TSTP Solution File: GRP233-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP233-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n013.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 10:40:34 EDT 2023
% Result : Unsatisfiable 11.05s 3.85s
% Output : CNFRefutation 11.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 43
% Syntax : Number of formulae : 604 ( 489 unt; 11 typ; 0 def)
% Number of atoms : 787 ( 758 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 431 ( 237 ~; 194 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 255 (; 255 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > 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_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( inverse(sk_c8) != sk_c7 )
| ( multiply(X4,sk_c8) != sk_c7 )
| ( inverse(X4) != sk_c8 )
| ( multiply(sk_c8,X5) != sk_c7 )
| ( multiply(X6,sk_c8) != X5 )
| ( inverse(X6) != sk_c8 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(sk_c8,X2) != sk_c7 )
| ( multiply(X3,sk_c8) != X2 )
| ( inverse(X3) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_36,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_97,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_101,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_111,plain,
inverse(sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_115,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_111,c_4]) ).
tff(c_11829,plain,
! [X_186,Y_187,Z_188] : ( multiply(multiply(X_186,Y_187),Z_188) = multiply(X_186,multiply(Y_187,Z_188)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11859,plain,
! [Z_188] : ( multiply(sk_c7,multiply(sk_c8,Z_188)) = multiply(identity,Z_188) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_11829]) ).
tff(c_11912,plain,
! [Z_191] : ( multiply(sk_c7,multiply(sk_c8,Z_191)) = Z_191 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11859]) ).
tff(c_11939,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_11912]) ).
tff(c_68,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 )
| ( inverse(sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_11884,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_68]) ).
tff(c_12009,plain,
! [X4_193] :
( ( inverse(X4_193) != sk_c8 )
| ( multiply(X4_193,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_11884]) ).
tff(c_12024,plain,
( ( inverse(identity) != sk_c8 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_12009]) ).
tff(c_12044,plain,
sk_c8 != sk_c7,
inference(splitLeft,[status(thm)],[c_12024]) ).
tff(c_11640,plain,
! [X_181,Y_182,Z_183] : ( multiply(multiply(X_181,Y_182),Z_183) = multiply(X_181,multiply(Y_182,Z_183)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11673,plain,
! [Z_183] : ( multiply(sk_c7,multiply(sk_c8,Z_183)) = multiply(identity,Z_183) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_11640]) ).
tff(c_11697,plain,
! [Z_184] : ( multiply(sk_c7,multiply(sk_c8,Z_184)) = Z_184 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11673]) ).
tff(c_11721,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_11697]) ).
tff(c_11017,plain,
! [X_169,Y_170,Z_171] : ( multiply(multiply(X_169,Y_170),Z_171) = multiply(X_169,multiply(Y_170,Z_171)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11053,plain,
! [Z_171] : ( multiply(sk_c7,multiply(sk_c8,Z_171)) = multiply(identity,Z_171) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_11017]) ).
tff(c_11077,plain,
! [Z_172] : ( multiply(sk_c7,multiply(sk_c8,Z_172)) = Z_172 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11053]) ).
tff(c_11101,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_11077]) ).
tff(c_11124,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_68]) ).
tff(c_11170,plain,
! [X4_173] :
( ( inverse(X4_173) != sk_c8 )
| ( multiply(X4_173,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_11124]) ).
tff(c_11185,plain,
( ( inverse(identity) != sk_c8 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_11170]) ).
tff(c_11200,plain,
sk_c8 != sk_c7,
inference(splitLeft,[status(thm)],[c_11185]) ).
tff(c_44,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_10992,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_66,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_89,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_11104,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_11077]) ).
tff(c_11126,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11101,c_11104]) ).
tff(c_48,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_10955,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_11127,plain,
multiply(sk_c1,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11126,c_10955]) ).
tff(c_11062,plain,
! [X_2,Z_171] : ( multiply(inverse(X_2),multiply(X_2,Z_171)) = multiply(identity,Z_171) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11017]) ).
tff(c_11203,plain,
! [X_174,Z_175] : ( multiply(inverse(X_174),multiply(X_174,Z_175)) = Z_175 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11062]) ).
tff(c_11221,plain,
multiply(inverse(sk_c1),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11127,c_11203]) ).
tff(c_11261,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10992,c_97,c_11221]) ).
tff(c_11263,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11200,c_11261]) ).
tff(c_11265,plain,
sk_c8 = sk_c7,
inference(splitRight,[status(thm)],[c_11185]) ).
tff(c_11272,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11265,c_111]) ).
tff(c_11282,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11272,c_4]) ).
tff(c_11092,plain,
multiply(sk_c7,sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_10992,c_11077]) ).
tff(c_11293,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11282,c_11092]) ).
tff(c_11270,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11265,c_10992]) ).
tff(c_11313,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11101,c_11293,c_11270]) ).
tff(c_10252,plain,
! [X_153,Y_154,Z_155] : ( multiply(multiply(X_153,Y_154),Z_155) = multiply(X_153,multiply(Y_154,Z_155)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10285,plain,
! [Z_155] : ( multiply(sk_c7,multiply(sk_c8,Z_155)) = multiply(identity,Z_155) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_10252]) ).
tff(c_10525,plain,
! [Z_162] : ( multiply(sk_c7,multiply(sk_c8,Z_162)) = Z_162 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10285]) ).
tff(c_10546,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_10525]) ).
