TSTP Solution File: GRP258-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP258-1 : 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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:40 EDT 2023
% Result : Unsatisfiable 82.45s 67.78s
% Output : CNFRefutation 83.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 74
% Syntax : Number of formulae : 1134 ( 914 unt; 15 typ; 0 def)
% Number of atoms : 1624 (1573 equ)
% Maximal formula atoms : 17 ( 1 avg)
% Number of connectives : 1068 ( 563 ~; 505 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 599 (; 599 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c12 > sk_c11 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c11,type,
sk_c11: $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(sk_c12,type,
sk_c12: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c10,sk_c12) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_239,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c12 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_269,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_323,axiom,
! [X5,X6,X3,X9,X7,X1,X2,X8,X4] :
( ( multiply(X4,sk_c12) != sk_c11 )
| ( inverse(X4) != sk_c12 )
| ( multiply(X5,sk_c11) != sk_c10 )
| ( inverse(X5) != sk_c11 )
| ( multiply(sk_c10,sk_c12) != sk_c11 )
| ( multiply(X6,sk_c10) != sk_c12 )
| ( inverse(X6) != sk_c10 )
| ( multiply(X1,sk_c12) != sk_c11 )
| ( inverse(X1) != sk_c12 )
| ( multiply(X2,sk_c11) != sk_c10 )
| ( inverse(X2) != sk_c11 )
| ( multiply(X7,X3) != sk_c12 )
| ( inverse(X7) != X3 )
| ( multiply(X3,sk_c11) != sk_c12 )
| ( inverse(X8) != X9 )
| ( inverse(X9) != X3 )
| ( multiply(X8,X3) != X9 ) ),
file(unknown,unknown) ).
tff(f_236,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c12 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_242,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c12 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c12 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_230,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c12 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_218,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c12 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c12 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c12 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_233,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c12 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_215,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( multiply(sk_c10,sk_c12) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( multiply(sk_c10,sk_c12) = sk_c11 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( multiply(sk_c10,sk_c12) = sk_c11 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( multiply(sk_c10,sk_c12) = sk_c11 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_272,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_257,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_260,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_248,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_245,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_251,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_254,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_266,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_263,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_244814,plain,
! [X_1325,Y_1326,Z_1327] : ( multiply(multiply(X_1325,Y_1326),Z_1327) = multiply(X_1325,multiply(Y_1326,Z_1327)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_244865,plain,
! [X_2,Z_1327] : ( multiply(inverse(X_2),multiply(X_2,Z_1327)) = multiply(identity,Z_1327) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_244814]) ).
tff(c_244880,plain,
! [X_2,Z_1327] : ( multiply(inverse(X_2),multiply(X_2,Z_1327)) = Z_1327 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_244865]) ).
tff(c_276636,plain,
! [X_1558,Z_1559] : ( multiply(inverse(X_1558),multiply(X_1558,Z_1559)) = Z_1559 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_244865]) ).
tff(c_277185,plain,
! [X_1564,Z_1565] : ( multiply(inverse(inverse(X_1564)),Z_1565) = multiply(X_1564,Z_1565) ),
inference(superposition,[status(thm),theory(equality)],[c_244880,c_276636]) ).
tff(c_276702,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_276636]) ).
tff(c_277192,plain,
! [X_1564] : ( multiply(X_1564,identity) = X_1564 ),
inference(superposition,[status(thm),theory(equality)],[c_277185,c_276702]) ).
tff(c_40826,plain,
! [X_570,Y_571,Z_572] : ( multiply(multiply(X_570,Y_571),Z_572) = multiply(X_570,multiply(Y_571,Z_572)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_40877,plain,
! [X_2,Z_572] : ( multiply(inverse(X_2),multiply(X_2,Z_572)) = multiply(identity,Z_572) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40826]) ).
tff(c_69781,plain,
! [X_800,Z_801] : ( multiply(inverse(X_800),multiply(X_800,Z_801)) = Z_801 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40877]) ).
tff(c_40892,plain,
! [X_2,Z_572] : ( multiply(inverse(X_2),multiply(X_2,Z_572)) = Z_572 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40877]) ).
tff(c_70283,plain,
! [X_806,Z_807] : ( multiply(inverse(inverse(X_806)),Z_807) = multiply(X_806,Z_807) ),
inference(superposition,[status(thm),theory(equality)],[c_69781,c_40892]) ).
tff(c_69853,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_69781]) ).
tff(c_70290,plain,
! [X_806] : ( multiply(X_806,identity) = X_806 ),
inference(superposition,[status(thm),theory(equality)],[c_70283,c_69853]) ).
tff(c_84,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_177,plain,
inverse(sk_c2) = sk_c11,
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_181,plain,
multiply(sk_c11,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_177,c_4]) ).
tff(c_90,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c10,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_213,plain,
multiply(sk_c10,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_90]) ).
tff(c_124,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_28845,plain,
multiply(sk_c3,sk_c10) = sk_c12,
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_144,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_165,plain,
inverse(sk_c3) = sk_c10,
inference(splitLeft,[status(thm)],[c_144]) ).
tff(c_169,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_165,c_4]) ).
tff(c_30038,plain,
! [X_375,Y_376,Z_377] : ( multiply(multiply(X_375,Y_376),Z_377) = multiply(X_375,multiply(Y_376,Z_377)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30095,plain,
! [Z_377] : ( multiply(sk_c10,multiply(sk_c3,Z_377)) = multiply(identity,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_30038]) ).
tff(c_30129,plain,
! [Z_379] : ( multiply(sk_c10,multiply(sk_c3,Z_379)) = Z_379 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30095]) ).
tff(c_30141,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_28845,c_30129]) ).
tff(c_30098,plain,
! [X_2,Z_377] : ( multiply(inverse(X_2),multiply(X_2,Z_377)) = multiply(identity,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30038]) ).
tff(c_30221,plain,
! [X_380,Z_381] : ( multiply(inverse(X_380),multiply(X_380,Z_381)) = Z_381 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30098]) ).
tff(c_30260,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_30141,c_30221]) ).
tff(c_30326,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30260]) ).
tff(c_22,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_232,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_44,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_196,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_200,plain,
multiply(sk_c12,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_196,c_4]) ).
tff(c_21788,plain,
! [X_247,Y_248,Z_249] : ( multiply(multiply(X_247,Y_248),Z_249) = multiply(X_247,multiply(Y_248,Z_249)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21842,plain,
! [Z_249] : ( multiply(sk_c12,multiply(sk_c1,Z_249)) = multiply(identity,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_200,c_21788]) ).
tff(c_21869,plain,
! [Z_250] : ( multiply(sk_c12,multiply(sk_c1,Z_250)) = Z_250 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21842]) ).
tff(c_21881,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_232,c_21869]) ).
tff(c_22104,plain,
! [Z_260] : ( multiply(sk_c1,multiply(sk_c12,Z_260)) = multiply(sk_c11,Z_260) ),
inference(superposition,[status(thm),theory(equality)],[c_232,c_21788]) ).
tff(c_22119,plain,
multiply(sk_c11,sk_c11) = multiply(sk_c1,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_21881,c_22104]) ).
tff(c_22132,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_22119]) ).
tff(c_21851,plain,
! [X_2,Z_249] : ( multiply(inverse(X_2),multiply(X_2,Z_249)) = multiply(identity,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21788]) ).
tff(c_24756,plain,
! [X_295,Z_296] : ( multiply(inverse(X_295),multiply(X_295,Z_296)) = Z_296 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21851]) ).
tff(c_24828,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_22132,c_24756]) ).
tff(c_24895,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24828]) ).
tff(c_284,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_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_284]) ).
tff(c_331,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_8555,plain,
! [X_123,Z_124] : ( multiply(inverse(X_123),multiply(X_123,Z_124)) = Z_124 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320]) ).
tff(c_8858,plain,
! [X_127,Z_128] : ( multiply(inverse(inverse(X_127)),Z_128) = multiply(X_127,Z_128) ),
inference(superposition,[status(thm),theory(equality)],[c_331,c_8555]) ).
tff(c_8624,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_8555]) ).
tff(c_8865,plain,
! [X_127] : ( multiply(X_127,identity) = X_127 ),
inference(superposition,[status(thm),theory(equality)],[c_8858,c_8624]) ).
tff(c_237,plain,
multiply(sk_c3,sk_c10) = sk_c12,
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_317,plain,
! [Z_19] : ( multiply(sk_c10,multiply(sk_c3,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_284]) ).
tff(c_517,plain,
! [Z_26] : ( multiply(sk_c10,multiply(sk_c3,Z_26)) = Z_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_317]) ).
tff(c_529,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_237,c_517]) ).
tff(c_556,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_529,c_213]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_225,plain,
multiply(sk_c2,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_314,plain,
! [Z_19] : ( multiply(sk_c11,multiply(sk_c2,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_181,c_284]) ).
tff(c_494,plain,
! [Z_25] : ( multiply(sk_c11,multiply(sk_c2,Z_25)) = Z_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_314]) ).
tff(c_506,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_225,c_494]) ).
tff(c_565,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_556,c_556,c_506]) ).
tff(c_8579,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_565,c_8555]) ).
tff(c_8632,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8579]) ).
tff(c_8597,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_529,c_8555]) ).
tff(c_8637,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8597]) ).
tff(c_533,plain,
! [Z_27] : ( multiply(sk_c10,multiply(sk_c12,Z_27)) = multiply(sk_c11,Z_27) ),
inference(superposition,[status(thm),theory(equality)],[c_213,c_284]) ).
tff(c_551,plain,
multiply(sk_c11,sk_c1) = multiply(sk_c10,identity),
inference(superposition,[status(thm),theory(equality)],[c_200,c_533]) ).
tff(c_627,plain,
multiply(sk_c10,sk_c1) = multiply(sk_c10,identity),
inference(demodulation,[status(thm),theory(equality)],[c_556,c_551]) ).
tff(c_654,plain,
! [X_29,Z_30] : ( multiply(inverse(X_29),multiply(X_29,Z_30)) = Z_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320]) ).
tff(c_675,plain,
multiply(inverse(sk_c10),multiply(sk_c10,identity)) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_627,c_654]) ).
tff(c_730,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_331,c_675]) ).
tff(c_696,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_529,c_654]) ).
tff(c_736,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_696]) ).
tff(c_746,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_736,c_196]) ).
tff(c_811,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_730,c_746]) ).
tff(c_957,plain,
! [X_33,Z_34] : ( multiply(inverse(inverse(X_33)),Z_34) = multiply(X_33,Z_34) ),
inference(superposition,[status(thm),theory(equality)],[c_654,c_331]) ).
tff(c_723,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_654]) ).
tff(c_964,plain,
! [X_33] : ( multiply(X_33,identity) = X_33 ),
inference(superposition,[status(thm),theory(equality)],[c_957,c_723]) ).
tff(c_978,plain,
! [X_33] : ( multiply(X_33,inverse(X_33)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_957,c_4]) ).
tff(c_678,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_565,c_654]) ).
tff(c_731,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_678]) ).
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_1220,plain,
! [X_40,Y_41,Z_42] : ( multiply(inverse(multiply(X_40,Y_41)),multiply(X_40,multiply(Y_41,Z_42))) = Z_42 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_654]) ).
tff(c_1299,plain,
! [X_40,X_2] : ( multiply(inverse(multiply(X_40,inverse(X_2))),multiply(X_40,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1220]) ).
tff(c_1332,plain,
! [X_40,X_2] : ( multiply(inverse(multiply(X_40,inverse(X_2))),X_40) = X_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_964,c_1299]) ).
tff(c_1000,plain,
! [X_35] : ( multiply(X_35,identity) = X_35 ),
inference(superposition,[status(thm),theory(equality)],[c_957,c_723]) ).
tff(c_657,plain,
! [X_29,Z_30] : ( multiply(inverse(inverse(X_29)),Z_30) = multiply(X_29,Z_30) ),
inference(superposition,[status(thm),theory(equality)],[c_654,c_331]) ).
tff(c_1007,plain,
! [X_29] : ( inverse(inverse(X_29)) = multiply(X_29,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1000,c_657]) ).
tff(c_1052,plain,
! [X_29] : ( inverse(inverse(X_29)) = X_29 ),
inference(demodulation,[status(thm),theory(equality)],[c_964,c_1007]) ).
tff(c_1341,plain,
! [X_43,X_44] : ( multiply(inverse(multiply(X_43,inverse(X_44))),X_43) = X_44 ),
inference(demodulation,[status(thm),theory(equality)],[c_964,c_1299]) ).
tff(c_991,plain,
! [X_33,Z_19] : ( multiply(X_33,multiply(inverse(X_33),Z_19)) = Z_19 ),
inference(superposition,[status(thm),theory(equality)],[c_331,c_957]) ).
tff(c_1414,plain,
! [X_45,X_46] : ( multiply(multiply(X_45,inverse(X_46)),X_46) = X_45 ),
inference(superposition,[status(thm),theory(equality)],[c_1341,c_991]) ).
