TSTP Solution File: GRP254-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP254-1 : 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 : n032.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 10:40:40 EDT 2023
% Result : Unsatisfiable 21.10s 9.21s
% Output : CNFRefutation 21.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 71
% Syntax : Number of formulae : 853 ( 658 unt; 15 typ; 0 def)
% Number of atoms : 1203 (1167 equ)
% Maximal formula atoms : 16 ( 1 avg)
% Number of connectives : 749 ( 384 ~; 365 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 438 (; 438 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c12 > sk_c11 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c11,type,
sk_c11: $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(sk_c12,type,
sk_c12: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_239,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_290,axiom,
! [X5,X6,X3,X9,X7,X1,X2,X8,X4] :
( ( multiply(X4,sk_c12) != sk_c11 )
| ( inverse(X4) != sk_c12 )
| ( multiply(X5,sk_c11) != sk_c10 )
| ( inverse(X5) != sk_c11 )
| ( inverse(X6) != sk_c10 )
| ( multiply(X6,sk_c12) != sk_c10 )
| ( multiply(X1,sk_c12) != sk_c11 )
| ( inverse(X1) != sk_c12 )
| ( multiply(X2,sk_c11) != sk_c10 )
| ( inverse(X2) != sk_c11 )
| ( multiply(X7,X3) != sk_c12 )
| ( inverse(X7) != X3 )
| ( multiply(X3,sk_c11) != sk_c12 )
| ( inverse(X8) != X9 )
| ( inverse(X9) != X3 )
| ( multiply(X8,X3) != X9 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_218,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_215,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_230,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_236,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_233,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_242,axiom,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_212,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_64677,plain,
! [X_684,Y_685,Z_686] : ( multiply(multiply(X_684,Y_685),Z_686) = multiply(X_684,multiply(Y_685,Z_686)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_64728,plain,
! [X_2,Z_686] : ( multiply(inverse(X_2),multiply(X_2,Z_686)) = multiply(identity,Z_686) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_64677]) ).
tff(c_64743,plain,
! [X_2,Z_686] : ( multiply(inverse(X_2),multiply(X_2,Z_686)) = Z_686 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64728]) ).
tff(c_91113,plain,
! [X_896,Z_897] : ( multiply(inverse(X_896),multiply(X_896,Z_897)) = Z_897 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64728]) ).
tff(c_91393,plain,
! [X_900,Z_901] : ( multiply(inverse(inverse(X_900)),Z_901) = multiply(X_900,Z_901) ),
inference(superposition,[status(thm),theory(equality)],[c_64743,c_91113]) ).
tff(c_91167,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_91113]) ).
tff(c_91400,plain,
! [X_900] : ( multiply(X_900,identity) = X_900 ),
inference(superposition,[status(thm),theory(equality)],[c_91393,c_91167]) ).
tff(c_61393,plain,
! [X_625,Y_626,Z_627] : ( multiply(multiply(X_625,Y_626),Z_627) = multiply(X_625,multiply(Y_626,Z_627)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_61444,plain,
! [X_2,Z_627] : ( multiply(inverse(X_2),multiply(X_2,Z_627)) = multiply(identity,Z_627) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_61393]) ).
tff(c_61459,plain,
! [X_2,Z_627] : ( multiply(inverse(X_2),multiply(X_2,Z_627)) = Z_627 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61444]) ).
tff(c_63677,plain,
! [X_668,Z_669] : ( multiply(inverse(X_668),multiply(X_668,Z_669)) = Z_669 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61444]) ).
tff(c_64110,plain,
! [X_674,Z_675] : ( multiply(inverse(inverse(X_674)),Z_675) = multiply(X_674,Z_675) ),
inference(superposition,[status(thm),theory(equality)],[c_61459,c_63677]) ).
tff(c_63728,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_63677]) ).
tff(c_64117,plain,
! [X_674] : ( multiply(X_674,identity) = X_674 ),
inference(superposition,[status(thm),theory(equality)],[c_64110,c_63728]) ).
tff(c_24,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_193,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_38,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_171,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_175,plain,
multiply(sk_c12,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_171,c_4]) ).
tff(c_47149,plain,
! [X_371,Y_372,Z_373] : ( multiply(multiply(X_371,Y_372),Z_373) = multiply(X_371,multiply(Y_372,Z_373)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_47200,plain,
! [Z_373] : ( multiply(sk_c12,multiply(sk_c1,Z_373)) = multiply(identity,Z_373) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_47149]) ).
tff(c_47227,plain,
! [Z_374] : ( multiply(sk_c12,multiply(sk_c1,Z_374)) = Z_374 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47200]) ).
tff(c_47239,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_193,c_47227]) ).
tff(c_47360,plain,
! [Z_380] : ( multiply(sk_c1,multiply(sk_c12,Z_380)) = multiply(sk_c11,Z_380) ),
inference(superposition,[status(thm),theory(equality)],[c_193,c_47149]) ).
tff(c_47375,plain,
multiply(sk_c11,sk_c11) = multiply(sk_c1,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_47239,c_47360]) ).
tff(c_47388,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_193,c_47375]) ).
tff(c_47209,plain,
! [X_2,Z_373] : ( multiply(inverse(X_2),multiply(X_2,Z_373)) = multiply(identity,Z_373) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47149]) ).
tff(c_48926,plain,
! [X_408,Z_409] : ( multiply(inverse(X_408),multiply(X_408,Z_409)) = Z_409 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47209]) ).
tff(c_48974,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_47388,c_48926]) ).
tff(c_49022,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48974]) ).
tff(c_74,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_157,plain,
inverse(sk_c2) = sk_c11,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_49047,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49022,c_157]) ).
tff(c_49085,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49047,c_4]) ).
tff(c_47225,plain,
! [X_2,Z_373] : ( multiply(inverse(X_2),multiply(X_2,Z_373)) = Z_373 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47209]) ).
tff(c_49218,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_49085,c_47225]) ).
tff(c_49230,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49218]) ).
tff(c_250,plain,
! [X_17,Y_18,Z_19] : ( multiply(multiply(X_17,Y_18),Z_19) = multiply(X_17,multiply(Y_18,Z_19)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_283,plain,
! [X_2,Z_19] : ( multiply(inverse(X_2),multiply(X_2,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_250]) ).
tff(c_421,plain,
! [X_25,Z_26] : ( multiply(inverse(X_25),multiply(X_25,Z_26)) = Z_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_283]) ).
tff(c_294,plain,
! [X_2,Z_19] : ( multiply(inverse(X_2),multiply(X_2,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_283]) ).
tff(c_21583,plain,
! [X_193,Z_194] : ( multiply(inverse(inverse(X_193)),Z_194) = multiply(X_193,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_421,c_294]) ).
tff(c_487,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_421]) ).
tff(c_21590,plain,
! [X_193] : ( multiply(X_193,identity) = X_193 ),
inference(superposition,[status(thm),theory(equality)],[c_21583,c_487]) ).
tff(c_274,plain,
! [Z_19] : ( multiply(sk_c12,multiply(sk_c1,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_250]) ).
tff(c_296,plain,
! [Z_20] : ( multiply(sk_c12,multiply(sk_c1,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_274]) ).
tff(c_308,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_193,c_296]) ).
tff(c_451,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_308,c_421]) ).
tff(c_495,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_451]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_206,plain,
multiply(sk_c2,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_161,plain,
multiply(sk_c11,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_157,c_4]) ).
tff(c_277,plain,
! [Z_19] : ( multiply(sk_c11,multiply(sk_c2,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_250]) ).
tff(c_319,plain,
! [Z_21] : ( multiply(sk_c11,multiply(sk_c2,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_277]) ).
tff(c_331,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_206,c_319]) ).
tff(c_445,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_331,c_421]) ).
tff(c_494,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_445]) ).
tff(c_124,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_200,plain,
multiply(sk_c3,sk_c12) = sk_c10,
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_98,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_145,plain,
inverse(sk_c3) = sk_c10,
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_149,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_145,c_4]) ).
tff(c_280,plain,
! [Z_19] : ( multiply(sk_c10,multiply(sk_c3,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_250]) ).
tff(c_398,plain,
! [Z_24] : ( multiply(sk_c10,multiply(sk_c3,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_280]) ).
tff(c_410,plain,
multiply(sk_c10,sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_200,c_398]) ).
tff(c_502,plain,
multiply(identity,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_494,c_494,c_410]) ).
tff(c_509,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_502]) ).
tff(c_508,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_494,c_145]) ).
tff(c_538,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_508,c_4]) ).
tff(c_545,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_538,c_294]) ).
tff(c_557,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_545]) ).
tff(c_561,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_557,c_508]) ).
tff(c_729,plain,
! [X_29,Z_30] : ( multiply(inverse(inverse(X_29)),Z_30) = multiply(X_29,Z_30) ),
inference(superposition,[status(thm),theory(equality)],[c_421,c_294]) ).
tff(c_736,plain,
! [X_29] : ( multiply(X_29,identity) = X_29 ),
inference(superposition,[status(thm),theory(equality)],[c_729,c_487]) ).
tff(c_750,plain,
! [X_29] : ( multiply(X_29,inverse(X_29)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_729,c_4]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_992,plain,
! [X_36,Y_37,Z_38] : ( multiply(inverse(multiply(X_36,Y_37)),multiply(X_36,multiply(Y_37,Z_38))) = Z_38 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_421]) ).
tff(c_1071,plain,
! [X_36,X_2] : ( multiply(inverse(multiply(X_36,inverse(X_2))),multiply(X_36,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_992]) ).
tff(c_1104,plain,
! [X_36,X_2] : ( multiply(inverse(multiply(X_36,inverse(X_2))),X_36) = X_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_736,c_1071]) ).
tff(c_772,plain,
! [X_31] : ( multiply(X_31,identity) = X_31 ),
inference(superposition,[status(thm),theory(equality)],[c_729,c_487]) ).
tff(c_424,plain,
! [X_25,Z_26] : ( multiply(inverse(inverse(X_25)),Z_26) = multiply(X_25,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_421,c_294]) ).
tff(c_779,plain,
! [X_25] : ( inverse(inverse(X_25)) = multiply(X_25,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_772,c_424]) ).
