TSTP Solution File: GRP308-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP308-1 : 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 : n009.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 10:40:52 EDT 2023
% Result : Unsatisfiable 13.62s 4.90s
% Output : CNFRefutation 13.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 50
% Syntax : Number of formulae : 711 ( 606 unt; 11 typ; 0 def)
% Number of atoms : 894 ( 865 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 398 ( 204 ~; 194 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 299 (; 299 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_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_74,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( multiply(sk_c8,X3) != sk_c7 )
| ( multiply(X4,sk_c8) != X3 )
| ( inverse(X4) != sk_c8 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X5) != sk_c6 )
| ( multiply(X5,sk_c8) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
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_30082,plain,
! [X_373,Y_374,Z_375] : ( multiply(multiply(X_373,Y_374),Z_375) = multiply(X_373,multiply(Y_374,Z_375)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30118,plain,
! [X_2,Z_375] : ( multiply(inverse(X_2),multiply(X_2,Z_375)) = multiply(identity,Z_375) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30082]) ).
tff(c_31245,plain,
! [X_400,Z_401] : ( multiply(inverse(X_400),multiply(X_400,Z_401)) = Z_401 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30118]) ).
tff(c_30130,plain,
! [X_2,Z_375] : ( multiply(inverse(X_2),multiply(X_2,Z_375)) = Z_375 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30118]) ).
tff(c_31570,plain,
! [X_404,Z_405] : ( multiply(inverse(inverse(X_404)),Z_405) = multiply(X_404,Z_405) ),
inference(superposition,[status(thm),theory(equality)],[c_31245,c_30130]) ).
tff(c_31305,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31245]) ).
tff(c_31577,plain,
! [X_404] : ( multiply(X_404,identity) = X_404 ),
inference(superposition,[status(thm),theory(equality)],[c_31570,c_31305]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_16089,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_74,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_97,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_101,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_22,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_110,plain,
inverse(sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_114,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_110,c_4]) ).
tff(c_27821,plain,
! [X_329,Y_330,Z_331] : ( multiply(multiply(X_329,Y_330),Z_331) = multiply(X_329,multiply(Y_330,Z_331)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_27857,plain,
! [Z_331] : ( multiply(sk_c6,multiply(sk_c8,Z_331)) = multiply(identity,Z_331) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_27821]) ).
tff(c_27878,plain,
! [Z_332] : ( multiply(sk_c6,multiply(sk_c8,Z_332)) = Z_332 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27857]) ).
tff(c_27896,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_27878]) ).
tff(c_46,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_16107,plain,
multiply(sk_c8,sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_16556,plain,
! [X_193,Y_194,Z_195] : ( multiply(multiply(X_193,Y_194),Z_195) = multiply(X_193,multiply(Y_194,Z_195)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16595,plain,
! [Z_195] : ( multiply(sk_c6,multiply(sk_c8,Z_195)) = multiply(identity,Z_195) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_16556]) ).
tff(c_16616,plain,
! [Z_196] : ( multiply(sk_c6,multiply(sk_c8,Z_196)) = Z_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16595]) ).
tff(c_16631,plain,
multiply(sk_c6,sk_c7) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_16107,c_16616]) ).
tff(c_16175,plain,
! [X_186,Y_187,Z_188] : ( multiply(multiply(X_186,Y_187),Z_188) = multiply(X_186,multiply(Y_187,Z_188)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16217,plain,
! [Z_188] : ( multiply(sk_c6,multiply(sk_c8,Z_188)) = multiply(identity,Z_188) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_16175]) ).
tff(c_16238,plain,
! [Z_189] : ( multiply(sk_c6,multiply(sk_c8,Z_189)) = Z_189 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16217]) ).
tff(c_16259,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_16238]) ).
tff(c_64,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_125,plain,
multiply(sk_c1,sk_c8) = sk_c2,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_15509,plain,
! [X_174,Y_175,Z_176] : ( multiply(multiply(X_174,Y_175),Z_176) = multiply(X_174,multiply(Y_175,Z_176)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15554,plain,
! [X_2,Z_176] : ( multiply(inverse(X_2),multiply(X_2,Z_176)) = multiply(identity,Z_176) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15509]) ).
tff(c_15913,plain,
! [X_183,Z_184] : ( multiply(inverse(X_183),multiply(X_183,Z_184)) = Z_184 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15554]) ).
tff(c_15952,plain,
multiply(inverse(sk_c1),sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_125,c_15913]) ).
tff(c_15975,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_15952]) ).
tff(c_15567,plain,
! [X_2,Z_176] : ( multiply(inverse(X_2),multiply(X_2,Z_176)) = Z_176 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15554]) ).
tff(c_15982,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_15975,c_15567]) ).
tff(c_15991,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_114,c_110,c_15982]) ).
tff(c_15548,plain,
! [Z_176] : ( multiply(sk_c6,multiply(sk_c8,Z_176)) = multiply(identity,Z_176) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_15509]) ).
tff(c_15569,plain,
! [Z_177] : ( multiply(sk_c6,multiply(sk_c8,Z_177)) = Z_177 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15548]) ).
tff(c_15584,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_15569]) ).
tff(c_15161,plain,
! [X_168,Y_169,Z_170] : ( multiply(multiply(X_168,Y_169),Z_170) = multiply(X_168,multiply(Y_169,Z_170)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15206,plain,
! [X_2,Z_170] : ( multiply(inverse(X_2),multiply(X_2,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15161]) ).
tff(c_15289,plain,
! [X_172,Z_173] : ( multiply(inverse(X_172),multiply(X_172,Z_173)) = Z_173 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15206]) ).
tff(c_15328,plain,
multiply(inverse(sk_c1),sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_125,c_15289]) ).
tff(c_15351,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_15328]) ).
tff(c_15219,plain,
! [X_2,Z_170] : ( multiply(inverse(X_2),multiply(X_2,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15206]) ).
tff(c_15357,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_15351,c_15219]) ).
tff(c_15366,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_114,c_110,c_15357]) ).
tff(c_52,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_14599,plain,
multiply(sk_c8,sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_15200,plain,
! [Z_170] : ( multiply(sk_c6,multiply(sk_c8,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_15161]) ).
tff(c_15221,plain,
! [Z_171] : ( multiply(sk_c6,multiply(sk_c8,Z_171)) = Z_171 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15200]) ).
tff(c_15236,plain,
multiply(sk_c6,sk_c7) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_14599,c_15221]) ).
tff(c_14098,plain,
! [X_150,Y_151,Z_152] : ( multiply(multiply(X_150,Y_151),Z_152) = multiply(X_150,multiply(Y_151,Z_152)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14140,plain,
! [Z_152] : ( multiply(sk_c6,multiply(sk_c8,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_14098]) ).
tff(c_14161,plain,
! [Z_153] : ( multiply(sk_c6,multiply(sk_c8,Z_153)) = Z_153 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14140]) ).
