TSTP Solution File: GRP319-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP319-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n014.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 10:40:54 EDT 2023
% Result : Unsatisfiable 206.37s 176.65s
% Output : CNFRefutation 206.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 49
% Syntax : Number of formulae : 695 ( 577 unt; 12 typ; 0 def)
% Number of atoms : 952 ( 915 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 579 ( 310 ~; 269 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 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 : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 347 (; 347 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > 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_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_71,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( multiply(sk_c8,sk_c9) != sk_c7 )
| ( multiply(X4,sk_c8) != sk_c9 )
| ( inverse(X4) != sk_c8 )
| ( multiply(sk_c9,X5) != sk_c8 )
| ( multiply(X6,sk_c9) != X5 )
| ( inverse(X6) != sk_c9 )
| ( multiply(X1,sk_c9) != sk_c8 )
| ( inverse(X1) != sk_c9 )
| ( multiply(X2,sk_c8) != sk_c7 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X3) != sk_c7 )
| ( multiply(X3,sk_c9) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c6) = sk_c7 ) ),
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_633452,plain,
! [X_1492,Y_1493,Z_1494] : ( multiply(multiply(X_1492,Y_1493),Z_1494) = multiply(X_1492,multiply(Y_1493,Z_1494)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_633488,plain,
! [X_2,Z_1494] : ( multiply(inverse(X_2),multiply(X_2,Z_1494)) = multiply(identity,Z_1494) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_633452]) ).
tff(c_633500,plain,
! [X_2,Z_1494] : ( multiply(inverse(X_2),multiply(X_2,Z_1494)) = Z_1494 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633488]) ).
tff(c_634591,plain,
! [X_1518,Z_1519] : ( multiply(inverse(X_1518),multiply(X_1518,Z_1519)) = Z_1519 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633488]) ).
tff(c_635643,plain,
! [X_1533,Z_1534] : ( multiply(inverse(inverse(X_1533)),Z_1534) = multiply(X_1533,Z_1534) ),
inference(superposition,[status(thm),theory(equality)],[c_633500,c_634591]) ).
tff(c_634678,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_634591]) ).
tff(c_635650,plain,
! [X_1533] : ( multiply(X_1533,identity) = X_1533 ),
inference(superposition,[status(thm),theory(equality)],[c_635643,c_634678]) ).
tff(c_606202,plain,
! [X_1285,Y_1286,Z_1287] : ( multiply(multiply(X_1285,Y_1286),Z_1287) = multiply(X_1285,multiply(Y_1286,Z_1287)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_606238,plain,
! [X_2,Z_1287] : ( multiply(inverse(X_2),multiply(X_2,Z_1287)) = multiply(identity,Z_1287) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_606202]) ).
tff(c_606619,plain,
! [X_1296,Z_1297] : ( multiply(inverse(X_1296),multiply(X_1296,Z_1297)) = Z_1297 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_606238]) ).
tff(c_606250,plain,
! [X_2,Z_1287] : ( multiply(inverse(X_2),multiply(X_2,Z_1287)) = Z_1287 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_606238]) ).
tff(c_607640,plain,
! [X_1314,Z_1315] : ( multiply(inverse(inverse(X_1314)),Z_1315) = multiply(X_1314,Z_1315) ),
inference(superposition,[status(thm),theory(equality)],[c_606619,c_606250]) ).
tff(c_606697,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_606619]) ).
tff(c_607647,plain,
! [X_1314] : ( multiply(X_1314,identity) = X_1314 ),
inference(superposition,[status(thm),theory(equality)],[c_607640,c_606697]) ).
tff(c_607035,plain,
! [X_1302,Z_1303] : ( multiply(inverse(inverse(X_1302)),Z_1303) = multiply(X_1302,Z_1303) ),
inference(superposition,[status(thm),theory(equality)],[c_606250,c_606619]) ).
tff(c_607042,plain,
! [X_1302] : ( multiply(X_1302,identity) = X_1302 ),
inference(superposition,[status(thm),theory(equality)],[c_607035,c_606697]) ).
tff(c_12,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_591862,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_80,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_591961,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_591862,c_80]) ).
tff(c_592010,plain,
! [X4_1089] :
( ( inverse(X4_1089) != sk_c8 )
| ( multiply(X4_1089,sk_c8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_591961]) ).
tff(c_592021,plain,
( ( inverse(inverse(sk_c8)) != sk_c8 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_592010]) ).
tff(c_592028,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_592021]) ).
tff(c_22,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_130,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_110,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_114,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_110,c_4]) ).
tff(c_590284,plain,
! [X_1057,Y_1058,Z_1059] : ( multiply(multiply(X_1057,Y_1058),Z_1059) = multiply(X_1057,multiply(Y_1058,Z_1059)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_590323,plain,
! [Z_1059] : ( multiply(sk_c8,multiply(sk_c1,Z_1059)) = multiply(identity,Z_1059) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_590284]) ).
tff(c_590344,plain,
! [Z_1060] : ( multiply(sk_c8,multiply(sk_c1,Z_1060)) = Z_1060 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_590323]) ).
tff(c_590356,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_130,c_590344]) ).
tff(c_590329,plain,
! [X_2,Z_1059] : ( multiply(inverse(X_2),multiply(X_2,Z_1059)) = multiply(identity,Z_1059) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_590284]) ).
tff(c_590416,plain,
! [X_1063,Z_1064] : ( multiply(inverse(X_1063),multiply(X_1063,Z_1064)) = Z_1064 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_590329]) ).
tff(c_590446,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_590356,c_590416]) ).
tff(c_590509,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_590446]) ).
tff(c_64,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_125,plain,
multiply(sk_c2,sk_c9) = sk_c3,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_74,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_97,plain,
inverse(sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_101,plain,
multiply(sk_c9,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_590326,plain,
! [Z_1059] : ( multiply(sk_c9,multiply(sk_c2,Z_1059)) = multiply(identity,Z_1059) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_590284]) ).
tff(c_590369,plain,
! [Z_1061] : ( multiply(sk_c9,multiply(sk_c2,Z_1061)) = Z_1061 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_590326]) ).
tff(c_590381,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_125,c_590369]) ).
tff(c_16,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_135,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_589235,plain,
! [X_1036,Y_1037,Z_1038] : ( multiply(multiply(X_1036,Y_1037),Z_1038) = multiply(X_1036,multiply(Y_1037,Z_1038)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_589277,plain,
! [Z_1038] : ( multiply(sk_c8,multiply(sk_c1,Z_1038)) = multiply(identity,Z_1038) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_589235]) ).
tff(c_589391,plain,
! [Z_1041] : ( multiply(sk_c8,multiply(sk_c1,Z_1041)) = Z_1041 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_589277]) ).
tff(c_589403,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_130,c_589391]) ).
tff(c_589407,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135,c_589403]) ).
tff(c_589414,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_589407,c_135]) ).
tff(c_589283,plain,
! [X_2,Z_1038] : ( multiply(inverse(X_2),multiply(X_2,Z_1038)) = multiply(identity,Z_1038) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_589235]) ).
tff(c_589531,plain,
! [X_1044,Z_1045] : ( multiply(inverse(X_1044),multiply(X_1044,Z_1045)) = Z_1045 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_589283]) ).
