TSTP Solution File: GRP280-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP280-1 : 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 : n019.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 10:40:45 EDT 2023
% Result : Unsatisfiable 15.47s 5.69s
% Output : CNFRefutation 15.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 50
% Syntax : Number of formulae : 634 ( 531 unt; 12 typ; 0 def)
% Number of atoms : 834 ( 801 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 443 ( 231 ~; 212 |; 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 : 283 (; 283 !; 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_65,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( multiply(sk_c9,sk_c8) != sk_c7 )
| ( multiply(X4,sk_c9) != sk_c8 )
| ( inverse(X4) != sk_c9 )
| ( multiply(sk_c9,X5) != sk_c8 )
| ( multiply(X6,sk_c9) != X5 )
| ( inverse(X6) != sk_c9 )
| ( multiply(sk_c9,sk_c7) != sk_c8 )
| ( multiply(X2,X1) != sk_c9 )
| ( inverse(X2) != X1 )
| ( multiply(X1,sk_c8) != sk_c9 )
| ( multiply(X3,sk_c9) != sk_c7 )
| ( inverse(X3) != sk_c9 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c4,sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c4,sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c4,sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c5) = sk_c9 ) ),
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_41203,plain,
! [X_501,Y_502,Z_503] : ( multiply(multiply(X_501,Y_502),Z_503) = multiply(X_501,multiply(Y_502,Z_503)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41239,plain,
! [X_2,Z_503] : ( multiply(inverse(X_2),multiply(X_2,Z_503)) = multiply(identity,Z_503) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41203]) ).
tff(c_41250,plain,
! [X_2,Z_503] : ( multiply(inverse(X_2),multiply(X_2,Z_503)) = Z_503 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41239]) ).
tff(c_41633,plain,
! [X_509,Z_510] : ( multiply(inverse(X_509),multiply(X_509,Z_510)) = Z_510 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41239]) ).
tff(c_41937,plain,
! [X_513,Z_514] : ( multiply(inverse(inverse(X_513)),Z_514) = multiply(X_513,Z_514) ),
inference(superposition,[status(thm),theory(equality)],[c_41250,c_41633]) ).
tff(c_41681,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41633]) ).
tff(c_41944,plain,
! [X_513] : ( multiply(X_513,identity) = X_513 ),
inference(superposition,[status(thm),theory(equality)],[c_41937,c_41681]) ).
tff(c_29129,plain,
! [X_376,Y_377,Z_378] : ( multiply(multiply(X_376,Y_377),Z_378) = multiply(X_376,multiply(Y_377,Z_378)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29165,plain,
! [X_2,Z_378] : ( multiply(inverse(X_2),multiply(X_2,Z_378)) = multiply(identity,Z_378) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29129]) ).
tff(c_29670,plain,
! [X_384,Z_385] : ( multiply(inverse(X_384),multiply(X_384,Z_385)) = Z_385 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29165]) ).
tff(c_29176,plain,
! [X_2,Z_378] : ( multiply(inverse(X_2),multiply(X_2,Z_378)) = Z_378 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29165]) ).
tff(c_30030,plain,
! [X_390,Z_391] : ( multiply(inverse(inverse(X_390)),Z_391) = multiply(X_390,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_29670,c_29176]) ).
tff(c_29718,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29670]) ).
tff(c_30037,plain,
! [X_390] : ( multiply(X_390,identity) = X_390 ),
inference(superposition,[status(thm),theory(equality)],[c_30030,c_29718]) ).
tff(c_16414,plain,
! [X_226,Y_227,Z_228] : ( multiply(multiply(X_226,Y_227),Z_228) = multiply(X_226,multiply(Y_227,Z_228)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16459,plain,
! [X_2,Z_228] : ( multiply(inverse(X_2),multiply(X_2,Z_228)) = multiply(identity,Z_228) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16414]) ).
tff(c_16471,plain,
! [X_2,Z_228] : ( multiply(inverse(X_2),multiply(X_2,Z_228)) = Z_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16459]) ).
tff(c_16572,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_16459]) ).
tff(c_17123,plain,
! [X_237,Z_238] : ( multiply(inverse(inverse(X_237)),Z_238) = multiply(X_237,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_16471,c_16572]) ).
tff(c_16614,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16572]) ).
tff(c_17130,plain,
! [X_237] : ( multiply(X_237,identity) = X_237 ),
inference(superposition,[status(thm),theory(equality)],[c_17123,c_16614]) ).
tff(c_8,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_16386,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_28,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_16381,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_36,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_110,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_114,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_110,c_4]) ).
tff(c_16453,plain,
! [Z_228] : ( multiply(sk_c9,multiply(sk_c1,Z_228)) = multiply(identity,Z_228) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_16414]) ).
tff(c_16473,plain,
! [Z_229] : ( multiply(sk_c9,multiply(sk_c1,Z_229)) = Z_229 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16453]) ).
tff(c_16485,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_16381,c_16473]) ).
tff(c_16489,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16386,c_16485]) ).
tff(c_80,plain,
! [X3_8,X2_10,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( multiply(inverse(X2_10),sk_c8) != sk_c9 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c9 )
| ( multiply(sk_c9,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 )
| ( multiply(sk_c9,sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_16516,plain,
! [X3_8,X2_10,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c7 )
| ( multiply(inverse(X2_10),sk_c8) != sk_c7 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16489,c_16489,c_16489,c_16489,c_16489,c_16489,c_16489,c_16489,c_16489,c_16489,c_16489,c_80]) ).
tff(c_16517,plain,
multiply(sk_c7,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_16516]) ).
tff(c_16493,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16489,c_16386]) ).
tff(c_16540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16517,c_16493]) ).
tff(c_16542,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_16516]) ).
tff(c_16625,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16542,c_16471]) ).
tff(c_16631,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16625]) ).
tff(c_12,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_13665,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_13670,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_13728,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_13770,plain,
! [Z_183] : ( multiply(sk_c9,multiply(sk_c1,Z_183)) = multiply(identity,Z_183) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_13728]) ).
