TSTP Solution File: GRP221-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP221-1 : 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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:31 EDT 2023
% Result : Unsatisfiable 27.90s 15.44s
% Output : CNFRefutation 28.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 61
% Syntax : Number of formulae : 1142 ( 967 unt; 13 typ; 0 def)
% Number of atoms : 1497 (1441 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 807 ( 439 ~; 368 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 587 (; 587 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c4,sk_c10) = sk_c5 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c10,sk_c5) = sk_c9 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( multiply(sk_c4,sk_c10) = sk_c5 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_248,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( inverse(X4) != sk_c10 )
| ( multiply(X4,sk_c9) != sk_c10 )
| ( multiply(X5,X6) != sk_c9 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c10) != sk_c9 )
| ( multiply(sk_c10,X7) != sk_c9 )
| ( multiply(X8,sk_c10) != X7 )
| ( inverse(X8) != sk_c10 )
| ( inverse(sk_c10) != sk_c9 )
| ( inverse(X1) != sk_c10 )
| ( multiply(X1,sk_c9) != sk_c10 )
| ( multiply(sk_c10,X2) != sk_c9 )
| ( multiply(X3,sk_c10) != X2 )
| ( inverse(X3) != sk_c10 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( multiply(sk_c4,sk_c10) = sk_c5 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( multiply(sk_c4,sk_c10) = sk_c5 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( multiply(sk_c4,sk_c10) = sk_c5 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( multiply(sk_c4,sk_c10) = sk_c5 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c10,sk_c5) = sk_c9 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( multiply(sk_c10,sk_c5) = sk_c9 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c10,sk_c5) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c10,sk_c5) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_138380,plain,
! [X_1197,Y_1198,Z_1199] : ( multiply(multiply(X_1197,Y_1198),Z_1199) = multiply(X_1197,multiply(Y_1198,Z_1199)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_138419,plain,
! [X_2,Z_1199] : ( multiply(inverse(X_2),multiply(X_2,Z_1199)) = multiply(identity,Z_1199) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_138380]) ).
tff(c_144852,plain,
! [X_1269,Z_1270] : ( multiply(inverse(X_1269),multiply(X_1269,Z_1270)) = Z_1270 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138419]) ).
tff(c_138432,plain,
! [X_2,Z_1199] : ( multiply(inverse(X_2),multiply(X_2,Z_1199)) = Z_1199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138419]) ).
tff(c_145047,plain,
! [X_1273,Z_1274] : ( multiply(inverse(inverse(X_1273)),Z_1274) = multiply(X_1273,Z_1274) ),
inference(superposition,[status(thm),theory(equality)],[c_144852,c_138432]) ).
tff(c_144894,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_144852]) ).
tff(c_145057,plain,
! [X_1273] : ( multiply(X_1273,identity) = X_1273 ),
inference(superposition,[status(thm),theory(equality)],[c_145047,c_144894]) ).
tff(c_138810,plain,
! [X_1205,Z_1206] : ( multiply(inverse(X_1205),multiply(X_1205,Z_1206)) = Z_1206 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138419]) ).
tff(c_138996,plain,
! [X_1209,Z_1210] : ( multiply(inverse(inverse(X_1209)),Z_1210) = multiply(X_1209,Z_1210) ),
inference(superposition,[status(thm),theory(equality)],[c_138432,c_138810]) ).
tff(c_139043,plain,
! [X_1209] : ( multiply(X_1209,inverse(X_1209)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_138996]) ).
tff(c_138849,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_138810]) ).
tff(c_139006,plain,
! [X_1209] : ( multiply(X_1209,identity) = X_1209 ),
inference(superposition,[status(thm),theory(equality)],[c_138996,c_138849]) ).
tff(c_61256,plain,
! [X_887,Y_888,Z_889] : ( multiply(multiply(X_887,Y_888),Z_889) = multiply(X_887,multiply(Y_888,Z_889)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_61295,plain,
! [X_2,Z_889] : ( multiply(inverse(X_2),multiply(X_2,Z_889)) = multiply(identity,Z_889) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_61256]) ).
tff(c_62484,plain,
! [X_910,Z_911] : ( multiply(inverse(X_910),multiply(X_910,Z_911)) = Z_911 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61295]) ).
tff(c_61308,plain,
! [X_2,Z_889] : ( multiply(inverse(X_2),multiply(X_2,Z_889)) = Z_889 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61295]) ).
tff(c_62772,plain,
! [X_916,Z_917] : ( multiply(inverse(inverse(X_916)),Z_917) = multiply(X_916,Z_917) ),
inference(superposition,[status(thm),theory(equality)],[c_62484,c_61308]) ).
tff(c_62819,plain,
! [X_916] : ( multiply(X_916,inverse(X_916)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_62772]) ).
tff(c_62517,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_62484]) ).
tff(c_62782,plain,
! [X_916] : ( multiply(X_916,identity) = X_916 ),
inference(superposition,[status(thm),theory(equality)],[c_62772,c_62517]) ).
tff(c_61569,plain,
! [X_893,Z_894] : ( multiply(inverse(X_893),multiply(X_893,Z_894)) = Z_894 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61295]) ).
tff(c_61764,plain,
! [X_897,Z_898] : ( multiply(inverse(inverse(X_897)),Z_898) = multiply(X_897,Z_898) ),
inference(superposition,[status(thm),theory(equality)],[c_61569,c_61308]) ).
tff(c_61605,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_61569]) ).
tff(c_61774,plain,
! [X_897] : ( multiply(X_897,identity) = X_897 ),
inference(superposition,[status(thm),theory(equality)],[c_61764,c_61605]) ).
tff(c_18,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_121,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_125,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_121,c_4]) ).
tff(c_36031,plain,
! [X_560,Y_561,Z_562] : ( multiply(multiply(X_560,Y_561),Z_562) = multiply(X_560,multiply(Y_561,Z_562)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36076,plain,
! [X_2,Z_562] : ( multiply(inverse(X_2),multiply(X_2,Z_562)) = multiply(identity,Z_562) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36031]) ).
tff(c_38279,plain,
! [X_604,Z_605] : ( multiply(inverse(X_604),multiply(X_604,Z_605)) = Z_605 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36076]) ).
tff(c_36090,plain,
! [X_2,Z_562] : ( multiply(inverse(X_2),multiply(X_2,Z_562)) = Z_562 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36076]) ).
tff(c_38654,plain,
! [X_609,Z_610] : ( multiply(inverse(inverse(X_609)),Z_610) = multiply(X_609,Z_610) ),
inference(superposition,[status(thm),theory(equality)],[c_38279,c_36090]) ).
tff(c_38336,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38279]) ).
tff(c_38664,plain,
! [X_609] : ( multiply(X_609,identity) = X_609 ),
inference(superposition,[status(thm),theory(equality)],[c_38654,c_38336]) ).
tff(c_32353,plain,
! [X_470,Y_471,Z_472] : ( multiply(multiply(X_470,Y_471),Z_472) = multiply(X_470,multiply(Y_471,Z_472)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32404,plain,
! [X_2,Z_472] : ( multiply(inverse(X_2),multiply(X_2,Z_472)) = multiply(identity,Z_472) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32353]) ).
tff(c_33799,plain,
! [X_504,Z_505] : ( multiply(inverse(X_504),multiply(X_504,Z_505)) = Z_505 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32404]) ).
tff(c_32418,plain,
! [X_2,Z_472] : ( multiply(inverse(X_2),multiply(X_2,Z_472)) = Z_472 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32404]) ).
tff(c_34081,plain,
! [X_509,Z_510] : ( multiply(inverse(inverse(X_509)),Z_510) = multiply(X_509,Z_510) ),
inference(superposition,[status(thm),theory(equality)],[c_33799,c_32418]) ).
tff(c_33832,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33799]) ).
tff(c_34088,plain,
! [X_509] : ( multiply(X_509,identity) = X_509 ),
inference(superposition,[status(thm),theory(equality)],[c_34081,c_33832]) ).
tff(c_33108,plain,
! [X_489,Z_490] : ( multiply(inverse(X_489),multiply(X_489,Z_490)) = Z_490 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32404]) ).
tff(c_33363,plain,
! [X_493,Z_494] : ( multiply(inverse(inverse(X_493)),Z_494) = multiply(X_493,Z_494) ),
inference(superposition,[status(thm),theory(equality)],[c_32418,c_33108]) ).
tff(c_33153,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33108]) ).
tff(c_33370,plain,
! [X_493] : ( multiply(X_493,identity) = X_493 ),
inference(superposition,[status(thm),theory(equality)],[c_33363,c_33153]) ).
tff(c_90,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_29220,plain,
multiply(sk_c4,sk_c10) = sk_c5,
inference(splitLeft,[status(thm)],[c_90]) ).
tff(c_102,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_133,plain,
inverse(sk_c4) = sk_c10,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_137,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133,c_4]) ).
tff(c_30123,plain,
! [X_421,Y_422,Z_423] : ( multiply(multiply(X_421,Y_422),Z_423) = multiply(X_421,multiply(Y_422,Z_423)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30165,plain,
! [Z_423] : ( multiply(sk_c10,multiply(sk_c4,Z_423)) = multiply(identity,Z_423) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_30123]) ).
tff(c_30200,plain,
! [Z_425] : ( multiply(sk_c10,multiply(sk_c4,Z_425)) = Z_425 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30165]) ).
tff(c_30212,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_29220,c_30200]) ).
tff(c_70,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( multiply(sk_c10,sk_c5) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_164,plain,
multiply(sk_c10,sk_c5) = sk_c9,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_30292,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30212,c_164]) ).
tff(c_80,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_193,plain,
multiply(sk_c4,sk_c10) = sk_c5,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_222,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_255,plain,
! [Z_18] : ( multiply(sk_c10,multiply(sk_c4,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_222]) ).
tff(c_297,plain,
! [Z_20] : ( multiply(sk_c10,multiply(sk_c4,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_255]) ).
tff(c_309,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_193,c_297]) ).
tff(c_601,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_309,c_164]) ).
tff(c_314,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_309,c_164]) ).
tff(c_66,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_174,plain,
multiply(sk_c3,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_325,plain,
multiply(sk_c3,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_314,c_174]) ).
tff(c_32,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_165,plain,
multiply(sk_c2,sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_54,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_147,plain,
inverse(sk_c2) = sk_c3,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_151,plain,
multiply(sk_c3,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_147,c_4]) ).
tff(c_252,plain,
! [Z_18] : ( multiply(sk_c3,multiply(sk_c2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_222]) ).
tff(c_274,plain,
! [Z_19] : ( multiply(sk_c3,multiply(sk_c2,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_252]) ).
tff(c_286,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_165,c_274]) ).
tff(c_323,plain,
multiply(sk_c3,sk_c10) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_314,c_286]) ).
tff(c_382,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_325,c_323]) ).
tff(c_383,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_325]) ).
tff(c_261,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_222]) ).
tff(c_272,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_261]) ).
tff(c_491,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_383,c_272]) ).
tff(c_497,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_491]) ).
tff(c_104,plain,
! [X5_6,X4_13,X3_8,X8_12,X1_10] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(sk_c10) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_313,plain,
inverse(sk_c10) != sk_c9,
inference(splitLeft,[status(thm)],[c_104]) ).
tff(c_322,plain,
inverse(sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_314,c_313]) ).
tff(c_505,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_497,c_497,c_322]) ).
tff(c_509,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_497,c_133]) ).
tff(c_532,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_509,c_4]) ).
tff(c_559,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_532,c_272]) ).
tff(c_571,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_559]) ).
tff(c_575,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_571,c_509]) ).
tff(c_583,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_505,c_575]) ).
tff(c_585,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_589,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_585,c_4]) ).
tff(c_609,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_601,c_589]) ).
tff(c_613,plain,
multiply(sk_c3,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_601,c_174]) ).
tff(c_614,plain,
multiply(sk_c2,sk_c3) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_601,c_165]) ).
tff(c_269,plain,
! [Z_18] : ( multiply(sk_c3,multiply(sk_c2,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_252]) ).
tff(c_657,plain,
multiply(sk_c3,sk_c10) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_614,c_269]) ).
tff(c_663,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_613,c_657]) ).
tff(c_611,plain,
multiply(sk_c3,sk_c10) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_601,c_286]) ).
tff(c_1965,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_663,c_663,c_611]) ).
tff(c_2054,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_609,c_1965]) ).
tff(c_1973,plain,
! [X_51,Z_52] : ( multiply(inverse(X_51),multiply(X_51,Z_52)) = Z_52 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_261]) ).