tff(c_1505,plain,
! [X_47,X_48] : ( multiply(multiply(X_47,X_48),inverse(X_48)) = X_47 ),
inference(superposition,[status(thm),theory(equality)],[c_1052,c_1414]) ).
tff(c_1544,plain,
! [X_40,X_2] : ( inverse(multiply(X_40,inverse(X_2))) = multiply(X_2,inverse(X_40)) ),
inference(superposition,[status(thm),theory(equality)],[c_1332,c_1505]) ).
tff(c_382,plain,
! [Z_22] : ( multiply(sk_c10,multiply(sk_c3,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_317]) ).
tff(c_394,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_237,c_382]) ).
tff(c_424,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_213]) ).
tff(c_436,plain,
multiply(sk_c1,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_424,c_232]) ).
tff(c_148,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( multiply(sk_c10,sk_c12) != sk_c11 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_357,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_213,c_148]) ).
tff(c_358,plain,
! [X4_14] :
( ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_357]) ).
tff(c_470,plain,
! [X4_24] :
( ( inverse(X4_24) != sk_c12 )
| ( multiply(X4_24,sk_c12) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_424,c_358]) ).
tff(c_473,plain,
inverse(sk_c1) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_436,c_470]) ).
tff(c_492,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196,c_473]) ).
tff(c_493,plain,
! [X5_6,X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_357]) ).
tff(c_600,plain,
! [X5_6,X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c10 )
| ( inverse(X2_12) != sk_c10 )
| ( multiply(X2_12,sk_c10) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c10) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_556,c_556,c_556,c_556,c_556,c_556,c_493]) ).
tff(c_601,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c10) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_600]) ).
tff(c_8429,plain,
! [X7_119,X8_120] :
( ( multiply(X7_119,inverse(X8_120)) != inverse(X7_119) )
| ( multiply(X8_120,inverse(X7_119)) != inverse(X8_120) )
| ( inverse(X7_119) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_978,c_736,c_964,c_731,c_736,c_1544,c_601]) ).
tff(c_8469,plain,
! [X8_120] :
( ( inverse(identity) != inverse(X8_120) )
| ( multiply(X8_120,inverse(identity)) != inverse(X8_120) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_8429]) ).
tff(c_8487,plain,
! [X8_121] :
( ( inverse(X8_121) != identity )
| ( inverse(X8_121) != X8_121 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_811,c_964,c_811,c_811,c_8469]) ).
tff(c_8495,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_811,c_8487]) ).
tff(c_8502,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_811,c_8495]) ).
tff(c_8503,plain,
! [X2_12,X1_11,X6_7,X5_6] :
( ( inverse(X2_12) != sk_c10 )
| ( multiply(X2_12,sk_c10) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_600]) ).
tff(c_16324,plain,
! [X2_12,X1_11,X6_7,X5_6] :
( ( inverse(X2_12) != identity )
| ( identity != X2_12 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8865,c_8632,c_8632,c_8632,c_8865,c_8632,c_8637,c_8632,c_8865,c_8632,c_8637,c_8637,c_8865,c_8632,c_8632,c_8632,c_8503]) ).
tff(c_16326,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_16324]) ).
tff(c_8529,plain,
multiply(sk_c10,sk_c1) = multiply(sk_c10,identity),
inference(demodulation,[status(thm),theory(equality)],[c_556,c_551]) ).
tff(c_8576,plain,
multiply(inverse(sk_c10),multiply(sk_c10,identity)) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_8529,c_8555]) ).
tff(c_8631,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_331,c_8576]) ).
tff(c_8647,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8637,c_196]) ).
tff(c_8712,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8631,c_8647]) ).
tff(c_16328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16326,c_8712]) ).
tff(c_16329,plain,
! [X6_7,X1_11,X2_12] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X2_12) != identity )
| ( identity != X2_12 ) ),
inference(splitRight,[status(thm)],[c_16324]) ).
tff(c_21003,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_16329]) ).
tff(c_21005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21003,c_8712]) ).
tff(c_21006,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_16329]) ).
tff(c_21008,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_21006]) ).
tff(c_21010,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21008,c_8712]) ).
tff(c_21666,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_21006]) ).
tff(c_21668,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21666,c_8712]) ).
tff(c_21670,plain,
multiply(sk_c3,sk_c10) != sk_c12,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_122,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_21719,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_21670,c_122]) ).
tff(c_21723,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21719,c_4]) ).
tff(c_126,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c3,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_21750,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_21670,c_126]) ).
tff(c_21821,plain,
! [Z_249] : ( multiply(sk_c7,multiply(sk_c8,Z_249)) = multiply(identity,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_21723,c_21788]) ).
tff(c_22081,plain,
! [Z_259] : ( multiply(sk_c7,multiply(sk_c8,Z_259)) = Z_259 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21821]) ).
tff(c_22093,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_21750,c_22081]) ).
tff(c_21669,plain,
inverse(sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_21674,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21669,c_4]) ).
tff(c_21830,plain,
! [Z_249] : ( multiply(sk_c9,multiply(sk_c7,Z_249)) = multiply(identity,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_21674,c_21788]) ).
tff(c_23282,plain,
! [Z_278] : ( multiply(sk_c9,multiply(sk_c7,Z_278)) = Z_278 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21830]) ).
tff(c_23300,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_21723,c_23282]) ).
tff(c_21860,plain,
! [Z_249] : ( multiply(sk_c7,multiply(sk_c8,Z_249)) = Z_249 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21821]) ).
tff(c_23644,plain,
! [Z_284] : ( multiply(sk_c9,Z_284) = multiply(sk_c8,Z_284) ),
inference(superposition,[status(thm),theory(equality)],[c_21860,c_23282]) ).
tff(c_23683,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_23300,c_23644]) ).
tff(c_23701,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21674,c_23644]) ).
tff(c_23297,plain,
! [Z_249] : ( multiply(sk_c9,Z_249) = multiply(sk_c8,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_21860,c_23282]) ).
tff(c_21815,plain,
! [Z_249] : ( multiply(sk_c8,multiply(sk_c9,Z_249)) = multiply(sk_c7,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_21750,c_21788]) ).
tff(c_23928,plain,
! [Z_288] : ( multiply(sk_c8,multiply(sk_c8,Z_288)) = multiply(sk_c7,Z_288) ),
inference(demodulation,[status(thm),theory(equality)],[c_23297,c_21815]) ).
tff(c_23961,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_23701,c_23928]) ).
tff(c_23973,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22093,c_23683,c_23961]) ).
tff(c_116,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c3,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_21757,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_21670,c_116]) ).
tff(c_118,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_21735,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_21670,c_118]) ).
tff(c_21739,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21735,c_4]) ).
tff(c_21818,plain,
! [Z_249] : ( multiply(sk_c9,multiply(sk_c6,Z_249)) = multiply(identity,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_21739,c_21788]) ).
tff(c_22148,plain,
! [Z_261] : ( multiply(sk_c9,multiply(sk_c6,Z_261)) = Z_261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21818]) ).
tff(c_22160,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_21757,c_22148]) ).
tff(c_23980,plain,
multiply(sk_c8,sk_c12) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_23973,c_23973,c_22160]) ).
tff(c_24648,plain,
multiply(sk_c7,sk_c8) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_23980,c_21860]) ).
tff(c_24654,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21723,c_24648]) ).
tff(c_110,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c3,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_21688,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_21670,c_110]) ).
tff(c_24666,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24654,c_21688]) ).
tff(c_24704,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24666,c_4]) ).
tff(c_24722,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_24704,c_2]) ).
tff(c_24731,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24722,c_24666]) ).
tff(c_21845,plain,
! [Z_249] : ( multiply(sk_c11,multiply(sk_c2,Z_249)) = multiply(identity,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_181,c_21788]) ).
tff(c_21892,plain,
! [Z_251] : ( multiply(sk_c11,multiply(sk_c2,Z_251)) = Z_251 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21845]) ).
tff(c_21904,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_225,c_21892]) ).
tff(c_24225,plain,
! [X_291,Z_292] : ( multiply(inverse(X_291),multiply(X_291,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21851]) ).
tff(c_24318,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_21904,c_24225]) ).
tff(c_24383,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24318]) ).
tff(c_23689,plain,
multiply(sk_c8,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_22160,c_23644]) ).
tff(c_23773,plain,
multiply(sk_c7,sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_23689,c_21860]) ).
tff(c_24094,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21723,c_23973,c_23773]) ).
tff(c_24109,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24094,c_196]) ).
tff(c_24126,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24109,c_4]) ).
tff(c_24175,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_24126,c_2]) ).
tff(c_24184,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24175,c_24109]) ).
tff(c_114,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c3,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_21706,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_21670,c_114]) ).
tff(c_112,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_21765,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_21670,c_112]) ).
tff(c_22536,plain,
! [X_270,Z_271] : ( multiply(inverse(X_270),multiply(X_270,Z_271)) = Z_271 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21851]) ).
tff(c_22641,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_21881,c_22536]) ).
tff(c_22745,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22641]) ).
tff(c_22807,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22745,c_177]) ).
tff(c_22921,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22807,c_4]) ).
tff(c_21867,plain,
! [X_2,Z_249] : ( multiply(inverse(X_2),multiply(X_2,Z_249)) = Z_249 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21851]) ).
tff(c_22938,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_22921,c_21867]) ).
tff(c_22950,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22938]) ).
tff(c_22954,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22950,c_22807]) ).
tff(c_22197,plain,
! [Z_263] : ( multiply(sk_c9,multiply(sk_c7,Z_263)) = Z_263 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21830]) ).
tff(c_22215,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_21723,c_22197]) ).
tff(c_22383,plain,
! [Z_268] : ( multiply(sk_c9,Z_268) = multiply(sk_c8,Z_268) ),
inference(superposition,[status(thm),theory(equality)],[c_21860,c_22197]) ).
tff(c_22425,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_22215,c_22383]) ).
tff(c_22611,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_22160,c_22536]) ).
tff(c_22739,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22611]) ).
tff(c_22431,plain,
multiply(sk_c8,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_22160,c_22383]) ).
tff(c_22852,plain,
multiply(sk_c8,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_22739,c_22431]) ).
tff(c_22861,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22425,c_22852]) ).
tff(c_120,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( multiply(sk_c3,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_21772,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_21670,c_120]) ).
tff(c_22804,plain,
multiply(sk_c9,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_22745,c_21772]) ).
tff(c_23144,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22425,c_22861,c_22739,c_22804]) ).
tff(c_23149,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23144,c_22861]) ).
tff(c_108,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c3,sk_c10) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_21783,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_21670,c_108]) ).
tff(c_21916,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_213,c_148]) ).
tff(c_22038,plain,
! [X4_257] :
( ( inverse(X4_257) != sk_c12 )
| ( multiply(X4_257,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_21916]) ).
tff(c_22048,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_21783,c_22038]) ).
tff(c_22066,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21688,c_22048]) ).
tff(c_22067,plain,
! [X5_6,X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_21916]) ).
tff(c_22321,plain,
! [X8_266,X7_267] :
( ( inverse(multiply(X8_266,inverse(X7_267))) != inverse(X7_267) )
| ( multiply(X8_266,inverse(X7_267)) != inverse(X8_266) )
| ( multiply(inverse(X7_267),sk_c11) != sk_c12 )
| ( multiply(X7_267,inverse(X7_267)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_22067]) ).
tff(c_22326,plain,
! [X8_266] :
( ( inverse(multiply(X8_266,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_266,inverse(sk_c6)) != inverse(X8_266) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_21735,c_22321]) ).
tff(c_22349,plain,
! [X8_266] :
( ( inverse(multiply(X8_266,sk_c9)) != sk_c9 )
| ( multiply(X8_266,sk_c9) != inverse(X8_266) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21757,c_21735,c_21772,c_21735,c_21735,c_21735,c_22326]) ).
tff(c_23247,plain,
! [X8_276] :
( ( inverse(multiply(X8_276,identity)) != identity )
| ( multiply(X8_276,identity) != inverse(X8_276) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23149,c_23149,c_23149,c_22349]) ).
tff(c_23255,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23247]) ).
tff(c_23263,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22954,c_22954,c_4,c_22954,c_23255]) ).
tff(c_23264,plain,
! [X2_12,X1_11,X6_7,X5_6] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_22067]) ).
tff(c_23577,plain,
! [X5_283] :
( ( inverse(X5_283) != sk_c11 )
| ( multiply(X5_283,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_23264]) ).
tff(c_23603,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_21765,c_23577]) ).
tff(c_23621,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21706,c_23603]) ).
tff(c_23622,plain,
! [X6_7,X1_11,X2_12] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_23264]) ).
tff(c_23886,plain,
! [X2_287] :
( ( inverse(X2_287) != sk_c11 )
| ( multiply(X2_287,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_23622]) ).
tff(c_23905,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_21765,c_23886]) ).
tff(c_23922,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21706,c_23905]) ).
tff(c_23923,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_23622]) ).
