TSTP Solution File: GRP218-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP218-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n008.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 10:40:30 EDT 2023
% Result : Unsatisfiable 15.15s 6.15s
% Output : CNFRefutation 15.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 51
% Syntax : Number of formulae : 643 ( 510 unt; 13 typ; 0 def)
% Number of atoms : 889 ( 850 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 555 ( 296 ~; 259 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 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 : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 387 (; 387 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c4,sk_c10) = sk_c5 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c10,sk_c5) = sk_c9 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( inverse(X4) != sk_c10 )
| ( multiply(X4,sk_c9) != sk_c10 )
| ( multiply(X5,X6) != sk_c9 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c10) != sk_c9 )
| ( multiply(sk_c10,X7) != sk_c9 )
| ( multiply(X8,sk_c10) != X7 )
| ( inverse(X8) != sk_c10 )
| ( inverse(X1) != sk_c10 )
| ( multiply(X1,sk_c9) != sk_c10 )
| ( multiply(sk_c10,X2) != sk_c9 )
| ( multiply(X3,sk_c10) != X2 )
| ( inverse(X3) != sk_c10 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c10,sk_c5) = sk_c9 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c10,sk_c5) = sk_c9 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c10,sk_c5) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c4,sk_c10) = sk_c5 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c4,sk_c10) = sk_c5 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c4,sk_c10) = sk_c5 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c4,sk_c10) = sk_c5 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_69474,plain,
! [X_936,Y_937,Z_938] : ( multiply(multiply(X_936,Y_937),Z_938) = multiply(X_936,multiply(Y_937,Z_938)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_69510,plain,
! [X_2,Z_938] : ( multiply(inverse(X_2),multiply(X_2,Z_938)) = multiply(identity,Z_938) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_69474]) ).
tff(c_69522,plain,
! [X_2,Z_938] : ( multiply(inverse(X_2),multiply(X_2,Z_938)) = Z_938 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69510]) ).
tff(c_72541,plain,
! [X_983,Z_984] : ( multiply(inverse(X_983),multiply(X_983,Z_984)) = Z_984 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69510]) ).
tff(c_72891,plain,
! [X_987,Z_988] : ( multiply(inverse(inverse(X_987)),Z_988) = multiply(X_987,Z_988) ),
inference(superposition,[status(thm),theory(equality)],[c_69522,c_72541]) ).
tff(c_72915,plain,
! [X_987] : ( multiply(X_987,inverse(X_987)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_72891,c_4]) ).
tff(c_58379,plain,
! [X_810,Y_811,Z_812] : ( multiply(multiply(X_810,Y_811),Z_812) = multiply(X_810,multiply(Y_811,Z_812)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_58415,plain,
! [X_2,Z_812] : ( multiply(inverse(X_2),multiply(X_2,Z_812)) = multiply(identity,Z_812) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_58379]) ).
tff(c_61575,plain,
! [X_859,Z_860] : ( multiply(inverse(X_859),multiply(X_859,Z_860)) = Z_860 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58415]) ).
tff(c_58427,plain,
! [X_2,Z_812] : ( multiply(inverse(X_2),multiply(X_2,Z_812)) = Z_812 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58415]) ).
tff(c_61936,plain,
! [X_864,Z_865] : ( multiply(inverse(inverse(X_864)),Z_865) = multiply(X_864,Z_865) ),
inference(superposition,[status(thm),theory(equality)],[c_61575,c_58427]) ).
tff(c_61983,plain,
! [X_864] : ( multiply(X_864,inverse(X_864)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_61936]) ).
tff(c_47781,plain,
! [X_664,Y_665,Z_666] : ( multiply(multiply(X_664,Y_665),Z_666) = multiply(X_664,multiply(Y_665,Z_666)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_47817,plain,
! [X_2,Z_666] : ( multiply(inverse(X_2),multiply(X_2,Z_666)) = multiply(identity,Z_666) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47781]) ).
tff(c_50247,plain,
! [X_717,Z_718] : ( multiply(inverse(X_717),multiply(X_717,Z_718)) = Z_718 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47817]) ).
tff(c_47829,plain,
! [X_2,Z_666] : ( multiply(inverse(X_2),multiply(X_2,Z_666)) = Z_666 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47817]) ).
tff(c_50363,plain,
! [X_721,Z_722] : ( multiply(inverse(inverse(X_721)),Z_722) = multiply(X_721,Z_722) ),
inference(superposition,[status(thm),theory(equality)],[c_50247,c_47829]) ).
tff(c_50271,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_50247]) ).
tff(c_50406,plain,
! [X_723] : ( multiply(X_723,identity) = X_723 ),
inference(superposition,[status(thm),theory(equality)],[c_50363,c_50271]) ).
tff(c_46,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_47706,plain,
inverse(sk_c2) = sk_c3,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_68,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_145,plain,
multiply(sk_c4,sk_c10) = sk_c5,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_86,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_117,plain,
inverse(sk_c4) = sk_c10,
inference(splitLeft,[status(thm)],[c_86]) ).
tff(c_121,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_117,c_4]) ).
tff(c_25157,plain,
! [X_346,Y_347,Z_348] : ( multiply(multiply(X_346,Y_347),Z_348) = multiply(X_346,multiply(Y_347,Z_348)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_25199,plain,
! [Z_348] : ( multiply(sk_c10,multiply(sk_c4,Z_348)) = multiply(identity,Z_348) ),
inference(superposition,[status(thm),theory(equality)],[c_121,c_25157]) ).
tff(c_25317,plain,
! [Z_354] : ( multiply(sk_c10,multiply(sk_c4,Z_354)) = Z_354 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25199]) ).
tff(c_25329,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_145,c_25317]) ).
tff(c_23325,plain,
! [X_309,Y_310,Z_311] : ( multiply(multiply(X_309,Y_310),Z_311) = multiply(X_309,multiply(Y_310,Z_311)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_23370,plain,
! [Z_311] : ( multiply(sk_c10,multiply(sk_c4,Z_311)) = multiply(identity,Z_311) ),
inference(superposition,[status(thm),theory(equality)],[c_121,c_23325]) ).
tff(c_23489,plain,
! [Z_316] : ( multiply(sk_c10,multiply(sk_c4,Z_316)) = Z_316 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23370]) ).
tff(c_23501,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_145,c_23489]) ).
tff(c_22340,plain,
! [X_293,Y_294,Z_295] : ( multiply(multiply(X_293,Y_294),Z_295) = multiply(X_293,multiply(Y_294,Z_295)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_22382,plain,
! [Z_295] : ( multiply(sk_c10,multiply(sk_c4,Z_295)) = multiply(identity,Z_295) ),
inference(superposition,[status(thm),theory(equality)],[c_121,c_22340]) ).
tff(c_22416,plain,
! [Z_297] : ( multiply(sk_c10,multiply(sk_c4,Z_297)) = Z_297 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22382]) ).
tff(c_22428,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_145,c_22416]) ).
tff(c_58,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( multiply(sk_c10,sk_c5) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_155,plain,
multiply(sk_c10,sk_c5) = sk_c9,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_22485,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_22428,c_155]) ).
tff(c_18,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_150,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_22497,plain,
multiply(sk_c1,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_22485,c_150]) ).
