TSTP Solution File: GRP243-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP243-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n021.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 10:40:37 EDT 2023
% Result : Unsatisfiable 268.38s 242.13s
% Output : CNFRefutation 269.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 66
% Syntax : Number of formulae : 1867 (1546 unt; 15 typ; 0 def)
% Number of atoms : 2676 (2548 equ)
% Maximal formula atoms : 16 ( 1 avg)
% Number of connectives : 1931 (1107 ~; 824 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 1031 (;1031 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c12 > sk_c11 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c11,type,
sk_c11: $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(sk_c12,type,
sk_c12: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( inverse(sk_c7) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_299,axiom,
! [X5,X6,X3,X9,X7,X1,X2,X8,X4] :
( ( multiply(X5,sk_c12) != sk_c11 )
| ( inverse(X5) != sk_c12 )
| ( multiply(X6,sk_c11) != sk_c10 )
| ( inverse(X6) != sk_c11 )
| ( inverse(X7) != sk_c12 )
| ( multiply(X7,sk_c11) != sk_c12 )
| ( multiply(X8,X9) != sk_c11 )
| ( inverse(X8) != X9 )
| ( multiply(X9,sk_c10) != sk_c11 )
| ( inverse(X1) != sk_c12 )
| ( multiply(X1,sk_c11) != sk_c12 )
| ( inverse(X2) != sk_c11 )
| ( multiply(X2,sk_c10) != sk_c11 )
| ( multiply(X4,X3) != sk_c11 )
| ( inverse(X4) != X3 )
| ( multiply(X3,sk_c10) != sk_c11 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( inverse(sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( multiply(sk_c4,sk_c5) = sk_c11 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
( ( inverse(sk_c4) = sk_c5 )
| ( inverse(sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( multiply(sk_c3,sk_c11) = sk_c12 )
| ( inverse(sk_c7) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( inverse(sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_233,axiom,
( ( multiply(sk_c5,sk_c10) = sk_c11 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( inverse(sk_c7) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_242,axiom,
( ( multiply(sk_c5,sk_c10) = sk_c11 )
| ( multiply(sk_c7,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_239,axiom,
( ( multiply(sk_c5,sk_c10) = sk_c11 )
| ( inverse(sk_c7) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_236,axiom,
( ( multiply(sk_c5,sk_c10) = sk_c11 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( multiply(sk_c4,sk_c5) = sk_c11 )
| ( multiply(sk_c7,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( multiply(sk_c4,sk_c5) = sk_c11 )
| ( inverse(sk_c7) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_245,axiom,
( ( multiply(sk_c5,sk_c10) = sk_c11 )
| ( multiply(sk_c8,sk_c9) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( multiply(sk_c8,sk_c9) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( inverse(sk_c7) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( multiply(sk_c3,sk_c11) = sk_c12 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( multiply(sk_c3,sk_c11) = sk_c12 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c8,sk_c9) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c7,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c7) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c8,sk_c9) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c7,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c7) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( multiply(sk_c8,sk_c9) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( inverse(sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( multiply(sk_c7,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c3) = sk_c12 )
| ( multiply(sk_c9,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c8,sk_c9) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c7,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_218,axiom,
( ( inverse(sk_c4) = sk_c5 )
| ( inverse(sk_c7) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_215,axiom,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c6,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_212,axiom,
( ( inverse(sk_c4) = sk_c5 )
| ( inverse(sk_c6) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_230,axiom,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c9,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c9,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_1347681,plain,
! [X_3966,Y_3967,Z_3968] : ( multiply(multiply(X_3966,Y_3967),Z_3968) = multiply(X_3966,multiply(Y_3967,Z_3968)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1347720,plain,
! [X_2,Z_3968] : ( multiply(inverse(X_2),multiply(X_2,Z_3968)) = multiply(identity,Z_3968) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1347681]) ).
tff(c_1348258,plain,
! [X_3983,Z_3984] : ( multiply(inverse(X_3983),multiply(X_3983,Z_3984)) = Z_3984 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1347720]) ).
tff(c_1347732,plain,
! [X_2,Z_3968] : ( multiply(inverse(X_2),multiply(X_2,Z_3968)) = Z_3968 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1347720]) ).
tff(c_1349897,plain,
! [X_4007,Z_4008] : ( multiply(inverse(inverse(X_4007)),Z_4008) = multiply(X_4007,Z_4008) ),
inference(superposition,[status(thm),theory(equality)],[c_1348258,c_1347732]) ).
tff(c_1348339,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1348258]) ).
tff(c_1349904,plain,
! [X_4007] : ( multiply(X_4007,identity) = X_4007 ),
inference(superposition,[status(thm),theory(equality)],[c_1349897,c_1348339]) ).
tff(c_24,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_1345125,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_1345129,plain,
multiply(sk_c12,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1345125,c_4]) ).
tff(c_1124232,plain,
! [X_2993,Y_2994,Z_2995] : ( multiply(multiply(X_2993,Y_2994),Z_2995) = multiply(X_2993,multiply(Y_2994,Z_2995)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1124274,plain,
! [X_2,Z_2995] : ( multiply(inverse(X_2),multiply(X_2,Z_2995)) = multiply(identity,Z_2995) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1124232]) ).
tff(c_1125928,plain,
! [X_3028,Z_3029] : ( multiply(inverse(X_3028),multiply(X_3028,Z_3029)) = Z_3029 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1124274]) ).
tff(c_1124287,plain,
! [X_2,Z_2995] : ( multiply(inverse(X_2),multiply(X_2,Z_2995)) = Z_2995 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1124274]) ).
tff(c_1127822,plain,
! [X_3055,Z_3056] : ( multiply(inverse(inverse(X_3055)),Z_3056) = multiply(X_3055,Z_3056) ),
inference(superposition,[status(thm),theory(equality)],[c_1125928,c_1124287]) ).
tff(c_1126015,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1125928]) ).
tff(c_1127829,plain,
! [X_3055] : ( multiply(X_3055,identity) = X_3055 ),
inference(superposition,[status(thm),theory(equality)],[c_1127822,c_1126015]) ).
tff(c_1127866,plain,
! [X_3055] : ( multiply(X_3055,inverse(X_3055)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1127822]) ).
tff(c_1126417,plain,
! [X_3034,Z_3035] : ( multiply(inverse(inverse(X_3034)),Z_3035) = multiply(X_3034,Z_3035) ),
inference(superposition,[status(thm),theory(equality)],[c_1125928,c_1124287]) ).
tff(c_1126424,plain,
! [X_3034] : ( multiply(X_3034,identity) = X_3034 ),
inference(superposition,[status(thm),theory(equality)],[c_1126417,c_1126015]) ).
tff(c_927377,plain,
! [X_2522,Y_2523,Z_2524] : ( multiply(multiply(X_2522,Y_2523),Z_2524) = multiply(X_2522,multiply(Y_2523,Z_2524)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_927422,plain,
! [X_2,Z_2524] : ( multiply(inverse(X_2),multiply(X_2,Z_2524)) = multiply(identity,Z_2524) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_927377]) ).
tff(c_927436,plain,
! [X_2,Z_2524] : ( multiply(inverse(X_2),multiply(X_2,Z_2524)) = Z_2524 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_927422]) ).
tff(c_928113,plain,
! [X_2544,Z_2545] : ( multiply(inverse(X_2544),multiply(X_2544,Z_2545)) = Z_2545 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_927422]) ).
tff(c_930132,plain,
! [X_2570,Z_2571] : ( multiply(inverse(inverse(X_2570)),Z_2571) = multiply(X_2570,Z_2571) ),
inference(superposition,[status(thm),theory(equality)],[c_927436,c_928113]) ).
tff(c_928212,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_928113]) ).
tff(c_930139,plain,
! [X_2570] : ( multiply(X_2570,identity) = X_2570 ),
inference(superposition,[status(thm),theory(equality)],[c_930132,c_928212]) ).
tff(c_22,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_927277,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_927281,plain,
multiply(sk_c12,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_927277,c_4]) ).
tff(c_928182,plain,
multiply(inverse(sk_c12),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_927281,c_928113]) ).
tff(c_757152,plain,
! [X_2070,Y_2071,Z_2072] : ( multiply(multiply(X_2070,Y_2071),Z_2072) = multiply(X_2070,multiply(Y_2071,Z_2072)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_757194,plain,
! [X_2,Z_2072] : ( multiply(inverse(X_2),multiply(X_2,Z_2072)) = multiply(identity,Z_2072) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_757152]) ).
tff(c_757207,plain,
! [X_2,Z_2072] : ( multiply(inverse(X_2),multiply(X_2,Z_2072)) = Z_2072 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_757194]) ).
tff(c_758128,plain,
! [X_2096,Z_2097] : ( multiply(inverse(X_2096),multiply(X_2096,Z_2097)) = Z_2097 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_757194]) ).
tff(c_760002,plain,
! [X_2123,Z_2124] : ( multiply(inverse(inverse(X_2123)),Z_2124) = multiply(X_2123,Z_2124) ),
inference(superposition,[status(thm),theory(equality)],[c_757207,c_758128]) ).
tff(c_758218,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_758128]) ).
tff(c_760009,plain,
! [X_2123] : ( multiply(X_2123,identity) = X_2123 ),
inference(superposition,[status(thm),theory(equality)],[c_760002,c_758218]) ).
tff(c_760023,plain,
! [X_2123] : ( multiply(X_2123,inverse(X_2123)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_760002,c_4]) ).
tff(c_758612,plain,
! [X_2102,Z_2103] : ( multiply(inverse(inverse(X_2102)),Z_2103) = multiply(X_2102,Z_2103) ),
inference(superposition,[status(thm),theory(equality)],[c_758128,c_757207]) ).
tff(c_758619,plain,
! [X_2102] : ( multiply(X_2102,identity) = X_2102 ),
inference(superposition,[status(thm),theory(equality)],[c_758612,c_758218]) ).
tff(c_513994,plain,
! [X_1532,Y_1533,Z_1534] : ( multiply(multiply(X_1532,Y_1533),Z_1534) = multiply(X_1532,multiply(Y_1533,Z_1534)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_514039,plain,
! [X_2,Z_1534] : ( multiply(inverse(X_2),multiply(X_2,Z_1534)) = multiply(identity,Z_1534) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_513994]) ).
tff(c_514053,plain,
! [X_2,Z_1534] : ( multiply(inverse(X_2),multiply(X_2,Z_1534)) = Z_1534 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_514039]) ).
tff(c_515087,plain,
! [X_1559,Z_1560] : ( multiply(inverse(X_1559),multiply(X_1559,Z_1560)) = Z_1560 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_514039]) ).
tff(c_517128,plain,
! [X_1586,Z_1587] : ( multiply(inverse(inverse(X_1586)),Z_1587) = multiply(X_1586,Z_1587) ),
inference(superposition,[status(thm),theory(equality)],[c_514053,c_515087]) ).
tff(c_515183,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_515087]) ).
tff(c_517135,plain,
! [X_1586] : ( multiply(X_1586,identity) = X_1586 ),
inference(superposition,[status(thm),theory(equality)],[c_517128,c_515183]) ).
tff(c_326727,plain,
! [X_1063,Y_1064,Z_1065] : ( multiply(multiply(X_1063,Y_1064),Z_1065) = multiply(X_1063,multiply(Y_1064,Z_1065)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_326772,plain,
! [X_2,Z_1065] : ( multiply(inverse(X_2),multiply(X_2,Z_1065)) = multiply(identity,Z_1065) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_326727]) ).
tff(c_326786,plain,
! [X_2,Z_1065] : ( multiply(inverse(X_2),multiply(X_2,Z_1065)) = Z_1065 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_326772]) ).
tff(c_327761,plain,
! [X_1087,Z_1088] : ( multiply(inverse(X_1087),multiply(X_1087,Z_1088)) = Z_1088 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_326772]) ).
tff(c_329762,plain,
! [X_1114,Z_1115] : ( multiply(inverse(inverse(X_1114)),Z_1115) = multiply(X_1114,Z_1115) ),
inference(superposition,[status(thm),theory(equality)],[c_326786,c_327761]) ).
tff(c_327860,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_327761]) ).
tff(c_329769,plain,
! [X_1114] : ( multiply(X_1114,identity) = X_1114 ),
inference(superposition,[status(thm),theory(equality)],[c_329762,c_327860]) ).
tff(c_329783,plain,
! [X_1114] : ( multiply(X_1114,inverse(X_1114)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_329762,c_4]) ).
tff(c_328273,plain,
! [X_1092,Z_1093] : ( multiply(inverse(inverse(X_1092)),Z_1093) = multiply(X_1092,Z_1093) ),
inference(superposition,[status(thm),theory(equality)],[c_327761,c_326786]) ).
tff(c_328280,plain,
! [X_1092] : ( multiply(X_1092,identity) = X_1092 ),
inference(superposition,[status(thm),theory(equality)],[c_328273,c_327860]) ).
tff(c_190,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_194,plain,
multiply(sk_c12,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_190,c_4]) ).
tff(c_325908,plain,
! [X_1046,Y_1047,Z_1048] : ( multiply(multiply(X_1046,Y_1047),Z_1048) = multiply(X_1046,multiply(Y_1047,Z_1048)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_325962,plain,
! [X_2,Z_1048] : ( multiply(inverse(X_2),multiply(X_2,Z_1048)) = multiply(identity,Z_1048) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_325908]) ).
tff(c_326407,plain,
! [X_1059,Z_1060] : ( multiply(inverse(X_1059),multiply(X_1059,Z_1060)) = Z_1060 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_325962]) ).
tff(c_326461,plain,
multiply(inverse(sk_c12),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_194,c_326407]) ).
tff(c_68,plain,
( ( inverse(sk_c7) = sk_c11 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_163,plain,
inverse(sk_c3) = sk_c12,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_167,plain,
multiply(sk_c12,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_163,c_4]) ).
tff(c_326467,plain,
multiply(inverse(sk_c12),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_167,c_326407]) ).
tff(c_326602,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_326461,c_326467]) ).
tff(c_134,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( inverse(X5_6) != sk_c12 )
| ( multiply(X5_6,sk_c12) != sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_299]) ).
tff(c_326058,plain,
! [X5_1054] :
( ( inverse(X5_1054) != sk_c12 )
| ( multiply(X5_1054,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_326066,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_326058]) ).
tff(c_326079,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_326066]) ).
tff(c_18,plain,
( ( inverse(sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_324285,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_324387,plain,
! [X_1020,Y_1021,Z_1022] : ( multiply(multiply(X_1020,Y_1021),Z_1022) = multiply(X_1020,multiply(Y_1021,Z_1022)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_324435,plain,
! [Z_1022] : ( multiply(sk_c12,multiply(sk_c1,Z_1022)) = multiply(identity,Z_1022) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_324387]) ).
tff(c_324464,plain,
! [Z_1023] : ( multiply(sk_c12,multiply(sk_c1,Z_1023)) = Z_1023 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_324435]) ).
tff(c_324476,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_324285,c_324464]) ).
tff(c_324447,plain,
! [X_2,Z_1022] : ( multiply(inverse(X_2),multiply(X_2,Z_1022)) = multiply(identity,Z_1022) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_324387]) ).
tff(c_324977,plain,
! [X_1038,Z_1039] : ( multiply(inverse(X_1038),multiply(X_1038,Z_1039)) = Z_1039 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_324447]) ).
tff(c_325028,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_324476,c_324977]) ).
tff(c_325113,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_325028]) ).
tff(c_324429,plain,
! [Z_1022] : ( multiply(sk_c1,multiply(sk_c12,Z_1022)) = multiply(sk_c11,Z_1022) ),
inference(superposition,[status(thm),theory(equality)],[c_324285,c_324387]) ).
tff(c_325460,plain,
! [Z_1043] : ( multiply(sk_c1,multiply(sk_c12,Z_1043)) = Z_1043 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_325113,c_324429]) ).
tff(c_325493,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_194,c_325460]) ).
tff(c_325496,plain,
multiply(sk_c1,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_167,c_325460]) ).
tff(c_325787,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_325493,c_325496]) ).
tff(c_215,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_92,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( multiply(sk_c4,sk_c5) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_222,plain,
multiply(sk_c4,sk_c5) = sk_c11,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_116,plain,
( ( inverse(sk_c8) = sk_c9 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_151,plain,
inverse(sk_c4) = sk_c5,
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_155,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_151,c_4]) ).
tff(c_44000,plain,
! [X_278,Y_279,Z_280] : ( multiply(multiply(X_278,Y_279),Z_280) = multiply(X_278,multiply(Y_279,Z_280)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_44057,plain,
! [Z_280] : ( multiply(sk_c5,multiply(sk_c4,Z_280)) = multiply(identity,Z_280) ),
inference(superposition,[status(thm),theory(equality)],[c_155,c_44000]) ).
tff(c_44100,plain,
! [Z_282] : ( multiply(sk_c5,multiply(sk_c4,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44057]) ).
tff(c_44112,plain,
multiply(sk_c5,sk_c11) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_222,c_44100]) ).
tff(c_44060,plain,
! [X_2,Z_280] : ( multiply(inverse(X_2),multiply(X_2,Z_280)) = multiply(identity,Z_280) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_44000]) ).
tff(c_44603,plain,
! [X_296,Z_297] : ( multiply(inverse(X_296),multiply(X_296,Z_297)) = Z_297 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44060]) ).
tff(c_44645,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_44112,c_44603]) ).
tff(c_44734,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44645]) ).
tff(c_60,plain,
( ( inverse(sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_177,plain,
inverse(sk_c2) = sk_c11,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_181,plain,
multiply(sk_c11,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_177,c_4]) ).
tff(c_44767,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44734,c_181]) ).
tff(c_44075,plain,
! [X_2,Z_280] : ( multiply(inverse(X_2),multiply(X_2,Z_280)) = Z_280 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44060]) ).
tff(c_44869,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_44767,c_44075]) ).
tff(c_44881,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44869]) ).
tff(c_278,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_308,plain,
! [Z_19] : ( multiply(sk_c12,multiply(sk_c1,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_278]) ).
tff(c_487,plain,
! [Z_27] : ( multiply(sk_c12,multiply(sk_c1,Z_27)) = Z_27 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_308]) ).
tff(c_499,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_215,c_487]) ).
tff(c_320,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_278]) ).
tff(c_1333,plain,
! [X_38,Z_39] : ( multiply(inverse(X_38),multiply(X_38,Z_39)) = Z_39 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320]) ).
tff(c_1378,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_499,c_1333]) ).
tff(c_1454,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1378]) ).
tff(c_302,plain,
! [Z_19] : ( multiply(sk_c1,multiply(sk_c12,Z_19)) = multiply(sk_c11,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_215,c_278]) ).
tff(c_2363,plain,
! [Z_54] : ( multiply(sk_c1,multiply(sk_c12,Z_54)) = Z_54 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1454,c_302]) ).
tff(c_2393,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_194,c_2363]) ).
tff(c_2396,plain,
multiply(sk_c1,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_167,c_2363]) ).
tff(c_2622,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2393,c_2396]) ).
tff(c_82,plain,
( ( inverse(sk_c7) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_208,plain,
multiply(sk_c3,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_1626,plain,
multiply(sk_c3,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1454,c_208]) ).
tff(c_2623,plain,
multiply(sk_c1,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_2622,c_1626]) ).
tff(c_2627,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2393,c_2623]) ).
tff(c_332,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_320]) ).
tff(c_2726,plain,
! [X_58,Z_59] : ( multiply(inverse(inverse(X_58)),Z_59) = multiply(X_58,Z_59) ),
inference(superposition,[status(thm),theory(equality)],[c_332,c_1333]) ).
tff(c_1441,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1333]) ).
tff(c_2733,plain,
! [X_58] : ( multiply(X_58,identity) = X_58 ),
inference(superposition,[status(thm),theory(equality)],[c_2726,c_1441]) ).
tff(c_2747,plain,
! [X_58] : ( multiply(X_58,inverse(X_58)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_2726,c_4]) ).
tff(c_2003,plain,
! [X_46,Z_47] : ( multiply(inverse(inverse(X_46)),Z_47) = multiply(X_46,Z_47) ),
inference(superposition,[status(thm),theory(equality)],[c_1333,c_332]) ).
tff(c_2010,plain,
! [X_46] : ( multiply(X_46,identity) = X_46 ),
inference(superposition,[status(thm),theory(equality)],[c_2003,c_1441]) ).
tff(c_46,plain,
( ( inverse(sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_240,plain,
multiply(sk_c2,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_311,plain,
! [Z_19] : ( multiply(sk_c11,multiply(sk_c2,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_181,c_278]) ).
tff(c_510,plain,
! [Z_28] : ( multiply(sk_c11,multiply(sk_c2,Z_28)) = Z_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_311]) ).
tff(c_525,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_240,c_510]) ).
tff(c_1372,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_525,c_1333]) ).
tff(c_1453,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1372]) ).
tff(c_1491,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1454,c_177]) ).
tff(c_1472,plain,
multiply(sk_c2,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1453,c_240]) ).
tff(c_1546,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1454,c_1472]) ).
tff(c_317,plain,
! [Z_19] : ( multiply(sk_c5,multiply(sk_c4,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_155,c_278]) ).
tff(c_422,plain,
! [Z_24] : ( multiply(sk_c5,multiply(sk_c4,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_317]) ).
tff(c_434,plain,
multiply(sk_c5,sk_c11) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_222,c_422]) ).
tff(c_627,plain,
! [X_30,Z_31] : ( multiply(inverse(X_30),multiply(X_30,Z_31)) = Z_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320]) ).
tff(c_687,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_434,c_627]) ).
tff(c_750,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_687]) ).
tff(c_666,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_525,c_627]) ).
tff(c_747,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_666]) ).
tff(c_120,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( multiply(sk_c5,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_232,plain,
multiply(sk_c5,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_120]) ).
tff(c_766,plain,
multiply(sk_c5,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_747,c_232]) ).
tff(c_1010,plain,
multiply(sk_c5,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_750,c_766]) ).
tff(c_800,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_750,c_434]) ).
tff(c_1011,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1010,c_800]) ).
tff(c_397,plain,
! [X5_23] :
( ( inverse(X5_23) != sk_c12 )
| ( multiply(X5_23,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_407,plain,
inverse(sk_c1) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_215,c_397]) ).
tff(c_420,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_407]) ).
tff(c_421,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_540,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_421]) ).
tff(c_776,plain,
! [X4_32] :
( ( multiply(inverse(X4_32),identity) != sk_c11 )
| ( multiply(X4_32,inverse(X4_32)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_747,c_540]) ).
tff(c_784,plain,
( ( multiply(sk_c5,identity) != sk_c11 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_776]) ).
tff(c_793,plain,
multiply(sk_c5,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_222,c_151,c_784]) ).
tff(c_1245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1011,c_750,c_793]) ).
tff(c_1246,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_421]) ).
tff(c_1465,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_1246]) ).
tff(c_1575,plain,
! [X6_41] :
( ( inverse(X6_41) != identity )
| ( multiply(X6_41,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1454,c_1453,c_1454,c_1465]) ).
tff(c_1578,plain,
inverse(sk_c2) != identity,
inference(superposition,[status(thm),theory(equality)],[c_1546,c_1575]) ).
tff(c_1601,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1491,c_1578]) ).
tff(c_1602,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_1246]) ).