tff(c_9563,plain,
! [X_141,Y_142,Z_143] : ( multiply(multiply(X_141,Y_142),Z_143) = multiply(X_141,multiply(Y_142,Z_143)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9599,plain,
! [Z_143] : ( multiply(sk_c7,multiply(sk_c8,Z_143)) = multiply(identity,Z_143) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_9563]) ).
tff(c_9623,plain,
! [Z_144] : ( multiply(sk_c7,multiply(sk_c8,Z_144)) = Z_144 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9599]) ).
tff(c_9644,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_9623]) ).
tff(c_9647,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_9623]) ).
tff(c_9731,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9644,c_9647]) ).
tff(c_132,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_9732,plain,
multiply(sk_c1,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_9731,c_132]) ).
tff(c_18,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_127,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_9741,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_9732,c_127]) ).
tff(c_46,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_9517,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_161,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_194,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_161]) ).
tff(c_1755,plain,
! [X_50,Z_51] : ( multiply(inverse(X_50),multiply(X_50,Z_51)) = Z_51 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_194]) ).
tff(c_205,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_194]) ).
tff(c_1875,plain,
! [X_53,Z_54] : ( multiply(inverse(inverse(X_53)),Z_54) = multiply(X_53,Z_54) ),
inference(superposition,[status(thm),theory(equality)],[c_1755,c_205]) ).
tff(c_1791,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1755]) ).
tff(c_1882,plain,
! [X_53] : ( multiply(X_53,identity) = X_53 ),
inference(superposition,[status(thm),theory(equality)],[c_1875,c_1791]) ).
tff(c_185,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c8,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_161]) ).
tff(c_207,plain,
! [Z_17] : ( multiply(sk_c7,multiply(sk_c8,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_185]) ).
tff(c_222,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_207]) ).
tff(c_225,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_207]) ).
tff(c_355,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_222,c_225]) ).
tff(c_356,plain,
multiply(sk_c1,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_355,c_132]) ).
tff(c_365,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_356,c_127]) ).
tff(c_38,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_144,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_393,plain,
multiply(sk_c8,sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_365,c_144]) ).
tff(c_188,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_161]) ).
tff(c_1668,plain,
! [Z_48] : ( multiply(sk_c8,multiply(sk_c1,Z_48)) = Z_48 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_188]) ).
tff(c_1680,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_356,c_1668]) ).
tff(c_1684,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_393,c_1680]) ).
tff(c_394,plain,
multiply(sk_c3,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_365,c_115]) ).
tff(c_1715,plain,
multiply(sk_c3,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1684,c_394]) ).
tff(c_219,plain,
multiply(sk_c7,sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_144,c_207]) ).
tff(c_391,plain,
multiply(sk_c3,sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_365,c_365,c_219]) ).
tff(c_1746,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1715,c_391]) ).
tff(c_1805,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1746,c_1684]) ).
tff(c_527,plain,
! [X_23,Z_24] : ( multiply(inverse(X_23),multiply(X_23,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_194]) ).
tff(c_647,plain,
! [X_26,Z_27] : ( multiply(inverse(inverse(X_26)),Z_27) = multiply(X_26,Z_27) ),
inference(superposition,[status(thm),theory(equality)],[c_527,c_205]) ).
tff(c_563,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_527]) ).
tff(c_654,plain,
! [X_26] : ( multiply(X_26,identity) = X_26 ),
inference(superposition,[status(thm),theory(equality)],[c_647,c_563]) ).
tff(c_440,plain,
! [Z_21] : ( multiply(sk_c8,multiply(sk_c1,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_188]) ).
tff(c_452,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_356,c_440]) ).
tff(c_456,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_393,c_452]) ).
tff(c_487,plain,
multiply(sk_c3,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_456,c_394]) ).
tff(c_518,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_487,c_391]) ).
tff(c_577,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_518,c_456]) ).
tff(c_247,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_222,c_225]) ).
tff(c_248,plain,
multiply(sk_c1,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_247,c_132]) ).
tff(c_257,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_248,c_127]) ).
tff(c_237,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_68]) ).
tff(c_238,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_237]) ).
tff(c_323,plain,
! [X4_19] :
( ( inverse(X4_19) != sk_c8 )
| ( multiply(X4_19,sk_c8) != sk_c3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_257,c_238]) ).
tff(c_329,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_248,c_323]) ).
tff(c_345,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_329]) ).
tff(c_346,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_237]) ).
tff(c_430,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c3 )
| ( multiply(X1_9,sk_c3) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365,c_365,c_365,c_346]) ).
tff(c_431,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c3 ) ),
inference(splitLeft,[status(thm)],[c_430]) ).
tff(c_1656,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_654,c_577,c_2,c_577,c_518,c_577,c_431]) ).
tff(c_395,plain,
inverse(sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_365,c_111]) ).
tff(c_488,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_456,c_395]) ).
tff(c_576,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_518,c_518,c_488]) ).
tff(c_1658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1656,c_576]) ).
tff(c_1659,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c3) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c3 ) ),
inference(splitRight,[status(thm)],[c_430]) ).
tff(c_9499,plain,
! [X1_9,X6_7] :
( ( identity != X1_9 )
| ( inverse(X1_9) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1882,c_1805,c_2,c_1805,c_1746,c_1805,c_1805,c_1882,c_1805,c_1746,c_1659]) ).
tff(c_9501,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9499]) ).
tff(c_1716,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_1684,c_395]) ).
tff(c_1804,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1746,c_1746,c_1716]) ).
tff(c_9503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9501,c_1804]) ).
tff(c_9505,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_9499]) ).
tff(c_9507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9505,c_1804]) ).
tff(c_9509,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_9523,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9517,c_9509]) ).
