TSTP Solution File: GRP378-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP378-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.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 10:41:07 EDT 2023
% Result : Unsatisfiable 55.06s 40.42s
% Output : CNFRefutation 55.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 50
% Syntax : Number of formulae : 549 ( 431 unt; 14 typ; 0 def)
% Number of atoms : 748 ( 728 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 432 ( 219 ~; 213 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 292 (; 292 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c11 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c11,type,
sk_c11: $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_257,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( inverse(sk_c11) != sk_c10 )
| ( multiply(sk_c11,sk_c9) != sk_c10 )
| ( multiply(X3,X4) != sk_c11 )
| ( inverse(X3) != X4 )
| ( multiply(X4,sk_c10) != sk_c11 )
| ( multiply(X1,sk_c11) != sk_c10 )
| ( inverse(X1) != sk_c11 )
| ( multiply(X2,sk_c10) != sk_c9 )
| ( inverse(X2) != sk_c10 )
| ( multiply(X5,X6) != sk_c11 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c10) != sk_c11 )
| ( inverse(X7) != X8 )
| ( inverse(X8) != X6 )
| ( multiply(X7,X6) != X8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_282121,plain,
! [X_1103,Y_1104,Z_1105] : ( multiply(multiply(X_1103,Y_1104),Z_1105) = multiply(X_1103,multiply(Y_1104,Z_1105)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_282169,plain,
! [X_2,Z_1105] : ( multiply(inverse(X_2),multiply(X_2,Z_1105)) = multiply(identity,Z_1105) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_282121]) ).
tff(c_282183,plain,
! [X_2,Z_1105] : ( multiply(inverse(X_2),multiply(X_2,Z_1105)) = Z_1105 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282169]) ).
tff(c_287326,plain,
! [X_1198,Z_1199] : ( multiply(inverse(X_1198),multiply(X_1198,Z_1199)) = Z_1199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282169]) ).
tff(c_287788,plain,
! [X_1204,Z_1205] : ( multiply(inverse(inverse(X_1204)),Z_1205) = multiply(X_1204,Z_1205) ),
inference(superposition,[status(thm),theory(equality)],[c_282183,c_287326]) ).
tff(c_287410,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_287326]) ).
tff(c_287795,plain,
! [X_1204] : ( multiply(X_1204,identity) = X_1204 ),
inference(superposition,[status(thm),theory(equality)],[c_287788,c_287410]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_138,plain,
inverse(sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_142,plain,
multiply(sk_c10,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138,c_4]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_157,plain,
multiply(sk_c1,sk_c2) = sk_c11,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_125,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_129,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_125,c_4]) ).
tff(c_204198,plain,
! [X_729,Y_730,Z_731] : ( multiply(multiply(X_729,Y_730),Z_731) = multiply(X_729,multiply(Y_730,Z_731)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_204252,plain,
! [Z_731] : ( multiply(sk_c2,multiply(sk_c1,Z_731)) = multiply(identity,Z_731) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_204198]) ).
tff(c_204298,plain,
! [Z_733] : ( multiply(sk_c2,multiply(sk_c1,Z_733)) = Z_733 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204252]) ).
tff(c_204310,plain,
multiply(sk_c2,sk_c11) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_157,c_204298]) ).
tff(c_204255,plain,
! [X_2,Z_731] : ( multiply(inverse(X_2),multiply(X_2,Z_731)) = multiply(identity,Z_731) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_204198]) ).
tff(c_204337,plain,
! [X_735,Z_736] : ( multiply(inverse(X_735),multiply(X_735,Z_736)) = Z_736 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204255]) ).
tff(c_204358,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_204310,c_204337]) ).
tff(c_204443,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_204358]) ).
tff(c_204465,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_204443,c_138]) ).
tff(c_204478,plain,
multiply(sk_c10,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_204465,c_4]) ).
tff(c_209,plain,
! [X_16,Y_17,Z_18] : ( multiply(multiply(X_16,Y_17),Z_18) = multiply(X_16,multiply(Y_17,Z_18)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_239,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_209]) ).
tff(c_297,plain,
! [X_21,Z_22] : ( multiply(inverse(X_21),multiply(X_21,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).
tff(c_249,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).
tff(c_182557,plain,
! [X_566,Z_567] : ( multiply(inverse(inverse(X_566)),Z_567) = multiply(X_566,Z_567) ),
inference(superposition,[status(thm),theory(equality)],[c_297,c_249]) ).
tff(c_351,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_297]) ).
tff(c_182564,plain,
! [X_566] : ( multiply(X_566,identity) = X_566 ),
inference(superposition,[status(thm),theory(equality)],[c_182557,c_351]) ).
tff(c_236,plain,
! [Z_18] : ( multiply(sk_c2,multiply(sk_c1,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_209]) ).
tff(c_274,plain,
! [Z_20] : ( multiply(sk_c2,multiply(sk_c1,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_236]) ).
tff(c_286,plain,
multiply(sk_c2,sk_c11) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_157,c_274]) ).
tff(c_315,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_286,c_297]) ).
tff(c_358,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_315]) ).
tff(c_477,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_286]) ).
tff(c_230,plain,
! [Z_18] : ( multiply(sk_c1,multiply(sk_c2,Z_18)) = multiply(sk_c11,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_157,c_209]) ).
tff(c_182362,plain,
! [Z_563] : ( multiply(sk_c1,multiply(sk_c2,Z_563)) = Z_563 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_358,c_230]) ).
tff(c_182389,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_129,c_182362]) ).
tff(c_94,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_164,plain,
multiply(sk_c2,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_480,plain,
multiply(sk_c2,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_164]) ).
tff(c_182380,plain,
multiply(sk_c1,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_480,c_182362]) ).
tff(c_182413,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_182389,c_182380]) ).
tff(c_483,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_138]) ).
tff(c_182417,plain,
inverse(identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_182413,c_483]) ).
tff(c_182449,plain,
multiply(inverse(sk_c1),identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_182417,c_351]) ).
tff(c_182458,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_477,c_125,c_182449]) ).
tff(c_182466,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_182458,c_125]) ).
tff(c_182476,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_182466,c_351]) ).
tff(c_182485,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_182476]) ).
tff(c_182490,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_182485,c_182413]) ).
tff(c_613,plain,
! [Z_25] : ( multiply(sk_c1,multiply(sk_c2,Z_25)) = Z_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_358,c_230]) ).