tff(c_24016,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_23923]) ).
tff(c_24139,plain,
! [X6_290] :
( ( inverse(X6_290) != sk_c10 )
| ( multiply(X6_290,sk_c10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24094,c_24016]) ).
tff(c_24158,plain,
inverse(inverse(sk_c10)) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_4,c_24139]) ).
tff(c_24625,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24383,c_24184,c_24184,c_24383,c_24158]) ).
tff(c_24626,plain,
! [X1_11] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_23923]) ).
tff(c_24680,plain,
! [X1_294] :
( ( inverse(X1_294) != identity )
| ( multiply(X1_294,identity) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24654,c_24654,c_24626]) ).
tff(c_24698,plain,
( ( inverse(identity) != identity )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_24680]) ).
tff(c_25037,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24895,c_24731,c_24698]) ).
tff(c_25039,plain,
multiply(sk_c1,sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_25876,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_25039,c_10]) ).
tff(c_25051,plain,
multiply(sk_c3,sk_c10) = sk_c12,
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_25162,plain,
! [X_298,Y_299,Z_300] : ( multiply(multiply(X_298,Y_299),Z_300) = multiply(X_298,multiply(Y_299,Z_300)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_25222,plain,
! [Z_300] : ( multiply(sk_c10,multiply(sk_c3,Z_300)) = multiply(identity,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_25162]) ).
tff(c_25439,plain,
! [Z_306] : ( multiply(sk_c10,multiply(sk_c3,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25222]) ).
tff(c_25451,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25051,c_25439]) ).
tff(c_25225,plain,
! [X_2,Z_300] : ( multiply(inverse(X_2),multiply(X_2,Z_300)) = multiply(identity,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25162]) ).
tff(c_25538,plain,
! [X_307,Z_308] : ( multiply(inverse(X_307),multiply(X_307,Z_308)) = Z_308 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25225]) ).
tff(c_25580,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_25451,c_25538]) ).
tff(c_25648,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25580]) ).
tff(c_25664,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25648,c_196]) ).
tff(c_25699,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25664,c_4]) ).
tff(c_25241,plain,
! [X_2,Z_300] : ( multiply(inverse(X_2),multiply(X_2,Z_300)) = Z_300 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25225]) ).
tff(c_25803,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_25699,c_25241]) ).
tff(c_25815,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25803]) ).
tff(c_25455,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25451,c_213]) ).
tff(c_25219,plain,
! [Z_300] : ( multiply(sk_c11,multiply(sk_c2,Z_300)) = multiply(identity,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_181,c_25162]) ).
tff(c_25256,plain,
! [Z_302] : ( multiply(sk_c11,multiply(sk_c2,Z_302)) = Z_302 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25219]) ).
tff(c_25268,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_225,c_25256]) ).
tff(c_25463,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25455,c_25455,c_25268]) ).
tff(c_25565,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25463,c_25538]) ).
tff(c_25646,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25565]) ).
tff(c_25470,plain,
multiply(sk_c1,sk_c12) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25455,c_25039]) ).
tff(c_25873,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25815,c_25646,c_25648,c_25470]) ).
tff(c_25875,plain,
multiply(sk_c3,sk_c10) != sk_c12,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_25970,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_25875,c_108]) ).
tff(c_25880,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25876,c_4]) ).
tff(c_25992,plain,
! [X_310,Y_311,Z_312] : ( multiply(multiply(X_310,Y_311),Z_312) = multiply(X_310,multiply(Y_311,Z_312)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26031,plain,
! [Z_312] : ( multiply(sk_c12,multiply(sk_c4,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_25880,c_25992]) ).
tff(c_26262,plain,
! [Z_323] : ( multiply(sk_c12,multiply(sk_c4,Z_323)) = Z_323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26031]) ).
tff(c_26277,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_25970,c_26262]) ).
tff(c_26040,plain,
! [Z_312] : ( multiply(sk_c10,multiply(sk_c12,Z_312)) = multiply(sk_c11,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_213,c_25992]) ).
tff(c_26284,plain,
multiply(sk_c11,sk_c11) = multiply(sk_c10,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_26277,c_26040]) ).
tff(c_26290,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_213,c_26284]) ).
tff(c_26052,plain,
! [X_2,Z_312] : ( multiply(inverse(X_2),multiply(X_2,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25992]) ).
tff(c_28587,plain,
! [X_355,Z_356] : ( multiply(inverse(X_355),multiply(X_355,Z_356)) = Z_356 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26052]) ).
tff(c_28611,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_26290,c_28587]) ).
tff(c_28633,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28611]) ).
tff(c_28639,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28633,c_177]) ).
tff(c_28655,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28639,c_4]) ).
tff(c_26068,plain,
! [X_2,Z_312] : ( multiply(inverse(X_2),multiply(X_2,Z_312)) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26052]) ).
tff(c_28662,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_28655,c_26068]) ).
tff(c_28674,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28662]) ).
tff(c_25038,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_25043,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25038,c_4]) ).
tff(c_26034,plain,
! [Z_312] : ( multiply(sk_c7,multiply(sk_c8,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_25043,c_25992]) ).
tff(c_27423,plain,
! [Z_342] : ( multiply(sk_c7,multiply(sk_c8,Z_342)) = Z_342 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26034]) ).
tff(c_25874,plain,
inverse(sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_25887,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25874,c_4]) ).
tff(c_26028,plain,
! [Z_312] : ( multiply(sk_c9,multiply(sk_c7,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_25887,c_25992]) ).
tff(c_26062,plain,
! [Z_312] : ( multiply(sk_c9,multiply(sk_c7,Z_312)) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26028]) ).
tff(c_28021,plain,
! [Z_350] : ( multiply(sk_c9,Z_350) = multiply(sk_c8,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_27423,c_26062]) ).
tff(c_27335,plain,
! [Z_340] : ( multiply(sk_c9,multiply(sk_c7,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26028]) ).
tff(c_27347,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_25043,c_27335]) ).
tff(c_28036,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_28021,c_27347]) ).
tff(c_25957,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_25875,c_126]) ).
tff(c_27438,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_25957,c_27423]) ).
tff(c_28090,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25887,c_28021]) ).
tff(c_27429,plain,
! [Z_342] : ( multiply(sk_c9,Z_342) = multiply(sk_c8,Z_342) ),
inference(superposition,[status(thm),theory(equality)],[c_27423,c_26062]) ).
tff(c_26013,plain,
! [Z_312] : ( multiply(sk_c8,multiply(sk_c9,Z_312)) = multiply(sk_c7,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_25957,c_25992]) ).
tff(c_28143,plain,
! [Z_351] : ( multiply(sk_c8,multiply(sk_c8,Z_351)) = multiply(sk_c7,Z_351) ),
inference(demodulation,[status(thm),theory(equality)],[c_27429,c_26013]) ).
tff(c_28167,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_28090,c_28143]) ).
tff(c_28183,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_28036,c_27438,c_28167]) ).
tff(c_25952,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_25875,c_116]) ).
tff(c_18,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_25924,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25039,c_18]) ).
tff(c_25928,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25924,c_4]) ).
tff(c_26022,plain,
! [Z_312] : ( multiply(sk_c9,multiply(sk_c6,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_25928,c_25992]) ).
tff(c_27312,plain,
! [Z_339] : ( multiply(sk_c9,multiply(sk_c6,Z_339)) = Z_339 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26022]) ).
tff(c_27324,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_25952,c_27312]) ).
tff(c_28078,plain,
multiply(sk_c8,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_27324,c_28021]) ).
tff(c_28263,plain,
multiply(sk_c8,sk_c12) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_28183,c_28078]) ).
tff(c_26064,plain,
! [Z_312] : ( multiply(sk_c7,multiply(sk_c8,Z_312)) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26034]) ).
tff(c_28270,plain,
multiply(sk_c7,sk_c8) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_28263,c_26064]) ).
tff(c_28276,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25043,c_28270]) ).
tff(c_20,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_25962,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_25039,c_20]) ).
tff(c_27621,plain,
! [Z_345] : ( multiply(sk_c9,multiply(sk_c11,Z_345)) = multiply(sk_c12,Z_345) ),
inference(superposition,[status(thm),theory(equality)],[c_25962,c_25992]) ).
tff(c_27654,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_181,c_27621]) ).
tff(c_27663,plain,
multiply(sk_c12,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27347,c_27654]) ).
tff(c_28283,plain,
multiply(identity,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_28276,c_27663]) ).
tff(c_28298,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28283]) ).
tff(c_28545,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28298,c_25038]) ).
tff(c_28546,plain,
sk_c7 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_177,c_28545]) ).
tff(c_28635,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28633,c_28546]) ).
tff(c_28202,plain,
inverse(sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_28183,c_25874]) ).
tff(c_28536,plain,
inverse(sk_c7) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_28298,c_28202]) ).
tff(c_28767,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28674,c_28635,c_28536]) ).
tff(c_25900,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_25875,c_114]) ).
tff(c_25947,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_25875,c_112]) ).
tff(c_26046,plain,
! [Z_312] : ( multiply(sk_c11,multiply(sk_c2,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_181,c_25992]) ).
tff(c_26192,plain,
! [Z_320] : ( multiply(sk_c11,multiply(sk_c2,Z_320)) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26046]) ).
tff(c_26204,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_225,c_26192]) ).
tff(c_26646,plain,
! [X_332,Z_333] : ( multiply(inverse(X_332),multiply(X_332,Z_333)) = Z_333 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26052]) ).
tff(c_26733,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_26204,c_26646]) ).
tff(c_26836,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26733]) ).
tff(c_26882,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26836,c_165]) ).
tff(c_26999,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26882,c_4]) ).
tff(c_27026,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_26999,c_26068]) ).
tff(c_27038,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27026]) ).
tff(c_27042,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27038,c_26882]) ).
tff(c_26323,plain,
! [Z_325] : ( multiply(sk_c9,multiply(sk_c7,Z_325)) = Z_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26028]) ).
tff(c_26335,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_25043,c_26323]) ).
tff(c_26300,plain,
! [Z_324] : ( multiply(sk_c9,multiply(sk_c6,Z_324)) = Z_324 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26022]) ).
tff(c_26312,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_25952,c_26300]) ).
tff(c_26709,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_26312,c_26646]) ).
tff(c_26833,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26709]) ).
tff(c_26943,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_26833,c_26312]) ).
tff(c_26951,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_26335,c_26943]) ).
tff(c_26718,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_26277,c_26646]) ).
tff(c_26835,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26718]) ).
tff(c_26010,plain,
! [Z_312] : ( multiply(sk_c9,multiply(sk_c11,Z_312)) = multiply(sk_c12,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_25962,c_25992]) ).
tff(c_26974,plain,
! [Z_312] : ( multiply(sk_c8,Z_312) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_26951,c_2,c_26833,c_2,c_26835,c_26010]) ).
tff(c_27071,plain,
! [Z_336] : ( multiply(sk_c7,Z_336) = Z_336 ),
inference(demodulation,[status(thm),theory(equality)],[c_26974,c_26974,c_26951,c_26013]) ).
tff(c_27083,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_27071,c_25043]) ).
tff(c_27097,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27083,c_26951]) ).
tff(c_26084,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_213,c_148]) ).
tff(c_26155,plain,
! [X4_318] :
( ( inverse(X4_318) != sk_c12 )
| ( multiply(X4_318,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_26084]) ).
tff(c_26162,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_25970,c_26155]) ).
tff(c_26177,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25876,c_26162]) ).
tff(c_26178,plain,
! [X5_6,X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_26084]) ).
tff(c_26430,plain,
! [X8_328,X7_329] :
( ( inverse(multiply(X8_328,inverse(X7_329))) != inverse(X7_329) )
| ( multiply(X8_328,inverse(X7_329)) != inverse(X8_328) )
| ( multiply(inverse(X7_329),sk_c11) != sk_c12 )
| ( multiply(X7_329,inverse(X7_329)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_26178]) ).
tff(c_26435,plain,
! [X8_328] :
( ( inverse(multiply(X8_328,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_328,inverse(sk_c6)) != inverse(X8_328) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_25924,c_26430]) ).
tff(c_26458,plain,
! [X8_328] :
( ( inverse(multiply(X8_328,sk_c9)) != sk_c9 )
| ( multiply(X8_328,sk_c9) != inverse(X8_328) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25952,c_25924,c_25962,c_25924,c_25924,c_25924,c_26435]) ).
tff(c_27294,plain,
! [X8_338] :
( ( inverse(multiply(X8_338,identity)) != identity )
| ( multiply(X8_338,identity) != inverse(X8_338) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27097,c_27097,c_27097,c_26458]) ).
tff(c_27302,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27294]) ).
tff(c_27310,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27042,c_27042,c_4,c_27042,c_27302]) ).
tff(c_27311,plain,
! [X2_12,X1_11,X6_7,X5_6] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_26178]) ).
tff(c_27556,plain,
! [X5_344] :
( ( inverse(X5_344) != sk_c11 )
| ( multiply(X5_344,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_27311]) ).