tff(c_9525,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_9779,plain,
multiply(sk_c8,sk_c3) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_9741,c_9525]) ).
tff(c_9775,plain,
multiply(sk_c3,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9741,c_9644]) ).
tff(c_9524,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_9529,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9524,c_4]) ).
tff(c_9641,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_9529,c_9623]) ).
tff(c_9853,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9775,c_9741,c_9641]) ).
tff(c_9549,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_9525,c_44]) ).
tff(c_9854,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9853,c_9549]) ).
tff(c_9857,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_9732,c_9854]) ).
tff(c_42,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_9557,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9525,c_42]) ).
tff(c_9777,plain,
multiply(sk_c8,sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_9741,c_9557]) ).
tff(c_9865,plain,
multiply(sk_c8,sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_9857,c_9777]) ).
tff(c_9867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9779,c_9865]) ).
tff(c_9869,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_56,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_9882,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_9869,c_56]) ).
tff(c_9886,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9882,c_4]) ).
tff(c_10540,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_9886,c_10525]) ).
tff(c_10727,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10546,c_10540]) ).
tff(c_9927,plain,
! [X_147,Y_148,Z_149] : ( multiply(multiply(X_147,Y_148),Z_149) = multiply(X_147,multiply(Y_148,Z_149)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9963,plain,
! [Z_149] : ( multiply(sk_c7,multiply(sk_c8,Z_149)) = multiply(identity,Z_149) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_9927]) ).
tff(c_9987,plain,
! [Z_150] : ( multiply(sk_c7,multiply(sk_c8,Z_150)) = Z_150 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9963]) ).
tff(c_10011,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_9987]) ).
tff(c_10005,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_9886,c_9987]) ).
tff(c_10135,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10011,c_10005]) ).
tff(c_54,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_9904,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_9869,c_54]) ).
tff(c_10136,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10135,c_9904]) ).
tff(c_10155,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10136,c_127]) ).
tff(c_10014,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_9987]) ).
tff(c_10096,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10011,c_10014]) ).
tff(c_10097,plain,
multiply(sk_c1,sk_c8) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10096,c_9869]) ).
tff(c_10100,plain,
sk_c7 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_10097]) ).
tff(c_10163,plain,
sk_c6 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10155,c_10100]) ).
tff(c_9903,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_10002,plain,
multiply(sk_c7,sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_9903,c_9987]) ).
tff(c_10165,plain,
multiply(sk_c6,sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10155,c_10155,c_10002]) ).
tff(c_52,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_9915,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9869,c_52]) ).
tff(c_9999,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9915,c_9987]) ).
tff(c_10194,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10155,c_10155,c_9999]) ).
tff(c_10225,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10165,c_10194]) ).
tff(c_10227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10163,c_10225]) ).
tff(c_10228,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_10728,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10727,c_10228]) ).
tff(c_10840,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10728,c_127]) ).
tff(c_9868,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_9873,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9868,c_4]) ).
tff(c_10543,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_9873,c_10525]) ).
tff(c_10572,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10546,c_10543]) ).
tff(c_50,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_10245,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_9869,c_50]) ).
tff(c_10573,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10572,c_10245]) ).
tff(c_10849,plain,
multiply(sk_c1,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10840,c_10573]) ).
tff(c_10745,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10728,c_127]) ).
tff(c_10229,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_10238,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10229,c_42]) ).
tff(c_10759,plain,
multiply(sk_c8,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10745,c_10238]) ).
tff(c_10590,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10546,c_10540]) ).
tff(c_10591,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10590,c_10228]) ).
tff(c_10626,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10591,c_127]) ).
tff(c_10641,plain,
multiply(sk_c8,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10626,c_10238]) ).
tff(c_10288,plain,
! [Z_155] : ( multiply(sk_c8,multiply(sk_c1,Z_155)) = multiply(identity,Z_155) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_10252]) ).
tff(c_10325,plain,
! [Z_157] : ( multiply(sk_c8,multiply(sk_c1,Z_157)) = Z_157 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10288]) ).
tff(c_10337,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_127,c_10325]) ).
tff(c_10396,plain,
! [Z_159] : ( multiply(sk_c7,multiply(sk_c8,Z_159)) = Z_159 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10285]) ).
tff(c_10408,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10337,c_10396]) ).
tff(c_10433,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_115,c_10408]) ).
tff(c_10426,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_10396]) ).
tff(c_10457,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10433,c_10426]) ).
tff(c_10460,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10457,c_97]) ).
tff(c_10443,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10433,c_111]) ).
tff(c_10310,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_68]) ).
tff(c_10311,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_10310]) ).
tff(c_10467,plain,
! [X4_160] :
( ( inverse(X4_160) != sk_c8 )
| ( multiply(X4_160,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10433,c_10311]) ).
tff(c_10478,plain,
inverse(inverse(sk_c8)) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_4,c_10467]) ).
tff(c_10486,plain,
inverse(identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10443,c_10478]) ).
tff(c_10495,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10460,c_10486]) ).
tff(c_10496,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_10310]) ).
tff(c_10582,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_10496]) ).
tff(c_10664,plain,
! [X3_164] :
( ( inverse(X3_164) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_164,sk_c8)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10626,c_10582]) ).
tff(c_10667,plain,
( ( inverse(sk_c1) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_10591,c_10664]) ).
tff(c_10681,plain,
multiply(sk_c8,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_10667]) ).
tff(c_10718,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10641,c_10681]) ).
tff(c_10719,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_10496]) ).
tff(c_10737,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_10719]) ).
