TSTP Solution File: GRP295-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP295-1 : 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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:49 EDT 2023
% Result : Unsatisfiable 16.06s 6.89s
% Output : CNFRefutation 16.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 40
% Syntax : Number of formulae : 856 ( 738 unt; 10 typ; 0 def)
% Number of atoms : 1131 (1083 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 661 ( 376 ~; 285 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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 : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 377 (; 377 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > 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(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c5 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X3,X4,X1,X2] :
( ( multiply(sk_c7,sk_c6) != sk_c5 )
| ( multiply(X3,sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( multiply(X4,sk_c7) != sk_c5 )
| ( inverse(X4) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X1) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( inverse(X2) != sk_c6 )
| ( multiply(X2,sk_c5) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c5 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c5 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_52542,plain,
! [X_558,Y_559,Z_560] : ( multiply(multiply(X_558,Y_559),Z_560) = multiply(X_558,multiply(Y_559,Z_560)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_52572,plain,
! [X_2,Z_560] : ( multiply(inverse(X_2),multiply(X_2,Z_560)) = multiply(identity,Z_560) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_52542]) ).
tff(c_52582,plain,
! [X_2,Z_560] : ( multiply(inverse(X_2),multiply(X_2,Z_560)) = Z_560 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52572]) ).
tff(c_53950,plain,
! [X_588,Z_589] : ( multiply(inverse(X_588),multiply(X_588,Z_589)) = Z_589 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52572]) ).
tff(c_54205,plain,
! [X_592,Z_593] : ( multiply(inverse(inverse(X_592)),Z_593) = multiply(X_592,Z_593) ),
inference(superposition,[status(thm),theory(equality)],[c_52582,c_53950]) ).
tff(c_53992,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53950]) ).
tff(c_54212,plain,
! [X_592] : ( multiply(X_592,identity) = X_592 ),
inference(superposition,[status(thm),theory(equality)],[c_54205,c_53992]) ).
tff(c_18992,plain,
! [X_292,Y_293,Z_294] : ( multiply(multiply(X_292,Y_293),Z_294) = multiply(X_292,multiply(Y_293,Z_294)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19025,plain,
! [X_2,Z_294] : ( multiply(inverse(X_2),multiply(X_2,Z_294)) = multiply(identity,Z_294) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18992]) ).
tff(c_19959,plain,
! [X_313,Z_314] : ( multiply(inverse(X_313),multiply(X_313,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19025]) ).
tff(c_19036,plain,
! [X_2,Z_294] : ( multiply(inverse(X_2),multiply(X_2,Z_294)) = Z_294 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19025]) ).
tff(c_20413,plain,
! [X_320,Z_321] : ( multiply(inverse(inverse(X_320)),Z_321) = multiply(X_320,Z_321) ),
inference(superposition,[status(thm),theory(equality)],[c_19959,c_19036]) ).
tff(c_20034,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19959]) ).
tff(c_20420,plain,
! [X_320] : ( multiply(X_320,identity) = X_320 ),
inference(superposition,[status(thm),theory(equality)],[c_20413,c_20034]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_13752,plain,
multiply(sk_c2,sk_c7) = sk_c5,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_64,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_89,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_14197,plain,
! [X_185,Y_186,Z_187] : ( multiply(multiply(X_185,Y_186),Z_187) = multiply(X_185,multiply(Y_186,Z_187)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14236,plain,
! [Z_187] : ( multiply(sk_c7,multiply(sk_c2,Z_187)) = multiply(identity,Z_187) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_14197]) ).
tff(c_14266,plain,
! [Z_189] : ( multiply(sk_c7,multiply(sk_c2,Z_189)) = Z_189 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14236]) ).
tff(c_14278,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13752,c_14266]) ).
tff(c_14239,plain,
! [X_2,Z_187] : ( multiply(inverse(X_2),multiply(X_2,Z_187)) = multiply(identity,Z_187) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14197]) ).
tff(c_14413,plain,
! [X_193,Z_194] : ( multiply(inverse(X_193),multiply(X_193,Z_194)) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14239]) ).
tff(c_14458,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14278,c_14413]) ).
tff(c_14518,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14458]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_102,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_14331,plain,
! [Z_192] : ( multiply(sk_c2,multiply(sk_c7,Z_192)) = multiply(sk_c5,Z_192) ),
inference(superposition,[status(thm),theory(equality)],[c_13752,c_14197]) ).
tff(c_14364,plain,
multiply(sk_c5,sk_c1) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_102,c_14331]) ).
tff(c_14528,plain,
multiply(sk_c2,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_14518,c_14364]) ).
tff(c_14539,plain,
multiply(sk_c2,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14528]) ).
tff(c_14367,plain,
multiply(sk_c5,sk_c2) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_89,c_14331]) ).
tff(c_14527,plain,
multiply(sk_c2,identity) = multiply(identity,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_14518,c_14367]) ).
tff(c_14538,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14527]) ).
tff(c_14662,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14539,c_14538]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_111,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_14361,plain,
multiply(sk_c5,sk_c6) = multiply(sk_c2,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_111,c_14331]) ).
tff(c_14526,plain,
multiply(sk_c2,identity) = multiply(identity,sk_c6),
inference(demodulation,[status(thm),theory(equality)],[c_14518,c_14518,c_14361]) ).
tff(c_14537,plain,
multiply(sk_c2,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14526]) ).
tff(c_14637,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14538,c_14537]) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_13759,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_13806,plain,
! [X_179,Y_180,Z_181] : ( multiply(multiply(X_179,Y_180),Z_181) = multiply(X_179,multiply(Y_180,Z_181)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13845,plain,
! [Z_181] : ( multiply(sk_c7,multiply(sk_c1,Z_181)) = multiply(identity,Z_181) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_13806]) ).
tff(c_13865,plain,
! [Z_182] : ( multiply(sk_c7,multiply(sk_c1,Z_182)) = Z_182 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13845]) ).
tff(c_13877,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13759,c_13865]) ).
tff(c_13881,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_13877]) ).
tff(c_68,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_13906,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c5 )
| ( inverse(X1_8) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( multiply(sk_c5,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13881,c_13881,c_13881,c_13881,c_13881,c_13881,c_13881,c_13881,c_13881,c_68]) ).
tff(c_13907,plain,
multiply(sk_c5,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_13906]) ).
tff(c_13890,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13881,c_111]) ).
tff(c_13922,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13907,c_13890]) ).
tff(c_13924,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_13906]) ).
tff(c_13851,plain,
! [X_2,Z_181] : ( multiply(inverse(X_2),multiply(X_2,Z_181)) = multiply(identity,Z_181) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13806]) ).
tff(c_13863,plain,
! [X_2,Z_181] : ( multiply(inverse(X_2),multiply(X_2,Z_181)) = Z_181 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13851]) ).
tff(c_13999,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13924,c_13863]) ).
tff(c_14005,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13999]) ).
tff(c_12163,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_12205,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_12163]) ).
tff(c_13031,plain,
! [X_168,Z_169] : ( multiply(inverse(X_168),multiply(X_168,Z_169)) = Z_169 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12205]) ).
tff(c_13100,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_13031]) ).
tff(c_13106,plain,
multiply(inverse(sk_c7),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_13031]) ).
tff(c_13397,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13100,c_13106]) ).
tff(c_20,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_11633,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_11682,plain,
! [X_137,Y_138,Z_139] : ( multiply(multiply(X_137,Y_138),Z_139) = multiply(X_137,multiply(Y_138,Z_139)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11721,plain,
! [Z_139] : ( multiply(sk_c7,multiply(sk_c1,Z_139)) = multiply(identity,Z_139) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_11682]) ).
tff(c_11875,plain,
! [Z_144] : ( multiply(sk_c7,multiply(sk_c1,Z_144)) = Z_144 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11721]) ).
tff(c_11887,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11633,c_11875]) ).
tff(c_11891,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_11887]) ).
tff(c_11901,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11891,c_111]) ).
tff(c_11727,plain,
! [X_2,Z_139] : ( multiply(inverse(X_2),multiply(X_2,Z_139)) = multiply(identity,Z_139) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11682]) ).
tff(c_11971,plain,
! [X_145,Z_146] : ( multiply(inverse(X_145),multiply(X_145,Z_146)) = Z_146 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11727]) ).
tff(c_11995,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11901,c_11971]) ).
tff(c_12032,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11995]) ).
tff(c_40,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_117,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_122,plain,
multiply(sk_c2,sk_c7) = sk_c5,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_10874,plain,
! [X_126,Y_127,Z_128] : ( multiply(multiply(X_126,Y_127),Z_128) = multiply(X_126,multiply(Y_127,Z_128)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10916,plain,
! [Z_128] : ( multiply(sk_c7,multiply(sk_c2,Z_128)) = multiply(identity,Z_128) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_10874]) ).
