TSTP Solution File: GRP228-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP228-1 : 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 : n006.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 10:40:33 EDT 2023
% Result : Unsatisfiable 78.93s 65.42s
% Output : CNFRefutation 79.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 52
% Syntax : Number of formulae : 725 ( 580 unt; 13 typ; 0 def)
% Number of atoms : 995 ( 969 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 595 ( 312 ~; 283 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 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 : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 408 (; 408 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > 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_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c10,sk_c3) = sk_c9 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_239,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( inverse(X4) != sk_c10 )
| ( multiply(X4,sk_c9) != sk_c10 )
| ( multiply(sk_c10,X5) != sk_c9 )
| ( multiply(X6,sk_c10) != X5 )
| ( inverse(X6) != sk_c10 )
| ( inverse(sk_c10) != sk_c9 )
| ( inverse(X1) != sk_c10 )
| ( multiply(X1,sk_c9) != sk_c10 )
| ( multiply(X3,X2) != sk_c10 )
| ( inverse(X3) != X2 )
| ( multiply(X2,sk_c9) != sk_c10 )
| ( inverse(X7) != X8 )
| ( inverse(X8) != X2 )
| ( multiply(X7,X2) != X8 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c10,sk_c3) = sk_c9 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c10,sk_c3) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c10,sk_c3) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c10,sk_c3) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c10,sk_c3) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c10,sk_c3) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
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_263884,plain,
! [X_1262,Y_1263,Z_1264] : ( multiply(multiply(X_1262,Y_1263),Z_1264) = multiply(X_1262,multiply(Y_1263,Z_1264)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_263926,plain,
! [X_2,Z_1264] : ( multiply(inverse(X_2),multiply(X_2,Z_1264)) = multiply(identity,Z_1264) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_263884]) ).
tff(c_263939,plain,
! [X_2,Z_1264] : ( multiply(inverse(X_2),multiply(X_2,Z_1264)) = Z_1264 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_263926]) ).
tff(c_442174,plain,
! [X_1803,Z_1804] : ( multiply(inverse(X_1803),multiply(X_1803,Z_1804)) = Z_1804 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_263926]) ).
tff(c_442493,plain,
! [X_1808,Z_1809] : ( multiply(inverse(inverse(X_1808)),Z_1809) = multiply(X_1808,Z_1809) ),
inference(superposition,[status(thm),theory(equality)],[c_263939,c_442174]) ).
tff(c_442252,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_442174]) ).
tff(c_442500,plain,
! [X_1808] : ( multiply(X_1808,identity) = X_1808 ),
inference(superposition,[status(thm),theory(equality)],[c_442493,c_442252]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_127,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_38,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_147,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_131,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_127,c_4]) ).
tff(c_18292,plain,
! [X_258,Y_259,Z_260] : ( multiply(multiply(X_258,Y_259),Z_260) = multiply(X_258,multiply(Y_259,Z_260)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18337,plain,
! [Z_260] : ( multiply(sk_c10,multiply(sk_c1,Z_260)) = multiply(identity,Z_260) ),
inference(superposition,[status(thm),theory(equality)],[c_131,c_18292]) ).
tff(c_18360,plain,
! [Z_261] : ( multiply(sk_c10,multiply(sk_c1,Z_261)) = Z_261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18337]) ).
tff(c_18372,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_147,c_18360]) ).
tff(c_64,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_161,plain,
multiply(sk_c2,sk_c10) = sk_c3,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_92,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_115,plain,
inverse(sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_119,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_115,c_4]) ).
tff(c_194,plain,
! [X_16,Y_17,Z_18] : ( multiply(multiply(X_16,Y_17),Z_18) = multiply(X_16,multiply(Y_17,Z_18)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_221,plain,
! [Z_18] : ( multiply(sk_c10,multiply(sk_c2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_119,c_194]) ).
tff(c_530,plain,
! [Z_26] : ( multiply(sk_c10,multiply(sk_c2,Z_26)) = Z_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_221]) ).
tff(c_542,plain,
multiply(sk_c10,sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_161,c_530]) ).
tff(c_44,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_152,plain,
multiply(sk_c10,sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_546,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_542,c_152]) ).
tff(c_237,plain,
! [Z_19] : ( multiply(sk_c10,multiply(sk_c2,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_221]) ).
tff(c_249,plain,
multiply(sk_c10,sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_161,c_237]) ).
tff(c_253,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_249,c_152]) ).
tff(c_276,plain,
multiply(sk_c1,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_253,c_147]) ).
tff(c_218,plain,
! [Z_18] : ( multiply(sk_c10,multiply(sk_c1,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_131,c_194]) ).
tff(c_288,plain,
! [Z_21] : ( multiply(sk_c10,multiply(sk_c1,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_218]) ).
tff(c_300,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_276,c_288]) ).
tff(c_224,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_194]) ).
tff(c_311,plain,
! [X_22,Z_23] : ( multiply(inverse(X_22),multiply(X_22,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_224]) ).
tff(c_329,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_300,c_311]) ).
tff(c_369,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_329]) ).
tff(c_98,plain,
! [X4_13,X3_8,X1_10,X7_9,X6_7] :
( ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(sk_c10) != sk_c9 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_236,plain,
inverse(sk_c10) != sk_c9,
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_275,plain,
inverse(sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_253,c_236]) ).
tff(c_384,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_369,c_369,c_275]) ).
tff(c_389,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_369,c_119]) ).
tff(c_234,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_224]) ).
tff(c_491,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_389,c_234]) ).
tff(c_503,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_491]) ).
tff(c_390,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_369,c_115]) ).
tff(c_508,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_503,c_390]) ).
tff(c_512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_384,c_508]) ).
tff(c_514,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_518,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_514,c_4]) ).
tff(c_554,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_546,c_518]) ).
tff(c_556,plain,
multiply(sk_c1,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_546,c_147]) ).
tff(c_8110,plain,
! [Z_121] : ( multiply(sk_c10,multiply(sk_c1,Z_121)) = Z_121 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_218]) ).
tff(c_8122,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_556,c_8110]) ).
tff(c_8126,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_554,c_8122]) ).
tff(c_8164,plain,
! [X_122,Z_123] : ( multiply(inverse(X_122),multiply(X_122,Z_123)) = Z_123 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_224]) ).
tff(c_8320,plain,
! [X_125,Z_126] : ( multiply(inverse(inverse(X_125)),Z_126) = multiply(X_125,Z_126) ),
inference(superposition,[status(thm),theory(equality)],[c_8164,c_234]) ).
tff(c_8191,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_8164]) ).
tff(c_8327,plain,
! [X_125] : ( multiply(X_125,identity) = X_125 ),
inference(superposition,[status(thm),theory(equality)],[c_8320,c_8191]) ).
tff(c_586,plain,
! [Z_27] : ( multiply(sk_c10,multiply(sk_c1,Z_27)) = Z_27 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_218]) ).
tff(c_598,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_556,c_586]) ).
tff(c_602,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_554,c_598]) ).
tff(c_555,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_546,c_514]) ).
tff(c_621,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_602,c_602,c_555]) ).
tff(c_662,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_224]) ).
tff(c_819,plain,
! [X_32,Z_33] : ( multiply(inverse(inverse(X_32)),Z_33) = multiply(X_32,Z_33) ),
inference(superposition,[status(thm),theory(equality)],[c_234,c_662]) ).
tff(c_692,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_662]) ).
tff(c_826,plain,
! [X_32] : ( multiply(X_32,identity) = X_32 ),
inference(superposition,[status(thm),theory(equality)],[c_819,c_692]) ).
tff(c_840,plain,
! [X_32] : ( multiply(X_32,inverse(X_32)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_819,c_4]) ).
tff(c_674,plain,
! [X_2,Z_18] : ( multiply(inverse(inverse(X_2)),Z_18) = multiply(X_2,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_234,c_662]) ).
tff(c_862,plain,
! [X_34] : ( multiply(X_34,identity) = X_34 ),
inference(superposition,[status(thm),theory(equality)],[c_819,c_692]) ).
tff(c_897,plain,
! [X_2] : ( inverse(inverse(X_2)) = multiply(X_2,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_674,c_862]) ).
tff(c_921,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_826,c_897]) ).