tff(c_27575,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_25947,c_27556]) ).
tff(c_27591,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25900,c_27575]) ).
tff(c_27592,plain,
! [X6_7,X1_11,X2_12] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_27311]) ).
tff(c_27887,plain,
! [X2_348] :
( ( inverse(X2_348) != sk_c11 )
| ( multiply(X2_348,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_27592]) ).
tff(c_27910,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_25947,c_27887]) ).
tff(c_27926,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25900,c_27910]) ).
tff(c_27927,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_27592]) ).
tff(c_28240,plain,
! [X6_352] :
( ( inverse(X6_352) != sk_c10 )
| ( multiply(X6_352,sk_c10) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_27927]) ).
tff(c_28261,plain,
( ( inverse(identity) != sk_c10 )
| ( sk_c12 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_28240]) ).
tff(c_28305,plain,
( ( inverse(identity) != sk_c10 )
| ( sk_c10 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28276,c_28261]) ).
tff(c_28306,plain,
sk_c10 != identity,
inference(splitLeft,[status(thm)],[c_28305]) ).
tff(c_27351,plain,
! [Z_341] : ( multiply(sk_c2,multiply(sk_c11,Z_341)) = multiply(sk_c10,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_225,c_25992]) ).
tff(c_27375,plain,
multiply(sk_c2,sk_c11) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_26204,c_27351]) ).
tff(c_27389,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_225,c_27375]) ).
tff(c_28412,plain,
! [X_353,Z_354] : ( multiply(inverse(X_353),multiply(X_353,Z_354)) = Z_354 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26052]) ).
tff(c_28451,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_27389,c_28412]) ).
tff(c_28501,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28451]) ).
tff(c_28503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28306,c_28501]) ).
tff(c_28505,plain,
sk_c10 = identity,
inference(splitRight,[status(thm)],[c_28305]) ).
tff(c_28257,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c12 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28240]) ).
tff(c_28563,plain,
inverse(inverse(identity)) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28276,c_28505,c_28505,c_28257]) ).
tff(c_28770,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28767,c_28767,c_28563]) ).
tff(c_28783,plain,
! [X1_358] :
( ( inverse(X1_358) != sk_c12 )
| ( multiply(X1_358,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_27927]) ).
tff(c_28800,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_25970,c_28783]) ).
tff(c_28817,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25876,c_28800]) ).
tff(c_28818,plain,
inverse(sk_c4) = sk_c12,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_30145,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30141,c_213]) ).
tff(c_28819,plain,
multiply(sk_c2,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_30012,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_28819,c_48]) ).
tff(c_30154,plain,
multiply(sk_c4,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30145,c_30012]) ).
tff(c_30239,plain,
multiply(inverse(sk_c4),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_30154,c_30221]) ).
tff(c_30324,plain,
multiply(sk_c12,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_28818,c_30239]) ).
tff(c_30555,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30326,c_2,c_30326,c_30324]) ).
tff(c_30343,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30326,c_196]) ).
tff(c_30354,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30343,c_4]) ).
tff(c_30114,plain,
! [X_2,Z_377] : ( multiply(inverse(X_2),multiply(X_2,Z_377)) = Z_377 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30098]) ).
tff(c_30467,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_30354,c_30114]) ).
tff(c_30479,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30467]) ).
tff(c_28949,plain,
! [X_359,Y_360,Z_361] : ( multiply(multiply(X_359,Y_360),Z_361) = multiply(X_359,multiply(Y_360,Z_361)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29009,plain,
! [Z_361] : ( multiply(sk_c10,multiply(sk_c3,Z_361)) = multiply(identity,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_28949]) ).
tff(c_29188,plain,
! [Z_367] : ( multiply(sk_c10,multiply(sk_c3,Z_367)) = Z_367 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29009]) ).
tff(c_29200,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_28845,c_29188]) ).
tff(c_29204,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_29200,c_213]) ).
tff(c_12,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_28905,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_29003,plain,
! [Z_361] : ( multiply(sk_c12,multiply(sk_c1,Z_361)) = multiply(identity,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_200,c_28949]) ).
tff(c_29030,plain,
! [Z_362] : ( multiply(sk_c12,multiply(sk_c1,Z_362)) = Z_362 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29003]) ).
tff(c_29042,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_28905,c_29030]) ).
tff(c_29213,plain,
multiply(sk_c12,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_29204,c_29042]) ).
tff(c_29012,plain,
! [X_2,Z_361] : ( multiply(inverse(X_2),multiply(X_2,Z_361)) = multiply(identity,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28949]) ).
tff(c_29339,plain,
! [X_369,Z_370] : ( multiply(inverse(X_369),multiply(X_369,Z_370)) = Z_370 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29012]) ).
tff(c_29369,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_29213,c_29339]) ).
tff(c_29457,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29369]) ).
tff(c_29221,plain,
multiply(sk_c10,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29204,c_181]) ).
tff(c_29490,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29457,c_29221]) ).
tff(c_29028,plain,
! [X_2,Z_361] : ( multiply(inverse(X_2),multiply(X_2,Z_361)) = Z_361 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29012]) ).
tff(c_29970,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_29490,c_29028]) ).
tff(c_29982,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29970]) ).
tff(c_29220,plain,
multiply(sk_c2,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_29204,c_28819]) ).
tff(c_29489,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29457,c_29457,c_29220]) ).
tff(c_29986,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29982,c_29489]) ).
tff(c_29991,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29986]) ).
tff(c_29993,plain,
multiply(sk_c1,sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_30155,plain,
multiply(sk_c1,sk_c12) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30145,c_29993]) ).
tff(c_30334,plain,
multiply(sk_c1,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30326,c_30155]) ).
tff(c_30731,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30555,c_2,c_30479,c_30334]) ).
tff(c_30733,plain,
multiply(sk_c3,sk_c10) != sk_c12,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_32102,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_30733,c_108]) ).
tff(c_28823,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28818,c_4]) ).
tff(c_32126,plain,
! [X_413,Y_414,Z_415] : ( multiply(multiply(X_413,Y_414),Z_415) = multiply(X_413,multiply(Y_414,Z_415)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32168,plain,
! [Z_415] : ( multiply(sk_c12,multiply(sk_c4,Z_415)) = multiply(identity,Z_415) ),
inference(superposition,[status(thm),theory(equality)],[c_28823,c_32126]) ).
tff(c_32431,plain,
! [Z_427] : ( multiply(sk_c12,multiply(sk_c4,Z_427)) = Z_427 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32168]) ).
tff(c_32446,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_32102,c_32431]) ).
tff(c_32171,plain,
! [Z_415] : ( multiply(sk_c10,multiply(sk_c12,Z_415)) = multiply(sk_c11,Z_415) ),
inference(superposition,[status(thm),theory(equality)],[c_213,c_32126]) ).
tff(c_32454,plain,
multiply(sk_c11,sk_c11) = multiply(sk_c10,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_32446,c_32171]) ).
tff(c_32460,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_213,c_32454]) ).
tff(c_32183,plain,
! [X_2,Z_415] : ( multiply(inverse(X_2),multiply(X_2,Z_415)) = multiply(identity,Z_415) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32126]) ).
tff(c_32723,plain,
! [X_432,Z_433] : ( multiply(inverse(X_432),multiply(X_432,Z_433)) = Z_433 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32183]) ).
tff(c_32747,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_32460,c_32723]) ).
tff(c_32796,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32747]) ).
tff(c_32820,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32796,c_177]) ).
tff(c_32879,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32820,c_4]) ).
tff(c_32199,plain,
! [X_2,Z_415] : ( multiply(inverse(X_2),multiply(X_2,Z_415)) = Z_415 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32183]) ).
tff(c_32936,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_32879,c_32199]) ).
tff(c_32948,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32936]) ).
tff(c_30794,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_30733,c_116]) ).
tff(c_58,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_28833,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_28819,c_58]) ).
tff(c_28837,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28833,c_4]) ).
tff(c_30843,plain,
! [X_384,Y_385,Z_386] : ( multiply(multiply(X_384,Y_385),Z_386) = multiply(X_384,multiply(Y_385,Z_386)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30885,plain,
! [Z_386] : ( multiply(sk_c9,multiply(sk_c6,Z_386)) = multiply(identity,Z_386) ),
inference(superposition,[status(thm),theory(equality)],[c_28837,c_30843]) ).
tff(c_31252,plain,
! [Z_401] : ( multiply(sk_c9,multiply(sk_c6,Z_401)) = Z_401 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30885]) ).
tff(c_31264,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_30794,c_31252]) ).
tff(c_30903,plain,
! [X_2,Z_386] : ( multiply(inverse(X_2),multiply(X_2,Z_386)) = multiply(identity,Z_386) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30843]) ).
tff(c_31481,plain,
! [X_406,Z_407] : ( multiply(inverse(X_406),multiply(X_406,Z_407)) = Z_407 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30903]) ).
tff(c_31523,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_31264,c_31481]) ).
tff(c_31660,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31523]) ).
tff(c_30799,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_31083,plain,
! [Z_396] : ( multiply(sk_c1,multiply(sk_c12,Z_396)) = multiply(sk_c11,Z_396) ),
inference(superposition,[status(thm),theory(equality)],[c_30799,c_30843]) ).
tff(c_31110,plain,
multiply(sk_c11,sk_c1) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_200,c_31083]) ).
tff(c_31207,plain,
! [Z_400] : ( multiply(sk_c10,multiply(sk_c12,Z_400)) = multiply(sk_c11,Z_400) ),
inference(superposition,[status(thm),theory(equality)],[c_213,c_30843]) ).
tff(c_31231,plain,
multiply(sk_c11,sk_c1) = multiply(sk_c10,identity),
inference(superposition,[status(thm),theory(equality)],[c_200,c_31207]) ).
tff(c_31236,plain,
multiply(sk_c10,identity) = multiply(sk_c1,identity),
inference(demodulation,[status(thm),theory(equality)],[c_31110,c_31231]) ).
tff(c_31247,plain,
! [Z_5] : ( multiply(multiply(sk_c1,identity),Z_5) = multiply(sk_c10,multiply(identity,Z_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_31236,c_6]) ).
tff(c_31327,plain,
! [Z_404] : ( multiply(sk_c10,Z_404) = multiply(sk_c1,Z_404) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_6,c_31247]) ).
tff(c_31348,plain,
multiply(sk_c1,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31327,c_169]) ).
tff(c_30894,plain,
! [Z_386] : ( multiply(sk_c12,multiply(sk_c1,Z_386)) = multiply(identity,Z_386) ),
inference(superposition,[status(thm),theory(equality)],[c_200,c_30843]) ).
tff(c_30916,plain,
! [Z_386] : ( multiply(sk_c12,multiply(sk_c1,Z_386)) = Z_386 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30894]) ).
tff(c_31375,plain,
multiply(sk_c12,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_31348,c_30916]) ).
tff(c_31714,plain,
multiply(identity,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_31660,c_31375]) ).
tff(c_31725,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31714]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_30811,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_28819,c_52]) ).
tff(c_30771,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_30733,c_114]) ).
tff(c_30775,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30771,c_4]) ).
tff(c_30876,plain,
! [Z_386] : ( multiply(sk_c11,multiply(sk_c5,Z_386)) = multiply(identity,Z_386) ),
inference(superposition,[status(thm),theory(equality)],[c_30775,c_30843]) ).
tff(c_31191,plain,
! [Z_399] : ( multiply(sk_c11,multiply(sk_c5,Z_399)) = Z_399 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30876]) ).
tff(c_31203,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_30811,c_31191]) ).
tff(c_31529,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_31203,c_31481]) ).
tff(c_31661,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31529]) ).
tff(c_31719,plain,
multiply(sk_c3,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_31660,c_30733]) ).
tff(c_32079,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31725,c_31661,c_31719]) ).
tff(c_32080,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_32156,plain,
! [Z_415] : ( multiply(sk_c11,multiply(sk_c5,Z_415)) = multiply(identity,Z_415) ),
inference(superposition,[status(thm),theory(equality)],[c_30775,c_32126]) ).
tff(c_32332,plain,
! [Z_423] : ( multiply(sk_c11,multiply(sk_c5,Z_423)) = Z_423 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32156]) ).
tff(c_32344,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_32080,c_32332]) ).
tff(c_32753,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_32344,c_32723]) ).
tff(c_32797,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32753]) ).
tff(c_32806,plain,
multiply(sk_c2,sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32797,c_28819]) ).
tff(c_33046,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32948,c_32796,c_32806]) ).
tff(c_33047,plain,
inverse(sk_c4) = sk_c12,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_33048,plain,
multiply(sk_c10,sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_88,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c10,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_36210,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_33048,c_88]) ).
tff(c_33052,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33047,c_4]) ).
tff(c_36243,plain,
! [X_495,Y_496,Z_497] : ( multiply(multiply(X_495,Y_496),Z_497) = multiply(X_495,multiply(Y_496,Z_497)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36288,plain,
! [Z_497] : ( multiply(sk_c12,multiply(sk_c4,Z_497)) = multiply(identity,Z_497) ),
inference(superposition,[status(thm),theory(equality)],[c_33052,c_36243]) ).