tff(c_10946,plain,
! [Z_130] : ( multiply(sk_c7,multiply(sk_c2,Z_130)) = Z_130 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10916]) ).
tff(c_10958,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_122,c_10946]) ).
tff(c_10962,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_117,c_10958]) ).
tff(c_11088,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10962,c_117]) ).
tff(c_10919,plain,
! [X_2,Z_128] : ( multiply(inverse(X_2),multiply(X_2,Z_128)) = multiply(identity,Z_128) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10874]) ).
tff(c_11159,plain,
! [X_132,Z_133] : ( multiply(inverse(X_132),multiply(X_132,Z_133)) = Z_133 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10919]) ).
tff(c_11186,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11088,c_11159]) ).
tff(c_11221,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11186]) ).
tff(c_127,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_153,plain,
! [X_12,Y_13,Z_14] : ( multiply(multiply(X_12,Y_13),Z_14) = multiply(X_12,multiply(Y_13,Z_14)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_180,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_153]) ).
tff(c_198,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_180]) ).
tff(c_210,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_127,c_198]) ).
tff(c_214,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_210]) ).
tff(c_242,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c5 )
| ( inverse(X1_8) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( multiply(sk_c5,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_68]) ).
tff(c_243,plain,
multiply(sk_c5,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_242]) ).
tff(c_219,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_111]) ).
tff(c_251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_243,c_219]) ).
tff(c_253,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_242]) ).
tff(c_186,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_153]) ).
tff(c_285,plain,
! [X_16,Z_17] : ( multiply(inverse(X_16),multiply(X_16,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_309,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_253,c_285]) ).
tff(c_333,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_309]) ).
tff(c_196,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_547,plain,
! [X_19,Z_20] : ( multiply(inverse(inverse(X_19)),Z_20) = multiply(X_19,Z_20) ),
inference(superposition,[status(thm),theory(equality)],[c_285,c_196]) ).
tff(c_324,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_285]) ).
tff(c_554,plain,
! [X_19] : ( multiply(X_19,identity) = X_19 ),
inference(superposition,[status(thm),theory(equality)],[c_547,c_324]) ).
tff(c_218,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_117]) ).
tff(c_340,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_333,c_218]) ).
tff(c_223,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_85]) ).
tff(c_217,plain,
multiply(sk_c2,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_122]) ).
tff(c_303,plain,
multiply(inverse(sk_c2),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_217,c_285]) ).
tff(c_331,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_223,c_303]) ).
tff(c_388,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_340,c_331]) ).
tff(c_252,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( multiply(sk_c5,sk_c5) != sk_c6 )
| ( multiply(sk_c6,sk_c5) != sk_c5 )
| ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c5 )
| ( inverse(X1_8) != sk_c5 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_242]) ).
tff(c_7816,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != identity )
| ( identity != X3_6 )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( identity != X2_9 )
| ( inverse(X2_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_333,c_554,c_388,c_333,c_388,c_554,c_388,c_333,c_554,c_388,c_388,c_388,c_554,c_388,c_333,c_388,c_2,c_333,c_388,c_2,c_388,c_333,c_252]) ).
tff(c_7818,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_7816]) ).
tff(c_222,plain,
multiply(sk_c5,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_89]) ).
tff(c_391,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_222]) ).
tff(c_450,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_391,c_2]) ).
tff(c_395,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_223]) ).
tff(c_461,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_450,c_395]) ).
tff(c_7820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7818,c_461]) ).
tff(c_7821,plain,
! [X1_8,X4_7,X3_6] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( inverse(X3_6) != identity )
| ( identity != X3_6 ) ),
inference(splitRight,[status(thm)],[c_7816]) ).
tff(c_10457,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_7821]) ).
tff(c_10459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10457,c_461]) ).
tff(c_10460,plain,
! [X4_7,X1_8] :
( ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(splitRight,[status(thm)],[c_7821]) ).
tff(c_10462,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_10460]) ).
tff(c_10464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10462,c_461]) ).
tff(c_10814,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_10460]) ).
tff(c_10816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10814,c_461]) ).
tff(c_10818,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_10863,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10818,c_18]) ).
tff(c_11083,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10962,c_10863]) ).
tff(c_11254,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11221,c_11083]) ).
tff(c_10817,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_11086,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10962,c_10817]) ).
tff(c_22,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_10868,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10818,c_22]) ).
tff(c_11082,plain,
multiply(sk_c3,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10962,c_10868]) ).
tff(c_10931,plain,
! [X_2,Z_128] : ( multiply(inverse(X_2),multiply(X_2,Z_128)) = Z_128 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10919]) ).
tff(c_11234,plain,
multiply(inverse(sk_c3),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11082,c_10931]) ).
tff(c_11240,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11086,c_11234]) ).
tff(c_11349,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11254,c_11240]) ).
tff(c_11090,plain,
multiply(sk_c6,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10962,c_102]) ).
tff(c_11358,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11349,c_11090]) ).
tff(c_11529,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_11358,c_10931]) ).
tff(c_11541,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11529]) ).
tff(c_11085,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10962,c_10818]) ).
tff(c_11354,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11349,c_11349,c_11085]) ).
tff(c_11619,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11541,c_11354]) ).
tff(c_11620,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_11621,plain,
multiply(sk_c2,sk_c7) != sk_c5,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_11662,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11621,c_56]) ).
tff(c_12016,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11662,c_11971]) ).
tff(c_12034,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11620,c_12016]) ).
tff(c_12055,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12032,c_2,c_12032,c_12034]) ).
tff(c_11905,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11891,c_85]) ).
tff(c_11922,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11905,c_4]) ).
tff(c_12066,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12055,c_11922]) ).
tff(c_11899,plain,
multiply(sk_c2,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11891,c_11621]) ).
tff(c_12111,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12066,c_12055,c_12055,c_11899]) ).
tff(c_12112,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_13341,plain,
! [X_173] : ( multiply(inverse(inverse(X_173)),identity) = X_173 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13031]) ).
tff(c_13356,plain,
multiply(inverse(sk_c7),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_12112,c_13341]) ).
tff(c_13369,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_13106,c_13356]) ).
tff(c_52,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_12148,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11621,c_52]) ).
tff(c_13372,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13369,c_12148]) ).
tff(c_13409,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13397,c_13372]) ).
tff(c_12113,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_26,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_12143,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_12113,c_26]) ).
tff(c_48,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c2,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_12136,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_11621,c_48]) ).
tff(c_12262,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_117,c_12136,c_68]) ).
tff(c_12307,plain,
! [X3_155] :
( ( inverse(X3_155) != sk_c7 )
| ( multiply(X3_155,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_12262]) ).
tff(c_12317,plain,
( ( inverse(sk_c6) != sk_c7 )
| ( sk_c6 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_12136,c_12307]) ).
tff(c_12328,plain,
sk_c6 != sk_c5,
inference(splitLeft,[status(thm)],[c_12317]) ).
tff(c_12508,plain,
! [Z_159] : ( multiply(sk_c7,multiply(sk_c6,Z_159)) = multiply(sk_c5,Z_159) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_12163]) ).
tff(c_12529,plain,
multiply(sk_c7,sk_c5) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_12136,c_12508]) ).
tff(c_12537,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_117,c_12529]) ).
tff(c_11625,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11620,c_4]) ).
tff(c_12190,plain,
! [Z_149] : ( multiply(sk_c6,multiply(sk_c4,Z_149)) = multiply(identity,Z_149) ),
inference(superposition,[status(thm),theory(equality)],[c_11625,c_12163]) ).
tff(c_12271,plain,
! [Z_153] : ( multiply(sk_c6,multiply(sk_c4,Z_153)) = Z_153 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12190]) ).
tff(c_12283,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_12143,c_12271]) ).
tff(c_12117,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12112,c_4]) ).
tff(c_12187,plain,
! [Z_149] : ( multiply(sk_c7,multiply(sk_c3,Z_149)) = multiply(identity,Z_149) ),
inference(superposition,[status(thm),theory(equality)],[c_12117,c_12163]) ).
tff(c_12245,plain,
! [Z_152] : ( multiply(sk_c7,multiply(sk_c3,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12187]) ).
tff(c_12257,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12148,c_12245]) ).
tff(c_12644,plain,
! [Z_161] : ( multiply(sk_c6,multiply(sk_c7,Z_161)) = multiply(sk_c5,Z_161) ),
inference(superposition,[status(thm),theory(equality)],[c_12136,c_12163]) ).
tff(c_12668,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_12257,c_12644]) ).
tff(c_12685,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12537,c_12283,c_12668]) ).
tff(c_12687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12328,c_12685]) ).