tff(c_1711,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,identity) != identity )
| ( inverse(X2_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1454,c_1454,c_1453,c_1454,c_1454,c_1454,c_1453,c_1454,c_1602]) ).
tff(c_1712,plain,
! [X2_12] :
( ( multiply(X2_12,identity) != identity )
| ( inverse(X2_12) != identity ) ),
inference(splitLeft,[status(thm)],[c_1711]) ).
tff(c_2346,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2010,c_1712]) ).
tff(c_1609,plain,
multiply(sk_c2,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1453,c_240]) ).
tff(c_1683,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1454,c_1609]) ).
tff(c_1265,plain,
! [Z_37] : ( multiply(sk_c2,multiply(sk_c11,Z_37)) = multiply(sk_c10,Z_37) ),
inference(superposition,[status(thm),theory(equality)],[c_240,c_278]) ).
tff(c_1286,plain,
multiply(sk_c2,identity) = multiply(sk_c10,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_181,c_1265]) ).
tff(c_1604,plain,
multiply(sk_c2,identity) = multiply(identity,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_1453,c_1286]) ).
tff(c_1612,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1604]) ).
tff(c_1725,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1683,c_1612]) ).
tff(c_1628,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1454,c_177]) ).
tff(c_1727,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1725,c_1628]) ).
tff(c_2348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2346,c_1727]) ).
tff(c_2349,plain,
! [X1_11,X8_13,X7_10] :
( ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_1711]) ).
tff(c_42527,plain,
! [X1_11,X8_13,X7_10] :
( ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 )
| ( inverse(X8_13) != identity )
| ( sk_c1 != X7_10 )
| ( inverse(X7_10) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2627,c_2733,c_2627,c_2747,c_2733,c_2627,c_2733,c_2627,c_2349]) ).
tff(c_42529,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_42527]) ).
tff(c_2641,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2627,c_190]) ).
tff(c_42531,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42529,c_2641]) ).
tff(c_42532,plain,
! [X8_13,X1_11] :
( ( inverse(X8_13) != identity )
| ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_42527]) ).
tff(c_42534,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_42532]) ).
tff(c_42536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42534,c_2641]) ).
tff(c_42537,plain,
! [X8_13] : ( inverse(X8_13) != identity ),
inference(splitRight,[status(thm)],[c_42532]) ).
tff(c_2404,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1683,c_1612]) ).
tff(c_2406,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2404,c_1628]) ).
tff(c_43915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42537,c_2406]) ).
tff(c_43917,plain,
multiply(sk_c2,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_42,plain,
( ( multiply(sk_c7,sk_c10) = sk_c11 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_43984,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_43917,c_42]) ).
tff(c_40,plain,
( ( inverse(sk_c7) = sk_c11 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_43950,plain,
inverse(sk_c7) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_43917,c_40]) ).
tff(c_43954,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43950,c_4]) ).
tff(c_44027,plain,
! [Z_280] : ( multiply(sk_c11,multiply(sk_c7,Z_280)) = multiply(identity,Z_280) ),
inference(superposition,[status(thm),theory(equality)],[c_43954,c_44000]) ).
tff(c_44224,plain,
! [Z_288] : ( multiply(sk_c11,multiply(sk_c7,Z_288)) = Z_288 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44027]) ).
tff(c_44236,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_43984,c_44224]) ).
tff(c_44750,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_44734,c_44734,c_44236]) ).
tff(c_44769,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44750]) ).
tff(c_44762,plain,
multiply(sk_c2,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_44734,c_43917]) ).
tff(c_45178,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44881,c_44769,c_44762]) ).
tff(c_45180,plain,
multiply(sk_c5,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_120]) ).
tff(c_126,plain,
( ( multiply(sk_c7,sk_c10) = sk_c11 )
| ( multiply(sk_c5,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_45262,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_45180,c_126]) ).
tff(c_124,plain,
( ( inverse(sk_c7) = sk_c11 )
| ( multiply(sk_c5,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_45220,plain,
inverse(sk_c7) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_45180,c_124]) ).
tff(c_45224,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_45220,c_4]) ).
tff(c_45271,plain,
! [X_302,Y_303,Z_304] : ( multiply(multiply(X_302,Y_303),Z_304) = multiply(X_302,multiply(Y_303,Z_304)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_45298,plain,
! [Z_304] : ( multiply(sk_c11,multiply(sk_c7,Z_304)) = multiply(identity,Z_304) ),
inference(superposition,[status(thm),theory(equality)],[c_45224,c_45271]) ).
tff(c_45563,plain,
! [Z_313] : ( multiply(sk_c11,multiply(sk_c7,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45298]) ).
tff(c_45575,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_45262,c_45563]) ).
tff(c_45328,plain,
! [Z_304] : ( multiply(sk_c5,multiply(sk_c4,Z_304)) = multiply(identity,Z_304) ),
inference(superposition,[status(thm),theory(equality)],[c_155,c_45271]) ).
tff(c_45371,plain,
! [Z_306] : ( multiply(sk_c5,multiply(sk_c4,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45328]) ).
tff(c_45383,plain,
multiply(sk_c5,sk_c11) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_222,c_45371]) ).
tff(c_45496,plain,
! [Z_311] : ( multiply(sk_c4,multiply(sk_c5,Z_311)) = multiply(sk_c11,Z_311) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_45271]) ).
tff(c_45511,plain,
multiply(sk_c4,sk_c5) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_45383,c_45496]) ).
tff(c_45521,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_222,c_45511]) ).
tff(c_46340,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_45575,c_45521]) ).
tff(c_46355,plain,
multiply(sk_c5,sk_c10) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_46340,c_45383]) ).
tff(c_45331,plain,
! [X_2,Z_304] : ( multiply(inverse(X_2),multiply(X_2,Z_304)) = multiply(identity,Z_304) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_45271]) ).
tff(c_45346,plain,
! [X_2,Z_304] : ( multiply(inverse(X_2),multiply(X_2,Z_304)) = Z_304 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45331]) ).
tff(c_47986,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_46355,c_45346]) ).
tff(c_47992,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_47986]) ).
tff(c_47900,plain,
! [X_342,Z_343] : ( multiply(inverse(X_342),multiply(X_342,Z_343)) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45331]) ).
tff(c_48521,plain,
! [X_349,Z_350] : ( multiply(inverse(inverse(X_349)),Z_350) = multiply(X_349,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_45346,c_47900]) ).
tff(c_47972,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47900]) ).
tff(c_48528,plain,
! [X_349] : ( multiply(X_349,identity) = X_349 ),
inference(superposition,[status(thm),theory(equality)],[c_48521,c_47972]) ).
tff(c_47999,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47992,c_46340]) ).
tff(c_45313,plain,
! [Z_304] : ( multiply(sk_c1,multiply(sk_c12,Z_304)) = multiply(sk_c11,Z_304) ),
inference(superposition,[status(thm),theory(equality)],[c_215,c_45271]) ).
tff(c_48237,plain,
! [Z_346] : ( multiply(sk_c1,multiply(sk_c12,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47999,c_45313]) ).
tff(c_48267,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_194,c_48237]) ).
tff(c_45179,plain,
inverse(sk_c6) = sk_c12,
inference(splitRight,[status(thm)],[c_120]) ).
tff(c_45184,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_45179,c_4]) ).
tff(c_48264,plain,
multiply(sk_c1,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_45184,c_48237]) ).
tff(c_48295,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_48267,c_48264]) ).
tff(c_122,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( multiply(sk_c5,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_45237,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_45180,c_122]) ).
tff(c_46360,plain,
multiply(sk_c6,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_46340,c_45237]) ).
tff(c_48175,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_47992,c_46360]) ).
tff(c_48330,plain,
multiply(sk_c1,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_48295,c_48175]) ).
tff(c_48333,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_48267,c_48330]) ).
tff(c_48542,plain,
! [X_349] : ( multiply(X_349,inverse(X_349)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_48521,c_4]) ).
tff(c_46445,plain,
! [X_323,Z_324] : ( multiply(inverse(X_323),multiply(X_323,Z_324)) = Z_324 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45331]) ).
tff(c_47096,plain,
! [X_329,Z_330] : ( multiply(inverse(inverse(X_329)),Z_330) = multiply(X_329,Z_330) ),
inference(superposition,[status(thm),theory(equality)],[c_46445,c_45346]) ).
tff(c_46532,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_46445]) ).
tff(c_47106,plain,
! [X_329] : ( multiply(X_329,identity) = X_329 ),
inference(superposition,[status(thm),theory(equality)],[c_47096,c_46532]) ).
tff(c_45319,plain,
! [Z_304] : ( multiply(sk_c12,multiply(sk_c1,Z_304)) = multiply(identity,Z_304) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_45271]) ).
tff(c_45348,plain,
! [Z_305] : ( multiply(sk_c12,multiply(sk_c1,Z_305)) = Z_305 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45319]) ).
tff(c_45360,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_215,c_45348]) ).
tff(c_46356,plain,
multiply(sk_c12,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_46340,c_45360]) ).
tff(c_46469,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_46356,c_46445]) ).
tff(c_46540,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46469]) ).
tff(c_45580,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_45575,c_45521]) ).
tff(c_45596,plain,
multiply(sk_c12,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_45580,c_45360]) ).
tff(c_45750,plain,
! [X_315,Z_316] : ( multiply(inverse(X_315),multiply(X_315,Z_316)) = Z_316 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45331]) ).
tff(c_45780,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_45596,c_45750]) ).
tff(c_45859,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45780]) ).
tff(c_45609,plain,
inverse(sk_c2) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_45580,c_177]) ).
tff(c_45879,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45859,c_45609]) ).
tff(c_45936,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_45879,c_4]) ).
tff(c_46089,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_45936,c_45346]) ).
tff(c_46101,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46089]) ).
tff(c_45588,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_45580,c_45580,c_45575]) ).
tff(c_45441,plain,
! [X5_309] :
( ( inverse(X5_309) != sk_c12 )
| ( multiply(X5_309,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_45451,plain,
inverse(sk_c1) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_215,c_45441]) ).
tff(c_45464,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_45451]) ).
tff(c_45465,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_45579,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_45465]) ).
tff(c_45672,plain,
! [X4_314] :
( ( multiply(inverse(X4_314),sk_c10) != sk_c10 )
| ( multiply(X4_314,inverse(X4_314)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45580,c_45580,c_45579]) ).
tff(c_45674,plain,
( ( multiply(sk_c10,sk_c10) != sk_c10 )
| ( multiply(sk_c2,inverse(sk_c2)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_45609,c_45672]) ).
tff(c_45691,plain,
multiply(sk_c2,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_45609,c_45588,c_45674]) ).
tff(c_46338,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46101,c_45859,c_45859,c_45691]) ).
tff(c_46339,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_45465]) ).
tff(c_46381,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c10 )
| ( inverse(X2_12) != sk_c10 )
| ( multiply(X1_11,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c10 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c10 )
| ( multiply(X7_10,sk_c10) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46340,c_46340,c_46340,c_46340,c_46340,c_46340,c_46340,c_46340,c_46339]) ).
tff(c_46382,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_46381]) ).
tff(c_47871,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_47106,c_46540,c_46540,c_46540,c_46382]) ).
tff(c_46362,plain,
inverse(sk_c7) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46340,c_45220]) ).
tff(c_46377,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46362,c_4]) ).
tff(c_46565,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46540,c_46377]) ).
tff(c_46554,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46540,c_46362]) ).
tff(c_46580,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46565,c_46554]) ).
tff(c_47873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47871,c_46580]) ).
tff(c_47874,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,sk_c10) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c10 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c10 )
| ( multiply(X1_11,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c10 )
| ( inverse(X2_12) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_46381]) ).
tff(c_149125,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( sk_c1 != X7_10 )
| ( inverse(X7_10) != sk_c1 )
| ( inverse(X8_13) != identity )
| ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 )
| ( identity != X2_12 )
| ( inverse(X2_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47992,c_48528,c_47992,c_47992,c_48333,c_48528,c_48333,c_47992,c_48542,c_47992,c_48528,c_47992,c_47992,c_48333,c_48528,c_48333,c_47992,c_47874]) ).
tff(c_149127,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_149125]) ).
tff(c_48008,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47992,c_46377]) ).
tff(c_47998,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47992,c_46362]) ).
tff(c_48013,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48008,c_47998]) ).
tff(c_149129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149127,c_48013]) ).
tff(c_149130,plain,
! [X1_11,X8_13,X7_10] :
( ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 )
| ( inverse(X8_13) != identity )
| ( sk_c1 != X7_10 )
| ( inverse(X7_10) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_149125]) ).
tff(c_312047,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_149130]) ).
tff(c_48348,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_48333,c_190]) ).
tff(c_312049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_312047,c_48348]) ).
tff(c_312050,plain,
! [X8_13,X1_11] :
( ( inverse(X8_13) != identity )
| ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_149130]) ).
tff(c_315272,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_312050]) ).
tff(c_315274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_315272,c_48348]) ).
tff(c_315275,plain,
! [X8_13] : ( inverse(X8_13) != identity ),
inference(splitRight,[status(thm)],[c_312050]) ).
tff(c_315277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_315275,c_48013]) ).
tff(c_315279,plain,
multiply(sk_c4,sk_c5) != sk_c11,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_98,plain,
( ( multiply(sk_c7,sk_c10) = sk_c11 )
| ( multiply(sk_c4,sk_c5) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_315375,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_315279,c_98]) ).
tff(c_96,plain,
( ( inverse(sk_c7) = sk_c11 )
| ( multiply(sk_c4,sk_c5) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_315306,plain,
inverse(sk_c7) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_315279,c_96]) ).
tff(c_315310,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_315306,c_4]) ).
tff(c_315380,plain,
! [X_862,Y_863,Z_864] : ( multiply(multiply(X_862,Y_863),Z_864) = multiply(X_862,multiply(Y_863,Z_864)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_315413,plain,
! [Z_864] : ( multiply(sk_c11,multiply(sk_c7,Z_864)) = multiply(identity,Z_864) ),
inference(superposition,[status(thm),theory(equality)],[c_315310,c_315380]) ).
tff(c_315743,plain,
! [Z_875] : ( multiply(sk_c11,multiply(sk_c7,Z_875)) = Z_875 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_315413]) ).
tff(c_315755,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_315375,c_315743]) ).
tff(c_315428,plain,
! [Z_864] : ( multiply(sk_c12,multiply(sk_c1,Z_864)) = multiply(identity,Z_864) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_315380]) ).
tff(c_315457,plain,
! [Z_865] : ( multiply(sk_c12,multiply(sk_c1,Z_865)) = Z_865 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_315428]) ).
tff(c_315469,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_215,c_315457]) ).
tff(c_315766,plain,
! [Z_876] : ( multiply(sk_c1,multiply(sk_c12,Z_876)) = multiply(sk_c11,Z_876) ),
inference(superposition,[status(thm),theory(equality)],[c_215,c_315380]) ).
tff(c_315787,plain,
multiply(sk_c11,sk_c11) = multiply(sk_c1,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_315469,c_315766]) ).
tff(c_315803,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_315755,c_215,c_315787]) ).
tff(c_315805,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_315803,c_315803,c_315755]) ).
tff(c_315440,plain,
! [X_2,Z_864] : ( multiply(inverse(X_2),multiply(X_2,Z_864)) = multiply(identity,Z_864) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_315380]) ).
tff(c_315914,plain,
! [X_877,Z_878] : ( multiply(inverse(X_877),multiply(X_877,Z_878)) = Z_878 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_315440]) ).
tff(c_315932,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_315805,c_315914]) ).
tff(c_316014,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_315932]) ).
tff(c_315823,plain,
inverse(sk_c2) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_315803,c_177]) ).
tff(c_315838,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_315823,c_4]) ).
tff(c_316049,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_316014,c_315838]) ).
tff(c_316033,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_316014,c_315823]) ).
tff(c_316068,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_316049,c_316033]) ).
tff(c_316035,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_316014,c_315803]) ).
tff(c_128,plain,
( ( multiply(sk_c8,sk_c9) = sk_c11 )
| ( multiply(sk_c5,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_315341,plain,
multiply(sk_c5,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_128]) ).
tff(c_315407,plain,
! [Z_864] : ( multiply(sk_c5,multiply(sk_c10,Z_864)) = multiply(sk_c11,Z_864) ),
inference(superposition,[status(thm),theory(equality)],[c_315341,c_315380]) ).
tff(c_316177,plain,
! [Z_879] : ( multiply(sk_c5,Z_879) = Z_879 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_316035,c_2,c_316014,c_315407]) ).
tff(c_316192,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_316177,c_155]) ).
tff(c_316207,plain,
inverse(identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_316192,c_151]) ).
tff(c_316210,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_316068,c_316207]) ).
tff(c_315819,plain,
multiply(sk_c4,sk_c5) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_315803,c_315279]) ).
tff(c_316025,plain,
multiply(sk_c4,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_316014,c_315819]) ).
tff(c_316251,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_316210,c_2,c_316192,c_316025]) ).
tff(c_316253,plain,
multiply(sk_c5,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_128]) ).
tff(c_316277,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_316253,c_126]) ).
tff(c_316292,plain,
! [X_880,Y_881,Z_882] : ( multiply(multiply(X_880,Y_881),Z_882) = multiply(X_880,multiply(Y_881,Z_882)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_316322,plain,
! [Z_882] : ( multiply(sk_c11,multiply(sk_c7,Z_882)) = multiply(identity,Z_882) ),
inference(superposition,[status(thm),theory(equality)],[c_315310,c_316292]) ).
tff(c_317300,plain,
! [Z_899] : ( multiply(sk_c11,multiply(sk_c7,Z_899)) = Z_899 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_316322]) ).
tff(c_317312,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_316277,c_317300]) ).
tff(c_316337,plain,
! [Z_882] : ( multiply(sk_c12,multiply(sk_c1,Z_882)) = multiply(identity,Z_882) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_316292]) ).
tff(c_316424,plain,
! [Z_886] : ( multiply(sk_c12,multiply(sk_c1,Z_886)) = Z_886 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_316337]) ).
tff(c_316436,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_215,c_316424]) ).
tff(c_317402,plain,
! [Z_903] : ( multiply(sk_c1,multiply(sk_c12,Z_903)) = multiply(sk_c11,Z_903) ),
inference(superposition,[status(thm),theory(equality)],[c_215,c_316292]) ).
tff(c_317423,plain,
multiply(sk_c11,sk_c11) = multiply(sk_c1,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_316436,c_317402]) ).
tff(c_317439,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_215,c_317312,c_317423]) ).
tff(c_317446,plain,
multiply(sk_c12,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_317439,c_316436]) ).
tff(c_316349,plain,
! [X_2,Z_882] : ( multiply(inverse(X_2),multiply(X_2,Z_882)) = multiply(identity,Z_882) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_316292]) ).
tff(c_317555,plain,
! [X_904,Z_905] : ( multiply(inverse(X_904),multiply(X_904,Z_905)) = Z_905 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_316349]) ).
tff(c_317585,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_317446,c_317555]) ).
tff(c_317644,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_317585]) ).
tff(c_317455,plain,
multiply(sk_c4,sk_c5) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_317439,c_315279]) ).
tff(c_317757,plain,
multiply(sk_c4,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_317644,c_317455]) ).
tff(c_316364,plain,
! [X_2,Z_882] : ( multiply(inverse(X_2),multiply(X_2,Z_882)) = Z_882 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_316349]) ).
tff(c_318027,plain,
! [X_909,Z_910] : ( multiply(inverse(inverse(X_909)),Z_910) = multiply(X_909,Z_910) ),
inference(superposition,[status(thm),theory(equality)],[c_317555,c_316364]) ).
tff(c_317636,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_317555]) ).
tff(c_318087,plain,
! [X_911] : ( multiply(X_911,identity) = X_911 ),
inference(superposition,[status(thm),theory(equality)],[c_318027,c_317636]) ).
tff(c_317630,plain,
multiply(inverse(sk_c5),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_155,c_317555]) ).
tff(c_318104,plain,
inverse(sk_c5) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_318087,c_317630]) ).
tff(c_318182,plain,
multiply(sk_c4,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_318104,c_4]) ).
tff(c_318188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_317757,c_318182]) ).
tff(c_318190,plain,
multiply(sk_c1,sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_16,plain,
( ( multiply(sk_c8,sk_c9) = sk_c11 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_322348,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_318190,c_16]) ).
tff(c_318189,plain,
inverse(sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_318195,plain,
multiply(sk_c9,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_318189,c_4]) ).
tff(c_322375,plain,
! [X_985,Y_986,Z_987] : ( multiply(multiply(X_985,Y_986),Z_987) = multiply(X_985,multiply(Y_986,Z_987)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_322408,plain,
! [Z_987] : ( multiply(sk_c9,multiply(sk_c8,Z_987)) = multiply(identity,Z_987) ),
inference(superposition,[status(thm),theory(equality)],[c_318195,c_322375]) ).
tff(c_323378,plain,
! [Z_1010] : ( multiply(sk_c9,multiply(sk_c8,Z_1010)) = Z_1010 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_322408]) ).
tff(c_323390,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_322348,c_323378]) ).
tff(c_322426,plain,
! [X_2,Z_987] : ( multiply(inverse(X_2),multiply(X_2,Z_987)) = multiply(identity,Z_987) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_322375]) ).
tff(c_323450,plain,
! [X_1012,Z_1013] : ( multiply(inverse(X_1012),multiply(X_1012,Z_1013)) = Z_1013 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_322426]) ).
tff(c_323483,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_323390,c_323450]) ).
tff(c_323588,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_323483]) ).
tff(c_322420,plain,
! [Z_987] : ( multiply(sk_c12,multiply(sk_c3,Z_987)) = multiply(identity,Z_987) ),
inference(superposition,[status(thm),theory(equality)],[c_167,c_322375]) ).
tff(c_322981,plain,
! [Z_998] : ( multiply(sk_c12,multiply(sk_c3,Z_998)) = Z_998 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_322420]) ).
tff(c_322993,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_208,c_322981]) ).
