TSTP Solution File: GRP322-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP322-1 : 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 : n026.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 10:40:55 EDT 2023
% Result : Unsatisfiable 21.90s 11.16s
% Output : CNFRefutation 22.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 49
% Syntax : Number of formulae : 537 ( 433 unt; 12 typ; 0 def)
% Number of atoms : 761 ( 729 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 484 ( 248 ~; 236 |; 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 : 255 (; 255 !; 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_152,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
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(sk_c9,sk_c8) != sk_c7 )
| ( multiply(X1,sk_c9) != sk_c8 )
| ( inverse(X1) != sk_c9 )
| ( multiply(sk_c9,X2) != sk_c8 )
| ( multiply(X3,sk_c9) != X2 )
| ( inverse(X3) != sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
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_63373,plain,
! [X_609,Y_610,Z_611] : ( multiply(multiply(X_609,Y_610),Z_611) = multiply(X_609,multiply(Y_610,Z_611)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_63409,plain,
! [X_2,Z_611] : ( multiply(inverse(X_2),multiply(X_2,Z_611)) = multiply(identity,Z_611) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_63373]) ).
tff(c_63420,plain,
! [X_2,Z_611] : ( multiply(inverse(X_2),multiply(X_2,Z_611)) = Z_611 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63409]) ).
tff(c_63628,plain,
! [X_616,Z_617] : ( multiply(inverse(X_616),multiply(X_616,Z_617)) = Z_617 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63409]) ).
tff(c_64018,plain,
! [X_621,Z_622] : ( multiply(inverse(inverse(X_621)),Z_622) = multiply(X_621,Z_622) ),
inference(superposition,[status(thm),theory(equality)],[c_63420,c_63628]) ).
tff(c_63670,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_63628]) ).
tff(c_64025,plain,
! [X_621] : ( multiply(X_621,identity) = X_621 ),
inference(superposition,[status(thm),theory(equality)],[c_64018,c_63670]) ).
tff(c_53168,plain,
! [X_477,Y_478,Z_479] : ( multiply(multiply(X_477,Y_478),Z_479) = multiply(X_477,multiply(Y_478,Z_479)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_53204,plain,
! [X_2,Z_479] : ( multiply(inverse(X_2),multiply(X_2,Z_479)) = multiply(identity,Z_479) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53168]) ).
tff(c_53215,plain,
! [X_2,Z_479] : ( multiply(inverse(X_2),multiply(X_2,Z_479)) = Z_479 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53204]) ).
tff(c_55016,plain,
! [X_515,Z_516] : ( multiply(inverse(X_515),multiply(X_515,Z_516)) = Z_516 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53204]) ).
tff(c_55402,plain,
! [X_520,Z_521] : ( multiply(inverse(inverse(X_520)),Z_521) = multiply(X_520,Z_521) ),
inference(superposition,[status(thm),theory(equality)],[c_53215,c_55016]) ).
tff(c_55067,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_55016]) ).
tff(c_55409,plain,
! [X_520] : ( multiply(X_520,identity) = X_520 ),
inference(superposition,[status(thm),theory(equality)],[c_55402,c_55067]) ).
tff(c_66,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_123,plain,
multiply(sk_c2,sk_c9) = sk_c3,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_72,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_97,plain,
inverse(sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_101,plain,
multiply(sk_c9,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_17363,plain,
! [X_191,Y_192,Z_193] : ( multiply(multiply(X_191,Y_192),Z_193) = multiply(X_191,multiply(Y_192,Z_193)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17405,plain,
! [Z_193] : ( multiply(sk_c9,multiply(sk_c2,Z_193)) = multiply(identity,Z_193) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_17363]) ).
tff(c_17446,plain,
! [Z_195] : ( multiply(sk_c9,multiply(sk_c2,Z_195)) = Z_195 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17405]) ).
tff(c_17458,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_123,c_17446]) ).
tff(c_48,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_16227,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_16851,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_16893,plain,
! [Z_183] : ( multiply(sk_c9,multiply(sk_c2,Z_183)) = multiply(identity,Z_183) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_16851]) ).
tff(c_16923,plain,
! [Z_185] : ( multiply(sk_c9,multiply(sk_c2,Z_185)) = Z_185 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16893]) ).
tff(c_16935,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_123,c_16923]) ).
tff(c_16939,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16227,c_16935]) ).
tff(c_80,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(sk_c9,multiply(X3_8,sk_c9)) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(sk_c9,sk_c8) != sk_c7 )
| ( 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_16959,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16939,c_16939,c_16939,c_16939,c_16939,c_16939,c_16939,c_16939,c_16939,c_16939,c_16939,c_80]) ).
tff(c_16960,plain,
multiply(sk_c8,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_16959]) ).
tff(c_16095,plain,
! [X_165,Y_166,Z_167] : ( multiply(multiply(X_165,Y_166),Z_167) = multiply(X_165,multiply(Y_166,Z_167)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16137,plain,
! [Z_167] : ( multiply(sk_c9,multiply(sk_c2,Z_167)) = multiply(identity,Z_167) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_16095]) ).
