TSTP Solution File: GRP259-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP259-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n024.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 10:40:41 EDT 2023
% Result : Unsatisfiable 18.92s 9.57s
% Output : CNFRefutation 19.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 44
% Syntax : Number of formulae : 655 ( 548 unt; 11 typ; 0 def)
% Number of atoms : 933 ( 898 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 616 ( 327 ~; 289 |; 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 : 355 (; 355 !; 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_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(X3,sk_c8) != sk_c7 )
| ( inverse(X3) != sk_c8 )
| ( multiply(X4,sk_c7) != sk_c6 )
| ( inverse(X4) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(X5,sk_c6) != sk_c8 )
| ( inverse(X5) != sk_c6 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( inverse(X2) != sk_c7 )
| ( multiply(X2,sk_c6) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_18519,plain,
! [X_274,Y_275,Z_276] : ( multiply(multiply(X_274,Y_275),Z_276) = multiply(X_274,multiply(Y_275,Z_276)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18555,plain,
! [X_2,Z_276] : ( multiply(inverse(X_2),multiply(X_2,Z_276)) = multiply(identity,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18519]) ).
tff(c_20223,plain,
! [X_310,Z_311] : ( multiply(inverse(X_310),multiply(X_310,Z_311)) = Z_311 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18555]) ).
tff(c_18567,plain,
! [X_2,Z_276] : ( multiply(inverse(X_2),multiply(X_2,Z_276)) = Z_276 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18555]) ).
tff(c_20618,plain,
! [X_315,Z_316] : ( multiply(inverse(inverse(X_315)),Z_316) = multiply(X_315,Z_316) ),
inference(superposition,[status(thm),theory(equality)],[c_20223,c_18567]) ).
tff(c_20289,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20223]) ).
tff(c_20625,plain,
! [X_315] : ( multiply(X_315,identity) = X_315 ),
inference(superposition,[status(thm),theory(equality)],[c_20618,c_20289]) ).
tff(c_58,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_14425,plain,
multiply(sk_c3,sk_c6) = sk_c8,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_74,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_95,plain,
inverse(sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_99,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_95,c_4]) ).
tff(c_16430,plain,
! [X_235,Y_236,Z_237] : ( multiply(multiply(X_235,Y_236),Z_237) = multiply(X_235,multiply(Y_236,Z_237)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16469,plain,
! [Z_237] : ( multiply(sk_c6,multiply(sk_c3,Z_237)) = multiply(identity,Z_237) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_16430]) ).
tff(c_16502,plain,
! [Z_239] : ( multiply(sk_c6,multiply(sk_c3,Z_239)) = Z_239 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16469]) ).
tff(c_16514,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14425,c_16502]) ).
tff(c_16472,plain,
! [X_2,Z_237] : ( multiply(inverse(X_2),multiply(X_2,Z_237)) = multiply(identity,Z_237) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16430]) ).
tff(c_16603,plain,
! [X_243,Z_244] : ( multiply(inverse(X_243),multiply(X_243,Z_244)) = Z_244 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16472]) ).
tff(c_16639,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16514,c_16603]) ).
tff(c_16702,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16639]) ).
tff(c_16526,plain,
! [Z_240] : ( multiply(sk_c3,multiply(sk_c6,Z_240)) = multiply(sk_c8,Z_240) ),
inference(superposition,[status(thm),theory(equality)],[c_14425,c_16430]) ).
tff(c_16541,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_16514,c_16526]) ).
tff(c_16551,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_14425,c_16541]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_134,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_20,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_108,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_112,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_108,c_4]) ).
tff(c_13873,plain,
! [X_184,Y_185,Z_186] : ( multiply(multiply(X_184,Y_185),Z_186) = multiply(X_184,multiply(Y_185,Z_186)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13909,plain,
! [Z_186] : ( multiply(sk_c8,multiply(sk_c1,Z_186)) = multiply(identity,Z_186) ),
inference(superposition,[status(thm),theory(equality)],[c_112,c_13873]) ).
tff(c_13958,plain,
! [Z_189] : ( multiply(sk_c8,multiply(sk_c1,Z_189)) = Z_189 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13909]) ).
tff(c_13970,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_134,c_13958]) ).
tff(c_13915,plain,
! [X_2,Z_186] : ( multiply(inverse(X_2),multiply(X_2,Z_186)) = multiply(identity,Z_186) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13873]) ).
tff(c_14004,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_13915]) ).
tff(c_14028,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13970,c_14004]) ).
tff(c_14092,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14028]) ).
tff(c_60,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_151,plain,
multiply(sk_c3,sk_c6) = sk_c8,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_11909,plain,
! [X_147,Y_148,Z_149] : ( multiply(multiply(X_147,Y_148),Z_149) = multiply(X_147,multiply(Y_148,Z_149)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11954,plain,
! [Z_149] : ( multiply(sk_c6,multiply(sk_c3,Z_149)) = multiply(identity,Z_149) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_11909]) ).
tff(c_12008,plain,
! [Z_152] : ( multiply(sk_c6,multiply(sk_c3,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11954]) ).
tff(c_12020,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_151,c_12008]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_145,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_12116,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12020,c_145]) ).
tff(c_11951,plain,
! [Z_149] : ( multiply(sk_c8,multiply(sk_c1,Z_149)) = multiply(identity,Z_149) ),
inference(superposition,[status(thm),theory(equality)],[c_112,c_11909]) ).
tff(c_11985,plain,
! [Z_151] : ( multiply(sk_c8,multiply(sk_c1,Z_151)) = Z_151 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11951]) ).
tff(c_11997,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_134,c_11985]) ).
tff(c_12124,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12116,c_11997]) ).
tff(c_11957,plain,
! [X_2,Z_149] : ( multiply(inverse(X_2),multiply(X_2,Z_149)) = multiply(identity,Z_149) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11909]) ).
tff(c_12253,plain,
! [X_156,Z_157] : ( multiply(inverse(X_156),multiply(X_156,Z_157)) = Z_157 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11957]) ).
tff(c_12292,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12124,c_12253]) ).
tff(c_12350,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12292]) ).
tff(c_44,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_121,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_12134,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12116,c_121]) ).
tff(c_12143,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12134,c_4]) ).
tff(c_12381,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12350,c_12143]) ).
tff(c_11970,plain,
! [X_2,Z_149] : ( multiply(inverse(X_2),multiply(X_2,Z_149)) = Z_149 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11957]) ).
tff(c_12623,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_12381,c_11970]) ).
tff(c_12635,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12623]) ).
tff(c_179,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_215,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_179]) ).
tff(c_226,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_215]) ).