tff(c_14179,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_14161]) ).
tff(c_14008,plain,
multiply(sk_c8,sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_13587,plain,
! [X_142,Y_143,Z_144] : ( multiply(multiply(X_142,Y_143),Z_144) = multiply(X_142,multiply(Y_143,Z_144)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13629,plain,
! [Z_144] : ( multiply(sk_c6,multiply(sk_c8,Z_144)) = multiply(identity,Z_144) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_13587]) ).
tff(c_13650,plain,
! [Z_145] : ( multiply(sk_c6,multiply(sk_c8,Z_145)) = Z_145 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13629]) ).
tff(c_13671,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_13650]) ).
tff(c_13635,plain,
! [X_2,Z_144] : ( multiply(inverse(X_2),multiply(X_2,Z_144)) = multiply(identity,Z_144) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13587]) ).
tff(c_13729,plain,
! [X_146,Z_147] : ( multiply(inverse(X_146),multiply(X_146,Z_147)) = Z_147 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13635]) ).
tff(c_13768,plain,
multiply(inverse(sk_c1),sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_125,c_13729]) ).
tff(c_13791,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_13768]) ).
tff(c_13648,plain,
! [X_2,Z_144] : ( multiply(inverse(X_2),multiply(X_2,Z_144)) = Z_144 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13635]) ).
tff(c_13797,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_13791,c_13648]) ).
tff(c_13806,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_114,c_110,c_13797]) ).
tff(c_136,plain,
multiply(sk_c8,sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_171,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_198,plain,
! [Z_15] : ( multiply(sk_c6,multiply(sk_c8,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_171]) ).
tff(c_216,plain,
! [Z_16] : ( multiply(sk_c6,multiply(sk_c8,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_198]) ).
tff(c_228,plain,
multiply(sk_c6,sk_c7) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_136,c_216]) ).
tff(c_38,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_147,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_238,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_228,c_147]) ).
tff(c_257,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_238,c_110]) ).
tff(c_268,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_257,c_4]) ).
tff(c_253,plain,
multiply(sk_c2,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_238,c_136]) ).
tff(c_259,plain,
inverse(sk_c1) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_238,c_97]) ).
tff(c_255,plain,
multiply(sk_c1,sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_238,c_125]) ).
tff(c_204,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_171]) ).
tff(c_214,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_375,plain,
multiply(inverse(sk_c1),sk_c2) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_255,c_214]) ).
tff(c_381,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_253,c_259,c_375]) ).
tff(c_385,plain,
multiply(sk_c6,sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_381,c_228]) ).
tff(c_386,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_268,c_385]) ).
tff(c_312,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_259,c_4]) ).
tff(c_434,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_386,c_312]) ).
tff(c_418,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_259]) ).
tff(c_440,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_434,c_418]) ).
tff(c_419,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_257]) ).
tff(c_453,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_440,c_419]) ).
tff(c_272,plain,
! [X_17,Z_18] : ( multiply(inverse(X_17),multiply(X_17,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_500,plain,
! [X_21,Z_22] : ( multiply(inverse(inverse(X_21)),Z_22) = multiply(X_21,Z_22) ),
inference(superposition,[status(thm),theory(equality)],[c_272,c_214]) ).
tff(c_299,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_272]) ).
tff(c_507,plain,
! [X_21] : ( multiply(X_21,identity) = X_21 ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_299]) ).
tff(c_420,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_238]) ).
tff(c_414,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_381]) ).
tff(c_130,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_80,plain,
! [X5_6,X2_9,X1_8,X4_10] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_247,plain,
! [X5_6,X2_9,X1_8,X4_10] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( sk_c8 != sk_c2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130,c_110,c_228,c_80]) ).
tff(c_248,plain,
sk_c8 != sk_c2,
inference(splitLeft,[status(thm)],[c_247]) ).
tff(c_249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_238]) ).
tff(c_250,plain,
! [X4_10,X1_8,X2_9,X5_6] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_247]) ).
tff(c_8380,plain,
! [X4_10,X1_8,X2_9,X5_6] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( identity != X5_6 )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_453,c_507,c_453,c_420,c_507,c_453,c_414,c_414,c_507,c_420,c_414,c_420,c_507,c_420,c_2,c_420,c_414,c_420,c_250]) ).
tff(c_8382,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8380]) ).
tff(c_8384,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8382,c_440]) ).
tff(c_8385,plain,
! [X2_9,X1_8,X4_10] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 ) ),
inference(splitRight,[status(thm)],[c_8380]) ).
tff(c_12713,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8385]) ).
tff(c_12715,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12713,c_440]) ).
tff(c_12716,plain,
! [X1_8,X2_9] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(splitRight,[status(thm)],[c_8385]) ).
tff(c_12718,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_12716]) ).
tff(c_12720,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12718,c_440]) ).
tff(c_13518,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_12716]) ).
tff(c_13520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13518,c_440]) ).
tff(c_13522,plain,
multiply(sk_c6,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_34,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_13534,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_13522,c_34]) ).
tff(c_13538,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13534,c_4]) ).
tff(c_13662,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_13538,c_13650]) ).
tff(c_13700,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13671,c_13662]) ).
tff(c_32,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_13564,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13522,c_32]) ).
tff(c_13701,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13700,c_13564]) ).
tff(c_13704,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_13701]) ).
tff(c_13811,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13806,c_13704]) ).
tff(c_13623,plain,
! [Z_144] : ( multiply(sk_c8,multiply(sk_c7,Z_144)) = multiply(sk_c6,Z_144) ),
inference(superposition,[status(thm),theory(equality)],[c_130,c_13587]) ).
tff(c_13869,plain,
! [Z_148] : ( multiply(sk_c8,Z_148) = multiply(sk_c6,Z_148) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13811,c_13623]) ).
tff(c_13809,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_13806,c_13791]) ).
tff(c_13875,plain,
multiply(sk_c6,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13869,c_13809]) ).
tff(c_13895,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13671,c_13875]) ).
tff(c_13665,plain,
multiply(sk_c6,sk_c7) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_136,c_13650]) ).
tff(c_13675,plain,
sk_c8 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_13665,c_13522]) ).
tff(c_13812,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13806,c_13675]) ).
tff(c_13903,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13895,c_13812]) ).
tff(c_13908,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13895,c_97]) ).
tff(c_13906,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13895,c_110]) ).
tff(c_13925,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13908,c_13906]) ).
tff(c_13712,plain,
multiply(sk_c6,sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_13704,c_13665]) ).
tff(c_13986,plain,
multiply(sk_c1,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13925,c_13806,c_13806,c_13712]) ).
tff(c_13717,plain,
multiply(sk_c8,sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13704,c_130]) ).
tff(c_14004,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13986,c_13925,c_13895,c_13806,c_13717]) ).
