TSTP Solution File: GRP384-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP384-1 : 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 : n018.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 10:41:08 EDT 2023
% Result : Unsatisfiable 18.96s 8.92s
% Output : CNFRefutation 19.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 48
% Syntax : Number of formulae : 507 ( 412 unt; 14 typ; 0 def)
% Number of atoms : 658 ( 637 equ)
% Maximal formula atoms : 16 ( 1 avg)
% Number of connectives : 332 ( 167 ~; 165 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 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 : 285 (; 285 !; 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_80,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c5) = sk_c8 ) ),
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_146,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c10,sk_c9) = sk_c11 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_290,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( inverse(sk_c11) != sk_c10 )
| ( multiply(sk_c10,sk_c9) != sk_c11 )
| ( multiply(sk_c11,sk_c9) != sk_c10 )
| ( multiply(X3,X4) != sk_c10 )
| ( inverse(X3) != X4 )
| ( multiply(X4,sk_c9) != sk_c10 )
| ( 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_110,axiom,
( ( multiply(sk_c10,sk_c9) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c10,sk_c9) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c10,sk_c9) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_230,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c11,sk_c9) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_209,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_18,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_157,plain,
inverse(sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_161,plain,
multiply(sk_c10,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_157,c_4]) ).
tff(c_70,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_179,plain,
multiply(sk_c1,sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_98,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_145,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_149,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_145,c_4]) ).
tff(c_31352,plain,
! [X_292,Y_293,Z_294] : ( multiply(multiply(X_292,Y_293),Z_294) = multiply(X_292,multiply(Y_293,Z_294)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31409,plain,
! [Z_294] : ( multiply(sk_c2,multiply(sk_c1,Z_294)) = multiply(identity,Z_294) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_31352]) ).
tff(c_31465,plain,
! [Z_296] : ( multiply(sk_c2,multiply(sk_c1,Z_296)) = Z_296 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31409]) ).
tff(c_31477,plain,
multiply(sk_c2,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_179,c_31465]) ).
tff(c_31412,plain,
! [X_2,Z_294] : ( multiply(inverse(X_2),multiply(X_2,Z_294)) = multiply(identity,Z_294) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31352]) ).
tff(c_31504,plain,
! [X_298,Z_299] : ( multiply(inverse(X_298),multiply(X_298,Z_299)) = Z_299 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31412]) ).
tff(c_31525,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_31477,c_31504]) ).
tff(c_31616,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31525]) ).
tff(c_62,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_191,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_31406,plain,
! [Z_294] : ( multiply(sk_c10,multiply(sk_c11,Z_294)) = multiply(identity,Z_294) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_31352]) ).
tff(c_31429,plain,
! [Z_295] : ( multiply(sk_c10,multiply(sk_c11,Z_295)) = Z_295 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31406]) ).
tff(c_31444,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_191,c_31429]) ).
tff(c_31631,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_31616,c_31616,c_31444]) ).
tff(c_31645,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31631]) ).
tff(c_243,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_276,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_243]) ).
tff(c_559,plain,
! [X_26,Z_27] : ( multiply(inverse(X_26),multiply(X_26,Z_27)) = Z_27 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_276]) ).
tff(c_286,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_276]) ).
tff(c_22584,plain,
! [X_197,Z_198] : ( multiply(inverse(inverse(X_197)),Z_198) = multiply(X_197,Z_198) ),
inference(superposition,[status(thm),theory(equality)],[c_559,c_286]) ).
tff(c_619,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_559]) ).
tff(c_22595,plain,
! [X_197] : ( multiply(X_197,identity) = X_197 ),
inference(superposition,[status(thm),theory(equality)],[c_22584,c_619]) ).
tff(c_273,plain,
! [Z_18] : ( multiply(sk_c2,multiply(sk_c1,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_243]) ).
tff(c_311,plain,
! [Z_20] : ( multiply(sk_c2,multiply(sk_c1,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_273]) ).
tff(c_323,plain,
multiply(sk_c2,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_179,c_311]) ).
tff(c_580,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_323,c_559]) ).
tff(c_627,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_580]) ).
tff(c_270,plain,
! [Z_18] : ( multiply(sk_c10,multiply(sk_c11,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_243]) ).
tff(c_288,plain,
! [Z_19] : ( multiply(sk_c10,multiply(sk_c11,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_270]) ).
tff(c_300,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_191,c_288]) ).
tff(c_634,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_627,c_627,c_300]) ).
tff(c_643,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_634]) ).
tff(c_42,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_196,plain,
multiply(sk_c10,sk_c9) = sk_c11,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_636,plain,
multiply(identity,sk_c9) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_627,c_196]) ).
tff(c_22431,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_643,c_636]) ).
tff(c_692,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_643,c_636]) ).
tff(c_641,plain,
inverse(sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_627,c_157]) ).
tff(c_693,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_692,c_641]) ).
tff(c_845,plain,
! [X_30,Z_31] : ( multiply(inverse(inverse(X_30)),Z_31) = multiply(X_30,Z_31) ),
inference(superposition,[status(thm),theory(equality)],[c_559,c_286]) ).
tff(c_856,plain,
! [X_30] : ( multiply(X_30,identity) = X_30 ),
inference(superposition,[status(thm),theory(equality)],[c_845,c_619]) ).
tff(c_890,plain,
! [X_30] : ( multiply(X_30,inverse(X_30)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_845]) ).