tff(c_36368,plain,
! [Z_501] : ( multiply(sk_c12,multiply(sk_c4,Z_501)) = Z_501 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36288]) ).
tff(c_36380,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_36210,c_36368]) ).
tff(c_36300,plain,
! [X_2,Z_497] : ( multiply(inverse(X_2),multiply(X_2,Z_497)) = multiply(identity,Z_497) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36243]) ).
tff(c_36459,plain,
! [X_504,Z_505] : ( multiply(inverse(X_504),multiply(X_504,Z_505)) = Z_505 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36300]) ).
tff(c_36489,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36380,c_36459]) ).
tff(c_36588,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36489]) ).
tff(c_35654,plain,
multiply(sk_c3,sk_c10) = sk_c12,
inference(splitLeft,[status(thm)],[c_122]) ).
tff(c_36297,plain,
! [Z_497] : ( multiply(sk_c10,multiply(sk_c3,Z_497)) = multiply(identity,Z_497) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_36243]) ).
tff(c_36344,plain,
! [Z_500] : ( multiply(sk_c10,multiply(sk_c3,Z_500)) = Z_500 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36297]) ).
tff(c_36356,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35654,c_36344]) ).
tff(c_36360,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36356,c_33048]) ).
tff(c_36625,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36588,c_36360]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_33074,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_34751,plain,
! [X_467,Y_468,Z_469] : ( multiply(multiply(X_467,Y_468),Z_469) = multiply(X_467,multiply(Y_468,Z_469)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34799,plain,
! [Z_469] : ( multiply(sk_c12,multiply(sk_c1,Z_469)) = multiply(identity,Z_469) ),
inference(superposition,[status(thm),theory(equality)],[c_200,c_34751]) ).
tff(c_34826,plain,
! [Z_470] : ( multiply(sk_c12,multiply(sk_c1,Z_470)) = Z_470 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34799]) ).
tff(c_34838,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_33074,c_34826]) ).
tff(c_34808,plain,
! [X_2,Z_469] : ( multiply(inverse(X_2),multiply(X_2,Z_469)) = multiply(identity,Z_469) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34751]) ).
tff(c_35001,plain,
! [X_478,Z_479] : ( multiply(inverse(X_478),multiply(X_478,Z_479)) = Z_479 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34808]) ).
tff(c_35052,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_34838,c_35001]) ).
tff(c_35139,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35052]) ).
tff(c_96,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c10,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_33637,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_33048,c_96]) ).
tff(c_98,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c10,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_33062,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_33048,c_98]) ).
tff(c_33066,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33062,c_4]) ).
tff(c_33662,plain,
! [X_446,Y_447,Z_448] : ( multiply(multiply(X_446,Y_447),Z_448) = multiply(X_446,multiply(Y_447,Z_448)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33707,plain,
! [Z_448] : ( multiply(sk_c9,multiply(sk_c6,Z_448)) = multiply(identity,Z_448) ),
inference(superposition,[status(thm),theory(equality)],[c_33066,c_33662]) ).
tff(c_33799,plain,
! [Z_452] : ( multiply(sk_c9,multiply(sk_c6,Z_452)) = Z_452 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33707]) ).
tff(c_33811,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33637,c_33799]) ).
tff(c_33722,plain,
! [X_2,Z_448] : ( multiply(inverse(X_2),multiply(X_2,Z_448)) = multiply(identity,Z_448) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33662]) ).
tff(c_33822,plain,
! [X_453,Z_454] : ( multiply(inverse(X_453),multiply(X_453,Z_454)) = Z_454 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33722]) ).
tff(c_33840,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_33811,c_33822]) ).
tff(c_33940,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33840]) ).
tff(c_33713,plain,
! [Z_448] : ( multiply(sk_c12,multiply(sk_c1,Z_448)) = multiply(identity,Z_448) ),
inference(superposition,[status(thm),theory(equality)],[c_200,c_33662]) ).
tff(c_33740,plain,
! [Z_449] : ( multiply(sk_c12,multiply(sk_c1,Z_449)) = Z_449 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33713]) ).
tff(c_33752,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_33074,c_33740]) ).
tff(c_33855,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_33752,c_33822]) ).
tff(c_33942,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33855]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_33075,plain,
multiply(sk_c2,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_33716,plain,
! [Z_448] : ( multiply(sk_c11,multiply(sk_c2,Z_448)) = multiply(identity,Z_448) ),
inference(superposition,[status(thm),theory(equality)],[c_181,c_33662]) ).
tff(c_33763,plain,
! [Z_450] : ( multiply(sk_c11,multiply(sk_c2,Z_450)) = Z_450 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33716]) ).
tff(c_33775,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_33075,c_33763]) ).
tff(c_33849,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33775,c_33822]) ).
tff(c_33941,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33849]) ).
tff(c_33959,plain,
multiply(identity,sk_c12) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_33941,c_33048]) ).
tff(c_33962,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33959]) ).
tff(c_34028,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33940,c_33942,c_33962]) ).
tff(c_34029,plain,
inverse(sk_c5) = sk_c11,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_34030,plain,
multiply(sk_c2,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_34725,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34030,c_52]) ).
tff(c_35064,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_34725,c_35001]) ).
tff(c_35140,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_34029,c_35064]) ).
tff(c_35310,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35139,c_2,c_35139,c_35140]) ).
tff(c_35312,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35310,c_169]) ).
tff(c_34824,plain,
! [X_2,Z_469] : ( multiply(inverse(X_2),multiply(X_2,Z_469)) = Z_469 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34808]) ).
tff(c_35509,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_35312,c_34824]) ).
tff(c_35521,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35509]) ).
tff(c_34714,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_33048,c_96]) ).
tff(c_34793,plain,
! [Z_469] : ( multiply(sk_c9,multiply(sk_c6,Z_469)) = multiply(identity,Z_469) ),
inference(superposition,[status(thm),theory(equality)],[c_33066,c_34751]) ).
tff(c_34875,plain,
! [Z_473] : ( multiply(sk_c9,multiply(sk_c6,Z_473)) = Z_473 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34793]) ).
tff(c_34887,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34714,c_34875]) ).
tff(c_35040,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_34887,c_35001]) ).
tff(c_35138,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35040]) ).
tff(c_34151,plain,
! [X_456,Y_457,Z_458] : ( multiply(multiply(X_456,Y_457),Z_458) = multiply(X_456,multiply(Y_457,Z_458)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34202,plain,
! [Z_458] : ( multiply(sk_c12,multiply(sk_c1,Z_458)) = multiply(identity,Z_458) ),
inference(superposition,[status(thm),theory(equality)],[c_200,c_34151]) ).
tff(c_34229,plain,
! [Z_459] : ( multiply(sk_c12,multiply(sk_c1,Z_459)) = Z_459 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34202]) ).
tff(c_34241,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_33074,c_34229]) ).
tff(c_34211,plain,
! [X_2,Z_458] : ( multiply(inverse(X_2),multiply(X_2,Z_458)) = multiply(identity,Z_458) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34151]) ).
tff(c_34289,plain,
! [X_462,Z_463] : ( multiply(inverse(X_462),multiply(X_462,Z_463)) = Z_463 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34211]) ).
tff(c_34316,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_34241,c_34289]) ).
tff(c_34402,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34316]) ).
tff(c_34066,plain,
multiply(sk_c3,sk_c10) = sk_c12,
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_34208,plain,
! [Z_458] : ( multiply(sk_c10,multiply(sk_c3,Z_458)) = multiply(identity,Z_458) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_34151]) ).
tff(c_34252,plain,
! [Z_460] : ( multiply(sk_c10,multiply(sk_c3,Z_460)) = Z_460 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34208]) ).
tff(c_34264,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34066,c_34252]) ).
tff(c_34268,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34264,c_33048]) ).
tff(c_34430,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34402,c_34268]) ).
tff(c_34106,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34030,c_52]) ).
tff(c_34337,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_34106,c_34289]) ).
tff(c_34406,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_34029,c_34337]) ).
tff(c_34659,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34402,c_2,c_34402,c_34406]) ).
tff(c_34660,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34430,c_34659]) ).
tff(c_34662,plain,
multiply(sk_c3,sk_c10) != sk_c12,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_35180,plain,
multiply(sk_c3,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35138,c_34662]) ).
tff(c_35640,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35521,c_35310,c_35180]) ).
tff(c_35641,plain,
inverse(sk_c5) = sk_c11,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_92,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c10,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_36226,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_33048,c_92]) ).
tff(c_36513,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36226,c_36459]) ).
tff(c_36591,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_35641,c_36513]) ).
tff(c_36805,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36588,c_2,c_36588,c_36591]) ).
tff(c_36806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36625,c_36805]) ).
tff(c_36808,plain,
multiply(sk_c3,sk_c10) != sk_c12,
inference(splitRight,[status(thm)],[c_122]) ).
tff(c_36870,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_36808,c_108]) ).
tff(c_36920,plain,
! [X_508,Y_509,Z_510] : ( multiply(multiply(X_508,Y_509),Z_510) = multiply(X_508,multiply(Y_509,Z_510)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36974,plain,
! [X_2,Z_510] : ( multiply(inverse(X_2),multiply(X_2,Z_510)) = multiply(identity,Z_510) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36920]) ).
tff(c_37055,plain,
! [X_515,Z_516] : ( multiply(inverse(X_515),multiply(X_515,Z_516)) = Z_516 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36974]) ).
tff(c_37103,plain,
multiply(inverse(sk_c4),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_36870,c_37055]) ).
tff(c_37164,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_33047,c_37103]) ).
tff(c_36990,plain,
! [X_2,Z_510] : ( multiply(inverse(X_2),multiply(X_2,Z_510)) = Z_510 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36974]) ).
tff(c_37242,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_37164,c_36990]) ).
tff(c_37248,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37242]) ).
tff(c_36896,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36808,c_112]) ).
tff(c_37091,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36896,c_37055]) ).
tff(c_37161,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_35641,c_37091]) ).
tff(c_37173,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_37161,c_36990]) ).
tff(c_37179,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37173]) ).
tff(c_37185,plain,
multiply(identity,sk_c12) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_37179,c_33048]) ).
tff(c_37188,plain,
sk_c12 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37185]) ).
tff(c_37251,plain,
sk_c12 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37248,c_37188]) ).
tff(c_36875,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_33048,c_96]) ).
tff(c_37100,plain,
multiply(inverse(sk_c6),sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36875,c_37055]) ).
tff(c_37163,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_33062,c_37100]) ).
tff(c_37314,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_37163,c_36990]) ).
tff(c_37320,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37314]) ).
tff(c_37322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37251,c_37320]) ).
tff(c_37324,plain,
inverse(sk_c1) != sk_c12,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_42,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_37351,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_37324,c_42]) ).
tff(c_37355,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37351,c_4]) ).
tff(c_37471,plain,
! [X_519,Y_520,Z_521] : ( multiply(multiply(X_519,Y_520),Z_521) = multiply(X_519,multiply(Y_520,Z_521)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37507,plain,
! [Z_521] : ( multiply(sk_c7,multiply(sk_c8,Z_521)) = multiply(identity,Z_521) ),
inference(superposition,[status(thm),theory(equality)],[c_37355,c_37471]) ).
tff(c_39262,plain,
! [Z_553] : ( multiply(sk_c7,multiply(sk_c8,Z_553)) = Z_553 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37507]) ).
tff(c_37323,plain,
inverse(sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_37328,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37323,c_4]) ).
tff(c_37510,plain,
! [Z_521] : ( multiply(sk_c9,multiply(sk_c7,Z_521)) = multiply(identity,Z_521) ),
inference(superposition,[status(thm),theory(equality)],[c_37328,c_37471]) ).
tff(c_37533,plain,
! [Z_521] : ( multiply(sk_c9,multiply(sk_c7,Z_521)) = Z_521 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37510]) ).
tff(c_39529,plain,
! [Z_557] : ( multiply(sk_c9,Z_557) = multiply(sk_c8,Z_557) ),
inference(superposition,[status(thm),theory(equality)],[c_39262,c_37533]) ).
tff(c_38,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_37383,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_37324,c_38]) ).
tff(c_37387,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37383,c_4]) ).
tff(c_39556,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39529,c_37387]) ).
tff(c_37532,plain,
! [Z_521] : ( multiply(sk_c7,multiply(sk_c8,Z_521)) = Z_521 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37507]) ).
tff(c_39831,plain,
multiply(sk_c7,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_39556,c_37532]) ).
tff(c_39586,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37328,c_39529]) ).
tff(c_39687,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_39586,c_37532]) ).
tff(c_40166,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39831,c_39687]) ).
tff(c_40,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_37445,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_37324,c_40]) ).
tff(c_39553,plain,
multiply(sk_c8,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_39529,c_37445]) ).
