TSTP Solution File: GRP293-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP293-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n017.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 10:40:49 EDT 2023
% Result : Unsatisfiable 17.84s 9.00s
% Output : CNFRefutation 18.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 50
% Syntax : Number of formulae : 612 ( 500 unt; 11 typ; 0 def)
% Number of atoms : 881 ( 846 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 587 ( 307 ~; 280 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 289 (; 289 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_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_c8) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X3,sk_c8) != sk_c7 )
| ( inverse(X3) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( multiply(X4,sk_c8) != sk_c6 )
| ( inverse(X4) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( inverse(X1) != sk_c7 )
| ( multiply(sk_c8,X2) != sk_c7 )
| ( multiply(X5,sk_c8) != X2 )
| ( inverse(X5) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c6 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
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_56647,plain,
! [X_545,Y_546,Z_547] : ( multiply(multiply(X_545,Y_546),Z_547) = multiply(X_545,multiply(Y_546,Z_547)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_56680,plain,
! [X_2,Z_547] : ( multiply(inverse(X_2),multiply(X_2,Z_547)) = multiply(identity,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_56647]) ).
tff(c_56690,plain,
! [X_2,Z_547] : ( multiply(inverse(X_2),multiply(X_2,Z_547)) = Z_547 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56680]) ).
tff(c_56786,plain,
! [X_549,Z_550] : ( multiply(inverse(X_549),multiply(X_549,Z_550)) = Z_550 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56680]) ).
tff(c_57072,plain,
! [X_554,Z_555] : ( multiply(inverse(inverse(X_554)),Z_555) = multiply(X_554,Z_555) ),
inference(superposition,[status(thm),theory(equality)],[c_56690,c_56786]) ).
tff(c_56822,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_56786]) ).
tff(c_57079,plain,
! [X_554] : ( multiply(X_554,identity) = X_554 ),
inference(superposition,[status(thm),theory(equality)],[c_57072,c_56822]) ).
tff(c_16868,plain,
! [X_224,Y_225,Z_226] : ( multiply(multiply(X_224,Y_225),Z_226) = multiply(X_224,multiply(Y_225,Z_226)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16904,plain,
! [X_2,Z_226] : ( multiply(inverse(X_2),multiply(X_2,Z_226)) = multiply(identity,Z_226) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16868]) ).
tff(c_16915,plain,
! [X_2,Z_226] : ( multiply(inverse(X_2),multiply(X_2,Z_226)) = Z_226 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16904]) ).
tff(c_17546,plain,
! [X_238,Z_239] : ( multiply(inverse(X_238),multiply(X_238,Z_239)) = Z_239 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16904]) ).
tff(c_17806,plain,
! [X_242,Z_243] : ( multiply(inverse(inverse(X_242)),Z_243) = multiply(X_242,Z_243) ),
inference(superposition,[status(thm),theory(equality)],[c_16915,c_17546]) ).
tff(c_17567,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17546]) ).
tff(c_17813,plain,
! [X_242] : ( multiply(X_242,identity) = X_242 ),
inference(superposition,[status(thm),theory(equality)],[c_17806,c_17567]) ).
tff(c_66,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_123,plain,
multiply(sk_c2,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_72,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_97,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_101,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_14399,plain,
! [X_178,Y_179,Z_180] : ( multiply(multiply(X_178,Y_179),Z_180) = multiply(X_178,multiply(Y_179,Z_180)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14441,plain,
! [Z_180] : ( multiply(sk_c8,multiply(sk_c2,Z_180)) = multiply(identity,Z_180) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_14399]) ).
tff(c_14484,plain,
! [Z_182] : ( multiply(sk_c8,multiply(sk_c2,Z_182)) = Z_182 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14441]) ).
tff(c_14496,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_123,c_14484]) ).
tff(c_48,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_13654,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_14113,plain,
! [X_171,Y_172,Z_173] : ( multiply(multiply(X_171,Y_172),Z_173) = multiply(X_171,multiply(Y_172,Z_173)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14155,plain,
! [Z_173] : ( multiply(sk_c8,multiply(sk_c2,Z_173)) = multiply(identity,Z_173) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_14113]) ).
tff(c_14185,plain,
! [Z_175] : ( multiply(sk_c8,multiply(sk_c2,Z_175)) = Z_175 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14155]) ).
tff(c_14197,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_123,c_14185]) ).
tff(c_14201,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13654,c_14197]) ).
tff(c_14211,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14201,c_13654]) ).
tff(c_14158,plain,
! [X_2,Z_173] : ( multiply(inverse(X_2),multiply(X_2,Z_173)) = multiply(identity,Z_173) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14113]) ).
tff(c_14252,plain,
! [X_176,Z_177] : ( multiply(inverse(X_176),multiply(X_176,Z_177)) = Z_177 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14158]) ).