tff(c_13895,plain,
! [Z_186] : ( multiply(sk_c9,multiply(sk_c1,Z_186)) = Z_186 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13770]) ).
tff(c_13907,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_13670,c_13895]) ).
tff(c_13911,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13665,c_13907]) ).
tff(c_13918,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13911,c_13665]) ).
tff(c_13776,plain,
! [X_2,Z_183] : ( multiply(inverse(X_2),multiply(X_2,Z_183)) = multiply(identity,Z_183) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13728]) ).
tff(c_14029,plain,
! [X_187,Z_188] : ( multiply(inverse(X_187),multiply(X_187,Z_188)) = Z_188 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13776]) ).
tff(c_14071,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13918,c_14029]) ).
tff(c_14105,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14071]) ).
tff(c_66,plain,
( ( inverse(sk_c6) = 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_c5 )
| ( 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_13381,plain,
! [X_173,Y_174,Z_175] : ( multiply(multiply(X_173,Y_174),Z_175) = multiply(X_173,multiply(Y_174,Z_175)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13423,plain,
! [Z_175] : ( multiply(sk_c9,multiply(sk_c2,Z_175)) = multiply(identity,Z_175) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_13381]) ).
tff(c_13508,plain,
! [Z_178] : ( multiply(sk_c9,multiply(sk_c2,Z_178)) = Z_178 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13423]) ).
tff(c_13523,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_123,c_13508]) ).
tff(c_48,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_12202,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_12266,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_12311,plain,
! [Z_155] : ( multiply(sk_c9,multiply(sk_c2,Z_155)) = multiply(identity,Z_155) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_12266]) ).
tff(c_12354,plain,
! [Z_157] : ( multiply(sk_c9,multiply(sk_c2,Z_157)) = Z_157 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12311]) ).
tff(c_12366,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_123,c_12354]) ).
tff(c_12370,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12202,c_12366]) ).
tff(c_12070,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_12112,plain,
! [Z_149] : ( multiply(sk_c9,multiply(sk_c2,Z_149)) = multiply(identity,Z_149) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_12070]) ).
tff(c_12132,plain,
! [Z_150] : ( multiply(sk_c9,multiply(sk_c2,Z_150)) = Z_150 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12112]) ).
tff(c_12144,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_123,c_12132]) ).
tff(c_54,plain,
( ( inverse(sk_c6) = 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_10871,plain,
! [X_128,Y_129,Z_130] : ( multiply(multiply(X_128,Y_129),Z_130) = multiply(X_128,multiply(Y_129,Z_130)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10916,plain,
! [Z_130] : ( multiply(sk_c9,multiply(sk_c2,Z_130)) = multiply(identity,Z_130) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_10871]) ).
tff(c_10946,plain,
! [Z_132] : ( multiply(sk_c9,multiply(sk_c2,Z_132)) = Z_132 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10916]) ).
tff(c_10958,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_123,c_10946]) ).
tff(c_10962,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_133,c_10958]) ).
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_375,plain,
! [X_20,Z_21] : ( multiply(inverse(X_20),multiply(X_20,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
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_688,plain,
! [X_24,Z_25] : ( multiply(inverse(inverse(X_24)),Z_25) = multiply(X_24,Z_25) ),
inference(superposition,[status(thm),theory(equality)],[c_375,c_214]) ).
tff(c_417,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_375]) ).
tff(c_695,plain,
! [X_24] : ( multiply(X_24,identity) = X_24 ),
inference(superposition,[status(thm),theory(equality)],[c_688,c_417]) ).
tff(c_18,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_128,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_30,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_141,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_198,plain,
! [Z_16] : ( multiply(sk_c9,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_c9,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_198]) ).
tff(c_228,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_141,c_216]) ).
tff(c_232,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_228]) ).
tff(c_246,plain,
! [X3_8,X2_10,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c7 )
| ( multiply(inverse(X2_10),sk_c8) != sk_c7 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_232,c_232,c_232,c_232,c_232,c_232,c_232,c_232,c_232,c_232,c_232,c_80]) ).
tff(c_247,plain,
multiply(sk_c7,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_246]) ).
tff(c_239,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_110]) ).
tff(c_234,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_141]) ).
tff(c_277,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_295,plain,
multiply(inverse(sk_c1),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_234,c_277]) ).
tff(c_317,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_239,c_295]) ).
tff(c_319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_247,c_317]) ).
tff(c_321,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_246]) ).
tff(c_405,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_321,c_375]) ).
tff(c_425,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_405]) ).
tff(c_235,plain,
multiply(sk_c7,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_133]) ).
tff(c_426,plain,
multiply(sk_c7,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_425,c_235]) ).
tff(c_241,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_97]) ).
tff(c_237,plain,
multiply(sk_c2,sk_c7) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_123]) ).
tff(c_436,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_237,c_214]) ).
tff(c_442,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_241,c_436]) ).
tff(c_480,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_426,c_442]) ).
tff(c_726,plain,
! [X_24] : ( multiply(X_24,inverse(X_24)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_688]) ).
tff(c_320,plain,
! [X4_11,X6_7,X2_10,X3_8] :
( ( multiply(sk_c7,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 )
| ( multiply(inverse(X2_10),sk_c8) != sk_c7 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_246]) ).
tff(c_8137,plain,
! [X4_11,X6_7,X2_10,X3_8] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X2_10) != identity )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_695,c_480,c_480,c_480,c_726,c_480,c_695,c_480,c_425,c_695,c_480,c_2,c_480,c_425,c_480,c_695,c_480,c_425,c_480,c_480,c_2,c_480,c_425,c_320]) ).
tff(c_8139,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8137]) ).
tff(c_325,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_239,c_4]) ).
tff(c_486,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_480,c_325]) ).
tff(c_557,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_486,c_2]) ).
tff(c_488,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_480,c_239]) ).
tff(c_568,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_557,c_488]) ).
tff(c_8141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8139,c_568]) ).
tff(c_8142,plain,
! [X2_10,X4_11,X6_7] :
( ( inverse(X2_10) != identity )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_8137]) ).
tff(c_10243,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8142]) ).