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_1235,plain,
! [X_39,Y_40,Z_41] : ( multiply(inverse(multiply(X_39,Y_40)),multiply(X_39,multiply(Y_40,Z_41))) = Z_41 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_559]) ).
tff(c_1326,plain,
! [X_39,X_2] : ( multiply(inverse(multiply(X_39,inverse(X_2))),multiply(X_39,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1235]) ).
tff(c_1363,plain,
! [X_39,X_2] : ( multiply(inverse(multiply(X_39,inverse(X_2))),X_39) = X_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_856,c_1326]) ).
tff(c_897,plain,
! [X_32] : ( multiply(X_32,identity) = X_32 ),
inference(superposition,[status(thm),theory(equality)],[c_845,c_619]) ).
tff(c_911,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_897,c_619]) ).
tff(c_1367,plain,
! [X_42,X_43] : ( multiply(inverse(multiply(X_42,inverse(X_43))),X_42) = X_43 ),
inference(demodulation,[status(thm),theory(equality)],[c_856,c_1326]) ).
tff(c_863,plain,
! [X_30,Z_18] : ( multiply(X_30,multiply(inverse(X_30),Z_18)) = Z_18 ),
inference(superposition,[status(thm),theory(equality)],[c_845,c_286]) ).
tff(c_1444,plain,
! [X_44,X_45] : ( multiply(multiply(X_44,inverse(X_45)),X_45) = X_44 ),
inference(superposition,[status(thm),theory(equality)],[c_1367,c_863]) ).
tff(c_1538,plain,
! [X_46,X_47] : ( multiply(multiply(X_46,X_47),inverse(X_47)) = X_46 ),
inference(superposition,[status(thm),theory(equality)],[c_911,c_1444]) ).
tff(c_1580,plain,
! [X_39,X_2] : ( inverse(multiply(X_39,inverse(X_2))) = multiply(X_2,inverse(X_39)) ),
inference(superposition,[status(thm),theory(equality)],[c_1363,c_1538]) ).
tff(c_337,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_276]) ).
tff(c_397,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_337]) ).
tff(c_355,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_323,c_337]) ).
tff(c_401,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_355]) ).
tff(c_407,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_401,c_401,c_300]) ).
tff(c_415,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_407]) ).
tff(c_128,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_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( multiply(sk_c11,sk_c9) != sk_c10 )
| ( multiply(sk_c10,sk_c9) != sk_c11 )
| ( inverse(sk_c11) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_290]) ).
tff(c_335,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_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157,c_196,c_191,c_128]) ).
tff(c_336,plain,
! [X3_8] :
( ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_335]) ).
tff(c_519,plain,
! [X3_24] :
( ( multiply(inverse(X3_24),identity) != identity )
| ( multiply(X3_24,inverse(X3_24)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_401,c_415,c_401,c_336]) ).
tff(c_526,plain,
multiply(identity,inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_397,c_519]) ).
tff(c_535,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_526]) ).
tff(c_409,plain,
multiply(identity,sk_c9) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_401,c_196]) ).
tff(c_538,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_415,c_409]) ).
tff(c_414,plain,
inverse(sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_401,c_157]) ).
tff(c_539,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_538,c_414]) ).
tff(c_541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_535,c_539]) ).
tff(c_542,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_335]) ).
tff(c_674,plain,
! [X1_10,X2_11,X7_9,X5_6] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),identity) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_627,c_643,c_627,c_627,c_627,c_542]) ).
tff(c_675,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),identity) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_674]) ).
tff(c_22305,plain,
! [X5_192,X7_193] :
( ( multiply(X5_192,inverse(X7_193)) != inverse(X5_192) )
| ( multiply(X7_193,inverse(X5_192)) != inverse(X7_193) )
| ( inverse(X5_192) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_890,c_692,c_856,c_692,c_1580,c_675]) ).
tff(c_22366,plain,
! [X7_193] :
( ( inverse(identity) != inverse(X7_193) )
| ( multiply(X7_193,inverse(identity)) != inverse(X7_193) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_22305]) ).
tff(c_22392,plain,
! [X7_194] :
( ( inverse(X7_194) != identity )
| ( inverse(X7_194) != X7_194 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_693,c_856,c_693,c_693,c_22366]) ).
tff(c_22404,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_693,c_22392]) ).
tff(c_22413,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_693,c_22404]) ).
tff(c_22414,plain,
! [X2_11,X1_10] :
( ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity ) ),
inference(splitRight,[status(thm)],[c_674]) ).
tff(c_31224,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_22595,c_22431,c_22431,c_22595,c_22414]) ).
tff(c_31226,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_31224]) ).
tff(c_22432,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22431,c_641]) ).
tff(c_31228,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31226,c_22432]) ).
tff(c_31230,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_31224]) ).
tff(c_31232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31230,c_22432]) ).
tff(c_31234,plain,
multiply(sk_c10,sk_c9) != sk_c11,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_31638,plain,
multiply(identity,sk_c9) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_31616,c_31234]) ).
tff(c_31646,plain,
sk_c9 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31638]) ).
tff(c_31697,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_31645,c_31646]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_31249,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_31234,c_38]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_31345,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_31234,c_36]) ).
tff(c_31543,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_31345,c_31504]) ).
tff(c_31617,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_31249,c_31543]) ).
tff(c_31427,plain,
! [X_2,Z_294] : ( multiply(inverse(X_2),multiply(X_2,Z_294)) = Z_294 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31412]) ).
tff(c_31797,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_31617,c_31427]) ).
tff(c_31803,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31797]) ).
tff(c_31805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31697,c_31803]) ).
tff(c_31807,plain,
multiply(sk_c11,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_32175,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_31807,c_56]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_31911,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31807,c_52]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_31872,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_31807,c_54]) ).
tff(c_31876,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31872,c_4]) ).