tff(c_589570,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_589414,c_589531]) ).
tff(c_589623,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_589570]) ).
tff(c_589280,plain,
! [Z_1038] : ( multiply(sk_c9,multiply(sk_c2,Z_1038)) = multiply(identity,Z_1038) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_589235]) ).
tff(c_589484,plain,
! [Z_1042] : ( multiply(sk_c9,multiply(sk_c2,Z_1042)) = Z_1042 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_589280]) ).
tff(c_589496,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_125,c_589484]) ).
tff(c_171,plain,
! [X_14,Y_15,Z_16] : ( multiply(multiply(X_14,Y_15),Z_16) = multiply(X_14,multiply(Y_15,Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_198,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_171]) ).
tff(c_216,plain,
! [Z_17] : ( multiply(sk_c8,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_198]) ).
tff(c_228,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_130,c_216]) ).
tff(c_232,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135,c_228]) ).
tff(c_235,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_135]) ).
tff(c_204,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_171]) ).
tff(c_214,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_366,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_235,c_214]) ).
tff(c_372,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_366]) ).
tff(c_378,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_372,c_97]) ).
tff(c_390,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_378,c_4]) ).
tff(c_441,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_390,c_214]) ).
tff(c_453,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_441]) ).
tff(c_457,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_453,c_378]) ).
tff(c_270,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_294,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_125,c_270]) ).
tff(c_310,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_294]) ).
tff(c_314,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_310,c_214]) ).
tff(c_320,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_314]) ).
tff(c_50,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_142,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_186,plain,
! [Z_16] : ( multiply(sk_c9,multiply(sk_c3,Z_16)) = multiply(sk_c8,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_171]) ).
tff(c_396,plain,
! [Z_20] : ( multiply(sk_c7,Z_20) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_372,c_2,c_320,c_232,c_186]) ).
tff(c_238,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_110]) ).
tff(c_266,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_238,c_4]) ).
tff(c_402,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_396,c_266]) ).
tff(c_419,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_402,c_238]) ).
tff(c_465,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_457,c_419]) ).
tff(c_527,plain,
! [X_22,Z_23] : ( multiply(inverse(inverse(X_22)),Z_23) = multiply(X_22,Z_23) ),
inference(superposition,[status(thm),theory(equality)],[c_214,c_270]) ).
tff(c_303,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_270]) ).
tff(c_534,plain,
! [X_22] : ( multiply(X_22,identity) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_527,c_303]) ).
tff(c_243,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c9 )
| ( multiply(sk_c7,sk_c9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_232,c_232,c_232,c_232,c_232,c_232,c_232,c_80]) ).
tff(c_244,plain,
multiply(sk_c7,sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_243]) ).
tff(c_260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_235]) ).
tff(c_261,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_243]) ).
tff(c_8610,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( identity != X3_8 )
| ( inverse(X3_8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_465,c_534,c_465,c_372,c_534,c_465,c_465,c_465,c_534,c_465,c_372,c_372,c_534,c_465,c_372,c_2,c_372,c_372,c_534,c_465,c_372,c_465,c_261]) ).
tff(c_8612,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8610]) ).
tff(c_8614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8612,c_457]) ).
tff(c_8615,plain,
! [X2_10,X1_9,X6_7,X4_11] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(splitRight,[status(thm)],[c_8610]) ).
tff(c_583237,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8615]) ).
tff(c_583239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_583237,c_457]) ).
tff(c_583240,plain,
! [X6_7,X1_9,X2_10] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_8615]) ).
tff(c_589152,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_583240]) ).
tff(c_589154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_589152,c_457]) ).
tff(c_589155,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_583240]) ).
tff(c_589157,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_589155]) ).
tff(c_589159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_589157,c_457]) ).
tff(c_589161,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_589155]) ).
tff(c_589163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_589161,c_457]) ).
tff(c_589165,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_589412,plain,
multiply(sk_c9,sk_c3) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_589407,c_589165]) ).
tff(c_589500,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_589496,c_589412]) ).
tff(c_589637,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_589623,c_589500]) ).
tff(c_44,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_589230,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_589165,c_44]) ).
tff(c_589409,plain,
multiply(sk_c4,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_589407,c_589230]) ).
tff(c_46,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_589177,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_589165,c_46]) ).
tff(c_589181,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_589177,c_4]) ).
tff(c_589262,plain,
! [Z_1038] : ( multiply(sk_c9,multiply(sk_c4,Z_1038)) = multiply(identity,Z_1038) ),
inference(superposition,[status(thm),theory(equality)],[c_589181,c_589235]) ).
tff(c_589508,plain,
! [Z_1043] : ( multiply(sk_c9,multiply(sk_c4,Z_1043)) = Z_1043 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_589262]) ).
tff(c_589520,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_589409,c_589508]) ).
tff(c_589549,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_589520,c_589531]) ).
tff(c_589619,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_589549]) ).
tff(c_589687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_589637,c_589619]) ).
tff(c_589689,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_589724,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_589689,c_14]) ).
tff(c_589757,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_589689,c_12]) ).
tff(c_589766,plain,
! [X_1047,Y_1048,Z_1049] : ( multiply(multiply(X_1047,Y_1048),Z_1049) = multiply(X_1047,multiply(Y_1048,Z_1049)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_589814,plain,
! [X_2,Z_1049] : ( multiply(inverse(X_2),multiply(X_2,Z_1049)) = multiply(identity,Z_1049) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_589766]) ).
tff(c_589920,plain,
! [X_1053,Z_1054] : ( multiply(inverse(X_1053),multiply(X_1053,Z_1054)) = Z_1054 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_589814]) ).
tff(c_589953,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_589757,c_589920]) ).
tff(c_589982,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_589724,c_589953]) ).
tff(c_589827,plain,
! [X_2,Z_1049] : ( multiply(inverse(X_2),multiply(X_2,Z_1049)) = Z_1049 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_589814]) ).
tff(c_589992,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_589982,c_589827]) ).
tff(c_589998,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_589992]) ).
tff(c_589808,plain,
! [Z_1049] : ( multiply(sk_c8,multiply(sk_c1,Z_1049)) = multiply(identity,Z_1049) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_589766]) ).
tff(c_589829,plain,
! [Z_1050] : ( multiply(sk_c8,multiply(sk_c1,Z_1050)) = Z_1050 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_589808]) ).
tff(c_589841,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_130,c_589829]) ).
tff(c_589845,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_589841,c_589689]) ).
tff(c_590001,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_589998,c_589845]) ).
tff(c_589688,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_589693,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_589688,c_4]) ).
tff(c_590003,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_589998,c_589693]) ).
tff(c_590047,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_590003,c_589827]) ).
tff(c_590059,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_590047]) ).
tff(c_589703,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_589811,plain,
! [Z_1049] : ( multiply(sk_c9,multiply(sk_c2,Z_1049)) = multiply(identity,Z_1049) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_589766]) ).
tff(c_589866,plain,
! [Z_1052] : ( multiply(sk_c9,multiply(sk_c2,Z_1052)) = Z_1052 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_589811]) ).
tff(c_589878,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_125,c_589866]) ).