tff(c_16167,plain,
! [Z_169] : ( multiply(sk_c9,multiply(sk_c2,Z_169)) = Z_169 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16137]) ).
tff(c_16179,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_123,c_16167]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_133,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_15077,plain,
! [X_150,Y_151,Z_152] : ( multiply(multiply(X_150,Y_151),Z_152) = multiply(X_150,multiply(Y_151,Z_152)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15122,plain,
! [Z_152] : ( multiply(sk_c9,multiply(sk_c2,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_15077]) ).
tff(c_15152,plain,
! [Z_154] : ( multiply(sk_c9,multiply(sk_c2,Z_154)) = Z_154 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15122]) ).
tff(c_15164,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_123,c_15152]) ).
tff(c_15168,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_133,c_15164]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_128,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_15180,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15168,c_128]) ).
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_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_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_588,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_300,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_270]) ).
tff(c_595,plain,
! [X_22] : ( multiply(X_22,identity) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_588,c_300]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_141,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_36,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_110,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_114,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_110,c_4]) ).
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_141,c_216]) ).
tff(c_232,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_228]) ).
tff(c_236,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_128]) ).
tff(c_385,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_236,c_214]) ).
tff(c_391,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_385]) ).
tff(c_291,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_123,c_270]) ).
tff(c_307,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_291]) ).
tff(c_321,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_307,c_214]) ).
tff(c_327,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_321]) ).
tff(c_235,plain,
multiply(sk_c9,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_133]) ).
tff(c_493,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_391,c_327,c_235]) ).
tff(c_243,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(sk_c9,multiply(X3_8,sk_c9)) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( multiply(sk_c9,sk_c7) != 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_267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_236]) ).
tff(c_268,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( multiply(sk_c9,sk_c7) != sk_c7 )
| ( 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(X3_8) != sk_c9 )
| ( multiply(sk_c9,multiply(X3_8,sk_c9)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_243]) ).
tff(c_8850,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_595,c_493,c_391,c_2,c_391,c_391,c_595,c_493,c_391,c_391,c_595,c_493,c_391,c_2,c_391,c_391,c_595,c_493,c_391,c_493,c_2,c_391,c_268]) ).
tff(c_8852,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8850]) ).
tff(c_424,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_391,c_97]) ).
tff(c_437,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_424,c_4]) ).
tff(c_457,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_437,c_214]) ).
tff(c_469,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_457]) ).
tff(c_473,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_469,c_424]) ).
tff(c_8854,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8852,c_473]) ).
tff(c_8855,plain,
! [X1_9,X6_7,X4_11] :
( ( 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_8850]) ).
tff(c_14131,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8855]) ).
tff(c_14133,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14131,c_473]) ).
tff(c_14134,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 ) ),
inference(splitRight,[status(thm)],[c_8855]) ).
tff(c_14136,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_14134]) ).
tff(c_14138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14136,c_473]) ).
tff(c_15009,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_14134]) ).
tff(c_15011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15009,c_473]) ).
tff(c_15013,plain,
multiply(sk_c1,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_15026,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_15013,c_24]) ).
tff(c_15175,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_15168,c_15026]) ).
tff(c_22,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_15063,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_15013,c_22]) ).
tff(c_15171,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_15168,c_15063]) ).
tff(c_15125,plain,
! [X_2,Z_152] : ( multiply(inverse(X_2),multiply(X_2,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15077]) ).
tff(c_15137,plain,
! [X_2,Z_152] : ( multiply(inverse(X_2),multiply(X_2,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15125]) ).
tff(c_15406,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15171,c_15137]) ).
tff(c_15412,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15180,c_15175,c_15406]) ).
tff(c_20,plain,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_15071,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15013,c_20]) ).
tff(c_15170,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15168,c_15071]) ).
tff(c_15510,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15412,c_15412,c_15170]) ).
tff(c_15517,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15510,c_15137]) ).
tff(c_15523,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15517]) ).
tff(c_15427,plain,
multiply(sk_c7,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15412,c_114]) ).
tff(c_15617,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15523,c_15427]) ).
tff(c_15177,plain,
multiply(sk_c1,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_15168,c_15013]) ).
tff(c_15416,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15412,c_15412,c_15177]) ).
tff(c_15615,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15523,c_15523,c_15416]) ).
tff(c_15618,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15617,c_15615]) ).
tff(c_15622,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15618]) ).
tff(c_15624,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_16186,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16179,c_15624]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_15669,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_15696,plain,
! [X_158,Y_159,Z_160] : ( multiply(multiply(X_158,Y_159),Z_160) = multiply(X_158,multiply(Y_159,Z_160)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15738,plain,
! [Z_160] : ( multiply(sk_c8,multiply(sk_c1,Z_160)) = multiply(identity,Z_160) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_15696]) ).
tff(c_15758,plain,
! [Z_161] : ( multiply(sk_c8,multiply(sk_c1,Z_161)) = Z_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15738]) ).
tff(c_15770,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15669,c_15758]) ).
tff(c_15774,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_15770]) ).