tff(c_2222,plain,
! [X_54,Z_55] : ( multiply(inverse(inverse(X_54)),Z_55) = multiply(X_54,Z_55) ),
inference(superposition,[status(thm),theory(equality)],[c_272,c_1973]) ).
tff(c_2030,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1973]) ).
tff(c_2229,plain,
! [X_54] : ( multiply(X_54,identity) = X_54 ),
inference(superposition,[status(thm),theory(equality)],[c_2222,c_2030]) ).
tff(c_2243,plain,
! [X_54] : ( multiply(X_54,inverse(X_54)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_2222,c_4]) ).
tff(c_744,plain,
! [X_25,Z_26] : ( multiply(inverse(X_25),multiply(X_25,Z_26)) = Z_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_261]) ).
tff(c_958,plain,
! [X_29,Z_30] : ( multiply(inverse(inverse(X_29)),Z_30) = multiply(X_29,Z_30) ),
inference(superposition,[status(thm),theory(equality)],[c_744,c_272]) ).
tff(c_771,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_744]) ).
tff(c_965,plain,
! [X_29] : ( multiply(X_29,identity) = X_29 ),
inference(superposition,[status(thm),theory(equality)],[c_958,c_771]) ).
tff(c_683,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_663,c_663,c_611]) ).
tff(c_691,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_609,c_683]) ).
tff(c_584,plain,
! [X5_6,X4_13,X3_8,X8_12,X1_10] :
( ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_674,plain,
! [X5_6,X4_13,X3_8,X8_12,X1_10] :
( ( multiply(X4_13,sk_c10) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_601,c_601,c_601,c_601,c_601,c_601,c_584]) ).
tff(c_675,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_674]) ).
tff(c_1954,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_965,c_691,c_691,c_2,c_691,c_691,c_675]) ).
tff(c_610,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_601,c_585]) ).
tff(c_705,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_691,c_691,c_610]) ).
tff(c_1956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1954,c_705]) ).
tff(c_1957,plain,
! [X1_10,X8_12,X5_6,X4_13] :
( ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_674]) ).
tff(c_9983,plain,
! [X1_10,X8_12,X5_6,X4_13] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 )
| ( inverse(X5_6) != identity )
| ( identity != X4_13 )
| ( inverse(X4_13) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2054,c_2229,c_2054,c_2054,c_2243,c_2054,c_2229,c_2054,c_2054,c_2229,c_2054,c_2054,c_2,c_2054,c_2054,c_2054,c_2229,c_2054,c_2054,c_1957]) ).
tff(c_9985,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9983]) ).
tff(c_2072,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2054,c_2054,c_610]) ).
tff(c_9987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9985,c_2072]) ).
tff(c_9988,plain,
! [X5_6,X1_10,X8_12] :
( ( inverse(X5_6) != identity )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 ) ),
inference(splitRight,[status(thm)],[c_9983]) ).
tff(c_11669,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9988]) ).
tff(c_11671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11669,c_2072]) ).
tff(c_11672,plain,
! [X1_10,X5_6] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X5_6) != identity ) ),
inference(splitRight,[status(thm)],[c_9988]) ).
tff(c_11673,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(splitLeft,[status(thm)],[c_11672]) ).
tff(c_11675,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11673,c_2072]) ).
tff(c_11677,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_11672]) ).
tff(c_11679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11677,c_2072]) ).
tff(c_11680,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_11685,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11680,c_4]) ).
tff(c_11751,plain,
! [X_153,Y_154,Z_155] : ( multiply(multiply(X_153,Y_154),Z_155) = multiply(X_153,multiply(Y_154,Z_155)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11796,plain,
! [Z_155] : ( multiply(sk_c3,multiply(sk_c2,Z_155)) = multiply(identity,Z_155) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_11751]) ).
tff(c_11821,plain,
! [Z_156] : ( multiply(sk_c3,multiply(sk_c2,Z_156)) = Z_156 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11796]) ).
tff(c_11833,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_165,c_11821]) ).
tff(c_22,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_182,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_11802,plain,
! [Z_155] : ( multiply(sk_c10,multiply(sk_c1,Z_155)) = multiply(identity,Z_155) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_11751]) ).
tff(c_11968,plain,
! [Z_161] : ( multiply(sk_c10,multiply(sk_c1,Z_161)) = Z_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11802]) ).
tff(c_11980,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_182,c_11968]) ).
tff(c_12031,plain,
! [Z_163] : ( multiply(sk_c3,multiply(sk_c10,Z_163)) = multiply(sk_c9,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_174,c_11751]) ).
tff(c_12043,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c3,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_11980,c_12031]) ).
tff(c_12071,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11685,c_11833,c_12043]) ).
tff(c_12077,plain,
multiply(identity,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_12071,c_174]) ).
tff(c_12082,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12077]) ).
tff(c_11681,plain,
multiply(sk_c4,sk_c10) != sk_c5,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_11693,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_11681,c_90]) ).
tff(c_11697,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11693,c_4]) ).
tff(c_11781,plain,
! [Z_155] : ( multiply(sk_c9,multiply(sk_c10,Z_155)) = multiply(identity,Z_155) ),
inference(superposition,[status(thm),theory(equality)],[c_11685,c_11751]) ).
tff(c_11991,plain,
! [Z_162] : ( multiply(sk_c9,multiply(sk_c10,Z_162)) = Z_162 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11781]) ).
tff(c_12018,plain,
multiply(sk_c9,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11697,c_11991]) ).
tff(c_12182,plain,
multiply(sk_c10,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12082,c_12018]) ).
tff(c_12027,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_11991]) ).
tff(c_12191,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12182,c_12082,c_12027]) ).
tff(c_12192,plain,
multiply(sk_c10,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12191,c_12182]) ).
tff(c_12092,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_12082,c_11680]) ).
tff(c_12109,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12092,c_4]) ).
tff(c_12021,plain,
multiply(sk_c9,sk_c9) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_164,c_11991]) ).
tff(c_12175,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12109,c_12082,c_12082,c_12021]) ).
tff(c_12094,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_12082,c_164]) ).
tff(c_12264,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_12175,c_12094]) ).
tff(c_12277,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12192,c_12264]) ).
tff(c_12317,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12277,c_121]) ).
tff(c_12367,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12317,c_4]) ).
tff(c_12315,plain,
inverse(sk_c4) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12277,c_133]) ).
tff(c_82,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_11709,plain,
inverse(sk_c6) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_11681,c_82]) ).
tff(c_11713,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11709,c_4]) ).
tff(c_12015,plain,
multiply(sk_c9,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11713,c_11991]) ).
tff(c_12141,plain,
multiply(sk_c10,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12082,c_12015]) ).
tff(c_12024,plain,
multiply(sk_c9,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_137,c_11991]) ).
tff(c_12165,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_12141,c_12082,c_12024]) ).
tff(c_84,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_11743,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_11681,c_84]) ).
tff(c_12089,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_12082,c_11743]) ).
tff(c_12427,plain,
multiply(sk_c4,sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12277,c_12277,c_12165,c_12089]) ).
tff(c_11805,plain,
! [X_2,Z_155] : ( multiply(inverse(X_2),multiply(X_2,Z_155)) = multiply(identity,Z_155) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11751]) ).
tff(c_11819,plain,
! [X_2,Z_155] : ( multiply(inverse(X_2),multiply(X_2,Z_155)) = Z_155 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11805]) ).
tff(c_12431,plain,
multiply(inverse(sk_c4),sk_c1) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_12427,c_11819]) ).
tff(c_12437,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12367,c_12315,c_12431]) ).
tff(c_12446,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12437,c_12277]) ).
tff(c_12166,plain,
multiply(sk_c10,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_12165,c_12141]) ).
tff(c_12410,plain,
multiply(sk_c1,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_12277,c_12166]) ).
tff(c_12440,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_12437,c_12410]) ).
tff(c_12448,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12440]) ).
tff(c_12177,plain,
multiply(sk_c4,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12175,c_11681]) ).
tff(c_12514,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12446,c_2,c_12448,c_12177]) ).
tff(c_12516,plain,
multiply(sk_c1,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_20,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_12558,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_12516,c_20]) ).
tff(c_12562,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12558,c_4]) ).
tff(c_13069,plain,
! [X_177,Y_178,Z_179] : ( multiply(multiply(X_177,Y_178),Z_179) = multiply(X_177,multiply(Y_178,Z_179)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13093,plain,
! [Z_179] : ( multiply(sk_c9,multiply(sk_c10,Z_179)) = multiply(identity,Z_179) ),
inference(superposition,[status(thm),theory(equality)],[c_12562,c_13069]) ).
tff(c_13304,plain,
! [Z_189] : ( multiply(sk_c9,multiply(sk_c10,Z_189)) = Z_189 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13093]) ).
tff(c_13346,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_13304]) ).
tff(c_12515,plain,
inverse(sk_c6) = sk_c10,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_12520,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12515,c_4]) ).
tff(c_13337,plain,
multiply(sk_c9,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12520,c_13304]) ).
tff(c_13384,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13346,c_13337]) ).
tff(c_12581,plain,
multiply(sk_c4,sk_c10) = sk_c5,
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_12605,plain,
! [X_168,Y_169,Z_170] : ( multiply(multiply(X_168,Y_169),Z_170) = multiply(X_168,multiply(Y_169,Z_170)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12653,plain,
! [Z_170] : ( multiply(sk_c10,multiply(sk_c4,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_12605]) ).
tff(c_12698,plain,
! [Z_172] : ( multiply(sk_c10,multiply(sk_c4,Z_172)) = Z_172 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12653]) ).
tff(c_12710,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_12581,c_12698]) ).
tff(c_12714,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_12710,c_164]) ).
tff(c_12726,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_12714,c_12558]) ).
tff(c_12742,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12726,c_4]) ).
tff(c_12728,plain,
multiply(sk_c3,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_12714,c_174]) ).
tff(c_12729,plain,
multiply(sk_c2,sk_c3) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_12714,c_165]) ).
tff(c_12650,plain,
! [Z_170] : ( multiply(sk_c3,multiply(sk_c2,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_12605]) ).
tff(c_12670,plain,
! [Z_170] : ( multiply(sk_c3,multiply(sk_c2,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12650]) ).
tff(c_12765,plain,
multiply(sk_c3,sk_c10) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_12729,c_12670]) ).
tff(c_12771,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_12728,c_12765]) ).
tff(c_12774,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_12771,c_12728]) ).
tff(c_12778,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12742,c_12774]) ).
tff(c_12798,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12778,c_121]) ).
tff(c_12933,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12798,c_4]) ).
tff(c_12659,plain,
! [X_2,Z_170] : ( multiply(inverse(X_2),multiply(X_2,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12605]) ).
tff(c_12673,plain,
! [X_2,Z_170] : ( multiply(inverse(X_2),multiply(X_2,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12659]) ).
tff(c_12950,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_12933,c_12673]) ).
tff(c_12962,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12950]) ).
tff(c_12727,plain,
multiply(sk_c1,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_12714,c_12516]) ).
tff(c_13044,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12962,c_12778,c_12778,c_12727]) ).
tff(c_13045,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_13425,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_13384,c_13045]) ).
tff(c_13430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12516,c_13425]) ).
tff(c_13432,plain,
multiply(sk_c3,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_62,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_26166,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_13432,c_62]) ).
tff(c_25439,plain,
multiply(sk_c4,sk_c10) = sk_c5,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_25495,plain,
! [X_330,Y_331,Z_332] : ( multiply(multiply(X_330,Y_331),Z_332) = multiply(X_330,multiply(Y_331,Z_332)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_25540,plain,
! [Z_332] : ( multiply(sk_c10,multiply(sk_c4,Z_332)) = multiply(identity,Z_332) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_25495]) ).
tff(c_25585,plain,
! [Z_334] : ( multiply(sk_c10,multiply(sk_c4,Z_334)) = Z_334 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25540]) ).
tff(c_25597,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25439,c_25585]) ).
tff(c_25699,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25597,c_164]) ).
tff(c_25537,plain,
! [Z_332] : ( multiply(sk_c3,multiply(sk_c2,Z_332)) = multiply(identity,Z_332) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_25495]) ).
tff(c_25562,plain,
! [Z_333] : ( multiply(sk_c3,multiply(sk_c2,Z_333)) = Z_333 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25537]) ).
tff(c_25574,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_165,c_25562]) ).
tff(c_25707,plain,
multiply(sk_c3,sk_c10) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_25699,c_25574]) ).
tff(c_25546,plain,
! [X_2,Z_332] : ( multiply(inverse(X_2),multiply(X_2,Z_332)) = multiply(identity,Z_332) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25495]) ).