tff(c_589882,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_589703,c_589878]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_589743,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_589689,c_18]) ).
tff(c_589887,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_589882,c_589743]) ).
tff(c_590216,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_590059,c_589998,c_589887]) ).
tff(c_590217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_590001,c_590216]) ).
tff(c_590219,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_590385,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_590381,c_590219]) ).
tff(c_590524,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_590509,c_590385]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_590234,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_589689,c_10]) ).
tff(c_590257,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_590219,c_44]) ).
tff(c_590461,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_590257,c_590416]) ).
tff(c_590512,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_590234,c_590461]) ).
tff(c_590631,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_590509,c_2,c_590509,c_590512]) ).
tff(c_590632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_590524,c_590631]) ).
tff(c_590634,plain,
multiply(sk_c1,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_24,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_591874,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_590634,c_24]) ).
tff(c_52,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_590642,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_590716,plain,
! [X_1067,Y_1068,Z_1069] : ( multiply(multiply(X_1067,Y_1068),Z_1069) = multiply(X_1067,multiply(Y_1068,Z_1069)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_590761,plain,
! [Z_1069] : ( multiply(sk_c9,multiply(sk_c2,Z_1069)) = multiply(identity,Z_1069) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_590716]) ).
tff(c_590792,plain,
! [Z_1071] : ( multiply(sk_c9,multiply(sk_c2,Z_1071)) = Z_1071 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_590761]) ).
tff(c_590804,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_125,c_590792]) ).
tff(c_590808,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_590642,c_590804]) ).
tff(c_590651,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_590925,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_590808,c_590651]) ).
tff(c_590633,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_590929,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_590808,c_590633]) ).
tff(c_20,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_590702,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_590634,c_20]) ).
tff(c_590923,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_590808,c_590702]) ).
tff(c_590764,plain,
! [X_2,Z_1069] : ( multiply(inverse(X_2),multiply(X_2,Z_1069)) = multiply(identity,Z_1069) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_590716]) ).
tff(c_591006,plain,
! [X_1073,Z_1074] : ( multiply(inverse(X_1073),multiply(X_1073,Z_1074)) = Z_1074 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_590764]) ).
tff(c_591027,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_590923,c_591006]) ).
tff(c_591085,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_590925,c_590929,c_591027]) ).
tff(c_26,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_590675,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_590634,c_26]) ).
tff(c_590710,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_590634,c_24]) ).
tff(c_591057,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_590710,c_591006]) ).
tff(c_591089,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_590675,c_591057]) ).
tff(c_591196,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_591085,c_591085,c_591089]) ).
tff(c_590777,plain,
! [X_2,Z_1069] : ( multiply(inverse(X_2),multiply(X_2,Z_1069)) = Z_1069 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_590764]) ).
tff(c_591200,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_591196,c_590777]) ).
tff(c_591206,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_591200]) ).
tff(c_591110,plain,
multiply(sk_c7,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_591085,c_114]) ).
tff(c_591303,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_591206,c_591110]) ).
tff(c_590928,plain,
multiply(sk_c1,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_590808,c_590634]) ).
tff(c_591097,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_591085,c_591085,c_590928]) ).
tff(c_591322,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_591303,c_591206,c_591206,c_591097]) ).
tff(c_591324,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_591339,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_591324,c_14]) ).
tff(c_591371,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_591324,c_12]) ).
tff(c_591391,plain,
! [X_1076,Y_1077,Z_1078] : ( multiply(multiply(X_1076,Y_1077),Z_1078) = multiply(X_1076,multiply(Y_1077,Z_1078)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_591436,plain,
! [X_2,Z_1078] : ( multiply(inverse(X_2),multiply(X_2,Z_1078)) = multiply(identity,Z_1078) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_591391]) ).
tff(c_591504,plain,
! [X_1080,Z_1081] : ( multiply(inverse(X_1080),multiply(X_1080,Z_1081)) = Z_1081 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_591436]) ).
tff(c_591534,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_591371,c_591504]) ).
tff(c_591563,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_591339,c_591534]) ).
tff(c_591449,plain,
! [X_2,Z_1078] : ( multiply(inverse(X_2),multiply(X_2,Z_1078)) = Z_1078 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_591436]) ).
tff(c_591567,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_591563,c_591449]) ).
tff(c_591573,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_591567]) ).
tff(c_591323,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_591328,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_591323,c_4]) ).
tff(c_591577,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_591573,c_591328]) ).
tff(c_591705,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_591577,c_591449]) ).
tff(c_591717,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_591705]) ).
tff(c_591433,plain,
! [Z_1078] : ( multiply(sk_c9,multiply(sk_c2,Z_1078)) = multiply(identity,Z_1078) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_591391]) ).
tff(c_591451,plain,
! [Z_1079] : ( multiply(sk_c9,multiply(sk_c2,Z_1079)) = Z_1079 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_591433]) ).
tff(c_591463,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_125,c_591451]) ).
tff(c_591467,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_590642,c_591463]) ).
tff(c_591364,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_591324,c_18]) ).
tff(c_591470,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_591467,c_591364]) ).
tff(c_591742,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_591717,c_591573,c_591470]) ).
tff(c_591471,plain,
multiply(sk_c8,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_591467,c_591324]) ).
tff(c_591809,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_591742,c_2,c_591742,c_591573,c_591471]) ).
tff(c_591811,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_591827,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_591811,c_50]) ).
tff(c_591831,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_591827,c_4]) ).
tff(c_591887,plain,
! [X_1083,Y_1084,Z_1085] : ( multiply(multiply(X_1083,Y_1084),Z_1085) = multiply(X_1083,multiply(Y_1084,Z_1085)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_591914,plain,
! [Z_1085] : ( multiply(sk_c8,multiply(sk_c5,Z_1085)) = multiply(identity,Z_1085) ),
inference(superposition,[status(thm),theory(equality)],[c_591831,c_591887]) ).
tff(c_591987,plain,
! [Z_1088] : ( multiply(sk_c8,multiply(sk_c5,Z_1088)) = Z_1088 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_591914]) ).
tff(c_591999,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_591874,c_591987]) ).
tff(c_591932,plain,
! [X_2,Z_1085] : ( multiply(inverse(X_2),multiply(X_2,Z_1085)) = multiply(identity,Z_1085) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_591887]) ).
tff(c_592104,plain,
! [X_1092,Z_1093] : ( multiply(inverse(X_1092),multiply(X_1092,Z_1093)) = Z_1093 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_591932]) ).
tff(c_592140,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_591999,c_592104]) ).
tff(c_592212,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_592140]) ).
tff(c_30,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_591856,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_590634,c_30]) ).
tff(c_591810,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_591815,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_591810,c_4]) ).
tff(c_591917,plain,
! [Z_1085] : ( multiply(sk_c7,multiply(sk_c6,Z_1085)) = multiply(identity,Z_1085) ),
inference(superposition,[status(thm),theory(equality)],[c_591815,c_591887]) ).
tff(c_592073,plain,
! [Z_1091] : ( multiply(sk_c7,multiply(sk_c6,Z_1091)) = Z_1091 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_591917]) ).
tff(c_592085,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_591856,c_592073]) ).
tff(c_592236,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_592212,c_592212,c_592085]) ).