tff(c_1142,plain,
! [X_35,Z_36] : ( multiply(inverse(X_35),multiply(X_35,Z_36)) = Z_36 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_215]) ).
tff(c_1457,plain,
! [X_40,Z_41] : ( multiply(inverse(inverse(X_40)),Z_41) = multiply(X_40,Z_41) ),
inference(superposition,[status(thm),theory(equality)],[c_226,c_1142]) ).
tff(c_1205,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1142]) ).
tff(c_1468,plain,
! [X_40] : ( multiply(X_40,identity) = X_40 ),
inference(superposition,[status(thm),theory(equality)],[c_1457,c_1205]) ).
tff(c_212,plain,
! [Z_15] : ( multiply(sk_c6,multiply(sk_c3,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_179]) ).
tff(c_304,plain,
! [Z_18] : ( multiply(sk_c6,multiply(sk_c3,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_212]) ).
tff(c_316,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_151,c_304]) ).
tff(c_320,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_316,c_145]) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_159,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_125,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_121,c_4]) ).
tff(c_206,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_179]) ).
tff(c_228,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_206]) ).
tff(c_240,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_159,c_228]) ).
tff(c_354,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_320,c_320,c_240]) ).
tff(c_1163,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_354,c_1142]) ).
tff(c_1213,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1163]) ).
tff(c_1181,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_316,c_1142]) ).
tff(c_1217,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1181]) ).
tff(c_494,plain,
! [X_23,Z_24] : ( multiply(inverse(X_23),multiply(X_23,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_215]) ).
tff(c_524,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_354,c_494]) ).
tff(c_573,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_524]) ).
tff(c_859,plain,
! [X_28,Z_29] : ( multiply(inverse(inverse(X_28)),Z_29) = multiply(X_28,Z_29) ),
inference(superposition,[status(thm),theory(equality)],[c_494,c_226]) ).
tff(c_563,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_494]) ).
tff(c_866,plain,
! [X_28] : ( multiply(X_28,identity) = X_28 ),
inference(superposition,[status(thm),theory(equality)],[c_859,c_563]) ).
tff(c_254,plain,
! [Z_17] : ( multiply(sk_c6,multiply(sk_c3,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_212]) ).
tff(c_266,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_151,c_254]) ).
tff(c_270,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_266,c_145]) ).
tff(c_78,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_245,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145,c_78]) ).
tff(c_246,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_245]) ).
tff(c_279,plain,
multiply(sk_c6,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_270,c_246]) ).
tff(c_287,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_266,c_279]) ).
tff(c_288,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_245]) ).
tff(c_398,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_320,c_320,c_320,c_320,c_320,c_320,c_288]) ).
tff(c_399,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_398]) ).
tff(c_1120,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_573,c_866,c_573,c_573,c_399]) ).
tff(c_539,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_316,c_494]) ).
tff(c_577,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_539]) ).
tff(c_588,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_577,c_112]) ).
tff(c_722,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_588,c_2]) ).
tff(c_589,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_577,c_108]) ).
tff(c_733,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_722,c_589]) ).
tff(c_1122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1120,c_733]) ).
tff(c_1123,plain,
! [X1_8,X5_6,X4_10,X3_7] :
( ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_398]) ).
tff(c_8720,plain,
! [X1_8,X5_6,X4_10,X3_7] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1468,c_1213,c_1217,c_1217,c_1468,c_1213,c_1213,c_1213,c_1468,c_1213,c_1217,c_1213,c_1217,c_1468,c_1213,c_1217,c_1123]) ).
tff(c_8722,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8720]) ).
tff(c_360,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_320,c_121]) ).
tff(c_369,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_360,c_4]) ).
tff(c_1250,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1213,c_369]) ).
tff(c_1236,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1213,c_360]) ).
tff(c_1276,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1250,c_1236]) ).
tff(c_8724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8722,c_1276]) ).
tff(c_8725,plain,
! [X4_10,X5_6,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(splitRight,[status(thm)],[c_8720]) ).
tff(c_11297,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8725]) ).
tff(c_11299,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11297,c_1276]) ).
tff(c_11300,plain,
! [X5_6,X4_10] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 ) ),
inference(splitRight,[status(thm)],[c_8725]) ).
tff(c_11302,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_11300]) ).
tff(c_11304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11302,c_1276]) ).
tff(c_11855,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_11300]) ).
tff(c_11857,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11855,c_1276]) ).
tff(c_11859,plain,
multiply(sk_c2,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_12130,plain,
multiply(sk_c2,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12116,c_11859]) ).
tff(c_12379,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12350,c_12350,c_12130]) ).
tff(c_12692,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12635,c_12379]) ).
tff(c_12694,plain,
multiply(sk_c3,sk_c6) != sk_c8,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_66,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_12747,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12694,c_66]) ).
tff(c_64,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_12710,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12694,c_64]) ).
tff(c_12714,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12710,c_4]) ).
tff(c_12752,plain,
! [X_159,Y_160,Z_161] : ( multiply(multiply(X_159,Y_160),Z_161) = multiply(X_159,multiply(Y_160,Z_161)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12776,plain,
! [Z_161] : ( multiply(sk_c7,multiply(sk_c5,Z_161)) = multiply(identity,Z_161) ),
inference(superposition,[status(thm),theory(equality)],[c_12714,c_12752]) ).
tff(c_13012,plain,
! [Z_170] : ( multiply(sk_c7,multiply(sk_c5,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12776]) ).
tff(c_13024,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12747,c_13012]) ).
tff(c_12794,plain,
! [Z_161] : ( multiply(sk_c8,multiply(sk_c1,Z_161)) = multiply(identity,Z_161) ),
inference(superposition,[status(thm),theory(equality)],[c_112,c_12752]) ).
tff(c_12932,plain,
! [Z_167] : ( multiply(sk_c8,multiply(sk_c1,Z_167)) = Z_167 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12794]) ).
tff(c_12944,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_134,c_12932]) ).
tff(c_12968,plain,
! [Z_169] : ( multiply(sk_c1,multiply(sk_c8,Z_169)) = multiply(sk_c7,Z_169) ),
inference(superposition,[status(thm),theory(equality)],[c_134,c_12752]) ).
tff(c_12983,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_12944,c_12968]) ).
tff(c_12996,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_134,c_12983]) ).
tff(c_13028,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13024,c_12996]) ).
tff(c_13036,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13028,c_13028,c_13024]) ).
tff(c_12800,plain,
! [X_2,Z_161] : ( multiply(inverse(X_2),multiply(X_2,Z_161)) = multiply(identity,Z_161) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12752]) ).