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_323000,plain,
! [Z_5] : ( multiply(sk_c12,multiply(sk_c12,Z_5)) = multiply(sk_c11,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_322993,c_6]) ).
tff(c_324136,plain,
! [Z_1019] : ( multiply(sk_c12,multiply(sk_c12,Z_1019)) = Z_1019 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_323588,c_323000]) ).
tff(c_324169,plain,
multiply(sk_c12,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_194,c_324136]) ).
tff(c_322033,plain,
! [X5_980] :
( ( inverse(X5_980) != sk_c12 )
| ( multiply(X5_980,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_322044,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_322033]) ).
tff(c_322051,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_322044]) ).
tff(c_321045,plain,
! [X5_959] :
( ( inverse(X5_959) != sk_c12 )
| ( multiply(X5_959,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_321053,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_321045]) ).
tff(c_321070,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_321053]) ).
tff(c_320897,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_318190,c_16]) ).
tff(c_320928,plain,
! [X_953,Y_954,Z_955] : ( multiply(multiply(X_953,Y_954),Z_955) = multiply(X_953,multiply(Y_954,Z_955)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_320985,plain,
! [X_2,Z_955] : ( multiply(inverse(X_2),multiply(X_2,Z_955)) = multiply(identity,Z_955) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_320928]) ).
tff(c_321195,plain,
! [X_964,Z_965] : ( multiply(inverse(X_964),multiply(X_964,Z_965)) = Z_965 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320985]) ).
tff(c_321261,plain,
multiply(inverse(sk_c8),sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_320897,c_321195]) ).
tff(c_321331,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_318189,c_321261]) ).
tff(c_321000,plain,
! [X_2,Z_955] : ( multiply(inverse(X_2),multiply(X_2,Z_955)) = Z_955 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320985]) ).
tff(c_321407,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_321331,c_321000]) ).
tff(c_321413,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_321407]) ).
tff(c_321415,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_321070,c_321413]) ).
tff(c_321417,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_321053]) ).
tff(c_321432,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_321417,c_181]) ).
tff(c_321477,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_321432,c_2]) ).
tff(c_44,plain,
( ( multiply(sk_c8,sk_c9) = sk_c11 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_320891,plain,
multiply(sk_c2,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_321424,plain,
multiply(sk_c2,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_321417,c_320891]) ).
tff(c_321558,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_321477,c_321424]) ).
tff(c_320886,plain,
multiply(sk_c5,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_122]) ).
tff(c_321425,plain,
multiply(sk_c5,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_321417,c_320886]) ).
tff(c_321559,plain,
multiply(sk_c5,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_321558,c_321425]) ).
tff(c_321781,plain,
! [Z_5] : ( multiply(sk_c5,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_321559,c_6]) ).
tff(c_321791,plain,
! [Z_971] : ( multiply(sk_c5,Z_971) = Z_971 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_321781]) ).
tff(c_321810,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_321791,c_155]) ).
tff(c_318204,plain,
multiply(sk_c4,sk_c5) = sk_c11,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_318298,plain,
! [X_912,Y_913,Z_914] : ( multiply(multiply(X_912,Y_913),Z_914) = multiply(X_912,multiply(Y_913,Z_914)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_318355,plain,
! [Z_914] : ( multiply(sk_c5,multiply(sk_c4,Z_914)) = multiply(identity,Z_914) ),
inference(superposition,[status(thm),theory(equality)],[c_155,c_318298]) ).
tff(c_319105,plain,
! [Z_930] : ( multiply(sk_c5,multiply(sk_c4,Z_930)) = Z_930 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_318355]) ).
tff(c_319117,plain,
multiply(sk_c5,sk_c11) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_318204,c_319105]) ).
tff(c_318358,plain,
! [X_2,Z_914] : ( multiply(inverse(X_2),multiply(X_2,Z_914)) = multiply(identity,Z_914) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_318298]) ).
tff(c_319988,plain,
! [X_946,Z_947] : ( multiply(inverse(X_946),multiply(X_946,Z_947)) = Z_947 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_318358]) ).
tff(c_320036,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_319117,c_319988]) ).
tff(c_320123,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_320036]) ).
tff(c_318352,plain,
! [Z_914] : ( multiply(sk_c12,multiply(sk_c3,Z_914)) = multiply(identity,Z_914) ),
inference(superposition,[status(thm),theory(equality)],[c_167,c_318298]) ).
tff(c_319128,plain,
! [Z_931] : ( multiply(sk_c12,multiply(sk_c3,Z_931)) = Z_931 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_318352]) ).
tff(c_319140,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_208,c_319128]) ).
tff(c_319160,plain,
! [Z_5] : ( multiply(sk_c12,multiply(sk_c12,Z_5)) = multiply(sk_c11,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_319140,c_6]) ).
tff(c_320680,plain,
! [Z_952] : ( multiply(sk_c12,multiply(sk_c12,Z_952)) = Z_952 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320123,c_319160]) ).
tff(c_320713,plain,
multiply(sk_c12,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_194,c_320680]) ).
tff(c_318343,plain,
! [Z_914] : ( multiply(sk_c3,multiply(sk_c11,Z_914)) = multiply(sk_c12,Z_914) ),
inference(superposition,[status(thm),theory(equality)],[c_208,c_318298]) ).
tff(c_320335,plain,
! [Z_914] : ( multiply(sk_c3,Z_914) = multiply(sk_c12,Z_914) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320123,c_318343]) ).
tff(c_320162,plain,
multiply(sk_c3,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_320123,c_208]) ).
tff(c_320418,plain,
multiply(sk_c12,identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_320335,c_320162]) ).
tff(c_320749,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_320713,c_320418]) ).
tff(c_320775,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_320749,c_190]) ).
tff(c_320794,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_320775,c_4]) ).
tff(c_320161,plain,
multiply(sk_c1,sk_c12) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_320123,c_318190]) ).
tff(c_320771,plain,
multiply(sk_c1,sk_c1) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_320749,c_320161]) ).
tff(c_320829,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_320794,c_320771]) ).
tff(c_320831,plain,
multiply(sk_c4,sk_c5) != sk_c11,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_321429,plain,
multiply(sk_c4,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_321417,c_320831]) ).
tff(c_321823,plain,
multiply(identity,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_321810,c_321429]) ).
tff(c_321827,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_321823]) ).
tff(c_321433,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_321417,c_177]) ).
tff(c_321486,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_321477,c_321433]) ).
tff(c_321826,plain,
inverse(identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_321810,c_151]) ).
tff(c_321830,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_321486,c_321826]) ).
tff(c_321837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_321827,c_321830]) ).
tff(c_321838,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_321876,plain,
! [X_972,Y_973,Z_974] : ( multiply(multiply(X_972,Y_973),Z_974) = multiply(X_972,multiply(Y_973,Z_974)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_321912,plain,
! [Z_974] : ( multiply(sk_c9,multiply(sk_c8,Z_974)) = multiply(identity,Z_974) ),
inference(superposition,[status(thm),theory(equality)],[c_318195,c_321876]) ).
tff(c_322010,plain,
! [Z_979] : ( multiply(sk_c9,multiply(sk_c8,Z_979)) = Z_979 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_321912]) ).
tff(c_322022,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_321838,c_322010]) ).
tff(c_321930,plain,
! [X_2,Z_974] : ( multiply(inverse(X_2),multiply(X_2,Z_974)) = multiply(identity,Z_974) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_321876]) ).
tff(c_322092,plain,
! [X_983,Z_984] : ( multiply(inverse(X_983),multiply(X_983,Z_984)) = Z_984 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_321930]) ).
tff(c_322119,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_322022,c_322092]) ).
tff(c_322210,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_322119]) ).
tff(c_322212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322051,c_322210]) ).
tff(c_322214,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_322044]) ).
tff(c_322231,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_322214,c_181]) ).
tff(c_322298,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_322231,c_2]) ).
tff(c_321839,plain,
multiply(sk_c2,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_322222,plain,
multiply(sk_c2,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_322214,c_321839]) ).
tff(c_322324,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_322298,c_322222]) ).
tff(c_12,plain,
( ( inverse(sk_c7) = sk_c11 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_320856,plain,
inverse(sk_c7) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_318190,c_12]) ).
tff(c_322227,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_322214,c_320856]) ).
tff(c_322240,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_322227,c_4]) ).
tff(c_322257,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_322240,c_2]) ).
tff(c_320880,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_320831,c_98]) ).
tff(c_322225,plain,
multiply(sk_c7,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_322214,c_320880]) ).
tff(c_322334,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_322257,c_322225]) ).
tff(c_322335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322324,c_322334]) ).
tff(c_322336,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(splitRight,[status(thm)],[c_122]) ).
tff(c_323782,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_323588,c_322336]) ).
tff(c_322396,plain,
! [Z_987] : ( multiply(sk_c6,multiply(sk_c11,Z_987)) = multiply(sk_c12,Z_987) ),
inference(superposition,[status(thm),theory(equality)],[c_322336,c_322375]) ).
tff(c_324011,plain,
! [Z_1017] : ( multiply(sk_c6,Z_1017) = multiply(sk_c12,Z_1017) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_323588,c_322396]) ).
tff(c_324029,plain,
multiply(sk_c12,identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_323782,c_324011]) ).
tff(c_324205,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_324169,c_324029]) ).
tff(c_324230,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_324205,c_194]) ).
tff(c_323784,plain,
multiply(sk_c1,sk_c12) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_323588,c_318190]) ).
tff(c_324228,plain,
multiply(sk_c1,sk_c1) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_324205,c_323784]) ).
tff(c_324270,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_324230,c_324228]) ).
tff(c_324272,plain,
multiply(sk_c3,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_325342,plain,
multiply(sk_c3,identity) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_325113,c_324272]) ).
tff(c_325788,plain,
multiply(sk_c1,identity) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_325787,c_325342]) ).
tff(c_325792,plain,
sk_c12 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_325493,c_325788]) ).
tff(c_80,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( multiply(sk_c3,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_324375,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_324272,c_80]) ).
tff(c_78,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( multiply(sk_c3,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_324321,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_324272,c_78]) ).
tff(c_324325,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_324321,c_4]) ).
tff(c_324417,plain,
! [Z_1022] : ( multiply(sk_c12,multiply(sk_c6,Z_1022)) = multiply(identity,Z_1022) ),
inference(superposition,[status(thm),theory(equality)],[c_324325,c_324387]) ).
tff(c_324954,plain,
! [Z_1037] : ( multiply(sk_c12,multiply(sk_c6,Z_1037)) = Z_1037 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_324417]) ).
tff(c_324966,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_324375,c_324954]) ).
tff(c_325331,plain,
multiply(sk_c12,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_325113,c_324966]) ).
tff(c_325459,plain,
! [Z_1022] : ( multiply(sk_c1,multiply(sk_c12,Z_1022)) = Z_1022 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_325113,c_324429]) ).
tff(c_325602,plain,
multiply(sk_c1,identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_325331,c_325459]) ).
tff(c_325804,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_325493,c_325602]) ).
tff(c_325805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_325792,c_325804]) ).
tff(c_325806,plain,
inverse(sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_325807,plain,
multiply(sk_c1,sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_325876,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_325807,c_16]) ).
tff(c_326080,plain,
! [X_1055,Z_1056] : ( multiply(inverse(X_1055),multiply(X_1055,Z_1056)) = Z_1056 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_325962]) ).
tff(c_326128,plain,
multiply(inverse(sk_c8),sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_325876,c_326080]) ).
tff(c_326191,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_325806,c_326128]) ).
tff(c_325977,plain,
! [X_2,Z_1048] : ( multiply(inverse(X_2),multiply(X_2,Z_1048)) = Z_1048 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_325962]) ).
tff(c_326212,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_326191,c_325977]) ).
tff(c_326218,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_326212]) ).
tff(c_326220,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_326079,c_326218]) ).
tff(c_326222,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_326066]) ).
tff(c_326237,plain,
multiply(sk_c3,identity) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_326222,c_324272]) ).
tff(c_326603,plain,
multiply(sk_c1,identity) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_326602,c_326237]) ).
tff(c_8,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_325824,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_325807,c_8]) ).
tff(c_325828,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_325824,c_4]) ).
tff(c_326449,plain,
multiply(inverse(sk_c12),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_325828,c_326407]) ).
tff(c_326614,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_326461,c_326449]) ).
tff(c_10,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_325860,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_325807,c_10]) ).
tff(c_326234,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_326222,c_325860]) ).
tff(c_326615,plain,
multiply(sk_c1,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_326614,c_326234]) ).
tff(c_326619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_326603,c_326615]) ).
tff(c_326621,plain,
inverse(sk_c1) != sk_c12,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_30,plain,
( ( multiply(sk_c8,sk_c9) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_326661,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_326621,c_30]) ).
tff(c_32,plain,
( ( inverse(sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_326634,plain,
inverse(sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_326621,c_32]) ).
tff(c_326638,plain,
multiply(sk_c9,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_326634,c_4]) ).
tff(c_326757,plain,
! [Z_1065] : ( multiply(sk_c9,multiply(sk_c8,Z_1065)) = multiply(identity,Z_1065) ),
inference(superposition,[status(thm),theory(equality)],[c_326638,c_326727]) ).
tff(c_327454,plain,
! [Z_1081] : ( multiply(sk_c9,multiply(sk_c8,Z_1081)) = Z_1081 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_326757]) ).
tff(c_327466,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_326661,c_327454]) ).
tff(c_327779,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_327466,c_327761]) ).
tff(c_327867,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_327779]) ).
tff(c_28,plain,
( ( multiply(sk_c7,sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_326700,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_326621,c_28]) ).
tff(c_26,plain,
( ( inverse(sk_c7) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_326648,plain,
inverse(sk_c7) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_326621,c_26]) ).
tff(c_326652,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_326648,c_4]) ).
tff(c_326754,plain,
! [Z_1065] : ( multiply(sk_c11,multiply(sk_c7,Z_1065)) = multiply(identity,Z_1065) ),
inference(superposition,[status(thm),theory(equality)],[c_326652,c_326727]) ).
tff(c_327431,plain,
! [Z_1080] : ( multiply(sk_c11,multiply(sk_c7,Z_1080)) = Z_1080 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_326754]) ).
tff(c_327443,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_326700,c_327431]) ).
tff(c_327879,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_327867,c_327867,c_327443]) ).
tff(c_327892,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_327879]) ).
tff(c_327478,plain,
! [X_1082,Z_1083] : ( multiply(inverse(X_1082),multiply(X_1082,Z_1083)) = Z_1083 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_326772]) ).
tff(c_327496,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_327466,c_327478]) ).
tff(c_327581,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_327496]) ).
tff(c_327602,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_327581,c_181]) ).
tff(c_327672,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_327602,c_326786]) ).
tff(c_327684,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_327672]) ).
tff(c_327603,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_327581,c_177]) ).
tff(c_327688,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_327684,c_327603]) ).
tff(c_327592,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_327581,c_327581,c_327443]) ).
tff(c_327604,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_327592]) ).
tff(c_326691,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_326621,c_24]) ).
tff(c_326620,plain,
inverse(sk_c6) = sk_c12,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_326626,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_326620,c_4]) ).
tff(c_326760,plain,
! [Z_1065] : ( multiply(sk_c12,multiply(sk_c6,Z_1065)) = multiply(identity,Z_1065) ),
inference(superposition,[status(thm),theory(equality)],[c_326626,c_326727]) ).
tff(c_326827,plain,
! [Z_1069] : ( multiply(sk_c12,multiply(sk_c6,Z_1069)) = Z_1069 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_326760]) ).
tff(c_326839,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_326691,c_326827]) ).
tff(c_326874,plain,
! [X5_1071] :
( ( inverse(X5_1071) != sk_c12 )
| ( multiply(X5_1071,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_326890,plain,
inverse(sk_c12) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_326839,c_326874]) ).
tff(c_326885,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_326874]) ).
tff(c_326892,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_326885]) ).
tff(c_326893,plain,
! [X_1072,Z_1073] : ( multiply(inverse(X_1072),multiply(X_1072,Z_1073)) = Z_1073 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_326772]) ).
tff(c_326944,plain,
multiply(inverse(sk_c8),sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_326661,c_326893]) ).
tff(c_326992,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_326634,c_326944]) ).
tff(c_327001,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_326992,c_326786]) ).
tff(c_327007,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_327001]) ).
tff(c_327009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_326892,c_327007]) ).
tff(c_327011,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_326885]) ).
tff(c_327016,plain,
multiply(sk_c12,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_327011,c_326839]) ).
tff(c_327223,plain,
! [X_1076,Z_1077] : ( multiply(inverse(X_1076),multiply(X_1076,Z_1077)) = Z_1077 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_326772]) ).
tff(c_327241,plain,
multiply(inverse(sk_c12),identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_327016,c_327223]) ).
tff(c_327271,plain,
multiply(inverse(sk_c12),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_167,c_327223]) ).
tff(c_327401,plain,
sk_c3 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_327241,c_327271]) ).
tff(c_327418,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_327401,c_163]) ).
tff(c_327422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_326890,c_327418]) ).
tff(c_327423,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_327470,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_327423]) ).
tff(c_327694,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),identity) != identity )
| ( multiply(X4_14,inverse(X4_14)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_327581,c_327604,c_327581,c_327470]) ).
tff(c_327728,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_327688,c_327694]) ).
tff(c_327739,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_327688,c_2,c_2,c_327728]) ).
tff(c_327740,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_327423]) ).
tff(c_327911,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,identity) != identity )
| ( inverse(X2_12) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_327892,c_327867,c_327867,c_327867,c_327867,c_327892,c_327867,c_327867,c_327867,c_327892,c_327867,c_327740]) ).
tff(c_327912,plain,
! [X6_7] :
( ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_327911]) ).
tff(c_329358,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_328280,c_327912]) ).
tff(c_327889,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_327867,c_181]) ).
tff(c_327944,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_327889,c_2]) ).
tff(c_327890,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_327867,c_177]) ).
tff(c_327954,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_327944,c_327890]) ).
tff(c_329360,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_329358,c_327954]) ).
tff(c_329361,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,identity) != identity )
| ( inverse(X2_12) != identity ) ),
inference(splitRight,[status(thm)],[c_327911]) ).
tff(c_513847,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( sk_c12 != X7_10 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X8_13) != identity )
| ( sk_c12 != X1_11 )
| ( inverse(X1_11) != sk_c12 )
| ( identity != X2_12 )
| ( inverse(X2_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_329769,c_329769,c_329783,c_329769,c_329769,c_329361]) ).
tff(c_513849,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_513847]) ).
tff(c_329405,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_327889,c_326786]) ).
tff(c_329417,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_329405]) ).
tff(c_329421,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_329417,c_327890]) ).
tff(c_513851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_513849,c_329421]) ).
tff(c_513852,plain,
! [X1_11,X8_13,X7_10] :
( ( sk_c12 != X1_11 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X8_13) != identity )
| ( sk_c12 != X7_10 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_513847]) ).
tff(c_513862,plain,
inverse(sk_c12) != sk_c12,
inference(splitLeft,[status(thm)],[c_513852]) ).
tff(c_327848,plain,
multiply(inverse(sk_c12),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_167,c_327761]) ).
tff(c_327794,plain,
multiply(inverse(sk_c12),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_326839,c_327761]) ).
tff(c_329728,plain,
sk_c3 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_327848,c_327867,c_327794]) ).
tff(c_329734,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_329728,c_163]) ).
tff(c_513864,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_513862,c_329734]) ).
tff(c_513865,plain,
! [X8_13,X1_11] :
( ( inverse(X8_13) != identity )
| ( sk_c12 != X1_11 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_513852]) ).
tff(c_513867,plain,
inverse(sk_c12) != sk_c12,
inference(splitLeft,[status(thm)],[c_513865]) ).
tff(c_513869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_513867,c_329734]) ).
tff(c_513870,plain,
! [X8_13] : ( inverse(X8_13) != identity ),
inference(splitRight,[status(thm)],[c_513865]) ).
tff(c_513873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_513870,c_329421]) ).
tff(c_513875,plain,
inverse(sk_c2) != sk_c11,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_58,plain,
( ( multiply(sk_c8,sk_c9) = sk_c11 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_513953,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_513875,c_58]) ).
tff(c_513874,plain,
inverse(sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_513879,plain,
multiply(sk_c9,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_513874,c_4]) ).
tff(c_514030,plain,
! [Z_1534] : ( multiply(sk_c9,multiply(sk_c8,Z_1534)) = multiply(identity,Z_1534) ),
inference(superposition,[status(thm),theory(equality)],[c_513879,c_513994]) ).
tff(c_514783,plain,
! [Z_1552] : ( multiply(sk_c9,multiply(sk_c8,Z_1552)) = Z_1552 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_514030]) ).
tff(c_514795,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_513953,c_514783]) ).
tff(c_515111,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_514795,c_515087]) ).
tff(c_515190,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_515111]) ).
tff(c_56,plain,
( ( multiply(sk_c7,sk_c10) = sk_c11 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_513960,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_513875,c_56]) ).
tff(c_54,plain,
( ( inverse(sk_c7) = sk_c11 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_513915,plain,
inverse(sk_c7) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_513875,c_54]) ).
tff(c_513919,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_513915,c_4]) ).
tff(c_514021,plain,
! [Z_1534] : ( multiply(sk_c11,multiply(sk_c7,Z_1534)) = multiply(identity,Z_1534) ),
inference(superposition,[status(thm),theory(equality)],[c_513919,c_513994]) ).
tff(c_514760,plain,
! [Z_1551] : ( multiply(sk_c11,multiply(sk_c7,Z_1551)) = Z_1551 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_514021]) ).
tff(c_514772,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_513960,c_514760]) ).
tff(c_515202,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_515190,c_515190,c_514772]) ).
tff(c_515211,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_515202]) ).
tff(c_513887,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_513891,plain,
multiply(sk_c12,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_513887,c_4]) ).
tff(c_52,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_513946,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_513875,c_52]) ).
tff(c_50,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_513899,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_513875,c_50]) ).
tff(c_513903,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_513899,c_4]) ).
tff(c_514024,plain,
! [Z_1534] : ( multiply(sk_c12,multiply(sk_c6,Z_1534)) = multiply(identity,Z_1534) ),
inference(superposition,[status(thm),theory(equality)],[c_513903,c_513994]) ).
tff(c_515064,plain,
! [Z_1558] : ( multiply(sk_c12,multiply(sk_c6,Z_1558)) = Z_1558 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_514024]) ).
tff(c_515076,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_513946,c_515064]) ).
tff(c_515083,plain,
! [Z_5] : ( multiply(sk_c12,multiply(sk_c12,Z_5)) = multiply(sk_c11,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_515076,c_6]) ).
tff(c_516971,plain,
! [Z_1585] : ( multiply(sk_c12,multiply(sk_c12,Z_1585)) = Z_1585 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_515190,c_515083]) ).
tff(c_517004,plain,
multiply(sk_c12,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_513891,c_516971]) ).
tff(c_514015,plain,
! [Z_1534] : ( multiply(sk_c6,multiply(sk_c11,Z_1534)) = multiply(sk_c12,Z_1534) ),
inference(superposition,[status(thm),theory(equality)],[c_513946,c_513994]) ).
tff(c_516698,plain,
! [Z_1582] : ( multiply(sk_c6,Z_1582) = multiply(sk_c12,Z_1582) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_515190,c_514015]) ).
tff(c_515206,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_515190,c_513946]) ).
tff(c_516704,plain,
multiply(sk_c12,identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_516698,c_515206]) ).
tff(c_517040,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_517004,c_516704]) ).
tff(c_517172,plain,
! [X_1586] : ( multiply(X_1586,inverse(X_1586)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_517128]) ).
tff(c_515626,plain,
! [X_1565,Z_1566] : ( multiply(inverse(inverse(X_1565)),Z_1566) = multiply(X_1565,Z_1566) ),
inference(superposition,[status(thm),theory(equality)],[c_514053,c_515087]) ).
tff(c_515633,plain,
! [X_1565] : ( multiply(X_1565,identity) = X_1565 ),
inference(superposition,[status(thm),theory(equality)],[c_515626,c_515183]) ).
tff(c_514846,plain,
! [X_1555,Z_1556] : ( multiply(inverse(X_1555),multiply(X_1555,Z_1556)) = Z_1556 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_514039]) ).
tff(c_514873,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_514795,c_514846]) ).
tff(c_514953,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_514873]) ).
tff(c_514966,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_514953,c_514953,c_514772]) ).
tff(c_514976,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_514966]) ).
tff(c_514458,plain,
! [X_1546,Z_1547] : ( multiply(inverse(X_1546),multiply(X_1546,Z_1547)) = Z_1547 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_514039]) ).