tff(c_31945,plain,
! [X_302,Y_303,Z_304] : ( multiply(multiply(X_302,Y_303),Z_304) = multiply(X_302,multiply(Y_303,Z_304)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31978,plain,
! [Z_304] : ( multiply(sk_c10,multiply(sk_c4,Z_304)) = multiply(identity,Z_304) ),
inference(superposition,[status(thm),theory(equality)],[c_31876,c_31945]) ).
tff(c_32071,plain,
! [Z_307] : ( multiply(sk_c10,multiply(sk_c4,Z_307)) = Z_307 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31978]) ).
tff(c_32083,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_31911,c_32071]) ).
tff(c_31859,plain,
multiply(sk_c10,sk_c9) = sk_c11,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_32087,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_32083,c_31859]) ).
tff(c_32101,plain,
multiply(sk_c10,sk_c9) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_32087,c_31807]) ).
tff(c_32106,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32083,c_32101]) ).
tff(c_32107,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_32112,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32107,c_4]) ).
tff(c_32199,plain,
! [X_308,Y_309,Z_310] : ( multiply(multiply(X_308,Y_309),Z_310) = multiply(X_308,multiply(Y_309,Z_310)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32232,plain,
! [Z_310] : ( multiply(sk_c8,multiply(sk_c5,Z_310)) = multiply(identity,Z_310) ),
inference(superposition,[status(thm),theory(equality)],[c_32112,c_32199]) ).
tff(c_32322,plain,
! [Z_313] : ( multiply(sk_c8,multiply(sk_c5,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32232]) ).
tff(c_32334,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_32175,c_32322]) ).
tff(c_32256,plain,
! [X_2,Z_310] : ( multiply(inverse(X_2),multiply(X_2,Z_310)) = multiply(identity,Z_310) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32199]) ).
tff(c_32345,plain,
! [X_314,Z_315] : ( multiply(inverse(X_314),multiply(X_314,Z_315)) = Z_315 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32256]) ).
tff(c_32363,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_32334,c_32345]) ).
tff(c_32454,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32363]) ).
tff(c_32253,plain,
! [Z_310] : ( multiply(sk_c2,multiply(sk_c1,Z_310)) = multiply(identity,Z_310) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_32199]) ).
tff(c_32299,plain,
! [Z_312] : ( multiply(sk_c2,multiply(sk_c1,Z_312)) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32253]) ).
tff(c_32311,plain,
multiply(sk_c2,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_179,c_32299]) ).
tff(c_32369,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_32311,c_32345]) ).
tff(c_32455,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32369]) ).
tff(c_32108,plain,
multiply(sk_c10,sk_c9) != sk_c11,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_32474,plain,
multiply(identity,sk_c9) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_32455,c_32108]) ).
tff(c_32481,plain,
sk_c9 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32474]) ).
tff(c_32534,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32454,c_32481]) ).
tff(c_32128,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_31807,c_54]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_32184,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32108,c_32]) ).
tff(c_32384,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_32184,c_32345]) ).
tff(c_32456,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_32128,c_32384]) ).
tff(c_32591,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32455,c_2,c_32455,c_32456]) ).
tff(c_32592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32534,c_32591]) ).
tff(c_32594,plain,
multiply(sk_c1,sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_68,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_33811,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32594,c_68]) ).
tff(c_32593,plain,
inverse(sk_c3) = sk_c11,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_32598,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32593,c_4]) ).
tff(c_33842,plain,
! [X_338,Y_339,Z_340] : ( multiply(multiply(X_338,Y_339),Z_340) = multiply(X_338,multiply(Y_339,Z_340)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33887,plain,
! [Z_340] : ( multiply(sk_c11,multiply(sk_c3,Z_340)) = multiply(identity,Z_340) ),
inference(superposition,[status(thm),theory(equality)],[c_32598,c_33842]) ).
tff(c_33955,plain,
! [Z_343] : ( multiply(sk_c11,multiply(sk_c3,Z_343)) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33887]) ).
tff(c_33970,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_33811,c_33955]) ).
tff(c_33893,plain,
! [Z_340] : ( multiply(sk_c10,multiply(sk_c11,Z_340)) = multiply(identity,Z_340) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_33842]) ).
tff(c_33912,plain,
! [Z_340] : ( multiply(sk_c10,multiply(sk_c11,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33893]) ).
tff(c_33977,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33970,c_33912]) ).
tff(c_33983,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161,c_33977]) ).
tff(c_32694,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32594,c_68]) ).
tff(c_32729,plain,
! [X_318,Y_319,Z_320] : ( multiply(multiply(X_318,Y_319),Z_320) = multiply(X_318,multiply(Y_319,Z_320)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32777,plain,
! [Z_320] : ( multiply(sk_c11,multiply(sk_c3,Z_320)) = multiply(identity,Z_320) ),
inference(superposition,[status(thm),theory(equality)],[c_32598,c_32729]) ).
tff(c_33307,plain,
! [Z_331] : ( multiply(sk_c11,multiply(sk_c3,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32777]) ).
tff(c_33322,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_32694,c_33307]) ).
tff(c_32783,plain,
! [Z_320] : ( multiply(sk_c10,multiply(sk_c11,Z_320)) = multiply(identity,Z_320) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_32729]) ).
tff(c_32802,plain,
! [Z_320] : ( multiply(sk_c10,multiply(sk_c11,Z_320)) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32783]) ).
tff(c_33330,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33322,c_32802]) ).
tff(c_33336,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161,c_33330]) ).
tff(c_32613,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_33273,plain,
! [Z_330] : ( multiply(sk_c10,multiply(sk_c11,Z_330)) = Z_330 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32783]) ).
tff(c_33285,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_32613,c_33273]) ).
tff(c_33340,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_33336,c_33336,c_33285]) ).