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_1082,plain,
! [X_39,Y_40,Z_41] : ( multiply(inverse(multiply(X_39,Y_40)),multiply(X_39,multiply(Y_40,Z_41))) = Z_41 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_662]) ).
tff(c_1130,plain,
! [X_39,X_32] : ( multiply(inverse(multiply(X_39,X_32)),multiply(X_39,identity)) = inverse(X_32) ),
inference(superposition,[status(thm),theory(equality)],[c_840,c_1082]) ).
tff(c_1585,plain,
! [X_50,X_51] : ( multiply(inverse(multiply(X_50,X_51)),X_50) = inverse(X_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_826,c_1130]) ).
tff(c_2209,plain,
! [Z_60,X_61] : ( multiply(inverse(Z_60),inverse(X_61)) = inverse(multiply(X_61,Z_60)) ),
inference(superposition,[status(thm),theory(equality)],[c_234,c_1585]) ).
tff(c_2293,plain,
! [X_61,X_2] : ( inverse(multiply(X_61,inverse(X_2))) = multiply(X_2,inverse(X_61)) ),
inference(superposition,[status(thm),theory(equality)],[c_921,c_2209]) ).
tff(c_513,plain,
! [X4_13,X3_8,X1_10,X7_9,X6_7] :
( ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_575,plain,
! [X4_13,X3_8,X1_10,X7_9,X6_7] :
( ( multiply(X4_13,sk_c10) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c10) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_546,c_546,c_546,c_546,c_513]) ).
tff(c_576,plain,
! [X7_9,X3_8] :
( ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c10) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_575]) ).
tff(c_8012,plain,
! [X3_117,X7_118] :
( ( multiply(X3_117,inverse(X7_118)) != inverse(X3_117) )
| ( multiply(X7_118,inverse(X3_117)) != inverse(X7_118) )
| ( inverse(X3_117) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_840,c_602,c_826,c_602,c_602,c_2293,c_576]) ).
tff(c_8052,plain,
! [X7_118] :
( ( inverse(identity) != inverse(X7_118) )
| ( multiply(X7_118,inverse(identity)) != inverse(X7_118) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_8012]) ).
tff(c_8070,plain,
! [X7_119] :
( ( inverse(X7_119) != identity )
| ( inverse(X7_119) != X7_119 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_621,c_826,c_621,c_621,c_8052]) ).
tff(c_8078,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_621,c_8070]) ).
tff(c_8085,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_621,c_8078]) ).
tff(c_8086,plain,
! [X1_10,X6_7,X4_13] :
( ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_575]) ).
tff(c_16340,plain,
! [X1_10,X6_7,X4_13] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( identity != X4_13 )
| ( inverse(X4_13) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8126,c_8327,c_8126,c_8126,c_8327,c_8126,c_8126,c_2,c_8126,c_8126,c_8126,c_8327,c_8126,c_8126,c_8086]) ).
tff(c_16342,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_16340]) ).
tff(c_8131,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8126,c_8126,c_555]) ).
tff(c_16344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16342,c_8131]) ).
tff(c_16345,plain,
! [X6_7,X1_10] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity ) ),
inference(splitRight,[status(thm)],[c_16340]) ).
tff(c_16347,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_16345]) ).
tff(c_16349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16347,c_8131]) ).
tff(c_16352,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_16345]) ).
tff(c_16354,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16352,c_8131]) ).
tff(c_16356,plain,
multiply(sk_c2,sk_c10) != sk_c3,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_62,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_16415,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_16356,c_62]) ).
tff(c_16419,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16415,c_4]) ).
tff(c_16456,plain,
! [X_216,Y_217,Z_218] : ( multiply(multiply(X_216,Y_217),Z_218) = multiply(X_216,multiply(Y_217,Z_218)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16483,plain,
! [Z_218] : ( multiply(sk_c9,multiply(sk_c10,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_16419,c_16456]) ).
tff(c_16749,plain,
! [Z_229] : ( multiply(sk_c9,multiply(sk_c10,Z_229)) = Z_229 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16483]) ).
tff(c_16782,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_131,c_16749]) ).
tff(c_16504,plain,
! [Z_218] : ( multiply(sk_c10,multiply(sk_c1,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_131,c_16456]) ).
tff(c_16527,plain,
! [Z_219] : ( multiply(sk_c10,multiply(sk_c1,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16504]) ).
tff(c_16539,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_147,c_16527]) ).
tff(c_16818,plain,
! [Z_230] : ( multiply(sk_c1,multiply(sk_c9,Z_230)) = multiply(sk_c10,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_147,c_16456]) ).
tff(c_16839,plain,
multiply(sk_c10,sk_c10) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_16419,c_16818]) ).
tff(c_16843,plain,
multiply(sk_c1,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_16539,c_16839]) ).
tff(c_16523,plain,
! [Z_218] : ( multiply(sk_c10,multiply(sk_c1,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16504]) ).
tff(c_16885,plain,
multiply(sk_c10,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16843,c_16523]) ).
tff(c_16518,plain,
! [Z_218] : ( multiply(sk_c9,multiply(sk_c10,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16483]) ).
tff(c_16927,plain,
multiply(sk_c9,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_16885,c_16518]) ).
tff(c_16933,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16782,c_16927]) ).
tff(c_16979,plain,
inverse(sk_c10) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16933,c_16415]) ).
tff(c_16990,plain,
multiply(sk_c1,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16979,c_4]) ).
tff(c_16785,plain,
multiply(sk_c9,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_119,c_16749]) ).
tff(c_16844,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16782,c_16785]) ).
tff(c_16858,plain,
multiply(sk_c1,sk_c10) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_16844,c_16356]) ).
tff(c_17160,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16990,c_16858]) ).
tff(c_72,plain,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_16428,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_16356,c_72]) ).
tff(c_68,plain,
( ( multiply(sk_c5,sk_c8) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_16437,plain,
multiply(sk_c5,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_16356,c_68]) ).
tff(c_16936,plain,
! [Z_233] : ( multiply(sk_c5,multiply(sk_c8,Z_233)) = multiply(sk_c10,Z_233) ),
inference(superposition,[status(thm),theory(equality)],[c_16437,c_16456]) ).
tff(c_16957,plain,
multiply(sk_c5,sk_c10) = multiply(sk_c10,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_16428,c_16936]) ).
tff(c_16967,plain,
multiply(sk_c5,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16885,c_16957]) ).
tff(c_16770,plain,
multiply(sk_c9,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_16539,c_16749]) ).
tff(c_17002,plain,
multiply(sk_c1,sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_16933,c_16933,c_16770]) ).
tff(c_74,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_16376,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16356,c_74]) ).
tff(c_16380,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16376,c_4]) ).
tff(c_76,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_16403,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16356,c_76]) ).
tff(c_16407,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16403,c_4]) ).
tff(c_16486,plain,
! [Z_218] : ( multiply(sk_c8,multiply(sk_c6,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_16407,c_16456]) ).
tff(c_16659,plain,
! [Z_225] : ( multiply(sk_c8,multiply(sk_c6,Z_225)) = Z_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16486]) ).
tff(c_16671,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16380,c_16659]) ).
tff(c_70,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_16368,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16356,c_70]) ).
tff(c_16510,plain,
! [X_2,Z_218] : ( multiply(inverse(X_2),multiply(X_2,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16456]) ).
tff(c_17025,plain,
! [X_234,Z_235] : ( multiply(inverse(X_234),multiply(X_234,Z_235)) = Z_235 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16510]) ).
tff(c_17049,plain,
multiply(inverse(sk_c5),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_16967,c_17025]) ).
tff(c_17118,plain,
sk_c7 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_16671,c_16368,c_17049]) ).
tff(c_17134,plain,
inverse(sk_c10) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17118,c_16376]) ).
tff(c_17135,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16979,c_17134]) ).
tff(c_78,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_16451,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16356,c_78]) ).
tff(c_16489,plain,
! [Z_218] : ( multiply(sk_c6,multiply(sk_c7,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_16380,c_16456]) ).
tff(c_16696,plain,
! [Z_227] : ( multiply(sk_c6,multiply(sk_c7,Z_227)) = Z_227 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16489]) ).
tff(c_16711,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16451,c_16696]) ).
tff(c_17141,plain,
multiply(sk_c1,sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_17135,c_17135,c_16711]) ).
tff(c_17145,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_17002,c_17141]) ).
tff(c_17152,plain,
multiply(sk_c5,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_17145,c_16437]) ).
tff(c_17155,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16967,c_17152]) ).
tff(c_17179,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17155,c_17118]) ).
tff(c_17178,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17155,c_17145]) ).
tff(c_16471,plain,
! [Z_218] : ( multiply(sk_c7,multiply(sk_c8,Z_218)) = multiply(sk_c6,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_16451,c_16456]) ).
tff(c_17198,plain,
! [Z_218] : ( multiply(sk_c1,Z_218) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17179,c_2,c_17178,c_17135,c_16471]) ).
tff(c_16970,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16933,c_16843]) ).
tff(c_17199,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17198,c_16970]) ).
tff(c_16980,plain,
multiply(sk_c10,sk_c3) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16933,c_152]) ).
tff(c_17350,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17199,c_2,c_17155,c_16980]) ).
tff(c_17351,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17160,c_17350]) ).
tff(c_17353,plain,
multiply(sk_c10,sk_c3) != sk_c9,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_58,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_17387,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17353,c_58]) ).
tff(c_17391,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17387,c_4]) ).
tff(c_60,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_17441,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_17353,c_60]) ).
tff(c_50,plain,
( ( multiply(sk_c5,sk_c8) = sk_c10 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_17435,plain,
multiply(sk_c5,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_17353,c_50]) ).
tff(c_52,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_17416,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17353,c_52]) ).
tff(c_17420,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17416,c_4]) ).