tff(c_592245,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_592236]) ).
tff(c_592247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_592028,c_592245]) ).
tff(c_592249,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_592021]) ).
tff(c_591929,plain,
! [Z_1085] : ( multiply(sk_c9,multiply(sk_c2,Z_1085)) = multiply(identity,Z_1085) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_591887]) ).
tff(c_591963,plain,
! [Z_1087] : ( multiply(sk_c9,multiply(sk_c2,Z_1087)) = Z_1087 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_591929]) ).
tff(c_591975,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_125,c_591963]) ).
tff(c_591979,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_591975,c_591811]) ).
tff(c_592252,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_592249,c_591979]) ).
tff(c_592260,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_592249,c_590633]) ).
tff(c_592315,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_592260,c_4]) ).
tff(c_592368,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_592315,c_2]) ).
tff(c_591867,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_591811,c_44]) ).
tff(c_592255,plain,
multiply(sk_c4,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_592249,c_591867]) ).
tff(c_592401,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_592368,c_592255]) ).
tff(c_592402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_592252,c_592401]) ).
tff(c_592404,plain,
multiply(sk_c2,sk_c9) != sk_c3,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_604565,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_592404,c_56]) ).
tff(c_593823,plain,
! [X_1119,Y_1120,Z_1121] : ( multiply(multiply(X_1119,Y_1120),Z_1121) = multiply(X_1119,multiply(Y_1120,Z_1121)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_593868,plain,
! [X_2,Z_1121] : ( multiply(inverse(X_2),multiply(X_2,Z_1121)) = multiply(identity,Z_1121) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_593823]) ).
tff(c_593881,plain,
! [X_2,Z_1121] : ( multiply(inverse(X_2),multiply(X_2,Z_1121)) = Z_1121 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_593868]) ).
tff(c_595077,plain,
! [X_1144,Z_1145] : ( multiply(inverse(X_1144),multiply(X_1144,Z_1145)) = Z_1145 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_593868]) ).
tff(c_595564,plain,
! [X_1150,Z_1151] : ( multiply(inverse(inverse(X_1150)),Z_1151) = multiply(X_1150,Z_1151) ),
inference(superposition,[status(thm),theory(equality)],[c_593881,c_595077]) ).
tff(c_595152,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_595077]) ).
tff(c_595571,plain,
! [X_1150] : ( multiply(X_1150,identity) = X_1150 ),
inference(superposition,[status(thm),theory(equality)],[c_595564,c_595152]) ).
tff(c_593763,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_592412,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_593862,plain,
! [Z_1121] : ( multiply(sk_c8,multiply(sk_c1,Z_1121)) = multiply(identity,Z_1121) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_593823]) ).
tff(c_593883,plain,
! [Z_1122] : ( multiply(sk_c8,multiply(sk_c1,Z_1122)) = Z_1122 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_593862]) ).
tff(c_593895,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_592412,c_593883]) ).
tff(c_593899,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_593763,c_593895]) ).
tff(c_593973,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_593899,c_593763]) ).
tff(c_595116,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_593973,c_595077]) ).
tff(c_595163,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_595116]) ).
tff(c_593269,plain,
! [X_1108,Y_1109,Z_1110] : ( multiply(multiply(X_1108,Y_1109),Z_1110) = multiply(X_1108,multiply(Y_1109,Z_1110)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_593308,plain,
! [Z_1110] : ( multiply(sk_c8,multiply(sk_c1,Z_1110)) = multiply(identity,Z_1110) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_593269]) ).
tff(c_593329,plain,
! [Z_1111] : ( multiply(sk_c8,multiply(sk_c1,Z_1111)) = Z_1111 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_593308]) ).
tff(c_593341,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_592412,c_593329]) ).
tff(c_592429,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_592491,plain,
! [X_1095,Y_1096,Z_1097] : ( multiply(multiply(X_1095,Y_1096),Z_1097) = multiply(X_1095,multiply(Y_1096,Z_1097)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_592533,plain,
! [Z_1097] : ( multiply(sk_c8,multiply(sk_c1,Z_1097)) = multiply(identity,Z_1097) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_592491]) ).
tff(c_592654,plain,
! [Z_1100] : ( multiply(sk_c8,multiply(sk_c1,Z_1100)) = Z_1100 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_592533]) ).
tff(c_592666,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_592412,c_592654]) ).
tff(c_592670,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_592429,c_592666]) ).
tff(c_592676,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_592670,c_592429]) ).
tff(c_592539,plain,
! [X_2,Z_1097] : ( multiply(inverse(X_2),multiply(X_2,Z_1097)) = multiply(identity,Z_1097) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_592491]) ).
tff(c_592814,plain,
! [X_1104,Z_1105] : ( multiply(inverse(X_1104),multiply(X_1104,Z_1105)) = Z_1105 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_592539]) ).
tff(c_592859,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_592676,c_592814]) ).
tff(c_592909,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_592859]) ).
tff(c_592926,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_592909,c_101]) ).
tff(c_592552,plain,
! [X_2,Z_1097] : ( multiply(inverse(X_2),multiply(X_2,Z_1097)) = Z_1097 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_592539]) ).
tff(c_593183,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_592926,c_592552]) ).
tff(c_593195,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_593183]) ).
tff(c_60,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_592467,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_592404,c_60]) ).
tff(c_592673,plain,
multiply(sk_c5,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_592670,c_592467]) ).
tff(c_62,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_592450,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_592404,c_62]) ).
tff(c_592454,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_592450,c_4]) ).
tff(c_592515,plain,
! [Z_1097] : ( multiply(sk_c8,multiply(sk_c5,Z_1097)) = multiply(identity,Z_1097) ),
inference(superposition,[status(thm),theory(equality)],[c_592454,c_592491]) ).
tff(c_592547,plain,
! [Z_1097] : ( multiply(sk_c8,multiply(sk_c5,Z_1097)) = Z_1097 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_592515]) ).
tff(c_592768,plain,
! [Z_1102] : ( multiply(sk_c7,multiply(sk_c5,Z_1102)) = Z_1102 ),
inference(demodulation,[status(thm),theory(equality)],[c_592670,c_592547]) ).
tff(c_592780,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_592673,c_592768]) ).
tff(c_592403,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_66,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_592472,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_592404,c_66]) ).
tff(c_592877,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_592472,c_592814]) ).
tff(c_592912,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_592780,c_592403,c_592877]) ).
tff(c_592933,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_592909,c_592912]) ).
tff(c_592424,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_592677,plain,
multiply(sk_c9,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_592670,c_592424]) ).
tff(c_592919,plain,
multiply(identity,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_592909,c_592677]) ).
tff(c_592928,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_592919]) ).
tff(c_592949,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_592933,c_592928]) ).
tff(c_592925,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_592909,c_592404]) ).
tff(c_593147,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_592949,c_592925]) ).
tff(c_593199,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_593195,c_593147]) ).
tff(c_593204,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_593199]) ).
tff(c_593206,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_593345,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_593341,c_593206]) ).
tff(c_593314,plain,
! [X_2,Z_1110] : ( multiply(inverse(X_2),multiply(X_2,Z_1110)) = multiply(identity,Z_1110) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_593269]) ).
