c9,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72517,c_72522,c_72483,c_104]) ).
tff(c_72663,plain,
multiply(sk_c9,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_72662]) ).
tff(c_72804,plain,
multiply(sk_c9,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_72799,c_72663]) ).
tff(c_73028,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72915,c_72804]) ).
tff(c_72755,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_72517,c_72710]) ).
tff(c_73136,plain,
multiply(inverse(sk_c8),identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_72915,c_72799,c_72755]) ).
tff(c_73143,plain,
! [Z_5] : ( multiply(inverse(sk_c8),multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_73136,c_6]) ).
tff(c_73154,plain,
! [Z_682] : ( multiply(inverse(sk_c8),Z_682) = Z_682 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_73143]) ).
tff(c_73171,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_73154,c_4]) ).
tff(c_73187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73028,c_73171]) ).
tff(c_73189,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_72662]) ).
tff(c_72602,plain,
! [Z_671] : ( multiply(sk_c7,multiply(sk_c9,Z_671)) = multiply(identity,Z_671) ),
inference(superposition,[status(thm),theory(equality)],[c_72487,c_72569]) ).
tff(c_72620,plain,
! [Z_671] : ( multiply(sk_c7,multiply(sk_c9,Z_671)) = Z_671 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72602]) ).
tff(c_73202,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_73189,c_72620]) ).
tff(c_72587,plain,
! [Z_671] : ( multiply(sk_c5,multiply(sk_c6,Z_671)) = multiply(sk_c7,Z_671) ),
inference(superposition,[status(thm),theory(equality)],[c_72533,c_72569]) ).
tff(c_73627,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_73427,c_72587]) ).
tff(c_73633,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_72533,c_73202,c_73627]) ).
tff(c_74203,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_74195,c_73633]) ).
tff(c_72497,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_72501,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_72497,c_4]) ).
tff(c_72625,plain,
! [Z_672] : ( multiply(sk_c7,multiply(sk_c9,Z_672)) = Z_672 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72602]) ).
tff(c_72637,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_72501,c_72625]) ).
tff(c_102,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_72542,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_72457,c_102]) ).
tff(c_73356,plain,
! [Z_686] : ( multiply(sk_c5,multiply(sk_c6,Z_686)) = multiply(sk_c7,Z_686) ),
inference(superposition,[status(thm),theory(equality)],[c_72533,c_72569]) ).
tff(c_73368,plain,
multiply(sk_c7,sk_c9) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_72542,c_73356]) ).
tff(c_73375,plain,
multiply(sk_c5,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_72487,c_73368]) ).
tff(c_73421,plain,
multiply(sk_c6,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_73375,c_73406]) ).
tff(c_73552,plain,
multiply(sk_c7,identity) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_73421,c_72587]) ).
tff(c_73558,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_72637,c_73375,c_73552]) ).
tff(c_72640,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_72474,c_72625]) ).
tff(c_72652,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_72637,c_72640]) ).
tff(c_72511,plain,
multiply(sk_c4,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_72457,c_96]) ).
tff(c_73190,plain,
multiply(sk_c1,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_72652,c_72511]) ).
tff(c_73561,plain,
multiply(identity,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_73558,c_73190]) ).
tff(c_73566,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_73561]) ).
tff(c_73576,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_73566,c_72487]) ).
tff(c_73638,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_73633,c_73202]) ).
tff(c_73660,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_73576,c_73638]) ).
tff(c_73698,plain,
! [X_691,Z_692] : ( multiply(inverse(X_691),multiply(X_691,Z_692)) = Z_692 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72611]) ).
tff(c_73862,plain,
! [X_694,Z_695] : ( multiply(inverse(inverse(X_694)),Z_695) = multiply(X_694,Z_695) ),
inference(superposition,[status(thm),theory(equality)],[c_72623,c_73698]) ).
tff(c_73728,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_73698]) ).