tff(c_824,plain,
! [X_25] : ( inverse(inverse(X_25)) = X_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_736,c_779]) ).
tff(c_1114,plain,
! [X_39,X_40] : ( multiply(inverse(multiply(X_39,inverse(X_40))),X_39) = X_40 ),
inference(demodulation,[status(thm),theory(equality)],[c_736,c_1071]) ).
tff(c_743,plain,
! [X_29,Z_19] : ( multiply(X_29,multiply(inverse(X_29),Z_19)) = Z_19 ),
inference(superposition,[status(thm),theory(equality)],[c_729,c_294]) ).
tff(c_1187,plain,
! [X_41,X_42] : ( multiply(multiply(X_41,inverse(X_42)),X_42) = X_41 ),
inference(superposition,[status(thm),theory(equality)],[c_1114,c_743]) ).
tff(c_1278,plain,
! [X_43,X_44] : ( multiply(multiply(X_43,X_44),inverse(X_44)) = X_43 ),
inference(superposition,[status(thm),theory(equality)],[c_824,c_1187]) ).
tff(c_1317,plain,
! [X_36,X_2] : ( inverse(multiply(X_36,inverse(X_2))) = multiply(X_2,inverse(X_36)) ),
inference(superposition,[status(thm),theory(equality)],[c_1104,c_1278]) ).
tff(c_128,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_290]) ).
tff(c_366,plain,
! [X4_23] :
( ( inverse(X4_23) != sk_c12 )
| ( multiply(X4_23,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_376,plain,
inverse(sk_c1) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_193,c_366]) ).
tff(c_389,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_171,c_376]) ).
tff(c_390,plain,
! [X5_6,X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_514,plain,
! [X5_6,X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != identity )
| ( multiply(X6_7,sk_c12) != identity )
| ( inverse(X6_7) != identity )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != identity )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_494,c_494,c_494,c_494,c_390]) ).
tff(c_515,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_514]) ).
tff(c_21223,plain,
! [X7_187,X8_188] :
( ( multiply(X7_187,inverse(X8_188)) != inverse(X7_187) )
| ( multiply(X8_188,inverse(X7_187)) != inverse(X8_188) )
| ( inverse(X7_187) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_750,c_509,c_736,c_509,c_495,c_1317,c_515]) ).
tff(c_21284,plain,
! [X8_188] :
( ( inverse(identity) != inverse(X8_188) )
| ( multiply(X8_188,inverse(identity)) != inverse(X8_188) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_21223]) ).
tff(c_21310,plain,
! [X8_189] :
( ( inverse(X8_189) != identity )
| ( inverse(X8_189) != X8_189 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_561,c_736,c_561,c_561,c_21284]) ).
tff(c_21322,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_561,c_21310]) ).
tff(c_21331,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_561,c_21322]) ).
tff(c_21332,plain,
! [X2_12,X1_11,X6_7,X5_6] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != identity )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(X6_7,sk_c12) != identity )
| ( inverse(X6_7) != identity )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != identity ) ),
inference(splitRight,[status(thm)],[c_514]) ).
tff(c_44770,plain,
! [X2_12,X1_11,X6_7,X5_6] :
( ( inverse(X2_12) != identity )
| ( identity != X2_12 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21590,c_495,c_495,c_21590,c_509,c_21590,c_509,c_495,c_509,c_21590,c_495,c_495,c_21332]) ).
tff(c_44772,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_44770]) ).
tff(c_507,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_494,c_149]) ).
tff(c_21458,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_507,c_2]) ).
tff(c_21468,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21458,c_508]) ).
tff(c_44774,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44772,c_21468]) ).
tff(c_44775,plain,
! [X6_7,X1_11,X2_12] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X2_12) != identity )
| ( identity != X2_12 ) ),
inference(splitRight,[status(thm)],[c_44770]) ).
tff(c_45932,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_44775]) ).
tff(c_45934,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45932,c_21468]) ).
tff(c_45935,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_44775]) ).
tff(c_45937,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_45935]) ).
tff(c_45939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45937,c_21468]) ).
tff(c_47030,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_45935]) ).
tff(c_47032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47030,c_21468]) ).
tff(c_47034,plain,
multiply(sk_c2,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_47129,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_47034,c_52]) ).
tff(c_47033,plain,
inverse(sk_c5) = sk_c11,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_47038,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47033,c_4]) ).
tff(c_47191,plain,
! [Z_373] : ( multiply(sk_c11,multiply(sk_c5,Z_373)) = multiply(identity,Z_373) ),
inference(superposition,[status(thm),theory(equality)],[c_47038,c_47149]) ).
tff(c_48410,plain,
! [Z_399] : ( multiply(sk_c11,multiply(sk_c5,Z_399)) = Z_399 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47191]) ).
tff(c_48422,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_47129,c_48410]) ).
tff(c_48965,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_48422,c_48926]) ).
tff(c_49021,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48965]) ).
tff(c_49034,plain,
multiply(sk_c2,sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_49021,c_47034]) ).
tff(c_49100,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_49022,c_49034]) ).
tff(c_49234,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_49230,c_49100]) ).
tff(c_49239,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49234]) ).
tff(c_49241,plain,
multiply(sk_c3,sk_c12) != sk_c10,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_112,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_52379,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_49241,c_112]) ).
tff(c_114,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_52330,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_49241,c_114]) ).
tff(c_52334,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52330,c_4]) ).
tff(c_52398,plain,
! [X_459,Y_460,Z_461] : ( multiply(multiply(X_459,Y_460),Z_461) = multiply(X_459,multiply(Y_460,Z_461)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_52428,plain,
! [Z_461] : ( multiply(sk_c11,multiply(sk_c5,Z_461)) = multiply(identity,Z_461) ),
inference(superposition,[status(thm),theory(equality)],[c_52334,c_52398]) ).
tff(c_52583,plain,
! [Z_468] : ( multiply(sk_c11,multiply(sk_c5,Z_468)) = Z_468 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52428]) ).
tff(c_52595,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_52379,c_52583]) ).
tff(c_52455,plain,
! [X_2,Z_461] : ( multiply(inverse(X_2),multiply(X_2,Z_461)) = multiply(identity,Z_461) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_52398]) ).
tff(c_52968,plain,
! [X_478,Z_479] : ( multiply(inverse(X_478),multiply(X_478,Z_479)) = Z_479 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52455]) ).
tff(c_53043,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_52595,c_52968]) ).
tff(c_53148,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53043]) ).
tff(c_53210,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53148,c_149]) ).
tff(c_52471,plain,
! [X_2,Z_461] : ( multiply(inverse(X_2),multiply(X_2,Z_461)) = Z_461 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52455]) ).
tff(c_53530,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_53210,c_52471]) ).
tff(c_53542,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53530]) ).
tff(c_110,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_49253,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_49241,c_110]) ).
tff(c_108,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_49350,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_49241,c_108]) ).
tff(c_49362,plain,
! [X_412,Y_413,Z_414] : ( multiply(multiply(X_412,Y_413),Z_414) = multiply(X_412,multiply(Y_413,Z_414)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_49413,plain,
! [Z_414] : ( multiply(sk_c12,multiply(sk_c1,Z_414)) = multiply(identity,Z_414) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_49362]) ).
tff(c_49440,plain,
! [Z_415] : ( multiply(sk_c12,multiply(sk_c1,Z_415)) = Z_415 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49413]) ).
tff(c_49452,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_193,c_49440]) ).
tff(c_51120,plain,
! [Z_446] : ( multiply(sk_c1,multiply(sk_c12,Z_446)) = multiply(sk_c11,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_193,c_49362]) ).
tff(c_51138,plain,
multiply(sk_c11,sk_c11) = multiply(sk_c1,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_49452,c_51120]) ).
tff(c_51151,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_193,c_51138]) ).
tff(c_49422,plain,
! [X_2,Z_414] : ( multiply(inverse(X_2),multiply(X_2,Z_414)) = multiply(identity,Z_414) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_49362]) ).
tff(c_52091,plain,
! [X_455,Z_456] : ( multiply(inverse(X_455),multiply(X_455,Z_456)) = Z_456 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49422]) ).
tff(c_52124,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_51151,c_52091]) ).
tff(c_52149,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52124]) ).
tff(c_51631,plain,
! [X_452,Z_453] : ( multiply(inverse(X_452),multiply(X_452,Z_453)) = Z_453 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49422]) ).
tff(c_51688,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_51151,c_51631]) ).
tff(c_51775,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51688]) ).
tff(c_58,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_49274,plain,
multiply(sk_c2,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_49416,plain,
! [Z_414] : ( multiply(sk_c11,multiply(sk_c2,Z_414)) = multiply(identity,Z_414) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_49362]) ).
tff(c_49476,plain,
! [Z_417] : ( multiply(sk_c11,multiply(sk_c2,Z_417)) = Z_417 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49416]) ).
tff(c_49488,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_49274,c_49476]) ).
tff(c_51718,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_49488,c_51631]) ).
tff(c_51780,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51718]) ).
tff(c_118,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_49311,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_49241,c_118]) ).
tff(c_49315,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49311,c_4]) ).
tff(c_122,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_49279,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_49241,c_122]) ).
tff(c_49283,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49279,c_4]) ).
tff(c_49398,plain,
! [Z_414] : ( multiply(sk_c7,multiply(sk_c8,Z_414)) = multiply(identity,Z_414) ),
inference(superposition,[status(thm),theory(equality)],[c_49283,c_49362]) ).
tff(c_49605,plain,
! [Z_423] : ( multiply(sk_c7,multiply(sk_c8,Z_423)) = Z_423 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49398]) ).
tff(c_49240,plain,
inverse(sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_49245,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49240,c_4]) ).
tff(c_49407,plain,
! [Z_414] : ( multiply(sk_c9,multiply(sk_c7,Z_414)) = multiply(identity,Z_414) ),
inference(superposition,[status(thm),theory(equality)],[c_49245,c_49362]) ).
tff(c_49434,plain,
! [Z_414] : ( multiply(sk_c9,multiply(sk_c7,Z_414)) = Z_414 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49407]) ).