tff(c_13121,plain,
! [X_171,Z_172] : ( multiply(inverse(X_171),multiply(X_171,Z_172)) = Z_172 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12800]) ).
tff(c_13139,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13036,c_13121]) ).
tff(c_13197,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13139]) ).
tff(c_13214,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13197,c_99]) ).
tff(c_12813,plain,
! [X_2,Z_161] : ( multiply(inverse(X_2),multiply(X_2,Z_161)) = Z_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12800]) ).
tff(c_13428,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_13214,c_12813]) ).
tff(c_13440,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13428]) ).
tff(c_13049,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13028,c_145]) ).
tff(c_13154,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13049,c_13121]) ).
tff(c_13200,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13154]) ).
tff(c_13213,plain,
multiply(sk_c3,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_13197,c_12694]) ).
tff(c_13390,plain,
multiply(sk_c3,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13200,c_13213]) ).
tff(c_13444,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13440,c_13390]) ).
tff(c_13449,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13444]) ).
tff(c_13450,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_13451,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_13856,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13451,c_56]) ).
tff(c_14043,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13856,c_14004]) ).
tff(c_14093,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13450,c_14043]) ).
tff(c_14175,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14092,c_2,c_14092,c_14093]) ).
tff(c_14107,plain,
multiply(sk_c6,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14092,c_13451]) ).
tff(c_14321,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14175,c_14107]) ).
tff(c_48,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_13846,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13451,c_48]) ).
tff(c_14105,plain,
multiply(identity,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14092,c_13846]) ).
tff(c_14366,plain,
multiply(identity,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14175,c_14105]) ).
tff(c_13928,plain,
! [X_2,Z_186] : ( multiply(inverse(X_2),multiply(X_2,Z_186)) = Z_186 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13915]) ).
tff(c_14370,plain,
multiply(inverse(identity),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14366,c_13928]) ).
tff(c_14382,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14370]) ).
tff(c_14384,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14321,c_14382]) ).
tff(c_14385,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_16400,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_15354,plain,
! [X_216,Y_217,Z_218] : ( multiply(multiply(X_216,Y_217),Z_218) = multiply(X_216,multiply(Y_217,Z_218)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15396,plain,
! [Z_218] : ( multiply(sk_c6,multiply(sk_c3,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_15354]) ).
tff(c_15945,plain,
! [Z_228] : ( multiply(sk_c6,multiply(sk_c3,Z_228)) = Z_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15396]) ).
tff(c_15957,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14425,c_15945]) ).
tff(c_15399,plain,
! [X_2,Z_218] : ( multiply(inverse(X_2),multiply(X_2,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15354]) ).
tff(c_16091,plain,
! [X_232,Z_233] : ( multiply(inverse(X_232),multiply(X_232,Z_233)) = Z_233 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15399]) ).
tff(c_16136,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15957,c_16091]) ).
tff(c_16177,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16136]) ).
tff(c_16185,plain,
multiply(sk_c3,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16177,c_14425]) ).
tff(c_15330,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_15961,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15957,c_15330]) ).
tff(c_14942,plain,
! [X_205,Y_206,Z_207] : ( multiply(multiply(X_205,Y_206),Z_207) = multiply(X_205,multiply(Y_206,Z_207)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14984,plain,
! [Z_207] : ( multiply(sk_c6,multiply(sk_c3,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_14942]) ).
tff(c_15027,plain,
! [Z_209] : ( multiply(sk_c6,multiply(sk_c3,Z_209)) = Z_209 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14984]) ).
tff(c_15039,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14425,c_15027]) ).
tff(c_14987,plain,
! [X_2,Z_207] : ( multiply(inverse(X_2),multiply(X_2,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14942]) ).
tff(c_15128,plain,
! [X_213,Z_214] : ( multiply(inverse(X_213),multiply(X_213,Z_214)) = Z_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14987]) ).
tff(c_15164,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15039,c_15128]) ).
tff(c_15233,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15164]) ).
tff(c_15051,plain,
! [Z_210] : ( multiply(sk_c3,multiply(sk_c6,Z_210)) = multiply(sk_c8,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_14425,c_14942]) ).
tff(c_15066,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_15039,c_15051]) ).
tff(c_15076,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_14425,c_15066]) ).
tff(c_14915,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_14462,plain,
! [X_195,Y_196,Z_197] : ( multiply(multiply(X_195,Y_196),Z_197) = multiply(X_195,multiply(Y_196,Z_197)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14507,plain,
! [Z_197] : ( multiply(sk_c6,multiply(sk_c3,Z_197)) = multiply(identity,Z_197) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_14462]) ).
tff(c_14561,plain,
! [Z_200] : ( multiply(sk_c6,multiply(sk_c3,Z_200)) = Z_200 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14507]) ).
tff(c_14573,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14425,c_14561]) ).
tff(c_14510,plain,
! [X_2,Z_197] : ( multiply(inverse(X_2),multiply(X_2,Z_197)) = multiply(identity,Z_197) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14462]) ).
tff(c_14668,plain,
! [X_202,Z_203] : ( multiply(inverse(X_202),multiply(X_202,Z_203)) = Z_203 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14510]) ).
tff(c_14701,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14573,c_14668]) ).
tff(c_14743,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14701]) ).
tff(c_14752,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14743,c_112]) ).
tff(c_14523,plain,
! [X_2,Z_197] : ( multiply(inverse(X_2),multiply(X_2,Z_197)) = Z_197 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14510]) ).
tff(c_14887,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_14752,c_14523]) ).
tff(c_14899,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14887]) ).
tff(c_14751,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14743,c_14385]) ).
tff(c_14436,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_14577,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14573,c_14436]) ).
tff(c_14386,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_14454,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14386,c_12]) ).
tff(c_14593,plain,
multiply(sk_c4,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_14577,c_14454]) ).
tff(c_14779,plain,
multiply(sk_c4,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14743,c_14593]) ).
tff(c_14783,plain,
multiply(inverse(sk_c4),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14779,c_14523]) ).
tff(c_14789,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14751,c_14783]) ).
tff(c_14599,plain,
multiply(sk_c1,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14577,c_14386]) ).
tff(c_14859,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14789,c_14743,c_14599]) ).
tff(c_14903,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14899,c_14859]) ).
tff(c_14908,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14903]) ).
tff(c_14910,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_14921,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14915,c_14910]) ).
tff(c_14922,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_15182,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14922,c_15128]) ).
tff(c_15236,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15076,c_14385,c_15182]) ).
tff(c_15275,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15233,c_15236]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_14431,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_14978,plain,
! [Z_207] : ( multiply(sk_c7,multiply(sk_c2,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_14942]) ).