tff(c_25770,plain,
! [X_336,Z_337] : ( multiply(inverse(X_336),multiply(X_336,Z_337)) = Z_337 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25546]) ).
tff(c_25797,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25707,c_25770]) ).
tff(c_25864,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25797]) ).
tff(c_64,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_24524,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_13432,c_64]) ).
tff(c_13431,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_13436,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13431,c_4]) ).
tff(c_24554,plain,
! [X_312,Y_313,Z_314] : ( multiply(multiply(X_312,Y_313),Z_314) = multiply(X_312,multiply(Y_313,Z_314)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24587,plain,
! [Z_314] : ( multiply(sk_c10,multiply(sk_c7,Z_314)) = multiply(identity,Z_314) ),
inference(superposition,[status(thm),theory(equality)],[c_13436,c_24554]) ).
tff(c_24808,plain,
! [Z_323] : ( multiply(sk_c10,multiply(sk_c7,Z_323)) = Z_323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24587]) ).
tff(c_24820,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_24524,c_24808]) ).
tff(c_24533,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_13432,c_62]) ).
tff(c_24824,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24820,c_24533]) ).
tff(c_13521,plain,
! [X_191,Y_192,Z_193] : ( multiply(multiply(X_191,Y_192),Z_193) = multiply(X_191,multiply(Y_192,Z_193)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13575,plain,
! [X_2,Z_193] : ( multiply(inverse(X_2),multiply(X_2,Z_193)) = multiply(identity,Z_193) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13521]) ).
tff(c_16728,plain,
! [X_236,Z_237] : ( multiply(inverse(X_236),multiply(X_236,Z_237)) = Z_237 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13575]) ).
tff(c_13589,plain,
! [X_2,Z_193] : ( multiply(inverse(X_2),multiply(X_2,Z_193)) = Z_193 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13575]) ).
tff(c_17221,plain,
! [X_241,Z_242] : ( multiply(inverse(inverse(X_241)),Z_242) = multiply(X_241,Z_242) ),
inference(superposition,[status(thm),theory(equality)],[c_16728,c_13589]) ).
tff(c_17245,plain,
! [X_241] : ( multiply(X_241,inverse(X_241)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_17221,c_4]) ).
tff(c_13470,plain,
multiply(sk_c4,sk_c10) = sk_c5,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_13569,plain,
! [Z_193] : ( multiply(sk_c10,multiply(sk_c4,Z_193)) = multiply(identity,Z_193) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_13521]) ).
tff(c_13760,plain,
! [Z_198] : ( multiply(sk_c10,multiply(sk_c4,Z_198)) = Z_198 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13569]) ).
tff(c_13772,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_13470,c_13760]) ).
tff(c_13776,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_13772,c_164]) ).
tff(c_13566,plain,
! [Z_193] : ( multiply(sk_c3,multiply(sk_c2,Z_193)) = multiply(identity,Z_193) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_13521]) ).
tff(c_13591,plain,
! [Z_194] : ( multiply(sk_c3,multiply(sk_c2,Z_194)) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13566]) ).
tff(c_13603,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_165,c_13591]) ).
tff(c_13822,plain,
multiply(sk_c3,sk_c10) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_13776,c_13603]) ).
tff(c_16764,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_13822,c_16728]) ).
tff(c_16840,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16764]) ).
tff(c_16827,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16728]) ).
tff(c_17231,plain,
! [X_241] : ( multiply(X_241,identity) = X_241 ),
inference(superposition,[status(thm),theory(equality)],[c_17221,c_16827]) ).
tff(c_13933,plain,
! [X_201,Z_202] : ( multiply(inverse(X_201),multiply(X_201,Z_202)) = Z_202 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13575]) ).
tff(c_14426,plain,
! [X_206,Z_207] : ( multiply(inverse(inverse(X_206)),Z_207) = multiply(X_206,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_13589,c_13933]) ).
tff(c_14032,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13933]) ).
tff(c_14436,plain,
! [X_206] : ( multiply(X_206,identity) = X_206 ),
inference(superposition,[status(thm),theory(equality)],[c_14426,c_14032]) ).
tff(c_13969,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_13822,c_13933]) ).
tff(c_14045,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13969]) ).
tff(c_13617,plain,
! [Z_195] : ( multiply(sk_c10,multiply(sk_c4,Z_195)) = Z_195 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13569]) ).
tff(c_13629,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_13470,c_13617]) ).
tff(c_13633,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_13629,c_164]) ).
tff(c_13449,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_13684,plain,
multiply(sk_c1,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_13633,c_13449]) ).
tff(c_56,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_13478,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_13432,c_56]) ).
tff(c_13608,plain,
! [X5_6,X4_13,X3_8,X8_12,X1_10] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13478,c_104]) ).
tff(c_13609,plain,
! [X4_13] :
( ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_13608]) ).
tff(c_13723,plain,
! [X4_197] :
( ( multiply(X4_197,sk_c10) != sk_c10 )
| ( inverse(X4_197) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13633,c_13609]) ).
tff(c_13729,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_13684,c_13723]) ).
tff(c_13751,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121,c_13729]) ).
tff(c_13752,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_13608]) ).
tff(c_13865,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13776,c_13776,c_13776,c_13776,c_13776,c_13752]) ).
tff(c_13866,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_13865]) ).
tff(c_16658,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14436,c_14045,c_14045,c_2,c_14045,c_14045,c_13866]) ).
tff(c_13826,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_13776,c_13478]) ).
tff(c_14079,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14045,c_14045,c_13826]) ).
tff(c_16660,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16658,c_14079]) ).
tff(c_16661,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_13865]) ).
tff(c_24004,plain,
! [X1_10,X8_12,X5_6] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17245,c_16840,c_17231,c_16840,c_16840,c_17231,c_16840,c_16840,c_2,c_16840,c_16840,c_16840,c_17231,c_16840,c_16840,c_16661]) ).
tff(c_24005,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(splitLeft,[status(thm)],[c_24004]) ).
tff(c_16863,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16840,c_16840,c_13826]) ).
tff(c_24007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24005,c_16863]) ).
tff(c_24008,plain,
! [X1_10,X8_12] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 ) ),
inference(splitRight,[status(thm)],[c_24004]) ).
tff(c_24010,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_24008]) ).
tff(c_24012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24010,c_16863]) ).
tff(c_24498,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_24008]) ).
tff(c_24500,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24498,c_16863]) ).
tff(c_24501,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_24952,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24824,c_24501]) ).
tff(c_24964,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24952,c_4]) ).
tff(c_24953,plain,
multiply(sk_c1,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24824,c_13449]) ).
tff(c_24602,plain,
! [Z_314] : ( multiply(sk_c10,multiply(sk_c1,Z_314)) = multiply(identity,Z_314) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_24554]) ).
tff(c_24618,plain,
! [Z_314] : ( multiply(sk_c10,multiply(sk_c1,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24602]) ).
tff(c_25027,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_24953,c_24618]) ).
tff(c_25033,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24964,c_25027]) ).
tff(c_25055,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25033,c_137]) ).
tff(c_24605,plain,
! [X_2,Z_314] : ( multiply(inverse(X_2),multiply(X_2,Z_314)) = multiply(identity,Z_314) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24554]) ).
tff(c_24619,plain,
! [X_2,Z_314] : ( multiply(inverse(X_2),multiply(X_2,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24605]) ).
tff(c_25299,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_25055,c_24619]) ).
tff(c_25311,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25299]) ).
tff(c_24502,plain,
multiply(sk_c4,sk_c10) != sk_c5,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_25050,plain,
multiply(sk_c4,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_25033,c_24502]) ).
tff(c_25324,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25311,c_25050]) ).
tff(c_24956,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24824,c_164]) ).
tff(c_25039,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25033,c_25033,c_24956]) ).
tff(c_25405,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_25039,c_24619]) ).
tff(c_25417,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25405]) ).
tff(c_25419,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25324,c_25417]) ).
tff(c_25421,plain,
multiply(sk_c1,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_25447,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25421,c_20]) ).
tff(c_25711,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25699,c_25447]) ).
tff(c_25848,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_25770]) ).
tff(c_25875,plain,
multiply(sk_c10,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_25711,c_25848]) ).
tff(c_26041,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25864,c_25875]) ).
tff(c_25712,plain,
multiply(sk_c1,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25699,c_25421]) ).
tff(c_25886,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_25864,c_25864,c_25712]) ).
tff(c_26124,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26041,c_25886]) ).
tff(c_26125,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_26130,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26125,c_4]) ).
tff(c_26183,plain,
! [X_340,Y_341,Z_342] : ( multiply(multiply(X_340,Y_341),Z_342) = multiply(X_340,multiply(Y_341,Z_342)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26207,plain,
! [Z_342] : ( multiply(sk_c9,multiply(sk_c10,Z_342)) = multiply(identity,Z_342) ),
inference(superposition,[status(thm),theory(equality)],[c_26130,c_26183]) ).
tff(c_26933,plain,
! [Z_361] : ( multiply(sk_c9,multiply(sk_c10,Z_361)) = Z_361 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26207]) ).
tff(c_26957,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_26166,c_26933]) ).
tff(c_26222,plain,
! [Z_342] : ( multiply(sk_c3,multiply(sk_c2,Z_342)) = multiply(identity,Z_342) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_26183]) ).
tff(c_26416,plain,
! [Z_351] : ( multiply(sk_c3,multiply(sk_c2,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26222]) ).
tff(c_26428,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_165,c_26416]) ).
tff(c_26216,plain,
! [Z_342] : ( multiply(sk_c2,multiply(sk_c3,Z_342)) = multiply(sk_c9,Z_342) ),
inference(superposition,[status(thm),theory(equality)],[c_165,c_26183]) ).
tff(c_26457,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c2,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_26428,c_26216]) ).
tff(c_26463,plain,
multiply(sk_c9,sk_c9) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_165,c_26457]) ).
tff(c_26976,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_26957,c_26463]) ).
tff(c_26972,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_26933]) ).
tff(c_27009,plain,
multiply(sk_c8,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_26976,c_26972]) ).
tff(c_26963,plain,
multiply(sk_c9,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13436,c_26933]) ).
tff(c_27032,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27009,c_26976,c_26963]) ).
tff(c_26157,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_13432,c_64]) ).
tff(c_27033,plain,
multiply(sk_c1,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27032,c_26157]) ).
tff(c_26969,plain,
multiply(sk_c9,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_137,c_26933]) ).
tff(c_27020,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27009,c_26976,c_26969]) ).
tff(c_26126,plain,
multiply(sk_c4,sk_c10) != sk_c5,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_27022,plain,
multiply(sk_c1,sk_c10) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27020,c_26126]) ).
tff(c_27086,plain,
sk_c8 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27033,c_27022]) ).
tff(c_26966,plain,
multiply(sk_c9,sk_c9) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_164,c_26933]) ).
tff(c_27042,plain,
multiply(sk_c8,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_26976,c_26976,c_26966]) ).
tff(c_26993,plain,
inverse(sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_26976,c_26125]) ).
tff(c_26990,plain,
multiply(sk_c10,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_26976,c_26166]) ).
tff(c_26231,plain,
! [X_2,Z_342] : ( multiply(inverse(X_2),multiply(X_2,Z_342)) = multiply(identity,Z_342) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26183]) ).
tff(c_27087,plain,
! [X_362,Z_363] : ( multiply(inverse(X_362),multiply(X_362,Z_363)) = Z_363 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26231]) ).
tff(c_27108,plain,
multiply(inverse(sk_c10),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_26990,c_27087]) ).
tff(c_27152,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27042,c_26993,c_27108]) ).
tff(c_27154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27086,c_27152]) ).
tff(c_27155,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_30306,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30292,c_27155]) ).
tff(c_30314,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30306,c_4]) ).
tff(c_27156,plain,
multiply(sk_c2,sk_c3) != sk_c9,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_29243,plain,
inverse(sk_c6) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_27156,c_34]) ).
tff(c_36,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_30099,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_27156,c_36]) ).
tff(c_30302,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30292,c_30099]) ).
tff(c_30171,plain,
! [X_2,Z_423] : ( multiply(inverse(X_2),multiply(X_2,Z_423)) = multiply(identity,Z_423) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30123]) ).
tff(c_30482,plain,
! [X_431,Z_432] : ( multiply(inverse(X_431),multiply(X_431,Z_432)) = Z_432 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30171]) ).
tff(c_30515,plain,
multiply(inverse(sk_c6),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_30302,c_30482]) ).