tff(c_51046,plain,
! [Z_445] : ( multiply(sk_c9,Z_445) = multiply(sk_c8,Z_445) ),
inference(superposition,[status(thm),theory(equality)],[c_49605,c_49434]) ).
tff(c_51100,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49315,c_51046]) ).
tff(c_49432,plain,
! [Z_414] : ( multiply(sk_c7,multiply(sk_c8,Z_414)) = Z_414 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49398]) ).
tff(c_51188,plain,
multiply(sk_c7,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_51100,c_49432]) ).
tff(c_51103,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49245,c_51046]) ).
tff(c_51199,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_51103,c_49432]) ).
tff(c_51397,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_51188,c_51199]) ).
tff(c_120,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_49356,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_49241,c_120]) ).
tff(c_51070,plain,
multiply(sk_c8,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_51046,c_49356]) ).
tff(c_51166,plain,
multiply(sk_c7,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_51070,c_49432]) ).
tff(c_51399,plain,
multiply(sk_c6,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_51397,c_51166]) ).
tff(c_49611,plain,
! [Z_423] : ( multiply(sk_c9,Z_423) = multiply(sk_c8,Z_423) ),
inference(superposition,[status(thm),theory(equality)],[c_49605,c_49434]) ).
tff(c_116,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_49336,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_49241,c_116]) ).
tff(c_49386,plain,
! [Z_414] : ( multiply(sk_c6,multiply(sk_c9,Z_414)) = multiply(sk_c12,Z_414) ),
inference(superposition,[status(thm),theory(equality)],[c_49336,c_49362]) ).
tff(c_51541,plain,
! [Z_451] : ( multiply(sk_c6,multiply(sk_c8,Z_451)) = multiply(sk_c12,Z_451) ),
inference(demodulation,[status(thm),theory(equality)],[c_49611,c_49386]) ).
tff(c_51565,plain,
multiply(sk_c6,sk_c12) = multiply(sk_c12,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_51070,c_51541]) ).
tff(c_51575,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_51399,c_49452,c_51565]) ).
tff(c_49292,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_49241,c_114]) ).
tff(c_49342,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_49241,c_112]) ).
tff(c_49949,plain,
! [X_431,Z_432] : ( multiply(inverse(X_431),multiply(X_431,Z_432)) = Z_432 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49422]) ).
tff(c_50030,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_49488,c_49949]) ).
tff(c_50137,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50030]) ).
tff(c_50176,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50137,c_145]) ).
tff(c_50296,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50176,c_4]) ).
tff(c_49438,plain,
! [X_2,Z_414] : ( multiply(inverse(X_2),multiply(X_2,Z_414)) = Z_414 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49422]) ).
tff(c_50324,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_50296,c_49438]) ).
tff(c_50336,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50324]) ).
tff(c_50340,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50336,c_50176]) ).
tff(c_49581,plain,
! [Z_422] : ( multiply(sk_c9,multiply(sk_c7,Z_422)) = Z_422 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49407]) ).
tff(c_49593,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_49283,c_49581]) ).
tff(c_49794,plain,
! [Z_429] : ( multiply(sk_c9,Z_429) = multiply(sk_c8,Z_429) ),
inference(superposition,[status(thm),theory(equality)],[c_49605,c_49434]) ).
tff(c_49842,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_49593,c_49794]) ).
tff(c_49392,plain,
! [Z_414] : ( multiply(sk_c9,multiply(sk_c6,Z_414)) = multiply(identity,Z_414) ),
inference(superposition,[status(thm),theory(equality)],[c_49315,c_49362]) ).
tff(c_49642,plain,
! [Z_424] : ( multiply(sk_c9,multiply(sk_c6,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49392]) ).
tff(c_49654,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_49336,c_49642]) ).
tff(c_50003,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_49654,c_49949]) ).
tff(c_50133,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50003]) ).
tff(c_49803,plain,
multiply(sk_c8,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_49794,c_49654]) ).
tff(c_50238,plain,
multiply(sk_c8,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_50133,c_49803]) ).
tff(c_50247,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_49842,c_50238]) ).
tff(c_50039,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_49452,c_49949]) ).
tff(c_50138,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50039]) ).
tff(c_50191,plain,
multiply(sk_c9,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_50138,c_49356]) ).
tff(c_50580,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49842,c_50247,c_50133,c_50191]) ).
tff(c_50586,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50580,c_50247]) ).
tff(c_49533,plain,
! [X4_420] :
( ( inverse(X4_420) != sk_c12 )
| ( multiply(X4_420,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_49540,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_49350,c_49533]) ).
tff(c_49555,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49253,c_49540]) ).
tff(c_49556,plain,
! [X5_6,X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_49741,plain,
! [X8_427,X7_428] :
( ( inverse(multiply(X8_427,inverse(X7_428))) != inverse(X7_428) )
| ( multiply(X8_427,inverse(X7_428)) != inverse(X8_427) )
| ( multiply(inverse(X7_428),sk_c11) != sk_c12 )
| ( multiply(X7_428,inverse(X7_428)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_49556]) ).
tff(c_49746,plain,
! [X8_427] :
( ( inverse(multiply(X8_427,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_427,inverse(sk_c6)) != inverse(X8_427) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_49311,c_49741]) ).
tff(c_49769,plain,
! [X8_427] :
( ( inverse(multiply(X8_427,sk_c9)) != sk_c9 )
| ( multiply(X8_427,sk_c9) != inverse(X8_427) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49336,c_49311,c_49356,c_49311,c_49311,c_49311,c_49746]) ).
tff(c_50684,plain,
! [X8_438] :
( ( inverse(multiply(X8_438,identity)) != identity )
| ( multiply(X8_438,identity) != inverse(X8_438) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50586,c_50586,c_50586,c_49769]) ).
tff(c_50692,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_50684]) ).
tff(c_50700,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50340,c_50340,c_4,c_50340,c_50692]) ).
tff(c_50701,plain,
! [X2_12,X1_11,X6_7,X5_6] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_49556]) ).
tff(c_50992,plain,
! [X5_444] :
( ( inverse(X5_444) != sk_c11 )
| ( multiply(X5_444,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_50701]) ).
tff(c_51015,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_49342,c_50992]) ).
tff(c_51032,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49292,c_51015]) ).
tff(c_51033,plain,
! [X6_7,X1_11,X2_12] :
( ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_50701]) ).
tff(c_51275,plain,
! [X2_448] :
( ( inverse(X2_448) != sk_c11 )
| ( multiply(X2_448,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_51033]) ).
tff(c_51301,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_49342,c_51275]) ).
tff(c_51319,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49292,c_51301]) ).
tff(c_51320,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_51033]) ).
tff(c_51475,plain,
! [X6_450] :
( ( multiply(X6_450,sk_c12) != sk_c10 )
| ( inverse(X6_450) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_51320]) ).
tff(c_51495,plain,
( ( sk_c11 != sk_c10 )
| ( inverse(sk_c1) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_193,c_51475]) ).
tff(c_51507,plain,
( ( sk_c11 != sk_c10 )
| ( sk_c12 != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171,c_51495]) ).
tff(c_51508,plain,
sk_c12 != sk_c10,
inference(splitLeft,[status(thm)],[c_51507]) ).
tff(c_51580,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_51575,c_51508]) ).
tff(c_51802,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_51780,c_51580]) ).
tff(c_51847,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_51775,c_51802]) ).
tff(c_51849,plain,
sk_c12 = sk_c10,
inference(splitRight,[status(thm)],[c_51507]) ).
tff(c_51860,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_51849,c_49336]) ).
tff(c_126,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_49331,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_49241,c_126]) ).
tff(c_51405,plain,
multiply(sk_c8,sk_c9) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_51397,c_49331]) ).
tff(c_49389,plain,
! [Z_414] : ( multiply(sk_c8,multiply(sk_c9,Z_414)) = multiply(sk_c7,Z_414) ),
inference(superposition,[status(thm),theory(equality)],[c_49331,c_49362]) ).
tff(c_51983,plain,
! [Z_454] : ( multiply(sk_c8,multiply(sk_c8,Z_454)) = multiply(sk_c6,Z_454) ),
inference(demodulation,[status(thm),theory(equality)],[c_49611,c_51397,c_49389]) ).
tff(c_52007,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_51405,c_51983]) ).
tff(c_52019,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51860,c_51100,c_52007]) ).
tff(c_51848,plain,
sk_c11 != sk_c10,
inference(splitRight,[status(thm)],[c_51507]) ).
tff(c_52051,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_52019,c_51848]) ).
tff(c_52161,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52149,c_52051]) ).
tff(c_52270,plain,
! [X1_458] :
( ( inverse(X1_458) != sk_c12 )
| ( multiply(X1_458,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_51320]) ).
tff(c_52287,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_49350,c_52270]) ).
tff(c_52304,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49253,c_52287]) ).
tff(c_52306,plain,
multiply(sk_c2,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_56,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_52369,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_52306,c_56]) ).
tff(c_52305,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_52310,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52305,c_4]) ).
tff(c_52434,plain,
! [Z_461] : ( multiply(sk_c9,multiply(sk_c6,Z_461)) = multiply(identity,Z_461) ),
inference(superposition,[status(thm),theory(equality)],[c_52310,c_52398]) ).
tff(c_52647,plain,
! [Z_471] : ( multiply(sk_c9,multiply(sk_c6,Z_471)) = Z_471 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52434]) ).
tff(c_52659,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_52369,c_52647]) ).
tff(c_53028,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_52659,c_52968]) ).
tff(c_53145,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53028]) ).
tff(c_53200,plain,
multiply(sk_c3,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_53145,c_49241]) ).
tff(c_53591,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53542,c_53148,c_53200]) ).
tff(c_53592,plain,
inverse(sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_53597,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53592,c_4]) ).
tff(c_53593,plain,
multiply(sk_c1,sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_26,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_54807,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_53593,c_26]) ).
tff(c_16,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_54793,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_53593,c_16]) ).
tff(c_18,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_53628,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_53593,c_18]) ).
tff(c_53632,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53628,c_4]) ).