tff(c_15002,plain,
! [Z_208] : ( multiply(sk_c7,multiply(sk_c2,Z_208)) = Z_208 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14978]) ).
tff(c_15014,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14431,c_15002]) ).
tff(c_15170,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15014,c_15128]) ).
tff(c_15234,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15170]) ).
tff(c_15043,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15039,c_14910]) ).
tff(c_15264,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15234,c_15043]) ).
tff(c_15323,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15275,c_15264]) ).
tff(c_15324,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_15993,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15961,c_15324]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_14403,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14386,c_14]) ).
tff(c_14407,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14403,c_4]) ).
tff(c_15384,plain,
! [Z_218] : ( multiply(sk_c7,multiply(sk_c5,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_14407,c_15354]) ).
tff(c_15407,plain,
! [Z_218] : ( multiply(sk_c7,multiply(sk_c5,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15384]) ).
tff(c_16075,plain,
! [Z_231] : ( multiply(sk_c6,multiply(sk_c5,Z_231)) = Z_231 ),
inference(demodulation,[status(thm),theory(equality)],[c_15961,c_15407]) ).
tff(c_16087,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15993,c_16075]) ).
tff(c_15381,plain,
! [Z_218] : ( multiply(sk_c3,multiply(sk_c6,Z_218)) = multiply(sk_c8,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_14425,c_15354]) ).
tff(c_16270,plain,
! [Z_218] : ( multiply(sk_c3,multiply(sk_c6,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16177,c_15381]) ).
tff(c_16326,plain,
multiply(sk_c3,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16087,c_16270]) ).
tff(c_16335,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16185,c_16326]) ).
tff(c_15412,plain,
! [X_2,Z_218] : ( multiply(inverse(X_2),multiply(X_2,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15399]) ).
tff(c_15969,plain,
! [Z_229] : ( multiply(sk_c6,multiply(sk_c8,Z_229)) = multiply(sk_c7,Z_229) ),
inference(superposition,[status(thm),theory(equality)],[c_15330,c_15354]) ).
tff(c_15984,plain,
multiply(sk_c7,sk_c1) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_112,c_15969]) ).
tff(c_16065,plain,
multiply(sk_c6,sk_c1) = multiply(sk_c6,identity),
inference(demodulation,[status(thm),theory(equality)],[c_15961,c_15984]) ).
tff(c_16112,plain,
multiply(inverse(sk_c6),multiply(sk_c6,identity)) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_16065,c_16091]) ).
tff(c_16173,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15412,c_16112]) ).
tff(c_15996,plain,
multiply(sk_c1,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15961,c_14386]) ).
tff(c_16182,plain,
multiply(sk_c1,identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16177,c_15996]) ).
tff(c_16397,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16335,c_2,c_16173,c_16182]) ).
tff(c_16399,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_16406,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16400,c_16399]) ).
tff(c_16407,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_16651,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16407,c_16603]) ).
tff(c_16703,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16551,c_14385,c_16651]) ).
tff(c_16730,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16702,c_16703]) ).
tff(c_16457,plain,
! [Z_237] : ( multiply(sk_c7,multiply(sk_c5,Z_237)) = multiply(identity,Z_237) ),
inference(superposition,[status(thm),theory(equality)],[c_14407,c_16430]) ).
tff(c_16580,plain,
! [Z_242] : ( multiply(sk_c7,multiply(sk_c5,Z_242)) = Z_242 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16457]) ).
tff(c_16592,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15324,c_16580]) ).
tff(c_16731,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16730,c_16730,c_16592]) ).
tff(c_16741,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16731]) ).
tff(c_16518,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16514,c_16399]) ).
tff(c_16733,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16730,c_16518]) ).
tff(c_16790,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16741,c_16733]) ).
tff(c_16792,plain,
multiply(sk_c3,sk_c6) != sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_62,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_16802,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16792,c_62]) ).
tff(c_14390,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14385,c_4]) ).
tff(c_16819,plain,
! [X_246,Y_247,Z_248] : ( multiply(multiply(X_246,Y_247),Z_248) = multiply(X_246,multiply(Y_247,Z_248)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16846,plain,
! [Z_248] : ( multiply(sk_c8,multiply(sk_c4,Z_248)) = multiply(identity,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_14390,c_16819]) ).
tff(c_17491,plain,
! [Z_262] : ( multiply(sk_c8,multiply(sk_c4,Z_262)) = Z_262 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16846]) ).
tff(c_17503,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16802,c_17491]) ).
tff(c_16791,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_17703,plain,
! [Z_267] : ( multiply(sk_c4,multiply(sk_c7,Z_267)) = multiply(sk_c8,Z_267) ),
inference(superposition,[status(thm),theory(equality)],[c_16802,c_16819]) ).
tff(c_17730,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_16791,c_17703]) ).
tff(c_17741,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17503,c_17730]) ).
tff(c_16867,plain,
! [Z_248] : ( multiply(sk_c8,multiply(sk_c4,Z_248)) = Z_248 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16846]) ).
tff(c_17755,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17741,c_16867]) ).
tff(c_16797,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16792,c_66]) ).
tff(c_16843,plain,
! [Z_248] : ( multiply(sk_c7,multiply(sk_c5,Z_248)) = multiply(identity,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_14407,c_16819]) ).
tff(c_17674,plain,
! [Z_266] : ( multiply(sk_c7,multiply(sk_c5,Z_266)) = Z_266 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16843]) ).
tff(c_17692,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16797,c_17674]) ).
tff(c_16834,plain,
! [Z_248] : ( multiply(sk_c4,multiply(sk_c7,Z_248)) = multiply(sk_c8,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_16802,c_16819]) ).
tff(c_17745,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_17692,c_16834]) ).
tff(c_18103,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17741,c_17755,c_17745]) ).
tff(c_16940,plain,
! [Z_253] : ( multiply(sk_c8,multiply(sk_c4,Z_253)) = Z_253 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16846]) ).
tff(c_16955,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16802,c_16940]) ).
tff(c_16902,plain,
! [Z_251] : ( multiply(sk_c4,multiply(sk_c7,Z_251)) = multiply(sk_c8,Z_251) ),
inference(superposition,[status(thm),theory(equality)],[c_16802,c_16819]) ).
tff(c_16917,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_16791,c_16902]) ).
tff(c_16974,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16955,c_16917]) ).
tff(c_16978,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16974,c_16867]) ).
tff(c_16858,plain,
! [X_2,Z_248] : ( multiply(inverse(X_2),multiply(X_2,Z_248)) = multiply(identity,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16819]) ).