tff(c_14005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13903,c_14004]) ).
tff(c_14007,plain,
multiply(sk_c8,sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_14021,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14008,c_14007]) ).
tff(c_14022,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_14034,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14022,c_4]) ).
tff(c_14173,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_14034,c_14161]) ).
tff(c_14201,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14179,c_14173]) ).
tff(c_44,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_14079,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14007,c_44]) ).
tff(c_14202,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14201,c_14079]) ).
tff(c_14205,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_14202]) ).
tff(c_14218,plain,
multiply(sk_c8,sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14205,c_130]) ).
tff(c_14143,plain,
! [Z_152] : ( multiply(sk_c8,multiply(sk_c1,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_14098]) ).
tff(c_14300,plain,
! [Z_155] : ( multiply(sk_c8,multiply(sk_c1,Z_155)) = Z_155 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14143]) ).
tff(c_14319,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_125,c_14300]) ).
tff(c_14325,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14218,c_14319]) ).
tff(c_14334,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14325,c_110]) ).
tff(c_14333,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14325,c_114]) ).
tff(c_14146,plain,
! [X_2,Z_152] : ( multiply(inverse(X_2),multiply(X_2,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14098]) ).
tff(c_14159,plain,
! [X_2,Z_152] : ( multiply(inverse(X_2),multiply(X_2,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14146]) ).
tff(c_14428,plain,
multiply(inverse(sk_c6),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14333,c_14159]) ).
tff(c_14434,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14179,c_14334,c_14428]) ).
tff(c_14176,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_130,c_14161]) ).
tff(c_14212,plain,
multiply(sk_c6,sk_c6) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14205,c_14176]) ).
tff(c_14424,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14333,c_14212]) ).
tff(c_14217,plain,
multiply(sk_c8,sk_c2) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14205,c_14007]) ).
tff(c_14275,plain,
sk_c6 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14218,c_14217]) ).
tff(c_14439,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14424,c_14275]) ).
tff(c_14450,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14434,c_14439]) ).
tff(c_14408,plain,
multiply(sk_c6,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14334,c_4]) ).
tff(c_14495,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14434,c_14434,c_14408]) ).
tff(c_14006,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_14458,plain,
inverse(sk_c5) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14434,c_14006]) ).
tff(c_54,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_14093,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14007,c_54]) ).
tff(c_14331,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14325,c_14093]) ).
tff(c_14577,plain,
multiply(sk_c5,sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14434,c_14434,c_14331]) ).
tff(c_14581,plain,
multiply(inverse(sk_c5),sk_c1) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_14577,c_14159]) ).
tff(c_14587,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14495,c_14458,c_14581]) ).
tff(c_14589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14450,c_14587]) ).
tff(c_14590,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_14591,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_14668,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14591,c_12]) ).
tff(c_14673,plain,
! [X_160,Y_161,Z_162] : ( multiply(multiply(X_160,Y_161),Z_162) = multiply(X_160,multiply(Y_161,Z_162)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14721,plain,
! [X_2,Z_162] : ( multiply(inverse(X_2),multiply(X_2,Z_162)) = multiply(identity,Z_162) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14673]) ).
tff(c_14836,plain,
! [X_164,Z_165] : ( multiply(inverse(X_164),multiply(X_164,Z_165)) = Z_165 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14721]) ).
tff(c_14875,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14668,c_14836]) ).
tff(c_14898,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14590,c_14875]) ).
tff(c_14734,plain,
! [X_2,Z_162] : ( multiply(inverse(X_2),multiply(X_2,Z_162)) = Z_162 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14721]) ).
tff(c_14902,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14898,c_14734]) ).
tff(c_14908,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14902]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_14625,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14591,c_16]) ).
tff(c_14917,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14908,c_14625]) ).
tff(c_14951,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14917,c_4]) ).
tff(c_15057,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14951,c_14734]) ).
tff(c_15069,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15057]) ).
tff(c_15073,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15069,c_14917]) ).
tff(c_14715,plain,
! [Z_162] : ( multiply(sk_c6,multiply(sk_c8,Z_162)) = multiply(identity,Z_162) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_14673]) ).
tff(c_14736,plain,
! [Z_163] : ( multiply(sk_c6,multiply(sk_c8,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14715]) ).
tff(c_14754,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_14736]) ).
tff(c_14911,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14908,c_14754]) ).
tff(c_14918,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14911]) ).
tff(c_14751,plain,
multiply(sk_c6,sk_c7) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_14599,c_14736]) ).
tff(c_14645,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_14758,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14751,c_14645]) ).
tff(c_14779,plain,
inverse(sk_c1) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14758,c_97]) ).
tff(c_14924,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14918,c_14779]) ).
tff(c_15081,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15073,c_14924]) ).
tff(c_14910,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14908,c_14898]) ).
tff(c_14794,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14779,c_4]) ).
tff(c_14929,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14918,c_14794]) ).
tff(c_14709,plain,
! [Z_162] : ( multiply(sk_c8,multiply(sk_c2,Z_162)) = multiply(sk_c7,Z_162) ),
inference(superposition,[status(thm),theory(equality)],[c_14599,c_14673]) ).
tff(c_14990,plain,
! [Z_166] : ( multiply(sk_c2,multiply(sk_c2,Z_166)) = multiply(sk_c7,Z_166) ),
inference(demodulation,[status(thm),theory(equality)],[c_14758,c_14709]) ).
tff(c_15011,plain,
multiply(sk_c7,identity) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_14929,c_14990]) ).
tff(c_15019,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14910,c_14929,c_15011]) ).
tff(c_14774,plain,
multiply(sk_c2,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14758,c_14591]) ).
tff(c_15132,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15081,c_15019,c_14908,c_14774]) ).
tff(c_15134,plain,
multiply(sk_c6,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_15243,plain,
sk_c8 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_15236,c_15134]) ).
tff(c_15372,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15366,c_15243]) ).
tff(c_15239,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_15221]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_14610,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14591,c_10]) ).
tff(c_14614,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14610,c_4]) ).
tff(c_15233,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_14614,c_15221]) ).
tff(c_15261,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_15239,c_15233]) ).
tff(c_15133,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_15262,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15261,c_15133]) ).
tff(c_15265,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_15262]) ).
tff(c_15371,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15366,c_15265]) ).
tff(c_15194,plain,
! [Z_170] : ( multiply(sk_c8,multiply(sk_c2,Z_170)) = multiply(sk_c7,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_14599,c_15161]) ).
tff(c_15427,plain,
! [Z_170] : ( multiply(sk_c8,Z_170) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15371,c_2,c_15366,c_15194]) ).
tff(c_15369,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_15366,c_15351]) ).
tff(c_15428,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15427,c_15369]) ).
tff(c_15431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15372,c_15428]) ).
tff(c_15433,plain,
multiply(sk_c8,sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_15450,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_15433,c_46]) ).