tff(c_12689,plain,
sk_c6 = sk_c5,
inference(splitRight,[status(thm)],[c_12317]) ).
tff(c_12321,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12307]) ).
tff(c_12764,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c5 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12689,c_12321]) ).
tff(c_12765,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_12764]) ).
tff(c_12693,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12689,c_12689,c_12283]) ).
tff(c_12792,plain,
! [X_163,Z_164] : ( multiply(inverse(X_163),multiply(X_163,Z_164)) = Z_164 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12205]) ).
tff(c_12813,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_12693,c_12792]) ).
tff(c_12874,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12813]) ).
tff(c_12876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12765,c_12874]) ).
tff(c_12878,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_12764]) ).
tff(c_12688,plain,
inverse(sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_12317]) ).
tff(c_12723,plain,
inverse(sk_c5) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12689,c_12688]) ).
tff(c_12885,plain,
inverse(identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12878,c_12723]) ).
tff(c_12889,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12878,c_12689]) ).
tff(c_12196,plain,
! [Z_149] : ( multiply(sk_c7,multiply(sk_c6,Z_149)) = multiply(sk_c5,Z_149) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_12163]) ).
tff(c_12900,plain,
! [Z_165] : ( multiply(sk_c7,Z_165) = Z_165 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12889,c_2,c_12878,c_12196]) ).
tff(c_12918,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_12900,c_12117]) ).
tff(c_12951,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12918,c_12112]) ).
tff(c_12986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12885,c_12951]) ).
tff(c_12987,plain,
! [X4_7,X1_8,X2_9] :
( ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_12262]) ).
tff(c_13278,plain,
! [X2_172] :
( ( multiply(X2_172,sk_c5) != sk_c6 )
| ( inverse(X2_172) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_12987]) ).
tff(c_13292,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12143,c_13278]) ).
tff(c_13308,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11620,c_13292]) ).
tff(c_13309,plain,
! [X1_8,X4_7] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_12987]) ).
tff(c_13523,plain,
! [X4_175] :
( ( inverse(X4_175) != sk_c7 )
| ( multiply(X4_175,sk_c7) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_13309]) ).
tff(c_13544,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c5 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13523]) ).
tff(c_13551,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_13544]) ).
tff(c_13443,plain,
! [Z_174] : ( multiply(sk_c7,multiply(sk_c6,Z_174)) = multiply(sk_c5,Z_174) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_12163]) ).
tff(c_13464,plain,
multiply(sk_c7,sk_c5) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_12136,c_13443]) ).
tff(c_13472,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_117,c_13464]) ).
tff(c_13564,plain,
! [Z_176] : ( multiply(sk_c4,multiply(sk_c5,Z_176)) = multiply(sk_c6,Z_176) ),
inference(superposition,[status(thm),theory(equality)],[c_12143,c_12163]) ).
tff(c_13585,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_13472,c_13564]) ).
tff(c_13591,plain,
multiply(sk_c4,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12136,c_13585]) ).
tff(c_12217,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_12205]) ).
tff(c_13595,plain,
multiply(inverse(sk_c4),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13591,c_12217]) ).
tff(c_13604,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11620,c_13595]) ).
tff(c_13612,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13604,c_12217]) ).
tff(c_13619,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13612]) ).
tff(c_13621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13551,c_13619]) ).
tff(c_13623,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_13544]) ).
tff(c_13097,plain,
multiply(inverse(sk_c7),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_111,c_13031]) ).
tff(c_13632,plain,
multiply(inverse(sk_c7),identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13623,c_13097]) ).
tff(c_13642,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13100,c_13632]) ).
tff(c_13549,plain,
inverse(sk_c6) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12136,c_13523]) ).
tff(c_13678,plain,
inverse(sk_c1) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13642,c_13549]) ).
tff(c_13688,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_13678]) ).
tff(c_13706,plain,
! [X1_178] :
( ( multiply(X1_178,sk_c6) != sk_c7 )
| ( inverse(X1_178) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_13309]) ).
tff(c_13709,plain,
inverse(sk_c1) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13409,c_13706]) ).
tff(c_13738,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_13709]) ).
tff(c_13740,plain,
multiply(sk_c7,sk_c5) != sk_c6,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_44,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_13769,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13740,c_44]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_13792,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13740,c_46]) ).
tff(c_13932,plain,
! [X_183,Z_184] : ( multiply(inverse(X_183),multiply(X_183,Z_184)) = Z_184 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13851]) ).
tff(c_13959,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13792,c_13932]) ).
tff(c_13975,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13769,c_13959]) ).
tff(c_14019,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14005,c_14005,c_13975]) ).
tff(c_14023,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14019]) ).
tff(c_13888,plain,
multiply(sk_c5,sk_c5) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13881,c_13740]) ).
tff(c_14148,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14023,c_2,c_14023,c_14005,c_13888]) ).
tff(c_14149,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_14645,plain,
inverse(sk_c4) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14637,c_14149]) ).
tff(c_14658,plain,
multiply(sk_c2,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14645,c_4]) ).
tff(c_14694,plain,
multiply(sk_c1,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14662,c_14658]) ).
tff(c_14682,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14662,c_14637]) ).
tff(c_14150,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_14181,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14150,c_26]) ).
tff(c_14212,plain,
! [Z_187] : ( multiply(sk_c4,multiply(sk_c5,Z_187)) = multiply(sk_c6,Z_187) ),
inference(superposition,[status(thm),theory(equality)],[c_14181,c_14197]) ).
tff(c_14849,plain,
! [Z_187] : ( multiply(sk_c4,Z_187) = multiply(sk_c1,Z_187) ),
inference(demodulation,[status(thm),theory(equality)],[c_14682,c_2,c_14518,c_14212]) ).
tff(c_14532,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14518,c_14278]) ).
tff(c_14251,plain,
! [X_2,Z_187] : ( multiply(inverse(X_2),multiply(X_2,Z_187)) = Z_187 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14239]) ).
tff(c_14698,plain,
multiply(inverse(sk_c1),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_14694,c_14251]) ).
tff(c_14707,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_14532,c_98,c_14698]) ).
tff(c_42,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_14175,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13740,c_42]) ).
tff(c_13739,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_13744,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13739,c_4]) ).
tff(c_14227,plain,
! [Z_187] : ( multiply(sk_c7,multiply(sk_c3,Z_187)) = multiply(identity,Z_187) ),
inference(superposition,[status(thm),theory(equality)],[c_13744,c_14197]) ).
tff(c_14315,plain,
! [Z_191] : ( multiply(sk_c7,multiply(sk_c3,Z_191)) = Z_191 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14227]) ).
tff(c_14327,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14175,c_14315]) ).
tff(c_14639,plain,
multiply(sk_c7,sk_c7) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14637,c_14327]) ).
tff(c_14884,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14694,c_14849,c_14707,c_14707,c_14662,c_14639]) ).
tff(c_14282,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14278,c_13740]) ).
tff(c_14641,plain,
sk_c7 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14637,c_14282]) ).
tff(c_14681,plain,
sk_c7 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14662,c_14641]) ).
tff(c_14714,plain,
sk_c4 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14707,c_14681]) ).
tff(c_14893,plain,
sk_c4 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14884,c_14714]) ).
tff(c_14896,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14884,c_14662]) ).
tff(c_14154,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14149,c_4]) ).
tff(c_14643,plain,
multiply(sk_c2,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14637,c_14154]) ).
tff(c_14945,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14896,c_14643]) ).
tff(c_14946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14893,c_14945]) ).
tff(c_14948,plain,
multiply(sk_c2,sk_c7) != sk_c5,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_14972,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14948,c_56]) ).
tff(c_14947,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_14952,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14947,c_4]) ).
tff(c_15314,plain,
! [X_204,Y_205,Z_206] : ( multiply(multiply(X_204,Y_205),Z_206) = multiply(X_204,multiply(Y_205,Z_206)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15338,plain,
! [Z_206] : ( multiply(sk_c6,multiply(sk_c4,Z_206)) = multiply(identity,Z_206) ),
inference(superposition,[status(thm),theory(equality)],[c_14952,c_15314]) ).
tff(c_15393,plain,
! [Z_209] : ( multiply(sk_c6,multiply(sk_c4,Z_209)) = Z_209 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15338]) ).
tff(c_15405,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14972,c_15393]) ).
tff(c_15353,plain,
! [X_2,Z_206] : ( multiply(inverse(X_2),multiply(X_2,Z_206)) = multiply(identity,Z_206) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15314]) ).
tff(c_15441,plain,
! [X_211,Z_212] : ( multiply(inverse(X_211),multiply(X_211,Z_212)) = Z_212 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15353]) ).
tff(c_15465,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15405,c_15441]) ).