tff(c_10245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10243,c_568]) ).
tff(c_10246,plain,
! [X4_11,X2_10] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X2_10) != identity ) ),
inference(splitRight,[status(thm)],[c_8142]) ).
tff(c_10247,plain,
! [X2_10] : ( inverse(X2_10) != identity ),
inference(splitLeft,[status(thm)],[c_10246]) ).
tff(c_10249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10247,c_568]) ).
tff(c_10803,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_10246]) ).
tff(c_10805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10803,c_568]) ).
tff(c_10807,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_26,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_10851,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_10807,c_26]) ).
tff(c_10967,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10962,c_10851]) ).
tff(c_10820,plain,
inverse(sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10807,c_24]) ).
tff(c_22,plain,
( ( multiply(sk_c4,sk_c5) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_10857,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_10807,c_22]) ).
tff(c_10966,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10962,c_10857]) ).
tff(c_10919,plain,
! [X_2,Z_130] : ( multiply(inverse(X_2),multiply(X_2,Z_130)) = multiply(identity,Z_130) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10871]) ).
tff(c_10931,plain,
! [X_2,Z_130] : ( multiply(inverse(X_2),multiply(X_2,Z_130)) = Z_130 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10919]) ).
tff(c_11195,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10966,c_10931]) ).
tff(c_11201,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10967,c_10820,c_11195]) ).
tff(c_20,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_10865,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10807,c_20]) ).
tff(c_10965,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10962,c_10865]) ).
tff(c_11178,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10965,c_10931]) ).
tff(c_11184,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11178]) ).
tff(c_10973,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10962,c_128]) ).
tff(c_11187,plain,
multiply(sk_c8,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11184,c_10973]) ).
tff(c_11337,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11201,c_11201,c_11187]) ).
tff(c_11203,plain,
multiply(sk_c4,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11201,c_10966]) ).
tff(c_11390,plain,
multiply(inverse(sk_c4),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11203,c_10931]) ).
tff(c_11396,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11337,c_10820,c_11390]) ).
tff(c_10975,plain,
multiply(sk_c8,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10962,c_114]) ).
tff(c_11207,plain,
multiply(sk_c5,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11201,c_10975]) ).
tff(c_11495,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11396,c_11207]) ).
tff(c_10970,plain,
multiply(sk_c1,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10962,c_10807]) ).
tff(c_11205,plain,
multiply(sk_c1,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11201,c_11201,c_10970]) ).
tff(c_11512,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11495,c_11396,c_11396,c_11205]) ).
tff(c_11514,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_12148,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12144,c_11514]) ).
tff(c_44,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_11550,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_11514,c_44]) ).
tff(c_11556,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_11586,plain,
! [X_138,Y_139,Z_140] : ( multiply(multiply(X_138,Y_139),Z_140) = multiply(X_138,multiply(Y_139,Z_140)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11628,plain,
! [Z_140] : ( multiply(sk_c9,multiply(sk_c1,Z_140)) = multiply(identity,Z_140) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_11586]) ).
tff(c_11648,plain,
! [Z_141] : ( multiply(sk_c9,multiply(sk_c1,Z_141)) = Z_141 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11628]) ).
tff(c_11660,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_11556,c_11648]) ).
tff(c_11664,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_11660]) ).
tff(c_11679,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11664,c_97]) ).
tff(c_11675,plain,
multiply(sk_c2,sk_c7) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11664,c_123]) ).
tff(c_11634,plain,
! [X_2,Z_140] : ( multiply(inverse(X_2),multiply(X_2,Z_140)) = multiply(identity,Z_140) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11586]) ).
tff(c_11829,plain,
! [X_144,Z_145] : ( multiply(inverse(X_144),multiply(X_144,Z_145)) = Z_145 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11634]) ).
tff(c_11850,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11675,c_11829]) ).
tff(c_11887,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11679,c_11850]) ).
tff(c_11674,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11664,c_128]) ).
tff(c_11856,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11674,c_11829]) ).
tff(c_11889,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11856]) ).
tff(c_11672,plain,
multiply(sk_c7,sk_c3) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11664,c_11514]) ).
tff(c_11907,plain,
multiply(sk_c7,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11889,c_11672]) ).
tff(c_12012,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11887,c_11907]) ).
tff(c_11670,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11664,c_11550]) ).
tff(c_11920,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11889,c_11670]) ).
tff(c_11513,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_11673,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11664,c_11513]) ).
tff(c_52,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_11578,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11514,c_52]) ).
tff(c_11666,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11664,c_11578]) ).
tff(c_11646,plain,
! [X_2,Z_140] : ( multiply(inverse(X_2),multiply(X_2,Z_140)) = Z_140 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11634]) ).
tff(c_11899,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11666,c_11646]) ).
tff(c_11905,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11673,c_11899]) ).
tff(c_12037,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11920,c_11905]) ).
tff(c_12038,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12012,c_12037]) ).
tff(c_12039,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_11518,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11513,c_4]) ).
tff(c_12100,plain,
! [Z_149] : ( multiply(sk_c9,multiply(sk_c6,Z_149)) = multiply(identity,Z_149) ),
inference(superposition,[status(thm),theory(equality)],[c_11518,c_12070]) ).
tff(c_12169,plain,
! [Z_152] : ( multiply(sk_c9,multiply(sk_c6,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12100]) ).
tff(c_12181,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_12039,c_12169]) ).
tff(c_12185,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11550,c_12181]) ).
tff(c_12187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12148,c_12185]) ).
tff(c_12189,plain,
multiply(sk_c9,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_14,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_12246,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_12189,c_14]) ).
tff(c_12376,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12370,c_12246]) ).
tff(c_12217,plain,
inverse(sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_12189,c_12]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c5) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_12240,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_12189,c_10]) ).
tff(c_12377,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12370,c_12240]) ).
tff(c_12314,plain,
! [X_2,Z_155] : ( multiply(inverse(X_2),multiply(X_2,Z_155)) = multiply(identity,Z_155) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12266]) ).