tff(c_16,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_105,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_109,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_105,c_4]) ).
tff(c_22385,plain,
! [Z_295] : ( multiply(sk_c10,multiply(sk_c1,Z_295)) = multiply(identity,Z_295) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_22340]) ).
tff(c_22525,plain,
! [Z_299] : ( multiply(sk_c10,multiply(sk_c1,Z_299)) = Z_299 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22385]) ).
tff(c_22537,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_22497,c_22525]) ).
tff(c_22388,plain,
! [X_2,Z_295] : ( multiply(inverse(X_2),multiply(X_2,Z_295)) = multiply(identity,Z_295) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22340]) ).
tff(c_22623,plain,
! [X_301,Z_302] : ( multiply(inverse(X_301),multiply(X_301,Z_302)) = Z_302 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22388]) ).
tff(c_22650,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_22537,c_22623]) ).
tff(c_22728,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22650]) ).
tff(c_11474,plain,
! [X_168,Y_169,Z_170] : ( multiply(multiply(X_168,Y_169),Z_170) = multiply(X_168,multiply(Y_169,Z_170)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11525,plain,
! [X_2,Z_170] : ( multiply(inverse(X_2),multiply(X_2,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11474]) ).
tff(c_15099,plain,
! [X_219,Z_220] : ( multiply(inverse(X_219),multiply(X_219,Z_220)) = Z_220 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11525]) ).
tff(c_11538,plain,
! [X_2,Z_170] : ( multiply(inverse(X_2),multiply(X_2,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11525]) ).
tff(c_15661,plain,
! [X_226,Z_227] : ( multiply(inverse(inverse(X_226)),Z_227) = multiply(X_226,Z_227) ),
inference(superposition,[status(thm),theory(equality)],[c_15099,c_11538]) ).
tff(c_15702,plain,
! [X_226] : ( multiply(X_226,inverse(X_226)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15661]) ).
tff(c_11519,plain,
! [Z_170] : ( multiply(sk_c10,multiply(sk_c4,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_121,c_11474]) ).
tff(c_11643,plain,
! [Z_174] : ( multiply(sk_c10,multiply(sk_c4,Z_174)) = Z_174 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11519]) ).
tff(c_11655,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_145,c_11643]) ).
tff(c_11659,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_11655,c_155]) ).
tff(c_28,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_11418,plain,
multiply(sk_c2,sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_38,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_129,plain,
inverse(sk_c2) = sk_c3,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_134,plain,
multiply(sk_c3,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_129,c_4]) ).
tff(c_11516,plain,
! [Z_170] : ( multiply(sk_c3,multiply(sk_c2,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_134,c_11474]) ).
tff(c_11540,plain,
! [Z_171] : ( multiply(sk_c3,multiply(sk_c2,Z_171)) = Z_171 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11516]) ).
tff(c_11552,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_11418,c_11540]) ).
tff(c_11667,plain,
multiply(sk_c3,sk_c10) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11659,c_11552]) ).
tff(c_15144,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_11667,c_15099]) ).
tff(c_15218,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15144]) ).
tff(c_15204,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15099]) ).
tff(c_15668,plain,
! [X_226] : ( multiply(X_226,identity) = X_226 ),
inference(superposition,[status(thm),theory(equality)],[c_15661,c_15204]) ).
tff(c_11852,plain,
! [X_178,Z_179] : ( multiply(inverse(X_178),multiply(X_178,Z_179)) = Z_179 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11525]) ).
tff(c_12414,plain,
! [X_185,Z_186] : ( multiply(inverse(inverse(X_185)),Z_186) = multiply(X_185,Z_186) ),
inference(superposition,[status(thm),theory(equality)],[c_11852,c_11538]) ).
tff(c_11957,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11852]) ).
tff(c_12421,plain,
! [X_185] : ( multiply(X_185,identity) = X_185 ),
inference(superposition,[status(thm),theory(equality)],[c_12414,c_11957]) ).
tff(c_11897,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_11667,c_11852]) ).
tff(c_11971,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11897]) ).
tff(c_11564,plain,
! [Z_172] : ( multiply(sk_c10,multiply(sk_c4,Z_172)) = Z_172 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11519]) ).
tff(c_11576,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_145,c_11564]) ).
tff(c_11580,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_11576,c_155]) ).
tff(c_11593,plain,
multiply(sk_c1,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_11580,c_150]) ).
tff(c_88,plain,
! [X5_6,X4_13,X3_8,X8_12,X1_10] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_11563,plain,
! [X4_13] :
( ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_11616,plain,
! [X4_173] :
( ( multiply(X4_173,sk_c10) != sk_c10 )
| ( inverse(X4_173) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11580,c_11563]) ).
tff(c_11619,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_11593,c_11616]) ).
tff(c_11641,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_105,c_11619]) ).
tff(c_11642,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_11723,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11659,c_11659,c_11659,c_11659,c_11659,c_11642]) ).
tff(c_11724,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_11723]) ).
tff(c_14968,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12421,c_11971,c_11971,c_2,c_11971,c_11971,c_11724]) ).
tff(c_12013,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11971,c_117]) ).
tff(c_12104,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12013,c_4]) ).
tff(c_12121,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_12104,c_11538]) ).
tff(c_12133,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12121]) ).
tff(c_12137,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12133,c_12013]) ).
tff(c_14970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14968,c_12137]) ).
tff(c_14971,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_11723]) ).
tff(c_22268,plain,
! [X1_10,X8_12,X5_6] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15702,c_15218,c_15668,c_15218,c_15218,c_15668,c_15218,c_15218,c_2,c_15218,c_15218,c_15218,c_15668,c_15218,c_15218,c_14971]) ).
tff(c_22269,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(splitLeft,[status(thm)],[c_22268]) ).
tff(c_15260,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15218,c_117]) ).
tff(c_15351,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15260,c_4]) ).
tff(c_15368,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_15351,c_11538]) ).
tff(c_15380,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15368]) ).
tff(c_15384,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15380,c_15260]) ).
tff(c_22271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22269,c_15384]) ).
tff(c_22272,plain,
! [X1_10,X8_12] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 ) ),
inference(splitRight,[status(thm)],[c_22268]) ).
tff(c_22274,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_22272]) ).
tff(c_22276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22274,c_15384]) ).
tff(c_22279,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_22272]) ).
tff(c_22281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22279,c_15384]) ).
tff(c_22283,plain,
multiply(sk_c2,sk_c3) != sk_c9,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_22495,plain,
multiply(sk_c2,sk_c3) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_22485,c_22283]) ).
tff(c_22799,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_22728,c_22495]) ).
tff(c_22401,plain,
! [X_2,Z_295] : ( multiply(inverse(X_2),multiply(X_2,Z_295)) = Z_295 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22388]) ).
tff(c_23098,plain,
! [X_306,Z_307] : ( multiply(inverse(inverse(X_306)),Z_307) = multiply(X_306,Z_307) ),
inference(superposition,[status(thm),theory(equality)],[c_22623,c_22401]) ).
tff(c_22719,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22623]) ).
tff(c_23153,plain,
! [X_308] : ( multiply(X_308,identity) = X_308 ),
inference(superposition,[status(thm),theory(equality)],[c_23098,c_22719]) ).