tff(c_33354,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33340]) ).
tff(c_118,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_32602,plain,
multiply(sk_c2,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_118]) ).
tff(c_32780,plain,
! [Z_320] : ( multiply(sk_c2,multiply(sk_c9,Z_320)) = multiply(sk_c10,Z_320) ),
inference(superposition,[status(thm),theory(equality)],[c_32602,c_32729]) ).
tff(c_33367,plain,
! [Z_320] : ( multiply(sk_c2,multiply(sk_c9,Z_320)) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33336,c_32780]) ).
tff(c_33381,plain,
! [Z_320] : ( multiply(sk_c2,multiply(identity,Z_320)) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_33354,c_33367]) ).
tff(c_33677,plain,
! [Z_337] : ( multiply(sk_c2,Z_337) = Z_337 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33381]) ).
tff(c_33692,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_33677,c_149]) ).
tff(c_33350,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_33336,c_32594]) ).
tff(c_33705,plain,
multiply(identity,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_33692,c_33350]) ).
tff(c_33709,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33705]) ).
tff(c_33288,plain,
multiply(sk_c10,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_32598,c_33273]) ).
tff(c_33339,plain,
multiply(identity,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_33336,c_33288]) ).
tff(c_33353,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33339]) ).
tff(c_33344,plain,
multiply(sk_c3,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33336,c_32694]) ).
tff(c_33445,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33353,c_33344]) ).
tff(c_33352,plain,
inverse(sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33336,c_157]) ).
tff(c_33447,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33445,c_33352]) ).
tff(c_33708,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_33692,c_145]) ).
tff(c_33712,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33447,c_33708]) ).
tff(c_33718,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33709,c_33712]) ).
tff(c_33720,plain,
multiply(sk_c11,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_33770,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_33720,c_54]) ).
tff(c_33992,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33983,c_33770]) ).
tff(c_72,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_33818,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32594,c_72]) ).
tff(c_33989,plain,
multiply(sk_c4,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_33983,c_33818]) ).
tff(c_33899,plain,
! [X_2,Z_340] : ( multiply(inverse(X_2),multiply(X_2,Z_340)) = multiply(identity,Z_340) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33842]) ).
tff(c_33914,plain,
! [X_2,Z_340] : ( multiply(inverse(X_2),multiply(X_2,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33899]) ).
tff(c_34310,plain,
multiply(inverse(sk_c4),sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33989,c_33914]) ).
tff(c_34316,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33992,c_34310]) ).
tff(c_58,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_33752,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_33720,c_58]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_33806,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_32594,c_76]) ).
tff(c_34019,plain,
! [X_344,Z_345] : ( multiply(inverse(X_344),multiply(X_344,Z_345)) = Z_345 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33899]) ).
tff(c_34046,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33806,c_34019]) ).
tff(c_34083,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33752,c_34046]) ).
tff(c_34111,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_34083,c_33914]) ).
tff(c_34117,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34111]) ).
tff(c_33994,plain,
multiply(sk_c11,sk_c9) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_33983,c_33720]) ).
tff(c_34356,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34316,c_2,c_34117,c_33994]) ).
tff(c_34357,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_118]) ).
tff(c_34448,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32594,c_68]) ).
tff(c_35356,plain,
! [X_364,Y_365,Z_366] : ( multiply(multiply(X_364,Y_365),Z_366) = multiply(X_364,multiply(Y_365,Z_366)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35410,plain,
! [X_2,Z_366] : ( multiply(inverse(X_2),multiply(X_2,Z_366)) = multiply(identity,Z_366) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35356]) ).
tff(c_35558,plain,
! [X_373,Z_374] : ( multiply(inverse(X_373),multiply(X_373,Z_374)) = Z_374 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35410]) ).
tff(c_35618,plain,
multiply(inverse(sk_c3),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_34448,c_35558]) ).
tff(c_35684,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_32593,c_35618]) ).
tff(c_35425,plain,
! [X_2,Z_366] : ( multiply(inverse(X_2),multiply(X_2,Z_366)) = Z_366 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35410]) ).
tff(c_35718,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35684,c_35425]) ).
tff(c_35727,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161,c_157,c_35718]) ).
tff(c_35306,plain,
multiply(sk_c10,sk_c9) = sk_c11,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_34358,plain,
multiply(sk_c2,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_118]) ).
tff(c_112,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_34466,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34358,c_112]) ).
tff(c_114,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_34420,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34358,c_114]) ).
tff(c_34424,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34420,c_4]) ).
tff(c_34491,plain,
! [X_348,Y_349,Z_350] : ( multiply(multiply(X_348,Y_349),Z_350) = multiply(X_348,multiply(Y_349,Z_350)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34524,plain,
! [Z_350] : ( multiply(sk_c10,multiply(sk_c4,Z_350)) = multiply(identity,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_34424,c_34491]) ).
tff(c_34707,plain,
! [Z_357] : ( multiply(sk_c10,multiply(sk_c4,Z_357)) = Z_357 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34524]) ).
tff(c_34719,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34466,c_34707]) ).
tff(c_34453,plain,
multiply(sk_c10,sk_c9) = sk_c11,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_34723,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34719,c_34453]) ).
tff(c_34739,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34723,c_161]) ).
tff(c_64,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_34375,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_34542,plain,
! [Z_350] : ( multiply(sk_c10,multiply(sk_c11,Z_350)) = multiply(identity,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_34491]) ).
tff(c_34565,plain,
! [Z_351] : ( multiply(sk_c10,multiply(sk_c11,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34542]) ).
tff(c_34577,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34375,c_34565]) ).
tff(c_34769,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34739,c_34577]) ).
tff(c_34778,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34769,c_34719]) ).