tff(c_514503,plain,
multiply(inverse(sk_c12),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_513891,c_514458]) ).
tff(c_514141,plain,
! [X5_1540] :
( ( inverse(X5_1540) != sk_c12 )
| ( multiply(X5_1540,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_514149,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_514141]) ).
tff(c_514155,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_514149]) ).
tff(c_514118,plain,
! [Z_1539] : ( multiply(sk_c9,multiply(sk_c8,Z_1539)) = Z_1539 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_514030]) ).
tff(c_514130,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_513953,c_514118]) ).
tff(c_514219,plain,
! [X_1543,Z_1544] : ( multiply(inverse(X_1543),multiply(X_1543,Z_1544)) = Z_1544 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_514039]) ).
tff(c_514249,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_514130,c_514219]) ).
tff(c_514330,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_514249]) ).
tff(c_514332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_514155,c_514330]) ).
tff(c_514334,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_514149]) ).
tff(c_514342,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_514334,c_513946]) ).
tff(c_514482,plain,
multiply(inverse(sk_c6),sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_514342,c_514458]) ).
tff(c_514529,plain,
multiply(sk_c12,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_513899,c_514482]) ).
tff(c_514537,plain,
multiply(inverse(sk_c12),identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_514529,c_514053]) ).
tff(c_514703,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_514503,c_514537]) ).
tff(c_514713,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_514703,c_513887]) ).
tff(c_514081,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c12 )
| ( multiply(X5_6,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_514587,plain,
! [X5_1548] :
( ( inverse(X5_1548) != sk_c12 )
| ( multiply(X5_1548,sk_c12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_514334,c_514081]) ).
tff(c_514603,plain,
inverse(sk_c12) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_514529,c_514587]) ).
tff(c_514706,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_514703,c_514703,c_514603]) ).
tff(c_514745,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_514713,c_514706]) ).
tff(c_514746,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_514799,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_514746]) ).
tff(c_514996,plain,
! [X4_1557] :
( ( multiply(inverse(X4_1557),identity) != identity )
| ( multiply(X4_1557,inverse(X4_1557)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_514953,c_514976,c_514953,c_514799]) ).
tff(c_515011,plain,
multiply(identity,inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_514996]) ).
tff(c_515020,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_515011]) ).
tff(c_514972,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_514953,c_513919]) ).
tff(c_515042,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_514972,c_2]) ).
tff(c_514973,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_514953,c_513915]) ).
tff(c_515052,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_515042,c_514973]) ).
tff(c_515055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_515020,c_515052]) ).
tff(c_515056,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_514746]) ).
tff(c_515216,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != identity )
| ( inverse(X2_12) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_515190,c_515190,c_515190,c_515190,c_515190,c_515190,c_515190,c_515190,c_515056]) ).
tff(c_515217,plain,
! [X6_7] :
( ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_515216]) ).
tff(c_516615,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_515633,c_515211,c_515217]) ).
tff(c_515209,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_515190,c_513915]) ).
tff(c_515228,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_515209,c_4]) ).
tff(c_515235,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_515228,c_514053]) ).
tff(c_515247,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_515235]) ).
tff(c_515251,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_515247,c_515209]) ).
tff(c_516617,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_516615,c_515251]) ).
tff(c_516618,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != identity )
| ( inverse(X2_12) != identity ) ),
inference(splitRight,[status(thm)],[c_515216]) ).
tff(c_706241,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( sk_c1 != X7_10 )
| ( inverse(X7_10) != sk_c1 )
| ( inverse(X8_13) != identity )
| ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 )
| ( identity != X2_12 )
| ( inverse(X2_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_517135,c_515211,c_517040,c_517135,c_517040,c_517172,c_517135,c_515211,c_517040,c_517135,c_517040,c_516618]) ).
tff(c_706243,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_706241]) ).
tff(c_516665,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_515209,c_4]) ).
tff(c_516757,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_516665,c_514053]) ).
tff(c_516769,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_516757]) ).
tff(c_516774,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_516769,c_515209]) ).
tff(c_706245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706243,c_516774]) ).
tff(c_706246,plain,
! [X1_11,X8_13,X7_10] :
( ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 )
| ( inverse(X8_13) != identity )
| ( sk_c1 != X7_10 )
| ( inverse(X7_10) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_706241]) ).
tff(c_753622,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_706246]) ).
tff(c_517001,plain,
multiply(sk_c12,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_513903,c_516971]) ).
tff(c_517012,plain,
sk_c6 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_516704,c_517001]) ).
tff(c_517016,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_517012,c_513899]) ).
tff(c_517058,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_517040,c_517040,c_517016]) ).
tff(c_753624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_753622,c_517058]) ).
tff(c_753625,plain,
! [X8_13,X1_11] :
( ( inverse(X8_13) != identity )
| ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_706246]) ).
tff(c_757042,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_753625]) ).
tff(c_757044,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_757042,c_517058]) ).
tff(c_757045,plain,
! [X8_13] : ( inverse(X8_13) != identity ),
inference(splitRight,[status(thm)],[c_753625]) ).
tff(c_757047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_757045,c_516774]) ).
tff(c_757049,plain,
inverse(sk_c1) != sk_c12,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_757086,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_757049,c_30]) ).
tff(c_757185,plain,
! [Z_2072] : ( multiply(sk_c9,multiply(sk_c8,Z_2072)) = multiply(identity,Z_2072) ),
inference(superposition,[status(thm),theory(equality)],[c_513879,c_757152]) ).
tff(c_757820,plain,
! [Z_2089] : ( multiply(sk_c9,multiply(sk_c8,Z_2089)) = Z_2089 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_757185]) ).
tff(c_757832,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_757086,c_757820]) ).
tff(c_758158,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_757832,c_758128]) ).
tff(c_758225,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_758158]) ).
tff(c_757111,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_513875,c_56]) ).
tff(c_757064,plain,
inverse(sk_c7) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_513875,c_54]) ).
tff(c_757068,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_757064,c_4]) ).
tff(c_757179,plain,
! [Z_2072] : ( multiply(sk_c11,multiply(sk_c7,Z_2072)) = multiply(identity,Z_2072) ),
inference(superposition,[status(thm),theory(equality)],[c_757068,c_757152]) ).
tff(c_757843,plain,
! [Z_2090] : ( multiply(sk_c11,multiply(sk_c7,Z_2090)) = Z_2090 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_757179]) ).
tff(c_757858,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_757111,c_757843]) ).
tff(c_758236,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_758225,c_758225,c_757858]) ).
tff(c_758247,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_758236]) ).
tff(c_757893,plain,
! [X_2092,Z_2093] : ( multiply(inverse(X_2092),multiply(X_2092,Z_2093)) = Z_2093 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_757194]) ).
tff(c_757923,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_757832,c_757893]) ).
tff(c_757990,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_757923]) ).
tff(c_758001,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_757990,c_757990,c_757858]) ).
tff(c_758012,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_758001]) ).
tff(c_758006,plain,
multiply(sk_c7,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_757990,c_757111]) ).
tff(c_758068,plain,
multiply(sk_c7,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_758012,c_758006]) ).
tff(c_758010,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_757990,c_757064]) ).
tff(c_757048,plain,
inverse(sk_c6) = sk_c12,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_757259,plain,
! [X5_2076] :
( ( inverse(X5_2076) != sk_c12 )
| ( multiply(X5_2076,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_757267,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_757259]) ).
tff(c_757273,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_757267]) ).
tff(c_757290,plain,
! [X_2078,Z_2079] : ( multiply(inverse(X_2078),multiply(X_2078,Z_2079)) = Z_2079 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_757194]) ).
tff(c_757335,plain,
multiply(inverse(sk_c8),sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_757086,c_757290]) ).
tff(c_757377,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_513874,c_757335]) ).
tff(c_757399,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_757377,c_757207]) ).
tff(c_757405,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_757399]) ).
tff(c_757407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_757273,c_757405]) ).
tff(c_757409,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_757267]) ).
tff(c_757116,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_513875,c_52]) ).
tff(c_757428,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_757409,c_757116]) ).
tff(c_757578,plain,
! [X_2083,Z_2084] : ( multiply(inverse(X_2083),multiply(X_2083,Z_2084)) = Z_2084 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_757194]) ).
tff(c_757602,plain,
multiply(inverse(sk_c6),sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_757428,c_757578]) ).
tff(c_757644,plain,
multiply(sk_c12,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_757048,c_757602]) ).
tff(c_757653,plain,
multiply(inverse(sk_c12),identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_757644,c_757207]) ).
tff(c_757623,plain,
multiply(inverse(sk_c12),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_167,c_757578]) ).
tff(c_757742,plain,
sk_c3 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_757653,c_757623]) ).
tff(c_757758,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_757742,c_163]) ).
tff(c_757408,plain,
inverse(inverse(sk_c12)) != sk_c12,
inference(splitRight,[status(thm)],[c_757267]) ).
tff(c_757792,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_757758,c_757758,c_757408]) ).
tff(c_757793,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_757885,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_757793]) ).
tff(c_758100,plain,
! [X4_2095] :
( ( multiply(inverse(X4_2095),identity) != identity )
| ( multiply(X4_2095,inverse(X4_2095)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_757990,c_758012,c_757990,c_757885]) ).
tff(c_758102,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(sk_c7,inverse(sk_c7)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_758010,c_758100]) ).
tff(c_758119,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_758068,c_758010,c_2,c_758102]) ).
tff(c_758120,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_757793]) ).
tff(c_758334,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,identity) != identity )
| ( inverse(X2_12) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_758247,c_758225,c_758225,c_758225,c_758225,c_758247,c_758225,c_758225,c_758225,c_758247,c_758225,c_758120]) ).
tff(c_758335,plain,
! [X6_7] :
( ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_758334]) ).
tff(c_759772,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_758619,c_758335]) ).
tff(c_758244,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_758225,c_757068]) ).
tff(c_758319,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_758244,c_757207]) ).
tff(c_758331,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_758319]) ).
tff(c_758245,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_758225,c_757064]) ).
tff(c_758338,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_758331,c_758245]) ).
tff(c_759774,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_759772,c_758338]) ).
tff(c_759775,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,identity) != identity )
| ( inverse(X2_12) != identity ) ),
inference(splitRight,[status(thm)],[c_758334]) ).
tff(c_923098,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( sk_c12 != X7_10 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X8_13) != identity )
| ( sk_c12 != X1_11 )
| ( inverse(X1_11) != sk_c12 )
| ( identity != X2_12 )
| ( inverse(X2_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_760009,c_760009,c_760023,c_760009,c_760009,c_759775]) ).
tff(c_923100,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_923098]) ).
tff(c_759807,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_758331,c_758245]) ).
tff(c_923102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_923100,c_759807]) ).
tff(c_923103,plain,
! [X1_11,X8_13,X7_10] :
( ( sk_c12 != X1_11 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X8_13) != identity )
| ( sk_c12 != X7_10 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_923098]) ).
tff(c_925163,plain,
inverse(sk_c12) != sk_c12,
inference(splitLeft,[status(thm)],[c_923103]) ).
tff(c_760052,plain,
! [X_2125] : ( multiply(X_2125,identity) = X_2125 ),
inference(superposition,[status(thm),theory(equality)],[c_760002,c_758218]) ).
tff(c_758206,plain,
multiply(inverse(sk_c12),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_167,c_758128]) ).
tff(c_757053,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_757048,c_4]) ).
tff(c_758194,plain,
multiply(inverse(sk_c12),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_757053,c_758128]) ).
tff(c_759972,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_758206,c_758194]) ).
tff(c_758240,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_758225,c_757116]) ).
tff(c_759974,plain,
multiply(sk_c3,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_759972,c_758240]) ).
tff(c_760062,plain,
sk_c3 = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_760052,c_759974]) ).
tff(c_760113,plain,
inverse(sk_c12) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_758206,c_760052]) ).
tff(c_760237,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_760062,c_760113]) ).
tff(c_925165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_925163,c_760237]) ).
tff(c_925166,plain,
! [X8_13,X1_11] :
( ( inverse(X8_13) != identity )
| ( sk_c12 != X1_11 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_923103]) ).
tff(c_925168,plain,
inverse(sk_c12) != sk_c12,
inference(splitLeft,[status(thm)],[c_925166]) ).
tff(c_925170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_925168,c_760237]) ).
tff(c_925171,plain,
! [X8_13] : ( inverse(X8_13) != identity ),
inference(splitRight,[status(thm)],[c_925166]) ).
tff(c_927242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_925171,c_759807]) ).
tff(c_927244,plain,
inverse(sk_c3) != sk_c12,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_64,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_927298,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_927244,c_64]) ).
tff(c_927302,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_927298,c_4]) ).
tff(c_928176,plain,
multiply(inverse(sk_c12),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_927302,c_928113]) ).
tff(c_930064,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_928182,c_928176]) ).
tff(c_72,plain,
( ( multiply(sk_c8,sk_c9) = sk_c11 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_927323,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_927244,c_72]) ).
tff(c_74,plain,
( ( inverse(sk_c8) = sk_c9 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_927256,plain,
inverse(sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_927244,c_74]) ).
tff(c_927260,plain,
multiply(sk_c9,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_927256,c_4]) ).
tff(c_927413,plain,
! [Z_2524] : ( multiply(sk_c9,multiply(sk_c8,Z_2524)) = multiply(identity,Z_2524) ),
inference(superposition,[status(thm),theory(equality)],[c_927260,c_927377]) ).
tff(c_927461,plain,
! [Z_2526] : ( multiply(sk_c9,multiply(sk_c8,Z_2526)) = Z_2526 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_927413]) ).
tff(c_927473,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_927323,c_927461]) ).
tff(c_928149,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_927473,c_928113]) ).
tff(c_928219,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_928149]) ).
tff(c_66,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_927328,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_927244,c_66]) ).
tff(c_928341,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_928219,c_927328]) ).
tff(c_930066,plain,
multiply(sk_c1,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_930064,c_928341]) ).
tff(c_930181,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_930139,c_930066]) ).
tff(c_930176,plain,
! [X_2570] : ( multiply(X_2570,inverse(X_2570)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_930132]) ).
tff(c_928742,plain,
! [X_2550,Z_2551] : ( multiply(inverse(inverse(X_2550)),Z_2551) = multiply(X_2550,Z_2551) ),
inference(superposition,[status(thm),theory(equality)],[c_927436,c_928113]) ).
tff(c_928749,plain,
! [X_2550] : ( multiply(X_2550,identity) = X_2550 ),
inference(superposition,[status(thm),theory(equality)],[c_928742,c_928212]) ).
tff(c_70,plain,
( ( multiply(sk_c7,sk_c10) = sk_c11 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_927350,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_927244,c_70]) ).
tff(c_927243,plain,
inverse(sk_c7) = sk_c11,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_927248,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_927243,c_4]) ).
tff(c_927416,plain,
! [Z_2524] : ( multiply(sk_c11,multiply(sk_c7,Z_2524)) = multiply(identity,Z_2524) ),
inference(superposition,[status(thm),theory(equality)],[c_927248,c_927377]) ).
tff(c_928090,plain,
! [Z_2543] : ( multiply(sk_c11,multiply(sk_c7,Z_2543)) = Z_2543 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_927416]) ).
tff(c_928102,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_927350,c_928090]) ).
tff(c_928334,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_928219,c_928219,c_928102]) ).
tff(c_928348,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_928334]) ).
tff(c_928243,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_928219,c_927243]) ).
tff(c_928260,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_928243,c_4]) ).
tff(c_928267,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_928260,c_927436]) ).
tff(c_928279,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_928267]) ).
tff(c_928283,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_928279,c_928243]) ).
tff(c_928230,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_928219,c_928219,c_928102]) ).
tff(c_928244,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_928230]) ).
tff(c_927404,plain,
! [Z_2524] : ( multiply(sk_c12,multiply(sk_c6,Z_2524)) = multiply(identity,Z_2524) ),
inference(superposition,[status(thm),theory(equality)],[c_927302,c_927377]) ).
tff(c_927438,plain,
! [Z_2525] : ( multiply(sk_c12,multiply(sk_c6,Z_2525)) = Z_2525 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_927404]) ).
tff(c_927450,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_927328,c_927438]) ).
tff(c_927514,plain,
! [X5_2529] :
( ( inverse(X5_2529) != sk_c12 )
| ( multiply(X5_2529,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_927530,plain,
inverse(sk_c12) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_927450,c_927514]) ).
tff(c_927525,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_927514]) ).
tff(c_927539,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_927525]) ).
tff(c_927566,plain,
! [X_2532,Z_2533] : ( multiply(inverse(X_2532),multiply(X_2532,Z_2533)) = Z_2533 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_927422]) ).
tff(c_927599,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_927473,c_927566]) ).
tff(c_927669,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_927599]) ).
tff(c_927671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_927539,c_927669]) ).
tff(c_927673,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_927525]) ).
tff(c_927395,plain,
! [Z_2524] : ( multiply(sk_c6,multiply(sk_c11,Z_2524)) = multiply(sk_c12,Z_2524) ),
inference(superposition,[status(thm),theory(equality)],[c_927328,c_927377]) ).
tff(c_927705,plain,
! [Z_2524] : ( multiply(sk_c6,multiply(identity,Z_2524)) = multiply(sk_c12,Z_2524) ),
inference(demodulation,[status(thm),theory(equality)],[c_927673,c_927395]) ).
tff(c_927875,plain,
! [Z_2535] : ( multiply(sk_c6,Z_2535) = multiply(sk_c12,Z_2535) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_927705]) ).
tff(c_927714,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_927673,c_927328]) ).
tff(c_927881,plain,
multiply(sk_c12,identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_927875,c_927714]) ).
tff(c_927721,plain,
! [Z_2524] : ( multiply(sk_c6,Z_2524) = multiply(sk_c12,Z_2524) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_927705]) ).
tff(c_927430,plain,
! [Z_2524] : ( multiply(sk_c12,multiply(sk_c6,Z_2524)) = Z_2524 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_927404]) ).
tff(c_927916,plain,
! [Z_2536] : ( multiply(sk_c12,multiply(sk_c12,Z_2536)) = Z_2536 ),
inference(demodulation,[status(thm),theory(equality)],[c_927721,c_927430]) ).
tff(c_927940,plain,
multiply(sk_c12,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_927302,c_927916]) ).
tff(c_927951,plain,
sk_c6 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_927881,c_927940]) ).
tff(c_928025,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_927951,c_927298]) ).
tff(c_928029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_927530,c_928025]) ).
tff(c_928030,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_928229,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_928030]) ).
tff(c_928314,plain,
! [X4_2546] :
( ( multiply(inverse(X4_2546),identity) != identity )
| ( multiply(X4_2546,inverse(X4_2546)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_928219,c_928244,c_928219,c_928229]) ).
tff(c_928316,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_928283,c_928314]) ).
tff(c_928332,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_928283,c_2,c_2,c_928316]) ).
tff(c_928333,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_928030]) ).
tff(c_928417,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,identity) != identity )
| ( inverse(X2_12) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_928348,c_928219,c_928219,c_928219,c_928219,c_928348,c_928219,c_928219,c_928219,c_928348,c_928219,c_928333]) ).
tff(c_928418,plain,
! [X6_7] :
( ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_928417]) ).
tff(c_929886,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_928749,c_928418]) ).
tff(c_928347,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_928219,c_927243]) ).
tff(c_928364,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_928347,c_4]) ).
tff(c_928371,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_928364,c_927436]) ).
tff(c_928383,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_928371]) ).
tff(c_928387,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_928383,c_928347]) ).
tff(c_929888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_929886,c_928387]) ).
tff(c_929889,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,identity) != identity )
| ( inverse(X2_12) != identity ) ),
inference(splitRight,[status(thm)],[c_928417]) ).
tff(c_1116734,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( sk_c1 != X7_10 )
| ( inverse(X7_10) != sk_c1 )
| ( inverse(X8_13) != identity )
| ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 )
| ( identity != X2_12 )
| ( inverse(X2_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_930139,c_930181,c_930181,c_930139,c_930176,c_930139,c_930181,c_930181,c_930139,c_929889]) ).
tff(c_1116736,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_1116734]) ).
tff(c_1116738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1116736,c_928387]) ).
tff(c_1116739,plain,
! [X1_11,X8_13,X7_10] :
( ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 )
| ( inverse(X8_13) != identity )
| ( sk_c1 != X7_10 )
| ( inverse(X7_10) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_1116734]) ).
tff(c_1120052,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_1116739]) ).
tff(c_930183,plain,
! [X_2572] : ( multiply(X_2572,identity) = X_2572 ),
inference(superposition,[status(thm),theory(equality)],[c_930132,c_928212]) ).
tff(c_930199,plain,
inverse(sk_c12) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_930183,c_928182]) ).
tff(c_930314,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_930181,c_930199]) ).
tff(c_1120054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1120052,c_930314]) ).
tff(c_1120055,plain,
! [X8_13,X1_11] :
( ( inverse(X8_13) != identity )
| ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_1116739]) ).
tff(c_1120057,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_1120055]) ).
tff(c_1120059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1120057,c_930314]) ).
tff(c_1120060,plain,
! [X8_13] : ( inverse(X8_13) != identity ),
inference(splitRight,[status(thm)],[c_1120055]) ).
tff(c_1124134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1120060,c_928387]) ).
tff(c_1124136,plain,
inverse(sk_c1) != sk_c12,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_1124167,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1124136,c_30]) ).
tff(c_1124265,plain,
! [Z_2995] : ( multiply(sk_c9,multiply(sk_c8,Z_2995)) = multiply(identity,Z_2995) ),
inference(superposition,[status(thm),theory(equality)],[c_927260,c_1124232]) ).
tff(c_1125265,plain,
! [Z_3016] : ( multiply(sk_c9,multiply(sk_c8,Z_3016)) = Z_3016 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1124265]) ).
tff(c_1125277,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1124167,c_1125265]) ).
tff(c_1125952,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1125277,c_1125928]) ).
tff(c_1126022,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1125952]) ).
tff(c_1124202,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_927244,c_70]) ).
tff(c_1124268,plain,
! [Z_2995] : ( multiply(sk_c11,multiply(sk_c7,Z_2995)) = multiply(identity,Z_2995) ),
inference(superposition,[status(thm),theory(equality)],[c_927248,c_1124232]) ).
tff(c_1125288,plain,
! [Z_3017] : ( multiply(sk_c11,multiply(sk_c7,Z_3017)) = Z_3017 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1124268]) ).
tff(c_1125300,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1124202,c_1125288]) ).
tff(c_1126067,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1126022,c_1126022,c_1125300]) ).
tff(c_1126080,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1126067]) ).
tff(c_1124874,plain,
! [Z_3010] : ( multiply(sk_c11,multiply(sk_c7,Z_3010)) = Z_3010 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1124268]) ).
tff(c_1124886,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1124202,c_1124874]) ).
tff(c_1124815,plain,
! [Z_3008] : ( multiply(sk_c9,multiply(sk_c8,Z_3008)) = Z_3008 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1124265]) ).
tff(c_1124827,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1124167,c_1124815]) ).
tff(c_1124838,plain,
! [Z_3009] : ( multiply(sk_c8,multiply(sk_c9,Z_3009)) = multiply(sk_c11,Z_3009) ),
inference(superposition,[status(thm),theory(equality)],[c_1124167,c_1124232]) ).