tff(c_17462,plain,
! [X_238,Y_239,Z_240] : ( multiply(multiply(X_238,Y_239),Z_240) = multiply(X_238,multiply(Y_239,Z_240)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17489,plain,
! [Z_240] : ( multiply(sk_c8,multiply(sk_c5,Z_240)) = multiply(identity,Z_240) ),
inference(superposition,[status(thm),theory(equality)],[c_17420,c_17462]) ).
tff(c_17740,plain,
! [Z_248] : ( multiply(sk_c8,multiply(sk_c5,Z_248)) = Z_248 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17489]) ).
tff(c_17752,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17435,c_17740]) ).
tff(c_17988,plain,
! [Z_254] : ( multiply(sk_c7,multiply(sk_c8,Z_254)) = multiply(sk_c6,Z_254) ),
inference(superposition,[status(thm),theory(equality)],[c_17441,c_17462]) ).
tff(c_18006,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_17752,c_17988]) ).
tff(c_18028,plain,
multiply(sk_c6,sk_c10) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17441,c_18006]) ).
tff(c_17495,plain,
! [Z_240] : ( multiply(sk_c8,multiply(sk_c6,Z_240)) = multiply(identity,Z_240) ),
inference(superposition,[status(thm),theory(equality)],[c_17391,c_17462]) ).
tff(c_17526,plain,
! [Z_240] : ( multiply(sk_c8,multiply(sk_c6,Z_240)) = Z_240 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17495]) ).
tff(c_18055,plain,
multiply(sk_c8,sk_c6) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_18028,c_17526]) ).
tff(c_18061,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17391,c_18055]) ).
tff(c_17510,plain,
! [Z_240] : ( multiply(sk_c10,multiply(sk_c1,Z_240)) = multiply(identity,Z_240) ),
inference(superposition,[status(thm),theory(equality)],[c_131,c_17462]) ).
tff(c_17533,plain,
! [Z_241] : ( multiply(sk_c10,multiply(sk_c1,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17510]) ).
tff(c_17545,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_147,c_17533]) ).
tff(c_18070,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_18061,c_18061,c_17545]) ).
tff(c_18082,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18070]) ).
tff(c_17382,plain,
multiply(sk_c2,sk_c10) = sk_c3,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_17513,plain,
! [Z_240] : ( multiply(sk_c10,multiply(sk_c2,Z_240)) = multiply(identity,Z_240) ),
inference(superposition,[status(thm),theory(equality)],[c_119,c_17462]) ).
tff(c_17556,plain,
! [Z_242] : ( multiply(sk_c10,multiply(sk_c2,Z_242)) = Z_242 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17513]) ).
tff(c_17568,plain,
multiply(sk_c10,sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_17382,c_17556]) ).
tff(c_17669,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_17568,c_17353]) ).
tff(c_18069,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_18061,c_17669]) ).
tff(c_18205,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18082,c_18069]) ).
tff(c_18207,plain,
multiply(sk_c2,sk_c10) != sk_c3,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_18233,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_18207,c_74]) ).
tff(c_18237,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18233,c_4]) ).
tff(c_18220,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17353,c_58]) ).
tff(c_18224,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18220,c_4]) ).
tff(c_18322,plain,
! [Z_260] : ( multiply(sk_c8,multiply(sk_c6,Z_260)) = multiply(identity,Z_260) ),
inference(superposition,[status(thm),theory(equality)],[c_18224,c_18292]) ).
tff(c_18605,plain,
! [Z_270] : ( multiply(sk_c8,multiply(sk_c6,Z_270)) = Z_270 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18322]) ).
tff(c_18623,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18237,c_18605]) ).
tff(c_17352,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_17357,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17352,c_4]) ).
tff(c_18272,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_18207,c_72]) ).
tff(c_20112,plain,
! [Z_293] : ( multiply(sk_c8,multiply(sk_c9,Z_293)) = multiply(sk_c10,Z_293) ),
inference(superposition,[status(thm),theory(equality)],[c_18272,c_18292]) ).
tff(c_20133,plain,
multiply(sk_c8,identity) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_17357,c_20112]) ).
tff(c_20137,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18372,c_18623,c_20133]) ).
tff(c_18331,plain,
! [Z_260] : ( multiply(sk_c9,multiply(sk_c10,Z_260)) = multiply(identity,Z_260) ),
inference(superposition,[status(thm),theory(equality)],[c_17357,c_18292]) ).
tff(c_19345,plain,
! [Z_283] : ( multiply(sk_c9,multiply(sk_c10,Z_283)) = Z_283 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18331]) ).
tff(c_19378,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_131,c_19345]) ).
tff(c_20139,plain,
multiply(sk_c7,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20137,c_19378]) ).
tff(c_18277,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_18207,c_78]) ).
tff(c_18319,plain,
! [Z_260] : ( multiply(sk_c6,multiply(sk_c7,Z_260)) = multiply(identity,Z_260) ),
inference(superposition,[status(thm),theory(equality)],[c_18237,c_18292]) ).
tff(c_18543,plain,
! [Z_268] : ( multiply(sk_c6,multiply(sk_c7,Z_268)) = Z_268 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18319]) ).
tff(c_18555,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18277,c_18543]) ).
tff(c_19385,plain,
! [Z_284] : ( multiply(sk_c7,multiply(sk_c8,Z_284)) = multiply(sk_c6,Z_284) ),
inference(superposition,[status(thm),theory(equality)],[c_18277,c_18292]) ).
tff(c_19412,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_18224,c_19385]) ).
tff(c_19419,plain,
multiply(sk_c7,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_18555,c_19412]) ).
tff(c_20172,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20139,c_19419]) ).
tff(c_20145,plain,
multiply(sk_c8,sk_c7) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_20137,c_18272]) ).
tff(c_20364,plain,
multiply(sk_c1,sk_c7) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_20172,c_20145]) ).
tff(c_19494,plain,
! [Z_285] : ( multiply(sk_c8,multiply(sk_c9,Z_285)) = multiply(sk_c10,Z_285) ),
inference(superposition,[status(thm),theory(equality)],[c_18272,c_18292]) ).
tff(c_19515,plain,
multiply(sk_c8,identity) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_17357,c_19494]) ).
tff(c_19519,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18372,c_18623,c_19515]) ).
tff(c_19521,plain,
multiply(sk_c7,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19519,c_19378]) ).
tff(c_19530,plain,
inverse(sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19519,c_17352]) ).
tff(c_18559,plain,
! [Z_269] : ( multiply(sk_c1,multiply(sk_c9,Z_269)) = multiply(sk_c10,Z_269) ),
inference(superposition,[status(thm),theory(equality)],[c_147,c_18292]) ).
tff(c_18574,plain,
multiply(sk_c10,sk_c10) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_17357,c_18559]) ).
tff(c_18578,plain,
multiply(sk_c1,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_18372,c_18574]) ).
tff(c_19524,plain,
multiply(sk_c1,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19519,c_18578]) ).
tff(c_18356,plain,
! [Z_260] : ( multiply(sk_c10,multiply(sk_c1,Z_260)) = Z_260 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18337]) ).
tff(c_19608,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19524,c_18356]) ).
tff(c_18343,plain,
! [X_2,Z_260] : ( multiply(inverse(X_2),multiply(X_2,Z_260)) = multiply(identity,Z_260) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18292]) ).
tff(c_18358,plain,
! [X_2,Z_260] : ( multiply(inverse(X_2),multiply(X_2,Z_260)) = Z_260 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18343]) ).
tff(c_19808,plain,
multiply(inverse(sk_c10),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19608,c_18358]) ).
tff(c_19814,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19521,c_19530,c_19808]) ).
tff(c_19864,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19814,c_18233]) ).
tff(c_19866,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_19864]) ).
tff(c_19543,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19521,c_19419]) ).
tff(c_19562,plain,
multiply(sk_c1,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19543,c_18224]) ).
tff(c_19654,plain,
multiply(sk_c10,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_19562,c_18356]) ).
tff(c_19936,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_19866,c_19654]) ).
tff(c_18206,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_18211,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18206,c_4]) ).
tff(c_19564,plain,
multiply(sk_c1,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19543,c_18211]) ).
tff(c_19754,plain,
multiply(sk_c10,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_19564,c_18356]) ).
tff(c_19984,plain,
sk_c5 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_19936,c_19754]) ).
tff(c_18265,plain,
multiply(sk_c5,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_17353,c_50]) ).
tff(c_19561,plain,
multiply(sk_c5,sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_19543,c_18265]) ).
tff(c_19987,plain,
multiply(sk_c10,sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_19984,c_19561]) ).
tff(c_19991,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131,c_19987]) ).
tff(c_19560,plain,
multiply(sk_c7,sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19543,c_18277]) ).
tff(c_18351,plain,
! [Z_260] : ( multiply(sk_c6,multiply(sk_c7,Z_260)) = Z_260 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18319]) ).
tff(c_19770,plain,
multiply(sk_c6,sk_c6) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_19560,c_18351]) ).
tff(c_19971,plain,
multiply(sk_c10,sk_c10) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19866,c_19866,c_19770]) ).
tff(c_20034,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19991,c_19991,c_19971]) ).
tff(c_20044,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20034]) ).