tff(c_16985,plain,
! [X_254,Z_255] : ( multiply(inverse(X_254),multiply(X_254,Z_255)) = Z_255 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16858]) ).
tff(c_17033,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16797,c_16985]) ).
tff(c_17079,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14403,c_17033]) ).
tff(c_17090,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_17079,c_16834]) ).
tff(c_17096,plain,
multiply(sk_c8,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16974,c_17090]) ).
tff(c_17108,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16978,c_17096]) ).
tff(c_17156,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17108,c_17108,c_17079]) ).
tff(c_16871,plain,
! [X_2,Z_248] : ( multiply(inverse(X_2),multiply(X_2,Z_248)) = Z_248 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16858]) ).
tff(c_17208,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17156,c_16871]) ).
tff(c_17214,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17208]) ).
tff(c_17164,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17108,c_16791]) ).
tff(c_17366,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17214,c_2,c_17214,c_17164]) ).
tff(c_16874,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16791,c_78]) ).
tff(c_16875,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_16874]) ).
tff(c_17161,plain,
multiply(sk_c6,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17108,c_16875]) ).
tff(c_17412,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17366,c_17214,c_2,c_17214,c_17161]) ).
tff(c_17414,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_16874]) ).
tff(c_17435,plain,
! [Z_259] : ( multiply(sk_c5,multiply(sk_c6,Z_259)) = multiply(sk_c7,Z_259) ),
inference(superposition,[status(thm),theory(equality)],[c_16797,c_16819]) ).
tff(c_17447,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_17414,c_17435]) ).
tff(c_17454,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16791,c_17447]) ).
tff(c_17686,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17454,c_17674]) ).
tff(c_18108,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18103,c_18103,c_17686]) ).
tff(c_18332,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18108,c_16871]) ).
tff(c_18338,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18332]) ).
tff(c_18104,plain,
multiply(sk_c8,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18103,c_17755]) ).
tff(c_17718,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c4,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_17686,c_17703]) ).
tff(c_17740,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16802,c_17718]) ).
tff(c_18197,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18104,c_17740]) ).
tff(c_18221,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18197,c_108]) ).
tff(c_18238,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18221,c_4]) ).
tff(c_18428,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18338,c_18238]) ).
tff(c_18121,plain,
multiply(sk_c1,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18103,c_14386]) ).
tff(c_18210,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18197,c_18121]) ).
tff(c_18452,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18428,c_18338,c_18338,c_18210]) ).
tff(c_18454,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_42,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_18480,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_18454,c_42]) ).
tff(c_40,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_18466,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_18454,c_40]) ).
tff(c_18470,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18466,c_4]) ).
tff(c_18543,plain,
! [Z_276] : ( multiply(sk_c8,multiply(sk_c4,Z_276)) = multiply(identity,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_18470,c_18519]) ).
tff(c_18595,plain,
! [Z_279] : ( multiply(sk_c8,multiply(sk_c4,Z_279)) = Z_279 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18543]) ).
tff(c_18607,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18480,c_18595]) ).
tff(c_38,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_18498,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_18454,c_38]) ).
tff(c_19404,plain,
! [Z_296] : ( multiply(sk_c4,multiply(sk_c7,Z_296)) = multiply(sk_c8,Z_296) ),
inference(superposition,[status(thm),theory(equality)],[c_18480,c_18519]) ).
tff(c_19422,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_18498,c_19404]) ).
tff(c_19429,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18607,c_19422]) ).
tff(c_18563,plain,
! [Z_276] : ( multiply(sk_c8,multiply(sk_c4,Z_276)) = Z_276 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18543]) ).
tff(c_19440,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_19429,c_18563]) ).
tff(c_46,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_18487,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18454,c_46]) ).
tff(c_18453,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_18458,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18453,c_4]) ).
tff(c_18546,plain,
! [Z_276] : ( multiply(sk_c7,multiply(sk_c5,Z_276)) = multiply(identity,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_18458,c_18519]) ).
tff(c_18618,plain,
! [Z_280] : ( multiply(sk_c7,multiply(sk_c5,Z_280)) = Z_280 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18546]) ).
tff(c_18630,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18487,c_18618]) ).
tff(c_18540,plain,
! [Z_276] : ( multiply(sk_c4,multiply(sk_c7,Z_276)) = multiply(sk_c8,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_18480,c_18519]) ).
tff(c_19450,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_18630,c_18540]) ).
tff(c_19456,plain,
multiply(sk_c8,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19429,c_19450]) ).
tff(c_19465,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19440,c_19456]) ).
tff(c_19473,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19465,c_18498]) ).
tff(c_20244,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19473,c_20223]) ).
tff(c_20297,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20244]) ).
tff(c_19472,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19465,c_18607]) ).
tff(c_20303,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20297,c_20297,c_19472]) ).
tff(c_20310,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20303]) ).
tff(c_19467,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19465,c_19465,c_18630]) ).
tff(c_19552,plain,
! [X_297,Z_298] : ( multiply(inverse(X_297),multiply(X_297,Z_298)) = Z_298 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18555]) ).
tff(c_19582,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_19467,c_19552]) ).
tff(c_19608,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19582]) ).
tff(c_19782,plain,
! [X_300,Z_301] : ( multiply(inverse(inverse(X_300)),Z_301) = multiply(X_300,Z_301) ),
inference(superposition,[status(thm),theory(equality)],[c_18567,c_19552]) ).
tff(c_19600,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19552]) ).
tff(c_19789,plain,
! [X_300] : ( multiply(X_300,identity) = X_300 ),
inference(superposition,[status(thm),theory(equality)],[c_19782,c_19600]) ).
tff(c_18644,plain,
! [X_281,Z_282] : ( multiply(inverse(X_281),multiply(X_281,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18555]) ).
tff(c_18662,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18630,c_18644]) ).
tff(c_18683,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18498,c_18644]) ).
tff(c_18922,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18662,c_18683]) ).
tff(c_18938,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18922,c_18922,c_18607]) ).
tff(c_18944,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18630,c_18938]) ).
tff(c_18951,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18944,c_18944,c_18662]) ).
tff(c_18960,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18951]) ).
tff(c_18635,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18498,c_78]) ).
tff(c_18636,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_18635]) ).
tff(c_18937,plain,
multiply(sk_c6,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18922,c_18636]) ).
tff(c_19401,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18960,c_18937]) ).
tff(c_19402,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_18635]) ).
tff(c_19483,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19465,c_19465,c_19465,c_19465,c_19465,c_19465,c_19402]) ).
tff(c_19484,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_19483]) ).
tff(c_20172,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_19608,c_19789,c_19608,c_19608,c_19484]) ).
tff(c_19468,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19465,c_19429]) ).