tff(c_593391,plain,
! [X_1114,Z_1115] : ( multiply(inverse(X_1114),multiply(X_1114,Z_1115)) = Z_1115 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_593314]) ).
tff(c_593418,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_593341,c_593391]) ).
tff(c_593479,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_593418]) ).
tff(c_593494,plain,
multiply(identity,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_593479,c_592424]) ).
tff(c_593499,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_593494]) ).
tff(c_593220,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_593206,c_14]) ).
tff(c_593242,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_592404,c_60]) ).
tff(c_593433,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_593242,c_593391]) ).
tff(c_593482,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_593220,c_593433]) ).
tff(c_593591,plain,
multiply(sk_c3,sk_c7) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_593499,c_593499,c_593482]) ).
tff(c_593327,plain,
! [X_2,Z_1110] : ( multiply(inverse(X_2),multiply(X_2,Z_1110)) = Z_1110 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_593314]) ).
tff(c_593595,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_593591,c_593327]) ).
tff(c_593601,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_593595]) ).
tff(c_593353,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 )
| ( sk_c8 != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_593341,c_80]) ).
tff(c_593354,plain,
sk_c8 != sk_c7,
inference(splitLeft,[status(thm)],[c_593353]) ).
tff(c_593504,plain,
sk_c7 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_593499,c_593354]) ).
tff(c_593605,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_593601,c_593504]) ).
tff(c_593205,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_593253,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_592404,c_56]) ).
tff(c_593427,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_593253,c_593391]) ).
tff(c_593480,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_593205,c_593427]) ).
tff(c_593664,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_593499,c_593479,c_2,c_593479,c_593480]) ).
tff(c_593665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_593605,c_593664]) ).
tff(c_593667,plain,
sk_c8 = sk_c7,
inference(splitRight,[status(thm)],[c_593353]) ).
tff(c_593753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_593345,c_593667]) ).
tff(c_593755,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_48,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_593796,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_593755,c_48]) ).
tff(c_593969,plain,
multiply(sk_c5,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_593899,c_593796]) ).
tff(c_593778,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_592404,c_62]) ).
tff(c_593782,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_593778,c_4]) ).
tff(c_593847,plain,
! [Z_1121] : ( multiply(sk_c8,multiply(sk_c5,Z_1121)) = multiply(identity,Z_1121) ),
inference(superposition,[status(thm),theory(equality)],[c_593782,c_593823]) ).
tff(c_593876,plain,
! [Z_1121] : ( multiply(sk_c8,multiply(sk_c5,Z_1121)) = Z_1121 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_593847]) ).
tff(c_595054,plain,
! [Z_1143] : ( multiply(sk_c7,multiply(sk_c5,Z_1143)) = Z_1143 ),
inference(demodulation,[status(thm),theory(equality)],[c_593899,c_593876]) ).
tff(c_595066,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_593969,c_595054]) ).
tff(c_54,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_593806,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_593755,c_54]) ).
tff(c_595131,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_593806,c_595077]) ).
tff(c_595165,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_595066,c_592403,c_595131]) ).
tff(c_595183,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_595163,c_595165]) ).
tff(c_594128,plain,
! [X_1127,Z_1128] : ( multiply(inverse(X_1127),multiply(X_1127,Z_1128)) = Z_1128 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_593868]) ).
tff(c_594176,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_593973,c_594128]) ).
tff(c_594226,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_594176]) ).
tff(c_594091,plain,
! [Z_1126] : ( multiply(sk_c7,multiply(sk_c5,Z_1126)) = Z_1126 ),
inference(demodulation,[status(thm),theory(equality)],[c_593899,c_593876]) ).
tff(c_594106,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_593969,c_594091]) ).
tff(c_594191,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_593806,c_594128]) ).
tff(c_594228,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_594106,c_592403,c_594191]) ).
tff(c_594251,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_594226,c_594228]) ).
tff(c_594628,plain,
! [X_1132,Z_1133] : ( multiply(inverse(inverse(X_1132)),Z_1133) = multiply(X_1132,Z_1133) ),
inference(superposition,[status(thm),theory(equality)],[c_593881,c_594128]) ).
tff(c_594212,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_594128]) ).
tff(c_594635,plain,
! [X_1132] : ( multiply(X_1132,identity) = X_1132 ),
inference(superposition,[status(thm),theory(equality)],[c_594628,c_594212]) ).
tff(c_593912,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_593899,c_110]) ).
tff(c_593910,plain,
multiply(sk_c1,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_593899,c_592412]) ).
tff(c_593901,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_593763,c_80]) ).
tff(c_593902,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_593901]) ).
tff(c_593946,plain,
! [X4_1123] :
( ( inverse(X4_1123) != sk_c7 )
| ( multiply(X4_1123,sk_c7) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_593899,c_593899,c_593902]) ).
tff(c_593949,plain,
inverse(sk_c1) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_593910,c_593946]) ).
tff(c_593965,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_593912,c_593949]) ).
tff(c_593966,plain,
! [X6_7,X1_9,X2_10,X3_8] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_593901]) ).
tff(c_594025,plain,
! [X6_7,X1_9,X2_10,X3_8] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_593899,c_593899,c_593899,c_593899,c_593966]) ).
tff(c_594026,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_594025]) ).
tff(c_595020,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_594251,c_594635,c_594251,c_594226,c_594026]) ).
tff(c_593754,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_594240,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_594226,c_593754]) ).
tff(c_594317,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_594240,c_4]) ).
tff(c_594355,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_594317,c_593881]) ).
tff(c_594367,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_594355]) ).
tff(c_594371,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_594367,c_594240]) ).
tff(c_595022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_595020,c_594371]) ).
tff(c_595023,plain,
! [X2_10,X1_9,X6_7] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_594025]) ).
tff(c_603656,plain,
! [X2_10,X1_9,X6_7] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_595571,c_595183,c_595163,c_2,c_595163,c_595163,c_595571,c_595183,c_595163,c_595163,c_595571,c_595183,c_595183,c_595183,c_595023]) ).
tff(c_603658,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_603656]) ).
tff(c_593976,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_593899,c_110]) ).
tff(c_595190,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_595183,c_593976]) ).
tff(c_595267,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_595190,c_4]) ).
tff(c_595313,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_595267,c_593881]) ).
tff(c_595325,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_595313]) ).
tff(c_595330,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_595325,c_595190]) ).
tff(c_603660,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_603658,c_595330]) ).
tff(c_603661,plain,
! [X1_9,X2_10] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_603656]) ).
tff(c_603663,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_603661]) ).
tff(c_603665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_603663,c_595330]) ).
tff(c_603994,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_603661]) ).
tff(c_603996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_603994,c_595330]) ).
tff(c_603998,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_604029,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_603998,c_12]) ).
tff(c_603997,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_604002,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_603997,c_4]) ).
tff(c_604059,plain,
! [X_1243,Y_1244,Z_1245] : ( multiply(multiply(X_1243,Y_1244),Z_1245) = multiply(X_1243,multiply(Y_1244,Z_1245)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_604083,plain,
! [Z_1245] : ( multiply(sk_c8,multiply(sk_c5,Z_1245)) = multiply(identity,Z_1245) ),
inference(superposition,[status(thm),theory(equality)],[c_604002,c_604059]) ).
