TSTP Solution File: GRP246-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP246-1 : 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 : n015.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 10:40:38 EDT 2023
% Result : Unsatisfiable 91.70s 76.78s
% Output : CNFRefutation 92.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 58
% Syntax : Number of formulae : 817 ( 645 unt; 14 typ; 0 def)
% Number of atoms : 1238 (1191 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 928 ( 493 ~; 435 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 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 : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 462 (; 462 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c11 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c11,type,
sk_c11: $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c6) = sk_c11 ) ),
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_182,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c6) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c11 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_269,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( multiply(X4,sk_c11) != sk_c10 )
| ( inverse(X4) != sk_c11 )
| ( multiply(X5,sk_c10) != sk_c9 )
| ( inverse(X5) != sk_c10 )
| ( inverse(X6) != sk_c11 )
| ( multiply(X6,sk_c9) != sk_c11 )
| ( multiply(X1,sk_c11) != sk_c10 )
| ( inverse(X1) != sk_c11 )
| ( multiply(X2,sk_c10) != sk_c9 )
| ( inverse(X2) != sk_c10 )
| ( inverse(X3) != sk_c11 )
| ( multiply(X3,sk_c10) != sk_c11 )
| ( multiply(X7,X8) != sk_c10 )
| ( inverse(X7) != X8 )
| ( multiply(X8,sk_c9) != sk_c10 ) ),
file(unknown,unknown) ).
tff(f_212,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c11 )
| ( inverse(sk_c6) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_215,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c11 )
| ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c6) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c5,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c4,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c4) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c11 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c4,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c4) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c6) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c5,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c4,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c4,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c4) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c6) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c5,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_32,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_155,plain,
inverse(sk_c1) = sk_c11,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_159,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_155,c_4]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_16,plain,
( ( inverse(sk_c6) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_179,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_131678,plain,
! [X_540,Y_541,Z_542] : ( multiply(multiply(X_540,Y_541),Z_542) = multiply(X_540,multiply(Y_541,Z_542)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_131723,plain,
! [Z_542] : ( multiply(sk_c11,multiply(sk_c1,Z_542)) = multiply(identity,Z_542) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_131678]) ).
tff(c_131749,plain,
! [Z_543] : ( multiply(sk_c11,multiply(sk_c1,Z_543)) = Z_543 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131723]) ).
tff(c_131761,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_179,c_131749]) ).
tff(c_131732,plain,
! [X_2,Z_542] : ( multiply(inverse(X_2),multiply(X_2,Z_542)) = multiply(identity,Z_542) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_131678]) ).
tff(c_133107,plain,
! [X_572,Z_573] : ( multiply(inverse(X_572),multiply(X_572,Z_573)) = Z_573 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131732]) ).
tff(c_133191,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_131761,c_133107]) ).
tff(c_133261,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_133191]) ).
tff(c_132096,plain,
! [Z_558] : ( multiply(sk_c1,multiply(sk_c11,Z_558)) = multiply(sk_c10,Z_558) ),
inference(superposition,[status(thm),theory(equality)],[c_179,c_131678]) ).
tff(c_132132,plain,
multiply(sk_c10,sk_c1) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_159,c_132096]) ).
tff(c_133281,plain,
multiply(sk_c1,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_133261,c_132132]) ).
tff(c_133298,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133281]) ).
tff(c_133286,plain,
multiply(sk_c11,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_133261,c_131761]) ).
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_86,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_133,plain,
inverse(sk_c3) = sk_c11,
inference(splitLeft,[status(thm)],[c_86]) ).
tff(c_137,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133,c_4]) ).
tff(c_132135,plain,
multiply(sk_c10,sk_c3) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_137,c_132096]) ).
tff(c_130380,plain,
! [X_514,Y_515,Z_516] : ( multiply(multiply(X_514,Y_515),Z_516) = multiply(X_514,multiply(Y_515,Z_516)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_130428,plain,
! [Z_516] : ( multiply(sk_c11,multiply(sk_c1,Z_516)) = multiply(identity,Z_516) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_130380]) ).
tff(c_130454,plain,
! [Z_517] : ( multiply(sk_c11,multiply(sk_c1,Z_517)) = Z_517 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130428]) ).
tff(c_130466,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_179,c_130454]) ).
tff(c_130437,plain,
! [X_2,Z_516] : ( multiply(inverse(X_2),multiply(X_2,Z_516)) = multiply(identity,Z_516) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_130380]) ).
tff(c_131046,plain,
! [X_535,Z_536] : ( multiply(inverse(X_535),multiply(X_535,Z_536)) = Z_536 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130437]) ).
tff(c_131118,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_130466,c_131046]) ).
tff(c_131185,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_131118]) ).
tff(c_70,plain,
( ( inverse(sk_c6) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_147,plain,
inverse(sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_151,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_147,c_4]) ).
tff(c_131219,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131185,c_151]) ).
tff(c_131377,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_131219,c_2]) ).
tff(c_128382,plain,
! [X_477,Y_478,Z_479] : ( multiply(multiply(X_477,Y_478),Z_479) = multiply(X_477,multiply(Y_478,Z_479)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_128430,plain,
! [Z_479] : ( multiply(sk_c11,multiply(sk_c1,Z_479)) = multiply(identity,Z_479) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_128382]) ).
tff(c_128456,plain,
! [Z_480] : ( multiply(sk_c11,multiply(sk_c1,Z_480)) = Z_480 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_128430]) ).
tff(c_128468,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_179,c_128456]) ).
tff(c_128439,plain,
! [X_2,Z_479] : ( multiply(inverse(X_2),multiply(X_2,Z_479)) = multiply(identity,Z_479) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_128382]) ).
tff(c_129581,plain,
! [X_507,Z_508] : ( multiply(inverse(X_507),multiply(X_507,Z_508)) = Z_508 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_128439]) ).
tff(c_129686,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_128468,c_129581]) ).
tff(c_129767,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_129686]) ).
tff(c_128619,plain,
! [Z_488] : ( multiply(sk_c1,multiply(sk_c11,Z_488)) = multiply(sk_c10,Z_488) ),
inference(superposition,[status(thm),theory(equality)],[c_179,c_128382]) ).
tff(c_128652,plain,
multiply(sk_c10,sk_c1) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_159,c_128619]) ).
tff(c_129821,plain,
multiply(sk_c1,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_129767,c_128652]) ).
tff(c_129836,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129821]) ).
tff(c_128655,plain,
multiply(sk_c10,sk_c3) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_137,c_128619]) ).
tff(c_129820,plain,
multiply(sk_c1,identity) = multiply(identity,sk_c3),
inference(demodulation,[status(thm),theory(equality)],[c_129767,c_128655]) ).
tff(c_129835,plain,
multiply(sk_c1,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129820]) ).
tff(c_130202,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_129836,c_129835]) ).
tff(c_58,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_186,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_128433,plain,
! [Z_479] : ( multiply(sk_c10,multiply(sk_c2,Z_479)) = multiply(identity,Z_479) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_128382]) ).
tff(c_128479,plain,
! [Z_481] : ( multiply(sk_c10,multiply(sk_c2,Z_481)) = Z_481 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_128433]) ).
tff(c_128491,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_186,c_128479]) ).
tff(c_129680,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_128491,c_129581]) ).
tff(c_129766,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_129680]) ).
tff(c_232,plain,
! [X_16,Y_17,Z_18] : ( multiply(multiply(X_16,Y_17),Z_18) = multiply(X_16,multiply(Y_17,Z_18)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_256,plain,
! [Z_18] : ( multiply(sk_c11,multiply(sk_c1,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_232]) ).
tff(c_278,plain,
! [Z_19] : ( multiply(sk_c11,multiply(sk_c1,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_256]) ).
tff(c_290,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_179,c_278]) ).
tff(c_265,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_232]) ).
tff(c_645,plain,
! [X_29,Z_30] : ( multiply(inverse(X_29),multiply(X_29,Z_30)) = Z_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_265]) ).
tff(c_675,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_290,c_645]) ).
tff(c_719,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_675]) ).
tff(c_253,plain,
! [Z_18] : ( multiply(sk_c1,multiply(sk_c11,Z_18)) = multiply(sk_c10,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_179,c_232]) ).
tff(c_2086,plain,
! [Z_54] : ( multiply(sk_c1,multiply(sk_c11,Z_54)) = Z_54 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_719,c_253]) ).
tff(c_2113,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_159,c_2086]) ).
tff(c_693,plain,
multiply(inverse(sk_c11),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_159,c_645]) ).
tff(c_705,plain,
multiply(inverse(sk_c11),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_137,c_645]) ).
tff(c_2074,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_693,c_705]) ).
tff(c_259,plain,
! [Z_18] : ( multiply(sk_c10,multiply(sk_c2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_232]) ).
tff(c_301,plain,
! [Z_20] : ( multiply(sk_c10,multiply(sk_c2,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_259]) ).
tff(c_313,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_186,c_301]) ).
tff(c_669,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_313,c_645]) ).
tff(c_718,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_669]) ).
tff(c_104,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( multiply(sk_c3,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_199,plain,
multiply(sk_c3,sk_c9) = sk_c11,
inference(splitLeft,[status(thm)],[c_104]) ).
tff(c_728,plain,
multiply(sk_c3,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_718,c_199]) ).
tff(c_2076,plain,
multiply(sk_c1,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2074,c_728]) ).