tff(c_34580,plain,
multiply(sk_c10,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_32598,c_34565]) ).
tff(c_34819,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34778,c_34580]) ).
tff(c_34734,plain,
multiply(sk_c3,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34723,c_34448]) ).
tff(c_34934,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34819,c_34734]) ).
tff(c_34937,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34739,c_34934]) ).
tff(c_34963,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34937,c_32594]) ).
tff(c_34548,plain,
! [X_2,Z_350] : ( multiply(inverse(X_2),multiply(X_2,Z_350)) = multiply(identity,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34491]) ).
tff(c_34828,plain,
! [X_358,Z_359] : ( multiply(inverse(X_358),multiply(X_358,Z_359)) = Z_359 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34548]) ).
tff(c_34909,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_149,c_34828]) ).
tff(c_34563,plain,
! [X_2,Z_350] : ( multiply(inverse(X_2),multiply(X_2,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34548]) ).
tff(c_35152,plain,
! [X_361,Z_362] : ( multiply(inverse(inverse(X_361)),Z_362) = multiply(X_361,Z_362) ),
inference(superposition,[status(thm),theory(equality)],[c_34563,c_34828]) ).
tff(c_34915,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34828]) ).
tff(c_35207,plain,
! [X_363] : ( multiply(X_363,identity) = X_363 ),
inference(superposition,[status(thm),theory(equality)],[c_35152,c_34915]) ).
tff(c_35255,plain,
inverse(sk_c2) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_34909,c_35207]) ).
tff(c_35297,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35255,c_4]) ).
tff(c_35303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34963,c_35297]) ).
tff(c_35305,plain,
multiply(sk_c10,sk_c9) != sk_c11,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_35316,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35306,c_35305]) ).
tff(c_35317,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_35386,plain,
! [Z_366] : ( multiply(sk_c10,multiply(sk_c4,Z_366)) = multiply(identity,Z_366) ),
inference(superposition,[status(thm),theory(equality)],[c_34424,c_35356]) ).
tff(c_35476,plain,
! [Z_369] : ( multiply(sk_c10,multiply(sk_c4,Z_369)) = Z_369 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35386]) ).
tff(c_35488,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35317,c_35476]) ).
tff(c_35508,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35488,c_35305]) ).
tff(c_35767,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35727,c_35508]) ).
tff(c_35304,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_35615,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35304,c_35558]) ).
tff(c_35683,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34357,c_35615]) ).
tff(c_35865,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_35683,c_35425]) ).
tff(c_35874,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35865]) ).
tff(c_35876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35767,c_35874]) ).
tff(c_35878,plain,
multiply(sk_c11,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_35975,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_35878,c_56]) ).
tff(c_35996,plain,
! [X_377,Y_378,Z_379] : ( multiply(multiply(X_377,Y_378),Z_379) = multiply(X_377,multiply(Y_378,Z_379)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36047,plain,
! [X_2,Z_379] : ( multiply(inverse(X_2),multiply(X_2,Z_379)) = multiply(identity,Z_379) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35996]) ).
tff(c_36126,plain,
! [X_383,Z_384] : ( multiply(inverse(X_383),multiply(X_383,Z_384)) = Z_384 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36047]) ).
tff(c_36162,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35975,c_36126]) ).
tff(c_36227,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34357,c_36162]) ).
tff(c_36062,plain,
! [X_2,Z_379] : ( multiply(inverse(X_2),multiply(X_2,Z_379)) = Z_379 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36047]) ).
tff(c_36247,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36227,c_36062]) ).
tff(c_36253,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36247]) ).
tff(c_35958,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32594,c_68]) ).
tff(c_36168,plain,
multiply(inverse(sk_c3),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_35958,c_36126]) ).
tff(c_36229,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_32593,c_36168]) ).
tff(c_36349,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36253,c_2,c_36253,c_36229]) ).
tff(c_35966,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35878,c_52]) ).
tff(c_35916,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_35878,c_54]) ).
tff(c_35920,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35916,c_4]) ).
tff(c_36026,plain,
! [Z_379] : ( multiply(sk_c10,multiply(sk_c4,Z_379)) = multiply(identity,Z_379) ),
inference(superposition,[status(thm),theory(equality)],[c_35920,c_35996]) ).
tff(c_36103,plain,
! [Z_382] : ( multiply(sk_c10,multiply(sk_c4,Z_382)) = Z_382 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36026]) ).
tff(c_36115,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35966,c_36103]) ).
tff(c_36144,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36115,c_36126]) ).
tff(c_36226,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36144]) ).
tff(c_36238,plain,
multiply(sk_c11,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36226,c_35878]) ).
tff(c_36572,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36349,c_2,c_36253,c_36238]) ).
tff(c_36574,plain,
inverse(sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_8,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_36682,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36574,c_8]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_36608,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_36574,c_10]) ).
tff(c_36612,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36608,c_4]) ).
tff(c_36718,plain,
! [X_389,Y_390,Z_391] : ( multiply(multiply(X_389,Y_390),Z_391) = multiply(X_389,multiply(Y_390,Z_391)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36754,plain,
! [Z_391] : ( multiply(sk_c11,multiply(sk_c3,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_36612,c_36718]) ).
tff(c_36805,plain,
! [Z_393] : ( multiply(sk_c11,multiply(sk_c3,Z_393)) = Z_393 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36754]) ).
tff(c_36817,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36682,c_36805]) ).
tff(c_36766,plain,
! [X_2,Z_391] : ( multiply(inverse(X_2),multiply(X_2,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36718]) ).
tff(c_36954,plain,
! [X_399,Z_400] : ( multiply(inverse(X_399),multiply(X_399,Z_400)) = Z_400 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36766]) ).