tff(c_30575,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30314,c_29243,c_30515]) ).
tff(c_29247,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29243,c_4]) ).
tff(c_27160,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27155,c_4]) ).
tff(c_30153,plain,
! [Z_423] : ( multiply(sk_c9,multiply(sk_c10,Z_423)) = multiply(identity,Z_423) ),
inference(superposition,[status(thm),theory(equality)],[c_27160,c_30123]) ).
tff(c_30181,plain,
! [Z_423] : ( multiply(sk_c9,multiply(sk_c10,Z_423)) = Z_423 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30153]) ).
tff(c_30388,plain,
! [Z_430] : ( multiply(sk_c10,multiply(sk_c10,Z_430)) = Z_430 ),
inference(demodulation,[status(thm),theory(equality)],[c_30292,c_30181]) ).
tff(c_30427,plain,
multiply(sk_c10,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29247,c_30388]) ).
tff(c_30587,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30575,c_30427]) ).
tff(c_30608,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30587]) ).
tff(c_30557,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_30482]) ).
tff(c_30585,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_30427,c_30306,c_30557]) ).
tff(c_30673,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30608,c_30585]) ).
tff(c_29307,plain,
! [X_406,Y_407,Z_408] : ( multiply(multiply(X_406,Y_407),Z_408) = multiply(X_406,multiply(Y_407,Z_408)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29352,plain,
! [Z_408] : ( multiply(sk_c10,multiply(sk_c4,Z_408)) = multiply(identity,Z_408) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_29307]) ).
tff(c_29387,plain,
! [Z_410] : ( multiply(sk_c10,multiply(sk_c4,Z_410)) = Z_410 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29352]) ).
tff(c_29399,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_29220,c_29387]) ).
tff(c_29403,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_29399,c_164]) ).
tff(c_29502,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_29403,c_27155]) ).
tff(c_29510,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29502,c_4]) ).
tff(c_26,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_29280,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_29497,plain,
multiply(sk_c1,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_29403,c_29280]) ).
tff(c_29355,plain,
! [Z_408] : ( multiply(sk_c10,multiply(sk_c1,Z_408)) = multiply(identity,Z_408) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_29307]) ).
tff(c_29546,plain,
! [Z_412] : ( multiply(sk_c10,multiply(sk_c1,Z_412)) = Z_412 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29355]) ).
tff(c_29558,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_29497,c_29546]) ).
tff(c_29562,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29510,c_29558]) ).
tff(c_29501,plain,
multiply(sk_c2,sk_c3) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_29403,c_27156]) ).
tff(c_29565,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29562,c_29501]) ).
tff(c_29358,plain,
! [X_2,Z_408] : ( multiply(inverse(X_2),multiply(X_2,Z_408)) = multiply(identity,Z_408) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29307]) ).
tff(c_29643,plain,
! [X_414,Z_415] : ( multiply(inverse(X_414),multiply(X_414,Z_415)) = Z_415 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29358]) ).
tff(c_29685,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_151,c_29643]) ).
tff(c_29372,plain,
! [X_2,Z_408] : ( multiply(inverse(X_2),multiply(X_2,Z_408)) = Z_408 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29358]) ).
tff(c_29945,plain,
! [X_418,Z_419] : ( multiply(inverse(inverse(X_418)),Z_419) = multiply(X_418,Z_419) ),
inference(superposition,[status(thm),theory(equality)],[c_29372,c_29643]) ).
tff(c_29691,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29643]) ).
tff(c_30000,plain,
! [X_420] : ( multiply(X_420,identity) = X_420 ),
inference(superposition,[status(thm),theory(equality)],[c_29945,c_29691]) ).
tff(c_30048,plain,
inverse(sk_c3) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_29685,c_30000]) ).
tff(c_30090,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30048,c_4]) ).
tff(c_30096,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29565,c_30090]) ).
tff(c_30098,plain,
multiply(sk_c1,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_30300,plain,
multiply(sk_c1,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30292,c_30098]) ).
tff(c_30594,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_30575,c_30575,c_30300]) ).
tff(c_30769,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30673,c_30594]) ).
tff(c_30771,plain,
multiply(sk_c4,sk_c10) != sk_c5,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_88,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( multiply(sk_c4,sk_c10) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_30838,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_30771,c_88]) ).
tff(c_28750,plain,
! [X_391,Y_392,Z_393] : ( multiply(multiply(X_391,Y_392),Z_393) = multiply(X_391,multiply(Y_392,Z_393)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28783,plain,
! [Z_393] : ( multiply(sk_c9,multiply(sk_c10,Z_393)) = multiply(identity,Z_393) ),
inference(superposition,[status(thm),theory(equality)],[c_27160,c_28750]) ).
tff(c_29014,plain,
! [Z_403] : ( multiply(sk_c9,multiply(sk_c10,Z_403)) = Z_403 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28783]) ).
tff(c_29056,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_29014]) ).
tff(c_29053,plain,
multiply(sk_c9,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_137,c_29014]) ).
tff(c_29096,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_29056,c_29053]) ).
tff(c_27177,plain,
multiply(sk_c4,sk_c10) = sk_c5,
inference(splitLeft,[status(thm)],[c_90]) ).
tff(c_27844,plain,
! [X_375,Y_376,Z_377] : ( multiply(multiply(X_375,Y_376),Z_377) = multiply(X_375,multiply(Y_376,Z_377)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_27889,plain,
! [Z_377] : ( multiply(sk_c10,multiply(sk_c4,Z_377)) = multiply(identity,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_27844]) ).
tff(c_27924,plain,
! [Z_379] : ( multiply(sk_c10,multiply(sk_c4,Z_379)) = Z_379 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27889]) ).
tff(c_27936,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_27177,c_27924]) ).
tff(c_27940,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_27936,c_164]) ).
tff(c_28139,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_27940,c_27155]) ).
tff(c_28147,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28139,c_4]) ).
tff(c_27254,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_27302,plain,
! [Z_366] : ( multiply(sk_c10,multiply(sk_c4,Z_366)) = multiply(identity,Z_366) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_27254]) ).
tff(c_27337,plain,
! [Z_368] : ( multiply(sk_c10,multiply(sk_c4,Z_368)) = Z_368 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27302]) ).
tff(c_27349,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_27177,c_27337]) ).
tff(c_27353,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_27349,c_164]) ).
tff(c_27462,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_27353,c_27155]) ).
tff(c_27470,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27462,c_4]) ).
tff(c_27195,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_27458,plain,
multiply(sk_c1,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_27353,c_27195]) ).
tff(c_27305,plain,
! [Z_366] : ( multiply(sk_c10,multiply(sk_c1,Z_366)) = multiply(identity,Z_366) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_27254]) ).
tff(c_27513,plain,
! [Z_370] : ( multiply(sk_c10,multiply(sk_c1,Z_370)) = Z_370 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27305]) ).
tff(c_27525,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_27458,c_27513]) ).
tff(c_27529,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27470,c_27525]) ).
tff(c_27537,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27529,c_27529,c_27462]) ).
tff(c_27538,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27529,c_27353]) ).
tff(c_27168,plain,
multiply(sk_c3,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_27293,plain,
! [Z_366] : ( multiply(sk_c3,multiply(sk_c10,Z_366)) = multiply(sk_c9,Z_366) ),
inference(superposition,[status(thm),theory(equality)],[c_27168,c_27254]) ).
tff(c_27561,plain,
! [Z_371] : ( multiply(sk_c3,Z_371) = Z_371 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27538,c_2,c_27529,c_27293]) ).
tff(c_27573,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_27561,c_151]) ).
tff(c_27588,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_27573,c_147]) ).
tff(c_27680,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27537,c_27588]) ).
tff(c_27461,plain,
multiply(sk_c2,sk_c3) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_27353,c_27156]) ).
tff(c_27533,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27529,c_27461]) ).
tff(c_27781,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27680,c_2,c_27573,c_27533]) ).
tff(c_27782,plain,
inverse(sk_c6) = sk_c10,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_27783,plain,
multiply(sk_c1,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_24,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_27827,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_27783,c_24]) ).
tff(c_28133,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_27940,c_27827]) ).
tff(c_27895,plain,
! [X_2,Z_377] : ( multiply(inverse(X_2),multiply(X_2,Z_377)) = multiply(identity,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27844]) ).
tff(c_28331,plain,
! [X_385,Z_386] : ( multiply(inverse(X_385),multiply(X_385,Z_386)) = Z_386 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27895]) ).
tff(c_28361,plain,
multiply(inverse(sk_c6),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_28133,c_28331]) ).
tff(c_28423,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28147,c_27782,c_28361]) ).
tff(c_38,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_27818,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_27156,c_38]) ).
tff(c_28134,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_27940,c_27818]) ).
tff(c_27877,plain,
! [Z_377] : ( multiply(sk_c9,multiply(sk_c10,Z_377)) = multiply(identity,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_27160,c_27844]) ).
tff(c_27905,plain,
! [Z_377] : ( multiply(sk_c9,multiply(sk_c10,Z_377)) = Z_377 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27877]) ).
tff(c_28197,plain,
! [Z_383] : ( multiply(sk_c10,multiply(sk_c10,Z_383)) = Z_383 ),
inference(demodulation,[status(thm),theory(equality)],[c_27940,c_27905]) ).
tff(c_28218,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_28134,c_28197]) ).
tff(c_28245,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28147,c_28218]) ).
tff(c_28247,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_28245,c_28134]) ).
tff(c_28406,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_28331]) ).
tff(c_28432,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_28247,c_28139,c_28406]) ).
tff(c_28527,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28423,c_28432]) ).
tff(c_28469,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_28432,c_121]) ).
tff(c_28594,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28527,c_28527,c_28469]) ).
tff(c_28465,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_28432,c_27940]) ).
tff(c_28553,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28527,c_28465]) ).
tff(c_27880,plain,
! [Z_377] : ( multiply(sk_c3,multiply(sk_c10,Z_377)) = multiply(sk_c9,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_27168,c_27844]) ).
tff(c_28616,plain,
! [Z_390] : ( multiply(sk_c3,Z_390) = Z_390 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28553,c_2,c_28423,c_27880]) ).
tff(c_28631,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_28616,c_151]) ).
tff(c_28646,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_28631,c_147]) ).
tff(c_28649,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28594,c_28646]) ).
tff(c_28138,plain,
multiply(sk_c2,sk_c3) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_27940,c_27156]) ).
tff(c_28461,plain,
multiply(sk_c2,sk_c3) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_28432,c_28138]) ).
tff(c_28669,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28649,c_2,c_28631,c_28527,c_28461]) ).
tff(c_28671,plain,
multiply(sk_c4,sk_c10) != sk_c5,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_29107,plain,
multiply(sk_c1,sk_c10) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29096,c_28671]) ).
tff(c_29050,plain,
multiply(sk_c9,sk_c9) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_164,c_29014]) ).
tff(c_86,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_28721,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_28671,c_86]) ).
tff(c_29041,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_28721,c_29014]) ).
tff(c_29160,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29050,c_29041]) ).
tff(c_28670,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_28675,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28670,c_4]) ).
tff(c_29047,plain,
multiply(sk_c9,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28675,c_29014]) ).
tff(c_29150,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_29056,c_29047]) ).
tff(c_28743,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_28671,c_88]) ).
tff(c_29151,plain,
multiply(sk_c1,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29150,c_28743]) ).
tff(c_29216,plain,
multiply(sk_c1,sk_c10) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29160,c_29151]) ).
tff(c_29217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29107,c_29216]) ).
tff(c_29218,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_30775,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29218,c_4]) ).
tff(c_30860,plain,
! [X_436,Y_437,Z_438] : ( multiply(multiply(X_436,Y_437),Z_438) = multiply(X_436,multiply(Y_437,Z_438)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30893,plain,
! [Z_438] : ( multiply(sk_c10,multiply(sk_c7,Z_438)) = multiply(identity,Z_438) ),
inference(superposition,[status(thm),theory(equality)],[c_30775,c_30860]) ).
tff(c_31149,plain,
! [Z_448] : ( multiply(sk_c10,multiply(sk_c7,Z_448)) = Z_448 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30893]) ).
tff(c_31161,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_30838,c_31149]) ).
tff(c_30827,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_27156,c_38]) ).
tff(c_31165,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_31161,c_30827]) ).
tff(c_31183,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_31165,c_27155]) ).
tff(c_31193,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31183,c_4]) ).
tff(c_30832,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_27156,c_36]) ).
tff(c_31177,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_31165,c_30832]) ).
tff(c_30797,plain,
inverse(sk_c6) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_27156,c_34]) ).