tff(c_12326,plain,
! [X_2,Z_155] : ( multiply(inverse(X_2),multiply(X_2,Z_155)) = Z_155 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12314]) ).
tff(c_12541,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_12377,c_12326]) ).
tff(c_12547,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12376,c_12217,c_12541]) ).
tff(c_12259,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_12189,c_8]) ).
tff(c_12375,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12370,c_12259]) ).
tff(c_12658,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12547,c_12547,c_12375]) ).
tff(c_12665,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12658,c_12326]) ).
tff(c_12672,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12665]) ).
tff(c_12209,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_12308,plain,
! [Z_155] : ( multiply(sk_c9,multiply(sk_c1,Z_155)) = multiply(identity,Z_155) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_12266]) ).
tff(c_12328,plain,
! [Z_156] : ( multiply(sk_c9,multiply(sk_c1,Z_156)) = Z_156 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12308]) ).
tff(c_12340,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_12209,c_12328]) ).
tff(c_12344,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12340,c_12189]) ).
tff(c_12372,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12370,c_12344]) ).
tff(c_12556,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12547,c_12372]) ).
tff(c_12676,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12672,c_12556]) ).
tff(c_12373,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12370,c_12370,c_12340]) ).
tff(c_12724,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12547,c_12547,c_12547,c_12373]) ).
tff(c_12734,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_12724,c_12326]) ).
tff(c_12741,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12734]) ).
tff(c_12743,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12676,c_12741]) ).
tff(c_12744,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_12804,plain,
! [X_163,Y_164,Z_165] : ( multiply(multiply(X_163,Y_164),Z_165) = multiply(X_163,multiply(Y_164,Z_165)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12846,plain,
! [Z_165] : ( multiply(sk_c9,multiply(sk_c2,Z_165)) = multiply(identity,Z_165) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_12804]) ).
tff(c_12876,plain,
! [Z_167] : ( multiply(sk_c9,multiply(sk_c2,Z_167)) = Z_167 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12846]) ).
tff(c_12888,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_123,c_12876]) ).
tff(c_12892,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12202,c_12888]) ).
tff(c_12745,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_12769,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_12745,c_22]) ).
tff(c_12900,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12892,c_12769]) ).
tff(c_12849,plain,
! [X_2,Z_165] : ( multiply(inverse(X_2),multiply(X_2,Z_165)) = multiply(identity,Z_165) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12804]) ).
tff(c_12861,plain,
! [X_2,Z_165] : ( multiply(inverse(X_2),multiply(X_2,Z_165)) = Z_165 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12849]) ).
tff(c_13101,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_12900,c_12861]) ).
tff(c_13107,plain,
multiply(sk_c5,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12744,c_13101]) ).
tff(c_13141,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13107,c_12861]) ).
tff(c_13147,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13141]) ).
tff(c_12776,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_12745,c_26]) ).
tff(c_12899,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12892,c_12776]) ).
tff(c_13137,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13107,c_12899]) ).
tff(c_13188,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13147,c_13137]) ).
tff(c_12907,plain,
multiply(sk_c8,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12892,c_114]) ).
tff(c_13155,plain,
multiply(sk_c5,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13137,c_12907]) ).
tff(c_13285,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13188,c_13155]) ).
tff(c_12901,plain,
multiply(sk_c1,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12892,c_12745]) ).
tff(c_13152,plain,
multiply(sk_c1,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13137,c_13137,c_12901]) ).
tff(c_13314,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13285,c_13188,c_13188,c_13152]) ).
tff(c_13316,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_13527,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_13523,c_13316]) ).
tff(c_13352,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_13316,c_44]) ).
tff(c_12188,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_16,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_13362,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12189,c_16]) ).
tff(c_13426,plain,
! [X_2,Z_175] : ( multiply(inverse(X_2),multiply(X_2,Z_175)) = multiply(identity,Z_175) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13381]) ).
tff(c_13546,plain,
! [X_179,Z_180] : ( multiply(inverse(X_179),multiply(X_179,Z_180)) = Z_180 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13426]) ).
tff(c_13588,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_13362,c_13546]) ).
tff(c_13642,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_13352,c_12188,c_13588]) ).
tff(c_13644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13527,c_13642]) ).
tff(c_13646,plain,
multiply(sk_c2,sk_c9) != sk_c3,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_56,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_13723,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_13646,c_56]) ).
tff(c_13913,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_13911,c_13723]) ).
tff(c_13645,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_13922,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13911,c_13645]) ).
tff(c_64,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_13716,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13646,c_64]) ).
tff(c_13914,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13911,c_13716]) ).
tff(c_14065,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13914,c_14029]) ).
tff(c_14103,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13913,c_13922,c_14065]) ).
tff(c_14115,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14105,c_14103]) ).
tff(c_13926,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13911,c_97]) ).
tff(c_14122,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14115,c_13926]) ).
tff(c_14168,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14122,c_4]) ).
tff(c_13788,plain,
! [X_2,Z_183] : ( multiply(inverse(X_2),multiply(X_2,Z_183)) = Z_183 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13776]) ).
tff(c_14209,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_14168,c_13788]) ).
tff(c_14221,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14209]) ).
tff(c_13660,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_13919,plain,
multiply(sk_c7,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_13911,c_13660]) ).
tff(c_14107,plain,
multiply(sk_c7,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14105,c_13919]) ).
tff(c_14200,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14115,c_14107]) ).
tff(c_13921,plain,
multiply(sk_c2,sk_c7) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_13911,c_13646]) ).
tff(c_14118,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_14115,c_13921]) ).
tff(c_14315,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14221,c_14200,c_14118]) ).
tff(c_14317,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_14356,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14317,c_20]) ).
tff(c_14361,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13646,c_64]) ).
tff(c_13650,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13645,c_4]) ).
tff(c_14377,plain,
! [X_189,Y_190,Z_191] : ( multiply(multiply(X_189,Y_190),Z_191) = multiply(X_189,multiply(Y_190,Z_191)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14413,plain,
! [Z_191] : ( multiply(sk_c9,multiply(sk_c6,Z_191)) = multiply(identity,Z_191) ),
inference(superposition,[status(thm),theory(equality)],[c_13650,c_14377]) ).