tff(c_19475,plain,
multiply(sk_c4,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_19465,c_18480]) ).
tff(c_19517,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19468,c_19475]) ).
tff(c_19533,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19517,c_108]) ).
tff(c_19548,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19533,c_4]) ).
tff(c_19635,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19608,c_19548]) ).
tff(c_19610,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19608,c_19533]) ).
tff(c_19650,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19635,c_19610]) ).
tff(c_20174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20172,c_19650]) ).
tff(c_20175,plain,
! [X1_8,X5_6,X4_10,X3_7] :
( ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_19483]) ).
tff(c_41972,plain,
! [X1_8,X5_6,X4_10,X3_7] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20625,c_20310,c_20297,c_20297,c_20625,c_20310,c_20310,c_20310,c_20625,c_20310,c_20297,c_20310,c_20297,c_20625,c_20310,c_20297,c_20175]) ).
tff(c_41974,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_41972]) ).
tff(c_20307,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20297,c_18466]) ).
tff(c_20404,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20307,c_4]) ).
tff(c_20427,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_20404,c_18567]) ).
tff(c_20439,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20427]) ).
tff(c_20444,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20439,c_20307]) ).
tff(c_41976,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41974,c_20444]) ).
tff(c_41977,plain,
! [X4_10,X5_6,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(splitRight,[status(thm)],[c_41972]) ).
tff(c_50313,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_41977]) ).
tff(c_50315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50313,c_20444]) ).
tff(c_50316,plain,
! [X5_6,X4_10] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 ) ),
inference(splitRight,[status(thm)],[c_41977]) ).
tff(c_50318,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_50316]) ).
tff(c_50320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50318,c_20444]) ).
tff(c_50322,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_50316]) ).
tff(c_50324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50322,c_20444]) ).
tff(c_50326,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_26,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_50365,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_50326,c_26]) ).
tff(c_24,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_50338,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_50326,c_24]) ).
tff(c_50342,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50338,c_4]) ).
tff(c_50393,plain,
! [X_509,Y_510,Z_511] : ( multiply(multiply(X_509,Y_510),Z_511) = multiply(X_509,multiply(Y_510,Z_511)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_50417,plain,
! [Z_511] : ( multiply(sk_c7,multiply(sk_c5,Z_511)) = multiply(identity,Z_511) ),
inference(superposition,[status(thm),theory(equality)],[c_50342,c_50393]) ).
tff(c_50439,plain,
! [Z_512] : ( multiply(sk_c7,multiply(sk_c5,Z_512)) = Z_512 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50417]) ).
tff(c_50451,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_50365,c_50439]) ).
tff(c_22,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_50353,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_50326,c_22]) ).
tff(c_50325,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_50330,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50325,c_4]) ).
tff(c_50420,plain,
! [Z_511] : ( multiply(sk_c8,multiply(sk_c4,Z_511)) = multiply(identity,Z_511) ),
inference(superposition,[status(thm),theory(equality)],[c_50330,c_50393]) ).
tff(c_50465,plain,
! [Z_513] : ( multiply(sk_c8,multiply(sk_c4,Z_513)) = Z_513 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50420]) ).
tff(c_50477,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_50353,c_50465]) ).
tff(c_18,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_50359,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_50326,c_18]) ).
tff(c_50488,plain,
! [Z_514] : ( multiply(sk_c4,multiply(sk_c7,Z_514)) = multiply(sk_c8,Z_514) ),
inference(superposition,[status(thm),theory(equality)],[c_50353,c_50393]) ).
tff(c_50509,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_50359,c_50488]) ).
tff(c_50516,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_50509]) ).
tff(c_50435,plain,
! [Z_511] : ( multiply(sk_c8,multiply(sk_c4,Z_511)) = Z_511 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50420]) ).
tff(c_50520,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_50516,c_50435]) ).
tff(c_50503,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_50451,c_50488]) ).
tff(c_50555,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50520,c_50516,c_50503]) ).
tff(c_50561,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50555,c_50555,c_50451]) ).
tff(c_50426,plain,
! [X_2,Z_511] : ( multiply(inverse(X_2),multiply(X_2,Z_511)) = multiply(identity,Z_511) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_50393]) ).
tff(c_50437,plain,
! [X_2,Z_511] : ( multiply(inverse(X_2),multiply(X_2,Z_511)) = Z_511 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50426]) ).
tff(c_50683,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_50561,c_50437]) ).
tff(c_50689,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50683]) ).
tff(c_50564,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50555,c_50359]) ).
tff(c_50802,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50689,c_2,c_50689,c_50564]) ).
tff(c_50463,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50359,c_78]) ).
tff(c_50464,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_50463]) ).
tff(c_50560,plain,
multiply(sk_c6,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50555,c_50464]) ).
tff(c_50866,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50802,c_50689,c_2,c_50689,c_50560]) ).
tff(c_50868,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_50463]) ).
tff(c_51037,plain,
! [Z_525] : ( multiply(sk_c8,multiply(sk_c4,Z_525)) = Z_525 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50420]) ).
tff(c_51052,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_50353,c_51037]) ).
tff(c_50411,plain,
! [Z_511] : ( multiply(sk_c7,multiply(sk_c8,Z_511)) = multiply(sk_c6,Z_511) ),
inference(superposition,[status(thm),theory(equality)],[c_50359,c_50393]) ).
tff(c_51059,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_51052,c_50411]) ).
tff(c_51065,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50451,c_50868,c_51059]) ).
tff(c_51069,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_51065,c_50868]) ).
tff(c_51873,plain,
! [X_541,Z_542] : ( multiply(inverse(X_541),multiply(X_541,Z_542)) = Z_542 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50426]) ).
tff(c_51903,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_51069,c_51873]) ).
tff(c_51943,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51903]) ).
tff(c_52207,plain,
! [X_546,Z_547] : ( multiply(inverse(inverse(X_546)),Z_547) = multiply(X_546,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_50437,c_51873]) ).
tff(c_51933,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51873]) ).
tff(c_52214,plain,
! [X_546] : ( multiply(X_546,identity) = X_546 ),
inference(superposition,[status(thm),theory(equality)],[c_52207,c_51933]) ).
tff(c_51070,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_51065,c_51065,c_50451]) ).
tff(c_51891,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_51070,c_51873]) ).
tff(c_51940,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51891]) ).
tff(c_51148,plain,
! [X_526,Z_527] : ( multiply(inverse(X_526),multiply(X_526,Z_527)) = Z_527 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50426]) ).