tff(c_14977,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_15003,plain,
! [X_198,Y_199,Z_200] : ( multiply(multiply(X_198,Y_199),Z_200) = multiply(X_198,multiply(Y_199,Z_200)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15039,plain,
! [Z_200] : ( multiply(sk_c7,multiply(sk_c1,Z_200)) = multiply(identity,Z_200) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_15003]) ).
tff(c_15059,plain,
! [Z_201] : ( multiply(sk_c7,multiply(sk_c1,Z_201)) = Z_201 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15039]) ).
tff(c_15071,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14977,c_15059]) ).
tff(c_15075,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_15071]) ).
tff(c_15107,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c5 )
| ( inverse(X1_8) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( multiply(sk_c5,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15075,c_15075,c_15075,c_15075,c_15075,c_15075,c_15075,c_15075,c_15075,c_68]) ).
tff(c_15108,plain,
multiply(sk_c5,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_15107]) ).
tff(c_15084,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15075,c_111]) ).
tff(c_15116,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15108,c_15084]) ).
tff(c_15118,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_15107]) ).
tff(c_15045,plain,
! [X_2,Z_200] : ( multiply(inverse(X_2),multiply(X_2,Z_200)) = multiply(identity,Z_200) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15003]) ).
tff(c_15150,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_15045]) ).
tff(c_15171,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15118,c_15150]) ).
tff(c_15206,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15171]) ).
tff(c_15189,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14972,c_15150]) ).
tff(c_15207,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14947,c_15189]) ).
tff(c_15227,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15206,c_2,c_15206,c_15207]) ).
tff(c_15087,plain,
multiply(sk_c5,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15075,c_89]) ).
tff(c_15282,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15227,c_15087]) ).
tff(c_15080,plain,
multiply(sk_c2,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15075,c_14948]) ).
tff(c_15279,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15227,c_15227,c_15080]) ).
tff(c_15283,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15282,c_15279]) ).
tff(c_15287,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15283]) ).
tff(c_15288,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_15483,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15288,c_15441]) ).
tff(c_15709,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15465,c_15483]) ).
tff(c_15289,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_15302,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15289,c_22]) ).
tff(c_15341,plain,
! [Z_206] : ( multiply(sk_c7,multiply(sk_c3,Z_206)) = multiply(identity,Z_206) ),
inference(superposition,[status(thm),theory(equality)],[c_13744,c_15314]) ).
tff(c_15418,plain,
! [Z_210] : ( multiply(sk_c7,multiply(sk_c3,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15341]) ).
tff(c_15430,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15302,c_15418]) ).
tff(c_15725,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15709,c_15709,c_15430]) ).
tff(c_15734,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15405,c_15725]) ).
tff(c_15742,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15734,c_15734,c_15465]) ).
tff(c_15749,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15742]) ).
tff(c_15777,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15749,c_15734]) ).
tff(c_15732,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15709,c_98]) ).
tff(c_15812,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15777,c_15732]) ).
tff(c_15516,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15441]) ).
tff(c_15816,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_15812,c_15516]) ).
tff(c_15825,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15816]) ).
tff(c_15504,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_15441]) ).
tff(c_15510,plain,
multiply(inverse(sk_c7),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_15441]) ).
tff(c_15576,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_15504,c_15510]) ).
tff(c_15589,plain,
multiply(sk_c1,sk_c7) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15576,c_14948]) ).
tff(c_15723,plain,
multiply(sk_c1,sk_c6) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15709,c_15589]) ).
tff(c_15866,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15825,c_15777,c_15749,c_15723]) ).
tff(c_15868,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_15904,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_17075,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_17108,plain,
! [Z_248] : ( multiply(sk_c7,multiply(sk_c1,Z_248)) = multiply(identity,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_17075]) ).
tff(c_17128,plain,
! [Z_249] : ( multiply(sk_c7,multiply(sk_c1,Z_249)) = Z_249 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17108]) ).
tff(c_17140,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15904,c_17128]) ).
tff(c_17114,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_17075]) ).
tff(c_17213,plain,
! [X_253,Z_254] : ( multiply(inverse(X_253),multiply(X_253,Z_254)) = Z_254 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17114]) ).
tff(c_17246,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17140,c_17213]) ).
tff(c_17298,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17246]) ).
tff(c_16629,plain,
multiply(sk_c2,sk_c7) = sk_c5,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_16646,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_16685,plain,
! [Z_237] : ( multiply(sk_c7,multiply(sk_c2,Z_237)) = multiply(identity,Z_237) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_16646]) ).
tff(c_16728,plain,
! [Z_239] : ( multiply(sk_c7,multiply(sk_c2,Z_239)) = Z_239 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16685]) ).
tff(c_16740,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16629,c_16728]) ).
tff(c_16688,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_16646]) ).
tff(c_16846,plain,
! [X_242,Z_243] : ( multiply(inverse(X_242),multiply(X_242,Z_243)) = Z_243 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16688]) ).
tff(c_16864,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16740,c_16846]) ).
tff(c_16904,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16864]) ).
tff(c_16682,plain,
! [Z_237] : ( multiply(sk_c7,multiply(sk_c1,Z_237)) = multiply(identity,Z_237) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_16646]) ).
tff(c_16702,plain,
! [Z_238] : ( multiply(sk_c7,multiply(sk_c1,Z_238)) = Z_238 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16682]) ).
tff(c_16714,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15904,c_16702]) ).
tff(c_16718,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16714,c_15868]) ).
tff(c_16910,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16904,c_16718]) ).
tff(c_16301,plain,
! [X_225,Y_226,Z_227] : ( multiply(multiply(X_225,Y_226),Z_227) = multiply(X_225,multiply(Y_226,Z_227)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16337,plain,
! [Z_227] : ( multiply(sk_c7,multiply(sk_c1,Z_227)) = multiply(identity,Z_227) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_16301]) ).
tff(c_16357,plain,
! [Z_228] : ( multiply(sk_c7,multiply(sk_c1,Z_228)) = Z_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16337]) ).
tff(c_16369,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15904,c_16357]) ).
tff(c_16373,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16369,c_15868]) ).
tff(c_15910,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_15920,plain,
multiply(sk_c2,sk_c7) = sk_c5,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_15940,plain,
! [X_217,Y_218,Z_219] : ( multiply(multiply(X_217,Y_218),Z_219) = multiply(X_217,multiply(Y_218,Z_219)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15982,plain,
! [Z_219] : ( multiply(sk_c7,multiply(sk_c2,Z_219)) = multiply(identity,Z_219) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_15940]) ).
tff(c_16025,plain,
! [Z_221] : ( multiply(sk_c7,multiply(sk_c2,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15982]) ).
tff(c_16037,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15920,c_16025]) ).
tff(c_16041,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15910,c_16037]) ).
tff(c_16049,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16041,c_15910]) ).
tff(c_15985,plain,
! [X_2,Z_219] : ( multiply(inverse(X_2),multiply(X_2,Z_219)) = multiply(identity,Z_219) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15940]) ).
tff(c_15997,plain,
! [X_2,Z_219] : ( multiply(inverse(X_2),multiply(X_2,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15985]) ).
tff(c_16154,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16049,c_15997]) ).
tff(c_16160,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16154]) ).
tff(c_15979,plain,
! [Z_219] : ( multiply(sk_c7,multiply(sk_c1,Z_219)) = multiply(identity,Z_219) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_15940]) ).
tff(c_15999,plain,
! [Z_220] : ( multiply(sk_c7,multiply(sk_c1,Z_220)) = Z_220 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15979]) ).
tff(c_16011,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15904,c_15999]) ).
tff(c_16015,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16011,c_15868]) ).
tff(c_16043,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16041,c_16015]) ).
tff(c_16164,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16160,c_16043]) ).
tff(c_8,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_15935,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_15868,c_8]) ).
tff(c_16046,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16041,c_15935]) ).
tff(c_16263,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16160,c_16046]) ).
tff(c_16044,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16041,c_16041,c_16011]) ).
tff(c_16279,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16263,c_16044]) ).
tff(c_16280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16164,c_16279]) ).
tff(c_16281,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_15882,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15868,c_14]) ).
tff(c_15886,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15882,c_4]) ).
tff(c_16331,plain,
! [Z_227] : ( multiply(sk_c6,multiply(sk_c4,Z_227)) = multiply(identity,Z_227) ),
inference(superposition,[status(thm),theory(equality)],[c_15886,c_16301]) ).
tff(c_16482,plain,
! [Z_232] : ( multiply(sk_c6,multiply(sk_c4,Z_232)) = Z_232 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16331]) ).
tff(c_16494,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16281,c_16482]) ).
tff(c_16419,plain,
! [Z_231] : ( multiply(sk_c1,multiply(sk_c7,Z_231)) = multiply(sk_c6,Z_231) ),
inference(superposition,[status(thm),theory(equality)],[c_15904,c_16301]) ).