tff(c_15454,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15450,c_4]) ).
tff(c_15581,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_15454,c_15569]) ).
tff(c_15596,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_15584,c_15581]) ).
tff(c_8,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_15485,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14591,c_8]) ).
tff(c_15597,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15596,c_15485]) ).
tff(c_15600,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_15597]) ).
tff(c_15612,plain,
inverse(sk_c4) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_15600,c_14590]) ).
tff(c_15620,plain,
multiply(sk_c2,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15612,c_4]) ).
tff(c_16002,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15991,c_15620]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_15492,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15433,c_48]) ).
tff(c_15607,plain,
multiply(sk_c4,sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15600,c_15492]) ).
tff(c_16035,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16002,c_15991,c_15607]) ).
tff(c_15432,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_15499,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15433,c_54]) ).
tff(c_15943,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15499,c_15913]) ).
tff(c_15974,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_15432,c_15943]) ).
tff(c_16036,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16035,c_16035,c_15974]) ).
tff(c_16045,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16036]) ).
tff(c_15611,plain,
multiply(sk_c8,sk_c2) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15600,c_14591]) ).
tff(c_15978,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15975,c_15611]) ).
tff(c_16037,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16035,c_15978]) ).
tff(c_16086,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16045,c_16037]) ).
tff(c_16088,plain,
multiply(sk_c1,sk_c8) != sk_c2,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_58,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_16115,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16088,c_58]) ).
tff(c_16119,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16115,c_4]) ).
tff(c_16250,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_16119,c_16238]) ).
tff(c_16274,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16259,c_16250]) ).
tff(c_56,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_16164,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16088,c_56]) ).
tff(c_16283,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16274,c_16164]) ).
tff(c_16299,plain,
sk_c7 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16283,c_16088]) ).
tff(c_62,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_16128,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16088,c_62]) ).
tff(c_60,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_16159,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16088,c_60]) ).
tff(c_16223,plain,
! [X_2,Z_188] : ( multiply(inverse(X_2),multiply(X_2,Z_188)) = multiply(identity,Z_188) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16175]) ).
tff(c_16422,plain,
! [X_191,Z_192] : ( multiply(inverse(X_191),multiply(X_191,Z_192)) = Z_192 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16223]) ).
tff(c_16470,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16159,c_16422]) ).
tff(c_16495,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16128,c_16470]) ).
tff(c_16236,plain,
! [X_2,Z_188] : ( multiply(inverse(X_2),multiply(X_2,Z_188)) = Z_188 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16223]) ).
tff(c_16499,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16495,c_16236]) ).
tff(c_16505,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16499]) ).
tff(c_16514,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16505,c_16259]) ).
tff(c_16519,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16514]) ).
tff(c_16253,plain,
multiply(sk_c6,sk_c7) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_16107,c_16238]) ).
tff(c_42,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_16150,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_16333,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16253,c_16150]) ).
tff(c_16342,plain,
multiply(sk_c1,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16333,c_16283]) ).
tff(c_16524,plain,
multiply(identity,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16519,c_16342]) ).
tff(c_16528,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16524]) ).
tff(c_16530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16299,c_16528]) ).
tff(c_16532,plain,
multiply(sk_c6,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_16667,plain,
sk_c8 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16631,c_16532]) ).
tff(c_16637,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_16616]) ).
tff(c_16628,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_16119,c_16616]) ).
tff(c_16649,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16637,c_16628]) ).
tff(c_16543,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16532,c_32]) ).
tff(c_16658,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16649,c_16543]) ).
tff(c_16598,plain,
! [Z_195] : ( multiply(sk_c8,multiply(sk_c1,Z_195)) = multiply(identity,Z_195) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_16556]) ).
tff(c_16712,plain,
! [Z_198] : ( multiply(sk_c8,multiply(sk_c1,Z_198)) = Z_198 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16598]) ).
tff(c_16727,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16658,c_16712]) ).
tff(c_16731,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16089,c_16727]) ).
tff(c_16739,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16731,c_16089]) ).
tff(c_16744,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16631,c_16739]) ).
tff(c_16676,plain,
! [X5_6,X2_9,X1_8,X4_10] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( sk_c8 != sk_c2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16089,c_110,c_16631,c_80]) ).
tff(c_16677,plain,
sk_c8 != sk_c2,
inference(splitLeft,[status(thm)],[c_16676]) ).
tff(c_16735,plain,
sk_c6 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16731,c_16677]) ).
tff(c_16799,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16744,c_16735]) ).
tff(c_16801,plain,
sk_c8 = sk_c2,
inference(splitRight,[status(thm)],[c_16676]) ).
tff(c_16821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16667,c_16801]) ).
tff(c_16822,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_16827,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16822,c_4]) ).
tff(c_27890,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_16827,c_27878]) ).
tff(c_27915,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27896,c_27890]) ).
tff(c_16823,plain,
multiply(sk_c8,sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_27805,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16823,c_44]) ).
tff(c_27916,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_27915,c_27805]) ).
tff(c_27860,plain,
! [Z_331] : ( multiply(sk_c8,multiply(sk_c1,Z_331)) = multiply(identity,Z_331) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_27821]) ).
tff(c_27935,plain,
! [Z_333] : ( multiply(sk_c8,multiply(sk_c1,Z_333)) = Z_333 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27860]) ).
tff(c_27950,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27916,c_27935]) ).
tff(c_27954,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16089,c_27950]) ).
tff(c_27962,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27954,c_114]) ).
tff(c_27893,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16089,c_27878]) ).
tff(c_28002,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27962,c_27893]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_16837,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16823,c_50]) ).
tff(c_16841,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16837,c_4]) ).
tff(c_28014,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28002,c_16841]) ).
tff(c_27863,plain,
! [X_2,Z_331] : ( multiply(inverse(X_2),multiply(X_2,Z_331)) = multiply(identity,Z_331) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27821]) ).
tff(c_27876,plain,
! [X_2,Z_331] : ( multiply(inverse(X_2),multiply(X_2,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27863]) ).
tff(c_28127,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_28014,c_27876]) ).
tff(c_28139,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28127]) ).
tff(c_27963,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27954,c_110]) ).
tff(c_28021,plain,
! [X_335,Z_336] : ( multiply(inverse(X_335),multiply(X_335,Z_336)) = Z_336 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27863]) ).
tff(c_28039,plain,
multiply(inverse(sk_c6),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_27962,c_28021]) ).
tff(c_28067,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27896,c_27963,c_28039]) ).
tff(c_16862,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16823,c_48]) ).
tff(c_27842,plain,
! [Z_331] : ( multiply(sk_c4,multiply(sk_c7,Z_331)) = multiply(sk_c6,Z_331) ),
inference(superposition,[status(thm),theory(equality)],[c_16862,c_27821]) ).