tff(c_14810,plain,
! [Z_199] : ( multiply(sk_c9,multiply(sk_c6,Z_199)) = Z_199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14413]) ).
tff(c_14822,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_14361,c_14810]) ).
tff(c_14826,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_14356,c_14822]) ).
tff(c_14348,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_14317,c_26]) ).
tff(c_14965,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_14826,c_14348]) ).
tff(c_14316,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_58,plain,
( ( multiply(sk_c4,sk_c5) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_14341,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_13646,c_58]) ).
tff(c_14966,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_14826,c_14341]) ).
tff(c_14422,plain,
! [X_2,Z_191] : ( multiply(inverse(X_2),multiply(X_2,Z_191)) = multiply(identity,Z_191) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14377]) ).
tff(c_15063,plain,
! [X_202,Z_203] : ( multiply(inverse(X_202),multiply(X_202,Z_203)) = Z_203 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14422]) ).
tff(c_15081,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14966,c_15063]) ).
tff(c_15130,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14965,c_14316,c_15081]) ).
tff(c_15141,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15130,c_15130,c_14965]) ).
tff(c_14434,plain,
! [X_2,Z_191] : ( multiply(inverse(X_2),multiply(X_2,Z_191)) = Z_191 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14422]) ).
tff(c_15223,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_15141,c_14434]) ).
tff(c_15229,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15223]) ).
tff(c_14973,plain,
multiply(sk_c8,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14826,c_114]) ).
tff(c_15138,plain,
multiply(sk_c5,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15130,c_14973]) ).
tff(c_15346,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15229,c_15138]) ).
tff(c_14967,plain,
multiply(sk_c1,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_14826,c_14317]) ).
tff(c_15137,plain,
multiply(sk_c1,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15130,c_15130,c_14967]) ).
tff(c_15367,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15346,c_15229,c_15229,c_15137]) ).
tff(c_15368,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_15369,plain,
multiply(sk_c9,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_15866,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_15369,c_8]) ).
tff(c_15410,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_13646,c_56]) ).
tff(c_15416,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13646,c_64]) ).
tff(c_15433,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_15469,plain,
! [Z_207] : ( multiply(sk_c9,multiply(sk_c6,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_13650,c_15433]) ).
tff(c_15532,plain,
! [Z_210] : ( multiply(sk_c9,multiply(sk_c6,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15469]) ).
tff(c_15544,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_15416,c_15532]) ).
tff(c_15548,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_15410,c_15544]) ).
tff(c_15555,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_15548,c_15410]) ).
tff(c_15478,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_15433]) ).
tff(c_15490,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_15478]) ).
tff(c_15672,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15555,c_15490]) ).
tff(c_15678,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15672]) ).
tff(c_15394,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_15472,plain,
! [Z_207] : ( multiply(sk_c9,multiply(sk_c1,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_15433]) ).
tff(c_15492,plain,
! [Z_208] : ( multiply(sk_c9,multiply(sk_c1,Z_208)) = Z_208 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15472]) ).
tff(c_15504,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_15394,c_15492]) ).
tff(c_15517,plain,
! [X3_8,X2_10,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( multiply(inverse(X2_10),sk_c8) != sk_c9 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 )
| ( sk_c9 != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15504,c_15410,c_80]) ).
tff(c_15518,plain,
sk_c9 != sk_c7,
inference(splitLeft,[status(thm)],[c_15517]) ).
tff(c_15551,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15548,c_15518]) ).
tff(c_15700,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15678,c_15551]) ).
tff(c_15552,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_15548,c_15548,c_15504]) ).
tff(c_15813,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15552,c_15490]) ).
tff(c_15820,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15813]) ).
tff(c_15822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15700,c_15820]) ).
tff(c_15824,plain,
sk_c9 = sk_c7,
inference(splitRight,[status(thm)],[c_15517]) ).
tff(c_15508,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15504,c_15369]) ).
tff(c_15859,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15824,c_15508]) ).
tff(c_15860,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_15900,plain,
! [X_216,Y_217,Z_218] : ( multiply(multiply(X_216,Y_217),Z_218) = multiply(X_216,multiply(Y_217,Z_218)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15933,plain,
! [Z_218] : ( multiply(sk_c9,multiply(sk_c6,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_13650,c_15900]) ).
tff(c_15984,plain,
! [Z_221] : ( multiply(sk_c9,multiply(sk_c6,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15933]) ).
tff(c_15996,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_15860,c_15984]) ).
tff(c_16000,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_15866,c_15996]) ).
tff(c_15871,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_15369,c_10]) ).
tff(c_16005,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16000,c_15871]) ).
tff(c_15942,plain,
! [X_2,Z_218] : ( multiply(inverse(X_2),multiply(X_2,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15900]) ).
tff(c_15954,plain,
! [X_2,Z_218] : ( multiply(inverse(X_2),multiply(X_2,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15942]) ).
tff(c_16089,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16005,c_15954]) ).
tff(c_16095,plain,
multiply(sk_c5,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15368,c_16089]) ).
tff(c_16214,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16095,c_15954]) ).
tff(c_16220,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16214]) ).
tff(c_16006,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16000,c_15866]) ).
tff(c_16132,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16006,c_15954]) ).
tff(c_16138,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16132]) ).
tff(c_16009,plain,
multiply(sk_c8,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16000,c_15369]) ).
tff(c_16141,plain,
multiply(sk_c8,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16138,c_16009]) ).
tff(c_16343,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16220,c_2,c_16220,c_16141]) ).
tff(c_16345,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_16393,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16345,c_44]) ).
tff(c_16492,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16489,c_16393]) ).
tff(c_16728,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16631,c_16492]) ).
tff(c_16500,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16489,c_13645]) ).
tff(c_16400,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16345,c_52]) ).
tff(c_16491,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16489,c_16400]) ).
tff(c_16720,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16491,c_16471]) ).
tff(c_16726,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16500,c_16720]) ).
tff(c_16771,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16728,c_16726]) ).