tff(c_18838,plain,
! [Z_276] : ( multiply(sk_c8,multiply(sk_c9,Z_276)) = multiply(sk_c10,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_18272,c_18292]) ).
tff(c_18859,plain,
multiply(sk_c8,identity) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_17357,c_18838]) ).
tff(c_18863,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18623,c_18372,c_18859]) ).
tff(c_18660,plain,
! [Z_272] : ( multiply(sk_c9,multiply(sk_c10,Z_272)) = Z_272 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18331]) ).
tff(c_18693,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_131,c_18660]) ).
tff(c_18866,plain,
multiply(sk_c7,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_18863,c_18693]) ).
tff(c_18875,plain,
inverse(sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18863,c_17352]) ).
tff(c_18700,plain,
! [Z_273] : ( multiply(sk_c7,multiply(sk_c8,Z_273)) = multiply(sk_c6,Z_273) ),
inference(superposition,[status(thm),theory(equality)],[c_18277,c_18292]) ).
tff(c_18727,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_18224,c_18700]) ).
tff(c_18734,plain,
multiply(sk_c7,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_18555,c_18727]) ).
tff(c_18888,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_18866,c_18734]) ).
tff(c_18908,plain,
inverse(sk_c6) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_18888,c_18220]) ).
tff(c_18922,plain,
! [X_277,Z_278] : ( multiply(inverse(X_277),multiply(X_277,Z_278)) = Z_278 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18343]) ).
tff(c_18958,plain,
multiply(inverse(sk_c6),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18237,c_18922]) ).
tff(c_18980,plain,
multiply(sk_c1,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18908,c_18958]) ).
tff(c_19127,plain,
multiply(inverse(sk_c1),sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18980,c_18358]) ).
tff(c_19136,plain,
multiply(sk_c10,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_19127]) ).
tff(c_19157,plain,
multiply(inverse(sk_c10),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19136,c_18358]) ).
tff(c_19163,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_18866,c_18875,c_19157]) ).
tff(c_19213,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19163,c_18233]) ).
tff(c_19215,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_19213]) ).
tff(c_18904,plain,
multiply(sk_c6,sk_c6) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_18888,c_18555]) ).
tff(c_19145,plain,
multiply(inverse(sk_c6),sk_c1) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18904,c_18358]) ).
tff(c_19151,plain,
multiply(sk_c1,sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18908,c_19145]) ).
tff(c_19263,plain,
multiply(sk_c1,sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_19215,c_19151]) ).
tff(c_19209,plain,
inverse(sk_c10) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19163,c_18875]) ).
tff(c_46,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_17370,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_17353,c_46]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_18260,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_17353,c_48]) ).
tff(c_18377,plain,
! [X4_13,X3_8,X1_10,X7_9,X6_7] :
( ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17352,c_98]) ).
tff(c_18491,plain,
! [X4_266] :
( ( multiply(X4_266,sk_c9) != sk_c10 )
| ( inverse(X4_266) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_18377]) ).
tff(c_18504,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_18260,c_18491]) ).
tff(c_18521,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17370,c_18504]) ).
tff(c_18522,plain,
! [X6_7,X1_10,X7_9,X3_8] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_18377]) ).
tff(c_18793,plain,
! [X7_274,X3_275] :
( ( inverse(multiply(X7_274,inverse(X3_275))) != inverse(X3_275) )
| ( multiply(X7_274,inverse(X3_275)) != inverse(X7_274) )
| ( multiply(inverse(X3_275),sk_c9) != sk_c10 )
| ( multiply(X3_275,inverse(X3_275)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_18522]) ).
tff(c_18802,plain,
! [X7_274] :
( ( inverse(multiply(X7_274,sk_c8)) != inverse(sk_c5) )
| ( multiply(X7_274,inverse(sk_c5)) != inverse(X7_274) )
| ( multiply(inverse(sk_c5),sk_c9) != sk_c10 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_18206,c_18793]) ).
tff(c_18818,plain,
! [X7_274] :
( ( inverse(multiply(X7_274,sk_c8)) != sk_c8 )
| ( multiply(X7_274,sk_c8) != inverse(X7_274) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18265,c_18206,c_18272,c_18206,c_18206,c_18206,c_18802]) ).
tff(c_19295,plain,
! [X7_281] :
( ( inverse(multiply(X7_281,sk_c1)) != sk_c1 )
| ( multiply(X7_281,sk_c1) != inverse(X7_281) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18888,c_18888,c_18888,c_18818]) ).
tff(c_19298,plain,
( ( inverse(sk_c10) != sk_c1 )
| ( multiply(sk_c1,sk_c1) != inverse(sk_c1) ) ),
inference(superposition,[status(thm),theory(equality)],[c_19263,c_19295]) ).
tff(c_19319,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19263,c_127,c_19209,c_19298]) ).
tff(c_19320,plain,
! [X1_10,X6_7] :
( ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_18522]) ).
tff(c_19478,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_19320]) ).
tff(c_19578,plain,
! [X6_286] :
( ( inverse(X6_286) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_286,sk_c10)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19519,c_19478]) ).
tff(c_19582,plain,
( ( inverse(sk_c1) != sk_c10 )
| ( sk_c7 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_18356,c_19578]) ).
tff(c_19596,plain,
sk_c7 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_19582]) ).
tff(c_19857,plain,
sk_c10 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19814,c_19596]) ).
tff(c_20039,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_19991,c_19857]) ).
tff(c_20106,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20044,c_20039]) ).
tff(c_20107,plain,
! [X1_10] :
( ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_19320]) ).
tff(c_20199,plain,
! [X1_10] :
( ( multiply(X1_10,sk_c7) != sk_c10 )
| ( inverse(X1_10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20137,c_20107]) ).
tff(c_20371,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_20364,c_20199]) ).
tff(c_20384,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_20371]) ).
tff(c_20386,plain,
multiply(sk_c1,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_20449,plain,
multiply(sk_c2,sk_c10) = sk_c3,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_20500,plain,
! [X_297,Y_298,Z_299] : ( multiply(multiply(X_297,Y_298),Z_299) = multiply(X_297,multiply(Y_298,Z_299)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_20551,plain,
! [Z_299] : ( multiply(sk_c10,multiply(sk_c2,Z_299)) = multiply(identity,Z_299) ),
inference(superposition,[status(thm),theory(equality)],[c_119,c_20500]) ).
tff(c_20584,plain,
! [Z_301] : ( multiply(sk_c10,multiply(sk_c2,Z_301)) = Z_301 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20551]) ).
tff(c_20596,plain,
multiply(sk_c10,sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_20449,c_20584]) ).
tff(c_20394,plain,
multiply(sk_c10,sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_20600,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_20596,c_20394]) ).
tff(c_26,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_20457,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_20386,c_26]) ).
tff(c_20611,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_20600,c_20457]) ).
tff(c_20625,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20611,c_4]) ).
tff(c_28,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_20421,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_20386,c_28]) ).
tff(c_30,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_20494,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_20386,c_30]) ).
tff(c_20608,plain,
multiply(sk_c4,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_20600,c_20494]) ).
tff(c_20554,plain,
! [X_2,Z_299] : ( multiply(inverse(X_2),multiply(X_2,Z_299)) = multiply(identity,Z_299) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20500]) ).
tff(c_20653,plain,
! [X_302,Z_303] : ( multiply(inverse(X_302),multiply(X_302,Z_303)) = Z_303 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20554]) ).
tff(c_20671,plain,
multiply(inverse(sk_c4),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_20608,c_20653]) ).
tff(c_20747,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20625,c_20421,c_20671]) ).
tff(c_20728,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_131,c_20653]) ).
tff(c_20757,plain,
multiply(sk_c10,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20611,c_20728]) ).
tff(c_20993,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20747,c_20757]) ).
tff(c_20612,plain,
multiply(sk_c1,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_20600,c_20386]) ).
tff(c_20781,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_20747,c_20747,c_20612]) ).
tff(c_21006,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20993,c_20781]) ).
tff(c_21007,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_21012,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21007,c_4]) ).
tff(c_21062,plain,
! [X_306,Y_307,Z_308] : ( multiply(multiply(X_306,Y_307),Z_308) = multiply(X_306,multiply(Y_307,Z_308)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21089,plain,
! [Z_308] : ( multiply(sk_c9,multiply(sk_c10,Z_308)) = multiply(identity,Z_308) ),
inference(superposition,[status(thm),theory(equality)],[c_21012,c_21062]) ).
tff(c_21363,plain,
! [Z_319] : ( multiply(sk_c9,multiply(sk_c10,Z_319)) = Z_319 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21089]) ).
tff(c_21396,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_131,c_21363]) ).
tff(c_20425,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20421,c_4]) ).
tff(c_21390,plain,
multiply(sk_c9,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_20425,c_21363]) ).
tff(c_21471,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21396,c_21390]) ).
tff(c_21008,plain,
multiply(sk_c2,sk_c10) != sk_c3,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_66,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_21049,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_21008,c_66]) ).
tff(c_21481,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_21471,c_21049]) ).
tff(c_21486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20386,c_21481]) ).