tff(c_39821,plain,
multiply(sk_c7,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_39553,c_37532]) ).
tff(c_40168,plain,
multiply(sk_c6,sk_c12) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_40166,c_39821]) ).
tff(c_28,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_37405,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_37324,c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_37332,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_37341,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37332,c_37324]) ).
tff(c_37342,plain,
inverse(sk_c4) = sk_c12,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_37347,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37342,c_4]) ).
tff(c_37513,plain,
! [Z_521] : ( multiply(sk_c12,multiply(sk_c4,Z_521)) = multiply(identity,Z_521) ),
inference(superposition,[status(thm),theory(equality)],[c_37347,c_37471]) ).
tff(c_39209,plain,
! [Z_551] : ( multiply(sk_c12,multiply(sk_c4,Z_551)) = Z_551 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37513]) ).
tff(c_39221,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_37405,c_39209]) ).
tff(c_39268,plain,
! [Z_553] : ( multiply(sk_c9,Z_553) = multiply(sk_c8,Z_553) ),
inference(superposition,[status(thm),theory(equality)],[c_39262,c_37533]) ).
tff(c_36,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_37412,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_37324,c_36]) ).
tff(c_37492,plain,
! [Z_521] : ( multiply(sk_c6,multiply(sk_c9,Z_521)) = multiply(sk_c12,Z_521) ),
inference(superposition,[status(thm),theory(equality)],[c_37412,c_37471]) ).
tff(c_39841,plain,
! [Z_561] : ( multiply(sk_c6,multiply(sk_c8,Z_561)) = multiply(sk_c12,Z_561) ),
inference(demodulation,[status(thm),theory(equality)],[c_39268,c_37492]) ).
tff(c_39859,plain,
multiply(sk_c6,sk_c12) = multiply(sk_c12,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_39553,c_39841]) ).
tff(c_39875,plain,
multiply(sk_c6,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_39221,c_39859]) ).
tff(c_40391,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_40168,c_39875]) ).
tff(c_37588,plain,
! [Z_525] : ( multiply(sk_c9,multiply(sk_c7,Z_525)) = Z_525 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37510]) ).
tff(c_37600,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37355,c_37588]) ).
tff(c_39615,plain,
! [Z_558] : ( multiply(sk_c9,multiply(sk_c11,Z_558)) = multiply(sk_c12,Z_558) ),
inference(superposition,[status(thm),theory(equality)],[c_37445,c_37471]) ).
tff(c_39651,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_181,c_39615]) ).
tff(c_39661,plain,
multiply(sk_c12,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37600,c_39651]) ).
tff(c_40408,plain,
multiply(sk_c11,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_40391,c_39661]) ).
tff(c_40425,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_181,c_40408]) ).
tff(c_40178,plain,
inverse(sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40166,c_37351]) ).
tff(c_40433,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40425,c_40178]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_37439,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_37324,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_37371,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_37324,c_34]) ).
tff(c_37375,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37371,c_4]) ).
tff(c_37504,plain,
! [Z_521] : ( multiply(sk_c11,multiply(sk_c5,Z_521)) = multiply(identity,Z_521) ),
inference(superposition,[status(thm),theory(equality)],[c_37375,c_37471]) ).
tff(c_37565,plain,
! [Z_524] : ( multiply(sk_c11,multiply(sk_c5,Z_524)) = Z_524 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37504]) ).
tff(c_37577,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_37439,c_37565]) ).
tff(c_40090,plain,
! [Z_564] : ( multiply(sk_c5,multiply(sk_c11,Z_564)) = multiply(sk_c10,Z_564) ),
inference(superposition,[status(thm),theory(equality)],[c_37439,c_37471]) ).
tff(c_40111,plain,
multiply(sk_c5,sk_c11) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_37577,c_40090]) ).
tff(c_40128,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37439,c_40111]) ).
tff(c_37522,plain,
! [X_2,Z_521] : ( multiply(inverse(X_2),multiply(X_2,Z_521)) = multiply(identity,Z_521) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37471]) ).
tff(c_40537,plain,
! [X_568,Z_569] : ( multiply(inverse(X_568),multiply(X_568,Z_569)) = Z_569 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37522]) ).
tff(c_40570,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_40128,c_40537]) ).
tff(c_40603,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40570]) ).
tff(c_37501,plain,
! [Z_521] : ( multiply(sk_c9,multiply(sk_c6,Z_521)) = multiply(identity,Z_521) ),
inference(superposition,[status(thm),theory(equality)],[c_37387,c_37471]) ).
tff(c_37613,plain,
! [Z_526] : ( multiply(sk_c9,multiply(sk_c6,Z_526)) = Z_526 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37501]) ).
tff(c_37625,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_37412,c_37613]) ).
tff(c_37704,plain,
! [X_529,Z_530] : ( multiply(inverse(X_529),multiply(X_529,Z_530)) = Z_530 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37522]) ).
tff(c_37734,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_37625,c_37704]) ).
tff(c_37829,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37734]) ).
tff(c_37773,plain,
multiply(inverse(sk_c4),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_37405,c_37704]) ).
tff(c_37833,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_37342,c_37773]) ).
tff(c_38044,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37829,c_2,c_37829,c_37833]) ).
tff(c_37749,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_37577,c_37704]) ).
tff(c_37830,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37749]) ).
tff(c_37604,plain,
multiply(sk_c10,sk_c12) != sk_c11,
inference(splitLeft,[status(thm)],[c_148]) ).
tff(c_37848,plain,
multiply(sk_c10,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_37829,c_37604]) ).
tff(c_38230,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38044,c_2,c_37830,c_37848]) ).
tff(c_38232,plain,
multiply(sk_c10,sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_39232,plain,
! [Z_552] : ( multiply(sk_c10,multiply(sk_c12,Z_552)) = multiply(sk_c11,Z_552) ),
inference(superposition,[status(thm),theory(equality)],[c_38232,c_6]) ).
tff(c_39244,plain,
multiply(sk_c11,sk_c11) = multiply(sk_c10,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_39221,c_39232]) ).
tff(c_39254,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_38232,c_39244]) ).
tff(c_40108,plain,
multiply(sk_c5,sk_c11) = multiply(sk_c10,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_39254,c_40090]) ).
tff(c_40127,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37439,c_40108]) ).
tff(c_40416,plain,
multiply(sk_c10,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_40391,c_38232]) ).
tff(c_40428,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_40127,c_40416]) ).
tff(c_40232,plain,
sk_c12 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_40168,c_39875]) ).
tff(c_40257,plain,
multiply(sk_c10,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_40232,c_38232]) ).
tff(c_40269,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_40127,c_40257]) ).
tff(c_38272,plain,
! [Z_536] : ( multiply(sk_c12,multiply(sk_c4,Z_536)) = Z_536 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37513]) ).
tff(c_38284,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_37405,c_38272]) ).
tff(c_38588,plain,
! [X_543,Z_544] : ( multiply(inverse(X_543),multiply(X_543,Z_544)) = Z_544 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37522]) ).
tff(c_38648,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_38284,c_38588]) ).
tff(c_38755,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38648]) ).
tff(c_38786,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38755,c_177]) ).
tff(c_38919,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38786,c_4]) ).
tff(c_37537,plain,
! [X_2,Z_521] : ( multiply(inverse(X_2),multiply(X_2,Z_521)) = Z_521 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37522]) ).
tff(c_38932,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_38919,c_37537]) ).
tff(c_38944,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38932]) ).
tff(c_38248,plain,
! [Z_535] : ( multiply(sk_c9,multiply(sk_c6,Z_535)) = Z_535 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37501]) ).
tff(c_38260,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_37412,c_38248]) ).
tff(c_38654,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_38260,c_38588]) ).
tff(c_38756,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38654]) ).
tff(c_38495,plain,
! [Z_542] : ( multiply(sk_c9,multiply(sk_c11,Z_542)) = multiply(sk_c12,Z_542) ),
inference(superposition,[status(thm),theory(equality)],[c_37445,c_37471]) ).
tff(c_38531,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_181,c_38495]) ).
tff(c_38541,plain,
multiply(sk_c12,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37600,c_38531]) ).
tff(c_38795,plain,
multiply(identity,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_38756,c_38541]) ).
tff(c_38804,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38795]) ).
tff(c_38528,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_37375,c_38495]) ).
tff(c_38540,plain,
multiply(sk_c12,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37600,c_38528]) ).
tff(c_38796,plain,
multiply(identity,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_38756,c_38540]) ).
tff(c_38805,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38796]) ).
tff(c_38889,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_38804,c_38805]) ).
tff(c_38950,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38944,c_38889]) ).
tff(c_38784,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38755,c_37371]) ).
tff(c_39029,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38950,c_38784]) ).
tff(c_38325,plain,
! [Z_538] : ( multiply(sk_c7,multiply(sk_c8,Z_538)) = Z_538 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37507]) ).
tff(c_38406,plain,
! [Z_541] : ( multiply(sk_c9,Z_541) = multiply(sk_c8,Z_541) ),
inference(superposition,[status(thm),theory(equality)],[c_38325,c_37533]) ).
tff(c_38424,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38406,c_37600]) ).
tff(c_38418,plain,
multiply(sk_c8,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_38406,c_38260]) ).
tff(c_38797,plain,
multiply(sk_c8,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_38756,c_38418]) ).
tff(c_38806,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_38424,c_38797]) ).
tff(c_38884,plain,
sk_c9 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_38804,c_38806]) ).
tff(c_38951,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38944,c_38884]) ).
tff(c_38231,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_38369,plain,
! [X8_539,X7_540] :
( ( inverse(multiply(X8_539,inverse(X7_540))) != inverse(X7_540) )
| ( multiply(X8_539,inverse(X7_540)) != inverse(X8_539) )
| ( multiply(inverse(X7_540),sk_c11) != sk_c12 )
| ( multiply(X7_540,inverse(X7_540)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_38231]) ).
tff(c_38374,plain,
! [X8_539] :
( ( inverse(multiply(X8_539,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_539,inverse(sk_c6)) != inverse(X8_539) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_37383,c_38369]) ).
tff(c_38395,plain,
! [X8_539] :
( ( inverse(multiply(X8_539,sk_c9)) != sk_c9 )
| ( multiply(X8_539,sk_c9) != inverse(X8_539) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37412,c_37383,c_37445,c_37383,c_37383,c_37383,c_38374]) ).
tff(c_39184,plain,
! [X8_550] :
( ( inverse(multiply(X8_550,identity)) != identity )
| ( multiply(X8_550,identity) != inverse(X8_550) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38951,c_38951,c_38951,c_38395]) ).
tff(c_39192,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39184]) ).
tff(c_39200,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39029,c_39029,c_4,c_39029,c_39192]) ).
tff(c_39201,plain,
! [X5_6,X2_12,X4_14,X6_7,X1_11] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_38231]) ).
tff(c_39492,plain,
! [X4_556] :
( ( inverse(X4_556) != sk_c12 )
| ( multiply(X4_556,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_39201]) ).
tff(c_39512,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_37405,c_39492]) ).
tff(c_39527,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37342,c_39512]) ).
tff(c_39528,plain,
! [X5_6,X6_7,X1_11,X2_12] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_39201]) ).
tff(c_39779,plain,
! [X2_560] :
( ( inverse(X2_560) != sk_c11 )
| ( multiply(X2_560,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_39528]) ).
tff(c_39802,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_37439,c_39779]) ).
tff(c_39816,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37371,c_39802]) ).
tff(c_39817,plain,
! [X1_11,X6_7,X5_6] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_39528]) ).
tff(c_40015,plain,
! [X5_563] :
( ( inverse(X5_563) != sk_c11 )
| ( multiply(X5_563,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_39817]) ).
tff(c_40041,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_37439,c_40015]) ).
tff(c_40055,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37371,c_40041]) ).
tff(c_40056,plain,
! [X6_7,X1_11] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_39817]) ).
tff(c_40189,plain,
! [X1_11] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_40056]) ).
tff(c_40290,plain,
! [X1_565] :
( ( inverse(X1_565) != sk_c11 )
| ( multiply(X1_565,sk_c11) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40232,c_40232,c_40189]) ).
tff(c_40303,plain,
( ( inverse(sk_c5) != sk_c11 )
| ( sk_c11 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_37439,c_40290]) ).
tff(c_40314,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37371,c_40303]) ).
tff(c_40342,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40269,c_40314]) ).
tff(c_40343,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_40056]) ).
tff(c_40449,plain,
! [X6_567] :
( ( inverse(X6_567) != sk_c10 )
| ( multiply(X6_567,sk_c10) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40391,c_40343]) ).
tff(c_40468,plain,
inverse(sk_c11) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_37577,c_40449]) ).
tff(c_40536,plain,
inverse(sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_40428,c_40468]) ).
tff(c_40607,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40603,c_40603,c_40536]) ).
tff(c_40618,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40433,c_40607]) ).
tff(c_40421,plain,
inverse(sk_c4) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_40391,c_37342]) ).