tff(c_30801,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30797,c_4]) ).
tff(c_30884,plain,
! [Z_438] : ( multiply(sk_c10,multiply(sk_c6,Z_438)) = multiply(identity,Z_438) ),
inference(superposition,[status(thm),theory(equality)],[c_30801,c_30860]) ).
tff(c_30916,plain,
! [Z_438] : ( multiply(sk_c10,multiply(sk_c6,Z_438)) = Z_438 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30884]) ).
tff(c_31215,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_31177,c_30916]) ).
tff(c_31221,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31193,c_31215]) ).
tff(c_31242,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31221,c_133]) ).
tff(c_31368,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31242,c_4]) ).
tff(c_30908,plain,
! [X_2,Z_438] : ( multiply(inverse(X_2),multiply(X_2,Z_438)) = multiply(identity,Z_438) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30860]) ).
tff(c_30922,plain,
! [X_2,Z_438] : ( multiply(inverse(X_2),multiply(X_2,Z_438)) = Z_438 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30908]) ).
tff(c_31482,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_31368,c_30922]) ).
tff(c_31494,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31482]) ).
tff(c_31239,plain,
multiply(sk_c4,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_31221,c_30771]) ).
tff(c_31541,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31494,c_31239]) ).
tff(c_31182,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_31165,c_164]) ).
tff(c_31224,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31221,c_31221,c_31182]) ).
tff(c_31545,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_31224,c_30922]) ).
tff(c_31557,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31545]) ).
tff(c_31559,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31541,c_31557]) ).
tff(c_31561,plain,
multiply(sk_c10,sk_c5) != sk_c9,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_68,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c5) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_31592,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31561,c_68]) ).
tff(c_31596,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31592,c_4]) ).
tff(c_31575,plain,
multiply(sk_c3,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_31574,plain,
multiply(sk_c2,sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_32664,plain,
! [Z_482] : ( multiply(sk_c2,multiply(sk_c3,Z_482)) = multiply(sk_c9,Z_482) ),
inference(superposition,[status(thm),theory(equality)],[c_31574,c_32353]) ).
tff(c_32685,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c2,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_31575,c_32664]) ).
tff(c_32693,plain,
multiply(sk_c2,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31596,c_32685]) ).
tff(c_32395,plain,
! [Z_472] : ( multiply(sk_c3,multiply(sk_c2,Z_472)) = multiply(identity,Z_472) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_32353]) ).
tff(c_32415,plain,
! [Z_472] : ( multiply(sk_c3,multiply(sk_c2,Z_472)) = Z_472 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32395]) ).
tff(c_32697,plain,
multiply(sk_c3,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_32693,c_32415]) ).
tff(c_32389,plain,
! [Z_472] : ( multiply(sk_c2,multiply(sk_c3,Z_472)) = multiply(sk_c9,Z_472) ),
inference(superposition,[status(thm),theory(equality)],[c_31574,c_32353]) ).
tff(c_32708,plain,
multiply(sk_c9,identity) = multiply(sk_c2,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_32697,c_32389]) ).
tff(c_32714,plain,
multiply(sk_c9,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32693,c_32708]) ).
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_32727,plain,
! [Z_5] : ( multiply(sk_c9,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_32714,c_6]) ).
tff(c_32735,plain,
! [Z_483] : ( multiply(sk_c9,Z_483) = Z_483 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_32727]) ).
tff(c_32744,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_32735,c_31596]) ).
tff(c_30,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_31585,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_32401,plain,
! [Z_472] : ( multiply(sk_c10,multiply(sk_c1,Z_472)) = multiply(identity,Z_472) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_32353]) ).
tff(c_32624,plain,
! [Z_480] : ( multiply(sk_c10,multiply(sk_c1,Z_480)) = Z_480 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32401]) ).
tff(c_32636,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_31585,c_32624]) ).
tff(c_32982,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_32744,c_32744,c_32636]) ).
tff(c_33002,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32982]) ).
tff(c_32894,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_32744,c_32744,c_32636]) ).
tff(c_32914,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32894]) ).
tff(c_32904,plain,
inverse(identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_32744,c_31592]) ).
tff(c_32968,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32914,c_32904]) ).
tff(c_32730,plain,
! [Z_5] : ( multiply(sk_c9,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_32727]) ).
tff(c_32386,plain,
! [Z_472] : ( multiply(sk_c3,multiply(sk_c10,Z_472)) = multiply(sk_c9,Z_472) ),
inference(superposition,[status(thm),theory(equality)],[c_31575,c_32353]) ).
tff(c_32786,plain,
! [Z_472] : ( multiply(sk_c3,Z_472) = Z_472 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32744,c_32730,c_32386]) ).
tff(c_32787,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32786,c_32697]) ).
tff(c_31560,plain,
inverse(sk_c6) = sk_c10,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_31605,plain,
multiply(sk_c4,sk_c10) = sk_c5,
inference(splitLeft,[status(thm)],[c_90]) ).
tff(c_31660,plain,
! [X_453,Y_454,Z_455] : ( multiply(multiply(X_453,Y_454),Z_455) = multiply(X_453,multiply(Y_454,Z_455)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31708,plain,
! [Z_455] : ( multiply(sk_c10,multiply(sk_c4,Z_455)) = multiply(identity,Z_455) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_31660]) ).
tff(c_31753,plain,
! [Z_457] : ( multiply(sk_c10,multiply(sk_c4,Z_457)) = Z_457 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31708]) ).
tff(c_31765,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_31605,c_31753]) ).
tff(c_31769,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_31765,c_31561]) ).
tff(c_31705,plain,
! [Z_455] : ( multiply(sk_c3,multiply(sk_c2,Z_455)) = multiply(identity,Z_455) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_31660]) ).
tff(c_31730,plain,
! [Z_456] : ( multiply(sk_c3,multiply(sk_c2,Z_456)) = Z_456 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31705]) ).
tff(c_31742,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_31574,c_31730]) ).
tff(c_31711,plain,
! [Z_455] : ( multiply(sk_c10,multiply(sk_c1,Z_455)) = multiply(identity,Z_455) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_31660]) ).
tff(c_31946,plain,
! [Z_463] : ( multiply(sk_c10,multiply(sk_c1,Z_463)) = Z_463 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31711]) ).
tff(c_31958,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_31585,c_31946]) ).
tff(c_32253,plain,
! [Z_469] : ( multiply(sk_c3,multiply(sk_c10,Z_469)) = multiply(sk_c9,Z_469) ),
inference(superposition,[status(thm),theory(equality)],[c_31575,c_31660]) ).
tff(c_32271,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c3,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_31958,c_32253]) ).
tff(c_32283,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31596,c_31742,c_32271]) ).
tff(c_32287,plain,
multiply(identity,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_32283,c_31575]) ).
tff(c_32292,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32287]) ).
tff(c_32294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31769,c_32292]) ).
tff(c_32296,plain,
multiply(sk_c4,sk_c10) != sk_c5,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_32343,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32296,c_84]) ).
tff(c_32457,plain,
! [X5_6,X4_13,X3_8,X8_12,X1_10] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31592,c_104]) ).
tff(c_32589,plain,
! [X4_479] :
( ( multiply(X4_479,sk_c9) != sk_c10 )
| ( inverse(X4_479) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_32457]) ).
tff(c_32606,plain,
inverse(sk_c6) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_32343,c_32589]) ).
tff(c_32622,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31560,c_32606]) ).
tff(c_32623,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_32457]) ).
tff(c_32754,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_32623]) ).
tff(c_32846,plain,
! [X3_485] :
( ( inverse(X3_485) != identity )
| ( multiply(X3_485,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32787,c_32744,c_2,c_32744,c_32744,c_32754]) ).
tff(c_32860,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_32846]) ).
tff(c_32788,plain,
! [Z_484] : ( multiply(sk_c3,Z_484) = Z_484 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32744,c_32730,c_32386]) ).
tff(c_32815,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_151,c_32788]) ).
tff(c_32420,plain,
! [Z_473] : ( multiply(sk_c3,multiply(sk_c2,Z_473)) = Z_473 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32395]) ).
tff(c_32432,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_31574,c_32420]) ).
tff(c_32822,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_32787,c_32432]) ).
tff(c_32825,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32786,c_32822]) ).
tff(c_32833,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32825,c_147]) ).
tff(c_32889,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32815,c_32833]) ).
tff(c_32890,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32860,c_32889]) ).
tff(c_32891,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_32623]) ).
tff(c_32892,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_32891]) ).
tff(c_32958,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),identity) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32914,c_32914,c_32744,c_32892]) ).
tff(c_32971,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_32968,c_32958]) ).
tff(c_32979,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32968,c_2,c_2,c_32971]) ).
tff(c_32980,plain,
! [X8_12,X1_10] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_32891]) ).
tff(c_33046,plain,
! [X8_12,X1_10] :
( ( inverse(X8_12) != identity )
| ( multiply(X8_12,identity) != identity )
| ( multiply(X1_10,identity) != identity )
| ( inverse(X1_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32744,c_33002,c_32744,c_33002,c_32744,c_2,c_32744,c_32744,c_32980]) ).
tff(c_33047,plain,
! [X1_10] :
( ( multiply(X1_10,identity) != identity )
| ( inverse(X1_10) != identity ) ),
inference(splitLeft,[status(thm)],[c_33046]) ).
tff(c_33745,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_33370,c_33047]) ).
tff(c_32992,plain,
inverse(identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_32744,c_31592]) ).
tff(c_33048,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33002,c_32992]) ).
tff(c_33747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33745,c_33048]) ).
tff(c_33748,plain,
! [X8_12] :
( ( inverse(X8_12) != identity )
| ( multiply(X8_12,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_33046]) ).
tff(c_34465,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34088,c_33748]) ).
tff(c_33841,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33002,c_32992]) ).
tff(c_34467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34465,c_33841]) ).
tff(c_34469,plain,
multiply(sk_c1,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_34486,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31561,c_68]) ).
tff(c_34490,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34486,c_4]) ).
tff(c_34935,plain,
! [X_532,Y_533,Z_534] : ( multiply(multiply(X_532,Y_533),Z_534) = multiply(X_532,multiply(Y_533,Z_534)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34959,plain,
! [Z_534] : ( multiply(sk_c9,multiply(sk_c10,Z_534)) = multiply(identity,Z_534) ),
inference(superposition,[status(thm),theory(equality)],[c_34490,c_34935]) ).
tff(c_35189,plain,
! [Z_543] : ( multiply(sk_c9,multiply(sk_c10,Z_543)) = Z_543 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34959]) ).
tff(c_35219,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_35189]) ).
tff(c_35216,plain,
multiply(sk_c9,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_137,c_35189]) ).
tff(c_35250,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_35219,c_35216]) ).
tff(c_31565,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31560,c_4]) ).
tff(c_35213,plain,
multiply(sk_c9,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_31565,c_35189]) ).
tff(c_35232,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_35216,c_35213]) ).
tff(c_34512,plain,
multiply(sk_c4,sk_c10) = sk_c5,
inference(splitLeft,[status(thm)],[c_86]) ).
tff(c_34546,plain,
! [X_519,Y_520,Z_521] : ( multiply(multiply(X_519,Y_520),Z_521) = multiply(X_519,multiply(Y_520,Z_521)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34591,plain,
! [Z_521] : ( multiply(sk_c10,multiply(sk_c4,Z_521)) = multiply(identity,Z_521) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_34546]) ).
tff(c_34703,plain,
! [Z_527] : ( multiply(sk_c10,multiply(sk_c4,Z_527)) = Z_527 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34591]) ).
tff(c_34715,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34512,c_34703]) ).
tff(c_34719,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34715,c_31561]) ).
tff(c_34588,plain,
! [Z_521] : ( multiply(sk_c3,multiply(sk_c2,Z_521)) = multiply(identity,Z_521) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_34546]) ).
tff(c_34775,plain,
! [Z_529] : ( multiply(sk_c3,multiply(sk_c2,Z_529)) = Z_529 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34588]) ).
tff(c_34787,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_31574,c_34775]) ).
tff(c_34529,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34469,c_24]) ).
tff(c_34585,plain,
! [Z_521] : ( multiply(sk_c10,multiply(sk_c6,Z_521)) = multiply(identity,Z_521) ),
inference(superposition,[status(thm),theory(equality)],[c_31565,c_34546]) ).
tff(c_34815,plain,
! [Z_530] : ( multiply(sk_c10,multiply(sk_c6,Z_530)) = Z_530 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34585]) ).
tff(c_34830,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34529,c_34815]) ).