tff(c_21487,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_21492,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21487,c_4]) ).
tff(c_21599,plain,
! [X_321,Y_322,Z_323] : ( multiply(multiply(X_321,Y_322),Z_323) = multiply(X_321,multiply(Y_322,Z_323)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21638,plain,
! [Z_323] : ( multiply(sk_c9,multiply(sk_c10,Z_323)) = multiply(identity,Z_323) ),
inference(superposition,[status(thm),theory(equality)],[c_21492,c_21599]) ).
tff(c_21944,plain,
! [Z_334] : ( multiply(sk_c9,multiply(sk_c10,Z_334)) = Z_334 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21638]) ).
tff(c_21974,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_131,c_21944]) ).
tff(c_21530,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_20386,c_28]) ).
tff(c_21534,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21530,c_4]) ).
tff(c_21971,plain,
multiply(sk_c9,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_21534,c_21944]) ).
tff(c_22050,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21974,c_21971]) ).
tff(c_21589,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_20386,c_30]) ).
tff(c_22052,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_22050,c_21589]) ).
tff(c_22057,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20386,c_22052]) ).
tff(c_22059,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_8,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_22071,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_22059,c_8]) ).
tff(c_22075,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22071,c_4]) ).
tff(c_18,plain,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_22149,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_22059,c_18]) ).
tff(c_14,plain,
( ( multiply(sk_c5,sk_c8) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_22156,plain,
multiply(sk_c5,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_22059,c_14]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_22087,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_22059,c_16]) ).
tff(c_22091,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22087,c_4]) ).
tff(c_22174,plain,
! [X_336,Y_337,Z_338] : ( multiply(multiply(X_336,Y_337),Z_338) = multiply(X_336,multiply(Y_337,Z_338)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_22207,plain,
! [Z_338] : ( multiply(sk_c8,multiply(sk_c5,Z_338)) = multiply(identity,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_22091,c_22174]) ).
tff(c_22456,plain,
! [Z_345] : ( multiply(sk_c8,multiply(sk_c5,Z_345)) = Z_345 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22207]) ).
tff(c_22468,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_22156,c_22456]) ).
tff(c_22210,plain,
! [Z_338] : ( multiply(sk_c9,multiply(sk_c10,Z_338)) = multiply(identity,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_22075,c_22174]) ).
tff(c_22258,plain,
! [Z_340] : ( multiply(sk_c9,multiply(sk_c10,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22210]) ).
tff(c_22273,plain,
multiply(sk_c9,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_119,c_22258]) ).
tff(c_22058,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_22063,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22058,c_4]) ).
tff(c_22270,plain,
multiply(sk_c9,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_22063,c_22258]) ).
tff(c_22364,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_22273,c_22270]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_22133,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_22059,c_12]) ).
tff(c_22373,plain,
multiply(sk_c2,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_22364,c_22133]) ).
tff(c_22213,plain,
! [Z_338] : ( multiply(sk_c10,multiply(sk_c4,Z_338)) = multiply(identity,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_22063,c_22174]) ).
tff(c_22231,plain,
! [Z_338] : ( multiply(sk_c10,multiply(sk_c4,Z_338)) = Z_338 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22213]) ).
tff(c_22414,plain,
! [Z_344] : ( multiply(sk_c10,multiply(sk_c2,Z_344)) = Z_344 ),
inference(demodulation,[status(thm),theory(equality)],[c_22364,c_22231]) ).
tff(c_22429,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_22373,c_22414]) ).
tff(c_22230,plain,
! [Z_338] : ( multiply(sk_c9,multiply(sk_c10,Z_338)) = Z_338 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22210]) ).
tff(c_22439,plain,
multiply(sk_c9,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_22429,c_22230]) ).
tff(c_46215,plain,
! [Z_523] : ( multiply(sk_c8,multiply(sk_c9,Z_523)) = multiply(sk_c10,Z_523) ),
inference(superposition,[status(thm),theory(equality)],[c_22149,c_22174]) ).
tff(c_46227,plain,
multiply(sk_c8,sk_c10) = multiply(sk_c10,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_22439,c_46215]) ).
tff(c_46240,plain,
multiply(sk_c10,sk_c9) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22468,c_46227]) ).
tff(c_46253,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_46240,c_22230]) ).
tff(c_22192,plain,
! [Z_338] : ( multiply(sk_c8,multiply(sk_c9,Z_338)) = multiply(sk_c10,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_22149,c_22174]) ).
tff(c_46263,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c10,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_46253,c_22192]) ).
tff(c_46272,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_22149,c_46263]) ).
tff(c_46278,plain,
multiply(sk_c9,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_46272,c_22230]) ).
tff(c_46284,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22075,c_46278]) ).
tff(c_22,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_22095,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_22059,c_22]) ).
tff(c_46299,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46284,c_22095]) ).
tff(c_46516,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46299,c_4]) ).
tff(c_46526,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_46516,c_2]) ).
tff(c_46535,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46526,c_46299]) ).
tff(c_46236,plain,
multiply(sk_c8,identity) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_22075,c_46215]) ).
tff(c_46241,plain,
multiply(sk_c8,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_22429,c_46236]) ).
tff(c_46289,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_46284,c_46241]) ).
tff(c_46302,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46289]) ).
tff(c_46287,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_46284,c_46253]) ).
tff(c_46301,plain,
sk_c9 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_22273,c_46287]) ).
tff(c_46481,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46302,c_46301]) ).
tff(c_46503,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46481,c_115]) ).
tff(c_46606,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46535,c_46503]) ).
tff(c_46320,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46302,c_46301]) ).
tff(c_46315,plain,
inverse(sk_c10) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_46301,c_22071]) ).
tff(c_46359,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46320,c_46315]) ).
tff(c_46363,plain,
multiply(identity,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46359,c_4]) ).
tff(c_46439,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_46363,c_2]) ).
tff(c_22195,plain,
! [Z_338] : ( multiply(sk_c4,multiply(sk_c9,Z_338)) = multiply(sk_c10,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_22133,c_22174]) ).
tff(c_22382,plain,
! [Z_338] : ( multiply(sk_c2,multiply(sk_c9,Z_338)) = multiply(sk_c10,Z_338) ),
inference(demodulation,[status(thm),theory(equality)],[c_22364,c_22195]) ).
tff(c_46266,plain,
multiply(sk_c2,sk_c9) = multiply(sk_c10,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_46253,c_22382]) ).
tff(c_46273,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_22373,c_46266]) ).
tff(c_46404,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46284,c_46273]) ).
tff(c_46328,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46320,c_115]) ).
tff(c_22219,plain,
! [X_2,Z_338] : ( multiply(inverse(X_2),multiply(X_2,Z_338)) = multiply(identity,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22174]) ).
tff(c_22685,plain,
! [X_350,Z_351] : ( multiply(inverse(X_350),multiply(X_350,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22219]) ).
tff(c_22742,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_22468,c_22685]) ).
tff(c_22805,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22742]) ).
tff(c_20,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_22111,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_22059,c_20]) ).
tff(c_22115,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22111,c_4]) ).
tff(c_22099,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22095,c_4]) ).
tff(c_22204,plain,
! [Z_338] : ( multiply(sk_c8,multiply(sk_c6,Z_338)) = multiply(identity,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_22099,c_22174]) ).
tff(c_22481,plain,
! [Z_346] : ( multiply(sk_c8,multiply(sk_c6,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22204]) ).
tff(c_22499,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22115,c_22481]) ).
tff(c_22503,plain,
! [Z_347] : ( multiply(sk_c8,multiply(sk_c9,Z_347)) = multiply(sk_c10,Z_347) ),
inference(superposition,[status(thm),theory(equality)],[c_22149,c_22174]) ).
tff(c_22524,plain,
multiply(sk_c8,identity) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_22075,c_22503]) ).
tff(c_22529,plain,
multiply(sk_c8,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_22429,c_22524]) ).
tff(c_22545,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22499,c_22529]) ).
tff(c_22548,plain,
multiply(sk_c10,sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22545,c_22429]) ).
tff(c_22824,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22805,c_22805,c_22548]) ).
tff(c_22833,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22824]) ).
tff(c_22826,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22805,c_22468]) ).
tff(c_22834,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22499,c_22826]) ).
tff(c_22852,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22833,c_22834]) ).
tff(c_24,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_22119,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_22059,c_24]) ).
tff(c_22198,plain,
! [Z_338] : ( multiply(sk_c6,multiply(sk_c7,Z_338)) = multiply(identity,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_22115,c_22174]) ).
tff(c_22235,plain,
! [Z_339] : ( multiply(sk_c6,multiply(sk_c7,Z_339)) = Z_339 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22198]) ).
tff(c_22247,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_22119,c_22235]) ).
tff(c_22493,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22247,c_22481]) ).
tff(c_22853,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_22852,c_22852,c_22493]) ).
tff(c_22861,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22853]) ).
tff(c_22859,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22852,c_22095]) ).
tff(c_22960,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22861,c_22859]) ).
tff(c_22233,plain,
! [X_2,Z_338] : ( multiply(inverse(X_2),multiply(X_2,Z_338)) = Z_338 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22219]) ).