tff(c_22701,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_134,c_22623]) ).
tff(c_23166,plain,
inverse(sk_c3) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_23153,c_22701]) ).
tff(c_23243,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23166,c_4]) ).
tff(c_23249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22799,c_23243]) ).
tff(c_23251,plain,
multiply(sk_c10,sk_c5) != sk_c9,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_23505,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23501,c_23251]) ).
tff(c_64,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( multiply(sk_c10,sk_c5) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_23314,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_23251,c_64]) ).
tff(c_66,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c10,sk_c5) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_23282,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_23251,c_66]) ).
tff(c_23286,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23282,c_4]) ).
tff(c_23349,plain,
! [Z_311] : ( multiply(sk_c10,multiply(sk_c7,Z_311)) = multiply(identity,Z_311) ),
inference(superposition,[status(thm),theory(equality)],[c_23286,c_23325]) ).
tff(c_23606,plain,
! [Z_320] : ( multiply(sk_c10,multiply(sk_c7,Z_320)) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23349]) ).
tff(c_23618,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_23314,c_23606]) ).
tff(c_62,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c10,sk_c5) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_23299,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_23251,c_62]) ).
tff(c_23622,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23618,c_23299]) ).
tff(c_23624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23505,c_23622]) ).
tff(c_23625,plain,
inverse(sk_c6) = sk_c10,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_24438,plain,
! [X_335,Y_336,Z_337] : ( multiply(multiply(X_335,Y_336),Z_337) = multiply(X_335,multiply(Y_336,Z_337)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24480,plain,
! [Z_337] : ( multiply(sk_c10,multiply(sk_c4,Z_337)) = multiply(identity,Z_337) ),
inference(superposition,[status(thm),theory(equality)],[c_121,c_24438]) ).
tff(c_24514,plain,
! [Z_339] : ( multiply(sk_c10,multiply(sk_c4,Z_339)) = Z_339 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24480]) ).
tff(c_24526,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_145,c_24514]) ).
tff(c_23627,plain,
multiply(sk_c10,sk_c5) = sk_c9,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_24530,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24526,c_23627]) ).
tff(c_23626,plain,
multiply(sk_c1,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_20,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_23676,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_23626,c_20]) ).
tff(c_24540,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24530,c_23676]) ).
tff(c_24486,plain,
! [X_2,Z_337] : ( multiply(inverse(X_2),multiply(X_2,Z_337)) = multiply(identity,Z_337) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24438]) ).
tff(c_24639,plain,
! [X_342,Z_343] : ( multiply(inverse(X_342),multiply(X_342,Z_343)) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24486]) ).
tff(c_24669,plain,
multiply(inverse(sk_c6),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_24540,c_24639]) ).
tff(c_24736,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23625,c_24669]) ).
tff(c_24499,plain,
! [X_2,Z_337] : ( multiply(inverse(X_2),multiply(X_2,Z_337)) = Z_337 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24486]) ).
tff(c_24829,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_24736,c_24499]) ).
tff(c_24835,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24829]) ).
tff(c_24853,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24835,c_109]) ).
tff(c_25003,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_24853,c_24499]) ).
tff(c_25015,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25003]) ).
tff(c_24542,plain,
multiply(sk_c1,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24530,c_23626]) ).
tff(c_24842,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24835,c_24835,c_24542]) ).
tff(c_25060,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25015,c_24842]) ).
tff(c_25062,plain,
multiply(sk_c10,sk_c5) != sk_c9,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_25333,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25329,c_25062]) ).
tff(c_26,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_25063,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_25077,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25063,c_23626]) ).
tff(c_25079,plain,
multiply(sk_c1,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_24,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_25143,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_25079,c_24]) ).
tff(c_25078,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_25091,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25078,c_4]) ).
tff(c_25190,plain,
! [Z_348] : ( multiply(sk_c10,multiply(sk_c7,Z_348)) = multiply(identity,Z_348) ),
inference(superposition,[status(thm),theory(equality)],[c_25091,c_25157]) ).
tff(c_25417,plain,
! [Z_357] : ( multiply(sk_c10,multiply(sk_c7,Z_357)) = Z_357 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25190]) ).
tff(c_25429,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25143,c_25417]) ).
tff(c_22,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_25138,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25079,c_22]) ).
tff(c_25433,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25429,c_25138]) ).
tff(c_25435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25333,c_25433]) ).
tff(c_25437,plain,
multiply(sk_c4,sk_c10) != sk_c5,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_74,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( multiply(sk_c4,sk_c10) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_38038,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_25437,c_74]) ).
tff(c_26489,plain,
! [X_380,Y_381,Z_382] : ( multiply(multiply(X_380,Y_381),Z_382) = multiply(X_380,multiply(Y_381,Z_382)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26537,plain,
! [X_2,Z_382] : ( multiply(inverse(X_2),multiply(X_2,Z_382)) = multiply(identity,Z_382) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26489]) ).
tff(c_28269,plain,
! [X_419,Z_420] : ( multiply(inverse(X_419),multiply(X_419,Z_420)) = Z_420 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26537]) ).
tff(c_26550,plain,
! [X_2,Z_382] : ( multiply(inverse(X_2),multiply(X_2,Z_382)) = Z_382 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26537]) ).
tff(c_28811,plain,
! [X_426,Z_427] : ( multiply(inverse(inverse(X_426)),Z_427) = multiply(X_426,Z_427) ),
inference(superposition,[status(thm),theory(equality)],[c_28269,c_26550]) ).
tff(c_28849,plain,
! [X_426] : ( multiply(X_426,inverse(X_426)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28811]) ).
tff(c_25509,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_25437,c_74]) ).
tff(c_76,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_25459,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_25437,c_76]) ).
tff(c_25463,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25459,c_4]) ).
tff(c_25521,plain,
! [X_358,Y_359,Z_360] : ( multiply(multiply(X_358,Y_359),Z_360) = multiply(X_358,multiply(Y_359,Z_360)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_25554,plain,
! [Z_360] : ( multiply(sk_c10,multiply(sk_c7,Z_360)) = multiply(identity,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_25463,c_25521]) ).
tff(c_25812,plain,
! [Z_371] : ( multiply(sk_c10,multiply(sk_c7,Z_371)) = Z_371 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25554]) ).
tff(c_25824,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25509,c_25812]) ).
tff(c_72,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_25515,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25437,c_72]) ).
tff(c_26006,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25824,c_25515]) ).
tff(c_56,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_25451,plain,
multiply(sk_c3,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_26024,plain,
multiply(sk_c3,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_26006,c_25451]) ).
tff(c_30,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_25483,plain,
multiply(sk_c2,sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_26022,plain,
multiply(sk_c2,sk_c3) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_26006,c_25483]) ).
tff(c_25563,plain,
! [Z_360] : ( multiply(sk_c3,multiply(sk_c2,Z_360)) = multiply(identity,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_134,c_25521]) ).
tff(c_25582,plain,
! [Z_360] : ( multiply(sk_c3,multiply(sk_c2,Z_360)) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25563]) ).
tff(c_26110,plain,
multiply(sk_c3,sk_c10) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_26022,c_25582]) ).
tff(c_26116,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_26024,c_26110]) ).