tff(c_73869,plain,
! [X_694] : ( multiply(X_694,identity) = X_694 ),
inference(superposition,[status(thm),theory(equality)],[c_73862,c_73728]) ).
tff(c_73435,plain,
multiply(sk_c7,identity) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_73421,c_72587]) ).
tff(c_73441,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_73375,c_72637,c_73435]) ).
tff(c_73444,plain,
multiply(identity,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_73441,c_73190]) ).
tff(c_73449,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_73444]) ).
tff(c_73460,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_73449,c_72483]) ).
tff(c_72605,plain,
! [Z_671] : ( multiply(sk_c9,multiply(sk_c4,Z_671)) = multiply(identity,Z_671) ),
inference(superposition,[status(thm),theory(equality)],[c_72474,c_72569]) ).
tff(c_72621,plain,
! [Z_671] : ( multiply(sk_c9,multiply(sk_c4,Z_671)) = Z_671 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72605]) ).
tff(c_73225,plain,
! [Z_683] : ( multiply(sk_c9,multiply(sk_c1,Z_683)) = Z_683 ),
inference(demodulation,[status(thm),theory(equality)],[c_72652,c_72621]) ).
tff(c_73240,plain,
multiply(sk_c9,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_73190,c_73225]) ).
tff(c_72593,plain,
! [Z_671] : ( multiply(sk_c8,multiply(sk_c9,Z_671)) = multiply(sk_c7,Z_671) ),
inference(superposition,[status(thm),theory(equality)],[c_72517,c_72569]) ).
tff(c_73277,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c7,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_73240,c_72593]) ).
tff(c_73286,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_72487,c_72522,c_73277]) ).
tff(c_73289,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_73286,c_73286,c_73240]) ).
tff(c_73304,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_73289]) ).
tff(c_73317,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_73304,c_72637]) ).
tff(c_73319,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_73317]) ).
tff(c_73300,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_73286,c_72497]) ).
tff(c_73343,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_73319,c_73300]) ).
tff(c_73188,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(inverse(X3_8),sk_c9) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_72662]) ).
tff(c_73209,plain,
! [X3_8] :
( ( multiply(inverse(X3_8),sk_c9) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_73188]) ).
tff(c_73324,plain,
! [X3_8] :
( ( multiply(inverse(X3_8),identity) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73304,c_73304,c_73286,c_73209]) ).
tff(c_73346,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_73343,c_73324]) ).
tff(c_73354,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73343,c_2,c_2,c_73346]) ).
tff(c_73355,plain,
! [X1_9,X6_7,X4_11] :
( ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_73188]) ).
tff(c_73431,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_73355]) ).
tff(c_73522,plain,
! [X4_689] :
( ( inverse(X4_689) != sk_c7 )
| ( multiply(X4_689,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73449,c_73449,c_73431]) ).
tff(c_73528,plain,
inverse(sk_c7) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_73202,c_73522]) ).
tff(c_73547,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73460,c_73528]) ).
tff(c_73548,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_73355]) ).
tff(c_73635,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73566,c_73566,c_73566,c_73566,c_73566,c_73548]) ).
tff(c_73636,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_73635]) ).
tff(c_74124,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_73660,c_73869,c_73660,c_73660,c_73636]) ).
tff(c_73565,plain,
inverse(identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_73558,c_72497]) ).
tff(c_73609,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_73566,c_73565]) ).
tff(c_73675,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_73660,c_73609]) ).
tff(c_74126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74124,c_73675]) ).
tff(c_74127,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_73635]) ).
tff(c_75541,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_74383,c_74203,c_74195,c_2,c_74195,c_74195,c_74127]) ).
tff(c_73577,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_73566,c_72483]) ).
tff(c_74205,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_74195,c_74195,c_73577]) ).
tff(c_75543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75541,c_74205]) ).
tff(c_75545,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_75553,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_75545,c_40]) ).