tff(c_604244,plain,
! [Z_1251] : ( multiply(sk_c8,multiply(sk_c5,Z_1251)) = Z_1251 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_604083]) ).
tff(c_604259,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_604029,c_604244]) ).
tff(c_604101,plain,
! [X_2,Z_1245] : ( multiply(inverse(X_2),multiply(X_2,Z_1245)) = multiply(identity,Z_1245) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_604059]) ).
tff(c_604281,plain,
! [X_1252,Z_1253] : ( multiply(inverse(X_1252),multiply(X_1252,Z_1253)) = Z_1253 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_604101]) ).
tff(c_604302,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_604259,c_604281]) ).
tff(c_604391,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_604302]) ).
tff(c_604034,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_592404,c_56]) ).
tff(c_593759,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_593754,c_4]) ).
tff(c_604086,plain,
! [Z_1245] : ( multiply(sk_c9,multiply(sk_c4,Z_1245)) = multiply(identity,Z_1245) ),
inference(superposition,[status(thm),theory(equality)],[c_593759,c_604059]) ).
tff(c_604177,plain,
! [Z_1249] : ( multiply(sk_c9,multiply(sk_c4,Z_1249)) = Z_1249 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_604086]) ).
tff(c_604189,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_604034,c_604177]) ).
tff(c_604317,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_604189,c_604281]) ).
tff(c_604394,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_604317]) ).
tff(c_604095,plain,
! [Z_1245] : ( multiply(sk_c8,multiply(sk_c1,Z_1245)) = multiply(identity,Z_1245) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_604059]) ).
tff(c_604116,plain,
! [Z_1246] : ( multiply(sk_c8,multiply(sk_c1,Z_1246)) = Z_1246 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_604095]) ).
tff(c_604128,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_592412,c_604116]) ).
tff(c_604132,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_604128,c_603998]) ).
tff(c_604433,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_604394,c_604132]) ).
tff(c_604489,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_604391,c_604433]) ).
tff(c_604490,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_604495,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_604490,c_4]) ).
tff(c_604572,plain,
! [X_1255,Y_1256,Z_1257] : ( multiply(multiply(X_1255,Y_1256),Z_1257) = multiply(X_1255,multiply(Y_1256,Z_1257)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_604605,plain,
! [Z_1257] : ( multiply(sk_c9,multiply(sk_c4,Z_1257)) = multiply(identity,Z_1257) ),
inference(superposition,[status(thm),theory(equality)],[c_604495,c_604572]) ).
tff(c_605343,plain,
! [Z_1273] : ( multiply(sk_c9,multiply(sk_c4,Z_1273)) = Z_1273 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_604605]) ).
tff(c_605358,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_604565,c_605343]) ).
tff(c_604617,plain,
! [X_2,Z_1257] : ( multiply(inverse(X_2),multiply(X_2,Z_1257)) = multiply(identity,Z_1257) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_604572]) ).
tff(c_605505,plain,
! [X_1278,Z_1279] : ( multiply(inverse(X_1278),multiply(X_1278,Z_1279)) = Z_1279 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_604617]) ).
tff(c_605541,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_605358,c_605505]) ).
tff(c_605619,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_605541]) ).
tff(c_605861,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_605619,c_114]) ).
tff(c_604630,plain,
! [X_2,Z_1257] : ( multiply(inverse(X_2),multiply(X_2,Z_1257)) = Z_1257 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_604617]) ).
tff(c_606091,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_605861,c_604630]) ).
tff(c_606103,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_606091]) ).
tff(c_604548,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_592404,c_60]) ).
tff(c_604521,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_592404,c_62]) ).
tff(c_604525,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_604521,c_4]) ).
tff(c_604599,plain,
! [Z_1257] : ( multiply(sk_c8,multiply(sk_c5,Z_1257)) = multiply(identity,Z_1257) ),
inference(superposition,[status(thm),theory(equality)],[c_604525,c_604572]) ).
tff(c_605295,plain,
! [Z_1271] : ( multiply(sk_c8,multiply(sk_c5,Z_1271)) = Z_1271 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_604599]) ).
tff(c_605307,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_604548,c_605295]) ).
tff(c_605550,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_605307,c_605505]) ).
tff(c_605620,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_605550]) ).
tff(c_604558,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_592404,c_66]) ).
tff(c_592408,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_592403,c_4]) ).
tff(c_604608,plain,
! [Z_1257] : ( multiply(sk_c7,multiply(sk_c6,Z_1257)) = multiply(identity,Z_1257) ),
inference(superposition,[status(thm),theory(equality)],[c_592408,c_604572]) ).
tff(c_605473,plain,
! [Z_1277] : ( multiply(sk_c7,multiply(sk_c6,Z_1277)) = Z_1277 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_604608]) ).
tff(c_605485,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_604558,c_605473]) ).
tff(c_605869,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_605620,c_605620,c_605485]) ).
tff(c_605874,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_605869]) ).
tff(c_604491,plain,
multiply(sk_c1,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_605860,plain,
multiply(sk_c1,identity) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_605619,c_604491]) ).
tff(c_606121,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_606103,c_605874,c_605860]) ).
tff(c_606123,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_606177,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_606123,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_606136,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_606123,c_38]) ).
tff(c_606140,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_606136,c_4]) ).
tff(c_606229,plain,
! [Z_1287] : ( multiply(sk_c8,multiply(sk_c5,Z_1287)) = multiply(identity,Z_1287) ),
inference(superposition,[status(thm),theory(equality)],[c_606140,c_606202]) ).
tff(c_606288,plain,
! [Z_1290] : ( multiply(sk_c8,multiply(sk_c5,Z_1290)) = Z_1290 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_606229]) ).
tff(c_606300,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_606177,c_606288]) ).
tff(c_606646,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_606300,c_606619]) ).
tff(c_606705,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_606646]) ).
tff(c_42,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_606184,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_606123,c_42]) ).
tff(c_40,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_606148,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_606123,c_40]) ).
tff(c_606152,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_606148,c_4]) ).
tff(c_606226,plain,
! [Z_1287] : ( multiply(sk_c7,multiply(sk_c6,Z_1287)) = multiply(identity,Z_1287) ),
inference(superposition,[status(thm),theory(equality)],[c_606152,c_606202]) ).
tff(c_606252,plain,
! [Z_1288] : ( multiply(sk_c7,multiply(sk_c6,Z_1288)) = Z_1288 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_606226]) ).
tff(c_606264,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_606184,c_606252]) ).
tff(c_606762,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_606705,c_606705,c_606264]) ).
tff(c_606767,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_606762]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_606171,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_606123,c_32]) ).
tff(c_606122,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_606127,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_606122,c_4]) ).
tff(c_606232,plain,
! [Z_1287] : ( multiply(sk_c9,multiply(sk_c4,Z_1287)) = multiply(identity,Z_1287) ),
inference(superposition,[status(thm),theory(equality)],[c_606127,c_606202]) ).
tff(c_606596,plain,
! [Z_1295] : ( multiply(sk_c9,multiply(sk_c4,Z_1295)) = Z_1295 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_606232]) ).