tff(c_640,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_129,c_613]) ).
tff(c_631,plain,
multiply(sk_c1,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_480,c_613]) ).
tff(c_664,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_640,c_631]) ).
tff(c_339,plain,
multiply(inverse(sk_c10),identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_142,c_297]) ).
tff(c_600,plain,
multiply(inverse(sk_c10),identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_339]) ).
tff(c_665,plain,
multiply(inverse(sk_c1),identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_664,c_600]) ).
tff(c_670,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_477,c_125,c_665]) ).
tff(c_681,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_670,c_125]) ).
tff(c_711,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_681,c_351]) ).
tff(c_720,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_711]) ).
tff(c_669,plain,
inverse(identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_664,c_483]) ).
tff(c_740,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_720,c_669]) ).
tff(c_775,plain,
! [X_27,Z_28] : ( multiply(inverse(inverse(X_27)),Z_28) = multiply(X_27,Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_249,c_297]) ).
tff(c_782,plain,
! [X_27] : ( multiply(X_27,identity) = X_27 ),
inference(superposition,[status(thm),theory(equality)],[c_775,c_351]) ).
tff(c_813,plain,
! [X_27] : ( multiply(X_27,inverse(X_27)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_775]) ).
tff(c_724,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_720,c_664]) ).
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_1038,plain,
! [X_34,Y_35,Z_36] : ( multiply(inverse(multiply(X_34,Y_35)),multiply(X_34,multiply(Y_35,Z_36))) = Z_36 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_297]) ).
tff(c_1117,plain,
! [X_34,X_2] : ( multiply(inverse(multiply(X_34,inverse(X_2))),multiply(X_34,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1038]) ).
tff(c_1156,plain,
! [X_37,X_38] : ( multiply(inverse(multiply(X_37,inverse(X_38))),X_37) = X_38 ),
inference(demodulation,[status(thm),theory(equality)],[c_782,c_1117]) ).
tff(c_789,plain,
! [X_27,Z_18] : ( multiply(X_27,multiply(inverse(X_27),Z_18)) = Z_18 ),
inference(superposition,[status(thm),theory(equality)],[c_775,c_249]) ).
tff(c_1176,plain,
! [X_37,X_38] : ( multiply(multiply(X_37,inverse(X_38)),X_38) = X_37 ),
inference(superposition,[status(thm),theory(equality)],[c_1156,c_789]) ).
tff(c_818,plain,
! [X_29] : ( multiply(X_29,identity) = X_29 ),
inference(superposition,[status(thm),theory(equality)],[c_775,c_351]) ).
tff(c_309,plain,
! [X_2,Z_18] : ( multiply(inverse(inverse(X_2)),Z_18) = multiply(X_2,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_249,c_297]) ).
tff(c_825,plain,
! [X_2] : ( inverse(inverse(X_2)) = multiply(X_2,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_818,c_309]) ).
tff(c_870,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_782,c_825]) ).
tff(c_1086,plain,
! [X_34,X_27] : ( multiply(inverse(multiply(X_34,X_27)),multiply(X_34,identity)) = inverse(X_27) ),
inference(superposition,[status(thm),theory(equality)],[c_813,c_1038]) ).
tff(c_1411,plain,
! [X_43,X_44] : ( multiply(inverse(multiply(X_43,X_44)),X_43) = inverse(X_44) ),
inference(demodulation,[status(thm),theory(equality)],[c_782,c_1086]) ).
tff(c_1142,plain,
! [X_34,X_27] : ( multiply(inverse(multiply(X_34,X_27)),X_34) = inverse(X_27) ),
inference(demodulation,[status(thm),theory(equality)],[c_782,c_1086]) ).
tff(c_1414,plain,
! [X_44,X_43] : ( multiply(inverse(inverse(X_44)),inverse(multiply(X_43,X_44))) = inverse(X_43) ),
inference(superposition,[status(thm),theory(equality)],[c_1411,c_1142]) ).
tff(c_1522,plain,
! [X_45,X_46] : ( multiply(X_45,inverse(multiply(X_46,X_45))) = inverse(X_46) ),
inference(demodulation,[status(thm),theory(equality)],[c_870,c_1414]) ).
tff(c_1579,plain,
! [X_37,X_38] : ( inverse(multiply(X_37,inverse(X_38))) = multiply(X_38,inverse(X_37)) ),
inference(superposition,[status(thm),theory(equality)],[c_1176,c_1522]) ).
tff(c_42,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_170,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_479,plain,
multiply(identity,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_170]) ).
tff(c_559,plain,
sk_c9 = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_479,c_2]) ).
tff(c_370,plain,
multiply(sk_c1,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_157]) ).
tff(c_369,plain,
multiply(sk_c2,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_164]) ).
tff(c_108,plain,
! [X5_6,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c11 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c11 )
| ( multiply(sk_c11,sk_c9) != sk_c10 )
| ( inverse(sk_c11) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_364,plain,
! [X5_6,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c11 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_170,c_108]) ).
tff(c_365,plain,
! [X3_8] :
( ( multiply(inverse(X3_8),sk_c10) != sk_c11 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_364]) ).
tff(c_464,plain,
! [X3_23] :
( ( multiply(inverse(X3_23),sk_c10) != identity )
| ( multiply(X3_23,inverse(X3_23)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358,c_358,c_365]) ).
tff(c_468,plain,
( ( multiply(sk_c2,sk_c10) != identity )
| ( multiply(sk_c1,inverse(sk_c1)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_464]) ).
tff(c_475,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_370,c_125,c_369,c_468]) ).
tff(c_476,plain,
! [X1_10,X2_11,X7_9,X5_6] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_364]) ).
tff(c_574,plain,
! [X1_10,X2_11,X7_9,X5_6] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c10 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358,c_358,c_559,c_358,c_358,c_476]) ).
tff(c_575,plain,
! [X7_9,X5_6] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(splitLeft,[status(thm)],[c_574]) ).
tff(c_182145,plain,
! [X5_559,X7_560] :
( ( multiply(X5_559,inverse(X7_560)) != inverse(X5_559) )
| ( multiply(X7_560,inverse(X5_559)) != inverse(X7_560) )
| ( inverse(X5_559) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_813,c_782,c_724,c_1579,c_575]) ).
tff(c_182257,plain,
! [X7_560] :
( ( inverse(identity) != inverse(X7_560) )
| ( multiply(X7_560,inverse(identity)) != inverse(X7_560) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_182145]) ).