tff(c_23010,plain,
! [X_354,Z_355] : ( multiply(inverse(inverse(X_354)),Z_355) = multiply(X_354,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_22685,c_22233]) ).
tff(c_22790,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22685]) ).
tff(c_23017,plain,
! [X_354] : ( multiply(X_354,identity) = X_354 ),
inference(superposition,[status(thm),theory(equality)],[c_23010,c_22790]) ).
tff(c_23031,plain,
! [X_354] : ( multiply(X_354,inverse(X_354)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_23010,c_4]) ).
tff(c_23053,plain,
! [X_356] : ( multiply(X_356,identity) = X_356 ),
inference(superposition,[status(thm),theory(equality)],[c_23010,c_22790]) ).
tff(c_22688,plain,
! [X_350,Z_351] : ( multiply(inverse(inverse(X_350)),Z_351) = multiply(X_350,Z_351) ),
inference(superposition,[status(thm),theory(equality)],[c_22685,c_22233]) ).
tff(c_23060,plain,
! [X_350] : ( inverse(inverse(X_350)) = multiply(X_350,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_23053,c_22688]) ).
tff(c_23105,plain,
! [X_350] : ( inverse(inverse(X_350)) = X_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_23017,c_23060]) ).
tff(c_23203,plain,
! [X_359,Y_360,Z_361] : ( multiply(inverse(multiply(X_359,Y_360)),multiply(X_359,multiply(Y_360,Z_361))) = Z_361 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_22685]) ).
tff(c_23239,plain,
! [X_359,X_354] : ( multiply(inverse(multiply(X_359,X_354)),multiply(X_359,identity)) = inverse(X_354) ),
inference(superposition,[status(thm),theory(equality)],[c_23031,c_23203]) ).
tff(c_23671,plain,
! [X_370,X_371] : ( multiply(inverse(multiply(X_370,X_371)),X_370) = inverse(X_371) ),
inference(demodulation,[status(thm),theory(equality)],[c_23017,c_23239]) ).
tff(c_24040,plain,
! [Z_376,X_377] : ( multiply(inverse(Z_376),inverse(X_377)) = inverse(multiply(X_377,Z_376)) ),
inference(superposition,[status(thm),theory(equality)],[c_22233,c_23671]) ).
tff(c_24126,plain,
! [X_377,X_350] : ( inverse(multiply(X_377,inverse(X_350))) = multiply(X_350,inverse(X_377)) ),
inference(superposition,[status(thm),theory(equality)],[c_23105,c_24040]) ).
tff(c_22288,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_22273,c_22270]) ).
tff(c_22297,plain,
multiply(sk_c2,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_22288,c_22133]) ).
tff(c_22278,plain,
! [X4_13,X3_8,X1_10,X7_9,X6_7] :
( ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22071,c_98]) ).
tff(c_22332,plain,
! [X4_342] :
( ( multiply(X4_342,sk_c9) != sk_c10 )
| ( inverse(X4_342) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_22278]) ).
tff(c_22335,plain,
inverse(sk_c2) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_22297,c_22332]) ).
tff(c_22354,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_115,c_22335]) ).
tff(c_22355,plain,
! [X6_7,X1_10,X7_9,X3_8] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_22278]) ).
tff(c_22472,plain,
! [X7_9,X3_8] :
( ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_22355]) ).
tff(c_22574,plain,
! [X7_9,X3_8] :
( ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c7) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22545,c_22472]) ).
tff(c_22823,plain,
! [X7_9,X3_8] :
( ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c7) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22805,c_22805,c_22574]) ).
tff(c_46091,plain,
! [X3_520,X7_521] :
( ( multiply(X3_520,inverse(X7_521)) != inverse(X3_520) )
| ( multiply(X7_521,inverse(X3_520)) != inverse(X7_521) )
| ( inverse(X3_520) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23031,c_23017,c_22833,c_24126,c_22823]) ).
tff(c_46157,plain,
! [X7_521] :
( ( inverse(identity) != inverse(X7_521) )
| ( multiply(X7_521,inverse(identity)) != inverse(X7_521) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_46091]) ).
tff(c_46184,plain,
! [X7_522] :
( ( inverse(X7_522) != identity )
| ( inverse(X7_522) != X7_522 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22960,c_23017,c_22960,c_22960,c_46157]) ).
tff(c_46196,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_22960,c_46184]) ).
tff(c_46205,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22960,c_46196]) ).
tff(c_46206,plain,
! [X1_10,X6_7] :
( ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_22355]) ).
tff(c_46307,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_46206]) ).
tff(c_46381,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46302,c_46307]) ).
tff(c_46433,plain,
( ( inverse(identity) != sk_c10 )
| ( multiply(sk_c10,identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_46363,c_46381]) ).
tff(c_46446,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_46404,c_46328,c_46433]) ).
tff(c_46467,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46439,c_46446]) ).
tff(c_46468,plain,
! [X1_10] :
( ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_46206]) ).
tff(c_46487,plain,
! [X1_526] :
( ( multiply(X1_526,identity) != sk_c10 )
| ( inverse(X1_526) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46302,c_46468]) ).
tff(c_46499,plain,
( ( sk_c10 != identity )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_46487]) ).
tff(c_46754,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46606,c_46535,c_46606,c_46499]) ).
tff(c_46756,plain,
inverse(sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_88,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_263797,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_46756,c_88]) ).
tff(c_86,plain,
( ( multiply(sk_c5,sk_c8) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_263835,plain,
multiply(sk_c5,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_46756,c_86]) ).
tff(c_442225,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_263835,c_442174]) ).
tff(c_442267,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_263797,c_442225]) ).
tff(c_442275,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_442267,c_263939]) ).
tff(c_442281,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_442275]) ).
tff(c_46883,plain,
! [X_531,Y_532,Z_533] : ( multiply(multiply(X_531,Y_532),Z_533) = multiply(X_531,multiply(Y_532,Z_533)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_46928,plain,
! [X_2,Z_533] : ( multiply(inverse(X_2),multiply(X_2,Z_533)) = multiply(identity,Z_533) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_46883]) ).
tff(c_242140,plain,
! [X_1097,Z_1098] : ( multiply(inverse(X_1097),multiply(X_1097,Z_1098)) = Z_1098 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46928]) ).
tff(c_46942,plain,
! [X_2,Z_533] : ( multiply(inverse(X_2),multiply(X_2,Z_533)) = Z_533 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46928]) ).
tff(c_242330,plain,
! [X_1100,Z_1101] : ( multiply(inverse(inverse(X_1100)),Z_1101) = multiply(X_1100,Z_1101) ),
inference(superposition,[status(thm),theory(equality)],[c_242140,c_46942]) ).
tff(c_242191,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_242140]) ).
tff(c_242337,plain,
! [X_1100] : ( multiply(X_1100,identity) = X_1100 ),
inference(superposition,[status(thm),theory(equality)],[c_242330,c_242191]) ).
tff(c_80,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_46819,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_46756,c_80]) ).
tff(c_46823,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46819,c_4]) ).
tff(c_46841,plain,
multiply(sk_c5,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_46756,c_86]) ).
tff(c_46794,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_46756,c_88]) ).
tff(c_46798,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46794,c_4]) ).
tff(c_46916,plain,
! [Z_533] : ( multiply(sk_c8,multiply(sk_c5,Z_533)) = multiply(identity,Z_533) ),
inference(superposition,[status(thm),theory(equality)],[c_46798,c_46883]) ).
tff(c_47093,plain,
! [Z_538] : ( multiply(sk_c8,multiply(sk_c5,Z_538)) = Z_538 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46916]) ).
tff(c_47111,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_46841,c_47093]) ).
tff(c_46904,plain,
! [Z_533] : ( multiply(sk_c5,multiply(sk_c8,Z_533)) = multiply(sk_c10,Z_533) ),
inference(superposition,[status(thm),theory(equality)],[c_46841,c_46883]) ).
tff(c_47118,plain,
multiply(sk_c5,sk_c8) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_47111,c_46904]) ).
tff(c_47124,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46841,c_47118]) ).
tff(c_46910,plain,
! [Z_533] : ( multiply(sk_c9,multiply(sk_c10,Z_533)) = multiply(identity,Z_533) ),
inference(superposition,[status(thm),theory(equality)],[c_46823,c_46883]) ).
tff(c_46936,plain,
! [Z_533] : ( multiply(sk_c9,multiply(sk_c10,Z_533)) = Z_533 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46910]) ).
tff(c_47129,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_47124,c_46936]) ).
tff(c_47135,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46823,c_47129]) ).
tff(c_47145,plain,
inverse(identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_47135,c_46819]) ).
tff(c_47159,plain,
multiply(sk_c9,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47145,c_4]) ).
tff(c_46764,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_46768,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46764,c_4]) ).
tff(c_46944,plain,
! [Z_534] : ( multiply(sk_c9,multiply(sk_c10,Z_534)) = Z_534 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46910]) ).
tff(c_46959,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_46768,c_46944]) ).
tff(c_242097,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47159,c_46959]) ).