tff(c_75742,plain,
! [Z_735] : ( multiply(sk_c8,multiply(sk_c9,Z_735)) = multiply(sk_c7,Z_735) ),
inference(superposition,[status(thm),theory(equality)],[c_75553,c_75611]) ).
tff(c_75754,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c7,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_75702,c_75742]) ).
tff(c_75764,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_75546,c_72487,c_75754]) ).
tff(c_75768,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_75764,c_75764,c_75702]) ).
tff(c_75783,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75768]) ).
tff(c_75717,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(inverse(X3_8),sk_c9) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 )
| ( multiply(sk_c9,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75553,c_75546,c_72483,c_104]) ).
tff(c_75718,plain,
multiply(sk_c9,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_75717]) ).
tff(c_75767,plain,
multiply(identity,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_75764,c_75718]) ).
tff(c_75782,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75767]) ).
tff(c_75800,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_75783,c_75782]) ).
tff(c_75638,plain,
! [Z_731] : ( multiply(sk_c8,multiply(sk_c7,Z_731)) = multiply(sk_c9,Z_731) ),
inference(superposition,[status(thm),theory(equality)],[c_75546,c_75611]) ).
tff(c_75899,plain,
! [Z_738] : ( multiply(sk_c8,Z_738) = Z_738 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75783,c_2,c_75764,c_75638]) ).
tff(c_75981,plain,
! [Z_740] : ( multiply(inverse(sk_c8),Z_740) = Z_740 ),
inference(superposition,[status(thm),theory(equality)],[c_75899,c_75661]) ).
tff(c_75998,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_75981,c_4]) ).
tff(c_76014,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75800,c_75998]) ).
tff(c_76016,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_75717]) ).
tff(c_75641,plain,
! [Z_731] : ( multiply(sk_c7,multiply(sk_c9,Z_731)) = multiply(identity,Z_731) ),
inference(superposition,[status(thm),theory(equality)],[c_72487,c_75611]) ).
tff(c_75658,plain,
! [Z_731] : ( multiply(sk_c7,multiply(sk_c9,Z_731)) = Z_731 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75641]) ).
tff(c_76020,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_76016,c_75658]) ).
tff(c_76624,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_76608,c_76608,c_76020]) ).
tff(c_76627,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_76624]) ).
tff(c_76781,plain,
! [X_753,Z_754] : ( multiply(inverse(inverse(X_753)),Z_754) = multiply(X_753,Z_754) ),
inference(superposition,[status(thm),theory(equality)],[c_75661,c_76535]) ).
tff(c_76571,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_76535]) ).
tff(c_76792,plain,
! [X_753] : ( multiply(X_753,identity) = X_753 ),
inference(superposition,[status(thm),theory(equality)],[c_76781,c_76571]) ).
tff(c_75709,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_75702,c_75658]) ).
tff(c_76136,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_76020,c_75709]) ).
tff(c_76144,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_76136,c_75546]) ).
tff(c_76209,plain,
! [X_742,Z_743] : ( multiply(inverse(X_742),multiply(X_742,Z_743)) = Z_743 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75650]) ).
tff(c_76227,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_76144,c_76209]) ).
tff(c_76273,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_76227]) ).
tff(c_76282,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_76273,c_76273,c_76020]) ).
tff(c_76285,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_76282]) ).
tff(c_76147,plain,
inverse(sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_76136,c_72483]) ).
tff(c_76281,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_76273,c_76147]) ).
tff(c_76309,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_76285,c_76281]) ).
tff(c_76448,plain,
! [X_745] : ( multiply(inverse(inverse(X_745)),identity) = X_745 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_76209]) ).
tff(c_76454,plain,
! [X_745] : ( multiply(inverse(inverse(inverse(X_745))),X_745) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_76448,c_75661]) ).
tff(c_76035,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_76020,c_75709]) ).
tff(c_54,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_75579,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_75545,c_54]) ).
tff(c_76040,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_76035,c_75579]) ).
tff(c_76015,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(inverse(X3_8),sk_c9) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_75717]) ).