tff(c_2137,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2113,c_2076]) ).
tff(c_2161,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2137,c_155]) ).
tff(c_1885,plain,
multiply(sk_c1,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_719,c_179]) ).
tff(c_2158,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2137,c_1885]) ).
tff(c_276,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_265]) ).
tff(c_2259,plain,
! [X_57,Z_58] : ( multiply(inverse(inverse(X_57)),Z_58) = multiply(X_57,Z_58) ),
inference(superposition,[status(thm),theory(equality)],[c_276,c_645]) ).
tff(c_711,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_645]) ).
tff(c_2266,plain,
! [X_57] : ( multiply(X_57,identity) = X_57 ),
inference(superposition,[status(thm),theory(equality)],[c_2259,c_711]) ).
tff(c_1049,plain,
! [X_35,Z_36] : ( multiply(inverse(inverse(X_35)),Z_36) = multiply(X_35,Z_36) ),
inference(superposition,[status(thm),theory(equality)],[c_645,c_276]) ).
tff(c_1056,plain,
! [X_35] : ( multiply(X_35,identity) = X_35 ),
inference(superposition,[status(thm),theory(equality)],[c_1049,c_711]) ).
tff(c_403,plain,
! [X_24,Z_25] : ( multiply(inverse(X_24),multiply(X_24,Z_25)) = Z_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_265]) ).
tff(c_472,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_403]) ).
tff(c_433,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_290,c_403]) ).
tff(c_477,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_433]) ).
tff(c_427,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_313,c_403]) ).
tff(c_476,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_427]) ).
tff(c_116,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( inverse(X4_13) != sk_c11 )
| ( multiply(X4_13,sk_c11) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_348,plain,
! [X4_22] :
( ( inverse(X4_22) != sk_c11 )
| ( multiply(X4_22,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_358,plain,
inverse(sk_c1) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_179,c_348]) ).
tff(c_370,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155,c_358]) ).
tff(c_371,plain,
! [X5_6,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_379,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_371]) ).
tff(c_561,plain,
! [X7_27] :
( ( multiply(inverse(X7_27),identity) != identity )
| ( multiply(X7_27,inverse(X7_27)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_477,c_477,c_476,c_379]) ).
tff(c_566,plain,
multiply(identity,inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_472,c_561]) ).
tff(c_577,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_566]) ).
tff(c_532,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_477,c_147]) ).
tff(c_543,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_532,c_4]) ).
tff(c_601,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_543,c_276]) ).
tff(c_613,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_601]) ).
tff(c_617,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_613,c_532]) ).
tff(c_620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_577,c_617]) ).
tff(c_621,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_371]) ).
tff(c_734,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_718,c_718,c_718,c_621]) ).
tff(c_735,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != identity ) ),
inference(splitLeft,[status(thm)],[c_734]) ).
tff(c_1879,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1056,c_719,c_719,c_735]) ).
tff(c_740,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_719,c_147]) ).
tff(c_751,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_740,c_4]) ).
tff(c_759,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_751,c_276]) ).
tff(c_771,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_759]) ).
tff(c_775,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_771,c_740]) ).
tff(c_1881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1879,c_775]) ).
tff(c_1882,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != identity )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_734]) ).
tff(c_42397,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( sk_c1 != X3_8 )
| ( inverse(X3_8) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2137,c_2266,c_2137,c_719,c_2266,c_719,c_719,c_2137,c_719,c_2137,c_2137,c_2266,c_2137,c_1882]) ).
tff(c_42399,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_42397]) ).
tff(c_42401,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42399,c_2161]) ).
tff(c_42402,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_42397]) ).
tff(c_125956,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_42402]) ).
tff(c_125958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125956,c_2161]) ).
tff(c_125959,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_42402]) ).
tff(c_125961,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_125959]) ).
tff(c_1886,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_719,c_151]) ).
tff(c_1971,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_1886,c_2]) ).
tff(c_1887,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_719,c_147]) ).
tff(c_1982,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1971,c_1887]) ).
tff(c_125963,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125961,c_1982]) ).
tff(c_128187,plain,
! [X1_476] :
( ( inverse(X1_476) != sk_c1 )
| ( multiply(X1_476,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_125959]) ).
tff(c_128257,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_2158,c_128187]) ).
tff(c_128287,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2161,c_128257]) ).
tff(c_128289,plain,
multiply(sk_c3,sk_c9) != sk_c11,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_129803,plain,
multiply(sk_c3,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_129766,c_128289]) ).
tff(c_130266,plain,
sk_c11 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_129836,c_130202,c_129803]) ).
tff(c_106,plain,
( ( inverse(sk_c6) = sk_c11 )
| ( multiply(sk_c3,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_128335,plain,
inverse(sk_c6) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_128289,c_106]) ).
tff(c_128339,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_128335,c_4]) ).
tff(c_128646,plain,
multiply(sk_c10,sk_c6) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_128339,c_128619]) ).
tff(c_129818,plain,
multiply(sk_c1,identity) = multiply(identity,sk_c6),
inference(demodulation,[status(thm),theory(equality)],[c_129767,c_128646]) ).
tff(c_129833,plain,
multiply(sk_c1,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129818]) ).
tff(c_130239,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_129836,c_129833]) ).
tff(c_108,plain,
( ( multiply(sk_c6,sk_c10) = sk_c11 )
| ( multiply(sk_c3,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_128343,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_128289,c_108]) ).
tff(c_129828,plain,
multiply(sk_c6,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_129767,c_128343]) ).
tff(c_130271,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_129836,c_130239,c_129828]) ).
tff(c_130272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130266,c_130271]) ).
tff(c_130274,plain,
multiply(sk_c2,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_54,plain,
( ( multiply(sk_c6,sk_c10) = sk_c11 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_130346,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_130274,c_54]) ).
tff(c_52,plain,
( ( inverse(sk_c6) = sk_c11 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_130326,plain,
inverse(sk_c6) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_130274,c_52]) ).
tff(c_130330,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_130326,c_4]) ).
tff(c_130410,plain,
! [Z_516] : ( multiply(sk_c11,multiply(sk_c6,Z_516)) = multiply(identity,Z_516) ),
inference(superposition,[status(thm),theory(equality)],[c_130330,c_130380]) ).
tff(c_130837,plain,
! [Z_530] : ( multiply(sk_c11,multiply(sk_c6,Z_530)) = Z_530 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130410]) ).
tff(c_130852,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_130346,c_130837]) ).
tff(c_130286,plain,
multiply(sk_c3,sk_c9) = sk_c11,
inference(splitLeft,[status(thm)],[c_106]) ).
tff(c_130434,plain,
! [Z_516] : ( multiply(sk_c11,multiply(sk_c3,Z_516)) = multiply(identity,Z_516) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_130380]) ).
tff(c_130577,plain,
! [Z_523] : ( multiply(sk_c11,multiply(sk_c3,Z_523)) = Z_523 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130434]) ).
tff(c_130589,plain,
multiply(sk_c11,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_130286,c_130577]) ).
tff(c_130872,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_130852,c_130589]) ).
tff(c_130888,plain,
multiply(sk_c2,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_130872,c_130274]) ).
tff(c_131200,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_131185,c_131185,c_130888]) ).
tff(c_131577,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131377,c_131200]) ).
tff(c_131579,plain,
multiply(sk_c3,sk_c9) != sk_c11,
inference(splitRight,[status(thm)],[c_106]) ).
tff(c_131646,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_131579,c_108]) ).
tff(c_132231,plain,
! [Z_560] : ( multiply(sk_c6,multiply(sk_c10,Z_560)) = multiply(sk_c11,Z_560) ),
inference(superposition,[status(thm),theory(equality)],[c_131646,c_131678]) ).
tff(c_132249,plain,
multiply(sk_c6,multiply(sk_c1,identity)) = multiply(sk_c11,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_132135,c_132231]) ).
tff(c_132275,plain,
multiply(sk_c6,multiply(sk_c1,identity)) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_137,c_132249]) ).
tff(c_132454,plain,
! [Z_5] : ( multiply(sk_c6,multiply(multiply(sk_c1,identity),Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_132275,c_6]) ).
tff(c_132499,plain,
! [Z_565] : ( multiply(sk_c6,multiply(sk_c1,Z_565)) = Z_565 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_6,c_132454]) ).
tff(c_131578,plain,
inverse(sk_c6) = sk_c11,
inference(splitRight,[status(thm)],[c_106]) ).
tff(c_131583,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_131578,c_4]) ).
tff(c_131714,plain,
! [Z_542] : ( multiply(sk_c11,multiply(sk_c6,Z_542)) = multiply(identity,Z_542) ),
inference(superposition,[status(thm),theory(equality)],[c_131583,c_131678]) ).
tff(c_131742,plain,
! [Z_542] : ( multiply(sk_c11,multiply(sk_c6,Z_542)) = Z_542 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131714]) ).
tff(c_132505,plain,
! [Z_565] : ( multiply(sk_c11,Z_565) = multiply(sk_c1,Z_565) ),
inference(superposition,[status(thm),theory(equality)],[c_132499,c_131742]) ).
tff(c_133462,plain,
multiply(sk_c1,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_133286,c_132505]) ).
tff(c_133472,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_133298,c_133462]) ).
tff(c_133488,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_133472,c_155]) ).
tff(c_133239,plain,
multiply(inverse(sk_c11),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_137,c_133107]) ).