tff(c_15795,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(sk_c9,multiply(X3_8,sk_c9)) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( multiply(sk_c9,sk_c7) != 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_15774,c_15774,c_15774,c_15774,c_15774,c_15774,c_15774,c_80]) ).
tff(c_15796,plain,
multiply(sk_c7,sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_15795]) ).
tff(c_15781,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15774,c_128]) ).
tff(c_15805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15796,c_15781]) ).
tff(c_15807,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_15795]) ).
tff(c_15744,plain,
! [X_2,Z_160] : ( multiply(inverse(X_2),multiply(X_2,Z_160)) = multiply(identity,Z_160) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15696]) ).
tff(c_15839,plain,
! [X_162,Z_163] : ( multiply(inverse(X_162),multiply(X_162,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15744]) ).
tff(c_15860,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_15807,c_15839]) ).
tff(c_15906,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15860]) ).
tff(c_15890,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_123,c_15839]) ).
tff(c_15909,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_15890]) ).
tff(c_16016,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15906,c_2,c_15906,c_15909]) ).
tff(c_15780,plain,
multiply(sk_c9,sk_c3) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15774,c_15624]) ).
tff(c_16026,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16016,c_2,c_15906,c_15780]) ).
tff(c_15637,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_15624,c_48]) ).
tff(c_15915,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15906,c_15637]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_15661,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_15624,c_46]) ).
tff(c_15779,plain,
multiply(sk_c4,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15774,c_15661]) ).
tff(c_16055,plain,
multiply(sk_c4,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15906,c_15779]) ).
tff(c_15756,plain,
! [X_2,Z_160] : ( multiply(inverse(X_2),multiply(X_2,Z_160)) = Z_160 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15744]) ).
tff(c_16059,plain,
multiply(inverse(sk_c4),sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16055,c_15756]) ).
tff(c_16065,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15915,c_16059]) ).
tff(c_16067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16026,c_16065]) ).
tff(c_16069,plain,
multiply(sk_c1,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_26,plain,
( ( multiply(sk_c9,sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_16081,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16069,c_26]) ).
tff(c_16068,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_15623,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_15628,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15623,c_4]) ).
tff(c_16125,plain,
! [Z_167] : ( multiply(sk_c9,multiply(sk_c5,Z_167)) = multiply(identity,Z_167) ),
inference(superposition,[status(thm),theory(equality)],[c_15628,c_16095]) ).
tff(c_16194,plain,
! [Z_170] : ( multiply(sk_c9,multiply(sk_c5,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16125]) ).
tff(c_16206,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_16068,c_16194]) ).
tff(c_16210,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16081,c_16206]) ).
tff(c_16212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16186,c_16210]) ).
tff(c_16214,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_8,plain,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_16820,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16214,c_8]) ).
tff(c_16943,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16939,c_16820]) ).
tff(c_17107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16960,c_16943]) ).
tff(c_17109,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_16959]) ).
tff(c_16950,plain,
multiply(sk_c8,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16939,c_16214]) ).
tff(c_17296,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17109,c_16950]) ).
tff(c_17298,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_17462,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_17458,c_17298]) ).
tff(c_14,plain,
( ( multiply(sk_c9,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_17339,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16214,c_14]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_17349,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_17298,c_52]) ).
tff(c_16213,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_16218,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16213,c_4]) ).
tff(c_17396,plain,
! [Z_193] : ( multiply(sk_c9,multiply(sk_c5,Z_193)) = multiply(identity,Z_193) ),
inference(superposition,[status(thm),theory(equality)],[c_16218,c_17363]) ).
tff(c_17472,plain,
! [Z_196] : ( multiply(sk_c9,multiply(sk_c5,Z_196)) = Z_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17396]) ).
tff(c_17484,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_17349,c_17472]) ).
tff(c_17488,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_17339,c_17484]) ).
tff(c_17490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17462,c_17488]) ).
tff(c_17492,plain,
multiply(sk_c2,sk_c9) != sk_c3,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_62,plain,
( ( multiply(sk_c9,sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_18844,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17492,c_62]) ).
tff(c_64,plain,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_19431,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_17492,c_64]) ).
tff(c_17491,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_17496,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17491,c_4]) ).
tff(c_19449,plain,
! [X_233,Y_234,Z_235] : ( multiply(multiply(X_233,Y_234),Z_235) = multiply(X_233,multiply(Y_234,Z_235)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19482,plain,
! [Z_235] : ( multiply(sk_c9,multiply(sk_c5,Z_235)) = multiply(identity,Z_235) ),
inference(superposition,[status(thm),theory(equality)],[c_17496,c_19449]) ).
tff(c_19533,plain,
! [Z_238] : ( multiply(sk_c9,multiply(sk_c5,Z_238)) = Z_238 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19482]) ).
tff(c_19545,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_19431,c_19533]) ).
tff(c_19549,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_18844,c_19545]) ).
tff(c_17538,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17492,c_62]) ).
tff(c_18111,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_17492,c_64]) ).