tff(c_16443,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_16369,c_16419]) ).
tff(c_16463,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15904,c_16443]) ).
tff(c_16498,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16494,c_16463]) ).
tff(c_16515,plain,
multiply(sk_c7,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16498,c_15910]) ).
tff(c_16516,plain,
multiply(sk_c1,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16498,c_15904]) ).
tff(c_16343,plain,
! [X_2,Z_227] : ( multiply(inverse(X_2),multiply(X_2,Z_227)) = multiply(identity,Z_227) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16301]) ).
tff(c_16355,plain,
! [X_2,Z_227] : ( multiply(inverse(X_2),multiply(X_2,Z_227)) = Z_227 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16343]) ).
tff(c_16604,plain,
multiply(inverse(sk_c1),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16516,c_16355]) ).
tff(c_16613,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16515,c_98,c_16604]) ).
tff(c_16615,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16373,c_16613]) ).
tff(c_16617,plain,
multiply(sk_c7,sk_c5) != sk_c6,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_16634,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16617,c_46]) ).
tff(c_16676,plain,
! [Z_237] : ( multiply(sk_c6,multiply(sk_c4,Z_237)) = multiply(identity,Z_237) ),
inference(superposition,[status(thm),theory(equality)],[c_15886,c_16646]) ).
tff(c_16805,plain,
! [Z_241] : ( multiply(sk_c6,multiply(sk_c4,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16676]) ).
tff(c_16817,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16634,c_16805]) ).
tff(c_16752,plain,
! [Z_240] : ( multiply(sk_c1,multiply(sk_c7,Z_240)) = multiply(sk_c6,Z_240) ),
inference(superposition,[status(thm),theory(equality)],[c_15904,c_16646]) ).
tff(c_16773,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_16714,c_16752]) ).
tff(c_16790,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15904,c_16773]) ).
tff(c_16821,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16817,c_16790]) ).
tff(c_16624,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_15868,c_8]) ).
tff(c_16836,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16821,c_16624]) ).
tff(c_17056,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16904,c_2,c_16904,c_16836]) ).
tff(c_17057,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16910,c_17056]) ).
tff(c_17058,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_17102,plain,
! [Z_248] : ( multiply(sk_c6,multiply(sk_c4,Z_248)) = multiply(identity,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_15886,c_17075]) ).
tff(c_17190,plain,
! [Z_252] : ( multiply(sk_c6,multiply(sk_c4,Z_252)) = Z_252 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17102]) ).
tff(c_17202,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_17058,c_17190]) ).
tff(c_17306,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17298,c_17298,c_17202]) ).
tff(c_17317,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17306]) ).
tff(c_17144,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17140,c_15868]) ).
tff(c_17322,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_17317,c_17144]) ).
tff(c_17311,plain,
multiply(identity,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17298,c_16624]) ).
tff(c_17403,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17317,c_17311]) ).
tff(c_17126,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_17114]) ).
tff(c_17407,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17403,c_17126]) ).
tff(c_17419,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17407]) ).
tff(c_17421,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17322,c_17419]) ).
tff(c_17422,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_15867,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_15872,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15867,c_4]) ).
tff(c_18547,plain,
! [X_280,Y_281,Z_282] : ( multiply(multiply(X_280,Y_281),Z_282) = multiply(X_280,multiply(Y_281,Z_282)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18574,plain,
! [Z_282] : ( multiply(sk_c7,multiply(sk_c3,Z_282)) = multiply(identity,Z_282) ),
inference(superposition,[status(thm),theory(equality)],[c_15872,c_18547]) ).
tff(c_18648,plain,
! [Z_286] : ( multiply(sk_c7,multiply(sk_c3,Z_286)) = Z_286 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18574]) ).
tff(c_18660,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17422,c_18648]) ).
tff(c_17423,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_17429,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_17423,c_18]) ).
tff(c_18583,plain,
! [X_2,Z_282] : ( multiply(inverse(X_2),multiply(X_2,Z_282)) = multiply(identity,Z_282) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18547]) ).
tff(c_18671,plain,
! [X_287,Z_288] : ( multiply(inverse(X_287),multiply(X_287,Z_288)) = Z_288 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18583]) ).
tff(c_18731,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_18671]) ).
tff(c_18815,plain,
! [X_290] : ( multiply(inverse(inverse(X_290)),identity) = X_290 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18671]) ).
tff(c_18833,plain,
multiply(inverse(sk_c7),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_15867,c_18815]) ).
tff(c_18840,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_18731,c_18833]) ).
tff(c_18568,plain,
! [Z_282] : ( multiply(sk_c3,multiply(sk_c6,Z_282)) = multiply(sk_c7,Z_282) ),
inference(superposition,[status(thm),theory(equality)],[c_17422,c_18547]) ).
tff(c_18881,plain,
! [Z_291] : ( multiply(sk_c1,multiply(sk_c6,Z_291)) = multiply(sk_c7,Z_291) ),
inference(demodulation,[status(thm),theory(equality)],[c_18840,c_18568]) ).
tff(c_18905,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_17429,c_18881]) ).
tff(c_18913,plain,
multiply(sk_c1,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18660,c_18905]) ).
tff(c_18595,plain,
! [X_2,Z_282] : ( multiply(inverse(X_2),multiply(X_2,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18583]) ).
tff(c_18917,plain,
multiply(inverse(sk_c1),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_18913,c_18595]) ).
tff(c_18926,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_18917]) ).
tff(c_18928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15868,c_18926]) ).
tff(c_18930,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_18974,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_18930,c_36]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_18938,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_18930,c_34]) ).
tff(c_18942,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18938,c_4]) ).
tff(c_19016,plain,
! [Z_294] : ( multiply(sk_c6,multiply(sk_c4,Z_294)) = multiply(identity,Z_294) ),
inference(superposition,[status(thm),theory(equality)],[c_18942,c_18992]) ).
tff(c_19420,plain,
! [Z_304] : ( multiply(sk_c6,multiply(sk_c4,Z_304)) = Z_304 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19016]) ).
tff(c_19432,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_18974,c_19420]) ).
tff(c_32,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_18955,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18930,c_32]) ).
tff(c_18929,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_18934,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18929,c_4]) ).
tff(c_19019,plain,
! [Z_294] : ( multiply(sk_c7,multiply(sk_c3,Z_294)) = multiply(identity,Z_294) ),
inference(superposition,[status(thm),theory(equality)],[c_18934,c_18992]) ).
tff(c_19443,plain,
! [Z_305] : ( multiply(sk_c7,multiply(sk_c3,Z_305)) = Z_305 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19019]) ).
tff(c_19455,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18955,c_19443]) ).
tff(c_28,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_18964,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_18930,c_28]) ).
tff(c_20187,plain,
! [Z_317] : ( multiply(sk_c6,multiply(sk_c7,Z_317)) = multiply(sk_c5,Z_317) ),
inference(superposition,[status(thm),theory(equality)],[c_18964,c_18992]) ).
tff(c_20214,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_19455,c_20187]) ).
tff(c_20228,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_19432,c_20214]) ).
tff(c_20233,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_20228,c_19036]) ).
tff(c_20239,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20233]) ).
tff(c_20249,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20239,c_20239,c_19455]) ).
tff(c_20261,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20249]) ).
tff(c_19041,plain,
! [Z_295] : ( multiply(sk_c6,multiply(sk_c4,Z_295)) = Z_295 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19016]) ).
tff(c_19053,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_18974,c_19041]) ).
tff(c_19093,plain,
! [X_298,Z_299] : ( multiply(inverse(X_298),multiply(X_298,Z_299)) = Z_299 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19025]) ).
tff(c_19132,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18955,c_19093]) ).
tff(c_19161,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18929,c_19132]) ).
tff(c_19296,plain,
! [Z_302] : ( multiply(sk_c6,multiply(sk_c7,Z_302)) = multiply(sk_c5,Z_302) ),
inference(superposition,[status(thm),theory(equality)],[c_18964,c_18992]) ).
tff(c_19311,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_19161,c_19296]) ).
tff(c_19321,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_19053,c_19311]) ).
tff(c_19325,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19321,c_19036]) ).
tff(c_19331,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19325]) ).
tff(c_19338,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19331,c_19331,c_19161]) ).
tff(c_19347,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19338]) ).
tff(c_19390,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_19347,c_19347,c_19053]) ).
tff(c_19396,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19390]) ).
tff(c_19039,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18964,c_68]) ).
tff(c_19040,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_19039]) ).
tff(c_19340,plain,
multiply(identity,sk_c6) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_19331,c_19040]) ).
tff(c_19348,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19340]) ).