tff(c_182305,plain,
! [X7_561] :
( ( inverse(X7_561) != identity )
| ( inverse(X7_561) != X7_561 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_740,c_782,c_740,c_740,c_182257]) ).
tff(c_182323,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_740,c_182305]) ).
tff(c_182335,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_740,c_182323]) ).
tff(c_182336,plain,
! [X2_11,X1_10] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c10 )
| ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_574]) ).
tff(c_204077,plain,
! [X2_11,X1_10] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182564,c_182490,c_182564,c_182490,c_182490,c_182490,c_182336]) ).
tff(c_204079,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_204077]) ).
tff(c_182488,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_182485,c_182417]) ).
tff(c_204081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204079,c_182488]) ).
tff(c_204084,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_204077]) ).
tff(c_204086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204084,c_182488]) ).
tff(c_204088,plain,
multiply(sk_c11,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_204146,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_204088,c_30]) ).
tff(c_204150,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_204146,c_4]) ).
tff(c_204249,plain,
! [Z_731] : ( multiply(sk_c10,multiply(sk_c11,Z_731)) = multiply(identity,Z_731) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_204198]) ).
tff(c_204274,plain,
! [Z_732] : ( multiply(sk_c10,multiply(sk_c11,Z_732)) = Z_732 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204249]) ).
tff(c_204286,plain,
multiply(sk_c10,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_204150,c_204274]) ).
tff(c_204483,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_204478,c_204286]) ).
tff(c_204460,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_204443,c_204146]) ).
tff(c_204499,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_204465,c_204483,c_204460]) ).
tff(c_204461,plain,
multiply(identity,sk_c9) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_204443,c_204088]) ).
tff(c_204467,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204461]) ).
tff(c_204502,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_204499,c_204467]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_204132,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_204088,c_34]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_204186,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_204088,c_32]) ).
tff(c_204376,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_204186,c_204337]) ).
tff(c_204445,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_204132,c_204376]) ).
tff(c_204705,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_204499,c_2,c_204499,c_204445]) ).
tff(c_204706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204502,c_204705]) ).
tff(c_204708,plain,
multiply(sk_c2,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_88,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_278724,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_204708,c_88]) ).
tff(c_90,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_278675,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_204708,c_90]) ).
tff(c_278679,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_278675,c_4]) ).
tff(c_278758,plain,
! [X_1043,Y_1044,Z_1045] : ( multiply(multiply(X_1043,Y_1044),Z_1045) = multiply(X_1043,multiply(Y_1044,Z_1045)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_278791,plain,
! [Z_1045] : ( multiply(sk_c11,multiply(sk_c3,Z_1045)) = multiply(identity,Z_1045) ),
inference(superposition,[status(thm),theory(equality)],[c_278679,c_278758]) ).
tff(c_278878,plain,
! [Z_1048] : ( multiply(sk_c11,multiply(sk_c3,Z_1048)) = Z_1048 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_278791]) ).
tff(c_278893,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_278724,c_278878]) ).
tff(c_278806,plain,
! [Z_1045] : ( multiply(sk_c10,multiply(sk_c11,Z_1045)) = multiply(identity,Z_1045) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_278758]) ).
tff(c_278825,plain,
! [Z_1045] : ( multiply(sk_c10,multiply(sk_c11,Z_1045)) = Z_1045 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_278806]) ).
tff(c_278900,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_278893,c_278825]) ).
tff(c_278906,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_278900]) ).
tff(c_204707,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_278917,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_278906,c_204707]) ).
tff(c_279028,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_278917,c_4]) ).
tff(c_278812,plain,
! [X_2,Z_1045] : ( multiply(inverse(X_2),multiply(X_2,Z_1045)) = multiply(identity,Z_1045) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_278758]) ).
tff(c_278827,plain,
! [X_2,Z_1045] : ( multiply(inverse(X_2),multiply(X_2,Z_1045)) = Z_1045 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_278812]) ).
tff(c_279035,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_279028,c_278827]) ).
tff(c_279047,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_279035]) ).
tff(c_92,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_278730,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_204708,c_92]) ).
tff(c_278912,plain,
multiply(sk_c4,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_278906,c_278730]) ).
tff(c_279270,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_279047,c_278912]) ).
tff(c_278809,plain,
! [Z_1045] : ( multiply(sk_c2,multiply(sk_c1,Z_1045)) = multiply(identity,Z_1045) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_278758]) ).
tff(c_278855,plain,
! [Z_1047] : ( multiply(sk_c2,multiply(sk_c1,Z_1047)) = Z_1047 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_278809]) ).
tff(c_278867,plain,
multiply(sk_c2,sk_c11) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_157,c_278855]) ).
tff(c_278925,plain,
! [X_1049,Z_1050] : ( multiply(inverse(X_1049),multiply(X_1049,Z_1050)) = Z_1050 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_278812]) ).
tff(c_278946,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_278867,c_278925]) ).
tff(c_279001,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_278946]) ).
tff(c_204819,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_204708,c_88]) ).
tff(c_204729,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_204708,c_90]) ).
tff(c_204733,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_204729,c_4]) ).
tff(c_204824,plain,
! [X_739,Y_740,Z_741] : ( multiply(multiply(X_739,Y_740),Z_741) = multiply(X_739,multiply(Y_740,Z_741)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_204863,plain,
! [Z_741] : ( multiply(sk_c11,multiply(sk_c3,Z_741)) = multiply(identity,Z_741) ),
inference(superposition,[status(thm),theory(equality)],[c_204733,c_204824]) ).
tff(c_278378,plain,
! [Z_1038] : ( multiply(sk_c11,multiply(sk_c3,Z_1038)) = Z_1038 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204863]) ).
tff(c_278393,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_204819,c_278378]) ).
tff(c_204875,plain,
! [Z_741] : ( multiply(sk_c10,multiply(sk_c11,Z_741)) = multiply(identity,Z_741) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_204824]) ).
tff(c_204894,plain,
! [Z_741] : ( multiply(sk_c10,multiply(sk_c11,Z_741)) = Z_741 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204875]) ).
tff(c_278530,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_278393,c_204894]) ).
tff(c_278536,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_278530]) ).
tff(c_278553,plain,
inverse(sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_278536,c_138]) ).
tff(c_204898,plain,
! [Z_742] : ( multiply(sk_c10,multiply(sk_c11,Z_742)) = Z_742 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204875]) ).