tff(c_54827,plain,
! [X_506,Y_507,Z_508] : ( multiply(multiply(X_506,Y_507),Z_508) = multiply(X_506,multiply(Y_507,Z_508)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_54863,plain,
! [Z_508] : ( multiply(sk_c9,multiply(sk_c6,Z_508)) = multiply(identity,Z_508) ),
inference(superposition,[status(thm),theory(equality)],[c_53632,c_54827]) ).
tff(c_55185,plain,
! [Z_521] : ( multiply(sk_c9,multiply(sk_c6,Z_521)) = Z_521 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54863]) ).
tff(c_55200,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_54793,c_55185]) ).
tff(c_54845,plain,
! [Z_508] : ( multiply(sk_c8,multiply(sk_c9,Z_508)) = multiply(sk_c7,Z_508) ),
inference(superposition,[status(thm),theory(equality)],[c_54807,c_54827]) ).
tff(c_55207,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c7,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_55200,c_54845]) ).
tff(c_55213,plain,
multiply(sk_c7,sk_c12) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_54807,c_55207]) ).
tff(c_54872,plain,
! [Z_508] : ( multiply(sk_c9,multiply(sk_c7,Z_508)) = multiply(identity,Z_508) ),
inference(superposition,[status(thm),theory(equality)],[c_53597,c_54827]) ).
tff(c_54896,plain,
! [Z_508] : ( multiply(sk_c9,multiply(sk_c7,Z_508)) = Z_508 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54872]) ).
tff(c_55218,plain,
multiply(sk_c9,sk_c7) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_55213,c_54896]) ).
tff(c_55224,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53597,c_55218]) ).
tff(c_55241,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55224,c_171]) ).
tff(c_55302,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55241,c_4]) ).
tff(c_54884,plain,
! [X_2,Z_508] : ( multiply(inverse(X_2),multiply(X_2,Z_508)) = multiply(identity,Z_508) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_54827]) ).
tff(c_54900,plain,
! [X_2,Z_508] : ( multiply(inverse(X_2),multiply(X_2,Z_508)) = Z_508 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54884]) ).
tff(c_55576,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_55302,c_54900]) ).
tff(c_55588,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55576]) ).
tff(c_53623,plain,
multiply(sk_c3,sk_c12) = sk_c10,
inference(splitLeft,[status(thm)],[c_114]) ).
tff(c_62,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_53658,plain,
multiply(sk_c2,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_53721,plain,
! [X_484,Y_485,Z_486] : ( multiply(multiply(X_484,Y_485),Z_486) = multiply(X_484,multiply(Y_485,Z_486)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_53775,plain,
! [Z_486] : ( multiply(sk_c11,multiply(sk_c2,Z_486)) = multiply(identity,Z_486) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_53721]) ).
tff(c_53944,plain,
! [Z_494] : ( multiply(sk_c11,multiply(sk_c2,Z_494)) = Z_494 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53775]) ).
tff(c_53956,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_53658,c_53944]) ).
tff(c_53781,plain,
! [X_2,Z_486] : ( multiply(inverse(X_2),multiply(X_2,Z_486)) = multiply(identity,Z_486) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53721]) ).
tff(c_54213,plain,
! [X_500,Z_501] : ( multiply(inverse(X_500),multiply(X_500,Z_501)) = Z_501 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53781]) ).
tff(c_54273,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_53956,c_54213]) ).
tff(c_54346,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54273]) ).
tff(c_53778,plain,
! [Z_486] : ( multiply(sk_c10,multiply(sk_c3,Z_486)) = multiply(identity,Z_486) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_53721]) ).
tff(c_53896,plain,
! [Z_492] : ( multiply(sk_c10,multiply(sk_c3,Z_492)) = Z_492 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53778]) ).
tff(c_53908,plain,
multiply(sk_c10,sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_53623,c_53896]) ).
tff(c_54039,plain,
! [Z_497] : ( multiply(sk_c2,multiply(sk_c11,Z_497)) = multiply(sk_c10,Z_497) ),
inference(superposition,[status(thm),theory(equality)],[c_53658,c_53721]) ).
tff(c_54054,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_53956,c_54039]) ).
tff(c_54067,plain,
sk_c12 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_53908,c_53658,c_54054]) ).
tff(c_54081,plain,
inverse(sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_54067,c_171]) ).
tff(c_54363,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54346,c_54081]) ).
tff(c_54447,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54363,c_4]) ).
tff(c_53797,plain,
! [X_2,Z_486] : ( multiply(inverse(X_2),multiply(X_2,Z_486)) = Z_486 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53781]) ).
tff(c_54694,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_54447,c_53797]) ).
tff(c_54706,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54694]) ).
tff(c_8,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_53709,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_53593,c_8]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_53605,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_53593,c_10]) ).
tff(c_53609,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53605,c_4]) ).
tff(c_53766,plain,
! [Z_486] : ( multiply(sk_c12,multiply(sk_c4,Z_486)) = multiply(identity,Z_486) ),
inference(superposition,[status(thm),theory(equality)],[c_53609,c_53721]) ).
tff(c_53978,plain,
! [Z_495] : ( multiply(sk_c12,multiply(sk_c4,Z_495)) = Z_495 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53766]) ).
tff(c_53993,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_53709,c_53978]) ).
tff(c_53763,plain,
! [Z_486] : ( multiply(sk_c3,multiply(sk_c12,Z_486)) = multiply(sk_c10,Z_486) ),
inference(superposition,[status(thm),theory(equality)],[c_53623,c_53721]) ).
tff(c_54000,plain,
multiply(sk_c3,sk_c12) = multiply(sk_c10,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_53993,c_53763]) ).
tff(c_54006,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_53623,c_54000]) ).
tff(c_54270,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_54006,c_54213]) ).
tff(c_54345,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54270]) ).
tff(c_54079,plain,
multiply(sk_c1,sk_c10) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_54067,c_53593]) ).
tff(c_54357,plain,
multiply(sk_c1,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_54346,c_54079]) ).
tff(c_54759,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54706,c_54345,c_54357]) ).
tff(c_54761,plain,
multiply(sk_c2,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_54802,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_54761,c_48]) ).
tff(c_54869,plain,
! [Z_508] : ( multiply(sk_c12,multiply(sk_c4,Z_508)) = multiply(identity,Z_508) ),
inference(superposition,[status(thm),theory(equality)],[c_53609,c_54827]) ).
tff(c_55096,plain,
! [Z_518] : ( multiply(sk_c12,multiply(sk_c4,Z_518)) = Z_518 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54869]) ).
tff(c_55111,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_54802,c_55096]) ).
tff(c_54866,plain,
! [Z_508] : ( multiply(sk_c3,multiply(sk_c12,Z_508)) = multiply(sk_c10,Z_508) ),
inference(superposition,[status(thm),theory(equality)],[c_53623,c_54827]) ).
tff(c_55118,plain,
multiply(sk_c3,sk_c12) = multiply(sk_c10,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_55111,c_54866]) ).
tff(c_55124,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_53623,c_55118]) ).
tff(c_55363,plain,
! [X_524,Z_525] : ( multiply(inverse(X_524),multiply(X_524,Z_525)) = Z_525 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54884]) ).
tff(c_55399,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_55124,c_55363]) ).
tff(c_55450,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55399]) ).
tff(c_55239,plain,
multiply(sk_c1,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_55224,c_53593]) ).
tff(c_55624,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55588,c_55450,c_55239]) ).
tff(c_55626,plain,
multiply(sk_c3,sk_c12) != sk_c10,
inference(splitRight,[status(thm)],[c_114]) ).
tff(c_55695,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_55626,c_108]) ).
tff(c_55730,plain,
! [X_528,Y_529,Z_530] : ( multiply(multiply(X_528,Y_529),Z_530) = multiply(X_528,multiply(Y_529,Z_530)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_55772,plain,
! [Z_530] : ( multiply(sk_c12,multiply(sk_c4,Z_530)) = multiply(identity,Z_530) ),
inference(superposition,[status(thm),theory(equality)],[c_53609,c_55730]) ).
tff(c_55964,plain,
! [Z_539] : ( multiply(sk_c12,multiply(sk_c4,Z_539)) = Z_539 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55772]) ).
tff(c_55976,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_55695,c_55964]) ).
tff(c_57718,plain,
! [Z_565] : ( multiply(sk_c4,multiply(sk_c12,Z_565)) = multiply(sk_c11,Z_565) ),
inference(superposition,[status(thm),theory(equality)],[c_55695,c_55730]) ).
tff(c_57733,plain,
multiply(sk_c4,sk_c12) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_55976,c_57718]) ).
tff(c_57749,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_55695,c_57733]) ).
tff(c_55787,plain,
! [X_2,Z_530] : ( multiply(inverse(X_2),multiply(X_2,Z_530)) = multiply(identity,Z_530) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_55730]) ).
tff(c_57895,plain,
! [X_567,Z_568] : ( multiply(inverse(X_567),multiply(X_567,Z_568)) = Z_568 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55787]) ).
tff(c_57922,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_57749,c_57895]) ).
tff(c_57999,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_57922]) ).
tff(c_55662,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_55626,c_122]) ).
tff(c_55666,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55662,c_4]) ).
tff(c_55715,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_53593,c_26]) ).
tff(c_55760,plain,
! [Z_530] : ( multiply(sk_c7,multiply(sk_c8,Z_530)) = multiply(identity,Z_530) ),
inference(superposition,[status(thm),theory(equality)],[c_55666,c_55730]) ).
tff(c_55941,plain,
! [Z_538] : ( multiply(sk_c7,multiply(sk_c8,Z_538)) = Z_538 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55760]) ).
tff(c_55953,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_55715,c_55941]) ).
tff(c_55795,plain,
! [Z_530] : ( multiply(sk_c7,multiply(sk_c8,Z_530)) = Z_530 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55760]) ).
tff(c_55775,plain,
! [Z_530] : ( multiply(sk_c9,multiply(sk_c7,Z_530)) = multiply(identity,Z_530) ),
inference(superposition,[status(thm),theory(equality)],[c_53597,c_55730]) ).