tff(c_18128,plain,
! [X_206,Y_207,Z_208] : ( multiply(multiply(X_206,Y_207),Z_208) = multiply(X_206,multiply(Y_207,Z_208)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18164,plain,
! [Z_208] : ( multiply(sk_c9,multiply(sk_c5,Z_208)) = multiply(identity,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_17496,c_18128]) ).
tff(c_18325,plain,
! [Z_214] : ( multiply(sk_c9,multiply(sk_c5,Z_214)) = Z_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18164]) ).
tff(c_18337,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_18111,c_18325]) ).
tff(c_18341,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_17538,c_18337]) ).
tff(c_12,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_17511,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_18351,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18341,c_17511]) ).
tff(c_60,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_17522,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_17492,c_60]) ).
tff(c_18350,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_18341,c_17522]) ).
tff(c_58,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_18102,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17492,c_58]) ).
tff(c_18345,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_18341,c_18102]) ).
tff(c_18173,plain,
! [X_2,Z_208] : ( multiply(inverse(X_2),multiply(X_2,Z_208)) = multiply(identity,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18128]) ).
tff(c_18185,plain,
! [X_2,Z_208] : ( multiply(inverse(X_2),multiply(X_2,Z_208)) = Z_208 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18173]) ).
tff(c_18497,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18345,c_18185]) ).
tff(c_18503,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_18350,c_18497]) ).
tff(c_18534,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18351,c_18503]) ).
tff(c_18356,plain,
multiply(sk_c8,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18341,c_101]) ).
tff(c_18540,plain,
multiply(sk_c7,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18534,c_18356]) ).
tff(c_18348,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_18341,c_17538]) ).
tff(c_18424,plain,
! [X_215,Z_216] : ( multiply(inverse(X_215),multiply(X_215,Z_216)) = Z_216 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18173]) ).
tff(c_18451,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18348,c_18424]) ).
tff(c_18486,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18451]) ).
tff(c_18489,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_18486,c_18348]) ).
tff(c_18626,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18534,c_18534,c_18489]) ).
tff(c_18544,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18534,c_18341]) ).
tff(c_18158,plain,
! [Z_208] : ( multiply(sk_c8,multiply(sk_c9,Z_208)) = multiply(sk_c7,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_17511,c_18128]) ).
tff(c_18664,plain,
! [Z_218] : ( multiply(sk_c7,multiply(sk_c7,Z_218)) = multiply(sk_c7,Z_218) ),
inference(demodulation,[status(thm),theory(equality)],[c_18544,c_18534,c_18158]) ).
tff(c_18685,plain,
multiply(sk_c7,sk_c2) = multiply(sk_c7,identity),
inference(superposition,[status(thm),theory(equality)],[c_18540,c_18664]) ).
tff(c_18698,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18540,c_18626,c_18685]) ).
tff(c_18711,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18698,c_18534]) ).
tff(c_18357,plain,
inverse(sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_18341,c_97]) ).
tff(c_18541,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18534,c_18357]) ).
tff(c_18622,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18541,c_4]) ).
tff(c_18723,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18698,c_18622]) ).
tff(c_17506,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_18352,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_18341,c_17506]) ).
tff(c_18519,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_18352,c_18185]) ).
tff(c_18525,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18519]) ).
tff(c_18354,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_18341,c_17492]) ).
tff(c_18528,plain,
multiply(sk_c2,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_18525,c_18354]) ).
tff(c_18818,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18711,c_2,c_18723,c_18528]) ).
tff(c_18820,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_19558,plain,
multiply(sk_c8,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19549,c_18820]) ).
tff(c_18875,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18820,c_8]) ).
tff(c_18819,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_18854,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_18820,c_10]) ).
tff(c_18884,plain,
! [X_220,Y_221,Z_222] : ( multiply(multiply(X_220,Y_221),Z_222) = multiply(X_220,multiply(Y_221,Z_222)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18929,plain,
! [X_2,Z_222] : ( multiply(inverse(X_2),multiply(X_2,Z_222)) = multiply(identity,Z_222) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18884]) ).
tff(c_19263,plain,
! [X_230,Z_231] : ( multiply(inverse(X_230),multiply(X_230,Z_231)) = Z_231 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18929]) ).
tff(c_19296,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_18854,c_19263]) ).
tff(c_19341,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18875,c_18819,c_19296]) ).
tff(c_18864,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_17492,c_64]) ).
tff(c_19293,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_18864,c_19263]) ).
tff(c_19340,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_18844,c_17491,c_19293]) ).
tff(c_19362,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19341,c_19340]) ).
tff(c_18849,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_18923,plain,
! [Z_222] : ( multiply(sk_c8,multiply(sk_c1,Z_222)) = multiply(identity,Z_222) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_18884]) ).
tff(c_18943,plain,
! [Z_223] : ( multiply(sk_c8,multiply(sk_c1,Z_223)) = Z_223 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18923]) ).
tff(c_18955,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18849,c_18943]) ).
tff(c_18959,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18955,c_18820]) ).
tff(c_19412,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19362,c_18959]) ).
tff(c_19413,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_19555,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19549,c_19413]) ).