tff(c_10810,plain,
! [X6_166] :
( ( inverse(X6_166) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_166,sk_c8)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10745,c_10737]) ).
tff(c_10816,plain,
( ( inverse(sk_c1) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_10728,c_10810]) ).
tff(c_10831,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10759,c_97,c_10816]) ).
tff(c_10832,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_10719]) ).
tff(c_10904,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c6) != sk_c8 )
| ( inverse(X1_9) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10840,c_10832]) ).
tff(c_10943,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10849,c_10904]) ).
tff(c_10952,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_10943]) ).
tff(c_10954,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_11187,plain,
sk_c7 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_10954]) ).
tff(c_11302,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11293,c_11187]) ).
tff(c_11315,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11313,c_11302]) ).
tff(c_11271,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11265,c_115]) ).
tff(c_11325,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11313,c_11313,c_11271]) ).
tff(c_10953,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_10959,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10953,c_4]) ).
tff(c_11098,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_10959,c_11077]) ).
tff(c_11144,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11101,c_11098]) ).
tff(c_20,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_10997,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10954,c_20]) ).
tff(c_11145,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11144,c_10997]) ).
tff(c_11268,plain,
multiply(sk_c1,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11265,c_11145]) ).
tff(c_11360,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11325,c_11313,c_11313,c_11268]) ).
tff(c_11361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11315,c_11360]) ).
tff(c_11363,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_11387,plain,
! [X_176,Y_177,Z_178] : ( multiply(multiply(X_176,Y_177),Z_178) = multiply(X_176,multiply(Y_177,Z_178)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11420,plain,
! [Z_178] : ( multiply(sk_c7,multiply(sk_c8,Z_178)) = multiply(identity,Z_178) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_11387]) ).
tff(c_11444,plain,
! [Z_179] : ( multiply(sk_c7,multiply(sk_c8,Z_179)) = Z_179 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11420]) ).
tff(c_11465,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_11444]) ).
tff(c_11468,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_11444]) ).
tff(c_11483,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11465,c_11468]) ).
tff(c_11484,plain,
multiply(sk_c1,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11483,c_10955]) ).
tff(c_26,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_10976,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10954,c_26]) ).
tff(c_10980,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10976,c_4]) ).
tff(c_11459,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10980,c_11444]) ).
tff(c_11510,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11465,c_11459]) ).
tff(c_11362,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_11511,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11510,c_11362]) ).
tff(c_11558,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11484,c_11511]) ).
tff(c_22,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_11377,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10954,c_22]) ).
tff(c_11573,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11558,c_11377]) ).
tff(c_11575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11363,c_11573]) ).
tff(c_11577,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_11592,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_11577,c_56]) ).
tff(c_11596,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11592,c_4]) ).
tff(c_11715,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11596,c_11697]) ).
tff(c_11764,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11721,c_11715]) ).
tff(c_11623,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11577,c_54]) ).
tff(c_11765,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11764,c_11623]) ).
tff(c_11724,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_11697]) ).
tff(c_11743,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11721,c_11724]) ).
tff(c_11755,plain,
multiply(sk_c1,sk_c8) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11743,c_11577]) ).
tff(c_11790,plain,
sk_c6 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11765,c_11755]) ).
tff(c_11612,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_11712,plain,
multiply(sk_c7,sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_11612,c_11697]) ).
tff(c_11629,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10954,c_22]) ).
tff(c_11709,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11629,c_11697]) ).
tff(c_11799,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11712,c_11709]) ).
tff(c_11800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11790,c_11799]) ).
tff(c_11801,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_11933,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11596,c_11912]) ).
tff(c_11999,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11939,c_11933]) ).
tff(c_11802,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_11809,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11802,c_44]) ).
tff(c_12000,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11999,c_11809]) ).
tff(c_11862,plain,
! [Z_188] : ( multiply(sk_c8,multiply(sk_c1,Z_188)) = multiply(identity,Z_188) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_11829]) ).
tff(c_11879,plain,
! [Z_188] : ( multiply(sk_c8,multiply(sk_c1,Z_188)) = Z_188 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11862]) ).
tff(c_12034,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_12000,c_11879]) ).
tff(c_12042,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11801,c_12034]) ).
tff(c_12045,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12044,c_12042]) ).
tff(c_12047,plain,
sk_c8 = sk_c7,
inference(splitRight,[status(thm)],[c_12024]) ).
tff(c_12055,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12047,c_115]) ).
tff(c_11930,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11801,c_11912]) ).
tff(c_12094,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12055,c_11930]) ).
tff(c_12054,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12047,c_11801]) ).
tff(c_12103,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12094,c_12054]) ).
tff(c_12106,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11939,c_12103]) ).
tff(c_12027,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12000,c_10954]) ).
tff(c_12104,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12094,c_12027]) ).
tff(c_12127,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12106,c_12104]) ).
tff(c_12056,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12047,c_111]) ).
tff(c_12066,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12056,c_4]) ).
tff(c_12128,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12106,c_12106,c_12066]) ).
tff(c_12116,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12106,c_12047]) ).
tff(c_11581,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10953,c_4]) ).
tff(c_11936,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_11581,c_11912]) ).
tff(c_11989,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11939,c_11936]) ).
tff(c_11816,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10954,c_20]) ).
tff(c_11990,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11989,c_11816]) ).
tff(c_12147,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12128,c_12116,c_12106,c_11990]) ).
tff(c_12148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12127,c_12147]) ).
tff(c_12150,plain,
inverse(sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_12,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_12190,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12150,c_12]) ).