tff(c_25436,plain,
inverse(sk_c6) = sk_c10,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_25441,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25436,c_4]) ).
tff(c_25560,plain,
! [Z_360] : ( multiply(sk_c10,multiply(sk_c6,Z_360)) = multiply(identity,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_25441,c_25521]) ).
tff(c_25581,plain,
! [Z_360] : ( multiply(sk_c10,multiply(sk_c6,Z_360)) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25560]) ).
tff(c_25557,plain,
! [Z_360] : ( multiply(sk_c3,multiply(sk_c10,Z_360)) = multiply(sk_c9,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_25451,c_25521]) ).
tff(c_26040,plain,
! [Z_374] : ( multiply(sk_c3,multiply(sk_c10,Z_374)) = multiply(sk_c10,Z_374) ),
inference(demodulation,[status(thm),theory(equality)],[c_26006,c_25557]) ).
tff(c_26058,plain,
! [Z_360] : ( multiply(sk_c10,multiply(sk_c6,Z_360)) = multiply(sk_c3,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_25581,c_26040]) ).
tff(c_26082,plain,
! [Z_360] : ( multiply(sk_c3,Z_360) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_25581,c_26058]) ).
tff(c_26163,plain,
! [Z_375] : ( multiply(sk_c10,Z_375) = Z_375 ),
inference(demodulation,[status(thm),theory(equality)],[c_26116,c_26082]) ).
tff(c_26199,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_26163,c_121]) ).
tff(c_26161,plain,
! [Z_360] : ( multiply(sk_c10,Z_360) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_26116,c_26082]) ).
tff(c_25503,plain,
multiply(sk_c10,sk_c5) = sk_c9,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_26020,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_26006,c_25503]) ).
tff(c_25572,plain,
! [X_2,Z_360] : ( multiply(inverse(X_2),multiply(X_2,Z_360)) = multiply(identity,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25521]) ).
tff(c_26269,plain,
! [X_376,Z_377] : ( multiply(inverse(X_376),multiply(X_376,Z_377)) = Z_377 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25572]) ).
tff(c_26293,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_26020,c_26269]) ).
tff(c_26330,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26293]) ).
tff(c_26334,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_26330,c_26020]) ).
tff(c_26336,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26161,c_26334]) ).
tff(c_26335,plain,
multiply(sk_c4,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_26330,c_25437]) ).
tff(c_26471,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26199,c_26336,c_26335]) ).
tff(c_26472,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_26519,plain,
! [Z_382] : ( multiply(sk_c10,multiply(sk_c7,Z_382)) = multiply(identity,Z_382) ),
inference(superposition,[status(thm),theory(equality)],[c_25463,c_26489]) ).
tff(c_26696,plain,
! [Z_390] : ( multiply(sk_c10,multiply(sk_c7,Z_390)) = Z_390 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26519]) ).
tff(c_26708,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_26472,c_26696]) ).
tff(c_26478,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25437,c_72]) ).
tff(c_26712,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_26708,c_26478]) ).
tff(c_26528,plain,
! [Z_382] : ( multiply(sk_c3,multiply(sk_c2,Z_382)) = multiply(identity,Z_382) ),
inference(superposition,[status(thm),theory(equality)],[c_134,c_26489]) ).
tff(c_26552,plain,
! [Z_383] : ( multiply(sk_c3,multiply(sk_c2,Z_383)) = Z_383 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26528]) ).
tff(c_26564,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_25483,c_26552]) ).
tff(c_26721,plain,
multiply(sk_c3,sk_c10) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_26712,c_26564]) ).
tff(c_28364,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_26721,c_26550]) ).
tff(c_28370,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28364]) ).
tff(c_28341,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28269]) ).
tff(c_28818,plain,
! [X_426] : ( multiply(X_426,identity) = X_426 ),
inference(superposition,[status(thm),theory(equality)],[c_28811,c_28341]) ).
tff(c_26850,plain,
! [X_392,Z_393] : ( multiply(inverse(X_392),multiply(X_392,Z_393)) = Z_393 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26537]) ).
tff(c_27257,plain,
! [X_397,Z_398] : ( multiply(inverse(inverse(X_397)),Z_398) = multiply(X_397,Z_398) ),
inference(superposition,[status(thm),theory(equality)],[c_26550,c_26850]) ).
tff(c_26928,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26850]) ).
tff(c_27264,plain,
! [X_397] : ( multiply(X_397,identity) = X_397 ),
inference(superposition,[status(thm),theory(equality)],[c_27257,c_26928]) ).
tff(c_26726,plain,
multiply(sk_c3,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_26712,c_25451]) ).
tff(c_26724,plain,
multiply(sk_c2,sk_c3) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_26712,c_25483]) ).
tff(c_26547,plain,
! [Z_382] : ( multiply(sk_c3,multiply(sk_c2,Z_382)) = Z_382 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26528]) ).
tff(c_26743,plain,
multiply(sk_c3,sk_c10) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_26724,c_26547]) ).
tff(c_26749,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_26726,c_26743]) ).
tff(c_26827,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_26749,c_26749,c_26721]) ).
tff(c_26871,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_26827,c_26850]) ).
tff(c_26936,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26871]) ).
tff(c_70,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_25493,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_25437,c_70]) ).
tff(c_26645,plain,
! [X4_388] :
( ( multiply(X4_388,sk_c9) != sk_c10 )
| ( inverse(X4_388) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_26655,plain,
inverse(sk_c6) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25493,c_26645]) ).
tff(c_26670,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25436,c_26655]) ).
tff(c_26671,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_26731,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26712,c_26712,c_26712,c_26712,c_26712,c_26671]) ).
tff(c_26732,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_26731]) ).
tff(c_28265,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27264,c_26936,c_26936,c_2,c_26936,c_26936,c_26732]) ).
tff(c_26755,plain,
inverse(sk_c2) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_26749,c_129]) ).
tff(c_26813,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26755,c_4]) ).
tff(c_26979,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26936,c_26813]) ).
tff(c_26955,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26936,c_26755]) ).
tff(c_27023,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26979,c_26955]) ).
tff(c_28267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28265,c_27023]) ).
tff(c_28268,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_26731]) ).
tff(c_36337,plain,
! [X1_10,X8_12,X5_6] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28849,c_28370,c_28818,c_28370,c_28370,c_28818,c_28370,c_28370,c_2,c_28370,c_28370,c_28370,c_28818,c_28370,c_28370,c_28268]) ).
tff(c_36338,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(splitLeft,[status(thm)],[c_36337]) ).
tff(c_28379,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28370,c_25459]) ).
tff(c_28467,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28379,c_4]) ).
tff(c_28548,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28467,c_26550]) ).
tff(c_28560,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28548]) ).
tff(c_28577,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28560,c_28379]) ).
tff(c_36340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36338,c_28577]) ).
tff(c_36341,plain,
! [X1_10,X8_12] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 ) ),
inference(splitRight,[status(thm)],[c_36337]) ).
tff(c_36343,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_36341]) ).
tff(c_36345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36343,c_28577]) ).
tff(c_36348,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_36341]) ).
tff(c_36350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36348,c_28577]) ).
tff(c_36352,plain,
multiply(sk_c2,sk_c3) != sk_c9,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_34,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_36373,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_36352,c_34]) ).