tff(c_47147,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47135,c_46764]) ).
tff(c_242106,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_242097,c_47147]) ).
tff(c_242116,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_242106,c_47145]) ).
tff(c_47180,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47159,c_46959]) ).
tff(c_47189,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47180,c_47147]) ).
tff(c_47226,plain,
! [X_539,Z_540] : ( multiply(inverse(X_539),multiply(X_539,Z_540)) = Z_540 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46928]) ).
tff(c_47549,plain,
! [X_543,Z_544] : ( multiply(inverse(inverse(X_543)),Z_544) = multiply(X_543,Z_544) ),
inference(superposition,[status(thm),theory(equality)],[c_47226,c_46942]) ).
tff(c_47280,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47226]) ).
tff(c_47556,plain,
! [X_543] : ( multiply(X_543,identity) = X_543 ),
inference(superposition,[status(thm),theory(equality)],[c_47549,c_47280]) ).
tff(c_47570,plain,
! [X_543] : ( multiply(X_543,inverse(X_543)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_47549,c_4]) ).
tff(c_47199,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47189,c_47145]) ).
tff(c_47742,plain,
! [X_548,Y_549,Z_550] : ( multiply(inverse(multiply(X_548,Y_549)),multiply(X_548,multiply(Y_549,Z_550))) = Z_550 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_47226]) ).
tff(c_47809,plain,
! [X_548,X_2] : ( multiply(inverse(multiply(X_548,inverse(X_2))),multiply(X_548,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47742]) ).
tff(c_47839,plain,
! [X_548,X_2] : ( multiply(inverse(multiply(X_548,inverse(X_2))),X_548) = X_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_47556,c_47809]) ).
tff(c_47229,plain,
! [X_539,Z_540] : ( multiply(inverse(inverse(X_539)),Z_540) = multiply(X_539,Z_540) ),
inference(superposition,[status(thm),theory(equality)],[c_47226,c_46942]) ).
tff(c_47592,plain,
! [X_545] : ( multiply(X_545,identity) = X_545 ),
inference(superposition,[status(thm),theory(equality)],[c_47549,c_47280]) ).
tff(c_47627,plain,
! [X_539] : ( inverse(inverse(X_539)) = multiply(X_539,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_47229,c_47592]) ).
tff(c_47651,plain,
! [X_539] : ( inverse(inverse(X_539)) = X_539 ),
inference(demodulation,[status(thm),theory(equality)],[c_47556,c_47627]) ).
tff(c_47937,plain,
! [X_553,X_554] : ( multiply(inverse(multiply(X_553,inverse(X_554))),X_553) = X_554 ),
inference(demodulation,[status(thm),theory(equality)],[c_47556,c_47809]) ).
tff(c_47580,plain,
! [X_543,Z_533] : ( multiply(X_543,multiply(inverse(X_543),Z_533)) = Z_533 ),
inference(superposition,[status(thm),theory(equality)],[c_46942,c_47549]) ).
tff(c_48010,plain,
! [X_555,X_556] : ( multiply(multiply(X_555,inverse(X_556)),X_556) = X_555 ),
inference(superposition,[status(thm),theory(equality)],[c_47937,c_47580]) ).
tff(c_48101,plain,
! [X_557,X_558] : ( multiply(multiply(X_557,X_558),inverse(X_558)) = X_557 ),
inference(superposition,[status(thm),theory(equality)],[c_47651,c_48010]) ).
tff(c_48140,plain,
! [X_548,X_2] : ( inverse(multiply(X_548,inverse(X_2))) = multiply(X_2,inverse(X_548)) ),
inference(superposition,[status(thm),theory(equality)],[c_47839,c_48101]) ).
tff(c_82,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_46782,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_46756,c_82]) ).
tff(c_46786,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46782,c_4]) ).
tff(c_46956,plain,
multiply(sk_c9,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_46786,c_46944]) ).
tff(c_46974,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_46959,c_46956]) ).
tff(c_84,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_46832,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_46756,c_84]) ).
tff(c_46983,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46974,c_46832]) ).
tff(c_46972,plain,
! [X4_13,X3_8,X1_10,X7_9,X6_7] :
( ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46819,c_98]) ).
tff(c_47022,plain,
! [X4_536] :
( ( multiply(X4_536,sk_c9) != sk_c10 )
| ( inverse(X4_536) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_46972]) ).
tff(c_47025,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_46983,c_47022]) ).
tff(c_47044,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46764,c_47025]) ).
tff(c_47045,plain,
! [X6_7,X1_10,X7_9,X3_8] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_46972]) ).
tff(c_47163,plain,
! [X6_7,X1_10,X7_9,X3_8] :
( ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != sk_c9 )
| ( multiply(X1_10,sk_c9) != identity )
| ( inverse(X1_10) != identity )
| ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c9) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47135,c_47135,c_47135,c_47135,c_47135,c_2,c_47135,c_47135,c_47045]) ).
tff(c_47164,plain,
! [X7_9,X3_8] :
( ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c9) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity ) ),
inference(splitLeft,[status(thm)],[c_47163]) ).
tff(c_241896,plain,
! [X3_1094,X7_1095] :
( ( multiply(X3_1094,inverse(X7_1095)) != inverse(X3_1094) )
| ( multiply(X7_1095,inverse(X3_1094)) != inverse(X7_1095) )
| ( inverse(X3_1094) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47570,c_47556,c_47199,c_48140,c_47164]) ).
tff(c_242010,plain,
! [X7_1095] :
( ( inverse(identity) != inverse(X7_1095) )
| ( multiply(X7_1095,inverse(identity)) != inverse(X7_1095) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_241896]) ).
tff(c_242058,plain,
! [X7_1096] :
( ( inverse(X7_1096) != identity )
| ( inverse(X7_1096) != X7_1096 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47189,c_47556,c_47189,c_47189,c_242010]) ).
tff(c_242076,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_47189,c_242058]) ).
tff(c_242088,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47189,c_242076]) ).
tff(c_242089,plain,
! [X1_10,X6_7] :
( ( multiply(X1_10,sk_c9) != identity )
| ( inverse(X1_10) != identity )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_47163]) ).
tff(c_263757,plain,
! [X1_10,X6_7] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_242337,c_242116,c_242337,c_242116,c_242089]) ).
tff(c_263759,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_263757]) ).
tff(c_263761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_263759,c_242106]) ).
tff(c_263763,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_263757]) ).
tff(c_263765,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_263763,c_242106]) ).
tff(c_263767,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_263809,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_263767,c_10]) ).
tff(c_263813,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_263809,c_4]) ).
tff(c_263766,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_263779,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_263766,c_4]) ).
tff(c_263917,plain,
! [Z_1264] : ( multiply(sk_c9,multiply(sk_c10,Z_1264)) = multiply(identity,Z_1264) ),
inference(superposition,[status(thm),theory(equality)],[c_263779,c_263884]) ).
tff(c_263987,plain,
! [Z_1267] : ( multiply(sk_c9,multiply(sk_c10,Z_1267)) = Z_1267 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_263917]) ).
tff(c_264005,plain,
multiply(sk_c9,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_263813,c_263987]) ).
tff(c_263829,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_46756,c_84]) ).
tff(c_263911,plain,
! [Z_1264] : ( multiply(sk_c10,multiply(sk_c4,Z_1264)) = multiply(identity,Z_1264) ),
inference(superposition,[status(thm),theory(equality)],[c_263813,c_263884]) ).
tff(c_263941,plain,
! [Z_1265] : ( multiply(sk_c10,multiply(sk_c4,Z_1265)) = Z_1265 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_263911]) ).
tff(c_263953,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_263829,c_263941]) ).
tff(c_264182,plain,
! [Z_1271] : ( multiply(sk_c4,multiply(sk_c9,Z_1271)) = multiply(sk_c10,Z_1271) ),
inference(superposition,[status(thm),theory(equality)],[c_263829,c_263884]) ).
tff(c_264203,plain,
multiply(sk_c4,identity) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_263779,c_264182]) ).
tff(c_264207,plain,
multiply(sk_c4,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_263953,c_264203]) ).
tff(c_263934,plain,
! [Z_1264] : ( multiply(sk_c10,multiply(sk_c4,Z_1264)) = Z_1264 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_263911]) ).
tff(c_264211,plain,
multiply(sk_c10,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_264207,c_263934]) ).
tff(c_263936,plain,
! [Z_1264] : ( multiply(sk_c9,multiply(sk_c10,Z_1264)) = Z_1264 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_263917]) ).
tff(c_264232,plain,
multiply(sk_c9,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_264211,c_263936]) ).
tff(c_264238,plain,
sk_c9 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_264005,c_264232]) ).
tff(c_264247,plain,
multiply(sk_c10,sk_c10) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_264238,c_263953]) ).
tff(c_442287,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_442281,c_442281,c_264247]) ).
tff(c_442295,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_442287]) ).
tff(c_264325,plain,
! [X_1272,Z_1273] : ( multiply(inverse(X_1272),multiply(X_1272,Z_1273)) = Z_1273 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_263926]) ).