tff(c_14,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_12195,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_12150,c_14]) ).
tff(c_12149,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_12154,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12149,c_4]) ).
tff(c_12210,plain,
! [X_194,Y_195,Z_196] : ( multiply(multiply(X_194,Y_195),Z_196) = multiply(X_194,multiply(Y_195,Z_196)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12237,plain,
! [Z_196] : ( multiply(sk_c8,multiply(sk_c5,Z_196)) = multiply(identity,Z_196) ),
inference(superposition,[status(thm),theory(equality)],[c_12154,c_12210]) ).
tff(c_12322,plain,
! [Z_201] : ( multiply(sk_c8,multiply(sk_c5,Z_201)) = Z_201 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12237]) ).
tff(c_12334,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_12195,c_12322]) ).
tff(c_12338,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12190,c_12334]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_12170,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_12150,c_10]) ).
tff(c_8,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_12162,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_12150,c_8]) ).
tff(c_12166,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12162,c_4]) ).
tff(c_12231,plain,
! [Z_196] : ( multiply(sk_c8,multiply(sk_c4,Z_196)) = multiply(identity,Z_196) ),
inference(superposition,[status(thm),theory(equality)],[c_12166,c_12210]) ).
tff(c_12286,plain,
! [Z_199] : ( multiply(sk_c8,multiply(sk_c4,Z_199)) = Z_199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12231]) ).
tff(c_12298,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12170,c_12286]) ).
tff(c_12340,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12338,c_12338,c_12298]) ).
tff(c_12246,plain,
! [X_2,Z_196] : ( multiply(inverse(X_2),multiply(X_2,Z_196)) = multiply(identity,Z_196) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12210]) ).
tff(c_12258,plain,
! [X_2,Z_196] : ( multiply(inverse(X_2),multiply(X_2,Z_196)) = Z_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12246]) ).
tff(c_12466,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12340,c_12258]) ).
tff(c_12472,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12466]) ).
tff(c_12351,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12338,c_12150]) ).
tff(c_12481,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12472,c_12472,c_12351]) ).
tff(c_12349,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12338,c_12162]) ).
tff(c_12364,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12349,c_4]) ).
tff(c_12531,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12472,c_12364]) ).
tff(c_12482,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12472,c_12349]) ).
tff(c_12532,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12531,c_12482]) ).
tff(c_12557,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12481,c_12532]) ).
tff(c_12559,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_32,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_12608,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12559,c_32]) ).
tff(c_34,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_12601,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_12559,c_34]) ).
tff(c_12558,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_12563,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12558,c_4]) ).
tff(c_12633,plain,
! [X_205,Y_206,Z_207] : ( multiply(multiply(X_205,Y_206),Z_207) = multiply(X_205,multiply(Y_206,Z_207)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12663,plain,
! [Z_207] : ( multiply(sk_c8,multiply(sk_c5,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_12563,c_12633]) ).
tff(c_12960,plain,
! [Z_215] : ( multiply(sk_c8,multiply(sk_c5,Z_215)) = Z_215 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12663]) ).
tff(c_12972,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_12601,c_12960]) ).
tff(c_12976,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12608,c_12972]) ).
tff(c_30,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_12613,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_12559,c_30]) ).
tff(c_28,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_12585,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_12559,c_28]) ).
tff(c_12589,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12585,c_4]) ).
tff(c_12657,plain,
! [Z_207] : ( multiply(sk_c8,multiply(sk_c4,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_12589,c_12633]) ).
tff(c_12816,plain,
! [Z_212] : ( multiply(sk_c8,multiply(sk_c4,Z_212)) = Z_212 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12657]) ).
tff(c_12828,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12613,c_12816]) ).
tff(c_13016,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12976,c_12976,c_12828]) ).
tff(c_12669,plain,
! [X_2,Z_207] : ( multiply(inverse(X_2),multiply(X_2,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12633]) ).
tff(c_14409,plain,
! [X_242,Z_243] : ( multiply(inverse(X_242),multiply(X_242,Z_243)) = Z_243 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12669]) ).
tff(c_14427,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13016,c_14409]) ).
tff(c_14458,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14427]) ).
tff(c_12681,plain,
! [X_2,Z_207] : ( multiply(inverse(X_2),multiply(X_2,Z_207)) = Z_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12669]) ).
tff(c_14598,plain,
! [X_245,Z_246] : ( multiply(inverse(inverse(X_245)),Z_246) = multiply(X_245,Z_246) ),
inference(superposition,[status(thm),theory(equality)],[c_12681,c_14409]) ).
tff(c_14451,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14409]) ).
tff(c_14605,plain,
! [X_245] : ( multiply(X_245,identity) = X_245 ),
inference(superposition,[status(thm),theory(equality)],[c_14598,c_14451]) ).
tff(c_13117,plain,
! [X_217,Z_218] : ( multiply(inverse(X_217),multiply(X_217,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12669]) ).
tff(c_13371,plain,
! [X_220,Z_221] : ( multiply(inverse(inverse(X_220)),Z_221) = multiply(X_220,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_12681,c_13117]) ).
tff(c_13171,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13117]) ).
tff(c_13378,plain,
! [X_220] : ( multiply(X_220,identity) = X_220 ),
inference(superposition,[status(thm),theory(equality)],[c_13371,c_13171]) ).
tff(c_13135,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13016,c_13117]) ).
tff(c_13178,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13135]) ).
tff(c_12840,plain,
! [Z_213] : ( multiply(sk_c8,multiply(sk_c5,Z_213)) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12663]) ).