tff(c_133543,plain,
multiply(inverse(sk_c1),identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_133472,c_133239]) ).
tff(c_133577,plain,
multiply(sk_c1,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_133488,c_133543]) ).
tff(c_133578,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_133298,c_133577]) ).
tff(c_132080,plain,
! [Z_557] : ( multiply(sk_c11,multiply(sk_c6,Z_557)) = Z_557 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131714]) ).
tff(c_132092,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_131646,c_132080]) ).
tff(c_132781,plain,
! [Z_569] : ( multiply(sk_c11,Z_569) = multiply(sk_c1,Z_569) ),
inference(superposition,[status(thm),theory(equality)],[c_132499,c_131742]) ).
tff(c_48,plain,
( ( multiply(sk_c5,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_131654,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_130274,c_48]) ).
tff(c_50,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_131599,plain,
inverse(sk_c5) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_130274,c_50]) ).
tff(c_131603,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_131599,c_4]) ).
tff(c_131708,plain,
! [Z_542] : ( multiply(sk_c10,multiply(sk_c5,Z_542)) = multiply(identity,Z_542) ),
inference(superposition,[status(thm),theory(equality)],[c_131603,c_131678]) ).
tff(c_131865,plain,
! [Z_550] : ( multiply(sk_c10,multiply(sk_c5,Z_550)) = Z_550 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131708]) ).
tff(c_131877,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_131654,c_131865]) ).
tff(c_132258,plain,
multiply(sk_c6,sk_c10) = multiply(sk_c11,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_131877,c_132231]) ).
tff(c_132278,plain,
multiply(sk_c11,sk_c9) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_131646,c_132258]) ).
tff(c_132787,plain,
multiply(sk_c1,sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_132781,c_132278]) ).
tff(c_131744,plain,
! [Z_542] : ( multiply(sk_c11,multiply(sk_c1,Z_542)) = Z_542 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131723]) ).
tff(c_132868,plain,
multiply(sk_c11,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_132787,c_131744]) ).
tff(c_132874,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_132092,c_132868]) ).
tff(c_132916,plain,
multiply(sk_c3,sk_c10) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_132874,c_131579]) ).
tff(c_133763,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_133298,c_133578,c_133472,c_133261,c_132916]) ).
tff(c_133765,plain,
multiply(sk_c1,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_8,plain,
( ( multiply(sk_c4,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_134766,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_133765,c_8]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_133778,plain,
inverse(sk_c4) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_133765,c_10]) ).
tff(c_133782,plain,
multiply(sk_c11,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133778,c_4]) ).
tff(c_134794,plain,
! [X_594,Y_595,Z_596] : ( multiply(multiply(X_594,Y_595),Z_596) = multiply(X_594,multiply(Y_595,Z_596)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_134833,plain,
! [Z_596] : ( multiply(sk_c11,multiply(sk_c4,Z_596)) = multiply(identity,Z_596) ),
inference(superposition,[status(thm),theory(equality)],[c_133782,c_134794]) ).
tff(c_135072,plain,
! [Z_607] : ( multiply(sk_c11,multiply(sk_c4,Z_607)) = Z_607 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134833]) ).
tff(c_135084,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_134766,c_135072]) ).
tff(c_134848,plain,
! [X_2,Z_596] : ( multiply(inverse(X_2),multiply(X_2,Z_596)) = multiply(identity,Z_596) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_134794]) ).
tff(c_135203,plain,
! [X_612,Z_613] : ( multiply(inverse(X_612),multiply(X_612,Z_613)) = Z_613 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134848]) ).
tff(c_135239,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_135084,c_135203]) ).
tff(c_135342,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_135239]) ).
tff(c_134815,plain,
! [Z_596] : ( multiply(sk_c4,multiply(sk_c11,Z_596)) = multiply(sk_c10,Z_596) ),
inference(superposition,[status(thm),theory(equality)],[c_134766,c_134794]) ).
tff(c_135510,plain,
! [Z_616] : ( multiply(sk_c4,multiply(sk_c11,Z_616)) = Z_616 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135342,c_134815]) ).
tff(c_135546,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_159,c_135510]) ).
tff(c_135540,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_133782,c_135510]) ).
tff(c_135922,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_135546,c_135540]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c10) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_133866,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_133765,c_18]) ).
tff(c_133764,plain,
inverse(sk_c6) = sk_c11,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_133769,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133764,c_4]) ).
tff(c_133878,plain,
! [X_577,Y_578,Z_579] : ( multiply(multiply(X_577,Y_578),Z_579) = multiply(X_577,multiply(Y_578,Z_579)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_133923,plain,
! [Z_579] : ( multiply(sk_c11,multiply(sk_c6,Z_579)) = multiply(identity,Z_579) ),
inference(superposition,[status(thm),theory(equality)],[c_133769,c_133878]) ).
tff(c_134128,plain,
! [Z_588] : ( multiply(sk_c11,multiply(sk_c6,Z_588)) = Z_588 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133923]) ).
tff(c_134140,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_133866,c_134128]) ).
tff(c_112,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_133821,plain,
multiply(sk_c3,sk_c9) = sk_c11,
inference(splitLeft,[status(thm)],[c_112]) ).
tff(c_133932,plain,
! [Z_579] : ( multiply(sk_c11,multiply(sk_c3,Z_579)) = multiply(identity,Z_579) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_133878]) ).
tff(c_134066,plain,
! [Z_585] : ( multiply(sk_c11,multiply(sk_c3,Z_585)) = Z_585 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133932]) ).
tff(c_134078,plain,
multiply(sk_c11,sk_c11) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_133821,c_134066]) ).
tff(c_134144,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_134140,c_134078]) ).
tff(c_24,plain,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_133854,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_133765,c_24]) ).
tff(c_134155,plain,
multiply(sk_c8,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_134144,c_133854]) ).
tff(c_20,plain,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_133861,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_133765,c_20]) ).
tff(c_22,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_133831,plain,
inverse(sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_133765,c_22]) ).
tff(c_133835,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133831,c_4]) ).
tff(c_133908,plain,
! [Z_579] : ( multiply(sk_c8,multiply(sk_c7,Z_579)) = multiply(identity,Z_579) ),
inference(superposition,[status(thm),theory(equality)],[c_133835,c_133878]) ).
tff(c_134105,plain,
! [Z_587] : ( multiply(sk_c8,multiply(sk_c7,Z_587)) = Z_587 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133908]) ).
tff(c_134117,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_133861,c_134105]) ).
tff(c_134182,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_134155,c_134117]) ).
tff(c_134219,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_134182,c_134155]) ).
tff(c_133935,plain,
! [X_2,Z_579] : ( multiply(inverse(X_2),multiply(X_2,Z_579)) = multiply(identity,Z_579) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_133878]) ).
tff(c_134265,plain,
! [X_590,Z_591] : ( multiply(inverse(X_590),multiply(X_590,Z_591)) = Z_591 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133935]) ).
tff(c_134289,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_134219,c_134265]) ).
tff(c_134372,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_134289]) ).
tff(c_134397,plain,
multiply(sk_c1,sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_134372,c_133765]) ).
tff(c_133847,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_133765,c_8]) ).
tff(c_133905,plain,
! [Z_579] : ( multiply(sk_c4,multiply(sk_c11,Z_579)) = multiply(sk_c10,Z_579) ),
inference(superposition,[status(thm),theory(equality)],[c_133847,c_133878]) ).
tff(c_134570,plain,
! [Z_593] : ( multiply(sk_c4,multiply(sk_c11,Z_593)) = Z_593 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134372,c_133905]) ).
tff(c_134603,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_159,c_134570]) ).
tff(c_134597,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_133782,c_134570]) ).
tff(c_134725,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_134603,c_134597]) ).
tff(c_134394,plain,
multiply(sk_c4,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_134372,c_133847]) ).
tff(c_134728,plain,
multiply(sk_c1,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_134725,c_134394]) ).
tff(c_134732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134397,c_134728]) ).
tff(c_134734,plain,
multiply(sk_c3,sk_c9) != sk_c11,
inference(splitRight,[status(thm)],[c_112]) ).
tff(c_134771,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_134734,c_108]) ).
tff(c_134836,plain,
! [Z_596] : ( multiply(sk_c11,multiply(sk_c6,Z_596)) = multiply(identity,Z_596) ),
inference(superposition,[status(thm),theory(equality)],[c_133769,c_134794]) ).
tff(c_135116,plain,
! [Z_609] : ( multiply(sk_c11,multiply(sk_c6,Z_609)) = Z_609 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134836]) ).
tff(c_135128,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_134771,c_135116]) ).
tff(c_135408,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_135342,c_135128]) ).
tff(c_135509,plain,
! [Z_596] : ( multiply(sk_c4,multiply(sk_c11,Z_596)) = Z_596 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135342,c_134815]) ).
tff(c_135616,plain,
multiply(sk_c4,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_135408,c_135509]) ).
tff(c_135785,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_135546,c_135616]) ).
tff(c_135814,plain,
inverse(sk_c4) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_135785,c_133778]) ).
tff(c_135895,plain,
multiply(sk_c1,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_135814,c_4]) ).
tff(c_135931,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_135922,c_135895]) ).
tff(c_135418,plain,
multiply(sk_c1,sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_135342,c_133765]) ).
tff(c_135805,plain,
multiply(sk_c1,sk_c1) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_135785,c_135418]) ).