tff(c_56985,plain,
! [Z_554] : ( multiply(sk_c9,multiply(sk_c7,Z_554)) = Z_554 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55775]) ).
tff(c_57317,plain,
! [Z_560] : ( multiply(sk_c9,Z_560) = multiply(sk_c8,Z_560) ),
inference(superposition,[status(thm),theory(equality)],[c_55795,c_56985]) ).
tff(c_57003,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_55666,c_56985]) ).
tff(c_57326,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_57317,c_57003]) ).
tff(c_57374,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53597,c_57317]) ).
tff(c_57000,plain,
! [Z_530] : ( multiply(sk_c9,Z_530) = multiply(sk_c8,Z_530) ),
inference(superposition,[status(thm),theory(equality)],[c_55795,c_56985]) ).
tff(c_55745,plain,
! [Z_530] : ( multiply(sk_c8,multiply(sk_c9,Z_530)) = multiply(sk_c7,Z_530) ),
inference(superposition,[status(thm),theory(equality)],[c_55715,c_55730]) ).
tff(c_57600,plain,
! [Z_564] : ( multiply(sk_c8,multiply(sk_c8,Z_564)) = multiply(sk_c7,Z_564) ),
inference(demodulation,[status(thm),theory(equality)],[c_57000,c_55745]) ).
tff(c_57630,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_57374,c_57600]) ).
tff(c_57645,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_55953,c_57326,c_57630]) ).
tff(c_55706,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_55626,c_116]) ).
tff(c_55634,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_53593,c_18]) ).
tff(c_55638,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55634,c_4]) ).
tff(c_55766,plain,
! [Z_530] : ( multiply(sk_c9,multiply(sk_c6,Z_530)) = multiply(identity,Z_530) ),
inference(superposition,[status(thm),theory(equality)],[c_55638,c_55730]) ).
tff(c_55918,plain,
! [Z_537] : ( multiply(sk_c9,multiply(sk_c6,Z_537)) = Z_537 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55766]) ).
tff(c_55930,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_55706,c_55918]) ).
tff(c_57362,plain,
multiply(sk_c8,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_55930,c_57317]) ).
tff(c_57463,plain,
multiply(sk_c7,sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_57362,c_55795]) ).
tff(c_57780,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55666,c_57645,c_57463]) ).
tff(c_57794,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57780,c_171]) ).
tff(c_57836,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57794,c_4]) ).
tff(c_57863,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_57836,c_2]) ).
tff(c_57792,plain,
multiply(sk_c1,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_57780,c_53593]) ).
tff(c_58249,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_57999,c_2,c_57863,c_57792]) ).
tff(c_58251,plain,
inverse(sk_c1) != sk_c12,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_58293,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_58251,c_30]) ).
tff(c_28,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_58330,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_58251,c_28]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_58317,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_58251,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_58278,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_58251,c_34]) ).
tff(c_58282,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_58278,c_4]) ).
tff(c_58382,plain,
! [X_571,Y_572,Z_573] : ( multiply(multiply(X_571,Y_572),Z_573) = multiply(X_571,multiply(Y_572,Z_573)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_58418,plain,
! [Z_573] : ( multiply(sk_c11,multiply(sk_c5,Z_573)) = multiply(identity,Z_573) ),
inference(superposition,[status(thm),theory(equality)],[c_58282,c_58382]) ).
tff(c_58640,plain,
! [Z_583] : ( multiply(sk_c11,multiply(sk_c5,Z_583)) = Z_583 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58418]) ).
tff(c_58661,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_58317,c_58640]) ).
tff(c_58433,plain,
! [X_2,Z_573] : ( multiply(inverse(X_2),multiply(X_2,Z_573)) = multiply(identity,Z_573) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_58382]) ).
tff(c_60575,plain,
! [X_612,Z_613] : ( multiply(inverse(X_612),multiply(X_612,Z_613)) = Z_613 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58433]) ).
tff(c_60623,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_58661,c_60575]) ).
tff(c_60661,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_60623]) ).
tff(c_60672,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60661,c_145]) ).
tff(c_60770,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_60672,c_4]) ).
tff(c_58448,plain,
! [X_2,Z_573] : ( multiply(inverse(X_2),multiply(X_2,Z_573)) = Z_573 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58433]) ).
tff(c_60799,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_60770,c_58448]) ).
tff(c_60811,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_60799]) ).
tff(c_60815,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_60672]) ).
tff(c_58297,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_58293,c_4]) ).
tff(c_58415,plain,
! [Z_573] : ( multiply(sk_c12,multiply(sk_c4,Z_573)) = multiply(identity,Z_573) ),
inference(superposition,[status(thm),theory(equality)],[c_58297,c_58382]) ).
tff(c_58609,plain,
! [Z_582] : ( multiply(sk_c12,multiply(sk_c4,Z_582)) = Z_582 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58415]) ).
tff(c_58621,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_58330,c_58609]) ).
tff(c_59666,plain,
! [Z_600] : ( multiply(sk_c4,multiply(sk_c12,Z_600)) = multiply(sk_c11,Z_600) ),
inference(superposition,[status(thm),theory(equality)],[c_58330,c_58382]) ).
tff(c_59681,plain,
multiply(sk_c4,sk_c12) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_58621,c_59666]) ).
tff(c_59691,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_58330,c_59681]) ).
tff(c_60617,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_59691,c_60575]) ).
tff(c_60659,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_60617]) ).
tff(c_42,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_58301,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_58251,c_42]) ).
tff(c_58305,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_58301,c_4]) ).
tff(c_58412,plain,
! [Z_573] : ( multiply(sk_c7,multiply(sk_c8,Z_573)) = multiply(identity,Z_573) ),
inference(superposition,[status(thm),theory(equality)],[c_58305,c_58382]) ).
tff(c_58441,plain,
! [Z_573] : ( multiply(sk_c7,multiply(sk_c8,Z_573)) = Z_573 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58412]) ).
tff(c_44,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_58265,plain,
inverse(sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_58251,c_44]) ).
tff(c_58269,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_58265,c_4]) ).
tff(c_58421,plain,
! [Z_573] : ( multiply(sk_c9,multiply(sk_c7,Z_573)) = multiply(identity,Z_573) ),
inference(superposition,[status(thm),theory(equality)],[c_58269,c_58382]) ).
tff(c_59717,plain,
! [Z_601] : ( multiply(sk_c9,multiply(sk_c7,Z_601)) = Z_601 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58421]) ).
tff(c_59964,plain,
! [Z_605] : ( multiply(sk_c9,Z_605) = multiply(sk_c8,Z_605) ),
inference(superposition,[status(thm),theory(equality)],[c_58441,c_59717]) ).
tff(c_36,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_58360,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_58251,c_36]) ).
tff(c_58250,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_58255,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_58250,c_4]) ).
tff(c_58424,plain,
! [Z_573] : ( multiply(sk_c9,multiply(sk_c6,Z_573)) = multiply(identity,Z_573) ),
inference(superposition,[status(thm),theory(equality)],[c_58255,c_58382]) ).
tff(c_59650,plain,
! [Z_599] : ( multiply(sk_c9,multiply(sk_c6,Z_599)) = Z_599 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58424]) ).
tff(c_59662,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_58360,c_59650]) ).
tff(c_59979,plain,
multiply(sk_c8,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_59964,c_59662]) ).
tff(c_60053,plain,
multiply(sk_c7,sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_59979,c_58441]) ).
tff(c_60018,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_58269,c_59964]) ).
tff(c_46,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_58336,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_58251,c_46]) ).
tff(c_59732,plain,
! [Z_573] : ( multiply(sk_c9,Z_573) = multiply(sk_c8,Z_573) ),
inference(superposition,[status(thm),theory(equality)],[c_58441,c_59717]) ).
tff(c_58403,plain,
! [Z_573] : ( multiply(sk_c8,multiply(sk_c9,Z_573)) = multiply(sk_c7,Z_573) ),
inference(superposition,[status(thm),theory(equality)],[c_58336,c_58382]) ).
tff(c_60364,plain,
! [Z_610] : ( multiply(sk_c8,multiply(sk_c8,Z_610)) = multiply(sk_c7,Z_610) ),
inference(demodulation,[status(thm),theory(equality)],[c_59732,c_58403]) ).
tff(c_60403,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c7,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_58336,c_60364]) ).
tff(c_60413,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60053,c_60018,c_60403]) ).
tff(c_59735,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_58305,c_59717]) ).
tff(c_40,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_58341,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_58251,c_40]) ).
tff(c_60260,plain,
! [Z_609] : ( multiply(sk_c9,multiply(sk_c11,Z_609)) = multiply(sk_c12,Z_609) ),
inference(superposition,[status(thm),theory(equality)],[c_58341,c_58382]) ).
tff(c_60293,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_161,c_60260]) ).
tff(c_60302,plain,
multiply(sk_c12,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_59735,c_60293]) ).
tff(c_60441,plain,
multiply(identity,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_60413,c_60302]) ).
tff(c_60452,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60441]) ).
tff(c_60469,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_60452,c_58301]) ).
tff(c_60470,plain,
sk_c7 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_157,c_60469]) ).
tff(c_58564,plain,
! [Z_580] : ( multiply(sk_c7,multiply(sk_c8,Z_580)) = Z_580 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58412]) ).
tff(c_58576,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_58336,c_58564]) ).
tff(c_59973,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_59964,c_59735]) ).
tff(c_60394,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_60018,c_60364]) ).
tff(c_60410,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_58576,c_59973,c_60394]) ).
tff(c_60428,plain,
inverse(sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_60410,c_58265]) ).
tff(c_60515,plain,
inverse(sk_c11) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_60470,c_60452,c_60428]) ).
tff(c_60681,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_60659,c_60515]) ).
tff(c_60823,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60815,c_60681]) ).
tff(c_60430,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_60410,c_58250]) ).
tff(c_60534,plain,
inverse(sk_c6) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_60452,c_60430]) ).
tff(c_59988,plain,
multiply(sk_c8,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_59964,c_58341]) ).
tff(c_58397,plain,
! [Z_573] : ( multiply(sk_c6,multiply(sk_c9,Z_573)) = multiply(sk_c12,Z_573) ),
inference(superposition,[status(thm),theory(equality)],[c_58360,c_58382]) ).