tff(c_40528,plain,
inverse(sk_c4) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_40428,c_40421]) ).
tff(c_40532,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40528,c_4]) ).
tff(c_40632,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40603,c_40532]) ).
tff(c_40608,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40603,c_40528]) ).
tff(c_40668,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40433,c_40632,c_40608]) ).
tff(c_40669,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40618,c_40668]) ).
tff(c_40670,plain,
inverse(sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_40675,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40670,c_4]) ).
tff(c_40671,plain,
inverse(sk_c2) != sk_c11,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_86,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_40743,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_40671,c_86]) ).
tff(c_76,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_40800,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_40671,c_76]) ).
tff(c_78,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_40710,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_40671,c_78]) ).
tff(c_40714,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40710,c_4]) ).
tff(c_40862,plain,
! [Z_572] : ( multiply(sk_c9,multiply(sk_c6,Z_572)) = multiply(identity,Z_572) ),
inference(superposition,[status(thm),theory(equality)],[c_40714,c_40826]) ).
tff(c_41538,plain,
! [Z_584] : ( multiply(sk_c9,multiply(sk_c6,Z_584)) = Z_584 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40862]) ).
tff(c_41550,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_40800,c_41538]) ).
tff(c_41574,plain,
! [Z_586] : ( multiply(sk_c8,multiply(sk_c9,Z_586)) = multiply(sk_c7,Z_586) ),
inference(superposition,[status(thm),theory(equality)],[c_40743,c_40826]) ).
tff(c_41586,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c7,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_41550,c_41574]) ).
tff(c_41602,plain,
multiply(sk_c7,sk_c12) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_40743,c_41586]) ).
tff(c_40871,plain,
! [Z_572] : ( multiply(sk_c9,multiply(sk_c7,Z_572)) = multiply(identity,Z_572) ),
inference(superposition,[status(thm),theory(equality)],[c_40675,c_40826]) ).
tff(c_68677,plain,
! [Z_783] : ( multiply(sk_c9,multiply(sk_c7,Z_783)) = Z_783 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40871]) ).
tff(c_68692,plain,
multiply(sk_c9,sk_c7) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_41602,c_68677]) ).
tff(c_68699,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40675,c_68692]) ).
tff(c_70,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_40679,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_40671,c_70]) ).
tff(c_68743,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68699,c_40679]) ).
tff(c_68752,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68743,c_4]) ).
tff(c_69731,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_68752,c_2]) ).
tff(c_69740,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69731,c_68743]) ).
tff(c_68,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_40787,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_40671,c_68]) ).
tff(c_40683,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40679,c_4]) ).
tff(c_40868,plain,
! [Z_572] : ( multiply(sk_c12,multiply(sk_c4,Z_572)) = multiply(identity,Z_572) ),
inference(superposition,[status(thm),theory(equality)],[c_40683,c_40826]) ).
tff(c_41610,plain,
! [Z_587] : ( multiply(sk_c12,multiply(sk_c4,Z_587)) = Z_587 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40868]) ).
tff(c_41622,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_40787,c_41610]) ).
tff(c_68731,plain,
multiply(identity,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68699,c_68699,c_41622]) ).
tff(c_69761,plain,
sk_c11 = identity,
inference(superposition,[status(thm),theory(equality)],[c_68731,c_2]) ).
tff(c_74,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_40696,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_40671,c_74]) ).
tff(c_69773,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69761,c_40696]) ).
tff(c_69876,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69773,c_4]) ).
tff(c_69957,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_69876,c_40892]) ).
tff(c_69969,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_69957]) ).
tff(c_72,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_40777,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_40671,c_72]) ).
tff(c_40847,plain,
! [Z_572] : ( multiply(sk_c5,multiply(sk_c11,Z_572)) = multiply(sk_c10,Z_572) ),
inference(superposition,[status(thm),theory(equality)],[c_40777,c_40826]) ).
tff(c_70183,plain,
! [Z_804] : ( multiply(sk_c10,Z_804) = Z_804 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69969,c_2,c_69761,c_40847]) ).
tff(c_70198,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_70183,c_169]) ).
tff(c_70213,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_70198,c_165]) ).
tff(c_70216,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69740,c_70213]) ).
tff(c_68859,plain,
! [X_785,Z_786] : ( multiply(inverse(X_785),multiply(X_785,Z_786)) = Z_786 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40877]) ).
tff(c_69319,plain,
! [X_790,Z_791] : ( multiply(inverse(inverse(X_790)),Z_791) = multiply(X_790,Z_791) ),
inference(superposition,[status(thm),theory(equality)],[c_68859,c_40892]) ).
tff(c_68940,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_68859]) ).
tff(c_69326,plain,
! [X_790] : ( multiply(X_790,identity) = X_790 ),
inference(superposition,[status(thm),theory(equality)],[c_69319,c_68940]) ).
tff(c_40981,plain,
! [Z_577] : ( multiply(sk_c12,multiply(sk_c4,Z_577)) = Z_577 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40868]) ).
tff(c_40993,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_40787,c_40981]) ).
tff(c_41004,plain,
! [X_578,Z_579] : ( multiply(inverse(X_578),multiply(X_578,Z_579)) = Z_579 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40877]) ).
tff(c_41022,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_40993,c_41004]) ).
tff(c_41113,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41022]) ).
tff(c_41131,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41113,c_40696]) ).
tff(c_41143,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41131,c_4]) ).
tff(c_41150,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_41143,c_40892]) ).
tff(c_41162,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41150]) ).
tff(c_41166,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41162,c_41131]) ).
tff(c_41325,plain,
! [Z_581] : ( multiply(sk_c10,Z_581) = Z_581 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41162,c_2,c_41113,c_40847]) ).
tff(c_41340,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_41325,c_169]) ).
tff(c_41355,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_41340,c_165]) ).
tff(c_41358,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41166,c_41355]) ).
tff(c_41049,plain,
multiply(inverse(sk_c6),sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_40800,c_41004]) ).
tff(c_41116,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_40710,c_41049]) ).
tff(c_41189,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_41116,c_40892]) ).
tff(c_41198,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41189]) ).
tff(c_40894,plain,
multiply(sk_c10,sk_c12) != sk_c11,
inference(splitLeft,[status(thm)],[c_148]) ).
tff(c_41126,plain,
multiply(sk_c10,sk_c12) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_41113,c_40894]) ).
tff(c_41528,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41358,c_41198,c_41126]) ).
tff(c_41530,plain,
multiply(sk_c10,sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_68700,plain,
! [Z_784] : ( multiply(sk_c10,multiply(sk_c12,Z_784)) = multiply(sk_c11,Z_784) ),
inference(superposition,[status(thm),theory(equality)],[c_41530,c_6]) ).
tff(c_68712,plain,
multiply(sk_c11,sk_c11) = multiply(sk_c10,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_41622,c_68700]) ).
tff(c_68728,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_41530,c_68712]) ).
tff(c_68901,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_68728,c_68859]) ).
tff(c_68952,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_68901]) ).
tff(c_41663,plain,
! [Z_589] : ( multiply(sk_c9,multiply(sk_c7,Z_589)) = Z_589 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40871]) ).
tff(c_41678,plain,
multiply(sk_c9,sk_c7) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_41602,c_41663]) ).
tff(c_41685,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40675,c_41678]) ).
tff(c_41699,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41685,c_40679]) ).
tff(c_41727,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41699,c_4]) ).
tff(c_42081,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_41727,c_40892]) ).
tff(c_42093,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42081]) ).
tff(c_42097,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42093,c_41699]) ).
tff(c_82,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_40722,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_40671,c_82]) ).
tff(c_40726,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40722,c_4]) ).
tff(c_41681,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40726,c_41663]) ).
tff(c_41691,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_41685,c_41550]) ).
tff(c_41760,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41681,c_41691]) ).
tff(c_41762,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41760,c_41681]) ).
tff(c_41687,plain,
multiply(identity,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41685,c_41685,c_41622]) ).
tff(c_41835,plain,
sk_c11 = identity,
inference(superposition,[status(thm),theory(equality)],[c_41687,c_2]) ).
tff(c_80,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_40764,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_40671,c_80]) ).
tff(c_41695,plain,
multiply(sk_c9,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41685,c_40764]) ).
tff(c_41761,plain,
multiply(sk_c8,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41760,c_41695]) ).
tff(c_42024,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41762,c_41835,c_41761]) ).
tff(c_41880,plain,
! [X_593,Z_594] : ( multiply(inverse(X_593),multiply(X_593,Z_594)) = Z_594 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40877]) ).
tff(c_42340,plain,
! [X_599,Z_600] : ( multiply(inverse(inverse(X_599)),Z_600) = multiply(X_599,Z_600) ),
inference(superposition,[status(thm),theory(equality)],[c_41880,c_40892]) ).
tff(c_41940,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41880]) ).
tff(c_42347,plain,
! [X_599] : ( multiply(X_599,identity) = X_599 ),
inference(superposition,[status(thm),theory(equality)],[c_42340,c_41940]) ).
tff(c_41770,plain,
inverse(sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41760,c_40670]) ).
tff(c_41529,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_41649,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_41529]) ).
tff(c_41775,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != identity )
| ( multiply(X7_10,inverse(X7_10)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41685,c_41685,c_41649]) ).
tff(c_41810,plain,
! [X8_13] :
( ( inverse(multiply(X8_13,sk_c8)) != inverse(sk_c7) )
| ( multiply(X8_13,inverse(sk_c7)) != inverse(X8_13) )
| ( multiply(inverse(sk_c7),sk_c11) != identity )
| ( multiply(sk_c7,inverse(sk_c7)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_41770,c_41775]) ).
tff(c_41817,plain,
! [X8_13] :
( ( inverse(multiply(X8_13,sk_c8)) != sk_c8 )
| ( multiply(X8_13,sk_c8) != inverse(X8_13) )
| ( multiply(sk_c8,sk_c11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40726,c_41770,c_41770,c_41770,c_41770,c_41810]) ).
tff(c_68641,plain,
! [X8_781] :
( ( inverse(X8_781) != identity )
| ( inverse(X8_781) != X8_781 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42024,c_41835,c_42347,c_42024,c_42347,c_42024,c_42024,c_41817]) ).
tff(c_68653,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_42097,c_68641]) ).
tff(c_68662,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42097,c_68653]) ).
tff(c_68663,plain,
! [X5_6,X2_12,X4_14,X6_7,X1_11] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_41529]) ).
tff(c_68781,plain,
! [X5_6,X2_12,X4_14,X6_7,X1_11] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != identity )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != identity )
| ( multiply(X4_14,identity) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68699,c_68699,c_68699,c_68699,c_68699,c_68663]) ).
tff(c_68782,plain,
! [X4_14] :
( ( inverse(X4_14) != identity )
| ( multiply(X4_14,identity) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_68781]) ).
tff(c_69721,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_69326,c_68952,c_68782]) ).
tff(c_69060,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_68752,c_40892]) ).
tff(c_69072,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_69060]) ).
tff(c_69076,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69072,c_68743]) ).
tff(c_69723,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69721,c_69076]) ).
tff(c_69724,plain,
! [X5_6,X6_7,X1_11,X2_12] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != identity )
| ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_68781]) ).
tff(c_241857,plain,
! [X5_6,X6_7,X1_11,X2_12] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X2_12) != identity )
| ( identity != X2_12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70290,c_70216,c_69761,c_69761,c_70290,c_69761,c_70290,c_70216,c_70216,c_70290,c_70216,c_69761,c_69761,c_69724]) ).
tff(c_241859,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_241857]) ).
tff(c_241861,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241859,c_69740]) ).
tff(c_241862,plain,
! [X1_11,X6_7,X5_6] :
( ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(splitRight,[status(thm)],[c_241857]) ).
tff(c_241864,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_241862]) ).
tff(c_241866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241864,c_69740]) ).
tff(c_241867,plain,
! [X6_7,X1_11] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 ) ),
inference(splitRight,[status(thm)],[c_241862]) ).
tff(c_244639,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_241867]) ).
tff(c_244641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244639,c_69740]) ).
tff(c_244643,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_241867]) ).
tff(c_244645,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244643,c_69740]) ).
tff(c_244646,plain,
inverse(sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_144]) ).
tff(c_244651,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_244646,c_4]) ).
tff(c_244647,plain,
inverse(sk_c3) != sk_c10,
inference(splitRight,[status(thm)],[c_144]) ).
tff(c_146,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_244782,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_244647,c_146]) ).
tff(c_136,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_244743,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_244647,c_136]) ).
tff(c_138,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_244711,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_244647,c_138]) ).
tff(c_244715,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_244711,c_4]) ).
tff(c_244847,plain,
! [Z_1327] : ( multiply(sk_c9,multiply(sk_c6,Z_1327)) = multiply(identity,Z_1327) ),
inference(superposition,[status(thm),theory(equality)],[c_244715,c_244814]) ).
tff(c_244882,plain,
! [Z_1328] : ( multiply(sk_c9,multiply(sk_c6,Z_1328)) = Z_1328 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_244847]) ).