tff(c_19751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19558,c_19555]) ).
tff(c_19753,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_44,plain,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_52190,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_19753,c_44]) ).
tff(c_19778,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_19753,c_46]) ).
tff(c_19752,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_19757,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19752,c_4]) ).
tff(c_52219,plain,
! [X_460,Y_461,Z_462] : ( multiply(multiply(X_460,Y_461),Z_462) = multiply(X_460,multiply(Y_461,Z_462)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_52249,plain,
! [Z_462] : ( multiply(sk_c9,multiply(sk_c4,Z_462)) = multiply(identity,Z_462) ),
inference(superposition,[status(thm),theory(equality)],[c_19757,c_52219]) ).
tff(c_52700,plain,
! [Z_473] : ( multiply(sk_c9,multiply(sk_c4,Z_473)) = Z_473 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52249]) ).
tff(c_52712,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_19778,c_52700]) ).
tff(c_52716,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_52190,c_52712]) ).
tff(c_52833,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_52716,c_52190]) ).
tff(c_52261,plain,
! [X_2,Z_462] : ( multiply(inverse(X_2),multiply(X_2,Z_462)) = multiply(identity,Z_462) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_52219]) ).
tff(c_52919,plain,
! [X_475,Z_476] : ( multiply(inverse(X_475),multiply(X_475,Z_476)) = Z_476 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52261]) ).
tff(c_52952,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52833,c_52919]) ).
tff(c_52984,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52952]) ).
tff(c_51816,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_19753,c_44]) ).
tff(c_51835,plain,
! [X_451,Y_452,Z_453] : ( multiply(multiply(X_451,Y_452),Z_453) = multiply(X_451,multiply(Y_452,Z_453)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_51865,plain,
! [Z_453] : ( multiply(sk_c9,multiply(sk_c4,Z_453)) = multiply(identity,Z_453) ),
inference(superposition,[status(thm),theory(equality)],[c_19757,c_51835]) ).
tff(c_51928,plain,
! [Z_456] : ( multiply(sk_c9,multiply(sk_c4,Z_456)) = Z_456 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51865]) ).
tff(c_51940,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_19778,c_51928]) ).
tff(c_51944,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_51816,c_51940]) ).
tff(c_51950,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_51944,c_51816]) ).
tff(c_51877,plain,
! [X_2,Z_453] : ( multiply(inverse(X_2),multiply(X_2,Z_453)) = multiply(identity,Z_453) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51835]) ).
tff(c_51889,plain,
! [X_2,Z_453] : ( multiply(inverse(X_2),multiply(X_2,Z_453)) = Z_453 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51877]) ).
tff(c_52095,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_51950,c_51889]) ).
tff(c_52101,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52095]) ).
tff(c_19783,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_51871,plain,
! [Z_453] : ( multiply(sk_c8,multiply(sk_c1,Z_453)) = multiply(identity,Z_453) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_51835]) ).
tff(c_51891,plain,
! [Z_454] : ( multiply(sk_c8,multiply(sk_c1,Z_454)) = Z_454 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51871]) ).
tff(c_51903,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19783,c_51891]) ).
tff(c_19822,plain,
! [X_242,Y_243,Z_244] : ( multiply(multiply(X_242,Y_243),Z_244) = multiply(X_242,multiply(Y_243,Z_244)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19867,plain,
! [X_2,Z_244] : ( multiply(inverse(X_2),multiply(X_2,Z_244)) = multiply(identity,Z_244) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19822]) ).
tff(c_19938,plain,
! [X_246,Z_247] : ( multiply(inverse(X_246),multiply(X_246,Z_247)) = Z_247 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19867]) ).
tff(c_19879,plain,
! [X_2,Z_244] : ( multiply(inverse(X_2),multiply(X_2,Z_244)) = Z_244 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19867]) ).
tff(c_20366,plain,
! [X_250,Z_251] : ( multiply(inverse(inverse(X_250)),Z_251) = multiply(X_250,Z_251) ),
inference(superposition,[status(thm),theory(equality)],[c_19938,c_19879]) ).
tff(c_19983,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19938]) ).
tff(c_20373,plain,
! [X_250] : ( multiply(X_250,identity) = X_250 ),
inference(superposition,[status(thm),theory(equality)],[c_20366,c_19983]) ).
tff(c_19790,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_19861,plain,
! [Z_244] : ( multiply(sk_c8,multiply(sk_c1,Z_244)) = multiply(identity,Z_244) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_19822]) ).
tff(c_19881,plain,
! [Z_245] : ( multiply(sk_c8,multiply(sk_c1,Z_245)) = Z_245 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19861]) ).
tff(c_19893,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19783,c_19881]) ).
tff(c_19897,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19790,c_19893]) ).
tff(c_19901,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19897,c_19790]) ).
tff(c_20047,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_19901,c_19879]) ).
tff(c_20053,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20047]) ).
tff(c_20059,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20053,c_19752]) ).
tff(c_19903,plain,
multiply(sk_c4,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19897,c_19778]) ).
tff(c_20191,plain,
multiply(sk_c4,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20053,c_19903]) ).