tff(c_1124853,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_1124827,c_1124838]) ).
tff(c_1124866,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_1124167,c_1124853]) ).
tff(c_1124890,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1124886,c_1124866]) ).
tff(c_1124898,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1124890,c_1124890,c_1124886]) ).
tff(c_1125006,plain,
! [X_3012,Z_3013] : ( multiply(inverse(X_3012),multiply(X_3012,Z_3013)) = Z_3013 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1124274]) ).
tff(c_1125027,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1124898,c_1125006]) ).
tff(c_1125067,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1125027]) ).
tff(c_76,plain,
( ( multiply(sk_c9,sk_c10) = sk_c11 )
| ( inverse(sk_c3) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_1124162,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_927244,c_76]) ).
tff(c_1124907,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1124890,c_1124162]) ).
tff(c_1124906,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1124890,c_1124167]) ).
tff(c_1124284,plain,
! [Z_2995] : ( multiply(sk_c9,multiply(sk_c8,Z_2995)) = Z_2995 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1124265]) ).
tff(c_1124976,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1124906,c_1124284]) ).
tff(c_1124982,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1124907,c_1124976]) ).
tff(c_1124987,plain,
multiply(sk_c10,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1124982,c_927260]) ).
tff(c_1125234,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1125067,c_1124987]) ).
tff(c_1124988,plain,
inverse(sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1124982,c_927256]) ).
tff(c_1124180,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_927244,c_66]) ).
tff(c_1124135,plain,
inverse(sk_c6) = sk_c12,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_1124140,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1124135,c_4]) ).
tff(c_1124259,plain,
! [Z_2995] : ( multiply(sk_c12,multiply(sk_c6,Z_2995)) = multiply(identity,Z_2995) ),
inference(superposition,[status(thm),theory(equality)],[c_1124140,c_1124232]) ).
tff(c_1124289,plain,
! [Z_2996] : ( multiply(sk_c12,multiply(sk_c6,Z_2996)) = Z_2996 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1124259]) ).
tff(c_1124301,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1124180,c_1124289]) ).
tff(c_1124349,plain,
! [X5_2999] :
( ( inverse(X5_2999) != sk_c12 )
| ( multiply(X5_2999,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_1124365,plain,
inverse(sk_c12) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1124301,c_1124349]) ).
tff(c_1124360,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1124349]) ).
tff(c_1124367,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_1124360]) ).
tff(c_1124368,plain,
! [X_3000,Z_3001] : ( multiply(inverse(X_3000),multiply(X_3000,Z_3001)) = Z_3001 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1124274]) ).
tff(c_1124410,plain,
multiply(inverse(sk_c8),sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1124167,c_1124368]) ).
tff(c_1124455,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_927256,c_1124410]) ).
tff(c_1124462,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1124455,c_1124287]) ).
tff(c_1124468,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1124462]) ).
tff(c_1124470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1124367,c_1124468]) ).
tff(c_1124472,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_1124360]) ).
tff(c_1124480,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1124472,c_1124180]) ).
tff(c_1124282,plain,
! [Z_2995] : ( multiply(sk_c12,multiply(sk_c6,Z_2995)) = Z_2995 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1124259]) ).
tff(c_1124581,plain,
multiply(sk_c12,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1124480,c_1124282]) ).
tff(c_1124660,plain,
! [X_3003,Z_3004] : ( multiply(inverse(X_3003),multiply(X_3003,Z_3004)) = Z_3004 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1124274]) ).
tff(c_1124678,plain,
multiply(inverse(sk_c12),identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1124581,c_1124660]) ).
tff(c_1124693,plain,
multiply(inverse(sk_c12),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_1124140,c_1124660]) ).
tff(c_1124768,plain,
sk_c6 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1124678,c_1124693]) ).
tff(c_1124783,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1124768,c_1124135]) ).
tff(c_1124786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1124365,c_1124783]) ).
tff(c_1124787,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_1124801,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_1124787]) ).
tff(c_1124923,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),sk_c10) != sk_c10 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1124890,c_1124890,c_1124801]) ).
tff(c_1124996,plain,
( ( multiply(sk_c10,sk_c10) != sk_c10 )
| ( multiply(sk_c8,inverse(sk_c8)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1124988,c_1124923]) ).
tff(c_1125003,plain,
multiply(sk_c8,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1124988,c_1124898,c_1124996]) ).
tff(c_1125250,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1125234,c_1125067,c_1125067,c_1125003]) ).
tff(c_1125251,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_1124787]) ).
tff(c_1125312,plain,
! [X6_3018] :
( ( inverse(X6_3018) != sk_c11 )
| ( multiply(X6_3018,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_1125251]) ).
tff(c_1125333,plain,
( ( inverse(identity) != sk_c11 )
| ( sk_c11 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1125312]) ).
tff(c_1125336,plain,
sk_c11 != sk_c10,
inference(splitLeft,[status(thm)],[c_1125333]) ).
tff(c_1125464,plain,
! [Z_3021] : ( multiply(sk_c8,multiply(sk_c9,Z_3021)) = multiply(sk_c11,Z_3021) ),
inference(superposition,[status(thm),theory(equality)],[c_1124167,c_1124232]) ).
tff(c_1125479,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_1125277,c_1125464]) ).
tff(c_1125492,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1124167,c_1125300,c_1125479]) ).
tff(c_1125494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1125336,c_1125492]) ).
tff(c_1125496,plain,
sk_c11 = sk_c10,
inference(splitRight,[status(thm)],[c_1125333]) ).
tff(c_1125329,plain,
( ( inverse(inverse(sk_c11)) != sk_c11 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1125312]) ).
tff(c_1125635,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c10 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1125496,c_1125496,c_1125329]) ).
tff(c_1125636,plain,
sk_c10 != identity,
inference(splitLeft,[status(thm)],[c_1125635]) ).
tff(c_1125505,plain,
multiply(sk_c6,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1125496,c_1124180]) ).
tff(c_1125507,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1125496,c_1124162]) ).
tff(c_1125506,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1125496,c_1124167]) ).
tff(c_1125556,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1125506,c_1124284]) ).
tff(c_1125562,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1125507,c_1125556]) ).
tff(c_1125566,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1125562,c_1125507]) ).
tff(c_1124250,plain,
! [Z_2995] : ( multiply(sk_c6,multiply(sk_c11,Z_2995)) = multiply(sk_c12,Z_2995) ),
inference(superposition,[status(thm),theory(equality)],[c_1124180,c_1124232]) ).
tff(c_1125657,plain,
! [Z_3023] : ( multiply(sk_c6,multiply(sk_c10,Z_3023)) = multiply(sk_c12,Z_3023) ),
inference(demodulation,[status(thm),theory(equality)],[c_1125496,c_1124250]) ).
tff(c_1125675,plain,
multiply(sk_c6,sk_c10) = multiply(sk_c12,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_1125566,c_1125657]) ).
tff(c_1125688,plain,
multiply(sk_c12,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1125505,c_1125675]) ).
tff(c_1125736,plain,
! [X_3025,Z_3026] : ( multiply(inverse(X_3025),multiply(X_3025,Z_3026)) = Z_3026 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1124274]) ).
tff(c_1125760,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1125688,c_1125736]) ).
tff(c_1125831,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1125760]) ).
tff(c_1125833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1125636,c_1125831]) ).
tff(c_1125835,plain,
sk_c10 = identity,
inference(splitRight,[status(thm)],[c_1125635]) ).
tff(c_1125495,plain,
inverse(identity) != sk_c11,
inference(splitRight,[status(thm)],[c_1125333]) ).
tff(c_1125523,plain,
inverse(identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1125496,c_1125495]) ).
tff(c_1125849,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1125835,c_1125523]) ).
tff(c_1125510,plain,
multiply(sk_c10,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1125496,c_927248]) ).
tff(c_1125845,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1125835,c_1125510]) ).
tff(c_1125907,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_1125845,c_2]) ).
tff(c_1125511,plain,
inverse(sk_c7) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1125496,c_927243]) ).
tff(c_1125850,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1125835,c_1125511]) ).
tff(c_1125916,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1125907,c_1125850]) ).
tff(c_1125919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1125849,c_1125916]) ).
tff(c_1125920,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_1125251]) ).
tff(c_1126127,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,identity) != identity )
| ( inverse(X2_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1126022,c_1126080,c_1126022,c_1126022,c_1126022,c_1126080,c_1126022,c_1126022,c_1125920]) ).
tff(c_1126128,plain,
! [X2_12] :
( ( multiply(X2_12,identity) != identity )
| ( inverse(X2_12) != identity ) ),
inference(splitLeft,[status(thm)],[c_1126127]) ).
tff(c_1127533,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1126424,c_1126128]) ).
tff(c_1126078,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1126022,c_927248]) ).
tff(c_1126112,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_1126078,c_1124287]) ).
tff(c_1126124,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1126112]) ).
tff(c_1126079,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1126022,c_927243]) ).
tff(c_1126130,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1126124,c_1126079]) ).
tff(c_1127535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1127533,c_1126130]) ).
tff(c_1127536,plain,
! [X1_11,X8_13,X7_10] :
( ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_1126127]) ).
tff(c_1304193,plain,
! [X1_11,X8_13,X7_10] :
( ( sk_c12 != X1_11 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X8_13) != identity )
| ( sk_c12 != X7_10 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1127829,c_1127866,c_1127829,c_1127829,c_1127536]) ).
tff(c_1304195,plain,
inverse(sk_c12) != sk_c12,
inference(splitLeft,[status(thm)],[c_1304193]) ).
tff(c_1125985,plain,
multiply(inverse(sk_c12),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_1124140,c_1125928]) ).
tff(c_1125964,plain,
multiply(inverse(sk_c12),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1124301,c_1125928]) ).
tff(c_1127792,plain,
sk_c6 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1125985,c_1126022,c_1125964]) ).
tff(c_1127797,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1127792,c_1124135]) ).
tff(c_1304197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1304195,c_1127797]) ).
tff(c_1304198,plain,
! [X8_13,X1_11] :
( ( inverse(X8_13) != identity )
| ( sk_c12 != X1_11 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_1304193]) ).
tff(c_1304200,plain,
inverse(sk_c12) != sk_c12,
inference(splitLeft,[status(thm)],[c_1304198]) ).
tff(c_1304202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1304200,c_1127797]) ).
tff(c_1304203,plain,
! [X8_13] : ( inverse(X8_13) != identity ),
inference(splitRight,[status(thm)],[c_1304198]) ).
tff(c_1127538,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1126124,c_1126079]) ).
tff(c_1304206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1304203,c_1127538]) ).
tff(c_1304208,plain,
inverse(sk_c4) != sk_c5,
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_114,plain,
( ( multiply(sk_c8,sk_c9) = sk_c11 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_1345167,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_114]) ).
tff(c_1304207,plain,
inverse(sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_1304212,plain,
multiply(sk_c9,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1304207,c_4]) ).
tff(c_1345209,plain,
! [X_3920,Y_3921,Z_3922] : ( multiply(multiply(X_3920,Y_3921),Z_3922) = multiply(X_3920,multiply(Y_3921,Z_3922)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1345248,plain,
! [Z_3922] : ( multiply(sk_c9,multiply(sk_c8,Z_3922)) = multiply(identity,Z_3922) ),
inference(superposition,[status(thm),theory(equality)],[c_1304212,c_1345209]) ).
tff(c_1345988,plain,
! [Z_3939] : ( multiply(sk_c9,multiply(sk_c8,Z_3939)) = Z_3939 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1345248]) ).
tff(c_1346000,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1345167,c_1345988]) ).
tff(c_1345251,plain,
! [X_2,Z_3922] : ( multiply(inverse(X_2),multiply(X_2,Z_3922)) = multiply(identity,Z_3922) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1345209]) ).
tff(c_1347178,plain,
! [X_3960,Z_3961] : ( multiply(inverse(X_3960),multiply(X_3960,Z_3961)) = Z_3961 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1345251]) ).
tff(c_1347217,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1346000,c_1347178]) ).
tff(c_1347293,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1347217]) ).
tff(c_112,plain,
( ( multiply(sk_c7,sk_c10) = sk_c11 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_1345178,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_112]) ).
tff(c_1336953,plain,
! [X_3800,Y_3801,Z_3802] : ( multiply(multiply(X_3800,Y_3801),Z_3802) = multiply(X_3800,multiply(Y_3801,Z_3802)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1336992,plain,
! [X_2,Z_3802] : ( multiply(inverse(X_2),multiply(X_2,Z_3802)) = multiply(identity,Z_3802) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1336953]) ).
tff(c_1338445,plain,
! [X_3835,Z_3836] : ( multiply(inverse(X_3835),multiply(X_3835,Z_3836)) = Z_3836 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1336992]) ).
tff(c_1337004,plain,
! [X_2,Z_3802] : ( multiply(inverse(X_2),multiply(X_2,Z_3802)) = Z_3802 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1336992]) ).
tff(c_1340130,plain,
! [X_3858,Z_3859] : ( multiply(inverse(inverse(X_3858)),Z_3859) = multiply(X_3858,Z_3859) ),
inference(superposition,[status(thm),theory(equality)],[c_1338445,c_1337004]) ).
tff(c_1340171,plain,
! [X_3858] : ( multiply(X_3858,inverse(X_3858)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1340130]) ).
tff(c_1338523,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1338445]) ).
tff(c_1340137,plain,
! [X_3858] : ( multiply(X_3858,identity) = X_3858 ),
inference(superposition,[status(thm),theory(equality)],[c_1340130,c_1338523]) ).
tff(c_1339123,plain,
! [X_3842,Z_3843] : ( multiply(inverse(inverse(X_3842)),Z_3843) = multiply(X_3842,Z_3843) ),
inference(superposition,[status(thm),theory(equality)],[c_1337004,c_1338445]) ).
tff(c_1339130,plain,
! [X_3842] : ( multiply(X_3842,identity) = X_3842 ),
inference(superposition,[status(thm),theory(equality)],[c_1339123,c_1338523]) ).
tff(c_1304234,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_1304238,plain,
multiply(sk_c12,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1304234,c_4]) ).
tff(c_1304353,plain,
! [X_3465,Y_3466,Z_3467] : ( multiply(multiply(X_3465,Y_3466),Z_3467) = multiply(X_3465,multiply(Y_3466,Z_3467)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1304398,plain,
! [X_2,Z_3467] : ( multiply(inverse(X_2),multiply(X_2,Z_3467)) = multiply(identity,Z_3467) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1304353]) ).
tff(c_1307266,plain,
! [X_3521,Z_3522] : ( multiply(inverse(X_3521),multiply(X_3521,Z_3522)) = Z_3522 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304398]) ).
tff(c_1307326,plain,
multiply(inverse(sk_c12),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1304238,c_1307266]) ).
tff(c_1304301,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_114]) ).
tff(c_1304277,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_112]) ).
tff(c_110,plain,
( ( inverse(sk_c7) = sk_c11 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_1304260,plain,
inverse(sk_c7) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_110]) ).
tff(c_1304264,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1304260,c_4]) ).
tff(c_1304383,plain,
! [Z_3467] : ( multiply(sk_c11,multiply(sk_c7,Z_3467)) = multiply(identity,Z_3467) ),
inference(superposition,[status(thm),theory(equality)],[c_1304264,c_1304353]) ).
tff(c_1305125,plain,
! [Z_3484] : ( multiply(sk_c11,multiply(sk_c7,Z_3484)) = Z_3484 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304383]) ).
tff(c_1305140,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1304277,c_1305125]) ).
tff(c_1304395,plain,
! [Z_3467] : ( multiply(sk_c9,multiply(sk_c8,Z_3467)) = multiply(identity,Z_3467) ),
inference(superposition,[status(thm),theory(equality)],[c_1304212,c_1304353]) ).
tff(c_1305089,plain,
! [Z_3482] : ( multiply(sk_c9,multiply(sk_c8,Z_3482)) = Z_3482 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304395]) ).
tff(c_1305101,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1304301,c_1305089]) ).
tff(c_1306247,plain,
! [Z_3506] : ( multiply(sk_c8,multiply(sk_c9,Z_3506)) = multiply(sk_c11,Z_3506) ),
inference(superposition,[status(thm),theory(equality)],[c_1304301,c_1304353]) ).
tff(c_1306262,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_1305101,c_1306247]) ).
tff(c_1306275,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1304301,c_1305140,c_1306262]) ).
tff(c_1306280,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1306275,c_1306275,c_1305140]) ).
tff(c_1304412,plain,
! [X_2,Z_3467] : ( multiply(inverse(X_2),multiply(X_2,Z_3467)) = Z_3467 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304398]) ).
tff(c_1307401,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1306280,c_1304412]) ).
tff(c_1307407,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1307401]) ).
tff(c_108,plain,
( ( multiply(sk_c6,sk_c11) = sk_c12 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_1304307,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_108]) ).
tff(c_106,plain,
( ( inverse(sk_c6) = sk_c12 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_1304246,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_106]) ).
tff(c_1304250,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1304246,c_4]) ).
tff(c_1304386,plain,
! [Z_3467] : ( multiply(sk_c12,multiply(sk_c6,Z_3467)) = multiply(identity,Z_3467) ),
inference(superposition,[status(thm),theory(equality)],[c_1304250,c_1304353]) ).
tff(c_1305151,plain,
! [Z_3485] : ( multiply(sk_c12,multiply(sk_c6,Z_3485)) = Z_3485 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304386]) ).
tff(c_1305163,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1304307,c_1305151]) ).
tff(c_1306279,plain,
multiply(sk_c12,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1306275,c_1305163]) ).
tff(c_1307290,plain,
multiply(inverse(sk_c12),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1306279,c_1307266]) ).
tff(c_1307626,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1307326,c_1307407,c_1307290]) ).
tff(c_1307683,plain,
! [X_3524,Z_3525] : ( multiply(inverse(inverse(X_3524)),Z_3525) = multiply(X_3524,Z_3525) ),
inference(superposition,[status(thm),theory(equality)],[c_1307266,c_1304412]) ).
tff(c_1307338,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1307266]) ).
tff(c_1307690,plain,
! [X_3524] : ( multiply(X_3524,identity) = X_3524 ),
inference(superposition,[status(thm),theory(equality)],[c_1307683,c_1307338]) ).
tff(c_1307724,plain,
! [X_3524] : ( multiply(X_3524,inverse(X_3524)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1307683]) ).
tff(c_1306392,plain,
! [X_3507,Z_3508] : ( multiply(inverse(X_3507),multiply(X_3507,Z_3508)) = Z_3508 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304398]) ).
tff(c_1306467,plain,
multiply(inverse(sk_c12),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1304238,c_1306392]) ).
tff(c_1306410,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1306280,c_1306392]) ).
tff(c_1306486,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1306410]) ).
tff(c_1306431,plain,
multiply(inverse(sk_c12),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1306279,c_1306392]) ).
tff(c_1306693,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1306467,c_1306486,c_1306431]) ).
tff(c_1306793,plain,
! [X_3511,Z_3512] : ( multiply(inverse(inverse(X_3511)),Z_3512) = multiply(X_3511,Z_3512) ),
inference(superposition,[status(thm),theory(equality)],[c_1306392,c_1304412]) ).
tff(c_1306479,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1306392]) ).
tff(c_1306800,plain,
! [X_3511] : ( multiply(X_3511,identity) = X_3511 ),
inference(superposition,[status(thm),theory(equality)],[c_1306793,c_1306479]) ).
tff(c_118,plain,
( ( multiply(sk_c9,sk_c10) = sk_c11 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_1304328,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_118]) ).
tff(c_1304899,plain,
! [X_3478,Z_3479] : ( multiply(inverse(X_3478),multiply(X_3478,Z_3479)) = Z_3479 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304398]) ).
tff(c_1304938,plain,
multiply(inverse(sk_c12),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1304238,c_1304899]) ).
tff(c_1304454,plain,
! [X5_3470] :
( ( inverse(X5_3470) != sk_c12 )
| ( multiply(X5_3470,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_1304462,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1304454]) ).
tff(c_1304479,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_1304462]) ).
tff(c_1304415,plain,
! [Z_3468] : ( multiply(sk_c9,multiply(sk_c8,Z_3468)) = Z_3468 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304395]) ).
tff(c_1304427,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1304301,c_1304415]) ).
tff(c_1304604,plain,
! [X_3476,Z_3477] : ( multiply(inverse(X_3476),multiply(X_3476,Z_3477)) = Z_3477 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304398]) ).
tff(c_1304652,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1304427,c_1304604]) ).
tff(c_1304719,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1304652]) ).
tff(c_1304721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1304479,c_1304719]) ).
tff(c_1304723,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_1304462]) ).
tff(c_1304438,plain,
! [Z_3469] : ( multiply(sk_c12,multiply(sk_c6,Z_3469)) = Z_3469 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304386]) ).
tff(c_1304450,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1304307,c_1304438]) ).
tff(c_1304725,plain,
multiply(sk_c12,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1304723,c_1304450]) ).
tff(c_1304917,plain,
multiply(inverse(sk_c12),identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1304725,c_1304899]) ).
tff(c_1305043,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1304938,c_1304917]) ).
tff(c_1305051,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1305043,c_1304234]) ).
tff(c_1304414,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c12 )
| ( multiply(X5_6,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_1304476,plain,
inverse(sk_c12) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1304450,c_1304414]) ).
tff(c_1305049,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1305043,c_1305043,c_1304476]) ).
tff(c_1305087,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1305051,c_1305049]) ).
tff(c_1305088,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_1305286,plain,
! [X4_3490] :
( ( multiply(inverse(X4_3490),sk_c10) != sk_c11 )
| ( multiply(X4_3490,inverse(X4_3490)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_1305088]) ).
tff(c_1305298,plain,
( ( multiply(sk_c9,sk_c10) != sk_c11 )
| ( multiply(sk_c8,inverse(sk_c8)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1304207,c_1305286]) ).
tff(c_1305309,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1304301,c_1304207,c_1304328,c_1305298]) ).
tff(c_1305310,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_1305088]) ).
tff(c_1305442,plain,
! [X6_3495] :
( ( inverse(X6_3495) != sk_c11 )
| ( multiply(X6_3495,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_1305310]) ).
tff(c_1305463,plain,
( ( inverse(identity) != sk_c11 )
| ( sk_c11 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1305442]) ).
tff(c_1305466,plain,
sk_c11 != sk_c10,
inference(splitLeft,[status(thm)],[c_1305463]) ).
tff(c_1305459,plain,
( ( inverse(inverse(sk_c11)) != sk_c11 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1305442]) ).
tff(c_1305469,plain,
sk_c10 != identity,
inference(splitLeft,[status(thm)],[c_1305459]) ).
tff(c_1305470,plain,
! [X_3496,Z_3497] : ( multiply(inverse(X_3496),multiply(X_3496,Z_3497)) = Z_3497 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304398]) ).
tff(c_1305527,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1305101,c_1305470]) ).
tff(c_1305598,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1305527]) ).
tff(c_1305670,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1305598,c_1305598,c_1305140]) ).
tff(c_1305678,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1305670]) ).
tff(c_1305680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1305469,c_1305678]) ).
tff(c_1305682,plain,
sk_c10 = identity,
inference(splitRight,[status(thm)],[c_1305459]) ).