tff(c_76034,plain,
! [X3_8] :
( ( multiply(inverse(X3_8),sk_c9) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_76015]) ).
tff(c_76093,plain,
! [X3_741] :
( ( multiply(inverse(X3_741),sk_c8) != sk_c7 )
| ( multiply(X3_741,inverse(X3_741)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76035,c_76034]) ).
tff(c_76099,plain,
( ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_72456,c_76093]) ).
tff(c_76107,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_75572,c_72456,c_76099]) ).
tff(c_76134,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76040,c_76107]) ).
tff(c_76135,plain,
! [X1_9,X6_7,X4_11] :
( ( multiply(X1_9,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_76015]) ).
tff(c_76155,plain,
! [X1_9,X6_7,X4_11] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76136,c_76136,c_76136,c_76136,c_76136,c_76136,c_76136,c_76135]) ).
tff(c_76156,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_76155]) ).
tff(c_76510,plain,
! [X4_747] :
( ( inverse(X4_747) != identity )
| ( multiply(X4_747,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76285,c_76285,c_76285,c_76156]) ).
tff(c_76514,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_76454,c_76510]) ).
tff(c_76533,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76309,c_76309,c_76309,c_76309,c_76514]) ).
tff(c_76534,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_76155]) ).
tff(c_88444,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( identity != X1_9 )
| ( inverse(X1_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76627,c_76792,c_76627,c_76608,c_76792,c_76627,c_76627,c_2,c_76627,c_76627,c_76534]) ).
tff(c_88446,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_88444]) ).
tff(c_76623,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_76608,c_76147]) ).
tff(c_76649,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_76627,c_76623]) ).
tff(c_88448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88446,c_76649]) ).
tff(c_88450,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_88444]) ).
tff(c_88452,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88450,c_76649]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP282-1 : 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
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:16:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 22.19/9.76 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.43/9.86
% 22.43/9.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.71/9.94
% 22.71/9.94 Inference rules
% 22.71/9.94 ----------------------
% 22.71/9.94 #Ref : 0
% 22.71/9.94 #Sup : 21506
% 22.71/9.94 #Fact : 0
% 22.71/9.94 #Define : 0
% 22.71/9.94 #Split : 52
% 22.71/9.94 #Chain : 0
% 22.71/9.94 #Close : 0
% 22.71/9.94
% 22.71/9.94 Ordering : KBO
% 22.71/9.94
% 22.71/9.94 Simplification rules
% 22.71/9.94 ----------------------
% 22.71/9.94 #Subsume : 11
% 22.71/9.94 #Demod : 62665
% 22.71/9.94 #Tautology : 17771
% 22.71/9.94 #SimpNegUnit : 181
% 22.71/9.94 #BackRed : 907
% 22.71/9.94
% 22.71/9.94 #Partial instantiations: 0
% 22.71/9.94 #Strategies tried : 1
% 22.71/9.94
% 22.71/9.94 Timing (in seconds)
% 22.71/9.94 ----------------------
% 22.71/9.94 Preprocessing : 0.54
% 22.71/9.94 Parsing : 0.21
% 22.71/9.94 CNF conversion : 0.03
% 22.71/9.94 Main loop : 8.12
% 22.71/9.94 Inferencing : 2.01
% 22.71/9.94 Reduction : 4.92
% 22.71/9.94 Demodulation : 4.59
% 22.71/9.94 BG Simplification : 0.17
% 22.71/9.94 Subsumption : 0.68
% 22.71/9.94 Abstraction : 0.46
% 22.71/9.94 MUC search : 0.00
% 22.71/9.94 Cooper : 0.00
% 22.71/9.94 Total : 8.86
% 22.71/9.94 Index Insertion : 0.00
% 22.71/9.94 Index Deletion : 0.00
% 22.71/9.94 Index Matching : 0.00
% 22.71/9.94 BG Taut test : 0.00
%------------------------------------------------------------------------------