tff(c_37002,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36817,c_36954]) ).
tff(c_37078,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37002]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_36648,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_36574,c_16]) ).
tff(c_36573,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_36589,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36573,c_4]) ).
tff(c_36760,plain,
! [Z_391] : ( multiply(sk_c8,multiply(sk_c5,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_36589,c_36718]) ).
tff(c_36841,plain,
! [Z_395] : ( multiply(sk_c8,multiply(sk_c5,Z_395)) = Z_395 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36760]) ).
tff(c_36853,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36648,c_36841]) ).
tff(c_36993,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36853,c_36954]) ).
tff(c_37077,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36993]) ).
tff(c_37108,plain,
inverse(identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37077,c_36574]) ).
tff(c_37193,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37078,c_37108]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_36575,plain,
inverse(sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_36583,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36574,c_36575]) ).
tff(c_36584,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_37117,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37078,c_36584]) ).
tff(c_37189,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37117,c_4]) ).
tff(c_36780,plain,
! [X_2,Z_391] : ( multiply(inverse(X_2),multiply(X_2,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36766]) ).
tff(c_37250,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_37189,c_36780]) ).
tff(c_37262,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37250]) ).
tff(c_37267,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37262,c_37117]) ).
tff(c_37271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37193,c_37267]) ).
tff(c_37273,plain,
inverse(sk_c1) != sk_c2,
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_88,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_37379,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_37273,c_88]) ).
tff(c_90,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_37309,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_37273,c_90]) ).
tff(c_37313,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37309,c_4]) ).
tff(c_37419,plain,
! [X_403,Y_404,Z_405] : ( multiply(multiply(X_403,Y_404),Z_405) = multiply(X_403,multiply(Y_404,Z_405)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37455,plain,
! [Z_405] : ( multiply(sk_c11,multiply(sk_c3,Z_405)) = multiply(identity,Z_405) ),
inference(superposition,[status(thm),theory(equality)],[c_37313,c_37419]) ).
tff(c_37506,plain,
! [Z_407] : ( multiply(sk_c11,multiply(sk_c3,Z_407)) = Z_407 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37455]) ).
tff(c_37518,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_37379,c_37506]) ).
tff(c_37467,plain,
! [X_2,Z_405] : ( multiply(inverse(X_2),multiply(X_2,Z_405)) = multiply(identity,Z_405) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37419]) ).
tff(c_37648,plain,
! [X_412,Z_413] : ( multiply(inverse(X_412),multiply(X_412,Z_413)) = Z_413 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37467]) ).
tff(c_37693,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_37518,c_37648]) ).
tff(c_37771,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37693]) ).
tff(c_96,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_37369,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_37273,c_96]) ).
tff(c_37272,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_37277,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37272,c_4]) ).
tff(c_37464,plain,
! [Z_405] : ( multiply(sk_c8,multiply(sk_c5,Z_405)) = multiply(identity,Z_405) ),
inference(superposition,[status(thm),theory(equality)],[c_37277,c_37419]) ).
tff(c_37529,plain,
! [Z_408] : ( multiply(sk_c8,multiply(sk_c5,Z_408)) = Z_408 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37464]) ).
tff(c_37541,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37369,c_37529]) ).
tff(c_37687,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_37541,c_37648]) ).
tff(c_37770,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37687]) ).
tff(c_37285,plain,
inverse(sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_92,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_37374,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_37273,c_92]) ).
tff(c_94,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_37337,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_37273,c_94]) ).
tff(c_37341,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37337,c_4]) ).
tff(c_37449,plain,
! [Z_405] : ( multiply(sk_c10,multiply(sk_c4,Z_405)) = multiply(identity,Z_405) ),
inference(superposition,[status(thm),theory(equality)],[c_37341,c_37419]) ).
tff(c_37483,plain,
! [Z_406] : ( multiply(sk_c10,multiply(sk_c4,Z_406)) = Z_406 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37449]) ).
tff(c_37495,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_37374,c_37483]) ).
tff(c_37546,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_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( multiply(sk_c11,sk_c9) != sk_c10 )
| ( sk_c11 != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37285,c_37495,c_128]) ).
tff(c_37547,plain,
sk_c11 != sk_c10,
inference(splitLeft,[status(thm)],[c_37546]) ).
tff(c_37787,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37770,c_37547]) ).
tff(c_37869,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37771,c_37787]) ).
tff(c_37871,plain,
sk_c11 = sk_c10,
inference(splitRight,[status(thm)],[c_37546]) ).
tff(c_37872,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37871,c_37871,c_37518]) ).
tff(c_37481,plain,
! [X_2,Z_405] : ( multiply(inverse(X_2),multiply(X_2,Z_405)) = Z_405 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37467]) ).
tff(c_38023,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_37872,c_37481]) ).
tff(c_38029,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38023]) ).
tff(c_37880,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37871,c_37285]) ).
tff(c_38033,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38029,c_38029,c_37880]) ).
tff(c_37899,plain,
! [X_415,Z_416] : ( multiply(inverse(X_415),multiply(X_415,Z_416)) = Z_416 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37467]) ).
tff(c_38272,plain,
! [X_420,Z_421] : ( multiply(inverse(inverse(X_420)),Z_421) = multiply(X_420,Z_421) ),
inference(superposition,[status(thm),theory(equality)],[c_37481,c_37899]) ).
tff(c_37965,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37899]) ).
tff(c_38279,plain,
! [X_420] : ( multiply(X_420,identity) = X_420 ),
inference(superposition,[status(thm),theory(equality)],[c_38272,c_37965]) ).