tff(c_36389,plain,
! [X_512,Y_513,Z_514] : ( multiply(multiply(X_512,Y_513),Z_514) = multiply(X_512,multiply(Y_513,Z_514)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36419,plain,
! [Z_514] : ( multiply(sk_c10,multiply(sk_c7,Z_514)) = multiply(identity,Z_514) ),
inference(superposition,[status(thm),theory(equality)],[c_25463,c_36389]) ).
tff(c_36656,plain,
! [Z_524] : ( multiply(sk_c10,multiply(sk_c7,Z_524)) = Z_524 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36419]) ).
tff(c_36671,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36373,c_36656]) ).
tff(c_36367,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25437,c_72]) ).
tff(c_36831,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36671,c_36367]) ).
tff(c_25482,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_36434,plain,
! [Z_514] : ( multiply(sk_c10,multiply(sk_c1,Z_514)) = multiply(identity,Z_514) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_36389]) ).
tff(c_36543,plain,
! [Z_520] : ( multiply(sk_c10,multiply(sk_c1,Z_520)) = Z_520 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36434]) ).
tff(c_36555,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_25482,c_36543]) ).
tff(c_36847,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36831,c_36555]) ).
tff(c_36437,plain,
! [X_2,Z_514] : ( multiply(inverse(X_2),multiply(X_2,Z_514)) = multiply(identity,Z_514) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36389]) ).
tff(c_37033,plain,
! [X_530,Z_531] : ( multiply(inverse(X_530),multiply(X_530,Z_531)) = Z_531 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36437]) ).
tff(c_37066,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36847,c_37033]) ).
tff(c_37128,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37066]) ).
tff(c_36579,plain,
! [Z_522] : ( multiply(sk_c3,multiply(sk_c10,Z_522)) = multiply(sk_c9,Z_522) ),
inference(superposition,[status(thm),theory(equality)],[c_25451,c_36389]) ).
tff(c_36615,plain,
multiply(sk_c9,sk_c1) = multiply(sk_c3,identity),
inference(superposition,[status(thm),theory(equality)],[c_109,c_36579]) ).
tff(c_36843,plain,
multiply(sk_c3,identity) = multiply(sk_c10,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_36831,c_36615]) ).
tff(c_36853,plain,
multiply(sk_c3,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_109,c_36843]) ).
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_36862,plain,
! [Z_5] : ( multiply(sk_c3,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_36853,c_6]) ).
tff(c_36988,plain,
! [Z_529] : ( multiply(sk_c3,Z_529) = Z_529 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_36862]) ).
tff(c_37000,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_36988,c_134]) ).
tff(c_36849,plain,
multiply(sk_c2,sk_c3) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36831,c_36352]) ).
tff(c_37013,plain,
multiply(identity,sk_c3) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37000,c_36849]) ).
tff(c_37017,plain,
sk_c3 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37013]) ).
tff(c_37151,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37128,c_37017]) ).
tff(c_37161,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37128,c_25459]) ).
tff(c_37117,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37033]) ).
tff(c_37239,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37161,c_37117]) ).
tff(c_37248,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37239]) ).
tff(c_37250,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37248,c_37161]) ).
tff(c_37016,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_37000,c_129]) ).
tff(c_37275,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37250,c_37016]) ).
tff(c_37277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37151,c_37275]) ).
tff(c_37278,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_37313,plain,
! [X_533,Y_534,Z_535] : ( multiply(multiply(X_533,Y_534),Z_535) = multiply(X_533,multiply(Y_534,Z_535)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37340,plain,
! [Z_535] : ( multiply(sk_c10,multiply(sk_c7,Z_535)) = multiply(identity,Z_535) ),
inference(superposition,[status(thm),theory(equality)],[c_25463,c_37313]) ).
tff(c_37509,plain,
! [Z_543] : ( multiply(sk_c10,multiply(sk_c7,Z_543)) = Z_543 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37340]) ).
tff(c_37521,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_37278,c_37509]) ).
tff(c_37284,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25437,c_72]) ).
tff(c_37525,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37521,c_37284]) ).
tff(c_37295,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_25437,c_70]) ).
tff(c_37346,plain,
! [Z_535] : ( multiply(sk_c10,multiply(sk_c6,Z_535)) = multiply(identity,Z_535) ),
inference(superposition,[status(thm),theory(equality)],[c_25441,c_37313]) ).
tff(c_37486,plain,
! [Z_542] : ( multiply(sk_c10,multiply(sk_c6,Z_542)) = Z_542 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37346]) ).
tff(c_37498,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_37295,c_37486]) ).
tff(c_37533,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37525,c_37498]) ).
tff(c_37358,plain,
! [X_2,Z_535] : ( multiply(inverse(X_2),multiply(X_2,Z_535)) = multiply(identity,Z_535) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37313]) ).
tff(c_37659,plain,
! [X_545,Z_546] : ( multiply(inverse(X_545),multiply(X_545,Z_546)) = Z_546 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37358]) ).
tff(c_37689,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_37533,c_37659]) ).
tff(c_37746,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37689]) ).
tff(c_37774,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37746,c_109]) ).
tff(c_37371,plain,
! [X_2,Z_535] : ( multiply(inverse(X_2),multiply(X_2,Z_535)) = Z_535 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37358]) ).
tff(c_37855,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_37774,c_37371]) ).
tff(c_37867,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37855]) ).
tff(c_37279,plain,
multiply(sk_c1,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_37537,plain,
multiply(sk_c1,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37525,c_37279]) ).
tff(c_37758,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37746,c_37746,c_37537]) ).
tff(c_37997,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37867,c_37758]) ).
tff(c_37998,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_38003,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37998,c_4]) ).
tff(c_38062,plain,
! [X_548,Y_549,Z_550] : ( multiply(multiply(X_548,Y_549),Z_550) = multiply(X_548,multiply(Y_549,Z_550)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_38089,plain,
! [Z_550] : ( multiply(sk_c10,multiply(sk_c7,Z_550)) = multiply(identity,Z_550) ),
inference(superposition,[status(thm),theory(equality)],[c_38003,c_38062]) ).
tff(c_38252,plain,
! [Z_558] : ( multiply(sk_c10,multiply(sk_c7,Z_558)) = Z_558 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38089]) ).
tff(c_38264,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_38038,c_38252]) ).
tff(c_38028,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25437,c_72]) ).
tff(c_38268,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_38264,c_38028]) ).
tff(c_37999,plain,
multiply(sk_c3,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_50,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_38045,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_37999,c_50]) ).
tff(c_38092,plain,
! [Z_550] : ( multiply(sk_c10,multiply(sk_c6,Z_550)) = multiply(identity,Z_550) ),
inference(superposition,[status(thm),theory(equality)],[c_25441,c_38062]) ).
tff(c_38229,plain,
! [Z_557] : ( multiply(sk_c10,multiply(sk_c6,Z_557)) = Z_557 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38092]) ).
tff(c_38241,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_38045,c_38229]) ).
tff(c_38397,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_38268,c_38241]) ).
tff(c_38104,plain,
! [X_2,Z_550] : ( multiply(inverse(X_2),multiply(X_2,Z_550)) = multiply(identity,Z_550) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38062]) ).