tff(c_17144,plain,
! [X_237] : ( multiply(X_237,inverse(X_237)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_17123,c_4]) ).
tff(c_16541,plain,
! [X4_11,X6_7,X2_10,X3_8] :
( ( multiply(sk_c7,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 )
| ( multiply(inverse(X2_10),sk_c8) != sk_c7 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_16516]) ).
tff(c_25653,plain,
! [X4_11,X6_7,X2_10,X3_8] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X2_10) != identity )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17130,c_16771,c_16771,c_16771,c_17144,c_16771,c_17130,c_16771,c_16631,c_17130,c_16771,c_2,c_16771,c_16631,c_16771,c_17130,c_16771,c_16631,c_16771,c_16771,c_2,c_16771,c_16631,c_16541]) ).
tff(c_25655,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_25653]) ).
tff(c_16502,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16489,c_110]) ).
tff(c_16786,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16771,c_16502]) ).
tff(c_16825,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16786,c_4]) ).
tff(c_16832,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_16825,c_16471]) ).
tff(c_16844,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16832]) ).
tff(c_16848,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16844,c_16786]) ).
tff(c_25657,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25655,c_16848]) ).
tff(c_25658,plain,
! [X2_10,X4_11,X6_7] :
( ( inverse(X2_10) != identity )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_25653]) ).
tff(c_27488,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_25658]) ).
tff(c_27490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27488,c_16848]) ).
tff(c_27491,plain,
! [X4_11,X2_10] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X2_10) != identity ) ),
inference(splitRight,[status(thm)],[c_25658]) ).
tff(c_27492,plain,
! [X2_10] : ( inverse(X2_10) != identity ),
inference(splitLeft,[status(thm)],[c_27491]) ).
tff(c_27494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27492,c_16848]) ).
tff(c_27496,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_27491]) ).
tff(c_27498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27496,c_16848]) ).
tff(c_27499,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_27512,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16345,c_52]) ).
tff(c_27528,plain,
! [X_342,Y_343,Z_344] : ( multiply(multiply(X_342,Y_343),Z_344) = multiply(X_342,multiply(Y_343,Z_344)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_27561,plain,
! [Z_344] : ( multiply(sk_c9,multiply(sk_c6,Z_344)) = multiply(identity,Z_344) ),
inference(superposition,[status(thm),theory(equality)],[c_13650,c_27528]) ).
tff(c_27646,plain,
! [Z_348] : ( multiply(sk_c9,multiply(sk_c6,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27561]) ).
tff(c_27658,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_27512,c_27646]) ).
tff(c_27662,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27499,c_27658]) ).
tff(c_27564,plain,
! [Z_344] : ( multiply(sk_c9,multiply(sk_c1,Z_344)) = multiply(identity,Z_344) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_27528]) ).
tff(c_27584,plain,
! [Z_345] : ( multiply(sk_c9,multiply(sk_c1,Z_345)) = Z_345 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27564]) ).
tff(c_27596,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_16381,c_27584]) ).
tff(c_27709,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27662,c_27662,c_27596]) ).
tff(c_27570,plain,
! [X_2,Z_344] : ( multiply(inverse(X_2),multiply(X_2,Z_344)) = multiply(identity,Z_344) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27528]) ).
tff(c_27582,plain,
! [X_2,Z_344] : ( multiply(inverse(X_2),multiply(X_2,Z_344)) = Z_344 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27570]) ).
tff(c_27799,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27709,c_27582]) ).
tff(c_27805,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27799]) ).
tff(c_27500,plain,
multiply(sk_c9,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_27600,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_27596,c_27500]) ).
tff(c_27708,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_27662,c_27600]) ).
tff(c_27811,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27805,c_27708]) ).
tff(c_27719,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27662,c_13645]) ).
tff(c_27731,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27719,c_4]) ).
tff(c_27818,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27805,c_27731]) ).
tff(c_27711,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_27662,c_27512]) ).
tff(c_27916,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27818,c_27805,c_27711]) ).
tff(c_27917,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27811,c_27916]) ).
tff(c_27919,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_27929,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_27919,c_20]) ).
tff(c_27918,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_27951,plain,
! [X_353,Y_354,Z_355] : ( multiply(multiply(X_353,Y_354),Z_355) = multiply(X_353,multiply(Y_354,Z_355)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_27984,plain,
! [Z_355] : ( multiply(sk_c9,multiply(sk_c6,Z_355)) = multiply(identity,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_13650,c_27951]) ).
tff(c_28606,plain,
! [Z_370] : ( multiply(sk_c9,multiply(sk_c6,Z_370)) = Z_370 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27984]) ).
tff(c_28618,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_27918,c_28606]) ).
tff(c_28622,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27929,c_28618]) ).
tff(c_50,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_16375,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_16345,c_50]) ).
tff(c_28631,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_28622,c_16375]) ).
tff(c_16344,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c5) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_16370,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_16345,c_46]) ).
tff(c_28632,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_28622,c_16370]) ).
tff(c_27993,plain,
! [X_2,Z_355] : ( multiply(inverse(X_2),multiply(X_2,Z_355)) = multiply(identity,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27951]) ).
tff(c_28756,plain,
! [X_372,Z_373] : ( multiply(inverse(X_372),multiply(X_372,Z_373)) = Z_373 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27993]) ).
tff(c_28777,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_28632,c_28756]) ).
tff(c_28826,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28631,c_16344,c_28777]) ).
tff(c_16349,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16344,c_4]) ).
tff(c_27981,plain,
! [Z_355] : ( multiply(sk_c5,multiply(sk_c4,Z_355)) = multiply(identity,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_16349,c_27951]) ).
tff(c_28477,plain,
! [Z_367] : ( multiply(sk_c5,multiply(sk_c4,Z_367)) = Z_367 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27981]) ).
tff(c_28489,plain,
multiply(sk_c5,sk_c9) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16370,c_28477]) ).
tff(c_28624,plain,
multiply(sk_c5,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28622,c_28489]) ).
tff(c_28900,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28826,c_28624]) ).