tff(c_204910,plain,
multiply(sk_c10,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_204733,c_204898]) ).
tff(c_278542,plain,
multiply(identity,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_278536,c_204910]) ).
tff(c_278555,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_278542]) ).
tff(c_278563,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_278555,c_204729]) ).
tff(c_204721,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_204913,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_204721,c_204898]) ).
tff(c_278543,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_278536,c_278536,c_204913]) ).
tff(c_278556,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_278543]) ).
tff(c_278401,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_278393,c_204894]) ).
tff(c_278407,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_278401]) ).
tff(c_278413,plain,
multiply(identity,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_278407,c_204910]) ).
tff(c_278426,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_278413]) ).
tff(c_278434,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_278426,c_204729]) ).
tff(c_278424,plain,
inverse(sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_278407,c_138]) ).
tff(c_204878,plain,
! [Z_741] : ( multiply(sk_c2,multiply(sk_c1,Z_741)) = multiply(identity,Z_741) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_204824]) ).
tff(c_205020,plain,
! [Z_747] : ( multiply(sk_c2,multiply(sk_c1,Z_747)) = Z_747 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204878]) ).
tff(c_205032,plain,
multiply(sk_c2,sk_c11) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_157,c_205020]) ).
tff(c_205166,plain,
! [Z_753] : ( multiply(sk_c1,multiply(sk_c2,Z_753)) = multiply(sk_c11,Z_753) ),
inference(superposition,[status(thm),theory(equality)],[c_157,c_204824]) ).
tff(c_205181,plain,
multiply(sk_c11,sk_c11) = multiply(sk_c1,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_205032,c_205166]) ).
tff(c_205191,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_157,c_205181]) ).
tff(c_205195,plain,
multiply(sk_c10,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_205191,c_204894]) ).
tff(c_205201,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_205195]) ).
tff(c_205213,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_205201,c_204729]) ).
tff(c_205244,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_205213,c_4]) ).
tff(c_205320,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_205244,c_2]) ).
tff(c_205329,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_205320,c_205213]) ).
tff(c_205218,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_205201,c_138]) ).
tff(c_205337,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_205329,c_205218]) ).
tff(c_204881,plain,
! [X_2,Z_741] : ( multiply(inverse(X_2),multiply(X_2,Z_741)) = multiply(identity,Z_741) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_204824]) ).
tff(c_204896,plain,
! [X_2,Z_741] : ( multiply(inverse(X_2),multiply(X_2,Z_741)) = Z_741 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204881]) ).
tff(c_205366,plain,
! [X_756,Z_757] : ( multiply(inverse(X_756),multiply(X_756,Z_757)) = Z_757 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204881]) ).
tff(c_205781,plain,
! [X_762,Z_763] : ( multiply(inverse(inverse(X_762)),Z_763) = multiply(X_762,Z_763) ),
inference(superposition,[status(thm),theory(equality)],[c_204896,c_205366]) ).
tff(c_205417,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_205366]) ).
tff(c_205791,plain,
! [X_762] : ( multiply(X_762,identity) = X_762 ),
inference(superposition,[status(thm),theory(equality)],[c_205781,c_205417]) ).
tff(c_96,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_204807,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_204708,c_96]) ).
tff(c_98,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_204776,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_204708,c_98]) ).
tff(c_100,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( multiply(sk_c2,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_204802,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_204708,c_100]) ).
tff(c_204933,plain,
! [X5_6,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c11 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_204721,c_108]) ).
tff(c_204998,plain,
! [X3_746] :
( ( multiply(inverse(X3_746),sk_c10) != sk_c11 )
| ( multiply(X3_746,inverse(X3_746)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_204933]) ).
tff(c_205000,plain,
( ( multiply(sk_c8,sk_c10) != sk_c11 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_204776,c_204998]) ).
tff(c_205018,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_204807,c_204776,c_204802,c_205000]) ).
tff(c_205019,plain,
! [X1_10,X2_11,X7_9,X5_6] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_204933]) ).
tff(c_205135,plain,
! [X7_9,X5_6] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_205019]) ).
tff(c_205255,plain,
! [X7_9,X5_6] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205201,c_205201,c_205135]) ).
tff(c_205340,plain,
! [X7_9] :
( ( inverse(multiply(X7_9,identity)) != inverse(identity) )
| ( multiply(X7_9,inverse(identity)) != inverse(X7_9) )
| ( multiply(inverse(identity),sk_c10) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_205329,c_205255]) ).
tff(c_205347,plain,
! [X7_9] :
( ( inverse(multiply(X7_9,identity)) != identity )
| ( multiply(X7_9,identity) != inverse(X7_9) )
| ( sk_c10 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205329,c_2,c_2,c_205329,c_205329,c_205329,c_205340]) ).
tff(c_278311,plain,
! [X7_1036] :
( ( inverse(X7_1036) != identity )
| ( inverse(X7_1036) != X7_1036 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205337,c_205791,c_205791,c_205347]) ).
tff(c_278331,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_205329,c_278311]) ).
tff(c_278346,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_205329,c_278331]) ).
tff(c_278347,plain,
! [X2_11,X1_10] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_205019]) ).
tff(c_278397,plain,
! [X1_10] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_278347]) ).
tff(c_278499,plain,
! [X1_1040] :
( ( inverse(X1_1040) != sk_c11 )
| ( multiply(X1_1040,sk_c11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_278407,c_278397]) ).
tff(c_278516,plain,
inverse(inverse(sk_c11)) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_4,c_278499]) ).
tff(c_278525,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_278434,c_278424,c_278516]) ).
tff(c_278526,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_278347]) ).
tff(c_278628,plain,
! [X2_1042] :
( ( inverse(X2_1042) != identity )
| ( multiply(X2_1042,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_278556,c_278536,c_278536,c_278526]) ).
tff(c_278639,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_278628]) ).
tff(c_278647,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_278553,c_278563,c_278639]) ).
tff(c_278649,plain,
multiply(sk_c11,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_278914,plain,
multiply(sk_c11,sk_c9) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_278906,c_278649]) ).
tff(c_279343,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_279270,c_2,c_279001,c_278914]) ).
tff(c_279345,plain,
multiply(sk_c1,sk_c2) != sk_c11,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_48,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_279462,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_279345,c_48]) ).
tff(c_279344,plain,
inverse(sk_c3) = sk_c11,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_279349,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_279344,c_4]) ).