tff(c_135958,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_135931,c_135805]) ).
tff(c_135960,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_26,plain,
( ( multiply(sk_c4,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_136051,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_135960,c_26]) ).
tff(c_28,plain,
( ( inverse(sk_c4) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_135977,plain,
inverse(sk_c4) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_135960,c_28]) ).
tff(c_135981,plain,
multiply(sk_c11,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_135977,c_4]) ).
tff(c_136078,plain,
! [X_620,Y_621,Z_622] : ( multiply(multiply(X_620,Y_621),Z_622) = multiply(X_620,multiply(Y_621,Z_622)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_136114,plain,
! [Z_622] : ( multiply(sk_c11,multiply(sk_c4,Z_622)) = multiply(identity,Z_622) ),
inference(superposition,[status(thm),theory(equality)],[c_135981,c_136078]) ).
tff(c_136477,plain,
! [Z_637] : ( multiply(sk_c11,multiply(sk_c4,Z_637)) = Z_637 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136114]) ).
tff(c_136489,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_136051,c_136477]) ).
tff(c_136126,plain,
! [X_2,Z_622] : ( multiply(inverse(X_2),multiply(X_2,Z_622)) = multiply(identity,Z_622) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_136078]) ).
tff(c_136539,plain,
! [X_639,Z_640] : ( multiply(inverse(X_639),multiply(X_639,Z_640)) = Z_640 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136126]) ).
tff(c_136560,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_136489,c_136539]) ).
tff(c_136660,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_136560]) ).
tff(c_36,plain,
( ( multiply(sk_c6,sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_136027,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_135960,c_36]) ).
tff(c_34,plain,
( ( inverse(sk_c6) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_135989,plain,
inverse(sk_c6) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_135960,c_34]) ).
tff(c_135993,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_135989,c_4]) ).
tff(c_136111,plain,
! [Z_622] : ( multiply(sk_c11,multiply(sk_c6,Z_622)) = multiply(identity,Z_622) ),
inference(superposition,[status(thm),theory(equality)],[c_135993,c_136078]) ).
tff(c_136232,plain,
! [Z_629] : ( multiply(sk_c11,multiply(sk_c6,Z_629)) = Z_629 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136111]) ).
tff(c_136244,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_136027,c_136232]) ).
tff(c_136680,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_136660,c_136244]) ).
tff(c_136096,plain,
! [Z_622] : ( multiply(sk_c4,multiply(sk_c11,Z_622)) = multiply(sk_c10,Z_622) ),
inference(superposition,[status(thm),theory(equality)],[c_136051,c_136078]) ).
tff(c_137892,plain,
! [Z_622] : ( multiply(sk_c4,multiply(sk_c11,Z_622)) = Z_622 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136660,c_136096]) ).
tff(c_138023,plain,
multiply(sk_c4,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_136680,c_137892]) ).
tff(c_137893,plain,
! [Z_659] : ( multiply(sk_c4,multiply(sk_c11,Z_659)) = Z_659 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136660,c_136096]) ).
tff(c_137923,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_135981,c_137893]) ).
tff(c_138095,plain,
sk_c4 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_138023,c_137923]) ).
tff(c_138117,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_138095,c_135977]) ).
tff(c_136140,plain,
! [X_2,Z_622] : ( multiply(inverse(X_2),multiply(X_2,Z_622)) = Z_622 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136126]) ).
tff(c_138243,plain,
! [X_663,Z_664] : ( multiply(inverse(inverse(X_663)),Z_664) = multiply(X_663,Z_664) ),
inference(superposition,[status(thm),theory(equality)],[c_136539,c_136140]) ).
tff(c_136653,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_136539]) ).
tff(c_138250,plain,
! [X_663] : ( multiply(X_663,identity) = X_663 ),
inference(superposition,[status(thm),theory(equality)],[c_138243,c_136653]) ).
tff(c_137182,plain,
! [X_646,Z_647] : ( multiply(inverse(inverse(X_646)),Z_647) = multiply(X_646,Z_647) ),
inference(superposition,[status(thm),theory(equality)],[c_136539,c_136140]) ).
tff(c_137189,plain,
! [X_646] : ( multiply(X_646,identity) = X_646 ),
inference(superposition,[status(thm),theory(equality)],[c_137182,c_136653]) ).
tff(c_30,plain,
( ( multiply(sk_c5,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_136045,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_135960,c_30]) ).
tff(c_135959,plain,
inverse(sk_c5) = sk_c10,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_135964,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_135959,c_4]) ).
tff(c_136117,plain,
! [Z_622] : ( multiply(sk_c10,multiply(sk_c5,Z_622)) = multiply(identity,Z_622) ),
inference(superposition,[status(thm),theory(equality)],[c_135964,c_136078]) ).
tff(c_136255,plain,
! [Z_630] : ( multiply(sk_c10,multiply(sk_c5,Z_630)) = Z_630 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136117]) ).
tff(c_136267,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_136045,c_136255]) ).
tff(c_136581,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_136267,c_136539]) ).
tff(c_136664,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_136581]) ).
tff(c_38,plain,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_136057,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_135960,c_38]) ).
tff(c_40,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_136002,plain,
inverse(sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_135960,c_40]) ).
tff(c_42,plain,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_136021,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_135960,c_42]) ).
tff(c_136185,plain,
! [X4_626] :
( ( inverse(X4_626) != sk_c11 )
| ( multiply(X4_626,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_136192,plain,
inverse(sk_c4) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_136051,c_136185]) ).
tff(c_136204,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_135977,c_136192]) ).
tff(c_136205,plain,
! [X5_6,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_136380,plain,
! [X7_634] :
( ( multiply(inverse(X7_634),sk_c9) != sk_c10 )
| ( multiply(X7_634,inverse(X7_634)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_136205]) ).
tff(c_136382,plain,
( ( multiply(sk_c8,sk_c9) != sk_c10 )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_136002,c_136380]) ).
tff(c_136398,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_136057,c_136002,c_136021,c_136382]) ).
tff(c_136399,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_136205]) ).
tff(c_136509,plain,
! [X5_638] :
( ( inverse(X5_638) != sk_c10 )
| ( multiply(X5_638,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_136399]) ).
tff(c_136522,plain,
inverse(sk_c5) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_136045,c_136509]) ).
tff(c_136537,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_135959,c_136522]) ).
tff(c_136538,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_136399]) ).
tff(c_136764,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136660,c_136664,c_136660,c_136660,c_136660,c_136664,c_136538]) ).
tff(c_136765,plain,
! [X3_8] :
( ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_136764]) ).
tff(c_137781,plain,
inverse(sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_137189,c_136765]) ).
tff(c_136920,plain,
! [Z_622] : ( multiply(sk_c4,multiply(sk_c11,Z_622)) = Z_622 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136660,c_136096]) ).
tff(c_137004,plain,
multiply(sk_c4,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_136680,c_136920]) ).
tff(c_136921,plain,
! [Z_643] : ( multiply(sk_c4,multiply(sk_c11,Z_643)) = Z_643 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136660,c_136096]) ).
tff(c_136951,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_135981,c_136921]) ).
tff(c_137044,plain,
sk_c4 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_137004,c_136951]) ).
tff(c_137067,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_137044,c_135977]) ).
tff(c_137783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137781,c_137067]) ).
tff(c_137784,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_136764]) ).
tff(c_189955,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( sk_c11 != X6_7 )
| ( inverse(X6_7) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138250,c_138250,c_137784]) ).
tff(c_189957,plain,
inverse(sk_c11) != sk_c11,
inference(splitLeft,[status(thm)],[c_189955]) ).
tff(c_189959,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189957,c_138117]) ).
tff(c_189960,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_189955]) ).
tff(c_189962,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_189960]) ).
tff(c_136689,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_136660,c_135959]) ).
tff(c_136430,plain,
! [Z_636] : ( multiply(sk_c5,multiply(sk_c10,Z_636)) = multiply(sk_c9,Z_636) ),
inference(superposition,[status(thm),theory(equality)],[c_136045,c_136078]) ).
tff(c_136457,plain,
multiply(sk_c9,sk_c2) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_151,c_136430]) ).
tff(c_136734,plain,
multiply(sk_c5,identity) = multiply(identity,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_136664,c_136457]) ).
tff(c_136737,plain,
multiply(sk_c5,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136734]) ).
tff(c_137800,plain,
multiply(inverse(sk_c5),sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_136737,c_136140]) ).
tff(c_137806,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136689,c_137800]) ).
tff(c_136690,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_136660,c_147]) ).
tff(c_137842,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_137806,c_136690]) ).
tff(c_189964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189962,c_137842]) ).
tff(c_189967,plain,
! [X1_918] :
( ( inverse(X1_918) != sk_c11 )
| ( multiply(X1_918,sk_c11) != identity ) ),
inference(splitRight,[status(thm)],[c_189960]) ).
tff(c_190029,plain,
inverse(sk_c11) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_136680,c_189967]) ).
tff(c_190057,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_138117,c_190029]) ).
tff(c_190059,plain,
inverse(sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_62,plain,
( ( multiply(sk_c4,sk_c11) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_190140,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_190059,c_62]) ).
tff(c_64,plain,
( ( inverse(sk_c4) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_190086,plain,
inverse(sk_c4) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_190059,c_64]) ).
tff(c_190090,plain,
multiply(sk_c11,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_190086,c_4]) ).