tff(c_28005,plain,
! [X_2,Z_355] : ( multiply(inverse(X_2),multiply(X_2,Z_355)) = Z_355 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27993]) ).
tff(c_28904,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_28900,c_28005]) ).
tff(c_28910,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28904]) ).
tff(c_28638,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_28622,c_110]) ).
tff(c_28675,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28638,c_4]) ).
tff(c_28834,plain,
multiply(sk_c5,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28826,c_28675]) ).
tff(c_29045,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28910,c_28834]) ).
tff(c_28629,plain,
multiply(sk_c1,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_28622,c_27919]) ).
tff(c_28833,plain,
multiply(sk_c1,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28826,c_28826,c_28629]) ).
tff(c_29055,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29045,c_28910,c_28910,c_28833]) ).
tff(c_29056,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_29057,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_32,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_29101,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_29057,c_32]) ).
tff(c_40,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_29094,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29057,c_40]) ).
tff(c_42,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_29069,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_29057,c_42]) ).
tff(c_29073,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29069,c_4]) ).
tff(c_29156,plain,
! [Z_378] : ( multiply(sk_c9,multiply(sk_c6,Z_378)) = multiply(identity,Z_378) ),
inference(superposition,[status(thm),theory(equality)],[c_29073,c_29129]) ).
tff(c_29178,plain,
! [Z_379] : ( multiply(sk_c9,multiply(sk_c6,Z_379)) = Z_379 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29156]) ).
tff(c_29190,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_29094,c_29178]) ).
tff(c_29194,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29101,c_29190]) ).
tff(c_34,plain,
( ( multiply(sk_c4,sk_c5) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_29106,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_29057,c_34]) ).
tff(c_29196,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29194,c_29106]) ).
tff(c_29688,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_29196,c_29670]) ).
tff(c_29725,plain,
multiply(sk_c5,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29056,c_29688]) ).
tff(c_29785,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29725,c_29176]) ).
tff(c_29791,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29785]) ).
tff(c_29197,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29194,c_29101]) ).
tff(c_29740,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29197,c_29176]) ).
tff(c_29746,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29740]) ).
tff(c_30051,plain,
! [X_390] : ( multiply(X_390,inverse(X_390)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_30030,c_4]) ).
tff(c_38,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_29089,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_29057,c_38]) ).
tff(c_29199,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29194,c_29089]) ).
tff(c_29263,plain,
! [X_380,Z_381] : ( multiply(inverse(X_380),multiply(X_380,Z_381)) = Z_381 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29165]) ).
tff(c_29281,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_29196,c_29263]) ).
tff(c_29318,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29199,c_29056,c_29281]) ).
tff(c_29321,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29318,c_29318,c_29199]) ).
tff(c_29485,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_29321,c_29176]) ).
tff(c_29492,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29485]) ).
tff(c_29371,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29318,c_29318,c_29197]) ).
tff(c_29375,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29371,c_29176]) ).
tff(c_29381,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29375]) ).
tff(c_29216,plain,
! [X3_8,X2_10,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(X3_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X2_10),sk_c8) != sk_c8 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != 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 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29194,c_29194,c_29194,c_29194,c_29194,c_29194,c_29194,c_29194,c_29194,c_29194,c_29194,c_80]) ).
tff(c_29217,plain,
multiply(sk_c8,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_29216]) ).
tff(c_29323,plain,
multiply(sk_c5,sk_c5) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29318,c_29318,c_29217]) ).
tff(c_29622,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29492,c_2,c_29492,c_29381,c_29323]) ).
tff(c_29623,plain,
! [X4_11,X6_7,X2_10,X3_8] :
( ( multiply(sk_c8,sk_c7) != sk_c8 )
| ( 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 )
| ( multiply(inverse(X2_10),sk_c8) != sk_c8 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(X3_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_29216]) ).
tff(c_37906,plain,
! [X4_11,X6_7,X2_10,X3_8] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X2_10) != identity )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30037,c_29791,c_29746,c_29791,c_30051,c_29791,c_30037,c_29791,c_29791,c_30037,c_29791,c_29791,c_2,c_29791,c_29791,c_30037,c_29791,c_29791,c_29791,c_29791,c_2,c_29791,c_29746,c_29623]) ).
tff(c_37908,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_37906]) ).
tff(c_29781,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29725,c_29199]) ).
tff(c_29829,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29791,c_29781]) ).
tff(c_29204,plain,
inverse(sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29194,c_97]) ).
tff(c_29628,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29204,c_4]) ).
tff(c_29798,plain,
multiply(sk_c5,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29781,c_29628]) ).
tff(c_29932,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29829,c_29798]) ).
tff(c_29800,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29781,c_29204]) ).
tff(c_29893,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29829,c_29800]) ).
tff(c_29933,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29932,c_29893]) ).
tff(c_37910,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37908,c_29933]) ).
tff(c_37911,plain,
! [X2_10,X4_11,X6_7] :
( ( inverse(X2_10) != identity )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_37906]) ).
tff(c_41106,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_37911]) ).
tff(c_41108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41106,c_29933]) ).
tff(c_41109,plain,
! [X4_11,X2_10] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X2_10) != identity ) ),
inference(splitRight,[status(thm)],[c_37911]) ).
tff(c_41110,plain,
! [X2_10] : ( inverse(X2_10) != identity ),
inference(splitLeft,[status(thm)],[c_41109]) ).
tff(c_41112,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41110,c_29933]) ).
tff(c_41114,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_41109]) ).
tff(c_41116,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41114,c_29933]) ).
tff(c_41118,plain,
inverse(sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_68,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_41164,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_41118,c_68]) ).
tff(c_76,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_41175,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_41118,c_76]) ).
tff(c_78,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_41132,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_41118,c_78]) ).
tff(c_41136,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41132,c_4]) ).
tff(c_41233,plain,
! [Z_503] : ( multiply(sk_c9,multiply(sk_c6,Z_503)) = multiply(identity,Z_503) ),
inference(superposition,[status(thm),theory(equality)],[c_41136,c_41203]) ).
tff(c_41252,plain,
! [Z_504] : ( multiply(sk_c9,multiply(sk_c6,Z_504)) = Z_504 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41233]) ).