tff(c_41277,plain,
! [X_597,Z_598] : ( multiply(inverse(X_597),multiply(X_597,Z_598)) = Z_598 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38104]) ).
tff(c_41313,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_38397,c_41277]) ).
tff(c_41382,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41313]) ).
tff(c_38117,plain,
! [X_2,Z_550] : ( multiply(inverse(X_2),multiply(X_2,Z_550)) = Z_550 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38104]) ).
tff(c_41763,plain,
! [X_602,Z_603] : ( multiply(inverse(inverse(X_602)),Z_603) = multiply(X_602,Z_603) ),
inference(superposition,[status(thm),theory(equality)],[c_38117,c_41277]) ).
tff(c_41370,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41277]) ).
tff(c_41773,plain,
! [X_602] : ( multiply(X_602,identity) = X_602 ),
inference(superposition,[status(thm),theory(equality)],[c_41763,c_41370]) ).
tff(c_38496,plain,
! [X_562,Z_563] : ( multiply(inverse(X_562),multiply(X_562,Z_563)) = Z_563 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38104]) ).
tff(c_38982,plain,
! [X_567,Z_568] : ( multiply(inverse(inverse(X_567)),Z_568) = multiply(X_567,Z_568) ),
inference(superposition,[status(thm),theory(equality)],[c_38117,c_38496]) ).
tff(c_39029,plain,
! [X_567] : ( multiply(X_567,inverse(X_567)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38982]) ).
tff(c_38532,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_38397,c_38496]) ).
tff(c_38601,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38532]) ).
tff(c_38589,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38496]) ).
tff(c_38992,plain,
! [X_567] : ( multiply(X_567,identity) = X_567 ),
inference(superposition,[status(thm),theory(equality)],[c_38982,c_38589]) ).
tff(c_38277,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_38268,c_38241]) ).
tff(c_38279,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_38268,c_38045]) ).
tff(c_38192,plain,
! [X4_555] :
( ( multiply(X4_555,sk_c9) != sk_c10 )
| ( inverse(X4_555) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_38202,plain,
inverse(sk_c6) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_38045,c_38192]) ).
tff(c_38214,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25436,c_38202]) ).
tff(c_38215,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_38276,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_38215]) ).
tff(c_38352,plain,
! [X3_560] :
( ( inverse(X3_560) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_560,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38268,c_38276]) ).
tff(c_38358,plain,
( ( inverse(sk_c6) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_38279,c_38352]) ).
tff(c_38395,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38277,c_25436,c_38358]) ).
tff(c_38396,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_38215]) ).
tff(c_38471,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38268,c_38268,c_38268,c_38268,c_38396]) ).
tff(c_38472,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_38471]) ).
tff(c_41250,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_39029,c_38601,c_38992,c_38601,c_38601,c_38472]) ).
tff(c_38661,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38601,c_37998]) ).
tff(c_38709,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38661,c_4]) ).
tff(c_38736,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_38709,c_38117]) ).
tff(c_38748,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38736]) ).
tff(c_38752,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38748,c_38661]) ).
tff(c_41252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41250,c_38752]) ).
tff(c_41253,plain,
! [X8_12,X1_10] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_38471]) ).
tff(c_47688,plain,
! [X8_12,X1_10] :
( ( inverse(X8_12) != identity )
| ( identity != X8_12 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41382,c_41773,c_41382,c_41382,c_41773,c_41382,c_41382,c_2,c_41382,c_41382,c_41253]) ).
tff(c_47690,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_47688]) ).
tff(c_41442,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41382,c_37998]) ).
tff(c_41490,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41442,c_4]) ).
tff(c_41517,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41490,c_38117]) ).
tff(c_41529,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41517]) ).
tff(c_41533,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41529,c_41442]) ).
tff(c_47692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47690,c_41533]) ).
tff(c_47694,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_47688]) ).
tff(c_47696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47694,c_41533]) ).
tff(c_47698,plain,
inverse(sk_c2) != sk_c3,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_47715,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47706,c_47698]) ).
tff(c_47716,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_47721,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47716,c_4]) ).
tff(c_47805,plain,
! [Z_666] : ( multiply(sk_c10,multiply(sk_c7,Z_666)) = multiply(identity,Z_666) ),
inference(superposition,[status(thm),theory(equality)],[c_47721,c_47781]) ).
tff(c_47825,plain,
! [Z_666] : ( multiply(sk_c10,multiply(sk_c7,Z_666)) = Z_666 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47805]) ).
tff(c_44,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_47753,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_47698,c_44]) ).
tff(c_47938,plain,
! [Z_673] : ( multiply(sk_c10,multiply(sk_c7,Z_673)) = Z_673 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47805]) ).
tff(c_47950,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_47753,c_47938]) ).
tff(c_42,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_47745,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_47698,c_42]) ).
tff(c_47954,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_47950,c_47745]) ).
tff(c_40,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_47758,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_47698,c_40]) ).
tff(c_47796,plain,
! [Z_666] : ( multiply(sk_c6,multiply(sk_c9,Z_666)) = multiply(sk_c10,Z_666) ),
inference(superposition,[status(thm),theory(equality)],[c_47758,c_47781]) ).
tff(c_48129,plain,
! [Z_677] : ( multiply(sk_c6,multiply(sk_c10,Z_677)) = multiply(sk_c10,Z_677) ),
inference(demodulation,[status(thm),theory(equality)],[c_47954,c_47796]) ).
tff(c_48150,plain,
! [Z_666] : ( multiply(sk_c10,multiply(sk_c7,Z_666)) = multiply(sk_c6,Z_666) ),
inference(superposition,[status(thm),theory(equality)],[c_47825,c_48129]) ).
tff(c_48177,plain,
! [Z_666] : ( multiply(sk_c6,Z_666) = Z_666 ),
inference(demodulation,[status(thm),theory(equality)],[c_47825,c_48150]) ).
tff(c_47697,plain,
inverse(sk_c6) = sk_c10,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_47702,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47697,c_4]) ).
tff(c_47808,plain,
! [Z_666] : ( multiply(sk_c10,multiply(sk_c6,Z_666)) = multiply(identity,Z_666) ),
inference(superposition,[status(thm),theory(equality)],[c_47702,c_47781]) ).
tff(c_47826,plain,
! [Z_666] : ( multiply(sk_c10,multiply(sk_c6,Z_666)) = Z_666 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47808]) ).
tff(c_48187,plain,
! [Z_666] : ( multiply(sk_c10,Z_666) = Z_666 ),
inference(demodulation,[status(thm),theory(equality)],[c_48177,c_47826]) ).
tff(c_50423,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_50406,c_48187]) ).
tff(c_50370,plain,
! [X_721] : ( multiply(X_721,identity) = X_721 ),
inference(superposition,[status(thm),theory(equality)],[c_50363,c_50271]) ).
tff(c_48315,plain,
! [X_680,Z_681] : ( multiply(inverse(X_680),multiply(X_680,Z_681)) = Z_681 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47817]) ).
tff(c_48431,plain,
! [X_684,Z_685] : ( multiply(inverse(inverse(X_684)),Z_685) = multiply(X_684,Z_685) ),
inference(superposition,[status(thm),theory(equality)],[c_48315,c_47829]) ).