tff(c_264379,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_263835,c_264325]) ).
tff(c_264422,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_263797,c_264379]) ).
tff(c_264430,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_264422,c_263939]) ).
tff(c_264436,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_264430]) ).
tff(c_264443,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_264436,c_264436,c_264247]) ).
tff(c_264452,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_264443]) ).
tff(c_264448,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_264436,c_263809]) ).
tff(c_264504,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_264452,c_264448]) ).
tff(c_264650,plain,
! [X_1277,Z_1278] : ( multiply(inverse(inverse(X_1277)),Z_1278) = multiply(X_1277,Z_1278) ),
inference(superposition,[status(thm),theory(equality)],[c_263939,c_264325]) ).
tff(c_264406,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_264325]) ).
tff(c_264657,plain,
! [X_1277] : ( multiply(X_1277,identity) = X_1277 ),
inference(superposition,[status(thm),theory(equality)],[c_264650,c_264406]) ).
tff(c_264671,plain,
! [X_1277] : ( multiply(X_1277,inverse(X_1277)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_264650,c_4]) ).
tff(c_264693,plain,
! [X_1279] : ( multiply(X_1279,identity) = X_1279 ),
inference(superposition,[status(thm),theory(equality)],[c_264650,c_264406]) ).
tff(c_264731,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_264406,c_264693]) ).
tff(c_264843,plain,
! [X_1282,Y_1283,Z_1284] : ( multiply(inverse(multiply(X_1282,Y_1283)),multiply(X_1282,multiply(Y_1283,Z_1284))) = Z_1284 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_264325]) ).
tff(c_264879,plain,
! [X_1282,X_1277] : ( multiply(inverse(multiply(X_1282,X_1277)),multiply(X_1282,identity)) = inverse(X_1277) ),
inference(superposition,[status(thm),theory(equality)],[c_264671,c_264843]) ).
tff(c_265294,plain,
! [X_1293,X_1294] : ( multiply(inverse(multiply(X_1293,X_1294)),X_1293) = inverse(X_1294) ),
inference(demodulation,[status(thm),theory(equality)],[c_264657,c_264879]) ).
tff(c_264932,plain,
! [X_1282,X_1277] : ( multiply(inverse(multiply(X_1282,X_1277)),X_1282) = inverse(X_1277) ),
inference(demodulation,[status(thm),theory(equality)],[c_264657,c_264879]) ).
tff(c_265297,plain,
! [X_1294,X_1293] : ( multiply(inverse(inverse(X_1294)),inverse(multiply(X_1293,X_1294))) = inverse(X_1293) ),
inference(superposition,[status(thm),theory(equality)],[c_265294,c_264932]) ).
tff(c_265406,plain,
! [X_1295,X_1296] : ( multiply(X_1295,inverse(multiply(X_1296,X_1295))) = inverse(X_1296) ),
inference(demodulation,[status(thm),theory(equality)],[c_264731,c_265297]) ).
tff(c_264664,plain,
! [X_1277,Z_1264] : ( multiply(X_1277,multiply(inverse(X_1277),Z_1264)) = Z_1264 ),
inference(superposition,[status(thm),theory(equality)],[c_264650,c_263939]) ).
tff(c_265428,plain,
! [X_1296,X_1277] : ( inverse(multiply(X_1296,inverse(X_1277))) = multiply(X_1277,inverse(X_1296)) ),
inference(superposition,[status(thm),theory(equality)],[c_265406,c_264664]) ).
tff(c_264049,plain,
! [Z_1269] : ( multiply(sk_c4,multiply(sk_c9,Z_1269)) = multiply(sk_c10,Z_1269) ),
inference(superposition,[status(thm),theory(equality)],[c_263829,c_263884]) ).
tff(c_264073,plain,
multiply(sk_c4,identity) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_263779,c_264049]) ).
tff(c_264077,plain,
multiply(sk_c4,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_263953,c_264073]) ).
tff(c_264089,plain,
multiply(sk_c10,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_264077,c_263934]) ).
tff(c_264107,plain,
multiply(sk_c9,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_264089,c_263936]) ).
tff(c_264113,plain,
sk_c9 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_264005,c_264107]) ).
tff(c_264124,plain,
multiply(sk_c4,sk_c4) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_264113,c_263829]) ).
tff(c_264010,plain,
! [X4_13,X3_8,X1_10,X7_9,X6_7] :
( ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_263766,c_98]) ).
tff(c_264011,plain,
! [X4_13] :
( ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_264010]) ).
tff(c_264132,plain,
! [X4_13] :
( ( multiply(X4_13,sk_c4) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_264113,c_264011]) ).
tff(c_264160,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_264124,c_264132]) ).
tff(c_264172,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_263809,c_264160]) ).
tff(c_264173,plain,
! [X6_7,X1_10,X7_9,X3_8] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_264010]) ).
tff(c_264264,plain,
! [X6_7,X1_10,X7_9,X3_8] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c4 )
| ( multiply(X1_10,sk_c4) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c4) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_264238,c_264238,c_264238,c_264173]) ).
tff(c_264265,plain,
! [X7_9,X3_8] :
( ( inverse(multiply(X7_9,inverse(X3_8))) != inverse(X3_8) )
| ( multiply(X7_9,inverse(X3_8)) != inverse(X7_9) )
| ( multiply(inverse(X3_8),sk_c4) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_264264]) ).
tff(c_441932,plain,
! [X3_1800,X7_1801] :
( ( multiply(X3_1800,inverse(X7_1801)) != inverse(X3_1800) )
| ( multiply(X7_1801,inverse(X3_1800)) != inverse(X7_1801) )
| ( inverse(X3_1800) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_264671,c_264436,c_264657,c_264452,c_264436,c_265428,c_264265]) ).
tff(c_442044,plain,
! [X7_1801] :
( ( inverse(identity) != inverse(X7_1801) )
| ( multiply(X7_1801,inverse(identity)) != inverse(X7_1801) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_441932]) ).
tff(c_442091,plain,
! [X7_1802] :
( ( inverse(X7_1802) != identity )
| ( inverse(X7_1802) != X7_1802 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_264504,c_264657,c_264504,c_264504,c_442044]) ).
tff(c_442109,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_264504,c_442091]) ).
tff(c_442121,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_264504,c_442109]) ).
tff(c_442122,plain,
! [X1_10,X6_7] :
( ( multiply(X1_10,sk_c4) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c4 ) ),
inference(splitRight,[status(thm)],[c_264264]) ).
tff(c_477572,plain,
! [X1_10,X6_7] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_442500,c_442295,c_442281,c_2,c_442281,c_442281,c_442281,c_442500,c_442295,c_442281,c_442122]) ).
tff(c_477574,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_477572]) ).
tff(c_442292,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_442281,c_263809]) ).
tff(c_442347,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_442295,c_442292]) ).
tff(c_477576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_477574,c_442347]) ).
tff(c_477578,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_477572]) ).
tff(c_477580,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_477578,c_442347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP228-1 : 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
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 22:05:14 EDT 2023
% 0.15/0.36 % CPUTime :
% 78.93/65.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 79.05/65.50
% 79.05/65.50 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 79.47/65.59
% 79.47/65.59 Inference rules
% 79.47/65.59 ----------------------
% 79.47/65.59 #Ref : 0
% 79.47/65.59 #Sup : 113831
% 79.47/65.59 #Fact : 0
% 79.47/65.59 #Define : 0
% 79.47/65.59 #Split : 35
% 79.47/65.59 #Chain : 0
% 79.47/65.59 #Close : 0
% 79.47/65.59
% 79.47/65.59 Ordering : KBO
% 79.47/65.59
% 79.47/65.59 Simplification rules
% 79.47/65.59 ----------------------
% 79.47/65.59 #Subsume : 1
% 79.47/65.59 #Demod : 611452
% 79.47/65.59 #Tautology : 92432
% 79.47/65.59 #SimpNegUnit : 110
% 79.47/65.59 #BackRed : 709
% 79.47/65.59
% 79.47/65.59 #Partial instantiations: 0
% 79.47/65.59 #Strategies tried : 1
% 79.47/65.59
% 79.47/65.59 Timing (in seconds)
% 79.47/65.59 ----------------------
% 79.47/65.59 Preprocessing : 0.59
% 79.47/65.60 Parsing : 0.22
% 79.47/65.60 CNF conversion : 0.03
% 79.47/65.60 Main loop : 63.72
% 79.47/65.60 Inferencing : 11.90
% 79.47/65.60 Reduction : 45.51
% 79.47/65.60 Demodulation : 43.76
% 79.47/65.60 BG Simplification : 0.80
% 79.47/65.60 Subsumption : 4.33
% 79.47/65.60 Abstraction : 3.66
% 79.47/65.60 MUC search : 0.00
% 79.47/65.60 Cooper : 0.00
% 79.47/65.60 Total : 64.50
% 79.47/65.60 Index Insertion : 0.00
% 79.47/65.60 Index Deletion : 0.00
% 79.47/65.60 Index Matching : 0.00
% 79.47/65.60 BG Taut test : 0.00
%------------------------------------------------------------------------------