tff(c_244894,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_244743,c_244882]) ).
tff(c_245648,plain,
! [Z_1339] : ( multiply(sk_c8,multiply(sk_c9,Z_1339)) = multiply(sk_c7,Z_1339) ),
inference(superposition,[status(thm),theory(equality)],[c_244782,c_244814]) ).
tff(c_245660,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c7,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_244894,c_245648]) ).
tff(c_245676,plain,
multiply(sk_c7,sk_c12) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_244782,c_245660]) ).
tff(c_244862,plain,
! [Z_1327] : ( multiply(sk_c9,multiply(sk_c7,Z_1327)) = multiply(identity,Z_1327) ),
inference(superposition,[status(thm),theory(equality)],[c_244651,c_244814]) ).
tff(c_275627,plain,
! [Z_1542] : ( multiply(sk_c9,multiply(sk_c7,Z_1542)) = Z_1542 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_244862]) ).
tff(c_275645,plain,
multiply(sk_c9,sk_c7) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_245676,c_275627]) ).
tff(c_275653,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_244651,c_275645]) ).
tff(c_130,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_244684,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_244647,c_130]) ).
tff(c_275710,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_275653,c_244684]) ).
tff(c_275726,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_275710,c_4]) ).
tff(c_276817,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_275726,c_244880]) ).
tff(c_276829,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_276817]) ).
tff(c_128,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_244760,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_244647,c_128]) ).
tff(c_275705,plain,
multiply(sk_c4,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_275653,c_244760]) ).
tff(c_276894,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_276829,c_275705]) ).
tff(c_132,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_244789,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_244647,c_132]) ).
tff(c_134,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_244655,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_244647,c_134]) ).
tff(c_244659,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_244655,c_4]) ).
tff(c_244859,plain,
! [Z_1327] : ( multiply(sk_c11,multiply(sk_c5,Z_1327)) = multiply(identity,Z_1327) ),
inference(superposition,[status(thm),theory(equality)],[c_244659,c_244814]) ).
tff(c_245709,plain,
! [Z_1340] : ( multiply(sk_c11,multiply(sk_c5,Z_1340)) = Z_1340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_244859]) ).
tff(c_245721,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_244789,c_245709]) ).
tff(c_276669,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_245721,c_276636]) ).
tff(c_276711,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_276669]) ).
tff(c_275802,plain,
! [X_1544,Z_1545] : ( multiply(inverse(X_1544),multiply(X_1544,Z_1545)) = Z_1545 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_244865]) ).
tff(c_276218,plain,
! [X_1548,Z_1549] : ( multiply(inverse(inverse(X_1548)),Z_1549) = multiply(X_1548,Z_1549) ),
inference(superposition,[status(thm),theory(equality)],[c_244880,c_275802]) ).
tff(c_275871,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_275802]) ).
tff(c_276225,plain,
! [X_1548] : ( multiply(X_1548,identity) = X_1548 ),
inference(superposition,[status(thm),theory(equality)],[c_276218,c_275871]) ).
tff(c_244688,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_244684,c_4]) ).
tff(c_275709,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_275653,c_244688]) ).
tff(c_275794,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_275709,c_2]) ).
tff(c_275920,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_275794,c_275705]) ).
tff(c_245733,plain,
! [Z_1341] : ( multiply(sk_c9,multiply(sk_c7,Z_1341)) = Z_1341 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_244862]) ).
tff(c_245751,plain,
multiply(sk_c9,sk_c7) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_245676,c_245733]) ).
tff(c_245759,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_244651,c_245751]) ).
tff(c_245813,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_245759,c_244684]) ).
tff(c_245829,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_245813,c_4]) ).
tff(c_246062,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_245829,c_244880]) ).
tff(c_246074,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_246062]) ).
tff(c_246090,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_246074,c_245813]) ).
tff(c_142,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_244698,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_244647,c_142]) ).
tff(c_244702,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_244698,c_4]) ).
tff(c_245754,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_244702,c_245733]) ).
tff(c_245809,plain,
multiply(sk_c6,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_245759,c_244743]) ).
tff(c_244874,plain,
! [Z_1327] : ( multiply(sk_c9,multiply(sk_c6,Z_1327)) = Z_1327 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_244847]) ).
tff(c_245924,plain,
multiply(sk_c9,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_245809,c_244874]) ).
tff(c_245930,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_245754,c_245924]) ).
tff(c_245805,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_245759,c_244894]) ).
tff(c_246034,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_245930,c_245930,c_245805]) ).
tff(c_245808,plain,
multiply(sk_c4,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_245759,c_244760]) ).
tff(c_246050,plain,
multiply(inverse(sk_c4),sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_245808,c_244880]) ).
tff(c_246056,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_245813,c_246050]) ).
tff(c_140,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_244769,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_244647,c_140]) ).
tff(c_245807,plain,
multiply(sk_c9,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_245759,c_244769]) ).
tff(c_246160,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_246034,c_246056,c_245930,c_245807]) ).
tff(c_245955,plain,
! [X_1345,Z_1346] : ( multiply(inverse(X_1345),multiply(X_1345,Z_1346)) = Z_1346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_244865]) ).
tff(c_246332,plain,
! [X_1349,Z_1350] : ( multiply(inverse(inverse(X_1349)),Z_1350) = multiply(X_1349,Z_1350) ),
inference(superposition,[status(thm),theory(equality)],[c_244880,c_245955]) ).
tff(c_246009,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_245955]) ).
tff(c_246339,plain,
! [X_1349] : ( multiply(X_1349,identity) = X_1349 ),
inference(superposition,[status(thm),theory(equality)],[c_246332,c_246009]) ).
tff(c_244879,plain,
! [Z_1327] : ( multiply(sk_c9,multiply(sk_c7,Z_1327)) = Z_1327 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_244862]) ).
tff(c_245669,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_244715,c_245648]) ).
tff(c_245672,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_244651,c_245648]) ).
tff(c_245700,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c6),
inference(demodulation,[status(thm),theory(equality)],[c_245669,c_245672]) ).
tff(c_245748,plain,
multiply(sk_c9,multiply(sk_c7,sk_c6)) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_245700,c_245733]) ).
tff(c_245758,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_244879,c_245748]) ).
tff(c_245767,plain,
multiply(sk_c6,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_245758,c_244702]) ).
tff(c_245938,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_245930,c_244711]) ).
tff(c_245001,plain,
! [X_1333,Z_1334] : ( multiply(inverse(X_1333),multiply(X_1333,Z_1334)) = Z_1334 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_244865]) ).
tff(c_245040,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_244894,c_245001]) ).
tff(c_245117,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_245040]) ).
tff(c_244906,plain,
! [Z_1329] : ( multiply(sk_c11,multiply(sk_c5,Z_1329)) = Z_1329 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_244859]) ).
tff(c_244918,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_244789,c_244906]) ).
tff(c_245031,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_244918,c_245001]) ).
tff(c_245116,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_245031]) ).
tff(c_244853,plain,
! [Z_1327] : ( multiply(sk_c12,multiply(sk_c4,Z_1327)) = multiply(identity,Z_1327) ),
inference(superposition,[status(thm),theory(equality)],[c_244688,c_244814]) ).
tff(c_244962,plain,
! [Z_1331] : ( multiply(sk_c12,multiply(sk_c4,Z_1331)) = Z_1331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_244853]) ).
tff(c_244974,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_244760,c_244962]) ).
tff(c_245022,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_244974,c_245001]) ).
tff(c_245114,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_245022]) ).
tff(c_244898,plain,
multiply(sk_c10,sk_c12) != sk_c11,
inference(splitLeft,[status(thm)],[c_148]) ).
tff(c_245131,plain,
multiply(sk_c10,sk_c12) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_245114,c_244898]) ).
tff(c_245631,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_245117,c_2,c_245116,c_245131]) ).
tff(c_245632,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_245725,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_245632]) ).
tff(c_245847,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != identity )
| ( multiply(X7_10,inverse(X7_10)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_245759,c_245759,c_245725]) ).
tff(c_245946,plain,
! [X8_13] :
( ( inverse(multiply(X8_13,sk_c8)) != inverse(sk_c6) )
| ( multiply(X8_13,inverse(sk_c6)) != inverse(X8_13) )
| ( multiply(inverse(sk_c6),sk_c11) != identity )
| ( multiply(sk_c6,inverse(sk_c6)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_245938,c_245847]) ).
tff(c_245953,plain,
! [X8_13] :
( ( inverse(multiply(X8_13,sk_c8)) != sk_c8 )
| ( multiply(X8_13,sk_c8) != inverse(X8_13) )
| ( multiply(sk_c8,sk_c11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_245767,c_245938,c_245938,c_245938,c_245938,c_245946]) ).
tff(c_275597,plain,
! [X8_1541] :
( ( inverse(X8_1541) != identity )
| ( inverse(X8_1541) != X8_1541 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_246160,c_246056,c_246339,c_246160,c_246339,c_246160,c_246160,c_245953]) ).
tff(c_275609,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_246090,c_275597]) ).
tff(c_275618,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_246090,c_275609]) ).
tff(c_275619,plain,
! [X5_6,X2_12,X4_14,X6_7,X1_11] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_245632]) ).
tff(c_275737,plain,
! [X5_6,X2_12,X4_14,X6_7,X1_11] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != identity )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != identity )
| ( multiply(X4_14,identity) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_275653,c_275653,c_275653,c_275653,c_275653,c_275619]) ).
tff(c_275738,plain,
! [X4_14] :
( ( inverse(X4_14) != identity )
| ( multiply(X4_14,identity) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_275737]) ).
tff(c_276614,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_276225,c_275920,c_275738]) ).
tff(c_275885,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_275794,c_275710]) ).
tff(c_276616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_276614,c_275885]) ).
tff(c_276617,plain,
! [X5_6,X6_7,X1_11,X2_12] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != identity )
| ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_275737]) ).
tff(c_463130,plain,
! [X5_6,X6_7,X1_11,X2_12] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X2_12) != identity )
| ( identity != X2_12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_277192,c_276894,c_276711,c_276894,c_277192,c_276894,c_277192,c_276711,c_276711,c_277192,c_276894,c_276711,c_276894,c_276617]) ).
tff(c_463132,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_463130]) ).
tff(c_276834,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_276829,c_275710]) ).
tff(c_463134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_463132,c_276834]) ).
tff(c_463135,plain,
! [X1_11,X6_7,X5_6] :
( ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(splitRight,[status(thm)],[c_463130]) ).
tff(c_463137,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_463135]) ).
tff(c_463139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_463137,c_276834]) ).
tff(c_463140,plain,
! [X6_7,X1_11] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 ) ),
inference(splitRight,[status(thm)],[c_463135]) ).
tff(c_466702,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_463140]) ).
tff(c_466704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_466702,c_276834]) ).
tff(c_466706,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_463140]) ).
tff(c_466708,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_466706,c_276834]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP258-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:03:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 82.45/67.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 82.75/67.92
% 82.75/67.92 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 83.15/68.02
% 83.15/68.02 Inference rules
% 83.15/68.02 ----------------------
% 83.15/68.02 #Ref : 0
% 83.15/68.02 #Sup : 111429
% 83.15/68.02 #Fact : 0
% 83.15/68.02 #Define : 0
% 83.15/68.02 #Split : 65
% 83.15/68.02 #Chain : 0
% 83.15/68.02 #Close : 0
% 83.15/68.02
% 83.15/68.02 Ordering : KBO
% 83.15/68.02
% 83.15/68.02 Simplification rules
% 83.15/68.02 ----------------------
% 83.15/68.02 #Subsume : 13
% 83.15/68.02 #Demod : 598593
% 83.15/68.02 #Tautology : 89904
% 83.15/68.02 #SimpNegUnit : 250
% 83.15/68.02 #BackRed : 1675
% 83.15/68.02
% 83.15/68.02 #Partial instantiations: 0
% 83.15/68.02 #Strategies tried : 1
% 83.15/68.02
% 83.15/68.02 Timing (in seconds)
% 83.15/68.02 ----------------------
% 83.15/68.02 Preprocessing : 0.61
% 83.15/68.02 Parsing : 0.21
% 83.15/68.02 CNF conversion : 0.03
% 83.15/68.02 Main loop : 66.11
% 83.15/68.02 Inferencing : 12.24
% 83.15/68.02 Reduction : 47.07
% 83.15/68.02 Demodulation : 45.23
% 83.15/68.02 BG Simplification : 0.83
% 83.15/68.02 Subsumption : 4.64
% 83.15/68.02 Abstraction : 3.74
% 83.15/68.02 MUC search : 0.00
% 83.15/68.02 Cooper : 0.00
% 83.15/68.02 Total : 66.98
% 83.15/68.02 Index Insertion : 0.00
% 83.15/68.02 Index Deletion : 0.00
% 83.15/68.02 Index Matching : 0.00
% 83.15/68.02 BG Taut test : 0.00
%------------------------------------------------------------------------------