tff(c_606608,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_606171,c_606596]) ).
tff(c_606637,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_606608,c_606619]) ).
tff(c_606704,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_606637]) ).
tff(c_606399,plain,
! [X_1293,Z_1294] : ( multiply(inverse(X_1293),multiply(X_1293,Z_1294)) = Z_1294 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_606238]) ).
tff(c_606429,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_606300,c_606399]) ).
tff(c_606464,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_606429]) ).
tff(c_606335,plain,
! [Z_1292] : ( multiply(sk_c5,multiply(sk_c8,Z_1292)) = multiply(sk_c7,Z_1292) ),
inference(superposition,[status(thm),theory(equality)],[c_606177,c_606202]) ).
tff(c_606350,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_606300,c_606335]) ).
tff(c_606360,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_606264,c_606177,c_606350]) ).
tff(c_606311,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_606363,plain,
multiply(sk_c8,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_606360,c_606311]) ).
tff(c_606372,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_606300,c_606363]) ).
tff(c_606471,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_606464,c_606372]) ).
tff(c_606312,plain,
! [Z_1291] : ( multiply(sk_c9,multiply(sk_c4,Z_1291)) = Z_1291 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_606232]) ).
tff(c_606324,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_606171,c_606312]) ).
tff(c_606361,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_606360,c_606360,c_606324]) ).
tff(c_606585,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_606464,c_2,c_606464,c_606361]) ).
tff(c_606586,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_606471,c_606585]) ).
tff(c_606587,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_606792,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X4_11) != identity )
| ( multiply(X4_11,identity) != identity )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity )
| ( inverse(X1_9) != identity )
| ( multiply(X1_9,identity) != identity )
| ( inverse(X2_10) != identity )
| ( multiply(X2_10,identity) != identity )
| ( multiply(X3_8,identity) != identity )
| ( inverse(X3_8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_606705,c_606767,c_606705,c_606705,c_606704,c_606704,c_606767,c_606704,c_606767,c_606767,c_2,c_606767,c_606704,c_606767,c_606767,c_606704,c_606704,c_606587]) ).
tff(c_606793,plain,
! [X3_8] :
( ( multiply(X3_8,identity) != identity )
| ( inverse(X3_8) != identity ) ),
inference(splitLeft,[status(thm)],[c_606792]) ).
tff(c_607420,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_607042,c_606793]) ).
tff(c_606777,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_606767,c_97]) ).
tff(c_606800,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_606777,c_4]) ).
tff(c_606827,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_606800,c_606250]) ).
tff(c_606839,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_606827]) ).
tff(c_606843,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_606839,c_606777]) ).
tff(c_607422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_607420,c_606843]) ).
tff(c_607423,plain,
! [X2_10,X1_9,X6_7,X4_11] :
( ( inverse(X2_10) != identity )
| ( multiply(X2_10,identity) != identity )
| ( inverse(X1_9) != identity )
| ( multiply(X1_9,identity) != identity )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity )
| ( inverse(X4_11) != identity )
| ( multiply(X4_11,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_606792]) ).
tff(c_630869,plain,
! [X2_10,X1_9,X6_7,X4_11] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_607647,c_607647,c_607647,c_607647,c_607423]) ).
tff(c_630871,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_630869]) ).
tff(c_606700,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_606619]) ).
tff(c_606755,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_606704,c_606140]) ).
tff(c_607476,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_606755,c_606250]) ).
tff(c_607488,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_606700,c_607476]) ).
tff(c_606756,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_606704,c_606136]) ).
tff(c_607492,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_607488,c_606756]) ).
tff(c_630873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_630871,c_607492]) ).
tff(c_630874,plain,
! [X6_7,X1_9,X2_10] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_630869]) ).
tff(c_632031,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_630874]) ).
tff(c_632033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_632031,c_607492]) ).
tff(c_632034,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_630874]) ).
tff(c_632036,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_632034]) ).
tff(c_632038,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_632036,c_607492]) ).
tff(c_633356,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_632034]) ).
tff(c_633358,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_633356,c_607492]) ).
tff(c_633360,plain,
inverse(sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_68,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_633412,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_633360,c_68]) ).
tff(c_70,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_633393,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_633360,c_70]) ).
tff(c_633397,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_633393,c_4]) ).
tff(c_633479,plain,
! [Z_1494] : ( multiply(sk_c9,multiply(sk_c4,Z_1494)) = multiply(identity,Z_1494) ),
inference(superposition,[status(thm),theory(equality)],[c_633397,c_633452]) ).
tff(c_633502,plain,
! [Z_1495] : ( multiply(sk_c9,multiply(sk_c4,Z_1495)) = Z_1495 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633479]) ).
tff(c_633514,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_633412,c_633502]) ).
tff(c_634633,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_633514,c_634591]) ).
tff(c_634688,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_634633]) ).
tff(c_72,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_633430,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_633360,c_72]) ).
tff(c_633359,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_633364,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_633359,c_4]) ).
tff(c_633485,plain,
! [Z_1494] : ( multiply(sk_c8,multiply(sk_c5,Z_1494)) = multiply(identity,Z_1494) ),
inference(superposition,[status(thm),theory(equality)],[c_633364,c_633452]) ).
tff(c_633999,plain,
! [Z_1503] : ( multiply(sk_c8,multiply(sk_c5,Z_1503)) = Z_1503 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633485]) ).
tff(c_634011,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_633430,c_633999]) ).
tff(c_634627,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_634011,c_634591]) ).
tff(c_634687,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_634627]) ).
tff(c_78,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_633424,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_633360,c_78]) ).
tff(c_76,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_633372,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_633360,c_76]) ).
tff(c_633376,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_633372,c_4]) ).
tff(c_633482,plain,
! [Z_1494] : ( multiply(sk_c7,multiply(sk_c6,Z_1494)) = multiply(identity,Z_1494) ),
inference(superposition,[status(thm),theory(equality)],[c_633376,c_633452]) ).
tff(c_634514,plain,
! [Z_1515] : ( multiply(sk_c7,multiply(sk_c6,Z_1515)) = Z_1515 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633482]) ).
tff(c_634526,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_633424,c_634514]) ).
tff(c_634696,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_634687,c_634687,c_634526]) ).
tff(c_634704,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_634696]) ).
tff(c_635004,plain,
! [X_1522,Z_1523] : ( multiply(inverse(inverse(X_1522)),Z_1523) = multiply(X_1522,Z_1523) ),
inference(superposition,[status(thm),theory(equality)],[c_633500,c_634591]) ).
tff(c_635011,plain,
! [X_1522] : ( multiply(X_1522,identity) = X_1522 ),
inference(superposition,[status(thm),theory(equality)],[c_635004,c_634678]) ).
tff(c_633526,plain,
! [Z_1496] : ( multiply(sk_c8,multiply(sk_c5,Z_1496)) = Z_1496 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633485]) ).
tff(c_633538,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_633430,c_633526]) ).
tff(c_633613,plain,
! [X_1499,Z_1500] : ( multiply(inverse(X_1499),multiply(X_1499,Z_1500)) = Z_1500 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633488]) ).
tff(c_633643,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_633538,c_633613]) ).
tff(c_633702,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_633643]) ).