tff(c_19410,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19396,c_19347,c_19348]) ).
tff(c_19412,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_19039]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19459,plain,
! [Z_306] : ( multiply(sk_c7,multiply(sk_c6,Z_306)) = multiply(sk_c5,Z_306) ),
inference(superposition,[status(thm),theory(equality)],[c_19412,c_6]) ).
tff(c_19471,plain,
multiply(sk_c7,sk_c5) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_19432,c_19459]) ).
tff(c_19477,plain,
multiply(sk_c7,sk_c5) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_18964,c_19459]) ).
tff(c_19520,plain,
multiply(sk_c5,sk_c7) = multiply(sk_c5,sk_c6),
inference(demodulation,[status(thm),theory(equality)],[c_19471,c_19477]) ).
tff(c_19539,plain,
! [X_308,Z_309] : ( multiply(inverse(X_308),multiply(X_308,Z_309)) = Z_309 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19025]) ).
tff(c_19557,plain,
multiply(inverse(sk_c5),multiply(sk_c5,sk_c6)) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19520,c_19539]) ).
tff(c_19624,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19036,c_19557]) ).
tff(c_19670,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19624,c_19624,c_19455]) ).
tff(c_19681,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_19432,c_19670]) ).
tff(c_19690,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_19681,c_19681,c_19432]) ).
tff(c_19838,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_19690,c_19036]) ).
tff(c_19845,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19838]) ).
tff(c_19411,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_19039]) ).
tff(c_19529,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( multiply(sk_c5,sk_c6) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19471,c_19411]) ).
tff(c_19530,plain,
multiply(sk_c5,sk_c6) != sk_c6,
inference(splitLeft,[status(thm)],[c_19529]) ).
tff(c_19689,plain,
multiply(sk_c5,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_19681,c_19681,c_19530]) ).
tff(c_19956,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19845,c_19689]) ).
tff(c_19958,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(splitRight,[status(thm)],[c_19529]) ).
tff(c_20046,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19958,c_19471]) ).
tff(c_20246,plain,
multiply(identity,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20239,c_20046]) ).
tff(c_20259,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20246]) ).
tff(c_20313,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20261,c_20259]) ).
tff(c_19957,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_19529]) ).
tff(c_40593,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( identity != X2_9 )
| ( inverse(X2_9) != identity )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( inverse(X3_6) != identity )
| ( identity != X3_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20420,c_20261,c_20239,c_20239,c_20420,c_20313,c_20239,c_20239,c_20239,c_20420,c_20261,c_20239,c_20261,c_20420,c_20313,c_20261,c_19957]) ).
tff(c_40595,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_40593]) ).
tff(c_20028,plain,
multiply(inverse(sk_c7),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_19959]) ).
tff(c_20244,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_20239,c_20028]) ).
tff(c_20257,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20244]) ).
tff(c_20255,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20239,c_85]) ).
tff(c_20360,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20257,c_20255]) ).
tff(c_40597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40595,c_20360]) ).
tff(c_40598,plain,
! [X4_7,X1_8,X2_9] :
( ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( identity != X2_9 )
| ( inverse(X2_9) != identity ) ),
inference(splitRight,[status(thm)],[c_40593]) ).
tff(c_49191,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_40598]) ).
tff(c_49193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49191,c_20360]) ).
tff(c_49194,plain,
! [X1_8,X4_7] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 ) ),
inference(splitRight,[status(thm)],[c_40598]) ).
tff(c_49196,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_49194]) ).
tff(c_49198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49196,c_20360]) ).
tff(c_50280,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_49194]) ).
tff(c_50282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50280,c_20360]) ).
tff(c_50284,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_66,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_50311,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_50284,c_66]) ).
tff(c_50283,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_50288,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50283,c_4]) ).
tff(c_50359,plain,
! [X_517,Y_518,Z_519] : ( multiply(multiply(X_517,Y_518),Z_519) = multiply(X_517,multiply(Y_518,Z_519)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_50389,plain,
! [Z_519] : ( multiply(sk_c6,multiply(sk_c4,Z_519)) = multiply(identity,Z_519) ),
inference(superposition,[status(thm),theory(equality)],[c_50288,c_50359]) ).
tff(c_50666,plain,
! [Z_527] : ( multiply(sk_c6,multiply(sk_c4,Z_527)) = Z_527 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50389]) ).
tff(c_50678,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_50311,c_50666]) ).
tff(c_50392,plain,
! [X_2,Z_519] : ( multiply(inverse(X_2),multiply(X_2,Z_519)) = multiply(identity,Z_519) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_50359]) ).
tff(c_50703,plain,
! [X_529,Z_530] : ( multiply(inverse(X_529),multiply(X_529,Z_530)) = Z_530 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50392]) ).
tff(c_50724,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_50678,c_50703]) ).
tff(c_58,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_50341,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_50284,c_58]) ).
tff(c_50742,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_50341,c_50703]) ).
tff(c_50925,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50724,c_50742]) ).
tff(c_62,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_50333,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_50284,c_62]) ).
tff(c_60,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_50296,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_50284,c_60]) ).
tff(c_50300,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50296,c_4]) ).
tff(c_50386,plain,
! [Z_519] : ( multiply(sk_c7,multiply(sk_c3,Z_519)) = multiply(identity,Z_519) ),
inference(superposition,[status(thm),theory(equality)],[c_50300,c_50359]) ).
tff(c_50405,plain,
! [Z_520] : ( multiply(sk_c7,multiply(sk_c3,Z_520)) = Z_520 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50386]) ).
tff(c_50417,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_50333,c_50405]) ).
tff(c_50967,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50925,c_50925,c_50417]) ).
tff(c_50974,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_50678,c_50967]) ).
tff(c_50981,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_50974,c_50974,c_50724]) ).
tff(c_50988,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50981]) ).
tff(c_50998,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50988,c_50974]) ).
tff(c_50431,plain,
! [Z_521] : ( multiply(sk_c6,multiply(sk_c4,Z_521)) = Z_521 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50389]) ).
tff(c_50443,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_50311,c_50431]) ).
tff(c_50542,plain,
! [Z_525] : ( multiply(sk_c6,multiply(sk_c7,Z_525)) = multiply(sk_c5,Z_525) ),
inference(superposition,[status(thm),theory(equality)],[c_50341,c_50359]) ).
tff(c_50560,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_50417,c_50542]) ).
tff(c_50573,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_50443,c_50560]) ).
tff(c_50403,plain,
! [X_2,Z_519] : ( multiply(inverse(X_2),multiply(X_2,Z_519)) = Z_519 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50392]) ).
tff(c_50577,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_50573,c_50403]) ).
tff(c_50583,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50577]) ).
tff(c_50589,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50583,c_50583,c_50417]) ).
tff(c_50600,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50589]) ).
tff(c_50605,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_50600,c_50600,c_50443]) ).
tff(c_50610,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50605]) ).
tff(c_50429,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50341,c_68]) ).
tff(c_50430,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_50429]) ).
tff(c_50588,plain,
multiply(identity,sk_c6) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_50583,c_50430]) ).
tff(c_50599,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50588]) ).
tff(c_50656,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50610,c_50600,c_50599]) ).
tff(c_50657,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_50429]) ).
tff(c_50689,plain,
multiply(sk_c7,sk_c5) != sk_c6,
inference(splitLeft,[status(thm)],[c_50657]) ).
tff(c_50965,plain,
multiply(sk_c6,sk_c5) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50925,c_50689]) ).
tff(c_51103,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50998,c_2,c_50998,c_50988,c_50965]) ).
tff(c_51105,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_50657]) ).
tff(c_51887,plain,
! [X_549,Z_550] : ( multiply(inverse(X_549),multiply(X_549,Z_550)) = Z_550 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50392]) ).
tff(c_51908,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_51105,c_51887]) ).
tff(c_51920,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_50417,c_51887]) ).
tff(c_52440,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_51908,c_51920]) ).
tff(c_50658,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_50429]) ).
tff(c_51917,plain,
multiply(inverse(sk_c7),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_50658,c_51887]) ).
tff(c_52443,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_52440,c_51917]) ).
tff(c_52454,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52443]) ).
tff(c_52460,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_52454,c_52454,c_50678]) ).
tff(c_52466,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52460]) ).
tff(c_52281,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_51908,c_51920]) ).
tff(c_52284,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_52281,c_51917]) ).
tff(c_52295,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52284]) ).
tff(c_51950,plain,
multiply(inverse(sk_c6),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_50288,c_51887]) ).
tff(c_52320,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_52295,c_51950]) ).
tff(c_52326,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52320]) ).
tff(c_52325,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52295,c_50283]) ).
tff(c_52370,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52326,c_52325]) ).
tff(c_52321,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_52295,c_52295,c_50678]) ).