tff(c_60027,plain,
! [Z_573] : ( multiply(sk_c6,multiply(sk_c8,Z_573)) = multiply(sk_c12,Z_573) ),
inference(demodulation,[status(thm),theory(equality)],[c_59732,c_58397]) ).
tff(c_60248,plain,
multiply(sk_c6,sk_c12) = multiply(sk_c12,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_59988,c_60027]) ).
tff(c_60257,plain,
multiply(sk_c6,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_58621,c_60248]) ).
tff(c_60562,plain,
multiply(sk_c6,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60413,c_60413,c_60257]) ).
tff(c_59010,plain,
! [X_591,Z_592] : ( multiply(inverse(X_591),multiply(X_591,Z_592)) = Z_592 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58433]) ).
tff(c_59091,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_58621,c_59010]) ).
tff(c_59191,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_59091]) ).
tff(c_59298,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_59191,c_157]) ).
tff(c_59172,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_59010]) ).
tff(c_59483,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_59298,c_59172]) ).
tff(c_59492,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_59483]) ).
tff(c_58693,plain,
! [Z_584] : ( multiply(sk_c9,multiply(sk_c6,Z_584)) = Z_584 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58424]) ).
tff(c_58705,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_58360,c_58693]) ).
tff(c_59067,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_58705,c_59010]) ).
tff(c_59185,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_59067]) ).
tff(c_58760,plain,
! [Z_586] : ( multiply(sk_c9,multiply(sk_c7,Z_586)) = Z_586 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58421]) ).
tff(c_58778,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_58305,c_58760]) ).
tff(c_58912,plain,
! [Z_590] : ( multiply(sk_c9,multiply(sk_c11,Z_590)) = multiply(sk_c12,Z_590) ),
inference(superposition,[status(thm),theory(equality)],[c_58341,c_58382]) ).
tff(c_58945,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_161,c_58912]) ).
tff(c_58954,plain,
multiply(sk_c12,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_58778,c_58945]) ).
tff(c_59225,plain,
multiply(identity,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_59185,c_58954]) ).
tff(c_59239,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59225]) ).
tff(c_59325,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_59239,c_58301]) ).
tff(c_59479,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_59298,c_59325]) ).
tff(c_59228,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_59185,c_58705]) ).
tff(c_59241,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_58778,c_59228]) ).
tff(c_59313,plain,
inverse(sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_59241,c_58265]) ).
tff(c_59449,plain,
inverse(sk_c7) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_59239,c_59313]) ).
tff(c_59513,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_59479,c_59449]) ).
tff(c_59570,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_59492,c_59513]) ).
tff(c_58530,plain,
! [X4_578] :
( ( inverse(X4_578) != sk_c12 )
| ( multiply(X4_578,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_58537,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_58330,c_58530]) ).
tff(c_58549,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58293,c_58537]) ).
tff(c_58550,plain,
! [X5_6,X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_58790,plain,
! [X8_587,X7_588] :
( ( inverse(multiply(X8_587,inverse(X7_588))) != inverse(X7_588) )
| ( multiply(X8_587,inverse(X7_588)) != inverse(X8_587) )
| ( multiply(inverse(X7_588),sk_c11) != sk_c12 )
| ( multiply(X7_588,inverse(X7_588)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_58550]) ).
tff(c_58813,plain,
! [X7_588] :
( ( inverse(inverse(X7_588)) != inverse(X7_588) )
| ( multiply(identity,inverse(X7_588)) != inverse(identity) )
| ( multiply(inverse(X7_588),sk_c11) != sk_c12 )
| ( multiply(X7_588,inverse(X7_588)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_58790]) ).
tff(c_58826,plain,
! [X7_588] :
( ( inverse(inverse(X7_588)) != inverse(X7_588) )
| ( inverse(identity) != inverse(X7_588) )
| ( multiply(inverse(X7_588),sk_c11) != sk_c12 )
| ( multiply(X7_588,inverse(X7_588)) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58813]) ).
tff(c_59622,plain,
! [X7_598] :
( ( inverse(inverse(X7_598)) != inverse(X7_598) )
| ( inverse(X7_598) != identity )
| ( multiply(inverse(X7_598),identity) != identity )
| ( multiply(X7_598,inverse(X7_598)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59185,c_59191,c_59185,c_59570,c_58826]) ).
tff(c_59624,plain,
( ( inverse(inverse(identity)) != inverse(identity) )
| ( inverse(identity) != identity )
| ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_59570,c_59622]) ).
tff(c_59632,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59570,c_2,c_2,c_59570,c_59570,c_59624]) ).
tff(c_59633,plain,
! [X2_12,X1_11,X6_7,X5_6] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_58550]) ).
tff(c_59908,plain,
! [X5_604] :
( ( inverse(X5_604) != sk_c11 )
| ( multiply(X5_604,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_59633]) ).
tff(c_59931,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_58317,c_59908]) ).
tff(c_59944,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58278,c_59931]) ).
tff(c_59945,plain,
! [X6_7,X1_11,X2_12] :
( ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_59633]) ).
tff(c_60201,plain,
! [X2_608] :
( ( inverse(X2_608) != sk_c11 )
| ( multiply(X2_608,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_59945]) ).
tff(c_60227,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_58317,c_60201]) ).
tff(c_60242,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58278,c_60227]) ).
tff(c_60243,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_59945]) ).
tff(c_60338,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_60243]) ).
tff(c_60490,plain,
! [X6_7] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60413,c_60338]) ).
tff(c_60566,plain,
( ( sk_c10 != identity )
| ( inverse(sk_c6) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_60562,c_60490]) ).
tff(c_60572,plain,
( ( sk_c10 != identity )
| ( sk_c2 != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60534,c_60566]) ).
tff(c_61213,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60823,c_60661,c_60661,c_60572]) ).
tff(c_61215,plain,
! [X1_624] :
( ( inverse(X1_624) != sk_c12 )
| ( multiply(X1_624,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_60243]) ).
tff(c_61232,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_58330,c_61215]) ).
tff(c_61246,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58293,c_61232]) ).
tff(c_61248,plain,
inverse(sk_c2) != sk_c11,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_76,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_61330,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_61248,c_76]) ).
tff(c_78,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_61273,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_61248,c_78]) ).
tff(c_61277,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61273,c_4]) ).
tff(c_61432,plain,
! [Z_627] : ( multiply(sk_c9,multiply(sk_c6,Z_627)) = multiply(identity,Z_627) ),
inference(superposition,[status(thm),theory(equality)],[c_61277,c_61393]) ).
tff(c_62288,plain,
! [Z_645] : ( multiply(sk_c9,multiply(sk_c6,Z_645)) = Z_645 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61432]) ).
tff(c_62300,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_61330,c_62288]) ).
tff(c_61420,plain,
! [Z_627] : ( multiply(sk_c6,multiply(sk_c9,Z_627)) = multiply(sk_c12,Z_627) ),
inference(superposition,[status(thm),theory(equality)],[c_61330,c_61393]) ).
tff(c_62344,plain,
multiply(sk_c6,sk_c9) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_62300,c_61420]) ).
tff(c_62350,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_61330,c_62344]) ).
tff(c_68,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_61372,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_61248,c_68]) ).
tff(c_70,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_61302,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_61248,c_70]) ).
tff(c_61306,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61302,c_4]) ).
tff(c_61426,plain,
! [Z_627] : ( multiply(sk_c12,multiply(sk_c4,Z_627)) = multiply(identity,Z_627) ),
inference(superposition,[status(thm),theory(equality)],[c_61306,c_61393]) ).
tff(c_62560,plain,
! [Z_650] : ( multiply(sk_c12,multiply(sk_c4,Z_650)) = Z_650 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61426]) ).
tff(c_62572,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_61372,c_62560]) ).
tff(c_80,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_61338,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_61248,c_80]) ).
tff(c_62304,plain,
! [Z_646] : ( multiply(sk_c6,multiply(sk_c9,Z_646)) = multiply(sk_c12,Z_646) ),
inference(superposition,[status(thm),theory(equality)],[c_61330,c_61393]) ).
tff(c_62331,plain,
multiply(sk_c6,sk_c12) = multiply(sk_c12,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_61338,c_62304]) ).
tff(c_62576,plain,
multiply(sk_c6,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_62572,c_62331]) ).
tff(c_61455,plain,
! [Z_627] : ( multiply(sk_c9,multiply(sk_c6,Z_627)) = Z_627 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61432]) ).
tff(c_62587,plain,
multiply(sk_c9,sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_62576,c_61455]) ).
tff(c_62647,plain,
sk_c9 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_62587,c_62300]) ).
tff(c_86,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_61367,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_61248,c_86]) ).
tff(c_82,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_61314,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_61248,c_82]) ).
tff(c_61318,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61314,c_4]) ).
tff(c_61423,plain,
! [Z_627] : ( multiply(sk_c7,multiply(sk_c8,Z_627)) = multiply(identity,Z_627) ),
inference(superposition,[status(thm),theory(equality)],[c_61318,c_61393]) ).
tff(c_61461,plain,
! [Z_628] : ( multiply(sk_c7,multiply(sk_c8,Z_628)) = Z_628 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61423]) ).
tff(c_61473,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_61367,c_61461]) ).
tff(c_84,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_61290,plain,
inverse(sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_61248,c_84]) ).
tff(c_61294,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61290,c_4]) ).
tff(c_61429,plain,
! [Z_627] : ( multiply(sk_c9,multiply(sk_c7,Z_627)) = multiply(identity,Z_627) ),
inference(superposition,[status(thm),theory(equality)],[c_61294,c_61393]) ).
tff(c_61559,plain,
! [Z_632] : ( multiply(sk_c9,multiply(sk_c7,Z_632)) = Z_632 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61429]) ).
tff(c_61571,plain,
multiply(sk_c9,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_61473,c_61559]) ).
tff(c_62667,plain,
multiply(sk_c12,sk_c12) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_62647,c_62647,c_61571]) ).
tff(c_62679,plain,
sk_c7 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_62350,c_62667]) ).