tff(c_633590,plain,
! [Z_1498] : ( multiply(sk_c7,multiply(sk_c6,Z_1498)) = Z_1498 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633482]) ).
tff(c_633602,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_633424,c_633590]) ).
tff(c_633711,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_633702,c_633702,c_633602]) ).
tff(c_633719,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633711]) ).
tff(c_633652,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_633514,c_633613]) ).
tff(c_633704,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_633652]) ).
tff(c_633518,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_633714,plain,
multiply(sk_c8,sk_c9) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_633702,c_633518]) ).
tff(c_633982,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_633719,c_2,c_633704,c_633714]) ).
tff(c_633983,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_634097,plain,
! [X3_1507] :
( ( multiply(X3_1507,sk_c9) != sk_c7 )
| ( inverse(X3_1507) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_633983]) ).
tff(c_634107,plain,
inverse(sk_c6) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_633424,c_634097]) ).
tff(c_634123,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_633372,c_634107]) ).
tff(c_634124,plain,
! [X2_10,X1_9,X6_7,X4_11] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_633983]) ).
tff(c_634210,plain,
! [X4_1511] :
( ( inverse(X4_1511) != sk_c8 )
| ( multiply(X4_1511,sk_c8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_634124]) ).
tff(c_634227,plain,
( ( inverse(inverse(sk_c8)) != sk_c8 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_634210]) ).
tff(c_634236,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_634227]) ).
tff(c_634278,plain,
! [X_1513,Z_1514] : ( multiply(inverse(X_1513),multiply(X_1513,Z_1514)) = Z_1514 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633488]) ).
tff(c_634323,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_634011,c_634278]) ).
tff(c_634384,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_634323]) ).
tff(c_634133,plain,
! [Z_1508] : ( multiply(sk_c7,multiply(sk_c6,Z_1508)) = Z_1508 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_633482]) ).
tff(c_634145,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_633424,c_634133]) ).
tff(c_634397,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_634384,c_634384,c_634145]) ).
tff(c_634407,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_634397]) ).
tff(c_634409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_634236,c_634407]) ).
tff(c_634411,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_634227]) ).
tff(c_634231,plain,
( ( inverse(identity) != sk_c8 )
| ( sk_c9 != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_634210]) ).
tff(c_634235,plain,
sk_c9 != sk_c8,
inference(splitLeft,[status(thm)],[c_634231]) ).
tff(c_634412,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_634411,c_634235]) ).
tff(c_634424,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_634411,c_633393]) ).
tff(c_634434,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_634424,c_4]) ).
tff(c_634444,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_634434,c_2]) ).
tff(c_634422,plain,
multiply(sk_c4,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_634411,c_633412]) ).
tff(c_634472,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_634444,c_634422]) ).
tff(c_634473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_634412,c_634472]) ).
tff(c_634475,plain,
sk_c9 = sk_c8,
inference(splitRight,[status(thm)],[c_634231]) ).
tff(c_634223,plain,
( ( inverse(sk_c5) != sk_c8 )
| ( sk_c9 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_633430,c_634210]) ).
tff(c_634234,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_633359,c_634223]) ).
tff(c_634477,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_634475,c_634234]) ).
tff(c_633984,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_634482,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_634475,c_633984]) ).
tff(c_634169,plain,
! [Z_1510] : ( multiply(sk_c4,multiply(sk_c9,Z_1510)) = multiply(sk_c8,Z_1510) ),
inference(superposition,[status(thm),theory(equality)],[c_633412,c_633452]) ).
tff(c_634184,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_633514,c_634169]) ).
tff(c_634194,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_633412,c_634184]) ).
tff(c_634510,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_634482,c_634194]) ).
tff(c_634512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_634477,c_634510]) ).
tff(c_634513,plain,
! [X6_7,X1_9,X2_10] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_634124]) ).
tff(c_634709,plain,
! [X6_7,X1_9,X2_10] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_634687,c_634513]) ).
tff(c_634710,plain,
! [X2_10] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != identity ) ),
inference(splitLeft,[status(thm)],[c_634709]) ).
tff(c_635390,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_635011,c_634688,c_634688,c_634710]) ).
tff(c_634702,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_634687,c_633376]) ).
tff(c_634818,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_634702,c_633500]) ).
tff(c_634830,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_634818]) ).
tff(c_634703,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_634687,c_633372]) ).
tff(c_634834,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_634830,c_634703]) ).
tff(c_635392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_635390,c_634834]) ).
tff(c_635393,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_634709]) ).
tff(c_645455,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_635650,c_634688,c_634704,c_2,c_634704,c_634704,c_635650,c_634688,c_634704,c_634704,c_635393]) ).
tff(c_645457,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_645455]) ).
tff(c_635428,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_634703,c_4]) ).
tff(c_635445,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_635428,c_633500]) ).
tff(c_635457,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_635445]) ).
tff(c_635461,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_635457,c_634703]) ).
tff(c_645459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_645457,c_635461]) ).
tff(c_645461,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_645455]) ).
tff(c_645463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_645461,c_635461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP319-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 22:09:18 EDT 2023
% 0.14/0.34 % CPUTime :
% 206.37/176.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 206.37/176.73
% 206.37/176.73 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 206.76/176.81
% 206.76/176.81 Inference rules
% 206.76/176.81 ----------------------
% 206.76/176.81 #Ref : 0
% 206.76/176.81 #Sup : 151983
% 206.76/176.81 #Fact : 0
% 206.76/176.81 #Define : 0
% 206.76/176.81 #Split : 55
% 206.76/176.81 #Chain : 0
% 206.76/176.81 #Close : 0
% 206.76/176.81
% 206.76/176.81 Ordering : KBO
% 206.76/176.81
% 206.76/176.81 Simplification rules
% 206.76/176.81 ----------------------
% 206.76/176.81 #Subsume : 16
% 206.76/176.81 #Demod : 991727
% 206.76/176.81 #Tautology : 126790
% 206.76/176.81 #SimpNegUnit : 133
% 206.76/176.81 #BackRed : 818
% 206.76/176.81
% 206.76/176.81 #Partial instantiations: 0
% 206.76/176.81 #Strategies tried : 1
% 206.76/176.81
% 206.76/176.81 Timing (in seconds)
% 206.76/176.81 ----------------------
% 206.76/176.81 Preprocessing : 0.52
% 206.76/176.81 Parsing : 0.21
% 206.76/176.81 CNF conversion : 0.03
% 206.76/176.81 Main loop : 175.13
% 206.76/176.81 Inferencing : 19.90
% 206.76/176.81 Reduction : 142.83
% 206.76/176.81 Demodulation : 140.12
% 206.76/176.81 BG Simplification : 1.21
% 206.76/176.81 Subsumption : 9.03
% 206.76/176.81 Abstraction : 6.45
% 206.76/176.81 MUC search : 0.00
% 206.76/176.81 Cooper : 0.00
% 206.76/176.81 Total : 175.82
% 206.76/176.81 Index Insertion : 0.00
% 206.76/176.81 Index Deletion : 0.00
% 206.76/176.81 Index Matching : 0.00
% 206.76/176.81 BG Taut test : 0.00
%------------------------------------------------------------------------------