tff(c_28150,plain,
! [Z_337] : ( multiply(sk_c1,Z_337) = Z_337 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28139,c_28067,c_2,c_28002,c_27842]) ).
tff(c_27965,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27954,c_97]) ).
tff(c_27991,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27965,c_4]) ).
tff(c_28090,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28067,c_27991]) ).
tff(c_28156,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_28150,c_28090]) ).
tff(c_28179,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28156,c_28067]) ).
tff(c_16892,plain,
! [X_202,Y_203,Z_204] : ( multiply(multiply(X_202,Y_203),Z_204) = multiply(X_202,multiply(Y_203,Z_204)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16937,plain,
! [X_2,Z_204] : ( multiply(inverse(X_2),multiply(X_2,Z_204)) = multiply(identity,Z_204) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16892]) ).
tff(c_17853,plain,
! [X_224,Z_225] : ( multiply(inverse(X_224),multiply(X_224,Z_225)) = Z_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16937]) ).
tff(c_16950,plain,
! [X_2,Z_204] : ( multiply(inverse(X_2),multiply(X_2,Z_204)) = Z_204 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16937]) ).
tff(c_18084,plain,
! [X_227,Z_228] : ( multiply(inverse(inverse(X_227)),Z_228) = multiply(X_227,Z_228) ),
inference(superposition,[status(thm),theory(equality)],[c_17853,c_16950]) ).
tff(c_17904,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17853]) ).
tff(c_18091,plain,
! [X_227] : ( multiply(X_227,identity) = X_227 ),
inference(superposition,[status(thm),theory(equality)],[c_18084,c_17904]) ).
tff(c_16931,plain,
! [Z_204] : ( multiply(sk_c6,multiply(sk_c8,Z_204)) = multiply(identity,Z_204) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_16892]) ).
tff(c_16952,plain,
! [Z_205] : ( multiply(sk_c6,multiply(sk_c8,Z_205)) = Z_205 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16931]) ).
tff(c_16970,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_16952]) ).
tff(c_16964,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_16827,c_16952]) ).
tff(c_17110,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16970,c_16964]) ).
tff(c_16877,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16823,c_44]) ).
tff(c_17111,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17110,c_16877]) ).
tff(c_16934,plain,
! [Z_204] : ( multiply(sk_c8,multiply(sk_c1,Z_204)) = multiply(identity,Z_204) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_16892]) ).
tff(c_17147,plain,
! [Z_210] : ( multiply(sk_c8,multiply(sk_c1,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16934]) ).
tff(c_17162,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17111,c_17147]) ).
tff(c_17166,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16089,c_17162]) ).
tff(c_17175,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17166,c_114]) ).
tff(c_16087,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_66,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_16885,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16088,c_66]) ).
tff(c_17171,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17166,c_16885]) ).
tff(c_17874,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17171,c_17853]) ).
tff(c_17912,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17175,c_16087,c_17874]) ).
tff(c_16967,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16089,c_16952]) ).
tff(c_17844,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17175,c_16967]) ).
tff(c_17206,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17175,c_16967]) ).
tff(c_17169,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17166,c_17111]) ).
tff(c_17248,plain,
multiply(sk_c1,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17206,c_17169]) ).
tff(c_17176,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17166,c_110]) ).
tff(c_16093,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16087,c_4]) ).
tff(c_17257,plain,
! [X_211,Z_212] : ( multiply(inverse(X_211),multiply(X_211,Z_212)) = Z_212 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16937]) ).
tff(c_17305,plain,
multiply(inverse(sk_c6),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16093,c_17257]) ).
tff(c_17324,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16970,c_17176,c_17305]) ).
tff(c_17325,plain,
multiply(sk_c1,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17324,c_17171]) ).
tff(c_17328,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17248,c_17325]) ).
tff(c_17454,plain,
! [X_214,Z_215] : ( multiply(inverse(inverse(X_214)),Z_215) = multiply(X_214,Z_215) ),
inference(superposition,[status(thm),theory(equality)],[c_16950,c_17257]) ).
tff(c_17311,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17257]) ).
tff(c_17461,plain,
! [X_214] : ( multiply(X_214,identity) = X_214 ),
inference(superposition,[status(thm),theory(equality)],[c_17454,c_17311]) ).
tff(c_16992,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16970,c_16964]) ).
tff(c_16993,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16992,c_16877]) ).
tff(c_17029,plain,
! [Z_207] : ( multiply(sk_c8,multiply(sk_c1,Z_207)) = Z_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16934]) ).
tff(c_17044,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16993,c_17029]) ).
tff(c_17048,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16089,c_17044]) ).
tff(c_17053,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17048,c_16885]) ).
tff(c_16867,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_16990,plain,
! [X5_6,X2_9,X1_8,X4_10] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16089,c_110,c_16867,c_80]) ).
tff(c_16991,plain,
! [X4_10] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_16990]) ).
tff(c_17087,plain,
! [X4_208] :
( ( inverse(X4_208) != sk_c6 )
| ( multiply(sk_c6,multiply(X4_208,sk_c6)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17048,c_17048,c_17048,c_16991]) ).
tff(c_17090,plain,
( ( inverse(sk_c5) != sk_c6 )
| ( multiply(sk_c6,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_17053,c_17087]) ).
tff(c_17108,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16967,c_16087,c_17090]) ).
tff(c_17109,plain,
! [X1_8,X2_9,X5_6] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_16990]) ).
tff(c_17204,plain,
! [X1_8,X2_9,X5_6] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17166,c_17166,c_17166,c_17109]) ).
tff(c_17205,plain,
! [X5_6] :
( ( multiply(X5_6,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_17204]) ).
tff(c_17840,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_17328,c_17461,c_17328,c_17328,c_17205]) ).
tff(c_17342,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_17328,c_16970]) ).
tff(c_17344,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17342]) ).
tff(c_17178,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17166,c_97]) ).
tff(c_17339,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17328,c_17178]) ).
tff(c_17399,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17344,c_17339]) ).
tff(c_17842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17840,c_17399]) ).
tff(c_17843,plain,
! [X2_9,X1_8] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_17204]) ).
tff(c_27787,plain,
! [X2_9,X1_8] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18091,c_17912,c_17844,c_17912,c_18091,c_17912,c_17844,c_17844,c_17843]) ).
tff(c_27789,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_27787]) ).
tff(c_17871,plain,
multiply(inverse(sk_c6),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17175,c_17853]) ).
tff(c_17911,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16970,c_17176,c_17871]) ).
tff(c_17955,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17912,c_17911]) ).
tff(c_17947,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_17911,c_17178]) ).
tff(c_18021,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17955,c_17955,c_17947]) ).
tff(c_27791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27789,c_18021]) ).
tff(c_27793,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_27787]) ).
tff(c_27795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27793,c_18021]) ).