tff(c_1305448,plain,
( ( inverse(sk_c9) != sk_c11 )
| ( sk_c9 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1305101,c_1305442]) ).
tff(c_1305468,plain,
sk_c9 != sk_c10,
inference(splitLeft,[status(thm)],[c_1305448]) ).
tff(c_1305705,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1305682,c_1305468]) ).
tff(c_1305691,plain,
multiply(sk_c7,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_1305682,c_1304277]) ).
tff(c_1304407,plain,
! [Z_3467] : ( multiply(sk_c11,multiply(sk_c7,Z_3467)) = Z_3467 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304383]) ).
tff(c_1305709,plain,
multiply(sk_c11,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1305691,c_1304407]) ).
tff(c_1304368,plain,
! [Z_3467] : ( multiply(sk_c9,multiply(sk_c10,Z_3467)) = multiply(sk_c11,Z_3467) ),
inference(superposition,[status(thm),theory(equality)],[c_1304328,c_1304353]) ).
tff(c_1305718,plain,
! [Z_3499] : ( multiply(sk_c9,Z_3499) = multiply(sk_c11,Z_3499) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1305682,c_1304368]) ).
tff(c_1305745,plain,
multiply(sk_c11,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1305101,c_1305718]) ).
tff(c_1305823,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1305709,c_1305745]) ).
tff(c_1305824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1305705,c_1305823]) ).
tff(c_1305826,plain,
sk_c9 = sk_c10,
inference(splitRight,[status(thm)],[c_1305448]) ).
tff(c_1305828,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1305826,c_1305826,c_1305101]) ).
tff(c_1304380,plain,
! [Z_3467] : ( multiply(sk_c7,multiply(sk_c10,Z_3467)) = multiply(sk_c11,Z_3467) ),
inference(superposition,[status(thm),theory(equality)],[c_1304277,c_1304353]) ).
tff(c_1305852,plain,
multiply(sk_c7,sk_c10) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_1305828,c_1304380]) ).
tff(c_1305859,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1304277,c_1305140,c_1305852]) ).
tff(c_1305861,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1305466,c_1305859]) ).
tff(c_1305863,plain,
sk_c11 = sk_c10,
inference(splitRight,[status(thm)],[c_1305463]) ).
tff(c_1305994,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c10 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1305863,c_1305863,c_1305459]) ).
tff(c_1305995,plain,
sk_c10 != identity,
inference(splitLeft,[status(thm)],[c_1305994]) ).
tff(c_1305874,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1305863,c_1304328]) ).
tff(c_1305876,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1305863,c_1304301]) ).
tff(c_1304411,plain,
! [Z_3467] : ( multiply(sk_c9,multiply(sk_c8,Z_3467)) = Z_3467 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304395]) ).
tff(c_1305927,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1305876,c_1304411]) ).
tff(c_1305933,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1305874,c_1305927]) ).
tff(c_1305936,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1305933,c_1305874]) ).
tff(c_1306040,plain,
! [X_3503,Z_3504] : ( multiply(inverse(X_3503),multiply(X_3503,Z_3504)) = Z_3504 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1304398]) ).
tff(c_1306067,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1305936,c_1306040]) ).
tff(c_1306143,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1306067]) ).
tff(c_1306145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1305995,c_1306143]) ).
tff(c_1306147,plain,
sk_c10 = identity,
inference(splitRight,[status(thm)],[c_1305994]) ).
tff(c_1305862,plain,
inverse(identity) != sk_c11,
inference(splitRight,[status(thm)],[c_1305463]) ).
tff(c_1305893,plain,
inverse(identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1305863,c_1305862]) ).
tff(c_1306160,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1306147,c_1305893]) ).
tff(c_1305939,plain,
inverse(sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1305933,c_1304207]) ).
tff(c_1305957,plain,
multiply(sk_c10,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1305939,c_4]) ).
tff(c_1306172,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1306147,c_1305957]) ).
tff(c_1306153,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1306147,c_1305939]) ).
tff(c_1306195,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1306172,c_1306153]) ).
tff(c_1306196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1306160,c_1306195]) ).
tff(c_1306197,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_1305310]) ).
tff(c_1306218,plain,
! [X2_3505] :
( ( multiply(X2_3505,sk_c10) != sk_c11 )
| ( inverse(X2_3505) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_1306197]) ).
tff(c_1306231,plain,
inverse(sk_c7) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1304277,c_1306218]) ).
tff(c_1306245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1304260,c_1306231]) ).
tff(c_1306246,plain,
! [X1_11,X8_13,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_1306197]) ).
tff(c_1306324,plain,
! [X1_11,X8_13,X7_10] :
( ( multiply(X1_11,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c10 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c10 )
| ( multiply(X7_10,sk_c10) != sk_c12 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1306275,c_1306275,c_1306275,c_1306275,c_1306246]) ).
tff(c_1306325,plain,
! [X7_10] :
( ( multiply(X7_10,sk_c10) != sk_c12 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_1306324]) ).
tff(c_1307239,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1306693,c_1306800,c_1306693,c_1306486,c_1306325]) ).
tff(c_1306699,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1306693,c_1304234]) ).
tff(c_1307241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1307239,c_1306699]) ).
tff(c_1307242,plain,
! [X8_13,X1_11] :
( ( multiply(inverse(X8_13),sk_c10) != sk_c10 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c10 )
| ( multiply(X1_11,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_1306324]) ).
tff(c_1327431,plain,
! [X8_13,X1_11] :
( ( inverse(X8_13) != identity )
| ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1307626,c_1307690,c_1307626,c_1307407,c_1307724,c_1307407,c_1307690,c_1307407,c_1307407,c_1307242]) ).
tff(c_1327433,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_1327431]) ).
tff(c_1307632,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1307626,c_1304234]) ).
tff(c_1327435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1327433,c_1307632]) ).
tff(c_1327436,plain,
! [X8_13] : ( inverse(X8_13) != identity ),
inference(splitRight,[status(thm)],[c_1327431]) ).
tff(c_1306284,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1306275,c_1304328]) ).
tff(c_1306282,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_1306275,c_1305101]) ).
tff(c_1307250,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1306284,c_1306282]) ).
tff(c_1307254,plain,
inverse(sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1307250,c_1304207]) ).
tff(c_1307262,plain,
multiply(sk_c10,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1307254,c_4]) ).
tff(c_1307465,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1307407,c_1307262]) ).
tff(c_1307413,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1307407,c_1307254]) ).
tff(c_1307467,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1307465,c_1307413]) ).
tff(c_1327438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1327436,c_1307467]) ).
tff(c_1327440,plain,
inverse(sk_c1) != sk_c12,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_1336897,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1327440,c_30]) ).
tff(c_1336989,plain,
! [Z_3802] : ( multiply(sk_c9,multiply(sk_c8,Z_3802)) = multiply(identity,Z_3802) ),
inference(superposition,[status(thm),theory(equality)],[c_1304212,c_1336953]) ).
tff(c_1337542,plain,
! [Z_3814] : ( multiply(sk_c9,multiply(sk_c8,Z_3814)) = Z_3814 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1336989]) ).
tff(c_1337554,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1336897,c_1337542]) ).
tff(c_1338472,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1337554,c_1338445]) ).
tff(c_1338530,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1338472]) ).
tff(c_1336883,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_112]) ).
tff(c_1327555,plain,
! [X_3664,Y_3665,Z_3666] : ( multiply(multiply(X_3664,Y_3665),Z_3666) = multiply(X_3664,multiply(Y_3665,Z_3666)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1327597,plain,
! [X_2,Z_3666] : ( multiply(inverse(X_2),multiply(X_2,Z_3666)) = multiply(identity,Z_3666) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1327555]) ).
tff(c_1329441,plain,
! [X_3704,Z_3705] : ( multiply(inverse(X_3704),multiply(X_3704,Z_3705)) = Z_3705 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1327597]) ).
tff(c_1327610,plain,
! [X_2,Z_3666] : ( multiply(inverse(X_2),multiply(X_2,Z_3666)) = Z_3666 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1327597]) ).
tff(c_1331216,plain,
! [X_3729,Z_3730] : ( multiply(inverse(inverse(X_3729)),Z_3730) = multiply(X_3729,Z_3730) ),
inference(superposition,[status(thm),theory(equality)],[c_1329441,c_1327610]) ).
tff(c_1331254,plain,
! [X_3729] : ( multiply(X_3729,inverse(X_3729)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1331216]) ).
tff(c_1329546,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1329441]) ).
tff(c_1331223,plain,
! [X_3729] : ( multiply(X_3729,identity) = X_3729 ),
inference(superposition,[status(thm),theory(equality)],[c_1331216,c_1329546]) ).
tff(c_1330004,plain,
! [X_3709,Z_3710] : ( multiply(inverse(inverse(X_3709)),Z_3710) = multiply(X_3709,Z_3710) ),
inference(superposition,[status(thm),theory(equality)],[c_1329441,c_1327610]) ).
tff(c_1330011,plain,
! [X_3709] : ( multiply(X_3709,identity) = X_3709 ),
inference(superposition,[status(thm),theory(equality)],[c_1330004,c_1329546]) ).
tff(c_1327504,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_114]) ).
tff(c_1327594,plain,
! [Z_3666] : ( multiply(sk_c9,multiply(sk_c8,Z_3666)) = multiply(identity,Z_3666) ),
inference(superposition,[status(thm),theory(equality)],[c_1304212,c_1327555]) ).
tff(c_1328395,plain,
! [Z_3687] : ( multiply(sk_c9,multiply(sk_c8,Z_3687)) = Z_3687 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1327594]) ).
tff(c_1328407,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1327504,c_1328395]) ).
tff(c_1329480,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1328407,c_1329441]) ).
tff(c_1329556,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1329480]) ).
tff(c_1327494,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_112]) ).
tff(c_1327465,plain,
inverse(sk_c7) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1327440,c_26]) ).
tff(c_1327469,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1327465,c_4]) ).
tff(c_1327582,plain,
! [Z_3666] : ( multiply(sk_c11,multiply(sk_c7,Z_3666)) = multiply(identity,Z_3666) ),
inference(superposition,[status(thm),theory(equality)],[c_1327469,c_1327555]) ).
tff(c_1327612,plain,
! [Z_3667] : ( multiply(sk_c11,multiply(sk_c7,Z_3667)) = Z_3667 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1327582]) ).
tff(c_1327624,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1327494,c_1327612]) ).
tff(c_1329620,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1329556,c_1329556,c_1327624]) ).
tff(c_1329627,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1329620]) ).
tff(c_1327439,plain,
inverse(sk_c6) = sk_c12,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_1327486,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_108]) ).
tff(c_1329246,plain,
! [Z_3701] : ( multiply(sk_c8,multiply(sk_c9,Z_3701)) = multiply(sk_c11,Z_3701) ),
inference(superposition,[status(thm),theory(equality)],[c_1327504,c_1327555]) ).
tff(c_1329261,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_1328407,c_1329246]) ).
tff(c_1329274,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1327504,c_1327624,c_1329261]) ).
tff(c_1329289,plain,
inverse(sk_c7) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1329274,c_1327465]) ).
tff(c_1329286,plain,
multiply(sk_c7,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1329274,c_1327494]) ).
tff(c_34,plain,
( ( multiply(sk_c9,sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_1327511,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1327440,c_34]) ).
tff(c_1327444,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1327439,c_4]) ).
tff(c_1327588,plain,
! [Z_3666] : ( multiply(sk_c12,multiply(sk_c6,Z_3666)) = multiply(identity,Z_3666) ),
inference(superposition,[status(thm),theory(equality)],[c_1327444,c_1327555]) ).
tff(c_1327659,plain,
! [Z_3669] : ( multiply(sk_c12,multiply(sk_c6,Z_3669)) = Z_3669 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1327588]) ).
tff(c_1327671,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1327486,c_1327659]) ).
tff(c_1327635,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c12 )
| ( multiply(X5_6,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_1327697,plain,
inverse(sk_c12) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1327671,c_1327635]) ).
tff(c_1327675,plain,
! [X5_3670] :
( ( inverse(X5_3670) != sk_c12 )
| ( multiply(X5_3670,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_1327683,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1327675]) ).
tff(c_1327700,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_1327683]) ).
tff(c_1327636,plain,
! [Z_3668] : ( multiply(sk_c9,multiply(sk_c8,Z_3668)) = Z_3668 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1327594]) ).
tff(c_1327648,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1327504,c_1327636]) ).
tff(c_1327727,plain,
! [X_3673,Z_3674] : ( multiply(inverse(X_3673),multiply(X_3673,Z_3674)) = Z_3674 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1327597]) ).
tff(c_1327757,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1327648,c_1327727]) ).
tff(c_1327821,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1327757]) ).
tff(c_1327823,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1327700,c_1327821]) ).
tff(c_1327825,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_1327683]) ).
tff(c_1327865,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1327825,c_1327486]) ).
tff(c_1327607,plain,
! [Z_3666] : ( multiply(sk_c12,multiply(sk_c6,Z_3666)) = Z_3666 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1327588]) ).
tff(c_1327937,plain,
multiply(sk_c12,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1327865,c_1327607]) ).
tff(c_1328066,plain,
! [X_3677,Z_3678] : ( multiply(inverse(X_3677),multiply(X_3677,Z_3678)) = Z_3678 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1327597]) ).
tff(c_1328090,plain,
multiply(inverse(sk_c12),identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1327937,c_1328066]) ).
tff(c_1304220,plain,
inverse(sk_c3) = sk_c12,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_1304224,plain,
multiply(sk_c12,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1304220,c_4]) ).
tff(c_1328108,plain,
multiply(inverse(sk_c12),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_1304224,c_1328066]) ).
tff(c_1328202,plain,
sk_c3 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1328090,c_1328108]) ).
tff(c_1328217,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1328202,c_1304220]) ).
tff(c_1328221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1327697,c_1328217]) ).
tff(c_1328222,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_1328350,plain,
! [X4_3685] :
( ( multiply(inverse(X4_3685),sk_c10) != sk_c11 )
| ( multiply(X4_3685,inverse(X4_3685)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_1328222]) ).
tff(c_1328360,plain,
( ( multiply(sk_c9,sk_c10) != sk_c11 )
| ( multiply(sk_c8,inverse(sk_c8)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1304207,c_1328350]) ).
tff(c_1328370,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1327504,c_1304207,c_1327511,c_1328360]) ).
tff(c_1328371,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_1328222]) ).
tff(c_1328549,plain,
! [X6_3692] :
( ( inverse(X6_3692) != sk_c11 )
| ( multiply(X6_3692,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_1328371]) ).
tff(c_1328566,plain,
( ( inverse(inverse(sk_c11)) != sk_c11 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1328549]) ).
tff(c_1328576,plain,
sk_c10 != identity,
inference(splitLeft,[status(thm)],[c_1328566]) ).
tff(c_1328577,plain,
! [X_3693,Z_3694] : ( multiply(inverse(X_3693),multiply(X_3693,Z_3694)) = Z_3694 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1327597]) ).
tff(c_1328619,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1328407,c_1328577]) ).
tff(c_1328695,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1328619]) ).
tff(c_1328727,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1328695,c_1328695,c_1327624]) ).
tff(c_1328735,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1328727]) ).
tff(c_1328737,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1328576,c_1328735]) ).
tff(c_1328739,plain,
sk_c10 = identity,
inference(splitRight,[status(thm)],[c_1328566]) ).
tff(c_1328570,plain,
( ( inverse(identity) != sk_c11 )
| ( sk_c11 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1328549]) ).
tff(c_1328574,plain,
sk_c11 != sk_c10,
inference(splitLeft,[status(thm)],[c_1328570]) ).
tff(c_1328740,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1328739,c_1328574]) ).
tff(c_1327570,plain,
! [Z_3666] : ( multiply(sk_c9,multiply(sk_c10,Z_3666)) = multiply(sk_c11,Z_3666) ),
inference(superposition,[status(thm),theory(equality)],[c_1327511,c_1327555]) ).
tff(c_1328745,plain,
! [Z_3666] : ( multiply(sk_c9,multiply(identity,Z_3666)) = multiply(sk_c11,Z_3666) ),
inference(demodulation,[status(thm),theory(equality)],[c_1328739,c_1327570]) ).
tff(c_1328749,plain,
! [Z_3666] : ( multiply(sk_c9,Z_3666) = multiply(sk_c11,Z_3666) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1328745]) ).
tff(c_1327573,plain,
! [Z_3666] : ( multiply(sk_c8,multiply(sk_c9,Z_3666)) = multiply(sk_c11,Z_3666) ),
inference(superposition,[status(thm),theory(equality)],[c_1327504,c_1327555]) ).
tff(c_1328866,plain,
! [Z_3697] : ( multiply(sk_c8,multiply(sk_c11,Z_3697)) = multiply(sk_c11,Z_3697) ),
inference(demodulation,[status(thm),theory(equality)],[c_1328749,c_1327573]) ).
tff(c_1328890,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_1327469,c_1328866]) ).
tff(c_1328900,plain,
multiply(sk_c8,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1327469,c_1328890]) ).
tff(c_1327609,plain,
! [Z_3666] : ( multiply(sk_c9,multiply(sk_c8,Z_3666)) = Z_3666 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1327594]) ).
tff(c_1328905,plain,
multiply(sk_c9,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1328900,c_1327609]) ).
tff(c_1328747,plain,
multiply(sk_c9,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_1328739,c_1327511]) ).
tff(c_1328914,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1328905,c_1328747]) ).
tff(c_1328916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1328740,c_1328914]) ).
tff(c_1328918,plain,
sk_c11 = sk_c10,
inference(splitRight,[status(thm)],[c_1328570]) ).
tff(c_1329008,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c10 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1328918,c_1328918,c_1328566]) ).
tff(c_1329009,plain,
sk_c10 != identity,
inference(splitLeft,[status(thm)],[c_1329008]) ).
tff(c_1328930,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1328918,c_1327511]) ).
tff(c_1328931,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1328918,c_1327504]) ).
tff(c_1328960,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1328931,c_1327609]) ).
tff(c_1329011,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1328930,c_1328960]) ).
tff(c_1329012,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1329011,c_1328930]) ).
tff(c_1329077,plain,
! [X_3699,Z_3700] : ( multiply(inverse(X_3699),multiply(X_3699,Z_3700)) = Z_3700 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1327597]) ).
tff(c_1329095,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1329012,c_1329077]) ).
tff(c_1329165,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1329095]) ).
tff(c_1329167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1329009,c_1329165]) ).
tff(c_1329169,plain,
sk_c10 = identity,
inference(splitRight,[status(thm)],[c_1329008]) ).
tff(c_1328917,plain,
inverse(identity) != sk_c11,
inference(splitRight,[status(thm)],[c_1328570]) ).
tff(c_1328949,plain,
inverse(identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1328918,c_1328917]) ).
tff(c_1329178,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1329169,c_1328949]) ).
tff(c_1327453,plain,
inverse(sk_c2) = sk_c11,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_1328937,plain,
inverse(sk_c2) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1328918,c_1327453]) ).
tff(c_1328953,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1328937,c_4]) ).
tff(c_1329190,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1329169,c_1328953]) ).
tff(c_1329177,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1329169,c_1328937]) ).
tff(c_1329205,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1329190,c_1329177]) ).
tff(c_1329206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1329178,c_1329205]) ).
tff(c_1329207,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_1328371]) ).
tff(c_1329225,plain,
! [X2_12] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_1329207]) ).
tff(c_1329327,plain,
! [X2_12] :
( ( multiply(X2_12,sk_c10) != sk_c10 )
| ( inverse(X2_12) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1329274,c_1329274,c_1329225]) ).
tff(c_1329382,plain,
inverse(sk_c7) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1329286,c_1329327]) ).
tff(c_1329391,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1329289,c_1329382]) ).
tff(c_1329392,plain,
! [X1_11,X8_13,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_1329207]) ).
tff(c_1329414,plain,
! [X7_3703] :
( ( multiply(X7_3703,sk_c11) != sk_c12 )
| ( inverse(X7_3703) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_1329392]) ).
tff(c_1329427,plain,
inverse(sk_c6) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1327486,c_1329414]) ).
tff(c_1329439,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1327439,c_1329427]) ).
tff(c_1329440,plain,
! [X8_13,X1_11] :
( ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_1329392]) ).
tff(c_1329671,plain,
! [X8_13,X1_11] :
( ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1329556,c_1329556,c_1329627,c_1329556,c_1329440]) ).
tff(c_1329672,plain,
! [X1_11] :
( ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_1329671]) ).
tff(c_1330955,plain,
inverse(sk_c12) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1330011,c_1329672]) ).
tff(c_1329625,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1329556,c_1327453]) ).
tff(c_1329642,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1329625,c_4]) ).
tff(c_1329720,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_1329642,c_1327610]) ).
tff(c_1329732,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1329720]) ).
tff(c_1329623,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1329556,c_1327486]) ).
tff(c_1327457,plain,
multiply(sk_c11,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1327453,c_4]) ).
tff(c_1328411,plain,
! [Z_3688] : ( multiply(sk_c6,multiply(sk_c11,Z_3688)) = multiply(sk_c12,Z_3688) ),
inference(superposition,[status(thm),theory(equality)],[c_1327486,c_1327555]) ).
tff(c_1328435,plain,
multiply(sk_c6,identity) = multiply(sk_c12,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_1327457,c_1328411]) ).
tff(c_1329684,plain,
multiply(sk_c12,sk_c2) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1329623,c_1328435]) ).
tff(c_1329833,plain,
multiply(sk_c12,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1329732,c_1329684]) ).
tff(c_1328372,plain,
! [Z_3686] : ( multiply(sk_c12,multiply(sk_c6,Z_3686)) = Z_3686 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1327588]) ).
tff(c_1328384,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1327486,c_1328372]) ).
tff(c_1328391,plain,
! [Z_5] : ( multiply(sk_c12,multiply(sk_c12,Z_5)) = multiply(sk_c11,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_1328384,c_6]) ).
tff(c_1329930,plain,
! [Z_3708] : ( multiply(sk_c12,multiply(sk_c12,Z_3708)) = Z_3708 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1329556,c_1328391]) ).
tff(c_1329960,plain,
multiply(sk_c12,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_1304224,c_1329930]) ).
tff(c_1329968,plain,
sk_c3 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1329833,c_1329960]) ).
tff(c_1329974,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1329968,c_1304220]) ).
tff(c_1330957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1330955,c_1329974]) ).
tff(c_1330958,plain,
! [X8_13] :
( ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity ) ),
inference(splitRight,[status(thm)],[c_1329671]) ).
tff(c_1336853,plain,
! [X8_13] : ( inverse(X8_13) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_1331254,c_1331223,c_1330958]) ).
tff(c_1329549,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1329441]) ).
tff(c_1329617,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_1329556,c_1328407]) ).
tff(c_1329621,plain,
multiply(sk_c9,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1329556,c_1327511]) ).
tff(c_1331003,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1329617,c_1329627,c_1329621]) ).
tff(c_1331007,plain,
multiply(identity,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1331003,c_1304212]) ).
tff(c_1331028,plain,
multiply(inverse(identity),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_1331007,c_1327610]) ).
tff(c_1331040,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1329549,c_1331028]) ).
tff(c_1331008,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1331003,c_1304207]) ).
tff(c_1331044,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1331040,c_1331008]) ).
tff(c_1336855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1336853,c_1331044]) ).