tff(c_34844,plain,
! [Z_531] : ( multiply(sk_c3,multiply(sk_c10,Z_531)) = multiply(sk_c9,Z_531) ),
inference(superposition,[status(thm),theory(equality)],[c_31575,c_34546]) ).
tff(c_34856,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c3,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_34830,c_34844]) ).
tff(c_34887,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34787,c_34490,c_34856]) ).
tff(c_34893,plain,
multiply(identity,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_34887,c_31575]) ).
tff(c_34898,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34893]) ).
tff(c_34900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34719,c_34898]) ).
tff(c_34902,plain,
multiply(sk_c4,sk_c10) != sk_c5,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_34916,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34902,c_84]) ).
tff(c_35241,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35232,c_34916]) ).
tff(c_35332,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35250,c_35241]) ).
tff(c_35333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34469,c_35332]) ).
tff(c_35335,plain,
multiply(sk_c3,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_36010,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35335,c_62]) ).
tff(c_35356,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31561,c_68]) ).
tff(c_35360,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35356,c_4]) ).
tff(c_36055,plain,
! [Z_562] : ( multiply(sk_c9,multiply(sk_c10,Z_562)) = multiply(identity,Z_562) ),
inference(superposition,[status(thm),theory(equality)],[c_35360,c_36031]) ).
tff(c_36591,plain,
! [Z_578] : ( multiply(sk_c9,multiply(sk_c10,Z_578)) = Z_578 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36055]) ).
tff(c_36615,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36010,c_36591]) ).
tff(c_36067,plain,
! [Z_562] : ( multiply(sk_c3,multiply(sk_c2,Z_562)) = multiply(identity,Z_562) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_36031]) ).
tff(c_36092,plain,
! [Z_563] : ( multiply(sk_c3,multiply(sk_c2,Z_563)) = Z_563 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36067]) ).
tff(c_36104,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_31574,c_36092]) ).
tff(c_36550,plain,
! [Z_577] : ( multiply(sk_c2,multiply(sk_c3,Z_577)) = multiply(sk_c9,Z_577) ),
inference(superposition,[status(thm),theory(equality)],[c_31574,c_36031]) ).
tff(c_36565,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c2,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_36104,c_36550]) ).
tff(c_36575,plain,
multiply(sk_c9,sk_c9) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_31574,c_36565]) ).
tff(c_37211,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36615,c_36575]) ).
tff(c_37219,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37211,c_37211,c_36615]) ).
tff(c_38397,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37219,c_36090]) ).
tff(c_38403,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38397]) ).
tff(c_37229,plain,
inverse(sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37211,c_35356]) ).
tff(c_35334,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_36004,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_35335,c_64]) ).
tff(c_38315,plain,
multiply(inverse(sk_c7),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36004,c_38279]) ).
tff(c_38345,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35334,c_38315]) ).
tff(c_38363,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38345,c_36090]) ).
tff(c_38369,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37229,c_38363]) ).
tff(c_38524,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38403,c_2,c_38403,c_38369]) ).
tff(c_37226,plain,
multiply(sk_c3,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_37211,c_36104]) ).
tff(c_37314,plain,
! [X_587,Z_588] : ( multiply(inverse(X_587),multiply(X_587,Z_588)) = Z_588 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36076]) ).
tff(c_37335,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37226,c_37314]) ).
tff(c_37381,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37335]) ).
tff(c_35394,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35335,c_62]) ).
tff(c_35417,plain,
! [X_545,Y_546,Z_547] : ( multiply(multiply(X_545,Y_546),Z_547) = multiply(X_545,multiply(Y_546,Z_547)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35444,plain,
! [Z_547] : ( multiply(sk_c9,multiply(sk_c10,Z_547)) = multiply(identity,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_35360,c_35417]) ).
tff(c_35653,plain,
! [Z_555] : ( multiply(sk_c9,multiply(sk_c10,Z_555)) = Z_555 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35444]) ).
tff(c_35674,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35394,c_35653]) ).
tff(c_35456,plain,
! [Z_547] : ( multiply(sk_c3,multiply(sk_c2,Z_547)) = multiply(identity,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_35417]) ).
tff(c_35481,plain,
! [Z_548] : ( multiply(sk_c3,multiply(sk_c2,Z_548)) = Z_548 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35456]) ).
tff(c_35493,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_31574,c_35481]) ).
tff(c_35612,plain,
! [Z_554] : ( multiply(sk_c2,multiply(sk_c3,Z_554)) = multiply(sk_c9,Z_554) ),
inference(superposition,[status(thm),theory(equality)],[c_31574,c_35417]) ).
tff(c_35627,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c2,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_35493,c_35612]) ).
tff(c_35637,plain,
multiply(sk_c9,sk_c9) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_31574,c_35627]) ).
tff(c_35797,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35674,c_35637]) ).
tff(c_35383,plain,
multiply(sk_c4,sk_c10) = sk_c5,
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_35459,plain,
! [Z_547] : ( multiply(sk_c10,multiply(sk_c4,Z_547)) = multiply(identity,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_35417]) ).
tff(c_35504,plain,
! [Z_549] : ( multiply(sk_c10,multiply(sk_c4,Z_549)) = Z_549 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35459]) ).
tff(c_35516,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35383,c_35504]) ).
tff(c_35591,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35516,c_31561]) ).
tff(c_35811,plain,
sk_c8 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35797,c_35591]) ).
tff(c_35805,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35797,c_35797,c_35674]) ).
tff(c_35815,plain,
inverse(sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35797,c_35356]) ).
tff(c_35686,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_35653]) ).
tff(c_35683,plain,
multiply(sk_c9,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_137,c_35653]) ).
tff(c_35724,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_35686,c_35683]) ).
tff(c_35680,plain,
multiply(sk_c9,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_31565,c_35653]) ).
tff(c_35706,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_35683,c_35680]) ).
tff(c_60,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_35399,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_35335,c_60]) ).
tff(c_35715,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35706,c_35399]) ).
tff(c_35786,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35724,c_35715]) ).
tff(c_35462,plain,
! [Z_547] : ( multiply(sk_c10,multiply(sk_c1,Z_547)) = multiply(identity,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_35417]) ).
tff(c_35478,plain,
! [Z_547] : ( multiply(sk_c10,multiply(sk_c1,Z_547)) = Z_547 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35462]) ).
tff(c_35790,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_35786,c_35478]) ).
tff(c_35874,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35797,c_35790]) ).
tff(c_35465,plain,
! [X_2,Z_547] : ( multiply(inverse(X_2),multiply(X_2,Z_547)) = multiply(identity,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35417]) ).
tff(c_35919,plain,
! [X_558,Z_559] : ( multiply(inverse(X_558),multiply(X_558,Z_559)) = Z_559 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35465]) ).
tff(c_35946,plain,
multiply(inverse(sk_c10),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35874,c_35919]) ).
tff(c_35994,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35805,c_35815,c_35946]) ).
tff(c_35996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35811,c_35994]) ).
tff(c_35997,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_36064,plain,
! [Z_562] : ( multiply(sk_c10,multiply(sk_c6,Z_562)) = multiply(identity,Z_562) ),
inference(superposition,[status(thm),theory(equality)],[c_31565,c_36031]) ).
tff(c_36527,plain,
! [Z_576] : ( multiply(sk_c10,multiply(sk_c6,Z_576)) = Z_576 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36064]) ).
tff(c_36539,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_35997,c_36527]) ).
tff(c_36603,plain,
multiply(sk_c9,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36539,c_36591]) ).
tff(c_37306,plain,
multiply(sk_c8,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37211,c_37211,c_36603]) ).
tff(c_37388,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37381,c_37381,c_37306]) ).
tff(c_37396,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37388]) ).
tff(c_37572,plain,
! [X_591,Z_592] : ( multiply(inverse(inverse(X_591)),Z_592) = multiply(X_591,Z_592) ),
inference(superposition,[status(thm),theory(equality)],[c_36090,c_37314]) ).
tff(c_37374,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37314]) ).
tff(c_37579,plain,
! [X_591] : ( multiply(X_591,identity) = X_591 ),
inference(superposition,[status(thm),theory(equality)],[c_37572,c_37374]) ).
tff(c_36715,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36615,c_36575]) ).
tff(c_36723,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36715,c_36715,c_36615]) ).
tff(c_36838,plain,
! [X_581,Z_582] : ( multiply(inverse(X_581),multiply(X_581,Z_582)) = Z_582 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36076]) ).
tff(c_36862,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36723,c_36838]) ).
tff(c_36906,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36862]) ).
tff(c_36732,plain,
inverse(sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36715,c_35356]) ).
tff(c_36728,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36715,c_36539]) ).
tff(c_36856,plain,
multiply(inverse(sk_c10),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36728,c_36838]) ).
tff(c_36905,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36723,c_36732,c_36856]) ).
tff(c_36927,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36906,c_36905]) ).
tff(c_36144,plain,
! [Z_566] : ( multiply(sk_c9,multiply(sk_c10,Z_566)) = Z_566 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36055]) ).
tff(c_36174,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_36144]) ).
tff(c_36171,plain,
multiply(sk_c9,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_137,c_36144]) ).
tff(c_36230,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_36174,c_36171]) ).
tff(c_36168,plain,
multiply(sk_c9,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_31565,c_36144]) ).
tff(c_36212,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_36171,c_36168]) ).
tff(c_36221,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36212,c_35997]) ).
tff(c_36303,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36230,c_36221]) ).
tff(c_36116,plain,
! [X5_6,X4_13,X3_8,X8_12,X1_10] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35356,c_104]) ).
tff(c_36117,plain,
! [X4_13] :
( ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_36116]) ).
tff(c_36307,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36303,c_36117]) ).
tff(c_36319,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121,c_36307]) ).
tff(c_36320,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_36116]) ).
tff(c_36469,plain,
! [X3_574] :
( ( inverse(X3_574) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_574,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_36320]) ).
tff(c_36491,plain,
( ( inverse(sk_c7) != sk_c10 )
| ( multiply(sk_c10,sk_c8) != sk_c9 ) ),
inference(superposition,[status(thm),theory(equality)],[c_36004,c_36469]) ).
tff(c_36512,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36010,c_35334,c_36491]) ).
tff(c_36513,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_36320]) ).
tff(c_36648,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_36513]) ).
tff(c_36759,plain,
! [X5_580] :
( ( multiply(inverse(X5_580),sk_c10) != sk_c8 )
| ( multiply(X5_580,inverse(X5_580)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36715,c_36715,c_36648]) ).
tff(c_36763,plain,
( ( multiply(sk_c10,sk_c10) != sk_c8 )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_35334,c_36759]) ).
tff(c_36773,plain,
multiply(sk_c10,sk_c10) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36004,c_35334,c_36763]) ).
tff(c_37157,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36927,c_2,c_36927,c_36906,c_36773]) ).
tff(c_37158,plain,
! [X8_12,X1_10] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_36513]) ).
tff(c_37244,plain,
! [X8_12,X1_10] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c10 )
| ( inverse(X1_10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37211,c_37211,c_37158]) ).
tff(c_37245,plain,
! [X1_10] :
( ( multiply(X1_10,sk_c8) != sk_c10 )
| ( inverse(X1_10) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_37244]) ).
tff(c_38255,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37396,c_37579,c_37396,c_37381,c_37245]) ).
tff(c_36627,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_36591]) ).
tff(c_37221,plain,
multiply(sk_c8,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_37211,c_36627]) ).
tff(c_37391,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_37381,c_37221]) ).
tff(c_37397,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37391]) ).
tff(c_37405,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37396,c_121]) ).
tff(c_37469,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37397,c_37405]) ).
tff(c_38257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38255,c_37469]) ).
tff(c_38258,plain,
! [X8_12] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_37244]) ).
tff(c_42491,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_38664,c_38524,c_2,c_38524,c_38403,c_38524,c_38258]) ).
tff(c_38407,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_38403,c_37221]) ).
tff(c_38413,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38407]) ).
tff(c_38424,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_38413,c_121]) ).
tff(c_38526,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38524,c_38424]) ).
tff(c_42493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42491,c_38526]) ).
tff(c_42495,plain,
multiply(sk_c2,sk_c3) != sk_c9,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_40,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_44046,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_42495,c_40]) ).
tff(c_42550,plain,
multiply(sk_c4,sk_c10) = sk_c5,
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_42583,plain,
! [X_653,Y_654,Z_655] : ( multiply(multiply(X_653,Y_654),Z_655) = multiply(X_653,multiply(Y_654,Z_655)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_42628,plain,
! [Z_655] : ( multiply(sk_c10,multiply(sk_c4,Z_655)) = multiply(identity,Z_655) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_42583]) ).