tff(c_27797,plain,
multiply(sk_c6,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_27958,plain,
multiply(sk_c6,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27954,c_27797]) ).
tff(c_28223,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28179,c_2,c_28179,c_28002,c_27958]) ).
tff(c_28224,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_28225,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_28691,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_28225,c_12]) ).
tff(c_28709,plain,
! [X_346,Y_347,Z_348] : ( multiply(multiply(X_346,Y_347),Z_348) = multiply(X_346,multiply(Y_347,Z_348)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28751,plain,
! [X_2,Z_348] : ( multiply(inverse(X_2),multiply(X_2,Z_348)) = multiply(identity,Z_348) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28709]) ).
tff(c_28821,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_28751]) ).
tff(c_28851,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28691,c_28821]) ).
tff(c_28892,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28224,c_28851]) ).
tff(c_28764,plain,
! [X_2,Z_348] : ( multiply(inverse(X_2),multiply(X_2,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28751]) ).
tff(c_28899,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28892,c_28764]) ).
tff(c_28905,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28899]) ).
tff(c_28675,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_28912,plain,
multiply(identity,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_28905,c_28675]) ).
tff(c_28919,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28912]) ).
tff(c_18,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_28686,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_28225,c_18]) ).
tff(c_28854,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_28686,c_28821]) ).
tff(c_28893,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16087,c_28854]) ).
tff(c_29012,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28919,c_28905,c_2,c_28905,c_28893]) ).
tff(c_29015,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29012,c_28919]) ).
tff(c_28914,plain,
multiply(sk_c8,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28905,c_28225]) ).
tff(c_29097,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29015,c_29012,c_28914]) ).
tff(c_29099,plain,
multiply(sk_c6,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_29104,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29099,c_36]) ).
tff(c_29132,plain,
! [X_353,Y_354,Z_355] : ( multiply(multiply(X_353,Y_354),Z_355) = multiply(X_353,multiply(Y_354,Z_355)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29171,plain,
! [X_2,Z_355] : ( multiply(inverse(X_2),multiply(X_2,Z_355)) = multiply(identity,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29132]) ).
tff(c_29241,plain,
! [X_357,Z_358] : ( multiply(inverse(X_357),multiply(X_357,Z_358)) = Z_358 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29171]) ).
tff(c_29274,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29104,c_29241]) ).
tff(c_29310,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28224,c_29274]) ).
tff(c_29184,plain,
! [X_2,Z_355] : ( multiply(inverse(X_2),multiply(X_2,Z_355)) = Z_355 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29171]) ).
tff(c_29326,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29310,c_29184]) ).
tff(c_29332,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29326]) ).
tff(c_29111,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_28225,c_18]) ).
tff(c_29271,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29111,c_29241]) ).
tff(c_29309,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16087,c_29271]) ).
tff(c_29335,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29332,c_29332,c_29309]) ).
tff(c_29346,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29335]) ).
tff(c_29340,plain,
multiply(identity,sk_c7) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29332,c_29099]) ).
tff(c_29348,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29340]) ).
tff(c_29397,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29346,c_29348]) ).
tff(c_29345,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29332,c_110]) ).
tff(c_29476,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29346,c_29345]) ).
tff(c_29165,plain,
! [Z_355] : ( multiply(sk_c6,multiply(sk_c8,Z_355)) = multiply(identity,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_29132]) ).
tff(c_29186,plain,
! [Z_356] : ( multiply(sk_c6,multiply(sk_c8,Z_356)) = Z_356 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29165]) ).
tff(c_29201,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_29186]) ).
tff(c_29336,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_29332,c_29201]) ).
tff(c_29347,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29336]) ).
tff(c_28309,plain,
! [X_338,Y_339,Z_340] : ( multiply(multiply(X_338,Y_339),Z_340) = multiply(X_338,multiply(Y_339,Z_340)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28345,plain,
! [Z_340] : ( multiply(sk_c6,multiply(sk_c8,Z_340)) = multiply(identity,Z_340) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_28309]) ).
tff(c_28366,plain,
! [Z_341] : ( multiply(sk_c6,multiply(sk_c8,Z_341)) = Z_341 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28345]) ).
tff(c_28384,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_28366]) ).
tff(c_28257,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16088,c_58]) ).
tff(c_28261,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28257,c_4]) ).
tff(c_28378,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_28261,c_28366]) ).
tff(c_28398,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_28384,c_28378]) ).
tff(c_28283,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16088,c_56]) ).
tff(c_28407,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28398,c_28283]) ).
tff(c_28423,plain,
sk_c7 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_28407,c_16088]) ).
tff(c_28298,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16088,c_60]) ).
tff(c_28351,plain,
! [X_2,Z_340] : ( multiply(inverse(X_2),multiply(X_2,Z_340)) = multiply(identity,Z_340) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28309]) ).
tff(c_28431,plain,
! [X_342,Z_343] : ( multiply(inverse(X_342),multiply(X_342,Z_343)) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28351]) ).
tff(c_28464,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28298,c_28431]) ).
tff(c_28505,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28224,c_28464]) ).
tff(c_28364,plain,
! [X_2,Z_340] : ( multiply(inverse(X_2),multiply(X_2,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28351]) ).
tff(c_28513,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28505,c_28364]) ).
tff(c_28519,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28513]) ).
tff(c_28290,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_28225,c_18]) ).
tff(c_28467,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_28290,c_28431]) ).
tff(c_28506,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16087,c_28467]) ).
tff(c_28634,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28519,c_2,c_28519,c_28506]) ).
tff(c_28249,plain,
multiply(sk_c8,sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_28638,plain,
multiply(identity,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28634,c_28249]) ).
tff(c_28640,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28638]) ).
tff(c_28642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28423,c_28640]) ).
tff(c_28643,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_28648,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28643,c_4]) ).
tff(c_29198,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_28648,c_29186]) ).
tff(c_29215,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_29201,c_29198]) ).
tff(c_29390,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29347,c_29215]) ).
tff(c_29098,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_29153,plain,
! [Z_355] : ( multiply(sk_c3,multiply(sk_c8,Z_355)) = multiply(sk_c7,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_29098,c_29132]) ).
tff(c_29409,plain,
! [Z_360] : ( multiply(sk_c7,Z_360) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29390,c_2,c_29346,c_29153]) ).
tff(c_28236,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28224,c_4]) ).
tff(c_29421,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_29409,c_28236]) ).
tff(c_29432,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29421,c_28224]) ).
tff(c_29493,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29476,c_29432]) ).
tff(c_29494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29397,c_29493]) ).
tff(c_29496,plain,
inverse(sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_29540,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29496,c_24]) ).
tff(c_26,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_29504,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29496,c_26]) ).
tff(c_29508,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29504,c_4]) ).