tff(c_190185,plain,
! [X_919,Y_920,Z_921] : ( multiply(multiply(X_919,Y_920),Z_921) = multiply(X_919,multiply(Y_920,Z_921)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_190221,plain,
! [Z_921] : ( multiply(sk_c11,multiply(sk_c4,Z_921)) = multiply(identity,Z_921) ),
inference(superposition,[status(thm),theory(equality)],[c_190090,c_190185]) ).
tff(c_190272,plain,
! [Z_923] : ( multiply(sk_c11,multiply(sk_c4,Z_923)) = Z_923 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_190221]) ).
tff(c_190284,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_190140,c_190272]) ).
tff(c_190233,plain,
! [X_2,Z_921] : ( multiply(inverse(X_2),multiply(X_2,Z_921)) = multiply(identity,Z_921) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_190185]) ).
tff(c_190700,plain,
! [X_935,Z_936] : ( multiply(inverse(X_935),multiply(X_935,Z_936)) = Z_936 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_190233]) ).
tff(c_190736,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_190284,c_190700]) ).
tff(c_190810,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_190736]) ).
tff(c_190831,plain,
multiply(sk_c11,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_190810,c_190284]) ).
tff(c_190796,plain,
multiply(inverse(sk_c11),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_137,c_190700]) ).
tff(c_190058,plain,
inverse(sk_c6) = sk_c11,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_190063,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_190058,c_4]) ).
tff(c_190790,plain,
multiply(inverse(sk_c11),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_190063,c_190700]) ).
tff(c_192193,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_190796,c_190790]) ).
tff(c_72,plain,
( ( multiply(sk_c6,sk_c10) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_190164,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_190059,c_72]) ).
tff(c_190833,plain,
multiply(sk_c6,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_190810,c_190164]) ).
tff(c_192195,plain,
multiply(sk_c3,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_192193,c_190833]) ).
tff(c_190778,plain,
multiply(inverse(sk_c11),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_190090,c_190700]) ).
tff(c_192223,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_190796,c_190778]) ).
tff(c_190209,plain,
! [Z_921] : ( multiply(sk_c4,multiply(sk_c11,Z_921)) = multiply(sk_c10,Z_921) ),
inference(superposition,[status(thm),theory(equality)],[c_190140,c_190185]) ).
tff(c_192253,plain,
! [Z_956] : ( multiply(sk_c3,multiply(sk_c11,Z_956)) = Z_956 ),
inference(demodulation,[status(thm),theory(equality)],[c_192223,c_2,c_190810,c_190209]) ).
tff(c_192286,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_137,c_192253]) ).
tff(c_192295,plain,
sk_c3 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_192195,c_192286]) ).
tff(c_190098,plain,
inverse(sk_c1) = sk_c11,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_190102,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_190098,c_4]) ).
tff(c_192283,plain,
multiply(sk_c3,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_190102,c_192253]) ).
tff(c_192335,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_190831,c_192295,c_192283]) ).
tff(c_192344,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_192335,c_190098]) ).
tff(c_190227,plain,
! [Z_921] : ( multiply(sk_c11,multiply(sk_c6,Z_921)) = multiply(identity,Z_921) ),
inference(superposition,[status(thm),theory(equality)],[c_190063,c_190185]) ).
tff(c_190373,plain,
! [Z_928] : ( multiply(sk_c11,multiply(sk_c6,Z_928)) = Z_928 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_190227]) ).
tff(c_190385,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_190164,c_190373]) ).
tff(c_190830,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_190810,c_190385]) ).
tff(c_192341,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_192335,c_192335,c_190830]) ).
tff(c_190247,plain,
! [X_2,Z_921] : ( multiply(inverse(X_2),multiply(X_2,Z_921)) = Z_921 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_190233]) ).
tff(c_192415,plain,
! [X_957,Z_958] : ( multiply(inverse(inverse(X_957)),Z_958) = multiply(X_957,Z_958) ),
inference(superposition,[status(thm),theory(equality)],[c_190700,c_190247]) ).
tff(c_190802,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_190700]) ).
tff(c_192422,plain,
! [X_957] : ( multiply(X_957,identity) = X_957 ),
inference(superposition,[status(thm),theory(equality)],[c_192415,c_190802]) ).
tff(c_191351,plain,
! [X_941,Z_942] : ( multiply(inverse(inverse(X_941)),Z_942) = multiply(X_941,Z_942) ),
inference(superposition,[status(thm),theory(equality)],[c_190700,c_190247]) ).
tff(c_191358,plain,
! [X_941] : ( multiply(X_941,identity) = X_941 ),
inference(superposition,[status(thm),theory(equality)],[c_191351,c_190802]) ).
tff(c_66,plain,
( ( multiply(sk_c5,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_190157,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_190059,c_66]) ).
tff(c_68,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_190072,plain,
inverse(sk_c5) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_190059,c_68]) ).
tff(c_190076,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_190072,c_4]) ).
tff(c_190224,plain,
! [Z_921] : ( multiply(sk_c10,multiply(sk_c5,Z_921)) = multiply(identity,Z_921) ),
inference(superposition,[status(thm),theory(equality)],[c_190076,c_190185]) ).
tff(c_190396,plain,
! [Z_929] : ( multiply(sk_c10,multiply(sk_c5,Z_929)) = Z_929 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_190224]) ).
tff(c_190408,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_190157,c_190396]) ).
tff(c_190721,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_190408,c_190700]) ).
tff(c_190809,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_190721]) ).
tff(c_190433,plain,
! [X_931,Z_932] : ( multiply(inverse(X_931),multiply(X_931,Z_932)) = Z_932 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_190233]) ).
tff(c_190469,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_190284,c_190433]) ).
tff(c_190543,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_190469]) ).
tff(c_190569,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_190543,c_190076]) ).
tff(c_190627,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_190569,c_190247]) ).
tff(c_190639,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_190627]) ).
tff(c_190570,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_190543,c_190072]) ).
tff(c_190674,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_190639,c_190570]) ).
tff(c_190454,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_190408,c_190433]) ).
tff(c_190542,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_190454]) ).
tff(c_190348,plain,
! [X4_927] :
( ( inverse(X4_927) != sk_c11 )
| ( multiply(X4_927,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_190358,plain,
inverse(sk_c4) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_190140,c_190348]) ).
tff(c_190371,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190086,c_190358]) ).
tff(c_190372,plain,
! [X5_6,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_190432,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_190372]) ).
tff(c_190642,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),identity) != identity )
| ( multiply(X7_9,inverse(X7_9)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190543,c_190543,c_190542,c_190432]) ).
tff(c_190687,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_190674,c_190642]) ).
tff(c_190698,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190674,c_2,c_2,c_190687]) ).
tff(c_190699,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_190372]) ).
tff(c_190844,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190810,c_190809,c_190810,c_190809,c_190810,c_190810,c_190809,c_190810,c_190810,c_190699]) ).
tff(c_190845,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_190844]) ).
tff(c_191958,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_191358,c_190845]) ).
tff(c_190837,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_190810,c_190072]) ).
tff(c_190852,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_190837,c_4]) ).
tff(c_190860,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_190852,c_190247]) ).
tff(c_190872,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_190860]) ).
tff(c_190876,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_190872,c_190837]) ).
tff(c_191960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191958,c_190876]) ).
tff(c_191961,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_190844]) ).
tff(c_233790,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( sk_c1 != X3_8 )
| ( inverse(X3_8) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192335,c_192422,c_192335,c_192422,c_192335,c_192335,c_192335,c_192422,c_192335,c_191961]) ).
tff(c_233792,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_233790]) ).
tff(c_233794,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_233792,c_192344]) ).
tff(c_233795,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_233790]) ).
tff(c_334805,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_233795]) ).
tff(c_334807,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_334805,c_192344]) ).
tff(c_334808,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_233795]) ).
tff(c_334810,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_334808]) ).
tff(c_190836,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_190810,c_190076]) ).
tff(c_191976,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_190836,c_190247]) ).
tff(c_191988,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_191976]) ).
tff(c_192021,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_191988,c_190837]) ).
tff(c_334812,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_334810,c_192021]) ).
tff(c_337588,plain,
! [X1_1414] :
( ( inverse(X1_1414) != sk_c1 )
| ( multiply(X1_1414,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_334808]) ).
tff(c_337662,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_192341,c_337588]) ).
tff(c_337693,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_192344,c_337662]) ).
tff(c_337695,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_337747,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_337695,c_30]) ).
tff(c_337778,plain,
! [X_1415,Y_1416,Z_1417] : ( multiply(multiply(X_1415,Y_1416),Z_1417) = multiply(X_1415,multiply(Y_1416,Z_1417)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_337814,plain,
! [Z_1417] : ( multiply(sk_c10,multiply(sk_c5,Z_1417)) = multiply(identity,Z_1417) ),
inference(superposition,[status(thm),theory(equality)],[c_190076,c_337778]) ).
tff(c_338013,plain,
! [Z_1426] : ( multiply(sk_c10,multiply(sk_c5,Z_1426)) = Z_1426 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_337814]) ).
tff(c_338025,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_337747,c_338013]) ).
tff(c_337823,plain,
! [X_2,Z_1417] : ( multiply(inverse(X_2),multiply(X_2,Z_1417)) = multiply(identity,Z_1417) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_337778]) ).
tff(c_338637,plain,
! [X_1436,Z_1437] : ( multiply(inverse(X_1436),multiply(X_1436,Z_1437)) = Z_1437 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_337823]) ).