tff(c_52327,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52321]) ).
tff(c_52336,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52327,c_52281]) ).
tff(c_52124,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_51908,c_51920]) ).
tff(c_52127,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_52124,c_51917]) ).
tff(c_52138,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52127]) ).
tff(c_52143,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_52138,c_51950]) ).
tff(c_52149,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52143]) ).
tff(c_52148,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52138,c_50283]) ).
tff(c_52190,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52149,c_52148]) ).
tff(c_52144,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_52138,c_52138,c_50678]) ).
tff(c_52150,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52144]) ).
tff(c_51104,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_50657]) ).
tff(c_51127,plain,
! [X3_536] :
( ( inverse(X3_536) != sk_c7 )
| ( multiply(X3_536,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_51104]) ).
tff(c_51141,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51127]) ).
tff(c_51149,plain,
sk_c6 != identity,
inference(splitLeft,[status(thm)],[c_51141]) ).
tff(c_51231,plain,
! [Z_539] : ( multiply(sk_c6,multiply(sk_c7,Z_539)) = multiply(sk_c5,Z_539) ),
inference(superposition,[status(thm),theory(equality)],[c_50341,c_50359]) ).
tff(c_51249,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_51105,c_51231]) ).
tff(c_51268,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_50678,c_51249]) ).
tff(c_51273,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_51268,c_50403]) ).
tff(c_51279,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51273]) ).
tff(c_51255,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_50417,c_51231]) ).
tff(c_51269,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_50678,c_51255]) ).
tff(c_51295,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51279,c_2,c_51279,c_51269]) ).
tff(c_51300,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_51295,c_51295,c_50417]) ).
tff(c_51308,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51300]) ).
tff(c_51310,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51149,c_51308]) ).
tff(c_51312,plain,
sk_c6 = identity,
inference(splitRight,[status(thm)],[c_51141]) ).
tff(c_51137,plain,
( ( inverse(sk_c6) != sk_c7 )
| ( sk_c6 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_50341,c_51127]) ).
tff(c_51147,plain,
sk_c6 != sk_c5,
inference(splitLeft,[status(thm)],[c_51137]) ).
tff(c_51351,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_51312,c_51147]) ).
tff(c_51354,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_51312,c_51312,c_50678]) ).
tff(c_51363,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51354]) ).
tff(c_51368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51351,c_51363]) ).
tff(c_51370,plain,
sk_c6 = sk_c5,
inference(splitRight,[status(thm)],[c_51137]) ).
tff(c_51452,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c5 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51370,c_51141]) ).
tff(c_51453,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_51452]) ).
tff(c_51373,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_51370,c_51370,c_50678]) ).
tff(c_51472,plain,
! [X_542,Z_543] : ( multiply(inverse(X_542),multiply(X_542,Z_543)) = Z_543 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50392]) ).
tff(c_51493,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_51373,c_51472]) ).
tff(c_51545,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51493]) ).
tff(c_51547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51453,c_51545]) ).
tff(c_51549,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_51452]) ).
tff(c_51145,plain,
( ( inverse(identity) != sk_c7 )
| ( sk_c7 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_51127]) ).
tff(c_51442,plain,
( ( inverse(identity) != sk_c7 )
| ( sk_c7 != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51370,c_51145]) ).
tff(c_51443,plain,
sk_c7 != sk_c5,
inference(splitLeft,[status(thm)],[c_51442]) ).
tff(c_51551,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_51549,c_51443]) ).
tff(c_51377,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_51370,c_50341]) ).
tff(c_51553,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51549,c_51549,c_51377]) ).
tff(c_51614,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_51553,c_2]) ).
tff(c_51622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51551,c_51614]) ).
tff(c_51624,plain,
sk_c7 = sk_c5,
inference(splitRight,[status(thm)],[c_51442]) ).
tff(c_51691,plain,
( ( inverse(inverse(sk_c5)) != sk_c5 )
| ( sk_c5 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51370,c_51624,c_51624,c_51141]) ).
tff(c_51692,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_51691]) ).
tff(c_51626,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_51624,c_51377]) ).
tff(c_51729,plain,
! [X_546,Z_547] : ( multiply(inverse(X_546),multiply(X_546,Z_547)) = Z_547 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50392]) ).
tff(c_51759,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_51626,c_51729]) ).
tff(c_51791,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51759]) ).
tff(c_51793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51692,c_51791]) ).
tff(c_51795,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_51691]) ).
tff(c_51623,plain,
inverse(identity) != sk_c7,
inference(splitRight,[status(thm)],[c_51442]) ).
tff(c_51649,plain,
inverse(identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_51624,c_51623]) ).
tff(c_51802,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_51795,c_51649]) ).
tff(c_50318,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_50322,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50318,c_4]) ).
tff(c_51633,plain,
multiply(sk_c5,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51624,c_50322]) ).
tff(c_51796,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51795,c_51633]) ).
tff(c_51873,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_51796,c_2]) ).
tff(c_51634,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_51624,c_50318]) ).
tff(c_51801,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51795,c_51634]) ).
tff(c_51882,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51873,c_51801]) ).
tff(c_51885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51802,c_51882]) ).
tff(c_51886,plain,
! [X4_7,X1_8,X2_9] :
( ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_51104]) ).
tff(c_52010,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_51886]) ).
tff(c_52156,plain,
! [X2_553] :
( ( multiply(X2_553,sk_c5) != identity )
| ( inverse(X2_553) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52138,c_52138,c_52010]) ).
tff(c_52173,plain,
inverse(inverse(sk_c5)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_52156]) ).
tff(c_52188,plain,
inverse(inverse(identity)) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_52150,c_52173]) ).
tff(c_52194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52190,c_52190,c_52188]) ).
tff(c_52195,plain,
! [X1_8,X4_7] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_51886]) ).
tff(c_52254,plain,
! [X4_7] :
( ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_52195]) ).
tff(c_52347,plain,
! [X4_556] :
( ( inverse(X4_556) != identity )
| ( multiply(X4_556,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52336,c_52327,c_52336,c_52254]) ).
tff(c_52369,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_52347]) ).
tff(c_52412,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52370,c_52369]) ).
tff(c_52413,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_52195]) ).
tff(c_52476,plain,
! [X1_557] :
( ( multiply(X1_557,identity) != sk_c5 )
| ( inverse(X1_557) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52440,c_52454,c_52440,c_52413]) ).
tff(c_52492,plain,
( ( sk_c5 != identity )
| ( inverse(identity) != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_52476]) ).
tff(c_52505,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_52466,c_52466,c_52492]) ).
tff(c_51959,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_51887]) ).
tff(c_52459,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_52454,c_51950]) ).
tff(c_52465,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51959,c_52459]) ).
tff(c_52464,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52454,c_50283]) ).
tff(c_52506,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52465,c_52464]) ).
tff(c_52507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52505,c_52506]) ).
tff(c_52509,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_52515,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_52509,c_28]) ).
tff(c_52585,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52515,c_68]) ).
tff(c_52586,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_52585]) ).
tff(c_52508,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_52566,plain,
! [Z_560] : ( multiply(sk_c7,multiply(sk_c3,Z_560)) = multiply(identity,Z_560) ),
inference(superposition,[status(thm),theory(equality)],[c_50300,c_52542]) ).
tff(c_52635,plain,
! [Z_563] : ( multiply(sk_c7,multiply(sk_c3,Z_563)) = Z_563 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52566]) ).
tff(c_52650,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_52508,c_52635]) ).
tff(c_52610,plain,
! [Z_562] : ( multiply(sk_c3,multiply(sk_c6,Z_562)) = multiply(sk_c7,Z_562) ),
inference(superposition,[status(thm),theory(equality)],[c_52508,c_52542]) ).
tff(c_52628,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_52515,c_52610]) ).
tff(c_52661,plain,
multiply(sk_c3,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_52650,c_52628]) ).
tff(c_52580,plain,
! [Z_560] : ( multiply(sk_c7,multiply(sk_c3,Z_560)) = Z_560 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52566]) ).
tff(c_52665,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_52661,c_52580]) ).
tff(c_52672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52586,c_52665]) ).
tff(c_52674,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_52585]) ).
tff(c_52682,plain,
! [Z_564] : ( multiply(sk_c7,multiply(sk_c3,Z_564)) = Z_564 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52566]) ).
tff(c_52694,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_52508,c_52682]) ).
tff(c_52977,plain,
! [Z_570] : ( multiply(sk_c3,multiply(sk_c6,Z_570)) = multiply(sk_c7,Z_570) ),
inference(superposition,[status(thm),theory(equality)],[c_52508,c_52542]) ).
tff(c_52992,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_52515,c_52977]) ).
tff(c_53021,plain,
multiply(sk_c3,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_52694,c_52992]) ).