tff(c_279468,plain,
! [X_1054,Y_1055,Z_1056] : ( multiply(multiply(X_1054,Y_1055),Z_1056) = multiply(X_1054,multiply(Y_1055,Z_1056)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_279516,plain,
! [Z_1056] : ( multiply(sk_c11,multiply(sk_c3,Z_1056)) = multiply(identity,Z_1056) ),
inference(superposition,[status(thm),theory(equality)],[c_279349,c_279468]) ).
tff(c_280132,plain,
! [Z_1069] : ( multiply(sk_c11,multiply(sk_c3,Z_1069)) = Z_1069 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_279516]) ).
tff(c_280147,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_279462,c_280132]) ).
tff(c_279519,plain,
! [Z_1056] : ( multiply(sk_c10,multiply(sk_c11,Z_1056)) = multiply(identity,Z_1056) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_279468]) ).
tff(c_279538,plain,
! [Z_1056] : ( multiply(sk_c10,multiply(sk_c11,Z_1056)) = Z_1056 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_279519]) ).
tff(c_280154,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_280147,c_279538]) ).
tff(c_280160,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_280154]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_279392,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_279345,c_54]) ).
tff(c_280173,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_280160,c_279392]) ).
tff(c_280229,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_280173,c_4]) ).
tff(c_280251,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_280229,c_2]) ).
tff(c_280260,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_280251,c_280173]) ).
tff(c_279542,plain,
! [Z_1057] : ( multiply(sk_c10,multiply(sk_c11,Z_1057)) = Z_1057 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_279519]) ).
tff(c_279557,plain,
multiply(sk_c10,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_279349,c_279542]) ).
tff(c_280166,plain,
multiply(identity,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_280160,c_279557]) ).
tff(c_280179,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_280166]) ).
tff(c_280187,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_280179,c_279344]) ).
tff(c_280277,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_280260,c_280187]) ).
tff(c_279358,plain,
multiply(sk_c2,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_279513,plain,
! [Z_1056] : ( multiply(sk_c2,multiply(sk_c10,Z_1056)) = multiply(sk_c11,Z_1056) ),
inference(superposition,[status(thm),theory(equality)],[c_279358,c_279468]) ).
tff(c_280403,plain,
! [Z_1074] : ( multiply(sk_c2,Z_1074) = Z_1074 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_280277,c_2,c_280160,c_279513]) ).
tff(c_280418,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_280403,c_129]) ).
tff(c_280433,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_280418,c_125]) ).
tff(c_280436,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_280260,c_280433]) ).
tff(c_280292,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_280277,c_279345]) ).
tff(c_280562,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_280436,c_2,c_280418,c_280292]) ).
tff(c_280564,plain,
multiply(sk_c2,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_280653,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_280564,c_88]) ).
tff(c_280680,plain,
! [X_1076,Y_1077,Z_1078] : ( multiply(multiply(X_1076,Y_1077),Z_1078) = multiply(X_1076,multiply(Y_1077,Z_1078)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_280725,plain,
! [Z_1078] : ( multiply(sk_c11,multiply(sk_c3,Z_1078)) = multiply(identity,Z_1078) ),
inference(superposition,[status(thm),theory(equality)],[c_279349,c_280680]) ).
tff(c_280897,plain,
! [Z_1085] : ( multiply(sk_c11,multiply(sk_c3,Z_1085)) = Z_1085 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_280725]) ).
tff(c_280912,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_280653,c_280897]) ).
tff(c_280728,plain,
! [Z_1078] : ( multiply(sk_c10,multiply(sk_c11,Z_1078)) = multiply(identity,Z_1078) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_280680]) ).
tff(c_280747,plain,
! [Z_1078] : ( multiply(sk_c10,multiply(sk_c11,Z_1078)) = Z_1078 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_280728]) ).
tff(c_280919,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_280912,c_280747]) ).
tff(c_280925,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_280919]) ).
tff(c_280563,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_280938,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_280925,c_280563]) ).
tff(c_280979,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_280938,c_4]) ).
tff(c_280989,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_280979,c_2]) ).
tff(c_280998,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_280989,c_280938]) ).
tff(c_280751,plain,
! [Z_1079] : ( multiply(sk_c10,multiply(sk_c11,Z_1079)) = Z_1079 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_280728]) ).
tff(c_280766,plain,
multiply(sk_c10,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_279349,c_280751]) ).
tff(c_280929,plain,
multiply(identity,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_280925,c_280766]) ).
tff(c_280942,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_280929]) ).
tff(c_280950,plain,
inverse(identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_280942,c_279344]) ).
tff(c_281005,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_280998,c_280950]) ).
tff(c_281016,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_281005,c_279345]) ).
tff(c_280734,plain,
! [X_2,Z_1078] : ( multiply(inverse(X_2),multiply(X_2,Z_1078)) = multiply(identity,Z_1078) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_280680]) ).
tff(c_281023,plain,
! [X_1086,Z_1087] : ( multiply(inverse(X_1086),multiply(X_1086,Z_1087)) = Z_1087 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_280734]) ).
tff(c_280749,plain,
! [X_2,Z_1078] : ( multiply(inverse(X_2),multiply(X_2,Z_1078)) = Z_1078 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_280734]) ).
tff(c_281306,plain,
! [X_1090,Z_1091] : ( multiply(inverse(inverse(X_1090)),Z_1091) = multiply(X_1090,Z_1091) ),
inference(superposition,[status(thm),theory(equality)],[c_281023,c_280749]) ).
tff(c_281077,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_281023]) ).
tff(c_281361,plain,
! [X_1092] : ( multiply(X_1092,identity) = X_1092 ),
inference(superposition,[status(thm),theory(equality)],[c_281306,c_281077]) ).
tff(c_281071,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_129,c_281023]) ).
tff(c_281371,plain,
inverse(sk_c2) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_281361,c_281071]) ).
tff(c_281451,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_281371,c_4]) ).
tff(c_281457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_281016,c_281451]) ).
tff(c_281459,plain,
inverse(sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_24,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_281510,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_281459,c_24]) ).
tff(c_281514,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_281510,c_4]) ).
tff(c_26,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_281539,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_281459,c_26]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_281553,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_281459,c_16]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_281497,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_281459,c_18]) ).
tff(c_281501,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_281497,c_4]) ).