tff(c_62675,plain,
inverse(sk_c7) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_62647,c_61290]) ).
tff(c_62693,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_62679,c_62675]) ).
tff(c_62697,plain,
multiply(sk_c12,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_62693,c_4]) ).
tff(c_62806,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62697,c_62350]) ).
tff(c_62822,plain,
multiply(identity,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62806,c_62806,c_62572]) ).
tff(c_63915,plain,
sk_c11 = identity,
inference(superposition,[status(thm),theory(equality)],[c_62822,c_2]) ).
tff(c_72,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_61347,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_61248,c_72]) ).
tff(c_61247,plain,
inverse(sk_c5) = sk_c11,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_61252,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61247,c_4]) ).
tff(c_61438,plain,
! [Z_627] : ( multiply(sk_c11,multiply(sk_c5,Z_627)) = multiply(identity,Z_627) ),
inference(superposition,[status(thm),theory(equality)],[c_61252,c_61393]) ).
tff(c_61536,plain,
! [Z_631] : ( multiply(sk_c11,multiply(sk_c5,Z_631)) = Z_631 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61438]) ).
tff(c_61548,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_61347,c_61536]) ).
tff(c_62895,plain,
! [X_653,Z_654] : ( multiply(inverse(X_653),multiply(X_653,Z_654)) = Z_654 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61444]) ).
tff(c_62925,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_61548,c_62895]) ).
tff(c_62957,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_62925]) ).
tff(c_63258,plain,
! [X_658,Z_659] : ( multiply(inverse(inverse(X_658)),Z_659) = multiply(X_658,Z_659) ),
inference(superposition,[status(thm),theory(equality)],[c_62895,c_61459]) ).
tff(c_62949,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_62895]) ).
tff(c_63265,plain,
! [X_658] : ( multiply(X_658,identity) = X_658 ),
inference(superposition,[status(thm),theory(equality)],[c_63258,c_62949]) ).
tff(c_61610,plain,
! [Z_634] : ( multiply(sk_c9,multiply(sk_c6,Z_634)) = Z_634 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61432]) ).
tff(c_61622,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_61330,c_61610]) ).
tff(c_61666,plain,
multiply(sk_c6,sk_c9) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_61622,c_61420]) ).
tff(c_61672,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_61330,c_61666]) ).
tff(c_61896,plain,
! [X_640,Z_641] : ( multiply(inverse(X_640),multiply(X_640,Z_641)) = Z_641 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61444]) ).
tff(c_61929,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_61672,c_61896]) ).
tff(c_61983,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_61929]) ).
tff(c_61751,plain,
! [Z_638] : ( multiply(sk_c12,multiply(sk_c4,Z_638)) = Z_638 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61426]) ).
tff(c_61763,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_61372,c_61751]) ).
tff(c_61626,plain,
! [Z_635] : ( multiply(sk_c6,multiply(sk_c9,Z_635)) = multiply(sk_c12,Z_635) ),
inference(superposition,[status(thm),theory(equality)],[c_61330,c_61393]) ).
tff(c_61653,plain,
multiply(sk_c6,sk_c12) = multiply(sk_c12,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_61338,c_61626]) ).
tff(c_61767,plain,
multiply(sk_c6,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_61763,c_61653]) ).
tff(c_61778,plain,
multiply(sk_c9,sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_61767,c_61455]) ).
tff(c_61838,plain,
sk_c9 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_61778,c_61622]) ).
tff(c_61858,plain,
multiply(sk_c12,sk_c12) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_61838,c_61838,c_61571]) ).
tff(c_61870,plain,
sk_c7 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_61672,c_61858]) ).
tff(c_61866,plain,
inverse(sk_c7) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_61838,c_61290]) ).
tff(c_61884,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_61870,c_61866]) ).
tff(c_62012,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61983,c_61983,c_61884]) ).
tff(c_62014,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61983,c_61838]) ).
tff(c_61508,plain,
! [X4_630] :
( ( inverse(X4_630) != sk_c12 )
| ( multiply(X4_630,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_61515,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_61372,c_61508]) ).
tff(c_61527,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_61302,c_61515]) ).
tff(c_61528,plain,
! [X5_6,X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_61715,plain,
! [X8_636,X7_637] :
( ( inverse(multiply(X8_636,inverse(X7_637))) != inverse(X7_637) )
| ( multiply(X8_636,inverse(X7_637)) != inverse(X8_636) )
| ( multiply(inverse(X7_637),sk_c11) != sk_c12 )
| ( multiply(X7_637,inverse(X7_637)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_61528]) ).
tff(c_61726,plain,
! [X8_636] :
( ( inverse(multiply(X8_636,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_636,inverse(sk_c6)) != inverse(X8_636) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_61273,c_61715]) ).
tff(c_61745,plain,
! [X8_636] :
( ( inverse(multiply(X8_636,sk_c9)) != sk_c9 )
| ( multiply(X8_636,sk_c9) != inverse(X8_636) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61330,c_61273,c_61338,c_61273,c_61273,c_61273,c_61726]) ).
tff(c_62250,plain,
! [X8_643] :
( ( inverse(multiply(X8_643,identity)) != identity )
| ( multiply(X8_643,identity) != inverse(X8_643) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62014,c_62014,c_62014,c_61745]) ).
tff(c_62258,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_62250]) ).
tff(c_62266,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62012,c_62012,c_4,c_62012,c_62258]) ).
tff(c_62267,plain,
! [X2_12,X1_11,X6_7,X5_6] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_61528]) ).
tff(c_62535,plain,
! [X5_649] :
( ( inverse(X5_649) != sk_c11 )
| ( multiply(X5_649,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_62267]) ).
tff(c_62545,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_61347,c_62535]) ).
tff(c_62558,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_61247,c_62545]) ).
tff(c_62559,plain,
! [X6_7,X1_11,X2_12] :
( ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_62267]) ).
tff(c_62770,plain,
! [X2_652] :
( ( inverse(X2_652) != sk_c11 )
| ( multiply(X2_652,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_62559]) ).
tff(c_62777,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_61347,c_62770]) ).
tff(c_62789,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_61247,c_62777]) ).
tff(c_62790,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_62559]) ).
tff(c_62859,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != sk_c11 )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62806,c_62806,c_62806,c_62790]) ).
tff(c_62860,plain,
! [X6_7] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_62859]) ).
tff(c_63665,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_62957,c_63265,c_62957,c_62860]) ).
tff(c_62818,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62806,c_62806,c_62693]) ).
tff(c_63667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63665,c_62818]) ).
tff(c_63668,plain,
! [X1_11] :
( ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_62859]) ).
tff(c_64516,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_64117,c_63915,c_63668]) ).
tff(c_64518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64516,c_62818]) ).
tff(c_64520,plain,
inverse(sk_c3) != sk_c10,
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_96,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_64633,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_64520,c_96]) ).
tff(c_64519,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_64524,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_64519,c_4]) ).
tff(c_64725,plain,
! [Z_686] : ( multiply(sk_c9,multiply(sk_c6,Z_686)) = multiply(identity,Z_686) ),
inference(superposition,[status(thm),theory(equality)],[c_64524,c_64677]) ).
tff(c_64825,plain,
! [Z_690] : ( multiply(sk_c9,multiply(sk_c6,Z_690)) = Z_690 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64725]) ).
tff(c_64837,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_64633,c_64825]) ).
tff(c_90020,plain,
! [Z_880] : ( multiply(sk_c6,multiply(sk_c9,Z_880)) = multiply(sk_c12,Z_880) ),
inference(superposition,[status(thm),theory(equality)],[c_64633,c_64677]) ).
tff(c_90038,plain,
multiply(sk_c6,sk_c9) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_64837,c_90020]) ).
tff(c_90060,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_64633,c_90038]) ).
tff(c_88,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_64621,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_64520,c_88]) ).
tff(c_90,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_64544,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_64520,c_90]) ).
tff(c_64548,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_64544,c_4]) ).
tff(c_64719,plain,
! [Z_686] : ( multiply(sk_c12,multiply(sk_c4,Z_686)) = multiply(identity,Z_686) ),
inference(superposition,[status(thm),theory(equality)],[c_64548,c_64677]) ).
tff(c_90004,plain,
! [Z_879] : ( multiply(sk_c12,multiply(sk_c4,Z_879)) = Z_879 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64719]) ).
tff(c_90016,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_64621,c_90004]) ).
tff(c_100,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_64651,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_64520,c_100]) ).
tff(c_90050,plain,
multiply(sk_c6,sk_c12) = multiply(sk_c12,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_64651,c_90020]) ).
tff(c_90075,plain,
multiply(sk_c6,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_90016,c_90050]) ).
tff(c_64742,plain,
! [Z_686] : ( multiply(sk_c9,multiply(sk_c6,Z_686)) = Z_686 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64725]) ).
tff(c_90079,plain,
multiply(sk_c9,sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_90075,c_64742]) ).
tff(c_90086,plain,
sk_c9 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_90079,c_64837]) ).
tff(c_106,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_64615,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_64520,c_106]) ).
tff(c_102,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_64587,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_64520,c_102]) ).
tff(c_64591,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_64587,c_4]) ).
tff(c_64710,plain,
! [Z_686] : ( multiply(sk_c7,multiply(sk_c8,Z_686)) = multiply(identity,Z_686) ),
inference(superposition,[status(thm),theory(equality)],[c_64591,c_64677]) ).
tff(c_89810,plain,
! [Z_875] : ( multiply(sk_c7,multiply(sk_c8,Z_875)) = Z_875 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64710]) ).
tff(c_89825,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_64615,c_89810]) ).
tff(c_104,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_64599,plain,
inverse(sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_64520,c_104]) ).
tff(c_64603,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_64599,c_4]) ).
tff(c_64707,plain,
! [Z_686] : ( multiply(sk_c9,multiply(sk_c7,Z_686)) = multiply(identity,Z_686) ),
inference(superposition,[status(thm),theory(equality)],[c_64603,c_64677]) ).
tff(c_64736,plain,
! [Z_686] : ( multiply(sk_c9,multiply(sk_c7,Z_686)) = Z_686 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64707]) ).