tff(c_20195,plain,
multiply(inverse(sk_c4),sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20191,c_19879]) ).
tff(c_20201,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20059,c_20195]) ).
tff(c_19911,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(sk_c9,multiply(X3_8,sk_c9)) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( multiply(sk_c9,sk_c7) != 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_19897,c_19897,c_19897,c_19897,c_19897,c_19897,c_19897,c_80]) ).
tff(c_19912,plain,
multiply(sk_c7,sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_19911]) ).
tff(c_19928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19912,c_19901]) ).
tff(c_19929,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( multiply(sk_c9,sk_c7) != sk_c7 )
| ( 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(X3_8) != sk_c9 )
| ( multiply(sk_c9,multiply(X3_8,sk_c9)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_19911]) ).
tff(c_26864,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20373,c_20201,c_20053,c_2,c_20053,c_20053,c_20373,c_20201,c_20053,c_20053,c_20373,c_20201,c_20053,c_2,c_20053,c_20053,c_20373,c_20201,c_20053,c_20201,c_2,c_20053,c_19929]) ).
tff(c_26866,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_26864]) ).
tff(c_20064,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20053,c_97]) ).
tff(c_20117,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20064,c_4]) ).
tff(c_20140,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_20117,c_19879]) ).
tff(c_20152,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20140]) ).
tff(c_20156,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20152,c_20064]) ).
tff(c_26868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26866,c_20156]) ).
tff(c_26869,plain,
! [X1_9,X6_7,X4_11] :
( ( 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_26864]) ).
tff(c_51791,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_26869]) ).
tff(c_51793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51791,c_20156]) ).
tff(c_51794,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 ) ),
inference(splitRight,[status(thm)],[c_26869]) ).
tff(c_51796,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_51794]) ).
tff(c_51798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51796,c_20156]) ).
tff(c_51800,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_51794]) ).
tff(c_51802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51800,c_20156]) ).
tff(c_51804,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_51907,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_51903,c_51804]) ).
tff(c_52106,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_52101,c_51907]) ).
tff(c_51949,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_51944,c_51903]) ).
tff(c_52177,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52101,c_2,c_52101,c_51949]) ).
tff(c_52178,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52106,c_52177]) ).
tff(c_52179,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_52836,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_52716,c_52179]) ).
tff(c_52843,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_52716,c_17491]) ).
tff(c_52180,plain,
multiply(sk_c1,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_52195,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_52180,c_28]) ).
tff(c_52832,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_52716,c_52195]) ).
tff(c_52940,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_52832,c_52919]) ).
tff(c_52983,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_52836,c_52843,c_52940]) ).
tff(c_52996,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52984,c_52983]) ).
tff(c_52990,plain,
multiply(sk_c7,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52983,c_114]) ).
tff(c_53084,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52996,c_52990]) ).
tff(c_52835,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_52716,c_52180]) ).
tff(c_52987,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_52983,c_52835]) ).
tff(c_53094,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53084,c_52996,c_52996,c_52987]) ).
tff(c_53096,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_38,plain,
( ( multiply(sk_c9,sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_53127,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_53096,c_38]) ).
tff(c_40,plain,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_53133,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_53096,c_40]) ).
tff(c_42,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_53104,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_53096,c_42]) ).
tff(c_53108,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53104,c_4]) ).
tff(c_53195,plain,
! [Z_479] : ( multiply(sk_c9,multiply(sk_c5,Z_479)) = multiply(identity,Z_479) ),
inference(superposition,[status(thm),theory(equality)],[c_53108,c_53168]) ).
tff(c_53454,plain,
! [Z_485] : ( multiply(sk_c9,multiply(sk_c5,Z_485)) = Z_485 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53195]) ).
tff(c_53466,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_53133,c_53454]) ).
tff(c_53470,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_53127,c_53466]) ).
tff(c_53233,plain,
! [Z_481] : ( multiply(sk_c9,multiply(sk_c5,Z_481)) = Z_481 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53195]) ).
tff(c_53245,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_53133,c_53233]) ).
tff(c_53249,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_53127,c_53245]) ).
tff(c_32,plain,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_53139,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_53096,c_32]) ).
tff(c_53289,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53249,c_53139]) ).
tff(c_53218,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(sk_c9,multiply(X3_8,sk_c9)) != sk_c8 )
| ( 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(demodulation,[status(thm),theory(equality)],[c_53139,c_80]) ).
tff(c_53219,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_53218]) ).
tff(c_53287,plain,
multiply(sk_c8,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53249,c_53219]) ).
tff(c_53444,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53289,c_53287]) ).
tff(c_53446,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_53218]) ).
tff(c_53472,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53470,c_53446]) ).
tff(c_53095,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_53480,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_53470,c_53095]) ).
tff(c_34,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_53147,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_53096,c_34]) ).
tff(c_53473,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_53470,c_53147]) ).
tff(c_55043,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_53473,c_55016]) ).
tff(c_55076,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53472,c_53480,c_55043]) ).
tff(c_53476,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_53470,c_53127]) ).