tff(c_48452,plain,
! [X_684] : ( multiply(X_684,inverse(X_684)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_48431,c_4]) ).
tff(c_48339,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_48315]) ).
tff(c_48474,plain,
! [X_686] : ( multiply(X_686,identity) = X_686 ),
inference(superposition,[status(thm),theory(equality)],[c_48431,c_48339]) ).
tff(c_48491,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_48474,c_48187]) ).
tff(c_48438,plain,
! [X_684] : ( multiply(X_684,identity) = X_684 ),
inference(superposition,[status(thm),theory(equality)],[c_48431,c_48339]) ).
tff(c_47915,plain,
! [Z_672] : ( multiply(sk_c10,multiply(sk_c6,Z_672)) = Z_672 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47808]) ).
tff(c_47927,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_47758,c_47915]) ).
tff(c_47963,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_47954,c_47927]) ).
tff(c_47988,plain,
! [Z_674] : ( multiply(sk_c6,multiply(sk_c10,Z_674)) = multiply(sk_c10,Z_674) ),
inference(demodulation,[status(thm),theory(equality)],[c_47954,c_47796]) ).
tff(c_48009,plain,
! [Z_666] : ( multiply(sk_c10,multiply(sk_c7,Z_666)) = multiply(sk_c6,Z_666) ),
inference(superposition,[status(thm),theory(equality)],[c_47825,c_47988]) ).
tff(c_48036,plain,
! [Z_666] : ( multiply(sk_c6,Z_666) = Z_666 ),
inference(demodulation,[status(thm),theory(equality)],[c_47825,c_48009]) ).
tff(c_47881,plain,
! [X4_670] :
( ( multiply(X4_670,sk_c9) != sk_c10 )
| ( inverse(X4_670) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_47888,plain,
inverse(sk_c6) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_47758,c_47881]) ).
tff(c_47900,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47697,c_47888]) ).
tff(c_47901,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_47962,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_47901]) ).
tff(c_48065,plain,
! [X3_676] :
( ( inverse(X3_676) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_676,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47954,c_47962]) ).
tff(c_48069,plain,
( ( inverse(sk_c6) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_48036,c_48065]) ).
tff(c_48102,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47963,c_47697,c_48069]) ).
tff(c_48103,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_47901]) ).
tff(c_48205,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47954,c_47954,c_47954,c_47954,c_48103]) ).
tff(c_48206,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_48205]) ).
tff(c_50135,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_48452,c_48491,c_48491,c_48438,c_48491,c_48206]) ).
tff(c_48528,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_48474]) ).
tff(c_50137,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50135,c_48528]) ).
tff(c_50138,plain,
! [X8_12,X1_10] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_48205]) ).
tff(c_58285,plain,
! [X8_12,X1_10] :
( ( inverse(X8_12) != identity )
| ( identity != X8_12 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50423,c_50423,c_50370,c_50423,c_50423,c_50370,c_50423,c_2,c_50423,c_50423,c_50138]) ).
tff(c_58287,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_58285]) ).
tff(c_50460,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_50406]) ).
tff(c_58289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58287,c_50460]) ).
tff(c_58291,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_58285]) ).
tff(c_58293,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58291,c_50460]) ).
tff(c_58295,plain,
inverse(sk_c4) != sk_c10,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_84,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_58343,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_58295,c_84]) ).
tff(c_58294,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_58299,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_58294,c_4]) ).
tff(c_58409,plain,
! [Z_812] : ( multiply(sk_c10,multiply(sk_c7,Z_812)) = multiply(identity,Z_812) ),
inference(superposition,[status(thm),theory(equality)],[c_58299,c_58379]) ).
tff(c_58539,plain,
! [Z_819] : ( multiply(sk_c10,multiply(sk_c7,Z_819)) = Z_819 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58409]) ).
tff(c_58551,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_58343,c_58539]) ).
tff(c_82,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_58359,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_58295,c_82]) ).
tff(c_58555,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_58551,c_58359]) ).
tff(c_80,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_58349,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_58295,c_80]) ).
tff(c_78,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_58308,plain,
inverse(sk_c6) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_58295,c_78]) ).
tff(c_58312,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_58308,c_4]) ).
tff(c_58406,plain,
! [Z_812] : ( multiply(sk_c10,multiply(sk_c6,Z_812)) = multiply(identity,Z_812) ),
inference(superposition,[status(thm),theory(equality)],[c_58312,c_58379]) ).
tff(c_58516,plain,
! [Z_818] : ( multiply(sk_c10,multiply(sk_c6,Z_818)) = Z_818 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58406]) ).
tff(c_58528,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_58349,c_58516]) ).
tff(c_58563,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_58555,c_58528]) ).
tff(c_61596,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_58563,c_61575]) ).
tff(c_61655,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_61596]) ).
tff(c_61647,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_61575]) ).
tff(c_61946,plain,
! [X_864] : ( multiply(X_864,identity) = X_864 ),
inference(superposition,[status(thm),theory(equality)],[c_61936,c_61647]) ).
tff(c_58603,plain,
! [X_821,Z_822] : ( multiply(inverse(X_821),multiply(X_821,Z_822)) = Z_822 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58415]) ).
tff(c_58964,plain,
! [X_826,Z_827] : ( multiply(inverse(inverse(X_826)),Z_827) = multiply(X_826,Z_827) ),
inference(superposition,[status(thm),theory(equality)],[c_58603,c_58427]) ).
tff(c_58675,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_58603]) ).
tff(c_58974,plain,
! [X_826] : ( multiply(X_826,identity) = X_826 ),
inference(superposition,[status(thm),theory(equality)],[c_58964,c_58675]) ).
tff(c_58624,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_58563,c_58603]) ).
tff(c_58683,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_58624]) ).
tff(c_58495,plain,
! [X4_817] :
( ( multiply(X4_817,sk_c9) != sk_c10 )
| ( inverse(X4_817) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_58502,plain,
inverse(sk_c6) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_58349,c_58495]) ).
tff(c_58514,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58308,c_58502]) ).
tff(c_58515,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_58569,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58555,c_58555,c_58555,c_58555,c_58555,c_58515]) ).
tff(c_58570,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_58569]) ).
tff(c_61539,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_58974,c_58683,c_58683,c_2,c_58683,c_58683,c_58570]) ).
tff(c_58706,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_58683,c_105]) ).
tff(c_58755,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_58706,c_4]) ).
tff(c_58772,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_58755,c_58427]) ).
tff(c_58784,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_58772]) ).
tff(c_58788,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_58784,c_58706]) ).
tff(c_61541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61539,c_58788]) ).
tff(c_61542,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_58569]) ).
tff(c_68866,plain,
! [X1_10,X8_12,X5_6] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61983,c_61655,c_61946,c_61655,c_61655,c_61946,c_61655,c_61655,c_2,c_61655,c_61655,c_61655,c_61946,c_61655,c_61655,c_61542]) ).
tff(c_68867,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(splitLeft,[status(thm)],[c_68866]) ).
tff(c_61678,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61655,c_105]) ).
tff(c_61727,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61678,c_4]) ).
tff(c_61744,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_61727,c_58427]) ).
tff(c_61756,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_61744]) ).
tff(c_61760,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61756,c_61678]) ).
tff(c_68869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68867,c_61760]) ).