tff(c_1336856,plain,
inverse(sk_c7) = sk_c11,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_1336861,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1336856,c_4]) ).
tff(c_1336980,plain,
! [Z_3802] : ( multiply(sk_c11,multiply(sk_c7,Z_3802)) = multiply(identity,Z_3802) ),
inference(superposition,[status(thm),theory(equality)],[c_1336861,c_1336953]) ).
tff(c_1338409,plain,
! [Z_3833] : ( multiply(sk_c11,multiply(sk_c7,Z_3833)) = Z_3833 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1336980]) ).
tff(c_1338421,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1336883,c_1338409]) ).
tff(c_1338765,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1338530,c_1338530,c_1338421]) ).
tff(c_1338776,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1338765]) ).
tff(c_1336857,plain,
inverse(sk_c2) != sk_c11,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_1336905,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_1336857,c_52]) ).
tff(c_1338543,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1338530,c_1336905]) ).
tff(c_1337566,plain,
! [Z_3815] : ( multiply(sk_c11,multiply(sk_c7,Z_3815)) = Z_3815 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1336980]) ).
tff(c_1337578,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1336883,c_1337566]) ).
tff(c_1337589,plain,
! [Z_3816] : ( multiply(sk_c8,multiply(sk_c9,Z_3816)) = multiply(sk_c11,Z_3816) ),
inference(superposition,[status(thm),theory(equality)],[c_1336897,c_1336953]) ).
tff(c_1337604,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_1337554,c_1337589]) ).
tff(c_1337617,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1337578,c_1336897,c_1337604]) ).
tff(c_1337619,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1337617,c_1337617,c_1337578]) ).
tff(c_1337746,plain,
! [X_3818,Z_3819] : ( multiply(inverse(X_3818),multiply(X_3818,Z_3819)) = Z_3819 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1336992]) ).
tff(c_1337773,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1337619,c_1337746]) ).
tff(c_1337811,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1337773]) ).
tff(c_1336888,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1327440,c_34]) ).
tff(c_1337625,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1337617,c_1336888]) ).
tff(c_1337621,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_1337617,c_1337554]) ).
tff(c_1337717,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1337625,c_1337621]) ).
tff(c_1337729,plain,
inverse(sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1337717,c_1304207]) ).
tff(c_1337740,plain,
multiply(sk_c10,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1337729,c_4]) ).
tff(c_1337838,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1337811,c_1337740]) ).
tff(c_1336983,plain,
! [Z_3802] : ( multiply(sk_c12,multiply(sk_c6,Z_3802)) = multiply(identity,Z_3802) ),
inference(superposition,[status(thm),theory(equality)],[c_1327444,c_1336953]) ).
tff(c_1337006,plain,
! [Z_3803] : ( multiply(sk_c12,multiply(sk_c6,Z_3803)) = Z_3803 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1336983]) ).
tff(c_1337018,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1336905,c_1337006]) ).
tff(c_1337082,plain,
! [X5_3807] :
( ( inverse(X5_3807) != sk_c12 )
| ( multiply(X5_3807,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_1337098,plain,
inverse(sk_c12) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1337018,c_1337082]) ).
tff(c_1337093,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1337082]) ).
tff(c_1337107,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_1337093]) ).
tff(c_1337030,plain,
! [Z_3804] : ( multiply(sk_c9,multiply(sk_c8,Z_3804)) = Z_3804 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1336989]) ).
tff(c_1337042,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1336897,c_1337030]) ).
tff(c_1337108,plain,
! [X_3808,Z_3809] : ( multiply(inverse(X_3808),multiply(X_3808,Z_3809)) = Z_3809 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1336992]) ).
tff(c_1337135,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1337042,c_1337108]) ).
tff(c_1337193,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1337135]) ).
tff(c_1337195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1337107,c_1337193]) ).
tff(c_1337197,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_1337093]) ).
tff(c_1337203,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1337197,c_1336905]) ).
tff(c_1337343,plain,
! [X_3810,Z_3811] : ( multiply(inverse(X_3810),multiply(X_3810,Z_3811)) = Z_3811 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1336992]) ).
tff(c_1337361,plain,
multiply(inverse(sk_c6),sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1337203,c_1337343]) ).
tff(c_1337395,plain,
multiply(sk_c12,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1327439,c_1337361]) ).
tff(c_1337403,plain,
multiply(inverse(sk_c12),identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1337395,c_1337004]) ).
tff(c_1337382,plain,
multiply(inverse(sk_c12),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_1304224,c_1337343]) ).
tff(c_1337514,plain,
sk_c3 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1337403,c_1337382]) ).
tff(c_1337530,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1337514,c_1304220]) ).
tff(c_1337533,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1337098,c_1337530]) ).
tff(c_1337534,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_1337558,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_1337534]) ).
tff(c_1337655,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),sk_c10) != sk_c10 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1337617,c_1337617,c_1337558]) ).
tff(c_1337737,plain,
( ( multiply(sk_c10,sk_c10) != sk_c10 )
| ( multiply(sk_c8,inverse(sk_c8)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1337729,c_1337655]) ).
tff(c_1337744,plain,
multiply(sk_c8,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1337729,c_1337619,c_1337737]) ).
tff(c_1337945,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1337838,c_1337811,c_1337811,c_1337744]) ).
tff(c_1337946,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_1337534]) ).
tff(c_1338004,plain,
! [X6_3824] :
( ( inverse(X6_3824) != sk_c11 )
| ( multiply(X6_3824,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_1337946]) ).
tff(c_1338025,plain,
( ( inverse(identity) != sk_c11 )
| ( sk_c11 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1338004]) ).
tff(c_1338029,plain,
sk_c11 != sk_c10,
inference(splitLeft,[status(thm)],[c_1338025]) ).
tff(c_1337955,plain,
! [Z_3821] : ( multiply(sk_c11,multiply(sk_c7,Z_3821)) = Z_3821 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1336980]) ).
tff(c_1337967,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1336883,c_1337955]) ).
tff(c_1338032,plain,
! [Z_3825] : ( multiply(sk_c8,multiply(sk_c9,Z_3825)) = multiply(sk_c11,Z_3825) ),
inference(superposition,[status(thm),theory(equality)],[c_1336897,c_1336953]) ).
tff(c_1338050,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_1337554,c_1338032]) ).
tff(c_1338063,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1337967,c_1336897,c_1338050]) ).
tff(c_1338065,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1338029,c_1338063]) ).
tff(c_1338067,plain,
sk_c11 = sk_c10,
inference(splitRight,[status(thm)],[c_1338025]) ).
tff(c_1338021,plain,
( ( inverse(inverse(sk_c11)) != sk_c11 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1338004]) ).
tff(c_1338168,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c10 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1338067,c_1338067,c_1338021]) ).
tff(c_1338169,plain,
sk_c10 != identity,
inference(splitLeft,[status(thm)],[c_1338168]) ).
tff(c_1338071,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1338067,c_1338067,c_1337967]) ).
tff(c_1338208,plain,
! [X_3827,Z_3828] : ( multiply(inverse(X_3827),multiply(X_3827,Z_3828)) = Z_3828 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1336992]) ).
tff(c_1338235,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1338071,c_1338208]) ).
tff(c_1338285,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1338235]) ).
tff(c_1338287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1338169,c_1338285]) ).
tff(c_1338289,plain,
sk_c10 = identity,
inference(splitRight,[status(thm)],[c_1338168]) ).
tff(c_1338066,plain,
inverse(identity) != sk_c11,
inference(splitRight,[status(thm)],[c_1338025]) ).
tff(c_1338093,plain,
inverse(identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1338067,c_1338066]) ).
tff(c_1338298,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1338289,c_1338093]) ).
tff(c_1338077,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1338067,c_1336888]) ).
tff(c_1338076,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1338067,c_1336897]) ).
tff(c_1337003,plain,
! [Z_3802] : ( multiply(sk_c9,multiply(sk_c8,Z_3802)) = Z_3802 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1336989]) ).
tff(c_1338119,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1338076,c_1337003]) ).
tff(c_1338125,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1338077,c_1338119]) ).
tff(c_1338132,plain,
inverse(sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1338125,c_1304207]) ).
tff(c_1338140,plain,
multiply(sk_c10,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1338132,c_4]) ).
tff(c_1338312,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1338289,c_1338140]) ).
tff(c_1338293,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1338289,c_1338132]) ).
tff(c_1338328,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1338312,c_1338293]) ).
tff(c_1338329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1338298,c_1338328]) ).
tff(c_1338330,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_1337946]) ).
tff(c_1338384,plain,
! [X2_3832] :
( ( multiply(X2_3832,sk_c10) != sk_c11 )
| ( inverse(X2_3832) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_1338330]) ).
tff(c_1338394,plain,
inverse(sk_c7) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1336883,c_1338384]) ).
tff(c_1338407,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1336856,c_1338394]) ).
tff(c_1338408,plain,
! [X1_11,X8_13,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_1338330]) ).
tff(c_1338538,plain,
! [X7_10] :
( ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_1338408]) ).
tff(c_1338656,plain,
! [X7_10] :
( ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1338530,c_1338538]) ).
tff(c_1338748,plain,
inverse(sk_c6) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1338543,c_1338656]) ).
tff(c_1338763,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1327439,c_1338748]) ).
tff(c_1338764,plain,
! [X8_13,X1_11] :
( ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_1338408]) ).
tff(c_1338872,plain,
! [X8_13,X1_11] :
( ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1338530,c_1338530,c_1338776,c_1338530,c_1338764]) ).
tff(c_1338873,plain,
! [X1_11] :
( ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_1338872]) ).
tff(c_1339823,plain,
inverse(sk_c12) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1339130,c_1338873]) ).
tff(c_1339171,plain,
! [X_3844] : ( multiply(X_3844,identity) = X_3844 ),
inference(superposition,[status(thm),theory(equality)],[c_1339123,c_1338523]) ).
tff(c_1338511,plain,
multiply(inverse(sk_c12),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_1304224,c_1338445]) ).
tff(c_1338505,plain,
multiply(inverse(sk_c12),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_1327444,c_1338445]) ).
tff(c_1339043,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_1338511,c_1338505]) ).
tff(c_1336968,plain,
! [Z_3802] : ( multiply(sk_c6,multiply(sk_c11,Z_3802)) = multiply(sk_c12,Z_3802) ),
inference(superposition,[status(thm),theory(equality)],[c_1336905,c_1336953]) ).
tff(c_1339082,plain,
! [Z_3802] : ( multiply(sk_c3,Z_3802) = multiply(sk_c12,Z_3802) ),
inference(demodulation,[status(thm),theory(equality)],[c_1339043,c_2,c_1338530,c_1336968]) ).
tff(c_1339182,plain,
multiply(sk_c12,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_1339171,c_1339082]) ).
tff(c_1339244,plain,
sk_c3 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1339130,c_1339182]) ).
tff(c_1339226,plain,
inverse(sk_c12) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_1338511,c_1339171]) ).
tff(c_1339320,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1339244,c_1339226]) ).
tff(c_1339825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1339823,c_1339320]) ).
tff(c_1339826,plain,
! [X8_13] :
( ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity ) ),
inference(splitRight,[status(thm)],[c_1338872]) ).
tff(c_1345076,plain,
! [X8_13] : ( inverse(X8_13) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_1340171,c_1340137,c_1339826]) ).
tff(c_1338526,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1338445]) ).
tff(c_1338773,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1338530,c_1336861]) ).
tff(c_1339870,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_1338773,c_1337004]) ).
tff(c_1339882,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1338526,c_1339870]) ).
tff(c_1338775,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1338530,c_1336856]) ).
tff(c_1339887,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1339882,c_1338775]) ).
tff(c_1345078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1345076,c_1339887]) ).
tff(c_1345079,plain,
inverse(sk_c7) = sk_c11,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_1345084,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1345079,c_4]) ).
tff(c_1345245,plain,
! [Z_3922] : ( multiply(sk_c11,multiply(sk_c7,Z_3922)) = multiply(identity,Z_3922) ),
inference(superposition,[status(thm),theory(equality)],[c_1345084,c_1345209]) ).
tff(c_1345965,plain,
! [Z_3938] : ( multiply(sk_c11,multiply(sk_c7,Z_3938)) = Z_3938 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1345245]) ).
tff(c_1345977,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1345178,c_1345965]) ).
tff(c_1347490,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1347293,c_1347293,c_1345977]) ).
tff(c_1347498,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1347490]) ).
tff(c_1345264,plain,
! [X_2,Z_3922] : ( multiply(inverse(X_2),multiply(X_2,Z_3922)) = Z_3922 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1345251]) ).
tff(c_1345150,plain,
inverse(sk_c2) = sk_c11,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_1345154,plain,
multiply(sk_c11,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1345150,c_4]) ).
tff(c_1345080,plain,
inverse(sk_c3) != sk_c12,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_1345140,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_1345080,c_66]) ).
tff(c_1346004,plain,
! [Z_3940] : ( multiply(sk_c6,multiply(sk_c11,Z_3940)) = multiply(sk_c12,Z_3940) ),
inference(superposition,[status(thm),theory(equality)],[c_1345140,c_1345209]) ).
tff(c_1346025,plain,
multiply(sk_c6,identity) = multiply(sk_c12,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_1345154,c_1346004]) ).
tff(c_1346028,plain,
multiply(sk_c6,identity) = multiply(sk_c12,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_1345084,c_1346004]) ).
tff(c_1346079,plain,
multiply(sk_c12,sk_c7) = multiply(sk_c12,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_1346025,c_1346028]) ).
tff(c_1347205,plain,
multiply(inverse(sk_c12),multiply(sk_c12,sk_c2)) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_1346079,c_1347178]) ).
tff(c_1347291,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_1345264,c_1347205]) ).
tff(c_1347475,plain,
multiply(sk_c2,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_1347291,c_1345178]) ).
tff(c_1347553,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1347498,c_1347293,c_1347475]) ).
tff(c_1347494,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1347293,c_1345150]) ).
tff(c_1345094,plain,
inverse(sk_c6) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_1345080,c_64]) ).
tff(c_1347326,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1347293,c_1345140]) ).
tff(c_1345117,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_118]) ).
tff(c_1345548,plain,
! [X_3928,Z_3929] : ( multiply(inverse(X_3928),multiply(X_3928,Z_3929)) = Z_3929 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1345251]) ).
tff(c_1345587,plain,
multiply(inverse(sk_c12),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1345129,c_1345548]) ).
tff(c_1345313,plain,
! [X5_3925] :
( ( inverse(X5_3925) != sk_c12 )
| ( multiply(X5_3925,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_1345324,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1345313]) ).
tff(c_1345331,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_1345324]) ).
tff(c_1345290,plain,
! [Z_3924] : ( multiply(sk_c9,multiply(sk_c8,Z_3924)) = Z_3924 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1345248]) ).
tff(c_1345302,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1345167,c_1345290]) ).
tff(c_1345332,plain,
! [X_3926,Z_3927] : ( multiply(inverse(X_3926),multiply(X_3926,Z_3927)) = Z_3927 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1345251]) ).
tff(c_1345350,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1345302,c_1345332]) ).
tff(c_1345414,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1345350]) ).
tff(c_1345416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1345331,c_1345414]) ).
tff(c_1345418,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_1345324]) ).
tff(c_1345427,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1345418,c_1345140]) ).
tff(c_1345572,plain,
multiply(inverse(sk_c6),sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1345427,c_1345548]) ).
tff(c_1345613,plain,
multiply(sk_c12,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1345094,c_1345572]) ).
tff(c_1345641,plain,
multiply(inverse(sk_c12),identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1345613,c_1345264]) ).
tff(c_1345776,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1345587,c_1345641]) ).
tff(c_1345785,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1345776,c_1345125]) ).
tff(c_1345098,plain,
multiply(sk_c12,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1345094,c_4]) ).
tff(c_1345242,plain,
! [Z_3922] : ( multiply(sk_c12,multiply(sk_c6,Z_3922)) = multiply(identity,Z_3922) ),
inference(superposition,[status(thm),theory(equality)],[c_1345098,c_1345209]) ).
tff(c_1345266,plain,
! [Z_3923] : ( multiply(sk_c12,multiply(sk_c6,Z_3923)) = Z_3923 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1345242]) ).
tff(c_1345278,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1345140,c_1345266]) ).
tff(c_1345329,plain,
inverse(sk_c12) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1345278,c_1345313]) ).
tff(c_1345783,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1345776,c_1345776,c_1345329]) ).
tff(c_1345807,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1345785,c_1345783]) ).
tff(c_1345808,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_1345943,plain,
! [X4_3937] :
( ( multiply(inverse(X4_3937),sk_c10) != sk_c11 )
| ( multiply(X4_3937,inverse(X4_3937)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_1345808]) ).
tff(c_1345953,plain,
( ( multiply(sk_c9,sk_c10) != sk_c11 )
| ( multiply(sk_c8,inverse(sk_c8)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1304207,c_1345943]) ).
tff(c_1345963,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1345167,c_1304207,c_1345117,c_1345953]) ).
tff(c_1345964,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_1345808]) ).
tff(c_1346145,plain,
! [X6_3944] :
( ( inverse(X6_3944) != sk_c11 )
| ( multiply(X6_3944,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_1345964]) ).
tff(c_1346162,plain,
( ( inverse(inverse(sk_c11)) != sk_c11 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1346145]) ).
tff(c_1346172,plain,
sk_c10 != identity,
inference(splitLeft,[status(thm)],[c_1346162]) ).
tff(c_1346173,plain,
! [X_3945,Z_3946] : ( multiply(inverse(X_3945),multiply(X_3945,Z_3946)) = Z_3946 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1345251]) ).
tff(c_1346215,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1346000,c_1346173]) ).
tff(c_1346292,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1346215]) ).
tff(c_1346323,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1346292,c_1346292,c_1345977]) ).
tff(c_1346331,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1346323]) ).
tff(c_1346333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1346172,c_1346331]) ).
tff(c_1346335,plain,
sk_c10 = identity,
inference(splitRight,[status(thm)],[c_1346162]) ).
tff(c_1346166,plain,
( ( inverse(identity) != sk_c11 )
| ( sk_c11 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1346145]) ).
tff(c_1346170,plain,
sk_c11 != sk_c10,
inference(splitLeft,[status(thm)],[c_1346166]) ).
tff(c_1346336,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1346335,c_1346170]) ).
tff(c_1345239,plain,
! [Z_3922] : ( multiply(sk_c9,multiply(sk_c10,Z_3922)) = multiply(sk_c11,Z_3922) ),
inference(superposition,[status(thm),theory(equality)],[c_1345117,c_1345209]) ).
tff(c_1346351,plain,
! [Z_3922] : ( multiply(sk_c9,Z_3922) = multiply(sk_c11,Z_3922) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1346335,c_1345239]) ).
tff(c_1346344,plain,
multiply(sk_c9,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_1346335,c_1345117]) ).
tff(c_1346404,plain,
multiply(sk_c11,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1346351,c_1346344]) ).
tff(c_1345227,plain,
! [Z_3922] : ( multiply(sk_c8,multiply(sk_c9,Z_3922)) = multiply(sk_c11,Z_3922) ),
inference(superposition,[status(thm),theory(equality)],[c_1345167,c_1345209]) ).
tff(c_1346468,plain,
! [Z_3949] : ( multiply(sk_c8,multiply(sk_c11,Z_3949)) = multiply(sk_c11,Z_3949) ),
inference(demodulation,[status(thm),theory(equality)],[c_1346351,c_1345227]) ).
tff(c_1346498,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_1345084,c_1346468]) ).
tff(c_1346507,plain,
multiply(sk_c8,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1345084,c_1346498]) ).
tff(c_1346540,plain,
! [X_3950,Z_3951] : ( multiply(inverse(X_3950),multiply(X_3950,Z_3951)) = Z_3951 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1345251]) ).
tff(c_1346564,plain,
multiply(inverse(sk_c8),identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1346507,c_1346540]) ).
tff(c_1346669,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1346404,c_1346351,c_1304207,c_1346564]) ).
tff(c_1346671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1346336,c_1346669]) ).
tff(c_1346673,plain,
sk_c11 = sk_c10,
inference(splitRight,[status(thm)],[c_1346166]) ).
tff(c_1346798,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c10 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1346673,c_1346673,c_1346162]) ).
tff(c_1346799,plain,
sk_c10 != identity,
inference(splitLeft,[status(thm)],[c_1346798]) ).
tff(c_1346682,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1346673,c_1346673,c_1345977]) ).
tff(c_1346849,plain,
! [X_3954,Z_3955] : ( multiply(inverse(X_3954),multiply(X_3954,Z_3955)) = Z_3955 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1345251]) ).
tff(c_1346882,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1346682,c_1346849]) ).
tff(c_1346944,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1346882]) ).
tff(c_1346946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1346799,c_1346944]) ).
tff(c_1346948,plain,
sk_c10 = identity,
inference(splitRight,[status(thm)],[c_1346798]) ).
tff(c_1346672,plain,
inverse(identity) != sk_c11,
inference(splitRight,[status(thm)],[c_1346166]) ).
tff(c_1346704,plain,
inverse(identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1346673,c_1346672]) ).
tff(c_1346959,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1346948,c_1346704]) ).
tff(c_1346690,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1346673,c_1345117]) ).
tff(c_1346686,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1346673,c_1345167]) ).
tff(c_1345263,plain,
! [Z_3922] : ( multiply(sk_c9,multiply(sk_c8,Z_3922)) = Z_3922 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1345248]) ).
tff(c_1346741,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1346686,c_1345263]) ).
tff(c_1346747,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1346690,c_1346741]) ).
tff(c_1346753,plain,
inverse(sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1346747,c_1304207]) ).
tff(c_1346761,plain,
multiply(sk_c10,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1346753,c_4]) ).
tff(c_1346972,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1346948,c_1346761]) ).
tff(c_1346953,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1346948,c_1346753]) ).
tff(c_1346995,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1346972,c_1346953]) ).
tff(c_1346996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1346959,c_1346995]) ).
tff(c_1346997,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_1345964]) ).
tff(c_1347049,plain,
! [X2_3957] :
( ( multiply(X2_3957,sk_c10) != sk_c11 )
| ( inverse(X2_3957) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_1346997]) ).
tff(c_1347059,plain,
inverse(sk_c7) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1345178,c_1347049]) ).
tff(c_1347075,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1345079,c_1347059]) ).
tff(c_1347076,plain,
! [X1_11,X8_13,X7_10] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_1346997]) ).
tff(c_1347131,plain,
! [X7_3959] :
( ( multiply(X7_3959,sk_c11) != sk_c12 )
| ( inverse(X7_3959) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_1347076]) ).
tff(c_1347144,plain,
inverse(sk_c6) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1345140,c_1347131]) ).
tff(c_1347156,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1345094,c_1347144]) ).
tff(c_1347157,plain,
! [X8_13,X1_11] :
( ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_1347076]) ).
tff(c_1347303,plain,
! [X1_11] :
( ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_1347157]) ).
tff(c_1347442,plain,
! [X1_3963] :
( ( multiply(X1_3963,identity) != sk_c12 )
| ( inverse(X1_3963) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1347293,c_1347303]) ).
tff(c_1347445,plain,
inverse(sk_c6) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1347326,c_1347442]) ).
tff(c_1347471,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1345094,c_1347445]) ).