tff(c_338712,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_338025,c_338637]) ).
tff(c_338805,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_338712]) ).
tff(c_337732,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_337695,c_36]) ).
tff(c_338239,plain,
! [Z_1431] : ( multiply(sk_c6,multiply(sk_c10,Z_1431)) = multiply(sk_c11,Z_1431) ),
inference(superposition,[status(thm),theory(equality)],[c_337732,c_337778]) ).
tff(c_338257,plain,
multiply(sk_c6,sk_c10) = multiply(sk_c11,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_338025,c_338239]) ).
tff(c_338268,plain,
multiply(sk_c11,sk_c9) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_337732,c_338257]) ).
tff(c_338910,plain,
multiply(sk_c11,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_338805,c_338268]) ).
tff(c_74,plain,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_337726,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_190059,c_74]) ).
tff(c_337694,plain,
inverse(sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_337699,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_337694,c_4]) ).
tff(c_337808,plain,
! [Z_1417] : ( multiply(sk_c8,multiply(sk_c7,Z_1417)) = multiply(identity,Z_1417) ),
inference(superposition,[status(thm),theory(equality)],[c_337699,c_337778]) ).
tff(c_337990,plain,
! [Z_1425] : ( multiply(sk_c8,multiply(sk_c7,Z_1425)) = Z_1425 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_337808]) ).
tff(c_338002,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_337726,c_337990]) ).
tff(c_338718,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_338002,c_338637]) ).
tff(c_338806,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_338718]) ).
tff(c_337817,plain,
! [Z_1417] : ( multiply(sk_c11,multiply(sk_c6,Z_1417)) = multiply(identity,Z_1417) ),
inference(superposition,[status(thm),theory(equality)],[c_190063,c_337778]) ).
tff(c_337923,plain,
! [Z_1422] : ( multiply(sk_c11,multiply(sk_c6,Z_1422)) = Z_1422 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_337817]) ).
tff(c_337935,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_337732,c_337923]) ).
tff(c_337942,plain,
! [Z_5] : ( multiply(sk_c11,multiply(sk_c11,Z_5)) = multiply(sk_c10,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_337935,c_6]) ).
tff(c_339921,plain,
! [Z_1455] : ( multiply(sk_c11,multiply(sk_c11,Z_1455)) = Z_1455 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_338806,c_337942]) ).
tff(c_339951,plain,
multiply(sk_c11,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_137,c_339921]) ).
tff(c_339959,plain,
sk_c3 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_338910,c_339951]) ).
tff(c_339966,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_339959,c_133]) ).
tff(c_338893,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_338806,c_337935]) ).
tff(c_337836,plain,
! [X_2,Z_1417] : ( multiply(inverse(X_2),multiply(X_2,Z_1417)) = Z_1417 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_337823]) ).
tff(c_340010,plain,
! [X_1456,Z_1457] : ( multiply(inverse(inverse(X_1456)),Z_1457) = multiply(X_1456,Z_1457) ),
inference(superposition,[status(thm),theory(equality)],[c_337836,c_338637]) ).
tff(c_338784,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_338637]) ).
tff(c_340017,plain,
! [X_1456] : ( multiply(X_1456,identity) = X_1456 ),
inference(superposition,[status(thm),theory(equality)],[c_340010,c_338784]) ).
tff(c_339158,plain,
! [X_1442,Z_1443] : ( multiply(inverse(inverse(X_1442)),Z_1443) = multiply(X_1442,Z_1443) ),
inference(superposition,[status(thm),theory(equality)],[c_338637,c_337836]) ).
tff(c_339165,plain,
! [X_1442] : ( multiply(X_1442,identity) = X_1442 ),
inference(superposition,[status(thm),theory(equality)],[c_339158,c_338784]) ).
tff(c_337714,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_337695,c_42]) ).
tff(c_337738,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_190059,c_62]) ).
tff(c_337898,plain,
! [X4_1421] :
( ( inverse(X4_1421) != sk_c11 )
| ( multiply(X4_1421,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_337908,plain,
inverse(sk_c4) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_337738,c_337898]) ).
tff(c_337921,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190086,c_337908]) ).
tff(c_337922,plain,
! [X5_6,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_338178,plain,
! [X7_1429] :
( ( multiply(inverse(X7_1429),sk_c9) != sk_c10 )
| ( multiply(X7_1429,inverse(X7_1429)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_337922]) ).
tff(c_338180,plain,
( ( multiply(sk_c8,sk_c9) != sk_c10 )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_337694,c_338178]) ).
tff(c_338194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_337726,c_337694,c_337714,c_338180]) ).
tff(c_338195,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_337922]) ).
tff(c_338441,plain,
! [X5_1433] :
( ( inverse(X5_1433) != sk_c10 )
| ( multiply(X5_1433,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_338195]) ).
tff(c_338463,plain,
inverse(sk_c5) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_337747,c_338441]) ).
tff(c_338480,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190072,c_338463]) ).
tff(c_338481,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_338195]) ).
tff(c_338594,plain,
! [X3_1435] :
( ( multiply(X3_1435,sk_c10) != sk_c11 )
| ( inverse(X3_1435) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_338481]) ).
tff(c_338619,plain,
inverse(sk_c6) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_337732,c_338594]) ).
tff(c_338635,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190058,c_338619]) ).
tff(c_338636,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_338481]) ).
tff(c_338919,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_338805,c_338806,c_338805,c_338806,c_338806,c_338636]) ).
tff(c_338920,plain,
! [X6_7] :
( ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_338919]) ).
tff(c_339720,plain,
inverse(sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_339165,c_338920]) ).
tff(c_339205,plain,
! [X_1444] : ( multiply(X_1444,identity) = X_1444 ),
inference(superposition,[status(thm),theory(equality)],[c_339158,c_338784]) ).
tff(c_337959,plain,
! [Z_1424] : ( multiply(sk_c4,multiply(sk_c11,Z_1424)) = multiply(sk_c10,Z_1424) ),
inference(superposition,[status(thm),theory(equality)],[c_337738,c_337778]) ).
tff(c_337986,plain,
multiply(sk_c4,identity) = multiply(sk_c10,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_137,c_337959]) ).
tff(c_337983,plain,
multiply(sk_c4,identity) = multiply(sk_c10,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_190063,c_337959]) ).
tff(c_338304,plain,
multiply(sk_c10,sk_c6) = multiply(sk_c10,sk_c3),
inference(demodulation,[status(thm),theory(equality)],[c_337986,c_337983]) ).
tff(c_338685,plain,
multiply(inverse(sk_c10),multiply(sk_c10,sk_c3)) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_338304,c_338637]) ).
tff(c_338797,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_337836,c_338685]) ).
tff(c_338822,plain,
multiply(sk_c3,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_338797,c_337732]) ).
tff(c_339031,plain,
multiply(sk_c3,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_338806,c_338822]) ).
tff(c_339218,plain,
sk_c3 = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_339205,c_339031]) ).
tff(c_337980,plain,
multiply(sk_c4,identity) = multiply(sk_c10,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_190090,c_337959]) ).
tff(c_338280,plain,
multiply(sk_c10,sk_c4) = multiply(sk_c10,sk_c3),
inference(demodulation,[status(thm),theory(equality)],[c_337986,c_337980]) ).
tff(c_338691,plain,
multiply(inverse(sk_c10),multiply(sk_c10,sk_c3)) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_338280,c_338637]) ).
tff(c_338799,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_337836,c_338691]) ).
tff(c_338760,plain,
multiply(inverse(sk_c11),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_190090,c_338637]) ).
tff(c_339117,plain,
multiply(inverse(sk_c11),identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_338799,c_338760]) ).
tff(c_339215,plain,
inverse(sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_339205,c_339117]) ).
tff(c_339354,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_339218,c_339215]) ).
tff(c_339722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_339720,c_339354]) ).
tff(c_339723,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_338919]) ).
tff(c_355966,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_340017,c_339723]) ).
tff(c_355968,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_355966]) ).
tff(c_338787,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_338637]) ).
tff(c_338898,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_338806,c_190072]) ).
tff(c_339794,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_338898,c_338784]) ).
tff(c_339803,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_338787,c_339794]) ).
tff(c_339805,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_339803,c_338898]) ).
tff(c_355970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355968,c_339805]) ).
tff(c_355972,plain,
! [X1_1581] :
( ( inverse(X1_1581) != sk_c11 )
| ( multiply(X1_1581,sk_c11) != identity ) ),
inference(splitRight,[status(thm)],[c_355966]) ).
tff(c_356016,plain,
inverse(sk_c11) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_338893,c_355972]) ).
tff(c_356040,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_339966,c_356016]) ).
tff(c_356042,plain,
inverse(sk_c3) != sk_c11,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_80,plain,
( ( multiply(sk_c4,sk_c11) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_472092,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_356042,c_80]) ).
tff(c_82,plain,
( ( inverse(sk_c4) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_472053,plain,
inverse(sk_c4) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_356042,c_82]) ).
tff(c_472057,plain,
multiply(sk_c11,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_472053,c_4]) ).
tff(c_472152,plain,
! [X_2022,Y_2023,Z_2024] : ( multiply(multiply(X_2022,Y_2023),Z_2024) = multiply(X_2022,multiply(Y_2023,Z_2024)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_472185,plain,
! [Z_2024] : ( multiply(sk_c11,multiply(sk_c4,Z_2024)) = multiply(identity,Z_2024) ),
inference(superposition,[status(thm),theory(equality)],[c_472057,c_472152]) ).