tff(c_55040,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_53476,c_55016]) ).
tff(c_55075,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55040]) ).
tff(c_53475,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_53470,c_53133]) ).
tff(c_55077,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55075,c_53475]) ).
tff(c_55199,plain,
multiply(sk_c5,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55076,c_55077]) ).
tff(c_55083,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_55076,c_55076,c_53472]) ).
tff(c_55091,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_55076,c_53470]) ).
tff(c_53189,plain,
! [Z_479] : ( multiply(sk_c5,multiply(sk_c9,Z_479)) = multiply(sk_c6,Z_479) ),
inference(superposition,[status(thm),theory(equality)],[c_53133,c_53168]) ).
tff(c_55178,plain,
! [Z_479] : ( multiply(sk_c5,multiply(sk_c7,Z_479)) = Z_479 ),
inference(demodulation,[status(thm),theory(equality)],[c_55091,c_2,c_55075,c_53189]) ).
tff(c_55232,plain,
multiply(sk_c5,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_55083,c_55178]) ).
tff(c_55241,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55199,c_55232]) ).
tff(c_55269,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55241,c_55076]) ).
tff(c_53601,plain,
! [X_487,Z_488] : ( multiply(inverse(X_487),multiply(X_487,Z_488)) = Z_488 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53204]) ).
tff(c_53855,plain,
! [X_491,Z_492] : ( multiply(inverse(inverse(X_491)),Z_492) = multiply(X_491,Z_492) ),
inference(superposition,[status(thm),theory(equality)],[c_53215,c_53601]) ).
tff(c_53622,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53601]) ).
tff(c_53862,plain,
! [X_491] : ( multiply(X_491,identity) = X_491 ),
inference(superposition,[status(thm),theory(equality)],[c_53855,c_53622]) ).
tff(c_53474,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53470,c_53139]) ).
tff(c_53100,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53095,c_4]) ).
tff(c_53198,plain,
! [Z_479] : ( multiply(sk_c9,multiply(sk_c4,Z_479)) = multiply(identity,Z_479) ),
inference(superposition,[status(thm),theory(equality)],[c_53100,c_53168]) ).
tff(c_53213,plain,
! [Z_479] : ( multiply(sk_c9,multiply(sk_c4,Z_479)) = Z_479 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53198]) ).
tff(c_53567,plain,
! [Z_486] : ( multiply(sk_c8,multiply(sk_c4,Z_486)) = Z_486 ),
inference(demodulation,[status(thm),theory(equality)],[c_53470,c_53213]) ).
tff(c_53579,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_53473,c_53567]) ).
tff(c_53583,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53474,c_53579]) ).
tff(c_53586,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53583,c_53583,c_53474]) ).
tff(c_53688,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_53586,c_53215]) ).
tff(c_53694,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53688]) ).
tff(c_53704,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53694,c_53583]) ).
tff(c_53445,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( 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(X3_8) != sk_c9 )
| ( multiply(sk_c9,multiply(X3_8,sk_c9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_53218]) ).
tff(c_53533,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53470,c_53470,c_53470,c_53470,c_53470,c_53470,c_53470,c_53470,c_53470,c_53445]) ).
tff(c_53534,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_53533]) ).
tff(c_54981,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_53862,c_53704,c_53704,c_2,c_53704,c_53704,c_53534]) ).
tff(c_53591,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53583,c_53480]) ).
tff(c_53670,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53591,c_4]) ).
tff(c_53746,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53694,c_53670]) ).
tff(c_53698,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53694,c_53591]) ).
tff(c_53751,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53746,c_53698]) ).
tff(c_54983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54981,c_53751]) ).
tff(c_54984,plain,
! [X1_9,X6_7,X4_11] :
( ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_53533]) ).
tff(c_63272,plain,
! [X1_9,X6_7,X4_11] :
( ( 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_55409,c_55269,c_55269,c_55269,c_55409,c_55269,c_55269,c_2,c_55269,c_55269,c_55409,c_55269,c_55269,c_55269,c_54984]) ).
tff(c_63274,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_63272]) ).
tff(c_53479,plain,
inverse(sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_53470,c_53104]) ).
tff(c_55090,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_55076,c_53479]) ).
tff(c_55153,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55090,c_4]) ).
tff(c_55317,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55241,c_55153]) ).
tff(c_55266,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55241,c_55090]) ).
tff(c_55318,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55317,c_55266]) ).
tff(c_63276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63274,c_55318]) ).
tff(c_63277,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 ) ),
inference(splitRight,[status(thm)],[c_63272]) ).
tff(c_63279,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_63277]) ).
tff(c_63281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63279,c_55318]) ).
tff(c_63284,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_63277]) ).
tff(c_63286,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63284,c_55318]) ).
tff(c_63288,plain,
inverse(sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_74,plain,
( ( multiply(sk_c9,sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_63317,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_63288,c_74]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_63344,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_63288,c_76]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_63300,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_63288,c_78]) ).
tff(c_63304,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_63300,c_4]) ).