tff(c_51447,plain,
! [X_531,Z_532] : ( multiply(inverse(inverse(X_531)),Z_532) = multiply(X_531,Z_532) ),
inference(superposition,[status(thm),theory(equality)],[c_50437,c_51148]) ).
tff(c_51211,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51148]) ).
tff(c_51454,plain,
! [X_531] : ( multiply(X_531,identity) = X_531 ),
inference(superposition,[status(thm),theory(equality)],[c_51447,c_51211]) ).
tff(c_51181,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_51069,c_51148]) ).
tff(c_51222,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51181]) ).
tff(c_51175,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_51070,c_51148]) ).
tff(c_51220,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51175]) ).
tff(c_50890,plain,
! [Z_520] : ( multiply(sk_c8,multiply(sk_c4,Z_520)) = Z_520 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50420]) ).
tff(c_50902,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_50353,c_50890]) ).
tff(c_50913,plain,
! [Z_521] : ( multiply(sk_c7,multiply(sk_c8,Z_521)) = multiply(sk_c6,Z_521) ),
inference(superposition,[status(thm),theory(equality)],[c_50359,c_50393]) ).
tff(c_50925,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_50902,c_50913]) ).
tff(c_50935,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50868,c_50451,c_50925]) ).
tff(c_50945,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50935,c_50338]) ).
tff(c_50941,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50935,c_50365]) ).
tff(c_50867,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_50463]) ).
tff(c_50876,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_50867]) ).
tff(c_50979,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50935,c_50935,c_50876]) ).
tff(c_50997,plain,
inverse(sk_c5) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_50941,c_50979]) ).
tff(c_51006,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50945,c_50997]) ).
tff(c_51007,plain,
! [X1_8,X5_6,X4_10,X3_7] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_50867]) ).
tff(c_51096,plain,
! [X1_8,X5_6,X4_10,X3_7] :
( ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51065,c_51065,c_51065,c_51065,c_51007]) ).
tff(c_51097,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_51096]) ).
tff(c_51828,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_51454,c_51222,c_51220,c_51222,c_51097]) ).
tff(c_51021,plain,
! [Z_524] : ( multiply(sk_c7,multiply(sk_c8,Z_524)) = multiply(sk_c6,Z_524) ),
inference(superposition,[status(thm),theory(equality)],[c_50359,c_50393]) ).
tff(c_51033,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_50330,c_51021]) ).
tff(c_51139,plain,
multiply(sk_c6,sk_c4) = multiply(sk_c6,identity),
inference(demodulation,[status(thm),theory(equality)],[c_51065,c_51033]) ).
tff(c_51166,plain,
multiply(inverse(sk_c6),multiply(sk_c6,identity)) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_51139,c_51148]) ).
tff(c_51218,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50437,c_51166]) ).
tff(c_51229,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_51218,c_50325]) ).
tff(c_51335,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51222,c_51229]) ).
tff(c_51830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51828,c_51335]) ).
tff(c_51831,plain,
! [X4_10,X5_6,X1_8] :
( ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_51096]) ).
tff(c_76888,plain,
! [X4_10,X5_6,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51943,c_52214,c_51943,c_51940,c_52214,c_51943,c_51940,c_51940,c_52214,c_51940,c_51940,c_51940,c_51831]) ).
tff(c_76890,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_76888]) ).
tff(c_51963,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51943,c_50330]) ).
tff(c_52074,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_51963,c_50437]) ).
tff(c_52086,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52074]) ).
tff(c_51965,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51943,c_50325]) ).
tff(c_52091,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52086,c_51965]) ).
tff(c_76892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76890,c_52091]) ).
tff(c_76893,plain,
! [X5_6,X4_10] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 ) ),
inference(splitRight,[status(thm)],[c_76888]) ).
tff(c_76895,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_76893]) ).
tff(c_76897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76895,c_52091]) ).
tff(c_78089,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_76893]) ).
tff(c_78091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78089,c_52091]) ).
tff(c_78093,plain,
inverse(sk_c3) != sk_c6,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_78152,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_78093,c_76]) ).
tff(c_78092,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_78097,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78092,c_4]) ).
tff(c_78184,plain,
! [X_727,Y_728,Z_729] : ( multiply(multiply(X_727,Y_728),Z_729) = multiply(X_727,multiply(Y_728,Z_729)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_78217,plain,
! [Z_729] : ( multiply(sk_c7,multiply(sk_c5,Z_729)) = multiply(identity,Z_729) ),
inference(superposition,[status(thm),theory(equality)],[c_78097,c_78184]) ).
tff(c_78260,plain,
! [Z_731] : ( multiply(sk_c7,multiply(sk_c5,Z_731)) = Z_731 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78217]) ).
tff(c_78272,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_78152,c_78260]) ).
tff(c_72,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_78157,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_78093,c_72]) ).
tff(c_70,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_78105,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_78093,c_70]) ).
tff(c_78109,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78105,c_4]) ).
tff(c_78214,plain,
! [Z_729] : ( multiply(sk_c8,multiply(sk_c4,Z_729)) = multiply(identity,Z_729) ),
inference(superposition,[status(thm),theory(equality)],[c_78109,c_78184]) ).
tff(c_78234,plain,
! [Z_730] : ( multiply(sk_c8,multiply(sk_c4,Z_730)) = Z_730 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78214]) ).
tff(c_78246,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_78157,c_78234]) ).
tff(c_68,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_78167,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_78093,c_68]) ).
tff(c_78424,plain,
! [Z_737] : ( multiply(sk_c7,multiply(sk_c8,Z_737)) = multiply(sk_c6,Z_737) ),
inference(superposition,[status(thm),theory(equality)],[c_78167,c_78184]) ).
tff(c_78442,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_78246,c_78424]) ).
tff(c_78455,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_78272,c_78442]) ).
tff(c_78251,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78167,c_78]) ).
tff(c_78252,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_78251]) ).
tff(c_78456,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_78455,c_78252]) ).
tff(c_78205,plain,
! [Z_729] : ( multiply(sk_c5,multiply(sk_c6,Z_729)) = multiply(sk_c7,Z_729) ),
inference(superposition,[status(thm),theory(equality)],[c_78152,c_78184]) ).
tff(c_78463,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_78455,c_78205]) ).
tff(c_78470,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_78167,c_78152,c_78463]) ).
tff(c_78526,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78456,c_78470]) ).
tff(c_78528,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_78251]) ).
tff(c_78543,plain,
! [Z_739] : ( multiply(sk_c7,multiply(sk_c5,Z_739)) = Z_739 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78217]) ).
tff(c_78555,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_78152,c_78543]) ).