tff(c_38293,plain,
! [X_420] : ( multiply(X_420,inverse(X_420)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_38272,c_4]) ).
tff(c_38035,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38029,c_37871]) ).
tff(c_38465,plain,
! [X_425,Y_426,Z_427] : ( multiply(inverse(multiply(X_425,Y_426)),multiply(X_425,multiply(Y_426,Z_427))) = Z_427 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_37899]) ).
tff(c_38532,plain,
! [X_425,X_2] : ( multiply(inverse(multiply(X_425,inverse(X_2))),multiply(X_425,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38465]) ).
tff(c_38660,plain,
! [X_430,X_431] : ( multiply(inverse(multiply(X_430,inverse(X_431))),X_430) = X_431 ),
inference(demodulation,[status(thm),theory(equality)],[c_38279,c_38532]) ).
tff(c_38286,plain,
! [X_420,Z_405] : ( multiply(X_420,multiply(inverse(X_420),Z_405)) = Z_405 ),
inference(superposition,[status(thm),theory(equality)],[c_38272,c_37481]) ).
tff(c_38670,plain,
! [X_430,X_431] : ( multiply(multiply(X_430,inverse(X_431)),X_431) = X_430 ),
inference(superposition,[status(thm),theory(equality)],[c_38660,c_38286]) ).
tff(c_38315,plain,
! [X_422] : ( multiply(X_422,identity) = X_422 ),
inference(superposition,[status(thm),theory(equality)],[c_38272,c_37965]) ).
tff(c_37911,plain,
! [X_2,Z_405] : ( multiply(inverse(inverse(X_2)),Z_405) = multiply(X_2,Z_405) ),
inference(superposition,[status(thm),theory(equality)],[c_37481,c_37899]) ).
tff(c_38322,plain,
! [X_2] : ( inverse(inverse(X_2)) = multiply(X_2,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_38315,c_37911]) ).
tff(c_38367,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_38279,c_38322]) ).
tff(c_38501,plain,
! [X_425,X_420] : ( multiply(inverse(multiply(X_425,X_420)),multiply(X_425,identity)) = inverse(X_420) ),
inference(superposition,[status(thm),theory(equality)],[c_38293,c_38465]) ).
tff(c_38916,plain,
! [X_436,X_437] : ( multiply(inverse(multiply(X_436,X_437)),X_436) = inverse(X_437) ),
inference(demodulation,[status(thm),theory(equality)],[c_38279,c_38501]) ).
tff(c_38554,plain,
! [X_425,X_420] : ( multiply(inverse(multiply(X_425,X_420)),X_425) = inverse(X_420) ),
inference(demodulation,[status(thm),theory(equality)],[c_38279,c_38501]) ).
tff(c_38919,plain,
! [X_437,X_436] : ( multiply(inverse(inverse(X_437)),inverse(multiply(X_436,X_437))) = inverse(X_436) ),
inference(superposition,[status(thm),theory(equality)],[c_38916,c_38554]) ).
tff(c_39028,plain,
! [X_438,X_439] : ( multiply(X_438,inverse(multiply(X_439,X_438))) = inverse(X_439) ),
inference(demodulation,[status(thm),theory(equality)],[c_38367,c_38919]) ).
tff(c_39085,plain,
! [X_430,X_431] : ( inverse(multiply(X_430,inverse(X_431))) = multiply(X_431,inverse(X_430)) ),
inference(superposition,[status(thm),theory(equality)],[c_38670,c_39028]) ).
tff(c_37926,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_37495,c_37899]) ).
tff(c_37972,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37926]) ).
tff(c_37870,plain,
! [X5_6,X3_8,X1_10,X7_9,X2_11] :
( ( multiply(sk_c11,sk_c9) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( 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_37546]) ).
tff(c_46347,plain,
! [X5_6,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(X3_8) != identity )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( multiply(X5_6,inverse(X7_9)) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38293,c_38035,c_38279,c_38035,c_38029,c_39085,c_38279,c_38029,c_37972,c_38029,c_38279,c_38035,c_38029,c_38035,c_38293,c_38029,c_38279,c_38029,c_37972,c_2,c_38035,c_38029,c_37972,c_37870]) ).
tff(c_69870,plain,
! [X5_620,X7_621] :
( ( multiply(X5_620,inverse(X7_621)) != inverse(X5_620) )
| ( multiply(X7_621,inverse(X5_620)) != inverse(X7_621) )
| ( inverse(X5_620) != identity ) ),
inference(splitLeft,[status(thm)],[c_46347]) ).
tff(c_69938,plain,
! [X7_621] :
( ( inverse(identity) != inverse(X7_621) )
| ( multiply(X7_621,inverse(identity)) != inverse(X7_621) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_69870]) ).
tff(c_69966,plain,
! [X7_622] :
( ( inverse(X7_622) != identity )
| ( inverse(X7_622) != X7_622 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38033,c_38279,c_38033,c_38033,c_69938]) ).
tff(c_69978,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_38033,c_69966]) ).
tff(c_69987,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38033,c_69978]) ).
tff(c_69988,plain,
! [X3_8,X1_10,X2_11] :
( ( inverse(X3_8) != identity )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_46347]) ).
tff(c_81258,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_69988]) ).
tff(c_81260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81258,c_38033]) ).
tff(c_81261,plain,
! [X1_10,X3_8] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X3_8) != identity ) ),
inference(splitRight,[status(thm)],[c_69988]) ).
tff(c_81262,plain,
! [X3_8] : ( inverse(X3_8) != identity ),
inference(splitLeft,[status(thm)],[c_81261]) ).
tff(c_81264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81262,c_38033]) ).
tff(c_81266,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_81261]) ).
tff(c_81268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81266,c_38033]) ).