tff(c_63403,plain,
! [Z_611] : ( multiply(sk_c9,multiply(sk_c5,Z_611)) = multiply(identity,Z_611) ),
inference(superposition,[status(thm),theory(equality)],[c_63304,c_63373]) ).
tff(c_63422,plain,
! [Z_612] : ( multiply(sk_c9,multiply(sk_c5,Z_612)) = Z_612 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63403]) ).
tff(c_63434,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_63344,c_63422]) ).
tff(c_63438,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_63317,c_63434]) ).
tff(c_68,plain,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_63349,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_63288,c_68]) ).
tff(c_63440,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_63438,c_63349]) ).
tff(c_63453,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63438,c_63438,c_63438,c_63438,c_63438,c_63438,c_63438,c_63438,c_63438,c_63438,c_63438,c_80]) ).
tff(c_63454,plain,
multiply(sk_c8,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_63453]) ).
tff(c_63582,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_63440,c_63454]) ).
tff(c_63584,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_63453]) ).
tff(c_63287,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_63448,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_63438,c_63287]) ).
tff(c_70,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_63338,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_63288,c_70]) ).
tff(c_63442,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_63438,c_63338]) ).
tff(c_63693,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_63442,c_63420]) ).
tff(c_63699,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_63584,c_63448,c_63693]) ).
tff(c_63716,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_63699,c_63699,c_63584]) ).
tff(c_63884,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_63716,c_63420]) ).
tff(c_63891,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_63884]) ).
tff(c_63904,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_63891,c_63699]) ).
tff(c_63583,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( multiply(sk_c8,sk_c8) != sk_c7 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_63453]) ).
tff(c_71070,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64025,c_63904,c_63904,c_2,c_63904,c_63904,c_64025,c_63904,c_63904,c_63904,c_64025,c_63904,c_63904,c_2,c_63904,c_63904,c_64025,c_63904,c_63904,c_63904,c_63904,c_2,c_63904,c_63891,c_63583]) ).
tff(c_71072,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_71070]) ).
tff(c_63445,plain,
inverse(sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_63438,c_63300]) ).
tff(c_63719,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_63699,c_63445]) ).
tff(c_63748,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_63719,c_4]) ).
tff(c_63915,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_63891,c_63748]) ).
tff(c_63900,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_63891,c_63719]) ).
tff(c_63924,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_63915,c_63900]) ).
tff(c_71074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71072,c_63924]) ).
tff(c_71075,plain,
! [X1_9,X6_7,X4_11] :
( ( 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_71070]) ).
tff(c_87226,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_71075]) ).
tff(c_87228,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87226,c_63924]) ).
tff(c_87229,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 ) ),
inference(splitRight,[status(thm)],[c_71075]) ).
tff(c_87231,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_87229]) ).
tff(c_87233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87231,c_63924]) ).
tff(c_88383,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_87229]) ).
tff(c_88385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88383,c_63924]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP322-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.17/0.35 % Computer : n026.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 22:21:31 EDT 2023
% 0.17/0.35 % CPUTime :
% 21.90/11.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.98/11.21
% 21.98/11.21 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.24/11.27
% 22.24/11.27 Inference rules
% 22.24/11.27 ----------------------
% 22.24/11.27 #Ref : 0
% 22.24/11.27 #Sup : 21538
% 22.24/11.27 #Fact : 0
% 22.24/11.27 #Define : 0
% 22.24/11.27 #Split : 46
% 22.24/11.27 #Chain : 0
% 22.24/11.27 #Close : 0
% 22.24/11.27
% 22.24/11.27 Ordering : KBO
% 22.24/11.27
% 22.24/11.27 Simplification rules
% 22.24/11.27 ----------------------
% 22.24/11.27 #Subsume : 5
% 22.24/11.27 #Demod : 63093
% 22.24/11.27 #Tautology : 17402
% 22.24/11.27 #SimpNegUnit : 134
% 22.24/11.27 #BackRed : 630
% 22.24/11.27
% 22.24/11.27 #Partial instantiations: 0
% 22.24/11.27 #Strategies tried : 1
% 22.24/11.27
% 22.24/11.27 Timing (in seconds)
% 22.24/11.27 ----------------------
% 22.24/11.27 Preprocessing : 0.55
% 22.24/11.27 Parsing : 0.21
% 22.24/11.27 CNF conversion : 0.03
% 22.24/11.28 Main loop : 9.52
% 22.24/11.28 Inferencing : 2.28
% 22.24/11.28 Reduction : 5.95
% 22.24/11.28 Demodulation : 5.56
% 22.24/11.28 BG Simplification : 0.19
% 22.24/11.28 Subsumption : 0.72
% 22.24/11.28 Abstraction : 0.54
% 22.24/11.28 MUC search : 0.00
% 22.24/11.28 Cooper : 0.00
% 22.24/11.28 Total : 10.20
% 22.24/11.28 Index Insertion : 0.00
% 22.24/11.28 Index Deletion : 0.00
% 22.24/11.28 Index Matching : 0.00
% 22.24/11.28 BG Taut test : 0.00
%------------------------------------------------------------------------------