tff(c_42663,plain,
! [Z_657] : ( multiply(sk_c10,multiply(sk_c4,Z_657)) = Z_657 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42628]) ).
tff(c_42675,plain,
multiply(sk_c10,sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_42550,c_42663]) ).
tff(c_42778,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_42675,c_31561]) ).
tff(c_42571,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_42495,c_40]) ).
tff(c_78,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c10,sk_c5) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_42520,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_31561,c_78]) ).
tff(c_42524,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42520,c_4]) ).
tff(c_42610,plain,
! [Z_655] : ( multiply(sk_c10,multiply(sk_c7,Z_655)) = multiply(identity,Z_655) ),
inference(superposition,[status(thm),theory(equality)],[c_42524,c_42583]) ).
tff(c_42845,plain,
! [Z_664] : ( multiply(sk_c10,multiply(sk_c7,Z_664)) = Z_664 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42610]) ).
tff(c_42857,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_42571,c_42845]) ).
tff(c_74,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c10,sk_c5) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_42556,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31561,c_74]) ).
tff(c_42861,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_42857,c_42556]) ).
tff(c_42863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42778,c_42861]) ).
tff(c_42864,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_42897,plain,
! [X_665,Y_666,Z_667] : ( multiply(multiply(X_665,Y_666),Z_667) = multiply(X_665,multiply(Y_666,Z_667)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_42921,plain,
! [Z_667] : ( multiply(sk_c10,multiply(sk_c7,Z_667)) = multiply(identity,Z_667) ),
inference(superposition,[status(thm),theory(equality)],[c_42524,c_42897]) ).
tff(c_43010,plain,
! [Z_671] : ( multiply(sk_c10,multiply(sk_c7,Z_671)) = Z_671 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42921]) ).
tff(c_43022,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_42864,c_43010]) ).
tff(c_42876,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31561,c_74]) ).
tff(c_43111,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_43022,c_42876]) ).
tff(c_42494,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_43125,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_43111,c_42494]) ).
tff(c_43134,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43125,c_4]) ).
tff(c_42515,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_43121,plain,
multiply(sk_c1,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_43111,c_42515]) ).
tff(c_42942,plain,
! [Z_667] : ( multiply(sk_c10,multiply(sk_c1,Z_667)) = multiply(identity,Z_667) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_42897]) ).
tff(c_42958,plain,
! [Z_667] : ( multiply(sk_c10,multiply(sk_c1,Z_667)) = Z_667 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42942]) ).
tff(c_43166,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_43121,c_42958]) ).
tff(c_43172,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43134,c_43166]) ).
tff(c_43180,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43172,c_43172,c_43125]) ).
tff(c_43181,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43172,c_43111]) ).
tff(c_42509,plain,
multiply(sk_c3,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_42927,plain,
! [Z_667] : ( multiply(sk_c3,multiply(sk_c10,Z_667)) = multiply(sk_c9,Z_667) ),
inference(superposition,[status(thm),theory(equality)],[c_42509,c_42897]) ).
tff(c_43384,plain,
! [Z_677] : ( multiply(sk_c3,Z_677) = Z_677 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43181,c_2,c_43172,c_42927]) ).
tff(c_43399,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_43384,c_151]) ).
tff(c_43416,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_43399,c_147]) ).
tff(c_43419,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43180,c_43416]) ).
tff(c_43124,plain,
multiply(sk_c2,sk_c3) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_43111,c_42495]) ).
tff(c_43178,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_43172,c_43124]) ).
tff(c_43527,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43419,c_2,c_43399,c_43178]) ).
tff(c_43529,plain,
multiply(sk_c1,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_42499,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42494,c_4]) ).
tff(c_43599,plain,
! [X_678,Y_679,Z_680] : ( multiply(multiply(X_678,Y_679),Z_680) = multiply(X_678,multiply(Y_679,Z_680)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_43632,plain,
! [Z_680] : ( multiply(sk_c9,multiply(sk_c10,Z_680)) = multiply(identity,Z_680) ),
inference(superposition,[status(thm),theory(equality)],[c_42499,c_43599]) ).
tff(c_43881,plain,
! [Z_690] : ( multiply(sk_c9,multiply(sk_c10,Z_690)) = Z_690 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43632]) ).
tff(c_43920,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_43881]) ).
tff(c_43914,plain,
multiply(sk_c9,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_31565,c_43881]) ).
tff(c_44003,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_43920,c_43914]) ).
tff(c_43562,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_43529,c_24]) ).
tff(c_44005,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_44003,c_43562]) ).
tff(c_44010,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43529,c_44005]) ).
tff(c_44011,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_44016,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44011,c_4]) ).
tff(c_44079,plain,
! [X_692,Y_693,Z_694] : ( multiply(multiply(X_692,Y_693),Z_694) = multiply(X_692,multiply(Y_693,Z_694)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_44103,plain,
! [Z_694] : ( multiply(sk_c10,multiply(sk_c7,Z_694)) = multiply(identity,Z_694) ),
inference(superposition,[status(thm),theory(equality)],[c_44016,c_44079]) ).
tff(c_44176,plain,
! [Z_698] : ( multiply(sk_c10,multiply(sk_c7,Z_698)) = Z_698 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44103]) ).
tff(c_44188,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_44046,c_44176]) ).
tff(c_44058,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31561,c_74]) ).
tff(c_44264,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_44188,c_44058]) ).
tff(c_44276,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_44264,c_42494]) ).
tff(c_44285,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44276,c_4]) ).
tff(c_72,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c5) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_44053,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_31561,c_72]) ).
tff(c_44272,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_44264,c_44053]) ).
tff(c_44109,plain,
! [Z_694] : ( multiply(sk_c10,multiply(sk_c6,Z_694)) = multiply(identity,Z_694) ),
inference(superposition,[status(thm),theory(equality)],[c_31565,c_44079]) ).
tff(c_44307,plain,
! [Z_700] : ( multiply(sk_c10,multiply(sk_c6,Z_700)) = Z_700 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44109]) ).
tff(c_44319,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_44272,c_44307]) ).
tff(c_44323,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44285,c_44319]) ).
tff(c_44275,plain,
multiply(sk_c2,sk_c3) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_44264,c_42495]) ).
tff(c_44326,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_44323,c_44275]) ).
tff(c_44121,plain,
! [X_2,Z_694] : ( multiply(inverse(X_2),multiply(X_2,Z_694)) = multiply(identity,Z_694) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_44079]) ).
tff(c_44399,plain,
! [X_702,Z_703] : ( multiply(inverse(X_702),multiply(X_702,Z_703)) = Z_703 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44121]) ).
tff(c_44435,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_151,c_44399]) ).
tff(c_44135,plain,
! [X_2,Z_694] : ( multiply(inverse(X_2),multiply(X_2,Z_694)) = Z_694 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44121]) ).
tff(c_44688,plain,
! [X_707,Z_708] : ( multiply(inverse(inverse(X_707)),Z_708) = multiply(X_707,Z_708) ),
inference(superposition,[status(thm),theory(equality)],[c_44399,c_44135]) ).
tff(c_44441,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_44399]) ).
tff(c_44743,plain,
! [X_709] : ( multiply(X_709,identity) = X_709 ),
inference(superposition,[status(thm),theory(equality)],[c_44688,c_44441]) ).
tff(c_44791,plain,
inverse(sk_c3) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_44435,c_44743]) ).
tff(c_44833,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44791,c_4]) ).
tff(c_44839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44326,c_44833]) ).
tff(c_44841,plain,
inverse(sk_c2) != sk_c3,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_44,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_44863,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_44841,c_44]) ).
tff(c_44867,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44863,c_4]) ).
tff(c_44930,plain,
! [X_710,Y_711,Z_712] : ( multiply(multiply(X_710,Y_711),Z_712) = multiply(X_710,multiply(Y_711,Z_712)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_44954,plain,
! [Z_712] : ( multiply(sk_c9,multiply(sk_c10,Z_712)) = multiply(identity,Z_712) ),
inference(superposition,[status(thm),theory(equality)],[c_44867,c_44930]) ).
tff(c_45109,plain,
! [Z_718] : ( multiply(sk_c9,multiply(sk_c10,Z_718)) = Z_718 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44954]) ).
tff(c_45139,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_45109]) ).
tff(c_44840,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_44846,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44840,c_4]) ).
tff(c_45133,plain,
multiply(sk_c9,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_44846,c_45109]) ).
tff(c_45352,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_45139,c_45133]) ).
tff(c_52,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_44910,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_44841,c_52]) ).
tff(c_45354,plain,
multiply(sk_c1,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_45352,c_44910]) ).
tff(c_44966,plain,
! [Z_712] : ( multiply(sk_c10,multiply(sk_c1,Z_712)) = multiply(identity,Z_712) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_44930]) ).
tff(c_44981,plain,
! [Z_712] : ( multiply(sk_c10,multiply(sk_c1,Z_712)) = Z_712 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44966]) ).
tff(c_45366,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_45354,c_44981]) ).
tff(c_50,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_44898,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_44841,c_50]) ).
tff(c_45399,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_45366,c_44898]) ).
tff(c_45417,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45399,c_44867]) ).
tff(c_46,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_44855,plain,
inverse(sk_c6) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_44841,c_46]) ).
tff(c_44859,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44855,c_4]) ).
tff(c_45130,plain,
multiply(sk_c9,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_44859,c_45109]) ).
tff(c_45192,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_45139,c_45130]) ).
tff(c_48,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_44887,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_44841,c_48]) ).
tff(c_45201,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_45192,c_44887]) ).
tff(c_45413,plain,
multiply(sk_c1,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_45399,c_45201]) ).
tff(c_47431,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_45413,c_44981]) ).
tff(c_47437,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45417,c_47431]) ).
tff(c_44969,plain,
! [X_2,Z_712] : ( multiply(inverse(X_2),multiply(X_2,Z_712)) = multiply(identity,Z_712) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_44930]) ).
tff(c_47439,plain,
! [X_760,Z_761] : ( multiply(inverse(X_760),multiply(X_760,Z_761)) = Z_761 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44969]) ).
tff(c_44982,plain,
! [X_2,Z_712] : ( multiply(inverse(X_2),multiply(X_2,Z_712)) = Z_712 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44969]) ).
tff(c_47586,plain,
! [X_763,Z_764] : ( multiply(inverse(inverse(X_763)),Z_764) = multiply(X_763,Z_764) ),
inference(superposition,[status(thm),theory(equality)],[c_47439,c_44982]) ).
tff(c_47481,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47439]) ).
tff(c_47593,plain,
! [X_763] : ( multiply(X_763,identity) = X_763 ),
inference(superposition,[status(thm),theory(equality)],[c_47586,c_47481]) ).
tff(c_45503,plain,
! [X_723,Z_724] : ( multiply(inverse(X_723),multiply(X_723,Z_724)) = Z_724 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44969]) ).
tff(c_45590,plain,
! [X_726,Z_727] : ( multiply(inverse(inverse(X_726)),Z_727) = multiply(X_726,Z_727) ),
inference(superposition,[status(thm),theory(equality)],[c_44982,c_45503]) ).
tff(c_45628,plain,
! [X_726] : ( multiply(X_726,inverse(X_726)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_45590]) ).
tff(c_45457,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_45413,c_44981]) ).
tff(c_45463,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45417,c_45457]) ).
tff(c_45524,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_45503]) ).
tff(c_45597,plain,
! [X_726] : ( multiply(X_726,identity) = X_726 ),
inference(superposition,[status(thm),theory(equality)],[c_45590,c_45524]) ).
tff(c_45232,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_45139,c_45133]) ).
tff(c_45234,plain,
multiply(sk_c1,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_45232,c_44910]) ).
tff(c_45246,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_45234,c_44981]) ).
tff(c_45279,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_45246,c_44898]) ).
tff(c_44998,plain,
! [X5_6,X4_13,X3_8,X8_12,X1_10] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44863,c_104]) ).
tff(c_45072,plain,
! [X4_716] :
( ( multiply(X4_716,sk_c9) != sk_c10 )
| ( inverse(X4_716) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_44998]) ).
tff(c_45082,plain,
inverse(sk_c6) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_44887,c_45072]) ).
tff(c_45094,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44855,c_45082]) ).
tff(c_45095,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_44998]) ).
tff(c_45231,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_45095]) ).
tff(c_45325,plain,
! [X3_721] :
( ( inverse(X3_721) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_721,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45279,c_45231]) ).
tff(c_45332,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_44981,c_45325]) ).