tff(c_29575,plain,
! [X_361,Y_362,Z_363] : ( multiply(multiply(X_361,Y_362),Z_363) = multiply(X_361,multiply(Y_362,Z_363)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29602,plain,
! [Z_363] : ( multiply(sk_c7,multiply(sk_c4,Z_363)) = multiply(identity,Z_363) ),
inference(superposition,[status(thm),theory(equality)],[c_29508,c_29575]) ).
tff(c_29661,plain,
! [Z_366] : ( multiply(sk_c7,multiply(sk_c4,Z_366)) = Z_366 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29602]) ).
tff(c_29673,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29540,c_29661]) ).
tff(c_29611,plain,
! [X_2,Z_363] : ( multiply(inverse(X_2),multiply(X_2,Z_363)) = multiply(identity,Z_363) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29575]) ).
tff(c_29707,plain,
! [X_368,Z_369] : ( multiply(inverse(X_368),multiply(X_368,Z_369)) = Z_369 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29611]) ).
tff(c_29731,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29673,c_29707]) ).
tff(c_29790,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29731]) ).
tff(c_30,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_29552,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29496,c_30]) ).
tff(c_28,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_29521,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29496,c_28]) ).
tff(c_29525,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29521,c_4]) ).
tff(c_29599,plain,
! [Z_363] : ( multiply(sk_c6,multiply(sk_c5,Z_363)) = multiply(identity,Z_363) ),
inference(superposition,[status(thm),theory(equality)],[c_29525,c_29575]) ).
tff(c_29625,plain,
! [Z_364] : ( multiply(sk_c6,multiply(sk_c5,Z_364)) = Z_364 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29599]) ).
tff(c_29637,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29552,c_29625]) ).
tff(c_29847,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29790,c_29790,c_29637]) ).
tff(c_29853,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29847]) ).
tff(c_29852,plain,
inverse(sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29790,c_29496]) ).
tff(c_29924,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29853,c_29852]) ).
tff(c_20,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_29534,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29496,c_20]) ).
tff(c_29495,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_29500,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29495,c_4]) ).
tff(c_29605,plain,
! [Z_363] : ( multiply(sk_c8,multiply(sk_c3,Z_363)) = multiply(identity,Z_363) ),
inference(superposition,[status(thm),theory(equality)],[c_29500,c_29575]) ).
tff(c_29684,plain,
! [Z_367] : ( multiply(sk_c8,multiply(sk_c3,Z_367)) = Z_367 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29605]) ).
tff(c_29696,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29534,c_29684]) ).
tff(c_29725,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29696,c_29707]) ).
tff(c_29789,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29725]) ).
tff(c_29841,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29789,c_29504]) ).
tff(c_29941,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29841,c_4]) ).
tff(c_29623,plain,
! [X_2,Z_363] : ( multiply(inverse(X_2),multiply(X_2,Z_363)) = Z_363 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29611]) ).
tff(c_29969,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_29941,c_29623]) ).
tff(c_29981,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29969]) ).
tff(c_29985,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29981,c_29841]) ).
tff(c_29988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29924,c_29985]) ).
tff(c_29990,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_72,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_30059,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29990,c_72]) ).
tff(c_29989,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_29994,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29989,c_4]) ).
tff(c_30115,plain,
! [Z_375] : ( multiply(sk_c7,multiply(sk_c4,Z_375)) = multiply(identity,Z_375) ),
inference(superposition,[status(thm),theory(equality)],[c_29994,c_30082]) ).
tff(c_30192,plain,
! [Z_378] : ( multiply(sk_c7,multiply(sk_c4,Z_378)) = Z_378 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30115]) ).
tff(c_30204,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_30059,c_30192]) ).
tff(c_30239,plain,
! [X_380,Z_381] : ( multiply(inverse(X_380),multiply(X_380,Z_381)) = Z_381 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30118]) ).
tff(c_30263,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_30204,c_30239]) ).
tff(c_30324,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30263]) ).
tff(c_68,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_30039,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29990,c_68]) ).
tff(c_70,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_30010,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_29990,c_70]) ).
tff(c_30014,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30010,c_4]) ).
tff(c_30109,plain,
! [Z_375] : ( multiply(sk_c8,multiply(sk_c3,Z_375)) = multiply(identity,Z_375) ),
inference(superposition,[status(thm),theory(equality)],[c_30014,c_30082]) ).
tff(c_30132,plain,
! [Z_376] : ( multiply(sk_c8,multiply(sk_c3,Z_376)) = Z_376 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30109]) ).
tff(c_30144,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30039,c_30132]) ).
tff(c_30031,plain,
inverse(sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_30149,plain,
! [X5_6,X2_9,X1_8,X4_10] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30031,c_80]) ).
tff(c_30150,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_30149]) ).
tff(c_30151,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30144,c_30150]) ).
tff(c_30338,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_30324,c_30151]) ).
tff(c_76,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_30002,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29990,c_76]) ).
tff(c_78,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_30052,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29990,c_78]) ).
tff(c_30287,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30052,c_30239]) ).
tff(c_30330,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_30002,c_30287]) ).
tff(c_30431,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30324,c_2,c_30324,c_30330]) ).
tff(c_30432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30338,c_30431]) ).
tff(c_30434,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_30149]) ).
tff(c_30442,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30434,c_30144]) ).
tff(c_30035,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30031,c_4]) ).
tff(c_30446,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30442,c_30035]) ).
tff(c_30448,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30442,c_30031]) ).
tff(c_30443,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30442,c_30434]) ).
tff(c_31269,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_30443,c_31245]) ).
tff(c_31314,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30446,c_30448,c_31269]) ).
tff(c_30445,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30442,c_30052]) ).
tff(c_30006,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30002,c_4]) ).
tff(c_30112,plain,
! [Z_375] : ( multiply(sk_c6,multiply(sk_c5,Z_375)) = multiply(identity,Z_375) ),
inference(superposition,[status(thm),theory(equality)],[c_30006,c_30082]) ).
tff(c_31228,plain,
! [Z_399] : ( multiply(sk_c6,multiply(sk_c5,Z_399)) = Z_399 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30112]) ).
tff(c_31240,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_30445,c_31228]) ).
tff(c_31244,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30446,c_31240]) ).
tff(c_30512,plain,
! [Z_383] : ( multiply(sk_c6,multiply(sk_c5,Z_383)) = Z_383 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30112]) ).
tff(c_30524,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_30445,c_30512]) ).
tff(c_30528,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30446,c_30524]) ).
tff(c_30585,plain,
! [X_385,Z_386] : ( multiply(inverse(X_385),multiply(X_385,Z_386)) = Z_386 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30118]) ).
tff(c_30830,plain,
! [X_389,Z_390] : ( multiply(inverse(inverse(X_389)),Z_390) = multiply(X_389,Z_390) ),
inference(superposition,[status(thm),theory(equality)],[c_30130,c_30585]) ).
tff(c_30618,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30585]) ).