tff(c_12852,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_12601,c_12840]) ).
tff(c_12856,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12608,c_12852]) ).
tff(c_12861,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12856,c_12608]) ).
tff(c_12869,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12856,c_12558]) ).
tff(c_12862,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12856,c_12601]) ).
tff(c_12722,plain,
! [Z_210] : ( multiply(sk_c8,multiply(sk_c5,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12663]) ).
tff(c_12734,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_12601,c_12722]) ).
tff(c_12738,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12608,c_12734]) ).
tff(c_12747,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12738,c_12585]) ).
tff(c_12743,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12738,c_12613]) ).
tff(c_12573,plain,
inverse(sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_12684,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12573,c_68]) ).
tff(c_12685,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_12684]) ).
tff(c_12759,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12738,c_12738,c_12685]) ).
tff(c_12805,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12743,c_12759]) ).
tff(c_12814,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12747,c_12805]) ).
tff(c_12815,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_12684]) ).
tff(c_12839,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_12815]) ).
tff(c_12919,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_8,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12856,c_12856,c_12856,c_12839]) ).
tff(c_12950,plain,
( ( inverse(sk_c5) != sk_c7 )
| ( multiply(sk_c7,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_12862,c_12919]) ).
tff(c_12958,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12861,c_12869,c_12950]) ).
tff(c_12959,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_12815]) ).
tff(c_13055,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12976,c_12976,c_12976,c_12976,c_12976,c_12959]) ).
tff(c_13056,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_13055]) ).
tff(c_14375,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13378,c_13178,c_13178,c_2,c_13178,c_13178,c_13056]) ).
tff(c_13022,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12976,c_12585]) ).
tff(c_13037,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13022,c_4]) ).
tff(c_13211,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13178,c_13037]) ).
tff(c_13196,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13178,c_13022]) ).
tff(c_13226,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13211,c_13196]) ).
tff(c_14377,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14375,c_13226]) ).
tff(c_14378,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_13055]) ).
tff(c_14979,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14458,c_14605,c_14458,c_14458,c_14378]) ).
tff(c_13029,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12976,c_85]) ).
tff(c_13051,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13029,c_4]) ).
tff(c_14489,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14458,c_13051]) ).
tff(c_14465,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14458,c_13029]) ).
tff(c_14494,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14489,c_14465]) ).
tff(c_14981,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14979,c_14494]) ).
tff(c_14983,plain,
inverse(sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_15006,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14983,c_12]) ).
tff(c_14999,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14983,c_14]) ).
tff(c_15036,plain,
! [X_255,Y_256,Z_257] : ( multiply(multiply(X_255,Y_256),Z_257) = multiply(X_255,multiply(Y_256,Z_257)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15063,plain,
! [Z_257] : ( multiply(sk_c8,multiply(sk_c5,Z_257)) = multiply(identity,Z_257) ),
inference(superposition,[status(thm),theory(equality)],[c_12563,c_15036]) ).
tff(c_15105,plain,
! [Z_259] : ( multiply(sk_c8,multiply(sk_c5,Z_259)) = Z_259 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15063]) ).
tff(c_15117,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14999,c_15105]) ).
tff(c_15121,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15006,c_15117]) ).
tff(c_15013,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_12559,c_30]) ).
tff(c_14982,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_14987,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14982,c_4]) ).
tff(c_15060,plain,
! [Z_257] : ( multiply(sk_c8,multiply(sk_c4,Z_257)) = multiply(identity,Z_257) ),
inference(superposition,[status(thm),theory(equality)],[c_14987,c_15036]) ).
tff(c_15082,plain,
! [Z_258] : ( multiply(sk_c8,multiply(sk_c4,Z_258)) = Z_258 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15060]) ).
tff(c_15094,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15013,c_15082]) ).
tff(c_15123,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15121,c_15121,c_15094]) ).
tff(c_15069,plain,
! [X_2,Z_257] : ( multiply(inverse(X_2),multiply(X_2,Z_257)) = multiply(identity,Z_257) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15036]) ).
tff(c_15080,plain,
! [X_2,Z_257] : ( multiply(inverse(X_2),multiply(X_2,Z_257)) = Z_257 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15069]) ).
tff(c_15307,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15123,c_15080]) ).
tff(c_15313,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15307]) ).
tff(c_15130,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15121,c_14982]) ).
tff(c_15194,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15130,c_4]) ).
tff(c_15331,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15313,c_15194]) ).
tff(c_15320,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15313,c_15130]) ).
tff(c_15340,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15331,c_15320]) ).
tff(c_15129,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15121,c_14983]) ).
tff(c_15324,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15313,c_15313,c_15129]) ).
tff(c_15354,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15340,c_15324]) ).
tff(c_15356,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_62,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_24312,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15356,c_62]) ).
tff(c_15442,plain,
! [X_263,Y_264,Z_265] : ( multiply(multiply(X_263,Y_264),Z_265) = multiply(X_263,multiply(Y_264,Z_265)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15478,plain,
! [X_2,Z_265] : ( multiply(inverse(X_2),multiply(X_2,Z_265)) = multiply(identity,Z_265) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15442]) ).
tff(c_15490,plain,
! [X_2,Z_265] : ( multiply(inverse(X_2),multiply(X_2,Z_265)) = Z_265 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15478]) ).
tff(c_17183,plain,
! [X_297,Z_298] : ( multiply(inverse(X_297),multiply(X_297,Z_298)) = Z_298 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15478]) ).