tff(c_472346,plain,
! [Z_2031] : ( multiply(sk_c11,multiply(sk_c4,Z_2031)) = Z_2031 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_472185]) ).
tff(c_472358,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_472092,c_472346]) ).
tff(c_472197,plain,
! [X_2,Z_2024] : ( multiply(inverse(X_2),multiply(X_2,Z_2024)) = multiply(identity,Z_2024) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_472152]) ).
tff(c_472660,plain,
! [X_2038,Z_2039] : ( multiply(inverse(X_2038),multiply(X_2038,Z_2039)) = Z_2039 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_472197]) ).
tff(c_472681,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_472358,c_472660]) ).
tff(c_472760,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_472681]) ).
tff(c_356141,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_356042,c_80]) ).
tff(c_356095,plain,
inverse(sk_c4) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_356042,c_82]) ).
tff(c_356099,plain,
multiply(sk_c11,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_356095,c_4]) ).
tff(c_356182,plain,
! [X_1582,Y_1583,Z_1584] : ( multiply(multiply(X_1582,Y_1583),Z_1584) = multiply(X_1582,multiply(Y_1583,Z_1584)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_356215,plain,
! [Z_1584] : ( multiply(sk_c11,multiply(sk_c4,Z_1584)) = multiply(identity,Z_1584) ),
inference(superposition,[status(thm),theory(equality)],[c_356099,c_356182]) ).
tff(c_356348,plain,
! [Z_1589] : ( multiply(sk_c11,multiply(sk_c4,Z_1589)) = Z_1589 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356215]) ).
tff(c_356360,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_356141,c_356348]) ).
tff(c_356230,plain,
! [X_2,Z_1584] : ( multiply(inverse(X_2),multiply(X_2,Z_1584)) = multiply(identity,Z_1584) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_356182]) ).
tff(c_356705,plain,
! [X_1599,Z_1600] : ( multiply(inverse(X_1599),multiply(X_1599,Z_1600)) = Z_1600 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356230]) ).
tff(c_356735,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_356360,c_356705]) ).
tff(c_356815,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_356735]) ).
tff(c_356836,plain,
multiply(sk_c11,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_356815,c_356360]) ).
tff(c_90,plain,
( ( multiply(sk_c6,sk_c10) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_356146,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_356042,c_90]) ).
tff(c_88,plain,
( ( inverse(sk_c6) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_356081,plain,
inverse(sk_c6) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_356042,c_88]) ).
tff(c_356085,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_356081,c_4]) ).
tff(c_356218,plain,
! [Z_1584] : ( multiply(sk_c11,multiply(sk_c6,Z_1584)) = multiply(identity,Z_1584) ),
inference(superposition,[status(thm),theory(equality)],[c_356085,c_356182]) ).
tff(c_356269,plain,
! [Z_1586] : ( multiply(sk_c11,multiply(sk_c6,Z_1586)) = Z_1586 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356218]) ).
tff(c_356281,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_356146,c_356269]) ).
tff(c_356837,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_356815,c_356281]) ).
tff(c_356203,plain,
! [Z_1584] : ( multiply(sk_c4,multiply(sk_c11,Z_1584)) = multiply(sk_c10,Z_1584) ),
inference(superposition,[status(thm),theory(equality)],[c_356141,c_356182]) ).
tff(c_358265,plain,
! [Z_1622] : ( multiply(sk_c4,multiply(sk_c11,Z_1622)) = Z_1622 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356815,c_356203]) ).
tff(c_358283,plain,
multiply(sk_c4,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_356837,c_358265]) ).
tff(c_358295,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_356099,c_358265]) ).
tff(c_358359,plain,
sk_c4 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_358283,c_358295]) ).
tff(c_356050,plain,
inverse(sk_c1) = sk_c11,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_356054,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_356050,c_4]) ).
tff(c_358301,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_356054,c_358265]) ).
tff(c_358414,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_356836,c_358359,c_358301]) ).
tff(c_358422,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_358414,c_356050]) ).
tff(c_358443,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_358422,c_4]) ).
tff(c_356244,plain,
! [X_2,Z_1584] : ( multiply(inverse(X_2),multiply(X_2,Z_1584)) = Z_1584 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356230]) ).
tff(c_358508,plain,
! [X_1624,Z_1625] : ( multiply(inverse(inverse(X_1624)),Z_1625) = multiply(X_1624,Z_1625) ),
inference(superposition,[status(thm),theory(equality)],[c_356244,c_356705]) ).
tff(c_356807,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_356705]) ).
tff(c_358515,plain,
! [X_1624] : ( multiply(X_1624,identity) = X_1624 ),
inference(superposition,[status(thm),theory(equality)],[c_358508,c_356807]) ).
tff(c_357294,plain,
! [X_1605,Z_1606] : ( multiply(inverse(inverse(X_1605)),Z_1606) = multiply(X_1605,Z_1606) ),
inference(superposition,[status(thm),theory(equality)],[c_356244,c_356705]) ).
tff(c_357301,plain,
! [X_1605] : ( multiply(X_1605,identity) = X_1605 ),
inference(superposition,[status(thm),theory(equality)],[c_357294,c_356807]) ).
tff(c_84,plain,
( ( multiply(sk_c5,sk_c10) = sk_c9 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_356122,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_356042,c_84]) ).
tff(c_356041,plain,
inverse(sk_c5) = sk_c10,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_356046,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_356041,c_4]) ).
tff(c_356227,plain,
! [Z_1584] : ( multiply(sk_c10,multiply(sk_c5,Z_1584)) = multiply(identity,Z_1584) ),
inference(superposition,[status(thm),theory(equality)],[c_356046,c_356182]) ).
tff(c_356371,plain,
! [Z_1590] : ( multiply(sk_c10,multiply(sk_c5,Z_1590)) = Z_1590 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356227]) ).
tff(c_356383,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_356122,c_356371]) ).
tff(c_356729,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_356383,c_356705]) ).
tff(c_356814,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_356729]) ).
tff(c_356421,plain,
! [X_1593,Z_1594] : ( multiply(inverse(X_1593),multiply(X_1593,Z_1594)) = Z_1594 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356230]) ).
tff(c_356526,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_356421]) ).
tff(c_92,plain,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_356161,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_356042,c_92]) ).
tff(c_94,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_356108,plain,
inverse(sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_356042,c_94]) ).
tff(c_356112,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_356108,c_4]) ).
tff(c_356212,plain,
! [Z_1584] : ( multiply(sk_c8,multiply(sk_c7,Z_1584)) = multiply(identity,Z_1584) ),
inference(superposition,[status(thm),theory(equality)],[c_356112,c_356182]) ).
tff(c_356246,plain,
! [Z_1585] : ( multiply(sk_c8,multiply(sk_c7,Z_1585)) = Z_1585 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356212]) ).
tff(c_356258,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_356161,c_356246]) ).
tff(c_356463,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_356258,c_356421]) ).
tff(c_356532,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_356463]) ).
tff(c_356445,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_356383,c_356421]) ).
tff(c_356530,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_356445]) ).
tff(c_356316,plain,
! [X4_1588] :
( ( inverse(X4_1588) != sk_c11 )
| ( multiply(X4_1588,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_356326,plain,
inverse(sk_c4) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_356141,c_356316]) ).
tff(c_356339,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_356095,c_356326]) ).
tff(c_356340,plain,
! [X5_6,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_356394,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_356340]) ).
tff(c_356624,plain,
! [X7_1596] :
( ( multiply(inverse(X7_1596),identity) != identity )
| ( multiply(X7_1596,inverse(X7_1596)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_356532,c_356532,c_356530,c_356394]) ).
tff(c_356631,plain,
multiply(identity,inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_356526,c_356624]) ).
tff(c_356648,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_356631]) ).
tff(c_356596,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_356532,c_356046]) ).
tff(c_356664,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_356596,c_2]) ).
tff(c_356597,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_356532,c_356041]) ).
tff(c_356674,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_356664,c_356597]) ).
tff(c_356677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_356648,c_356674]) ).
tff(c_356678,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_356340]) ).
tff(c_356850,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_356815,c_356814,c_356815,c_356814,c_356815,c_356815,c_356814,c_356815,c_356815,c_356678]) ).
tff(c_356851,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_356850]) ).
tff(c_357990,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_357301,c_356851]) ).
tff(c_356845,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_356815,c_356041]) ).
tff(c_356859,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_356845,c_4]) ).
tff(c_356876,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_356859,c_356244]) ).
tff(c_356888,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_356876]) ).
tff(c_356892,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_356888,c_356845]) ).
tff(c_357992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_357990,c_356892]) ).
tff(c_357993,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_356850]) ).
tff(c_400195,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( sk_c1 != X3_8 )
| ( inverse(X3_8) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358414,c_358515,c_358414,c_358515,c_358414,c_358414,c_358414,c_358515,c_358414,c_357993]) ).
tff(c_400197,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_400195]) ).
tff(c_400199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_400197,c_358422]) ).
tff(c_400200,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_400195]) ).
tff(c_471910,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_400200]) ).
tff(c_471912,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_471910,c_358422]) ).
tff(c_471913,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_400200]) ).
tff(c_471915,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_471913]) ).