tff(c_281582,plain,
! [X_1093,Y_1094,Z_1095] : ( multiply(multiply(X_1093,Y_1094),Z_1095) = multiply(X_1093,multiply(Y_1094,Z_1095)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_281615,plain,
! [Z_1095] : ( multiply(sk_c8,multiply(sk_c5,Z_1095)) = multiply(identity,Z_1095) ),
inference(superposition,[status(thm),theory(equality)],[c_281501,c_281582]) ).
tff(c_281683,plain,
! [Z_1098] : ( multiply(sk_c8,multiply(sk_c5,Z_1098)) = Z_1098 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_281615]) ).
tff(c_281695,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_281553,c_281683]) ).
tff(c_281603,plain,
! [Z_1095] : ( multiply(sk_c7,multiply(sk_c8,Z_1095)) = multiply(sk_c6,Z_1095) ),
inference(superposition,[status(thm),theory(equality)],[c_281539,c_281582]) ).
tff(c_281733,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_281695,c_281603]) ).
tff(c_281739,plain,
multiply(sk_c6,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_281539,c_281733]) ).
tff(c_281612,plain,
! [Z_1095] : ( multiply(sk_c8,multiply(sk_c6,Z_1095)) = multiply(identity,Z_1095) ),
inference(superposition,[status(thm),theory(equality)],[c_281514,c_281582]) ).
tff(c_281638,plain,
! [Z_1095] : ( multiply(sk_c8,multiply(sk_c6,Z_1095)) = Z_1095 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_281612]) ).
tff(c_281744,plain,
multiply(sk_c8,sk_c6) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_281739,c_281638]) ).
tff(c_281750,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_281514,c_281744]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_281484,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_281459,c_10]) ).
tff(c_281758,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_281750,c_281484]) ).
tff(c_281781,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_281758,c_4]) ).
tff(c_281630,plain,
! [X_2,Z_1095] : ( multiply(inverse(X_2),multiply(X_2,Z_1095)) = multiply(identity,Z_1095) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_281582]) ).
tff(c_281644,plain,
! [X_2,Z_1095] : ( multiply(inverse(X_2),multiply(X_2,Z_1095)) = Z_1095 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_281630]) ).
tff(c_281865,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_281781,c_281644]) ).
tff(c_281877,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_281865]) ).
tff(c_281881,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_281877,c_281758]) ).
tff(c_281759,plain,
inverse(identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_281750,c_281459]) ).
tff(c_281889,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_281881,c_281759]) ).
tff(c_8,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_281533,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_281459,c_8]) ).
tff(c_281755,plain,
multiply(sk_c3,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_281750,c_281533]) ).
tff(c_281982,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_281877,c_281755]) ).
tff(c_281983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_281889,c_281982]) ).
tff(c_281985,plain,
inverse(sk_c1) != sk_c2,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_68,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_282062,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_281985,c_68]) ).
tff(c_70,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_281997,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_281985,c_70]) ).
tff(c_282001,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_281997,c_4]) ).
tff(c_282163,plain,
! [Z_1105] : ( multiply(sk_c11,multiply(sk_c3,Z_1105)) = multiply(identity,Z_1105) ),
inference(superposition,[status(thm),theory(equality)],[c_282001,c_282121]) ).
tff(c_282898,plain,
! [Z_1119] : ( multiply(sk_c11,multiply(sk_c3,Z_1119)) = Z_1119 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282163]) ).
tff(c_282916,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_282062,c_282898]) ).
tff(c_282148,plain,
! [Z_1105] : ( multiply(sk_c3,multiply(sk_c11,Z_1105)) = multiply(sk_c10,Z_1105) ),
inference(superposition,[status(thm),theory(equality)],[c_282062,c_282121]) ).
tff(c_282923,plain,
multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_282916,c_282148]) ).
tff(c_282929,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_282062,c_282923]) ).
tff(c_287356,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_282929,c_287326]) ).
tff(c_287418,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_287356]) ).
tff(c_72,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_282097,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_281985,c_72]) ).
tff(c_74,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_282034,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_281985,c_74]) ).
tff(c_282038,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_282034,c_4]) ).
tff(c_282154,plain,
! [Z_1105] : ( multiply(sk_c10,multiply(sk_c4,Z_1105)) = multiply(identity,Z_1105) ),
inference(superposition,[status(thm),theory(equality)],[c_282038,c_282121]) ).
tff(c_285186,plain,
! [Z_1161] : ( multiply(sk_c10,multiply(sk_c4,Z_1161)) = Z_1161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282154]) ).
tff(c_285198,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_282097,c_285186]) ).
tff(c_287347,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_285198,c_287326]) ).
tff(c_287417,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_287347]) ).
tff(c_285318,plain,
! [X_1162,Z_1163] : ( multiply(inverse(X_1162),multiply(X_1162,Z_1163)) = Z_1163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282169]) ).
tff(c_285636,plain,
! [X_1166,Z_1167] : ( multiply(inverse(inverse(X_1166)),Z_1167) = multiply(X_1166,Z_1167) ),
inference(superposition,[status(thm),theory(equality)],[c_285318,c_282183]) ).
tff(c_285657,plain,
! [X_1166] : ( multiply(X_1166,inverse(X_1166)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_285636,c_4]) ).
tff(c_285354,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_282929,c_285318]) ).
tff(c_285380,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_285354]) ).
tff(c_285369,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_285318]) ).
tff(c_285643,plain,
! [X_1166] : ( multiply(X_1166,identity) = X_1166 ),
inference(superposition,[status(thm),theory(equality)],[c_285636,c_285369]) ).
tff(c_281984,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_282068,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_281985,c_76]) ).
tff(c_282343,plain,
! [X_1112,Z_1113] : ( multiply(inverse(X_1112),multiply(X_1112,Z_1113)) = Z_1113 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282169]) ).
tff(c_282409,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_282068,c_282343]) ).
tff(c_282467,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_281984,c_282409]) ).
tff(c_282559,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_282467,c_282183]) ).
tff(c_282565,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_282559]) ).
tff(c_282248,plain,
! [Z_1108] : ( multiply(sk_c10,multiply(sk_c4,Z_1108)) = Z_1108 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282154]) ).
tff(c_282260,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_282097,c_282248]) ).
tff(c_282373,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_282260,c_282343]) ).
tff(c_282461,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_282373]) ).
tff(c_282287,plain,
! [Z_1110] : ( multiply(sk_c11,multiply(sk_c3,Z_1110)) = Z_1110 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282163]) ).