tff(c_1347472,plain,
! [X8_13] :
( ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_1347157]) ).
tff(c_1347611,plain,
! [X8_3965] :
( ( multiply(inverse(X8_3965),identity) != identity )
| ( multiply(X8_3965,inverse(X8_3965)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1347293,c_1347498,c_1347293,c_1347472]) ).
tff(c_1347613,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(sk_c2,inverse(sk_c2)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_1347494,c_1347611]) ).
tff(c_1347628,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1347553,c_1347494,c_2,c_1347613]) ).
tff(c_1347629,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_1347717,plain,
! [Z_3968] : ( multiply(sk_c9,multiply(sk_c8,Z_3968)) = multiply(identity,Z_3968) ),
inference(superposition,[status(thm),theory(equality)],[c_1304212,c_1347681]) ).
tff(c_1348163,plain,
! [Z_3978] : ( multiply(sk_c9,multiply(sk_c8,Z_3978)) = Z_3978 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1347717]) ).
tff(c_1348175,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1347629,c_1348163]) ).
tff(c_1348294,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1348175,c_1348258]) ).
tff(c_1348346,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1348294]) ).
tff(c_1347711,plain,
! [Z_3968] : ( multiply(sk_c12,multiply(sk_c6,Z_3968)) = multiply(identity,Z_3968) ),
inference(superposition,[status(thm),theory(equality)],[c_1345098,c_1347681]) ).
tff(c_1348222,plain,
! [Z_3981] : ( multiply(sk_c12,multiply(sk_c6,Z_3981)) = Z_3981 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1347711]) ).
tff(c_1348234,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1345140,c_1348222]) ).
tff(c_1348241,plain,
! [Z_5] : ( multiply(sk_c12,multiply(sk_c12,Z_5)) = multiply(sk_c11,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_1348234,c_6]) ).
tff(c_1349804,plain,
! [Z_4006] : ( multiply(sk_c12,multiply(sk_c12,Z_4006)) = Z_4006 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1348346,c_1348241]) ).
tff(c_1349834,plain,
multiply(sk_c12,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1345129,c_1349804]) ).
tff(c_1348496,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1348346,c_1345140]) ).
tff(c_1347702,plain,
! [Z_3968] : ( multiply(sk_c6,multiply(sk_c11,Z_3968)) = multiply(sk_c12,Z_3968) ),
inference(superposition,[status(thm),theory(equality)],[c_1345140,c_1347681]) ).
tff(c_1349639,plain,
! [Z_3968] : ( multiply(sk_c6,Z_3968) = multiply(sk_c12,Z_3968) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1348346,c_1347702]) ).
tff(c_1349690,plain,
multiply(sk_c12,identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1348496,c_1349639]) ).
tff(c_1349842,plain,
sk_c12 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1349834,c_1349690]) ).
tff(c_1349938,plain,
! [X_4007] : ( multiply(X_4007,inverse(X_4007)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1349897]) ).
tff(c_1348922,plain,
! [X_3991,Z_3992] : ( multiply(inverse(inverse(X_3991)),Z_3992) = multiply(X_3991,Z_3992) ),
inference(superposition,[status(thm),theory(equality)],[c_1347732,c_1348258]) ).
tff(c_1348929,plain,
! [X_3991] : ( multiply(X_3991,identity) = X_3991 ),
inference(superposition,[status(thm),theory(equality)],[c_1348922,c_1348339]) ).
tff(c_1347630,plain,
inverse(sk_c2) != sk_c11,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_1347636,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1347630,c_56]) ).
tff(c_1347714,plain,
! [Z_3968] : ( multiply(sk_c11,multiply(sk_c7,Z_3968)) = multiply(identity,Z_3968) ),
inference(superposition,[status(thm),theory(equality)],[c_1345084,c_1347681]) ).
tff(c_1348186,plain,
! [Z_3979] : ( multiply(sk_c11,multiply(sk_c7,Z_3979)) = Z_3979 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1347714]) ).
tff(c_1348198,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1347636,c_1348186]) ).
tff(c_1348489,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1348346,c_1348346,c_1348198]) ).
tff(c_1348500,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1348489]) ).
tff(c_1348365,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1348346,c_1345084]) ).
tff(c_1348426,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_1348365,c_1347732]) ).
tff(c_1348438,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1348426]) ).
tff(c_1348366,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1348346,c_1345079]) ).
tff(c_1348442,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1348438,c_1348366]) ).
tff(c_1348356,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1348346,c_1348346,c_1348198]) ).
tff(c_1348367,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1348356]) ).
tff(c_1347774,plain,
! [X5_3971] :
( ( inverse(X5_3971) != sk_c12 )
| ( multiply(X5_3971,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_1347782,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1347774]) ).
tff(c_1347795,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_1347782]) ).
tff(c_1347735,plain,
! [Z_3969] : ( multiply(sk_c9,multiply(sk_c8,Z_3969)) = Z_3969 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1347717]) ).
tff(c_1347747,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1347629,c_1347735]) ).
tff(c_1347796,plain,
! [X_3972,Z_3973] : ( multiply(inverse(X_3972),multiply(X_3972,Z_3973)) = Z_3973 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1347720]) ).
tff(c_1347820,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1347747,c_1347796]) ).
tff(c_1347872,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1347820]) ).
tff(c_1347874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1347795,c_1347872]) ).
tff(c_1347876,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_1347782]) ).
tff(c_1347885,plain,
multiply(sk_c6,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1347876,c_1345140]) ).
tff(c_1348021,plain,
! [X_3975,Z_3976] : ( multiply(inverse(X_3975),multiply(X_3975,Z_3976)) = Z_3976 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1347720]) ).
tff(c_1348048,plain,
multiply(inverse(sk_c6),sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1347885,c_1348021]) ).
tff(c_1348078,plain,
multiply(sk_c12,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1345094,c_1348048]) ).
tff(c_1347898,plain,
! [Z_3968] : ( multiply(sk_c6,Z_3968) = multiply(sk_c12,Z_3968) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1347876,c_1347702]) ).
tff(c_1347734,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c12 )
| ( multiply(X5_6,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_1348138,plain,
! [X5_3977] :
( ( inverse(X5_3977) != sk_c12 )
| ( multiply(X5_3977,sk_c12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1347876,c_1347734]) ).
tff(c_1348145,plain,
( ( inverse(sk_c6) != sk_c12 )
| ( multiply(sk_c12,sk_c12) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_1347898,c_1348138]) ).
tff(c_1348161,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1348078,c_1345094,c_1348145]) ).
tff(c_1348162,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_1348354,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_1348162]) ).
tff(c_1348450,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),identity) != identity )
| ( multiply(X4_14,inverse(X4_14)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1348346,c_1348367,c_1348346,c_1348354]) ).
tff(c_1348475,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_1348442,c_1348450]) ).
tff(c_1348486,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1348442,c_2,c_2,c_1348475]) ).
tff(c_1348487,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_1348162]) ).
tff(c_1348582,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,identity) != identity )
| ( inverse(X2_12) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1348500,c_1348346,c_1348346,c_1348346,c_1348346,c_1348500,c_1348346,c_1348346,c_1348346,c_1348500,c_1348346,c_1348487]) ).
tff(c_1348583,plain,
! [X6_7] :
( ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_1348582]) ).
tff(c_1349576,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1348929,c_1348583]) ).
tff(c_1348498,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1348346,c_1345084]) ).
tff(c_1348559,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_1348498,c_1347732]) ).
tff(c_1348571,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1348559]) ).
tff(c_1348499,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1348346,c_1345079]) ).
tff(c_1348575,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1348571,c_1348499]) ).
tff(c_1349578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1349576,c_1348575]) ).
tff(c_1349579,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,identity) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),identity) != identity )
| ( multiply(X8_13,inverse(X8_13)) != identity )
| ( multiply(X1_11,identity) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,identity) != identity )
| ( inverse(X2_12) != identity ) ),
inference(splitRight,[status(thm)],[c_1348582]) ).
tff(c_1411051,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( sk_c1 != X7_10 )
| ( inverse(X7_10) != sk_c1 )
| ( inverse(X8_13) != identity )
| ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 )
| ( identity != X2_12 )
| ( inverse(X2_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1349904,c_1349842,c_1349904,c_1349842,c_1349938,c_1349904,c_1349842,c_1349904,c_1349842,c_1349579]) ).
tff(c_1411053,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_1411051]) ).
tff(c_1411055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1411053,c_1348575]) ).
tff(c_1411056,plain,
! [X1_11,X8_13,X7_10] :
( ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 )
| ( inverse(X8_13) != identity )
| ( sk_c1 != X7_10 )
| ( inverse(X7_10) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_1411051]) ).
tff(c_1411058,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_1411056]) ).
tff(c_1349865,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1349842,c_1345125]) ).
tff(c_1411060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1411058,c_1349865]) ).
tff(c_1411061,plain,
! [X8_13,X1_11] :
( ( inverse(X8_13) != identity )
| ( sk_c1 != X1_11 )
| ( inverse(X1_11) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_1411056]) ).
tff(c_1412708,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_1411061]) ).
tff(c_1412710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1412708,c_1349865]) ).
tff(c_1412711,plain,
! [X8_13] : ( inverse(X8_13) != identity ),
inference(splitRight,[status(thm)],[c_1411061]) ).
tff(c_1412713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1412711,c_1348575]) ).
tff(c_1412715,plain,
inverse(sk_c1) != sk_c12,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_1412725,plain,
multiply(sk_c8,sk_c9) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1412715,c_30]) ).
tff(c_1412760,plain,
multiply(sk_c7,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_1304208,c_112]) ).
tff(c_1412792,plain,
! [X_4289,Y_4290,Z_4291] : ( multiply(multiply(X_4289,Y_4290),Z_4291) = multiply(X_4289,multiply(Y_4290,Z_4291)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1412825,plain,
! [Z_4291] : ( multiply(sk_c11,multiply(sk_c7,Z_4291)) = multiply(identity,Z_4291) ),
inference(superposition,[status(thm),theory(equality)],[c_1345084,c_1412792]) ).
tff(c_1413347,plain,
! [Z_4302] : ( multiply(sk_c11,multiply(sk_c7,Z_4302)) = Z_4302 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1412825]) ).
tff(c_1413359,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1412760,c_1413347]) ).
tff(c_1412828,plain,
! [Z_4291] : ( multiply(sk_c9,multiply(sk_c8,Z_4291)) = multiply(identity,Z_4291) ),
inference(superposition,[status(thm),theory(equality)],[c_1304212,c_1412792]) ).
tff(c_1413370,plain,
! [Z_4303] : ( multiply(sk_c9,multiply(sk_c8,Z_4303)) = Z_4303 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1412828]) ).
tff(c_1413382,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1412725,c_1413370]) ).
tff(c_1413662,plain,
! [Z_4309] : ( multiply(sk_c8,multiply(sk_c9,Z_4309)) = multiply(sk_c11,Z_4309) ),
inference(superposition,[status(thm),theory(equality)],[c_1412725,c_1412792]) ).
tff(c_1413677,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_1413382,c_1413662]) ).
tff(c_1413693,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1412725,c_1413359,c_1413677]) ).
tff(c_1413697,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1413693,c_1413693,c_1413359]) ).
tff(c_1412831,plain,
! [X_2,Z_4291] : ( multiply(inverse(X_2),multiply(X_2,Z_4291)) = multiply(identity,Z_4291) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1412792]) ).
tff(c_1414639,plain,
! [X_4326,Z_4327] : ( multiply(inverse(X_4326),multiply(X_4326,Z_4327)) = Z_4327 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1412831]) ).
tff(c_1414660,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1413697,c_1414639]) ).
tff(c_1414691,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1414660]) ).
tff(c_1412843,plain,
! [X_2,Z_4291] : ( multiply(inverse(X_2),multiply(X_2,Z_4291)) = Z_4291 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1412831]) ).
tff(c_1414961,plain,
! [X_4332,Z_4333] : ( multiply(inverse(inverse(X_4332)),Z_4333) = multiply(X_4332,Z_4333) ),
inference(superposition,[status(thm),theory(equality)],[c_1414639,c_1412843]) ).
tff(c_1414684,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1414639]) ).
tff(c_1414968,plain,
! [X_4332] : ( multiply(X_4332,identity) = X_4332 ),
inference(superposition,[status(thm),theory(equality)],[c_1414961,c_1414684]) ).
tff(c_1415002,plain,
! [X_4332] : ( multiply(X_4332,inverse(X_4332)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1414961]) ).
tff(c_1413806,plain,
! [X_4310,Z_4311] : ( multiply(inverse(X_4310),multiply(X_4310,Z_4311)) = Z_4311 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1412831]) ).
tff(c_1414131,plain,
! [X_4315,Z_4316] : ( multiply(inverse(inverse(X_4315)),Z_4316) = multiply(X_4315,Z_4316) ),
inference(superposition,[status(thm),theory(equality)],[c_1412843,c_1413806]) ).
tff(c_1413863,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1413806]) ).
tff(c_1414138,plain,
! [X_4315] : ( multiply(X_4315,identity) = X_4315 ),
inference(superposition,[status(thm),theory(equality)],[c_1414131,c_1413863]) ).
tff(c_1413839,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_1413697,c_1413806]) ).
tff(c_1413872,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1413839]) ).
tff(c_1413407,plain,
! [X_4305,Z_4306] : ( multiply(inverse(X_4305),multiply(X_4305,Z_4306)) = Z_4306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1412831]) ).
tff(c_1413428,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1413382,c_1413407]) ).
tff(c_1413495,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1413428]) ).
tff(c_1413515,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1413495,c_1345084]) ).
tff(c_1413598,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_1413515,c_1412843]) ).
tff(c_1413610,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1413598]) ).
tff(c_1413516,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1413495,c_1345079]) ).
tff(c_1413614,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1413610,c_1413516]) ).
tff(c_1413505,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1413495,c_1413495,c_1413359]) ).
tff(c_1413517,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1413505]) ).
tff(c_1412714,plain,
multiply(sk_c6,sk_c11) = sk_c12,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_1412822,plain,
! [Z_4291] : ( multiply(sk_c12,multiply(sk_c6,Z_4291)) = multiply(identity,Z_4291) ),
inference(superposition,[status(thm),theory(equality)],[c_1345098,c_1412792]) ).
tff(c_1412845,plain,
! [Z_4292] : ( multiply(sk_c12,multiply(sk_c6,Z_4292)) = Z_4292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1412822]) ).
tff(c_1412857,plain,
multiply(sk_c12,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1412714,c_1412845]) ).
tff(c_1412892,plain,
! [X5_4294] :
( ( inverse(X5_4294) != sk_c12 )
| ( multiply(X5_4294,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_1412908,plain,
inverse(sk_c12) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1412857,c_1412892]) ).
tff(c_1412903,plain,
( ( inverse(inverse(sk_c12)) != sk_c12 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1412892]) ).
tff(c_1412910,plain,
sk_c11 != identity,
inference(splitLeft,[status(thm)],[c_1412903]) ).
tff(c_1412869,plain,
! [Z_4293] : ( multiply(sk_c9,multiply(sk_c8,Z_4293)) = Z_4293 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1412828]) ).
tff(c_1412881,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_1412725,c_1412869]) ).
tff(c_1412911,plain,
! [X_4295,Z_4296] : ( multiply(inverse(X_4295),multiply(X_4295,Z_4296)) = Z_4296 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1412831]) ).
tff(c_1412929,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_1412881,c_1412911]) ).
tff(c_1412987,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1412929]) ).
tff(c_1412989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1412910,c_1412987]) ).
tff(c_1412991,plain,
sk_c11 = identity,
inference(splitRight,[status(thm)],[c_1412903]) ).
tff(c_1412995,plain,
multiply(sk_c12,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1412991,c_1412857]) ).
tff(c_1413121,plain,
! [X_4297,Z_4298] : ( multiply(inverse(X_4297),multiply(X_4297,Z_4298)) = Z_4298 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1412831]) ).
tff(c_1413139,plain,
multiply(inverse(sk_c12),identity) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1412995,c_1413121]) ).
tff(c_1413160,plain,
multiply(inverse(sk_c12),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_1345098,c_1413121]) ).
tff(c_1413307,plain,
sk_c6 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1413139,c_1413160]) ).
tff(c_1413322,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1413307,c_1345094]) ).
tff(c_1413325,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1412908,c_1413322]) ).
tff(c_1413326,plain,
! [X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_1413406,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),sk_c10) != sk_c11 )
| ( multiply(X4_14,inverse(X4_14)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_1413326]) ).
tff(c_1413620,plain,
! [X4_14] :
( ( multiply(inverse(X4_14),identity) != identity )
| ( multiply(X4_14,inverse(X4_14)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1413495,c_1413517,c_1413495,c_1413406]) ).
tff(c_1413649,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_1413614,c_1413620]) ).
tff(c_1413660,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1413614,c_2,c_2,c_1413649]) ).
tff(c_1413661,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X1_11,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c11 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c11 )
| ( multiply(X7_10,sk_c11) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_1413326]) ).
tff(c_1413741,plain,
! [X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( multiply(X2_12,sk_c10) != sk_c10 )
| ( inverse(X2_12) != sk_c10 )
| ( multiply(X1_11,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c10 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c10 )
| ( multiply(X7_10,sk_c10) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1413693,c_1413693,c_1413693,c_1413693,c_1413693,c_1413693,c_1413693,c_1413693,c_1413661]) ).
tff(c_1413742,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_1413741]) ).
tff(c_1414604,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1414138,c_1413872,c_1413872,c_1413872,c_1413742]) ).
tff(c_1413706,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1413693,c_1345117]) ).
tff(c_1413696,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_1413693,c_1413382]) ).
tff(c_1413750,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1413706,c_1413696]) ).
tff(c_1413761,plain,
inverse(sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1413750,c_1304207]) ).
tff(c_1413778,plain,
multiply(sk_c10,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1413761,c_4]) ).
tff(c_1413898,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1413872,c_1413778]) ).
tff(c_1413877,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1413872,c_1413761]) ).
tff(c_1413903,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1413898,c_1413877]) ).
tff(c_1414606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1414604,c_1413903]) ).
tff(c_1414607,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( multiply(X7_10,sk_c10) != sk_c12 )
| ( inverse(X7_10) != sk_c12 )
| ( multiply(inverse(X8_13),sk_c10) != sk_c10 )
| ( multiply(X8_13,inverse(X8_13)) != sk_c10 )
| ( multiply(X1_11,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X2_12,sk_c10) != sk_c10 )
| ( inverse(X2_12) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_1413741]) ).
tff(c_1457740,plain,
! [X7_10,X8_13,X1_11,X2_12] :
( ( sk_c12 != X7_10 )
| ( inverse(X7_10) != sk_c12 )
| ( inverse(X8_13) != identity )
| ( sk_c12 != X1_11 )
| ( inverse(X1_11) != sk_c12 )
| ( identity != X2_12 )
| ( inverse(X2_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1414691,c_1414968,c_1414691,c_1414691,c_1414968,c_1414691,c_1415002,c_1414691,c_1414968,c_1414691,c_1414691,c_1414968,c_1414691,c_1414607]) ).
tff(c_1457742,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_1457740]) ).
tff(c_1414615,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1413706,c_1413696]) ).
tff(c_1414626,plain,
inverse(sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1414615,c_1304207]) ).
tff(c_1414635,plain,
multiply(sk_c10,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1414626,c_4]) ).
tff(c_1414713,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1414691,c_1414635]) ).
tff(c_1414693,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1414691,c_1414626]) ).
tff(c_1414718,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1414713,c_1414693]) ).
tff(c_1457744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1457742,c_1414718]) ).
tff(c_1457745,plain,
! [X1_11,X8_13,X7_10] :
( ( sk_c12 != X1_11 )
| ( inverse(X1_11) != sk_c12 )
| ( inverse(X8_13) != identity )
| ( sk_c12 != X7_10 )
| ( inverse(X7_10) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_1457740]) ).
tff(c_1457747,plain,
inverse(sk_c12) != sk_c12,
inference(splitLeft,[status(thm)],[c_1457745]) ).
tff(c_1414678,plain,
multiply(inverse(sk_c12),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_1345098,c_1414639]) ).
tff(c_1413700,plain,
multiply(sk_c12,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1413693,c_1412857]) ).
tff(c_1414663,plain,
multiply(inverse(sk_c12),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_1413700,c_1414639]) ).
tff(c_1414871,plain,
sk_c6 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1414678,c_1414691,c_1414663]) ).
tff(c_1414876,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_1414871,c_1345094]) ).
tff(c_1457749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1457747,c_1414876]) ).
tff(c_1457750,plain,
! [X8_13,X1_11] :
( ( inverse(X8_13) != identity )
| ( sk_c12 != X1_11 )
| ( inverse(X1_11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_1457745]) ).
tff(c_1458450,plain,
inverse(sk_c12) != sk_c12,
inference(splitLeft,[status(thm)],[c_1457750]) ).
tff(c_1458452,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1458450,c_1414876]) ).
tff(c_1458453,plain,
! [X8_13] : ( inverse(X8_13) != identity ),
inference(splitRight,[status(thm)],[c_1457750]) ).
tff(c_1458455,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1458453,c_1414718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP243-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.34 % Computer : n021.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Thu Aug 3 22:11:22 EDT 2023
% 0.16/0.35 % CPUTime :
% 268.38/242.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 268.95/242.49
% 268.95/242.49 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 269.43/242.61
% 269.43/242.61 Inference rules
% 269.43/242.61 ----------------------
% 269.43/242.61 #Ref : 0
% 269.43/242.61 #Sup : 343534
% 269.43/242.61 #Fact : 0
% 269.43/242.61 #Define : 0
% 269.43/242.61 #Split : 195
% 269.43/242.61 #Chain : 0
% 269.43/242.61 #Close : 0
% 269.43/242.61
% 269.43/242.61 Ordering : KBO
% 269.43/242.61
% 269.43/242.61 Simplification rules
% 269.43/242.61 ----------------------
% 269.43/242.61 #Subsume : 41
% 269.43/242.61 #Demod : 1550983
% 269.43/242.61 #Tautology : 284339
% 269.43/242.61 #SimpNegUnit : 284
% 269.43/242.61 #BackRed : 2799
% 269.43/242.61
% 269.43/242.61 #Partial instantiations: 0
% 269.43/242.61 #Strategies tried : 1
% 269.43/242.61
% 269.43/242.61 Timing (in seconds)
% 269.43/242.61 ----------------------
% 269.43/242.62 Preprocessing : 0.60
% 269.43/242.62 Parsing : 0.22
% 269.43/242.62 CNF conversion : 0.03
% 269.43/242.62 Main loop : 240.43
% 269.43/242.62 Inferencing : 20.03
% 269.43/242.62 Reduction : 193.34
% 269.43/242.62 Demodulation : 187.47
% 269.43/242.62 BG Simplification : 1.26
% 269.43/242.62 Subsumption : 19.17
% 269.43/242.62 Abstraction : 4.64
% 269.43/242.62 MUC search : 0.00
% 269.43/242.62 Cooper : 0.00
% 269.43/242.62 Total : 241.53
% 269.43/242.62 Index Insertion : 0.00
% 269.43/242.62 Index Deletion : 0.00
% 269.43/242.62 Index Matching : 0.00
% 269.43/242.62 BG Taut test : 0.00
%------------------------------------------------------------------------------