tff(c_68870,plain,
! [X1_10,X8_12] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 ) ),
inference(splitRight,[status(thm)],[c_68866]) ).
tff(c_68872,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_68870]) ).
tff(c_68874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68872,c_61760]) ).
tff(c_69374,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_68870]) ).
tff(c_69376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69374,c_61760]) ).
tff(c_69378,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_14,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_69422,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_69378,c_14]) ).
tff(c_69377,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_69382,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69377,c_4]) ).
tff(c_69507,plain,
! [Z_938] : ( multiply(sk_c10,multiply(sk_c7,Z_938)) = multiply(identity,Z_938) ),
inference(superposition,[status(thm),theory(equality)],[c_69382,c_69474]) ).
tff(c_69654,plain,
! [Z_944] : ( multiply(sk_c10,multiply(sk_c7,Z_944)) = Z_944 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69507]) ).
tff(c_69666,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_69422,c_69654]) ).
tff(c_12,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_69454,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_69378,c_12]) ).
tff(c_69670,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_69666,c_69454]) ).
tff(c_10,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_69430,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_69378,c_10]) ).
tff(c_8,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_69391,plain,
inverse(sk_c6) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_69378,c_8]) ).
tff(c_69395,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69391,c_4]) ).
tff(c_69504,plain,
! [Z_938] : ( multiply(sk_c10,multiply(sk_c6,Z_938)) = multiply(identity,Z_938) ),
inference(superposition,[status(thm),theory(equality)],[c_69395,c_69474]) ).
tff(c_69628,plain,
! [Z_943] : ( multiply(sk_c10,multiply(sk_c6,Z_943)) = Z_943 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69504]) ).
tff(c_69643,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_69430,c_69628]) ).
tff(c_69678,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_69670,c_69643]) ).
tff(c_72583,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_69678,c_72541]) ).
tff(c_72636,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_72583]) ).
tff(c_72625,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_72541]) ).
tff(c_72901,plain,
! [X_987] : ( multiply(X_987,identity) = X_987 ),
inference(superposition,[status(thm),theory(equality)],[c_72891,c_72625]) ).
tff(c_69795,plain,
! [X_947,Z_948] : ( multiply(inverse(X_947),multiply(X_947,Z_948)) = Z_948 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69510]) ).
tff(c_70145,plain,
! [X_951,Z_952] : ( multiply(inverse(inverse(X_951)),Z_952) = multiply(X_951,Z_952) ),
inference(superposition,[status(thm),theory(equality)],[c_69522,c_69795]) ).
tff(c_69879,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_69795]) ).
tff(c_70155,plain,
! [X_951] : ( multiply(X_951,identity) = X_951 ),
inference(superposition,[status(thm),theory(equality)],[c_70145,c_69879]) ).
tff(c_69837,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_69678,c_69795]) ).
tff(c_69890,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_69837]) ).
tff(c_69548,plain,
! [Z_940] : ( multiply(sk_c10,multiply(sk_c7,Z_940)) = Z_940 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69507]) ).
tff(c_69560,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_69422,c_69548]) ).
tff(c_69564,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_69560,c_69454]) ).
tff(c_69573,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_69564,c_69430]) ).
tff(c_69524,plain,
! [X4_13] :
( ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_69578,plain,
! [X4_13] :
( ( multiply(X4_13,sk_c10) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69564,c_69524]) ).
tff(c_69601,plain,
inverse(sk_c6) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_69573,c_69578]) ).
tff(c_69613,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_69391,c_69601]) ).
tff(c_69614,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_69685,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69670,c_69670,c_69670,c_69670,c_69670,c_69614]) ).
tff(c_69686,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_69685]) ).
tff(c_72429,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_70155,c_69890,c_69890,c_2,c_69890,c_69890,c_69686]) ).
tff(c_69911,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69890,c_69377]) ).
tff(c_69988,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69911,c_4]) ).
tff(c_70019,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_69988,c_69522]) ).
tff(c_70031,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_70019]) ).
tff(c_70035,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70031,c_69911]) ).
tff(c_72431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72429,c_70035]) ).
tff(c_72432,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_69685]) ).
tff(c_79726,plain,
! [X1_10,X8_12,X5_6] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72915,c_72636,c_72901,c_72636,c_72636,c_72901,c_72636,c_72636,c_2,c_72636,c_72636,c_72636,c_72901,c_72636,c_72636,c_72432]) ).
tff(c_79727,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(splitLeft,[status(thm)],[c_79726]) ).
tff(c_72657,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_72636,c_69377]) ).
tff(c_72734,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_72657,c_4]) ).
tff(c_72765,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_72734,c_69522]) ).
tff(c_72777,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_72765]) ).
tff(c_72781,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_72777,c_72657]) ).
tff(c_79729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79727,c_72781]) ).
tff(c_79730,plain,
! [X1_10,X8_12] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 ) ),
inference(splitRight,[status(thm)],[c_79726]) ).
tff(c_79732,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_79730]) ).
tff(c_79734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79732,c_72781]) ).
tff(c_79922,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_79730]) ).
tff(c_79924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79922,c_72781]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP218-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:12:34 EDT 2023
% 0.14/0.35 % CPUTime :
% 15.15/6.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.23/6.22
% 15.23/6.22 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.72/6.30
% 15.72/6.30 Inference rules
% 15.72/6.30 ----------------------
% 15.72/6.30 #Ref : 0
% 15.72/6.30 #Sup : 19682
% 15.72/6.30 #Fact : 0
% 15.72/6.30 #Define : 0
% 15.72/6.30 #Split : 76
% 15.72/6.30 #Chain : 0
% 15.72/6.30 #Close : 0
% 15.72/6.30
% 15.72/6.30 Ordering : KBO
% 15.72/6.30
% 15.72/6.30 Simplification rules
% 15.72/6.30 ----------------------
% 15.72/6.30 #Subsume : 7
% 15.72/6.30 #Demod : 36776
% 15.72/6.30 #Tautology : 15686
% 15.72/6.30 #SimpNegUnit : 102
% 15.72/6.30 #BackRed : 924
% 15.72/6.30
% 15.72/6.30 #Partial instantiations: 0
% 15.72/6.30 #Strategies tried : 1
% 15.72/6.30
% 15.72/6.30 Timing (in seconds)
% 15.72/6.30 ----------------------
% 15.72/6.31 Preprocessing : 0.53
% 15.72/6.31 Parsing : 0.20
% 15.72/6.31 CNF conversion : 0.03
% 15.72/6.31 Main loop : 4.59
% 15.72/6.31 Inferencing : 1.34
% 15.72/6.31 Reduction : 2.32
% 15.72/6.31 Demodulation : 2.03
% 15.72/6.31 BG Simplification : 0.13
% 15.72/6.31 Subsumption : 0.52
% 15.72/6.31 Abstraction : 0.23
% 15.72/6.31 MUC search : 0.00
% 15.72/6.31 Cooper : 0.00
% 15.72/6.31 Total : 5.29
% 15.72/6.31 Index Insertion : 0.00
% 15.72/6.31 Index Deletion : 0.00
% 15.72/6.31 Index Matching : 0.00
% 15.72/6.31 BG Taut test : 0.00
%------------------------------------------------------------------------------