tff(c_356844,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_356815,c_356046]) ).
tff(c_358110,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_356844,c_356244]) ).
tff(c_358122,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_358110]) ).
tff(c_358127,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_358122,c_356845]) ).
tff(c_471917,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_471915,c_358127]) ).
tff(c_471920,plain,
! [X1_2021] :
( ( inverse(X1_2021) != sk_c1 )
| ( multiply(X1_2021,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_471913]) ).
tff(c_471990,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_358443,c_471920]) ).
tff(c_472020,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_358422,c_471990]) ).
tff(c_472022,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_472098,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_472022,c_36]) ).
tff(c_472069,plain,
inverse(sk_c6) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_472022,c_34]) ).
tff(c_472073,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_472069,c_4]) ).
tff(c_472182,plain,
! [Z_2024] : ( multiply(sk_c11,multiply(sk_c6,Z_2024)) = multiply(identity,Z_2024) ),
inference(superposition,[status(thm),theory(equality)],[c_472073,c_472152]) ).
tff(c_472212,plain,
! [Z_2025] : ( multiply(sk_c11,multiply(sk_c6,Z_2025)) = Z_2025 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_472182]) ).
tff(c_472224,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_472098,c_472212]) ).
tff(c_472777,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_472760,c_472224]) ).
tff(c_472176,plain,
! [Z_2024] : ( multiply(sk_c4,multiply(sk_c11,Z_2024)) = multiply(sk_c10,Z_2024) ),
inference(superposition,[status(thm),theory(equality)],[c_472092,c_472152]) ).
tff(c_474189,plain,
! [Z_2061] : ( multiply(sk_c4,multiply(sk_c11,Z_2061)) = Z_2061 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_472760,c_472176]) ).
tff(c_474210,plain,
multiply(sk_c4,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_472777,c_474189]) ).
tff(c_474219,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_472057,c_474189]) ).
tff(c_474258,plain,
sk_c4 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_474210,c_474219]) ).
tff(c_474281,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_474258,c_472053]) ).
tff(c_472210,plain,
! [X_2,Z_2024] : ( multiply(inverse(X_2),multiply(X_2,Z_2024)) = Z_2024 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_472197]) ).
tff(c_474360,plain,
! [X_2063,Z_2064] : ( multiply(inverse(inverse(X_2063)),Z_2064) = multiply(X_2063,Z_2064) ),
inference(superposition,[status(thm),theory(equality)],[c_472660,c_472210]) ).
tff(c_472753,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_472660]) ).
tff(c_474367,plain,
! [X_2063] : ( multiply(X_2063,identity) = X_2063 ),
inference(superposition,[status(thm),theory(equality)],[c_474360,c_472753]) ).
tff(c_472087,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_356042,c_84]) ).
tff(c_472194,plain,
! [Z_2024] : ( multiply(sk_c10,multiply(sk_c5,Z_2024)) = multiply(identity,Z_2024) ),
inference(superposition,[status(thm),theory(equality)],[c_356046,c_472152]) ).
tff(c_472323,plain,
! [Z_2030] : ( multiply(sk_c10,multiply(sk_c5,Z_2030)) = Z_2030 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_472194]) ).
tff(c_472335,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_472087,c_472323]) ).
tff(c_472687,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_472335,c_472660]) ).
tff(c_472761,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_472687]) ).
tff(c_473242,plain,
! [X_2044,Z_2045] : ( multiply(inverse(inverse(X_2044)),Z_2045) = multiply(X_2044,Z_2045) ),
inference(superposition,[status(thm),theory(equality)],[c_472660,c_472210]) ).
tff(c_473249,plain,
! [X_2044] : ( multiply(X_2044,identity) = X_2044 ),
inference(superposition,[status(thm),theory(equality)],[c_473242,c_472753]) ).
tff(c_472383,plain,
! [X_2033,Z_2034] : ( multiply(inverse(X_2033),multiply(X_2033,Z_2034)) = Z_2034 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_472197]) ).
tff(c_472479,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_472383]) ).
tff(c_472404,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_472358,c_472383]) ).
tff(c_472483,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_472404]) ).
tff(c_472410,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_472335,c_472383]) ).
tff(c_472484,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_472410]) ).
tff(c_472275,plain,
! [X4_2028] :
( ( inverse(X4_2028) != sk_c11 )
| ( multiply(X4_2028,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_472285,plain,
inverse(sk_c4) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_472092,c_472275]) ).
tff(c_472298,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_472053,c_472285]) ).
tff(c_472299,plain,
! [X5_6,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_472362,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_472299]) ).
tff(c_472576,plain,
! [X7_2036] :
( ( multiply(inverse(X7_2036),identity) != identity )
| ( multiply(X7_2036,inverse(X7_2036)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_472483,c_472484,c_472483,c_472362]) ).
tff(c_472583,plain,
multiply(identity,inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_472479,c_472576]) ).
tff(c_472598,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_472583]) ).
tff(c_472545,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_472483,c_356041]) ).
tff(c_472561,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_472545,c_4]) ).
tff(c_472619,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_472561,c_472210]) ).
tff(c_472631,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_472619]) ).
tff(c_472635,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_472631,c_472545]) ).
tff(c_472638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_472598,c_472635]) ).
tff(c_472639,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_472299]) ).
tff(c_472791,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_472760,c_472760,c_472760,c_472760,c_472760,c_472760,c_472639]) ).
tff(c_472792,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_472791]) ).
tff(c_473870,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_473249,c_472761,c_472792]) ).
tff(c_472786,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_472760,c_356041]) ).
tff(c_472804,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_472786,c_4]) ).
tff(c_472811,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_472804,c_472210]) ).
tff(c_472823,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_472811]) ).
tff(c_472827,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_472823,c_472786]) ).
tff(c_473872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_473870,c_472827]) ).
tff(c_473873,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,sk_c9) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != sk_c9 )
| ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_472791]) ).
tff(c_532247,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( sk_c11 != X6_7 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( sk_c11 != X3_8 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_474367,c_474367,c_472761,c_474367,c_472761,c_473873]) ).
tff(c_532249,plain,
inverse(sk_c11) != sk_c11,
inference(splitLeft,[status(thm)],[c_532247]) ).
tff(c_532251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_532249,c_474281]) ).
tff(c_532252,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( sk_c11 != X6_7 )
| ( inverse(X6_7) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_532247]) ).
tff(c_534287,plain,
inverse(sk_c11) != sk_c11,
inference(splitLeft,[status(thm)],[c_532252]) ).
tff(c_534289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_534287,c_474281]) ).
tff(c_534290,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_532252]) ).
tff(c_534292,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_534290]) ).
tff(c_473904,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_472786,c_4]) ).
tff(c_473921,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_473904,c_472210]) ).
tff(c_473933,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_473921]) ).
tff(c_473937,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_473933,c_472786]) ).
tff(c_534294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_534292,c_473937]) ).
tff(c_535752,plain,
! [X1_2341] :
( ( inverse(X1_2341) != sk_c11 )
| ( multiply(X1_2341,sk_c11) != identity ) ),
inference(splitRight,[status(thm)],[c_534290]) ).
tff(c_535814,plain,
inverse(sk_c11) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_472777,c_535752]) ).
tff(c_535842,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_474281,c_535814]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP246-1 : 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
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 22:11:29 EDT 2023
% 0.15/0.36 % CPUTime :
% 91.70/76.78 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 92.13/76.88
% 92.13/76.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 92.24/76.97
% 92.24/76.97 Inference rules
% 92.24/76.97 ----------------------
% 92.24/76.97 #Ref : 0
% 92.24/76.97 #Sup : 127041
% 92.24/76.97 #Fact : 0
% 92.24/76.97 #Define : 0
% 92.24/76.97 #Split : 71
% 92.24/76.97 #Chain : 0
% 92.24/76.97 #Close : 0
% 92.24/76.97
% 92.24/76.97 Ordering : KBO
% 92.24/76.97
% 92.24/76.97 Simplification rules
% 92.24/76.97 ----------------------
% 92.24/76.97 #Subsume : 21
% 92.24/76.97 #Demod : 518125
% 92.24/76.97 #Tautology : 106213
% 92.24/76.97 #SimpNegUnit : 130
% 92.24/76.97 #BackRed : 934
% 92.24/76.97
% 92.24/76.97 #Partial instantiations: 0
% 92.24/76.97 #Strategies tried : 1
% 92.24/76.97
% 92.24/76.97 Timing (in seconds)
% 92.24/76.97 ----------------------
% 92.24/76.98 Preprocessing : 0.56
% 92.24/76.98 Parsing : 0.21
% 92.24/76.98 CNF conversion : 0.03
% 92.24/76.98 Main loop : 75.21
% 92.24/76.98 Inferencing : 9.68
% 92.24/76.98 Reduction : 58.56
% 92.24/76.98 Demodulation : 56.84
% 92.24/76.98 BG Simplification : 0.63
% 92.24/76.98 Subsumption : 4.59
% 92.24/76.98 Abstraction : 2.63
% 92.24/76.98 MUC search : 0.00
% 92.24/76.98 Cooper : 0.00
% 92.24/76.98 Total : 75.97
% 92.24/76.98 Index Insertion : 0.00
% 92.24/76.98 Index Deletion : 0.00
% 92.24/76.98 Index Matching : 0.00
% 92.24/76.98 BG Taut test : 0.00
%------------------------------------------------------------------------------