tff(c_78614,plain,
! [Z_743] : ( multiply(sk_c7,multiply(sk_c8,Z_743)) = multiply(sk_c6,Z_743) ),
inference(superposition,[status(thm),theory(equality)],[c_78167,c_78184]) ).
tff(c_78626,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_78246,c_78614]) ).
tff(c_78639,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_78528,c_78555,c_78626]) ).
tff(c_78644,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_78639,c_78528]) ).
tff(c_78220,plain,
! [X_2,Z_729] : ( multiply(inverse(X_2),multiply(X_2,Z_729)) = multiply(identity,Z_729) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_78184]) ).
tff(c_79513,plain,
! [X_758,Z_759] : ( multiply(inverse(X_758),multiply(X_758,Z_759)) = Z_759 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78220]) ).
tff(c_79540,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_78644,c_79513]) ).
tff(c_79578,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_79540]) ).
tff(c_78232,plain,
! [X_2,Z_729] : ( multiply(inverse(X_2),multiply(X_2,Z_729)) = Z_729 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78220]) ).
tff(c_79784,plain,
! [X_761,Z_762] : ( multiply(inverse(inverse(X_761)),Z_762) = multiply(X_761,Z_762) ),
inference(superposition,[status(thm),theory(equality)],[c_79513,c_78232]) ).
tff(c_79570,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_79513]) ).
tff(c_79791,plain,
! [X_761] : ( multiply(X_761,identity) = X_761 ),
inference(superposition,[status(thm),theory(equality)],[c_79784,c_79570]) ).
tff(c_78641,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_78639,c_78639,c_78555]) ).
tff(c_79543,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_78641,c_79513]) ).
tff(c_79579,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_79543]) ).
tff(c_78730,plain,
! [X_744,Z_745] : ( multiply(inverse(X_744),multiply(X_744,Z_745)) = Z_745 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78220]) ).
tff(c_79092,plain,
! [X_748,Z_749] : ( multiply(inverse(inverse(X_748)),Z_749) = multiply(X_748,Z_749) ),
inference(superposition,[status(thm),theory(equality)],[c_78232,c_78730]) ).
tff(c_78793,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_78730]) ).
tff(c_79099,plain,
! [X_748] : ( multiply(X_748,identity) = X_748 ),
inference(superposition,[status(thm),theory(equality)],[c_79092,c_78793]) ).
tff(c_78766,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_78641,c_78730]) ).
tff(c_78803,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_78766]) ).
tff(c_78763,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_78644,c_78730]) ).
tff(c_78802,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_78763]) ).
tff(c_78527,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_78251]) ).
tff(c_78593,plain,
! [X2_742] :
( ( multiply(X2_742,sk_c6) != sk_c7 )
| ( inverse(X2_742) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_78527]) ).
tff(c_78600,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_78152,c_78593]) ).
tff(c_78612,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78092,c_78600]) ).
tff(c_78613,plain,
! [X1_8,X5_6,X4_10,X3_7] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_78527]) ).
tff(c_78684,plain,
! [X1_8,X5_6,X4_10,X3_7] :
( ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78639,c_78639,c_78639,c_78639,c_78613]) ).
tff(c_78685,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_78684]) ).
tff(c_79486,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_79099,c_78803,c_78802,c_78802,c_78685]) ).
tff(c_78651,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_78639,c_78092]) ).
tff(c_78823,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78803,c_78651]) ).
tff(c_78888,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78823,c_4]) ).
tff(c_78930,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_78888,c_78232]) ).
tff(c_78942,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_78930]) ).
tff(c_78946,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78942,c_78823]) ).
tff(c_79488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79486,c_78946]) ).
tff(c_79489,plain,
! [X4_10,X5_6,X1_8] :
( ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_78684]) ).
tff(c_102414,plain,
! [X4_10,X5_6,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79578,c_79791,c_79579,c_79578,c_79791,c_79579,c_79578,c_79579,c_79791,c_79579,c_79579,c_79579,c_79489]) ).
tff(c_102416,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_102414]) ).
tff(c_78659,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78651,c_4]) ).
tff(c_79606,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_79579,c_78659]) ).
tff(c_79597,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_79579,c_78651]) ).
tff(c_79625,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_79606,c_79597]) ).
tff(c_102418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102416,c_79625]) ).
tff(c_102419,plain,
! [X5_6,X4_10] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 ) ),
inference(splitRight,[status(thm)],[c_102414]) ).
tff(c_102421,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_102419]) ).
tff(c_102423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102421,c_79625]) ).
tff(c_103199,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_102419]) ).
tff(c_103201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103199,c_79625]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP259-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:19:30 EDT 2023
% 0.14/0.36 % CPUTime :
% 18.92/9.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.25/9.65
% 19.25/9.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.50/9.72
% 19.50/9.72 Inference rules
% 19.50/9.72 ----------------------
% 19.50/9.72 #Ref : 0
% 19.50/9.72 #Sup : 25121
% 19.50/9.72 #Fact : 0
% 19.50/9.72 #Define : 0
% 19.50/9.72 #Split : 51
% 19.50/9.72 #Chain : 0
% 19.50/9.72 #Close : 0
% 19.50/9.72
% 19.50/9.72 Ordering : KBO
% 19.50/9.72
% 19.50/9.72 Simplification rules
% 19.50/9.72 ----------------------
% 19.50/9.72 #Subsume : 7
% 19.50/9.72 #Demod : 78694
% 19.50/9.72 #Tautology : 20249
% 19.50/9.72 #SimpNegUnit : 80
% 19.50/9.72 #BackRed : 837
% 19.50/9.72
% 19.50/9.72 #Partial instantiations: 0
% 19.50/9.72 #Strategies tried : 1
% 19.50/9.72
% 19.50/9.72 Timing (in seconds)
% 19.50/9.72 ----------------------
% 19.50/9.72 Preprocessing : 0.58
% 19.50/9.72 Parsing : 0.21
% 19.50/9.72 CNF conversion : 0.04
% 19.50/9.72 Main loop : 7.97
% 19.50/9.72 Inferencing : 2.02
% 19.50/9.72 Reduction : 4.76
% 19.50/9.72 Demodulation : 4.42
% 19.50/9.72 BG Simplification : 0.17
% 19.50/9.72 Subsumption : 0.69
% 19.50/9.72 Abstraction : 0.48
% 19.50/9.72 MUC search : 0.00
% 19.50/9.72 Cooper : 0.00
% 19.50/9.72 Total : 8.71
% 19.50/9.72 Index Insertion : 0.00
% 19.50/9.72 Index Deletion : 0.00
% 19.50/9.72 Index Matching : 0.00
% 19.50/9.72 BG Taut test : 0.00
%------------------------------------------------------------------------------