tff(c_17414,plain,
! [X_301,Z_302] : ( multiply(inverse(inverse(X_301)),Z_302) = multiply(X_301,Z_302) ),
inference(superposition,[status(thm),theory(equality)],[c_15490,c_17183]) ).
tff(c_17231,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17183]) ).
tff(c_17421,plain,
! [X_301] : ( multiply(X_301,identity) = X_301 ),
inference(superposition,[status(thm),theory(equality)],[c_17414,c_17231]) ).
tff(c_15427,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15356,c_62]) ).
tff(c_64,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_15421,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15356,c_64]) ).
tff(c_15355,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_15360,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15355,c_4]) ).
tff(c_15475,plain,
! [Z_265] : ( multiply(sk_c8,multiply(sk_c5,Z_265)) = multiply(identity,Z_265) ),
inference(superposition,[status(thm),theory(equality)],[c_15360,c_15442]) ).
tff(c_15515,plain,
! [Z_267] : ( multiply(sk_c8,multiply(sk_c5,Z_267)) = Z_267 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15475]) ).
tff(c_15527,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15421,c_15515]) ).
tff(c_15531,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15427,c_15527]) ).
tff(c_60,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_15412,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_15356,c_60]) ).
tff(c_58,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_15376,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_15356,c_58]) ).
tff(c_15380,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15376,c_4]) ).
tff(c_15472,plain,
! [Z_265] : ( multiply(sk_c8,multiply(sk_c4,Z_265)) = multiply(identity,Z_265) ),
inference(superposition,[status(thm),theory(equality)],[c_15380,c_15442]) ).
tff(c_15492,plain,
! [Z_266] : ( multiply(sk_c8,multiply(sk_c4,Z_266)) = Z_266 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15472]) ).
tff(c_15504,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15412,c_15492]) ).
tff(c_15650,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15531,c_15531,c_15504]) ).
tff(c_17204,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15650,c_17183]) ).
tff(c_17239,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17204]) ).
tff(c_15736,plain,
! [X_269,Z_270] : ( multiply(inverse(X_269),multiply(X_269,Z_270)) = Z_270 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15478]) ).
tff(c_15967,plain,
! [X_273,Z_274] : ( multiply(inverse(inverse(X_273)),Z_274) = multiply(X_273,Z_274) ),
inference(superposition,[status(thm),theory(equality)],[c_15490,c_15736]) ).
tff(c_15784,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15736]) ).
tff(c_15974,plain,
! [X_273] : ( multiply(X_273,identity) = X_273 ),
inference(superposition,[status(thm),theory(equality)],[c_15967,c_15784]) ).
tff(c_15757,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15650,c_15736]) ).
tff(c_15792,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15757]) ).
tff(c_15545,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15531,c_15376]) ).
tff(c_15540,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15531,c_15412]) ).
tff(c_15368,plain,
inverse(sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_15533,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15368,c_68]) ).
tff(c_15534,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_15533]) ).
tff(c_15605,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15531,c_15531,c_15534]) ).
tff(c_15638,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15540,c_15605]) ).
tff(c_15647,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15545,c_15638]) ).
tff(c_15648,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_15533]) ).
tff(c_15675,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_8,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15531,c_15531,c_15531,c_15531,c_15531,c_15531,c_15531,c_15531,c_15648]) ).
tff(c_15676,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_8,sk_c7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_15675]) ).
tff(c_17120,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15974,c_15792,c_15792,c_2,c_15792,c_15792,c_15676]) ).
tff(c_15663,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15531,c_15355]) ).
tff(c_15680,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15663,c_4]) ).
tff(c_15826,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15792,c_15680]) ).
tff(c_15803,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15792,c_15663]) ).
tff(c_15827,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15826,c_15803]) ).
tff(c_17122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17120,c_15827]) ).
tff(c_17123,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_15675]) ).
tff(c_24250,plain,
! [X1_9,X6_7] :
( ( identity != X1_9 )
| ( inverse(X1_9) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17421,c_17239,c_17239,c_2,c_17239,c_17239,c_17239,c_17421,c_17239,c_17239,c_17123]) ).
tff(c_24252,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_24250]) ).
tff(c_17127,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15663,c_4]) ).
tff(c_17273,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17239,c_17127]) ).
tff(c_17250,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17239,c_15663]) ).
tff(c_17274,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17273,c_17250]) ).
tff(c_24254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24252,c_17274]) ).
tff(c_24256,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_24250]) ).
tff(c_24258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24256,c_17274]) ).
tff(c_24260,plain,
inverse(sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_24298,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_24260,c_14]) ).
tff(c_24328,plain,
! [X_383,Y_384,Z_385] : ( multiply(multiply(X_383,Y_384),Z_385) = multiply(X_383,multiply(Y_384,Z_385)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24358,plain,
! [Z_385] : ( multiply(sk_c8,multiply(sk_c5,Z_385)) = multiply(identity,Z_385) ),
inference(superposition,[status(thm),theory(equality)],[c_15360,c_24328]) ).
tff(c_24397,plain,
! [Z_387] : ( multiply(sk_c8,multiply(sk_c5,Z_387)) = Z_387 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24358]) ).
tff(c_24409,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24298,c_24397]) ).
tff(c_24413,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_24312,c_24409]) ).
tff(c_24278,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_24260,c_10]) ).
tff(c_24259,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_24264,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24259,c_4]) ).
tff(c_24355,plain,
! [Z_385] : ( multiply(sk_c8,multiply(sk_c4,Z_385)) = multiply(identity,Z_385) ),
inference(superposition,[status(thm),theory(equality)],[c_24264,c_24328]) ).