tff(c_81270,plain,
inverse(sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_81336,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_81270,c_16]) ).
tff(c_81403,plain,
! [X_683,Y_684,Z_685] : ( multiply(multiply(X_683,Y_684),Z_685) = multiply(X_683,multiply(Y_684,Z_685)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_81445,plain,
! [Z_685] : ( multiply(sk_c8,multiply(sk_c5,Z_685)) = multiply(identity,Z_685) ),
inference(superposition,[status(thm),theory(equality)],[c_37277,c_81403]) ).
tff(c_81510,plain,
! [Z_688] : ( multiply(sk_c8,multiply(sk_c5,Z_688)) = Z_688 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_81445]) ).
tff(c_81522,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_81336,c_81510]) ).
tff(c_81557,plain,
! [Z_690] : ( multiply(sk_c5,multiply(sk_c8,Z_690)) = multiply(sk_c11,Z_690) ),
inference(superposition,[status(thm),theory(equality)],[c_81336,c_81403]) ).
tff(c_81572,plain,
multiply(sk_c5,sk_c8) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_81522,c_81557]) ).
tff(c_81594,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_81336,c_81572]) ).
tff(c_81448,plain,
! [X_2,Z_685] : ( multiply(inverse(X_2),multiply(X_2,Z_685)) = multiply(identity,Z_685) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_81403]) ).
tff(c_81651,plain,
! [X_691,Z_692] : ( multiply(inverse(X_691),multiply(X_691,Z_692)) = Z_692 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_81448]) ).
tff(c_81672,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_81594,c_81651]) ).
tff(c_81724,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_81672]) ).
tff(c_81344,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_81270,c_8]) ).
tff(c_81269,plain,
inverse(sk_c3) = sk_c11,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_81274,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_81269,c_4]) ).
tff(c_81442,plain,
! [Z_685] : ( multiply(sk_c11,multiply(sk_c3,Z_685)) = multiply(identity,Z_685) ),
inference(superposition,[status(thm),theory(equality)],[c_81274,c_81403]) ).
tff(c_81534,plain,
! [Z_689] : ( multiply(sk_c11,multiply(sk_c3,Z_689)) = Z_689 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_81442]) ).
tff(c_81546,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_81344,c_81534]) ).
tff(c_81678,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_81546,c_81651]) ).
tff(c_81725,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_81678]) ).
tff(c_81739,plain,
inverse(sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_81725,c_81270]) ).
tff(c_81782,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_81724,c_81739]) ).
tff(c_100,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_81328,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_37273,c_100]) ).
tff(c_81584,plain,
multiply(sk_c5,sk_c11) = multiply(sk_c11,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_81328,c_81557]) ).
tff(c_81595,plain,
multiply(sk_c5,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_81546,c_81584]) ).
tff(c_81460,plain,
! [Z_685] : ( multiply(sk_c8,multiply(sk_c5,Z_685)) = Z_685 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_81445]) ).
tff(c_81599,plain,
multiply(sk_c8,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_81595,c_81460]) ).
tff(c_81613,plain,
sk_c8 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_81599,c_81522]) ).
tff(c_104,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_81310,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_37273,c_104]) ).
tff(c_81634,plain,
inverse(sk_c6) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_81613,c_81310]) ).
tff(c_81647,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_81634,c_4]) ).
tff(c_81760,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_81724,c_81647]) ).
tff(c_81748,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81724,c_81634]) ).
tff(c_81804,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81760,c_81748]) ).
tff(c_81805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81782,c_81804]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : GRP384-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.15 % 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
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:06:35 EDT 2023
% 0.14/0.36 % CPUTime :
% 18.96/8.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.13/8.99
% 19.13/8.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.39/9.05
% 19.39/9.05 Inference rules
% 19.39/9.05 ----------------------
% 19.39/9.05 #Ref : 0
% 19.39/9.05 #Sup : 19822
% 19.39/9.05 #Fact : 0
% 19.39/9.05 #Define : 0
% 19.39/9.05 #Split : 28
% 19.39/9.05 #Chain : 0
% 19.39/9.05 #Close : 0
% 19.39/9.05
% 19.39/9.05 Ordering : KBO
% 19.39/9.05
% 19.39/9.05 Simplification rules
% 19.39/9.05 ----------------------
% 19.39/9.05 #Subsume : 12
% 19.39/9.05 #Demod : 66014
% 19.39/9.05 #Tautology : 16203
% 19.39/9.05 #SimpNegUnit : 164
% 19.39/9.05 #BackRed : 472
% 19.39/9.05
% 19.39/9.05 #Partial instantiations: 0
% 19.39/9.05 #Strategies tried : 1
% 19.39/9.05
% 19.39/9.05 Timing (in seconds)
% 19.39/9.05 ----------------------
% 19.39/9.05 Preprocessing : 0.59
% 19.39/9.06 Parsing : 0.21
% 19.39/9.06 CNF conversion : 0.03
% 19.39/9.06 Main loop : 7.20
% 19.39/9.06 Inferencing : 1.83
% 19.39/9.06 Reduction : 4.34
% 19.39/9.06 Demodulation : 4.05
% 19.39/9.06 BG Simplification : 0.15
% 19.39/9.06 Subsumption : 0.61
% 19.39/9.06 Abstraction : 0.45
% 19.39/9.06 MUC search : 0.00
% 19.39/9.06 Cooper : 0.00
% 19.39/9.06 Total : 7.94
% 19.39/9.06 Index Insertion : 0.00
% 19.39/9.06 Index Deletion : 0.00
% 19.39/9.06 Index Matching : 0.00
% 19.39/9.06 BG Taut test : 0.00
%------------------------------------------------------------------------------