tff(c_30837,plain,
! [X_389] : ( multiply(X_389,identity) = X_389 ),
inference(superposition,[status(thm),theory(equality)],[c_30830,c_30618]) ).
tff(c_30433,plain,
! [X4_10,X1_8,X2_9,X5_6] :
( ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_30149]) ).
tff(c_30501,plain,
! [X4_10,X1_8,X2_9,X5_6] :
( ( inverse(X4_10) != sk_c6 )
| ( multiply(sk_c6,multiply(X4_10,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30442,c_30442,c_30442,c_30442,c_30442,c_30442,c_30443,c_30442,c_30433]) ).
tff(c_30502,plain,
! [X5_6] :
( ( multiply(X5_6,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_30501]) ).
tff(c_31215,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_30528,c_30837,c_30528,c_30528,c_30502]) ).
tff(c_30552,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30528,c_30528,c_30448]) ).
tff(c_31217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31215,c_30552]) ).
tff(c_31218,plain,
! [X2_9,X1_8,X4_10] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(sk_c6,multiply(X4_10,sk_c6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_30501]) ).
tff(c_39444,plain,
! [X2_9,X1_8,X4_10] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31577,c_31314,c_31244,c_2,c_31244,c_31244,c_31577,c_31314,c_31244,c_31244,c_31577,c_31314,c_31244,c_31314,c_31218]) ).
tff(c_39446,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_39444]) ).
tff(c_31326,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31244,c_31244,c_30448]) ).
tff(c_39448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39446,c_31326]) ).
tff(c_39449,plain,
! [X1_8,X2_9] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(splitRight,[status(thm)],[c_39444]) ).
tff(c_39451,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_39449]) ).
tff(c_39453,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39451,c_31326]) ).
tff(c_39852,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_39449]) ).
tff(c_39854,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39852,c_31326]) ).
tff(c_39855,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_39899,plain,
! [X_496,Y_497,Z_498] : ( multiply(multiply(X_496,Y_497),Z_498) = multiply(X_496,multiply(Y_497,Z_498)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_39929,plain,
! [Z_498] : ( multiply(sk_c7,multiply(sk_c4,Z_498)) = multiply(identity,Z_498) ),
inference(superposition,[status(thm),theory(equality)],[c_29994,c_39899]) ).
tff(c_39992,plain,
! [Z_501] : ( multiply(sk_c7,multiply(sk_c4,Z_501)) = Z_501 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39929]) ).
tff(c_40004,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_39855,c_39992]) ).
tff(c_39932,plain,
! [X_2,Z_498] : ( multiply(inverse(X_2),multiply(X_2,Z_498)) = multiply(identity,Z_498) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39899]) ).
tff(c_40015,plain,
! [X_502,Z_503] : ( multiply(inverse(X_502),multiply(X_502,Z_503)) = Z_503 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39932]) ).
tff(c_40033,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_40004,c_40015]) ).
tff(c_40088,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40033]) ).
tff(c_39856,plain,
inverse(sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_39863,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_39856,c_30]) ).
tff(c_39926,plain,
! [Z_498] : ( multiply(sk_c6,multiply(sk_c5,Z_498)) = multiply(identity,Z_498) ),
inference(superposition,[status(thm),theory(equality)],[c_30006,c_39899]) ).
tff(c_39968,plain,
! [Z_500] : ( multiply(sk_c6,multiply(sk_c5,Z_500)) = Z_500 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39926]) ).
tff(c_39980,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_39863,c_39968]) ).
tff(c_40133,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_40088,c_40088,c_39980]) ).
tff(c_40140,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40133]) ).
tff(c_40137,plain,
inverse(sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40088,c_39856]) ).
tff(c_40162,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40140,c_40137]) ).
tff(c_39868,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_39856,c_20]) ).
tff(c_39923,plain,
! [Z_498] : ( multiply(sk_c8,multiply(sk_c3,Z_498)) = multiply(identity,Z_498) ),
inference(superposition,[status(thm),theory(equality)],[c_30014,c_39899]) ).
tff(c_39945,plain,
! [Z_499] : ( multiply(sk_c8,multiply(sk_c3,Z_499)) = Z_499 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39923]) ).
tff(c_39957,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_39868,c_39945]) ).
tff(c_40045,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_39957,c_40015]) ).
tff(c_40089,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40045]) ).
tff(c_40149,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40089,c_29989]) ).
tff(c_40196,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40149,c_4]) ).
tff(c_39943,plain,
! [X_2,Z_498] : ( multiply(inverse(X_2),multiply(X_2,Z_498)) = Z_498 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39932]) ).
tff(c_40214,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_40196,c_39943]) ).
tff(c_40226,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40214]) ).
tff(c_40230,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40226,c_40149]) ).
tff(c_40233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40162,c_40230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP308-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:16:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 13.62/4.90 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.71/4.96
% 13.71/4.96 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.71/5.04
% 13.71/5.04 Inference rules
% 13.71/5.04 ----------------------
% 13.71/5.04 #Ref : 0
% 13.71/5.04 #Sup : 9929
% 13.71/5.04 #Fact : 0
% 13.71/5.04 #Define : 0
% 13.71/5.04 #Split : 35
% 13.71/5.04 #Chain : 0
% 13.71/5.04 #Close : 0
% 13.71/5.04
% 13.71/5.04 Ordering : KBO
% 13.71/5.04
% 13.71/5.04 Simplification rules
% 13.71/5.04 ----------------------
% 13.71/5.04 #Subsume : 17
% 13.71/5.04 #Demod : 23397
% 13.71/5.04 #Tautology : 8044
% 13.71/5.04 #SimpNegUnit : 129
% 13.71/5.04 #BackRed : 589
% 13.71/5.04
% 13.71/5.04 #Partial instantiations: 0
% 13.71/5.04 #Strategies tried : 1
% 13.71/5.04
% 13.71/5.04 Timing (in seconds)
% 13.71/5.04 ----------------------
% 13.71/5.04 Preprocessing : 0.54
% 13.71/5.04 Parsing : 0.22
% 13.71/5.04 CNF conversion : 0.03
% 13.71/5.04 Main loop : 3.26
% 13.71/5.04 Inferencing : 0.97
% 13.71/5.04 Reduction : 1.66
% 13.71/5.04 Demodulation : 1.48
% 13.71/5.04 BG Simplification : 0.10
% 13.71/5.05 Subsumption : 0.33
% 13.71/5.05 Abstraction : 0.19
% 13.71/5.05 MUC search : 0.00
% 13.71/5.05 Cooper : 0.00
% 13.71/5.05 Total : 3.96
% 13.71/5.05 Index Insertion : 0.00
% 13.71/5.05 Index Deletion : 0.00
% 13.71/5.05 Index Matching : 0.00
% 13.71/5.05 BG Taut test : 0.00
%------------------------------------------------------------------------------