tff(c_24374,plain,
! [Z_386] : ( multiply(sk_c8,multiply(sk_c4,Z_386)) = Z_386 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24355]) ).
tff(c_24386,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24278,c_24374]) ).
tff(c_24415,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_24413,c_24413,c_24386]) ).
tff(c_24361,plain,
! [X_2,Z_385] : ( multiply(inverse(X_2),multiply(X_2,Z_385)) = multiply(identity,Z_385) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24328]) ).
tff(c_24372,plain,
! [X_2,Z_385] : ( multiply(inverse(X_2),multiply(X_2,Z_385)) = Z_385 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24361]) ).
tff(c_24557,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24415,c_24372]) ).
tff(c_24563,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24557]) ).
tff(c_24423,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_24413,c_24260]) ).
tff(c_24574,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24563,c_24563,c_24423]) ).
tff(c_24285,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_24420,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_24413,c_24285]) ).
tff(c_24457,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24420,c_4]) ).
tff(c_24606,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24563,c_24457]) ).
tff(c_24569,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24563,c_24420]) ).
tff(c_24611,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24606,c_24569]) ).
tff(c_24612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24574,c_24611]) ).
tff(c_24614,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_24620,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24614,c_32]) ).
tff(c_24613,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_24649,plain,
! [X_390,Y_391,Z_392] : ( multiply(multiply(X_390,Y_391),Z_392) = multiply(X_390,multiply(Y_391,Z_392)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24676,plain,
! [Z_392] : ( multiply(sk_c8,multiply(sk_c5,Z_392)) = multiply(identity,Z_392) ),
inference(superposition,[status(thm),theory(equality)],[c_15360,c_24649]) ).
tff(c_24714,plain,
! [Z_394] : ( multiply(sk_c8,multiply(sk_c5,Z_394)) = Z_394 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24676]) ).
tff(c_24726,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24613,c_24714]) ).
tff(c_24730,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_24620,c_24726]) ).
tff(c_24673,plain,
! [Z_392] : ( multiply(sk_c8,multiply(sk_c4,Z_392)) = multiply(identity,Z_392) ),
inference(superposition,[status(thm),theory(equality)],[c_24264,c_24649]) ).
tff(c_24691,plain,
! [Z_393] : ( multiply(sk_c8,multiply(sk_c4,Z_393)) = Z_393 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24673]) ).
tff(c_24703,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24278,c_24691]) ).
tff(c_24732,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_24730,c_24730,c_24703]) ).
tff(c_24679,plain,
! [X_2,Z_392] : ( multiply(inverse(X_2),multiply(X_2,Z_392)) = multiply(identity,Z_392) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24649]) ).
tff(c_24689,plain,
! [X_2,Z_392] : ( multiply(inverse(X_2),multiply(X_2,Z_392)) = Z_392 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24679]) ).
tff(c_24842,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24732,c_24689]) ).
tff(c_24851,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24842]) ).
tff(c_24739,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_24730,c_24260]) ).
tff(c_24857,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24851,c_24851,c_24739]) ).
tff(c_24738,plain,
multiply(sk_c7,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24730,c_24264]) ).
tff(c_24912,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24851,c_24738]) ).
tff(c_24740,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_24730,c_24259]) ).
tff(c_24858,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24851,c_24740]) ).
tff(c_24914,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24912,c_24858]) ).
tff(c_24917,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24857,c_24914]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP233-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 22:08:47 EDT 2023
% 0.15/0.36 % CPUTime :
% 11.05/3.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.63/3.91
% 11.63/3.91 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.73/4.00
% 11.73/4.00 Inference rules
% 11.73/4.00 ----------------------
% 11.73/4.00 #Ref : 0
% 11.73/4.00 #Sup : 6245
% 11.73/4.00 #Fact : 0
% 11.73/4.00 #Define : 0
% 11.73/4.00 #Split : 40
% 11.73/4.00 #Chain : 0
% 11.73/4.00 #Close : 0
% 11.73/4.00
% 11.73/4.00 Ordering : KBO
% 11.73/4.00
% 11.73/4.00 Simplification rules
% 11.73/4.00 ----------------------
% 11.73/4.00 #Subsume : 10
% 11.73/4.00 #Demod : 12088
% 11.73/4.00 #Tautology : 5046
% 11.73/4.00 #SimpNegUnit : 90
% 11.73/4.00 #BackRed : 533
% 11.73/4.00
% 11.73/4.00 #Partial instantiations: 0
% 11.73/4.00 #Strategies tried : 1
% 11.73/4.00
% 11.73/4.00 Timing (in seconds)
% 11.73/4.00 ----------------------
% 11.73/4.00 Preprocessing : 0.54
% 11.73/4.00 Parsing : 0.21
% 11.73/4.00 CNF conversion : 0.02
% 11.73/4.00 Main loop : 2.22
% 11.73/4.00 Inferencing : 0.74
% 11.73/4.00 Reduction : 0.97
% 11.73/4.00 Demodulation : 0.82
% 11.73/4.00 BG Simplification : 0.09
% 11.73/4.00 Subsumption : 0.26
% 11.73/4.00 Abstraction : 0.13
% 11.73/4.00 MUC search : 0.00
% 11.73/4.00 Cooper : 0.00
% 11.73/4.00 Total : 2.92
% 11.73/4.00 Index Insertion : 0.00
% 11.73/4.00 Index Deletion : 0.00
% 11.73/4.00 Index Matching : 0.00
% 11.73/4.00 BG Taut test : 0.00
%------------------------------------------------------------------------------