tff(c_52569,plain,
! [Z_560] : ( multiply(sk_c6,multiply(sk_c4,Z_560)) = multiply(identity,Z_560) ),
inference(superposition,[status(thm),theory(equality)],[c_50288,c_52542]) ).
tff(c_53033,plain,
! [Z_571] : ( multiply(sk_c6,multiply(sk_c4,Z_571)) = Z_571 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52569]) ).
tff(c_53048,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_50311,c_53033]) ).
tff(c_52560,plain,
! [Z_560] : ( multiply(sk_c3,multiply(sk_c6,Z_560)) = multiply(sk_c7,Z_560) ),
inference(superposition,[status(thm),theory(equality)],[c_52508,c_52542]) ).
tff(c_53162,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_53048,c_52560]) ).
tff(c_53168,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_52674,c_53021,c_53162]) ).
tff(c_53170,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_53168,c_53168,c_53048]) ).
tff(c_53977,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_53170,c_53950]) ).
tff(c_54000,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53977]) ).
tff(c_53260,plain,
! [X_573,Z_574] : ( multiply(inverse(X_573),multiply(X_573,Z_574)) = Z_574 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52572]) ).
tff(c_53287,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_53170,c_53260]) ).
tff(c_53310,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53287]) ).
tff(c_53546,plain,
! [X_578,Z_579] : ( multiply(inverse(inverse(X_578)),Z_579) = multiply(X_578,Z_579) ),
inference(superposition,[status(thm),theory(equality)],[c_53260,c_52582]) ).
tff(c_53302,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53260]) ).
tff(c_53553,plain,
! [X_578] : ( multiply(X_578,identity) = X_578 ),
inference(superposition,[status(thm),theory(equality)],[c_53546,c_53302]) ).
tff(c_53172,plain,
multiply(sk_c3,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_53168,c_53021]) ).
tff(c_53178,plain,
multiply(sk_c3,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53168,c_52508]) ).
tff(c_53225,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_53172,c_53178]) ).
tff(c_53056,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_53048,c_52560]) ).
tff(c_53062,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_53021,c_52674,c_53056]) ).
tff(c_53075,plain,
inverse(sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_53062,c_50283]) ).
tff(c_53073,plain,
multiply(sk_c4,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_53062,c_50311]) ).
tff(c_53066,plain,
multiply(sk_c3,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_53062,c_53021]) ).
tff(c_53072,plain,
multiply(sk_c3,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53062,c_52508]) ).
tff(c_53119,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_53066,c_53072]) ).
tff(c_52706,plain,
! [Z_565] : ( multiply(sk_c6,multiply(sk_c4,Z_565)) = Z_565 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52569]) ).
tff(c_52718,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_50311,c_52706]) ).
tff(c_52751,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_52718,c_52560]) ).
tff(c_52757,plain,
multiply(sk_c3,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_52674,c_52751]) ).
tff(c_52722,plain,
! [Z_566] : ( multiply(sk_c3,multiply(sk_c6,Z_566)) = multiply(sk_c7,Z_566) ),
inference(superposition,[status(thm),theory(equality)],[c_52508,c_52542]) ).
tff(c_52740,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_52515,c_52722]) ).
tff(c_52747,plain,
multiply(sk_c3,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_52694,c_52740]) ).
tff(c_52770,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_52757,c_52747]) ).
tff(c_52788,plain,
multiply(sk_c3,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_52770,c_52508]) ).
tff(c_52792,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_52757,c_52788]) ).
tff(c_52786,plain,
multiply(sk_c7,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_52770,c_52674]) ).
tff(c_52879,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_52792,c_52786]) ).
tff(c_52883,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_52879,c_52582]) ).
tff(c_52889,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52883]) ).
tff(c_52898,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52889,c_52792]) ).
tff(c_52673,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_52585]) ).
tff(c_52698,plain,
multiply(sk_c7,sk_c5) != sk_c6,
inference(splitLeft,[status(thm)],[c_52673]) ).
tff(c_52785,plain,
multiply(sk_c7,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_52770,c_52698]) ).
tff(c_52974,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52898,c_52889,c_52889,c_52785]) ).
tff(c_52975,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_52673]) ).
tff(c_53052,plain,
! [X3_6] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_52975]) ).
tff(c_53132,plain,
! [X3_572] :
( ( inverse(X3_572) != sk_c5 )
| ( multiply(X3_572,sk_c5) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53119,c_53062,c_53119,c_53052]) ).
tff(c_53135,plain,
inverse(sk_c4) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_53073,c_53132]) ).
tff(c_53157,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53075,c_53135]) ).
tff(c_53158,plain,
! [X4_7,X1_8,X2_9] :
( ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_52975]) ).
tff(c_53237,plain,
! [X4_7,X1_8,X2_9] :
( ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( multiply(X1_8,sk_c5) != sk_c5 )
| ( inverse(X1_8) != sk_c5 )
| ( multiply(X2_9,sk_c5) != sk_c5 )
| ( inverse(X2_9) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53168,c_53168,c_53225,c_53225,c_53168,c_53225,c_53225,c_53158]) ).
tff(c_53238,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c5) != sk_c5 )
| ( inverse(X2_9) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_53237]) ).
tff(c_53926,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_53310,c_53553,c_53310,c_53310,c_53238]) ).
tff(c_53230,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_53225,c_50296]) ).
tff(c_53242,plain,
multiply(sk_c5,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53230,c_4]) ).
tff(c_53312,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53310,c_53242]) ).
tff(c_53427,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_53312,c_2]) ).
tff(c_53314,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53310,c_53230]) ).
tff(c_53438,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53427,c_53314]) ).
tff(c_53928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53926,c_53438]) ).
tff(c_53929,plain,
! [X1_8,X4_7] :
( ( multiply(X1_8,sk_c5) != sk_c5 )
| ( inverse(X1_8) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_53237]) ).
tff(c_64370,plain,
! [X1_8,X4_7] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54212,c_54000,c_54000,c_54000,c_54000,c_54212,c_54000,c_54000,c_53929]) ).
tff(c_64372,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_64370]) ).
tff(c_53181,plain,
inverse(sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_53168,c_50283]) ).
tff(c_53189,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53181,c_4]) ).
tff(c_54010,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54000,c_53189]) ).
tff(c_54099,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_54010,c_52582]) ).
tff(c_54111,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54099]) ).
tff(c_54011,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54000,c_53181]) ).
tff(c_54115,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54111,c_54011]) ).
tff(c_64374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64372,c_54115]) ).
tff(c_64376,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_64370]) ).
tff(c_64378,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64376,c_54115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 21:51:52 EDT 2023
% 0.14/0.36 % CPUTime :
% 16.06/6.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.12/6.99
% 16.12/6.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.30/7.08
% 16.30/7.08 Inference rules
% 16.30/7.08 ----------------------
% 16.30/7.08 #Ref : 0
% 16.30/7.08 #Sup : 15921
% 16.30/7.08 #Fact : 0
% 16.30/7.08 #Define : 0
% 16.30/7.08 #Split : 59
% 16.30/7.08 #Chain : 0
% 16.30/7.08 #Close : 0
% 16.30/7.08
% 16.30/7.08 Ordering : KBO
% 16.30/7.08
% 16.30/7.08 Simplification rules
% 16.30/7.08 ----------------------
% 16.30/7.08 #Subsume : 18
% 16.30/7.08 #Demod : 41417
% 16.30/7.08 #Tautology : 12479
% 16.30/7.08 #SimpNegUnit : 119
% 16.30/7.08 #BackRed : 940
% 16.30/7.08
% 16.30/7.08 #Partial instantiations: 0
% 16.30/7.08 #Strategies tried : 1
% 16.30/7.08
% 16.30/7.08 Timing (in seconds)
% 16.30/7.08 ----------------------
% 16.30/7.08 Preprocessing : 0.50
% 16.30/7.08 Parsing : 0.20
% 16.30/7.08 CNF conversion : 0.02
% 16.30/7.08 Main loop : 5.29
% 16.30/7.08 Inferencing : 1.46
% 16.30/7.08 Reduction : 2.96
% 16.30/7.08 Demodulation : 2.71
% 16.30/7.08 BG Simplification : 0.13
% 16.30/7.08 Subsumption : 0.48
% 16.30/7.08 Abstraction : 0.31
% 16.30/7.08 MUC search : 0.00
% 16.30/7.08 Cooper : 0.00
% 16.30/7.08 Total : 5.99
% 16.30/7.08 Index Insertion : 0.00
% 16.30/7.08 Index Deletion : 0.00
% 16.30/7.08 Index Matching : 0.00
% 16.30/7.08 BG Taut test : 0.00
%------------------------------------------------------------------------------