tff(c_41264,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_41175,c_41252]) ).
tff(c_41268,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41164,c_41264]) ).
tff(c_74,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_41155,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_41118,c_74]) ).
tff(c_41273,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41268,c_41155]) ).
tff(c_41117,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_70,plain,
( ( multiply(sk_c4,sk_c5) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_41182,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_41118,c_70]) ).
tff(c_41270,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41268,c_41182]) ).
tff(c_41701,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_41270,c_41250]) ).
tff(c_41707,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41273,c_41117,c_41701]) ).
tff(c_41722,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41707,c_41707,c_41273]) ).
tff(c_41772,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_41722,c_41250]) ).
tff(c_41778,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41772]) ).
tff(c_41786,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41778,c_41707]) ).
tff(c_41272,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41268,c_41164]) ).
tff(c_41654,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41272,c_41633]) ).
tff(c_41688,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41654]) ).
tff(c_41958,plain,
! [X_513] : ( multiply(X_513,inverse(X_513)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_41937,c_4]) ).
tff(c_41374,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_41270,c_41250]) ).
tff(c_41380,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41273,c_41117,c_41374]) ).
tff(c_41383,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41380,c_41380,c_41273]) ).
tff(c_41530,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_41383,c_41250]) ).
tff(c_41537,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41530]) ).
tff(c_41431,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41380,c_41380,c_41272]) ).
tff(c_41435,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41431,c_41250]) ).
tff(c_41441,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41435]) ).
tff(c_41290,plain,
! [X3_8,X2_10,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(X3_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X2_10),sk_c8) != sk_c8 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != 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 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41268,c_41268,c_41268,c_41268,c_41268,c_41268,c_41268,c_41268,c_41268,c_41268,c_41268,c_80]) ).
tff(c_41291,plain,
multiply(sk_c8,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_41290]) ).
tff(c_41490,plain,
multiply(sk_c5,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_41441,c_41380,c_41380,c_41291]) ).
tff(c_41523,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_41383,c_41490]) ).
tff(c_41587,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41537,c_41523]) ).
tff(c_41588,plain,
! [X4_11,X6_7,X2_10,X3_8] :
( ( multiply(sk_c8,sk_c7) != sk_c8 )
| ( 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 )
| ( multiply(inverse(X2_10),sk_c8) != sk_c8 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(X3_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_41290]) ).
tff(c_50173,plain,
! [X4_11,X6_7,X2_10,X3_8] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X2_10) != identity )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41944,c_41786,c_41688,c_41786,c_41958,c_41786,c_41944,c_41786,c_41786,c_41944,c_41786,c_41786,c_2,c_41786,c_41786,c_41944,c_41786,c_41786,c_41786,c_41786,c_2,c_41786,c_41688,c_41588]) ).
tff(c_50175,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_50173]) ).
tff(c_41277,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41268,c_41132]) ).
tff(c_41726,plain,
inverse(sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41707,c_41277]) ).
tff(c_41742,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41726,c_4]) ).
tff(c_41794,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41778,c_41742]) ).
tff(c_41783,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41778,c_41726]) ).
tff(c_41817,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41794,c_41783]) ).
tff(c_50177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50175,c_41817]) ).
tff(c_50178,plain,
! [X2_10,X4_11,X6_7] :
( ( inverse(X2_10) != identity )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_50173]) ).
tff(c_52018,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_50178]) ).
tff(c_52020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52018,c_41817]) ).
tff(c_52021,plain,
! [X4_11,X2_10] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X2_10) != identity ) ),
inference(splitRight,[status(thm)],[c_50178]) ).
tff(c_52022,plain,
! [X2_10] : ( inverse(X2_10) != identity ),
inference(splitLeft,[status(thm)],[c_52021]) ).
tff(c_52654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52022,c_41817]) ).
tff(c_52656,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_52021]) ).
tff(c_52658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52656,c_41817]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP280-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:23:46 EDT 2023
% 0.14/0.36 % CPUTime :
% 15.47/5.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.53/5.74
% 15.53/5.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.92/5.81
% 15.92/5.81 Inference rules
% 15.92/5.81 ----------------------
% 15.92/5.81 #Ref : 0
% 15.92/5.81 #Sup : 13083
% 15.92/5.81 #Fact : 0
% 15.92/5.81 #Define : 0
% 15.92/5.81 #Split : 47
% 15.92/5.81 #Chain : 0
% 15.92/5.81 #Close : 0
% 15.92/5.81
% 15.92/5.81 Ordering : KBO
% 15.92/5.81
% 15.92/5.81 Simplification rules
% 15.92/5.81 ----------------------
% 15.92/5.81 #Subsume : 13
% 15.92/5.81 #Demod : 31766
% 15.92/5.81 #Tautology : 10591
% 15.92/5.81 #SimpNegUnit : 140
% 15.92/5.81 #BackRed : 750
% 15.92/5.81
% 15.92/5.81 #Partial instantiations: 0
% 15.92/5.81 #Strategies tried : 1
% 15.92/5.81
% 15.92/5.81 Timing (in seconds)
% 15.92/5.81 ----------------------
% 15.92/5.81 Preprocessing : 0.58
% 15.92/5.81 Parsing : 0.22
% 15.92/5.81 CNF conversion : 0.03
% 15.92/5.81 Main loop : 4.05
% 15.92/5.81 Inferencing : 1.12
% 15.92/5.81 Reduction : 2.17
% 15.92/5.81 Demodulation : 1.95
% 15.92/5.81 BG Simplification : 0.11
% 15.92/5.81 Subsumption : 0.41
% 15.92/5.81 Abstraction : 0.22
% 15.92/5.81 MUC search : 0.00
% 15.92/5.81 Cooper : 0.00
% 15.92/5.81 Total : 4.77
% 15.92/5.81 Index Insertion : 0.00
% 15.92/5.81 Index Deletion : 0.00
% 15.92/5.81 Index Matching : 0.00
% 15.92/5.81 BG Taut test : 0.00
%------------------------------------------------------------------------------