tff(c_45350,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121,c_45332]) ).
tff(c_45351,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_45095]) ).
tff(c_45444,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45399,c_45399,c_45399,c_45399,c_45351]) ).
tff(c_45445,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_45444]) ).
tff(c_47416,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_45628,c_45463,c_45597,c_45463,c_45463,c_45445]) ).
tff(c_45418,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_45399,c_44863]) ).
tff(c_45468,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45463,c_45463,c_45418]) ).
tff(c_47418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47416,c_45468]) ).
tff(c_47419,plain,
! [X8_12,X1_10] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_45444]) ).
tff(c_61143,plain,
! [X8_12,X1_10] :
( ( inverse(X8_12) != identity )
| ( identity != X8_12 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47437,c_47593,c_47437,c_47437,c_47593,c_47437,c_47437,c_2,c_47437,c_47437,c_47419]) ).
tff(c_61145,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_61143]) ).
tff(c_45414,plain,
multiply(sk_c10,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_45399,c_45139]) ).
tff(c_47463,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_45417,c_47439]) ).
tff(c_47490,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_45414,c_45418,c_47463]) ).
tff(c_47509,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47437,c_47490]) ).
tff(c_47501,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47437,c_121]) ).
tff(c_47536,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47509,c_47501]) ).
tff(c_61147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61145,c_47536]) ).
tff(c_61149,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_61143]) ).
tff(c_61151,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61149,c_47536]) ).
tff(c_61153,plain,
inverse(sk_c4) != sk_c10,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_100,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_61233,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_61153,c_100]) ).
tff(c_61152,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_61157,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61152,c_4]) ).
tff(c_61289,plain,
! [Z_889] : ( multiply(sk_c10,multiply(sk_c7,Z_889)) = multiply(identity,Z_889) ),
inference(superposition,[status(thm),theory(equality)],[c_61157,c_61256]) ).
tff(c_61333,plain,
! [Z_891] : ( multiply(sk_c10,multiply(sk_c7,Z_891)) = Z_891 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61289]) ).
tff(c_61345,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_61233,c_61333]) ).
tff(c_98,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_61209,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_61153,c_98]) ).
tff(c_61446,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_61345,c_61209]) ).
tff(c_92,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_61178,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_61153,c_92]) ).
tff(c_61457,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_61446,c_61178]) ).
tff(c_61465,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61457,c_4]) ).
tff(c_96,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_61216,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_61153,c_96]) ).
tff(c_61455,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_61446,c_61216]) ).
tff(c_94,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_61190,plain,
inverse(sk_c6) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_61153,c_94]) ).
tff(c_61194,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61190,c_4]) ).
tff(c_61280,plain,
! [Z_889] : ( multiply(sk_c10,multiply(sk_c6,Z_889)) = multiply(identity,Z_889) ),
inference(superposition,[status(thm),theory(equality)],[c_61194,c_61256]) ).
tff(c_61303,plain,
! [Z_889] : ( multiply(sk_c10,multiply(sk_c6,Z_889)) = Z_889 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61280]) ).
tff(c_61481,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_61455,c_61303]) ).
tff(c_61487,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61465,c_61481]) ).
tff(c_61492,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61487,c_61446]) ).
tff(c_61352,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_61345,c_61209]) ).
tff(c_61363,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_61352,c_61178]) ).
tff(c_61371,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61363,c_4]) ).
tff(c_61361,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_61352,c_61216]) ).
tff(c_61387,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_61361,c_61303]) ).
tff(c_61393,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61371,c_61387]) ).
tff(c_61397,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61393,c_61393,c_61363]) ).
tff(c_61398,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61393,c_61352]) ).
tff(c_61350,plain,
! [X5_6,X4_13,X3_8,X8_12,X1_10] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61178,c_104]) ).
tff(c_61351,plain,
! [X4_13] :
( ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_61350]) ).
tff(c_61428,plain,
! [X4_892] :
( ( multiply(X4_892,identity) != identity )
| ( inverse(X4_892) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61393,c_61398,c_61393,c_61351]) ).
tff(c_61436,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_61428]) ).
tff(c_61444,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_61397,c_61397,c_61436]) ).
tff(c_61445,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_61350]) ).
tff(c_61521,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),identity) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity )
| ( inverse(X8_12) != identity )
| ( multiply(X8_12,identity) != identity )
| ( multiply(X1_10,identity) != identity )
| ( inverse(X1_10) != identity )
| ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61492,c_61487,c_2,c_61487,c_61487,c_61487,c_61492,c_61487,c_61492,c_61487,c_2,c_61487,c_61487,c_61492,c_61492,c_61487,c_61445]) ).
tff(c_61522,plain,
! [X3_8] :
( ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_61521]) ).
tff(c_62473,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_61774,c_61522]) ).
tff(c_61491,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61487,c_61487,c_61457]) ).
tff(c_62475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62473,c_61491]) ).
tff(c_62476,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,identity) != identity )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( multiply(X8_12,identity) != identity )
| ( multiply(inverse(X5_6),identity) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(splitRight,[status(thm)],[c_61521]) ).
tff(c_136876,plain,
! [X1_10,X8_12,X5_6] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62819,c_62782,c_62782,c_62782,c_62476]) ).
tff(c_136877,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(splitLeft,[status(thm)],[c_136876]) ).
tff(c_136879,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136877,c_61491]) ).
tff(c_136880,plain,
! [X1_10,X8_12] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 ) ),
inference(splitRight,[status(thm)],[c_136876]) ).
tff(c_136882,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_136880]) ).
tff(c_136884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136882,c_61491]) ).
tff(c_138261,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_136880]) ).
tff(c_138263,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138261,c_61491]) ).
tff(c_138265,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_16,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_138309,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_138265,c_16]) ).
tff(c_138264,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_138269,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138264,c_4]) ).
tff(c_138416,plain,
! [Z_1199] : ( multiply(sk_c10,multiply(sk_c7,Z_1199)) = multiply(identity,Z_1199) ),
inference(superposition,[status(thm),theory(equality)],[c_138269,c_138380]) ).
tff(c_138559,plain,
! [Z_1203] : ( multiply(sk_c10,multiply(sk_c7,Z_1203)) = Z_1203 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138416]) ).
tff(c_138571,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_138309,c_138559]) ).
tff(c_14,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_138349,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_138265,c_14]) ).
tff(c_138575,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_138571,c_138349]) ).
tff(c_8,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_138277,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_138265,c_8]) ).
tff(c_138675,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_138575,c_138277]) ).
tff(c_138683,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138675,c_4]) ).
tff(c_12,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_138359,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_138265,c_12]) ).
tff(c_10,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_138285,plain,
inverse(sk_c6) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_138265,c_10]) ).
tff(c_138289,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138285,c_4]) ).
tff(c_138410,plain,
! [Z_1199] : ( multiply(sk_c10,multiply(sk_c6,Z_1199)) = multiply(identity,Z_1199) ),
inference(superposition,[status(thm),theory(equality)],[c_138289,c_138380]) ).
tff(c_138434,plain,
! [Z_1200] : ( multiply(sk_c10,multiply(sk_c6,Z_1200)) = Z_1200 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138410]) ).
tff(c_138446,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_138359,c_138434]) ).
tff(c_138672,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_138575,c_138446]) ).
tff(c_138694,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_138683,c_138672]) ).
tff(c_138705,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_138694,c_138575]) ).
tff(c_138587,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_138575,c_138277]) ).
tff(c_138595,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138587,c_4]) ).
tff(c_138584,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_138575,c_138446]) ).
tff(c_138606,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_138595,c_138584]) ).
tff(c_138616,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_138606,c_138606,c_138587]) ).
tff(c_138617,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_138606,c_138575]) ).
tff(c_138460,plain,
! [Z_1201] : ( multiply(sk_c10,multiply(sk_c7,Z_1201)) = Z_1201 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138416]) ).
tff(c_138472,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_138309,c_138460]) ).
tff(c_138476,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_138472,c_138349]) ).
tff(c_138485,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_138476,c_138359]) ).
tff(c_138451,plain,
! [X5_6,X4_13,X3_8,X8_12,X1_10] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138277,c_104]) ).
tff(c_138452,plain,
! [X4_13] :
( ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_138451]) ).
tff(c_138499,plain,
! [X4_13] :
( ( multiply(X4_13,sk_c10) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138476,c_138452]) ).
tff(c_138538,plain,
inverse(sk_c6) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_138485,c_138499]) ).
tff(c_138550,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_138285,c_138538]) ).
tff(c_138551,plain,
! [X5_6,X8_12,X1_10,X3_8] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_138451]) ).
tff(c_138583,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c10 )
| ( multiply(sk_c10,multiply(X3_8,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_138551]) ).
tff(c_138654,plain,
! [X3_1204] :
( ( inverse(X3_1204) != identity )
| ( multiply(X3_1204,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138617,c_138606,c_2,c_138606,c_138606,c_138583]) ).
tff(c_138662,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_138654]) ).
tff(c_138670,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_138616,c_138616,c_138662]) ).
tff(c_138671,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_138551]) ).
tff(c_138741,plain,
! [X1_10,X8_12,X5_6] :
( ( multiply(X1_10,identity) != identity )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( multiply(X8_12,identity) != identity )
| ( multiply(inverse(X5_6),identity) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138705,c_138705,c_138694,c_138705,c_138694,c_2,c_138694,c_138694,c_138694,c_138705,c_138694,c_138671]) ).
tff(c_138742,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),identity) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(splitLeft,[status(thm)],[c_138741]) ).
tff(c_144787,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_139043,c_139006,c_138742]) ).
tff(c_138704,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_138694,c_138694,c_138675]) ).
tff(c_144789,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144787,c_138704]) ).
tff(c_144790,plain,
! [X8_12,X1_10] :
( ( inverse(X8_12) != identity )
| ( multiply(X8_12,identity) != identity )
| ( multiply(X1_10,identity) != identity )
| ( inverse(X1_10) != identity ) ),
inference(splitRight,[status(thm)],[c_138741]) ).
tff(c_169407,plain,
! [X8_12,X1_10] :
( ( inverse(X8_12) != identity )
| ( identity != X8_12 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145057,c_145057,c_144790]) ).
tff(c_169409,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_169407]) ).
tff(c_169411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169409,c_138704]) ).
tff(c_169413,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_169407]) ).
tff(c_169415,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169413,c_138704]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : GRP221-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.17 % 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
% 0.15/0.38 % Computer : n020.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Thu Aug 3 22:12:52 EDT 2023
% 0.15/0.38 % CPUTime :
% 27.90/15.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.36/15.65
% 28.36/15.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 28.78/15.76
% 28.78/15.76 Inference rules
% 28.78/15.76 ----------------------
% 28.78/15.76 #Ref : 0
% 28.78/15.76 #Sup : 40854
% 28.78/15.76 #Fact : 0
% 28.78/15.77 #Define : 0
% 28.78/15.77 #Split : 104
% 28.78/15.77 #Chain : 0
% 28.78/15.77 #Close : 0
% 28.78/15.77
% 28.78/15.77 Ordering : KBO
% 28.78/15.77
% 28.78/15.77 Simplification rules
% 28.78/15.77 ----------------------
% 28.78/15.77 #Subsume : 17
% 28.78/15.77 #Demod : 122111
% 28.78/15.77 #Tautology : 33577
% 28.78/15.77 #SimpNegUnit : 253
% 28.78/15.77 #BackRed : 1450
% 28.78/15.77
% 28.78/15.77 #Partial instantiations: 0
% 28.78/15.77 #Strategies tried : 1
% 28.78/15.77
% 28.78/15.77 Timing (in seconds)
% 28.78/15.77 ----------------------
% 28.78/15.77 Preprocessing : 0.60
% 28.78/15.77 Parsing : 0.25
% 28.78/15.77 CNF conversion : 0.03
% 28.78/15.77 Main loop : 13.59
% 28.78/15.77 Inferencing : 2.69
% 28.78/15.77 Reduction : 8.74
% 28.78/15.77 Demodulation : 8.11
% 28.78/15.77 BG Simplification : 0.23
% 28.78/15.77 Subsumption : 1.34
% 28.78/15.77 Abstraction : 0.55
% 28.78/15.77 MUC search : 0.00
% 28.78/15.77 Cooper : 0.00
% 28.78/15.77 Total : 14.53
% 28.78/15.77 Index Insertion : 0.00
% 28.78/15.77 Index Deletion : 0.00
% 28.78/15.77 Index Matching : 0.00
% 28.78/15.77 BG Taut test : 0.00
%------------------------------------------------------------------------------