tff(c_89990,plain,
multiply(sk_c9,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_89825,c_64736]) ).
tff(c_90100,plain,
multiply(sk_c12,sk_c12) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_90086,c_90086,c_89990]) ).
tff(c_90113,plain,
sk_c7 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_90060,c_90100]) ).
tff(c_90109,plain,
inverse(sk_c7) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_90086,c_64599]) ).
tff(c_90229,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_90113,c_90109]) ).
tff(c_90233,plain,
multiply(sk_c12,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_90229,c_4]) ).
tff(c_90237,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_90233,c_90060]) ).
tff(c_90250,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_90237,c_90086]) ).
tff(c_64692,plain,
! [Z_686] : ( multiply(sk_c9,multiply(sk_c11,Z_686)) = multiply(sk_c12,Z_686) ),
inference(superposition,[status(thm),theory(equality)],[c_64651,c_64677]) ).
tff(c_91224,plain,
! [Z_686] : ( multiply(sk_c11,Z_686) = Z_686 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_90237,c_90250,c_64692]) ).
tff(c_92,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_64627,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_64520,c_92]) ).
tff(c_94,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_64572,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_64520,c_94]) ).
tff(c_64576,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_64572,c_4]) ).
tff(c_64713,plain,
! [Z_686] : ( multiply(sk_c11,multiply(sk_c5,Z_686)) = multiply(identity,Z_686) ),
inference(superposition,[status(thm),theory(equality)],[c_64576,c_64677]) ).
tff(c_64848,plain,
! [Z_691] : ( multiply(sk_c11,multiply(sk_c5,Z_691)) = Z_691 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64713]) ).
tff(c_64860,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_64627,c_64848]) ).
tff(c_91143,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_64860,c_91113]) ).
tff(c_91175,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_91143]) ).
tff(c_91179,plain,
multiply(sk_c11,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_91175,c_64860]) ).
tff(c_91225,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_91224,c_91179]) ).
tff(c_90339,plain,
! [X_882,Z_883] : ( multiply(inverse(X_882),multiply(X_882,Z_883)) = Z_883 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64728]) ).
tff(c_90366,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_64860,c_90339]) ).
tff(c_90398,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_90366]) ).
tff(c_90687,plain,
! [X_886,Z_887] : ( multiply(inverse(inverse(X_886)),Z_887) = multiply(X_886,Z_887) ),
inference(superposition,[status(thm),theory(equality)],[c_90339,c_64743]) ).
tff(c_90390,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_90339]) ).
tff(c_90694,plain,
! [X_886] : ( multiply(X_886,identity) = X_886 ),
inference(superposition,[status(thm),theory(equality)],[c_90687,c_90390]) ).
tff(c_64908,plain,
! [Z_693] : ( multiply(sk_c8,multiply(sk_c9,Z_693)) = multiply(sk_c7,Z_693) ),
inference(superposition,[status(thm),theory(equality)],[c_64615,c_64677]) ).
tff(c_64926,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c7,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_64837,c_64908]) ).
tff(c_64948,plain,
multiply(sk_c7,sk_c12) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_64615,c_64926]) ).
tff(c_64964,plain,
multiply(sk_c9,sk_c7) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_64948,c_64736]) ).
tff(c_64970,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_64603,c_64964]) ).
tff(c_64979,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_64970,c_64548]) ).
tff(c_65113,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_64979,c_2]) ).
tff(c_64980,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_64970,c_64544]) ).
tff(c_65226,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65113,c_64980]) ).
tff(c_64976,plain,
multiply(sk_c4,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_64970,c_64621]) ).
tff(c_65225,plain,
multiply(identity,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_65113,c_64976]) ).
tff(c_65228,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65225]) ).
tff(c_64745,plain,
! [Z_687] : ( multiply(sk_c9,multiply(sk_c7,Z_687)) = Z_687 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64707]) ).
tff(c_64757,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_64591,c_64745]) ).
tff(c_64973,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_64970,c_64837]) ).
tff(c_64981,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_64757,c_64973]) ).
tff(c_65428,plain,
! [Z_686] : ( multiply(sk_c8,Z_686) = Z_686 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65228,c_64981,c_2,c_64970,c_64692]) ).
tff(c_64995,plain,
inverse(sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_64981,c_64599]) ).
tff(c_65121,plain,
! [X_696,Z_697] : ( multiply(inverse(X_696),multiply(X_696,Z_697)) = Z_697 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64728]) ).
tff(c_65181,plain,
multiply(inverse(sk_c7),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_64591,c_65121]) ).
tff(c_65214,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_64995,c_65181]) ).
tff(c_65429,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65428,c_65214]) ).
tff(c_65641,plain,
! [X_702,Z_703] : ( multiply(inverse(inverse(X_702)),Z_703) = multiply(X_702,Z_703) ),
inference(superposition,[status(thm),theory(equality)],[c_64743,c_65121]) ).
tff(c_65199,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65121]) ).
tff(c_65648,plain,
! [X_702] : ( multiply(X_702,identity) = X_702 ),
inference(superposition,[status(thm),theory(equality)],[c_65641,c_65199]) ).
tff(c_64793,plain,
! [X4_689] :
( ( inverse(X4_689) != sk_c12 )
| ( multiply(X4_689,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_64803,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_64621,c_64793]) ).
tff(c_64815,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_64544,c_64803]) ).
tff(c_64816,plain,
! [X5_6,X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_64871,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_64816]) ).
tff(c_65009,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != identity )
| ( multiply(X7_10,inverse(X7_10)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64970,c_64970,c_64871]) ).
tff(c_65037,plain,
! [X8_13] :
( ( inverse(multiply(X8_13,sk_c8)) != inverse(sk_c7) )
| ( multiply(X8_13,inverse(sk_c7)) != inverse(X8_13) )
| ( multiply(inverse(sk_c7),sk_c11) != identity )
| ( multiply(sk_c7,inverse(sk_c7)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_64995,c_65009]) ).
tff(c_65044,plain,
! [X8_13] :
( ( inverse(multiply(X8_13,sk_c8)) != sk_c8 )
| ( multiply(X8_13,sk_c8) != inverse(X8_13) )
| ( multiply(sk_c8,sk_c11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64591,c_64995,c_64995,c_64995,c_64995,c_65037]) ).
tff(c_89787,plain,
! [X8_874] :
( ( inverse(X8_874) != identity )
| ( inverse(X8_874) != X8_874 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65429,c_65228,c_65648,c_65429,c_65648,c_65429,c_65429,c_65044]) ).
tff(c_89799,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_65226,c_89787]) ).
tff(c_89808,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_65226,c_89799]) ).
tff(c_89809,plain,
! [X2_12,X1_11,X6_7,X5_6] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_64816]) ).
tff(c_89963,plain,
! [X5_878] :
( ( inverse(X5_878) != sk_c11 )
| ( multiply(X5_878,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_89809]) ).
tff(c_89973,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_64627,c_89963]) ).
tff(c_89985,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_64572,c_89973]) ).
tff(c_89986,plain,
! [X6_7,X1_11,X2_12] :
( ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_89809]) ).
tff(c_90194,plain,
! [X2_881] :
( ( inverse(X2_881) != sk_c11 )
| ( multiply(X2_881,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_89986]) ).
tff(c_90201,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_64627,c_90194]) ).
tff(c_90213,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_64572,c_90201]) ).
tff(c_90214,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( multiply(X6_7,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_89986]) ).
tff(c_90288,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != sk_c11 )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90237,c_90237,c_90237,c_90214]) ).
tff(c_90289,plain,
! [X6_7] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_90288]) ).
tff(c_91081,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_90398,c_90694,c_90398,c_90289]) ).
tff(c_90247,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_90237,c_90237,c_90229]) ).
tff(c_91083,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91081,c_90247]) ).
tff(c_91084,plain,
! [X1_11] :
( ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_90288]) ).
tff(c_91783,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_91400,c_91225,c_91084]) ).
tff(c_91785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91783,c_90247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP254-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.12 % 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
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Aug 3 22:22:06 EDT 2023
% 0.12/0.33 % CPUTime :
% 21.10/9.21 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.58/9.33
% 21.58/9.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 21.98/9.41
% 21.98/9.41 Inference rules
% 21.98/9.41 ----------------------
% 21.98/9.41 #Ref : 0
% 21.98/9.41 #Sup : 22581
% 21.98/9.41 #Fact : 0
% 21.98/9.41 #Define : 0
% 21.98/9.41 #Split : 58
% 21.98/9.41 #Chain : 0
% 21.98/9.41 #Close : 0
% 21.98/9.41
% 21.98/9.41 Ordering : KBO
% 21.98/9.41
% 21.98/9.41 Simplification rules
% 21.98/9.41 ----------------------
% 21.98/9.41 #Subsume : 5
% 21.98/9.41 #Demod : 68510
% 21.98/9.41 #Tautology : 18165
% 21.98/9.41 #SimpNegUnit : 106
% 21.98/9.41 #BackRed : 1221
% 21.98/9.41
% 21.98/9.41 #Partial instantiations: 0
% 21.98/9.41 #Strategies tried : 1
% 21.98/9.41
% 21.98/9.41 Timing (in seconds)
% 21.98/9.41 ----------------------
% 21.98/9.41 Preprocessing : 0.58
% 21.98/9.41 Parsing : 0.21
% 21.98/9.41 CNF conversion : 0.03
% 21.98/9.41 Main loop : 7.65
% 21.98/9.41 Inferencing : 2.00
% 21.98/9.41 Reduction : 4.49
% 21.98/9.41 Demodulation : 4.14
% 21.98/9.41 BG Simplification : 0.17
% 21.98/9.41 Subsumption : 0.68
% 21.98/9.41 Abstraction : 0.46
% 21.98/9.41 MUC search : 0.00
% 21.98/9.41 Cooper : 0.00
% 21.98/9.41 Total : 8.44
% 21.98/9.41 Index Insertion : 0.00
% 21.98/9.41 Index Deletion : 0.00
% 21.98/9.41 Index Matching : 0.00
% 21.98/9.41 BG Taut test : 0.00
%------------------------------------------------------------------------------