tff(c_282305,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_282062,c_282287]) ).
tff(c_282367,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_282305,c_282343]) ).
tff(c_282459,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_282367]) ).
tff(c_22,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_282022,plain,
inverse(sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_282239,plain,
! [X5_6,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c11 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c11 )
| ( multiply(sk_c11,sk_c9) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_282022,c_108]) ).
tff(c_282240,plain,
multiply(sk_c11,sk_c9) != sk_c10,
inference(splitLeft,[status(thm)],[c_282239]) ).
tff(c_282481,plain,
multiply(sk_c11,sk_c9) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_282459,c_282240]) ).
tff(c_282839,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282565,c_282461,c_282481]) ).
tff(c_282841,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(splitRight,[status(thm)],[c_282239]) ).
tff(c_282879,plain,
! [Z_1118] : ( multiply(sk_c3,multiply(sk_c11,Z_1118)) = multiply(sk_c10,Z_1118) ),
inference(superposition,[status(thm),theory(equality)],[c_282062,c_282121]) ).
tff(c_282891,plain,
multiply(sk_c3,sk_c10) = multiply(sk_c10,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_282841,c_282879]) ).
tff(c_285202,plain,
multiply(sk_c3,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_285198,c_282891]) ).
tff(c_282181,plain,
! [Z_1105] : ( multiply(sk_c11,multiply(sk_c3,Z_1105)) = Z_1105 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282163]) ).
tff(c_285213,plain,
multiply(sk_c11,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_285202,c_282181]) ).
tff(c_285220,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_285213,c_282916]) ).
tff(c_283183,plain,
! [X_1124,Z_1125] : ( multiply(inverse(X_1124),multiply(X_1124,Z_1125)) = Z_1125 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282169]) ).
tff(c_283228,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_282929,c_283183]) ).
tff(c_283255,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_283228]) ).
tff(c_282961,plain,
! [Z_1120] : ( multiply(sk_c10,multiply(sk_c4,Z_1120)) = Z_1120 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282154]) ).
tff(c_282973,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_282097,c_282961]) ).
tff(c_282977,plain,
multiply(sk_c3,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_282973,c_282891]) ).
tff(c_282988,plain,
multiply(sk_c11,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_282977,c_282181]) ).
tff(c_283011,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_282988,c_282916]) ).
tff(c_80,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_282073,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_281985,c_80]) ).
tff(c_283029,plain,
multiply(sk_c8,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_283011,c_282073]) ).
tff(c_281989,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_281984,c_4]) ).
tff(c_282166,plain,
! [Z_1105] : ( multiply(sk_c8,multiply(sk_c5,Z_1105)) = multiply(identity,Z_1105) ),
inference(superposition,[status(thm),theory(equality)],[c_281989,c_282121]) ).
tff(c_282856,plain,
! [Z_1117] : ( multiply(sk_c8,multiply(sk_c5,Z_1117)) = Z_1117 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282166]) ).
tff(c_282868,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_282068,c_282856]) ).
tff(c_283027,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_283011,c_282868]) ).
tff(c_283110,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_283029,c_283027]) ).
tff(c_86,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_282091,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_281985,c_86]) ).
tff(c_82,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_282047,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_281985,c_82]) ).
tff(c_282051,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_282047,c_4]) ).
tff(c_282151,plain,
! [Z_1105] : ( multiply(sk_c6,multiply(sk_c7,Z_1105)) = multiply(identity,Z_1105) ),
inference(superposition,[status(thm),theory(equality)],[c_282051,c_282121]) ).
tff(c_282185,plain,
! [Z_1106] : ( multiply(sk_c6,multiply(sk_c7,Z_1106)) = Z_1106 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282151]) ).
tff(c_282197,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_282091,c_282185]) ).
tff(c_84,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_282009,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_281985,c_84]) ).
tff(c_282013,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_282009,c_4]) ).
tff(c_282160,plain,
! [Z_1105] : ( multiply(sk_c8,multiply(sk_c6,Z_1105)) = multiply(identity,Z_1105) ),
inference(superposition,[status(thm),theory(equality)],[c_282013,c_282121]) ).
tff(c_282208,plain,
! [Z_1107] : ( multiply(sk_c8,multiply(sk_c6,Z_1107)) = Z_1107 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_282160]) ).
tff(c_282220,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_282197,c_282208]) ).
tff(c_283121,plain,
multiply(sk_c10,sk_c10) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_283110,c_283110,c_282220]) ).
tff(c_283131,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_282929,c_283121]) ).
tff(c_283147,plain,
inverse(sk_c7) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_283131,c_282047]) ).
tff(c_283169,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_283147,c_4]) ).
tff(c_283289,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_283255,c_283169]) ).
tff(c_283266,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_283255,c_283147]) ).
tff(c_283312,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_283289,c_283266]) ).
tff(c_283435,plain,
! [X_1127,Z_1128] : ( multiply(inverse(inverse(X_1127)),Z_1128) = multiply(X_1127,Z_1128) ),
inference(superposition,[status(thm),theory(equality)],[c_282183,c_283183]) ).
tff(c_283243,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_283183]) ).
tff(c_283442,plain,
! [X_1127] : ( multiply(X_1127,identity) = X_1127 ),
inference(superposition,[status(thm),theory(equality)],[c_283435,c_283243]) ).
tff(c_283035,plain,
inverse(sk_c3) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_283011,c_281997]) ).
tff(c_282840,plain,
! [X5_6,X3_8,X1_10,X7_9,X2_11] :
( ( multiply(inverse(X3_8),sk_c10) != sk_c11 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_282239]) ).
tff(c_282960,plain,
! [X7_9,X5_6] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_282840]) ).
tff(c_283065,plain,
! [X7_1122,X5_1123] :
( ( inverse(multiply(X7_1122,inverse(X5_1123))) != inverse(X5_1123) )
| ( multiply(X7_1122,inverse(X5_1123)) != inverse(X7_1122) )
| ( multiply(inverse(X5_1123),sk_c10) != sk_c10 )
| ( multiply(X5_1123,inverse(X5_1123)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_283011,c_283011,c_282960]) ).
tff(c_283069,plain,
! [X7_1122] :
( ( inverse(multiply(X7_1122,sk_c10)) != inverse(sk_c3) )
| ( multiply(X7_1122,inverse(sk_c3)) != inverse(X7_1122) )
| ( multiply(inverse(sk_c3),sk_c10) != sk_c10 )
| ( multiply(sk_c3,inverse(sk_c3)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_283035,c_283065]) ).
tff(c_283090,plain,
! [X7_1122] :
( ( inverse(multiply(X7_1122,sk_c10)) != sk_c10 )
| ( multiply(X7_1122,sk_c10) != inverse(X7_1122) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_282977,c_283035,c_282929,c_283035,c_283035,c_283035,c_283069]) ).
tff(c_285153,plain,
! [X7_1159] :
( ( inverse(X7_1159) != identity )
| ( inverse(X7_1159) != X7_1159 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_283442,c_283255,c_283442,c_283255,c_283255,c_283090]) ).
tff(c_285161,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_283312,c_285153]) ).
tff(c_285168,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_283312,c_285161]) ).
tff(c_285169,plain,
! [X2_11,X1_10,X3_8] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c11 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_282840]) ).
tff(c_285252,plain,
! [X2_11,X1_10,X3_8] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_285220,c_285220,c_285220,c_285220,c_285169]) ).
tff(c_285253,plain,
! [X3_8] :
( ( multiply(inverse(X3_8),sk_c10) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_285252]) ).
tff(c_287322,plain,
! [X3_8] : ( inverse(X3_8) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_285657,c_285380,c_285643,c_285380,c_285380,c_285253]) ).
tff(c_285242,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_285220,c_282022]) ).
tff(c_285393,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_285380,c_285380,c_285242]) ).
tff(c_287324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_287322,c_285393]) ).
tff(c_287325,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_285252]) ).
tff(c_300383,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_287795,c_287418,c_287417,c_287418,c_287795,c_287418,c_287418,c_287418,c_287325]) ).
tff(c_300385,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_300383]) ).
tff(c_287498,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_287418,c_287418,c_285242]) ).
tff(c_300387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_300385,c_287498]) ).
tff(c_300389,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_300383]) ).
tff(c_300391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_300389,c_287498]) ).
tff(c_300393,plain,
inverse(sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_300428,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_300393,c_16]) ).
tff(c_300493,plain,
! [X_1322,Y_1323,Z_1324] : ( multiply(multiply(X_1322,Y_1323),Z_1324) = multiply(X_1322,multiply(Y_1323,Z_1324)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_300535,plain,
! [Z_1324] : ( multiply(sk_c8,multiply(sk_c5,Z_1324)) = multiply(identity,Z_1324) ),
inference(superposition,[status(thm),theory(equality)],[c_281989,c_300493]) ).
tff(c_300600,plain,
! [Z_1327] : ( multiply(sk_c8,multiply(sk_c5,Z_1327)) = Z_1327 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_300535]) ).
tff(c_300612,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_300428,c_300600]) ).
tff(c_300538,plain,
! [X_2,Z_1324] : ( multiply(inverse(X_2),multiply(X_2,Z_1324)) = multiply(identity,Z_1324) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_300493]) ).
tff(c_300718,plain,
! [X_1330,Z_1331] : ( multiply(inverse(X_1330),multiply(X_1330,Z_1331)) = Z_1331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_300538]) ).
tff(c_300751,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_300612,c_300718]) ).
tff(c_300828,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_300751]) ).
tff(c_300454,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_300393,c_8]) ).
tff(c_300772,plain,
multiply(inverse(sk_c3),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_300454,c_300718]) ).
tff(c_300830,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_281997,c_300772]) ).
tff(c_300975,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_300828,c_2,c_300828,c_300830]) ).
tff(c_300848,plain,
inverse(identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_300828,c_300393]) ).
tff(c_300977,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_300975,c_300848]) ).
tff(c_300401,plain,
inverse(sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_300402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_300393,c_300401]) ).
tff(c_300403,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_300408,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_300403,c_4]) ).
tff(c_300979,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_300975,c_300408]) ).
tff(c_300551,plain,
! [X_2,Z_1324] : ( multiply(inverse(X_2),multiply(X_2,Z_1324)) = Z_1324 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_300538]) ).
tff(c_301013,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_300979,c_300551]) ).
tff(c_301025,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_301013]) ).
tff(c_300980,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_300975,c_300403]) ).
tff(c_301029,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_301025,c_300980]) ).
tff(c_301032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_300977,c_301029]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP378-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 21:58:36 EDT 2023
% 0.15/0.37 % CPUTime :
% 55.06/40.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.18/40.49
% 55.18/40.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 55.71/40.57
% 55.71/40.57 Inference rules
% 55.71/40.57 ----------------------
% 55.71/40.57 #Ref : 0
% 55.71/40.57 #Sup : 71536
% 55.71/40.57 #Fact : 0
% 55.71/40.57 #Define : 0
% 55.71/40.57 #Split : 25
% 55.71/40.57 #Chain : 0
% 55.71/40.57 #Close : 0
% 55.71/40.57
% 55.71/40.57 Ordering : KBO
% 55.71/40.57
% 55.71/40.57 Simplification rules
% 55.71/40.57 ----------------------
% 55.71/40.57 #Subsume : 6
% 55.71/40.57 #Demod : 360742
% 55.71/40.57 #Tautology : 58934
% 55.71/40.57 #SimpNegUnit : 105
% 55.71/40.57 #BackRed : 642
% 55.71/40.57
% 55.71/40.57 #Partial instantiations: 0
% 55.71/40.57 #Strategies tried : 1
% 55.71/40.57
% 55.71/40.57 Timing (in seconds)
% 55.71/40.57 ----------------------
% 55.71/40.58 Preprocessing : 0.58
% 55.71/40.58 Parsing : 0.21
% 55.71/40.58 CNF conversion : 0.03
% 55.71/40.58 Main loop : 38.79
% 55.71/40.58 Inferencing : 6.95
% 55.71/40.58 Reduction : 27.50
% 55.71/40.58 Demodulation : 26.53
% 55.71/40.58 BG Simplification : 0.48
% 55.71/40.58 Subsumption : 2.91
% 55.71/40.58 Abstraction : 2.05
% 55.71/40.58 MUC search : 0.00
% 55.71/40.58 Cooper : 0.00
% 55.71/40.58 Total : 39.55
% 55.71/40.58 Index Insertion : 0.00
% 55.71/40.58 Index Deletion : 0.00
% 55.71/40.58 Index Matching : 0.00
% 55.71/40.58 BG Taut test : 0.00
%------------------------------------------------------------------------------