tff(c_14270,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14211,c_14252]) ).
tff(c_14298,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14270]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_133,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_12361,plain,
! [X_136,Y_137,Z_138] : ( multiply(multiply(X_136,Y_137),Z_138) = multiply(X_136,multiply(Y_137,Z_138)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12406,plain,
! [Z_138] : ( multiply(sk_c8,multiply(sk_c2,Z_138)) = multiply(identity,Z_138) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_12361]) ).
tff(c_12436,plain,
! [Z_140] : ( multiply(sk_c8,multiply(sk_c2,Z_140)) = Z_140 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12406]) ).
tff(c_12448,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_123,c_12436]) ).
tff(c_12452,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_133,c_12448]) ).
tff(c_12462,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12452,c_133]) ).
tff(c_12409,plain,
! [X_2,Z_138] : ( multiply(inverse(X_2),multiply(X_2,Z_138)) = multiply(identity,Z_138) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12361]) ).
tff(c_12421,plain,
! [X_2,Z_138] : ( multiply(inverse(X_2),multiply(X_2,Z_138)) = Z_138 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12409]) ).
tff(c_12582,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12462,c_12421]) ).
tff(c_12588,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12582]) ).
tff(c_18,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_128,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_12463,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12452,c_128]) ).
tff(c_12631,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12588,c_12463]) ).
tff(c_171,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_204,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_171]) ).
tff(c_375,plain,
! [X_19,Z_20] : ( multiply(inverse(X_19),multiply(X_19,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_214,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_694,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_705,plain,
! [X_24] : ( multiply(X_24,identity) = X_24 ),
inference(superposition,[status(thm),theory(equality)],[c_694,c_417]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_141,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_36,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( 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_15] : ( multiply(sk_c8,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_171]) ).
tff(c_216,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_198]) ).
tff(c_228,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_141,c_216]) ).
tff(c_232,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_228]) ).
tff(c_80,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_246,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 )
| ( multiply(sk_c6,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c6 ) ),
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_c6,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_246]) ).
tff(c_239,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_110]) ).
tff(c_234,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_141]) ).
tff(c_277,plain,
! [X_17,Z_18] : ( multiply(inverse(X_17),multiply(X_17,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_295,plain,
multiply(inverse(sk_c1),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_234,c_277]) ).
tff(c_317,plain,
multiply(sk_c6,sk_c7) = sk_c6,
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_c6,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_246]) ).
tff(c_405,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_321,c_375]) ).
tff(c_425,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_405]) ).
tff(c_235,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_133]) ).
tff(c_426,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_425,c_235]) ).
tff(c_241,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_97]) ).
tff(c_237,plain,
multiply(sk_c2,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_123]) ).
tff(c_436,plain,
multiply(inverse(sk_c2),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_237,c_214]) ).
tff(c_442,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_241,c_436]) ).
tff(c_480,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_426,c_442]) ).
tff(c_320,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( multiply(sk_c6,sk_c6) != sk_c7 )
| ( multiply(sk_c7,sk_c6) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_246]) ).
tff(c_8457,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_705,c_480,c_2,c_480,c_425,c_480,c_705,c_480,c_425,c_425,c_705,c_480,c_480,c_480,c_705,c_480,c_425,c_480,c_2,c_425,c_480,c_2,c_480,c_425,c_320]) ).
tff(c_8459,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8457]) ).
tff(c_488,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_480,c_239]) ).
tff(c_534,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_488,c_4]) ).
tff(c_554,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_534,c_214]) ).
tff(c_566,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_554]) ).
tff(c_571,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_566,c_488]) ).
tff(c_8461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8459,c_571]) ).
tff(c_8462,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_8457]) ).
tff(c_11670,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8462]) ).
tff(c_11672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11670,c_571]) ).
tff(c_11673,plain,
! [X4_10,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_8462]) ).
tff(c_11675,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_11673]) ).
tff(c_11677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11675,c_571]) ).
tff(c_12293,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_11673]) ).
tff(c_12295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12293,c_571]) ).
tff(c_12297,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_24,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_12310,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12297,c_24]) ).
tff(c_22,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_12347,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_12297,c_22]) ).
tff(c_12456,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12452,c_12347]) ).
tff(c_12677,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12456,c_12421]) ).
tff(c_12683,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12631,c_12310,c_12677]) ).
tff(c_12466,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12452,c_110]) ).
tff(c_12693,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12683,c_12466]) ).
tff(c_12730,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12693,c_4]) ).
tff(c_12883,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_12730,c_12421]) ).
tff(c_12895,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12883]) ).
tff(c_12460,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12452,c_12297]) ).
tff(c_12686,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12683,c_12683,c_12460]) ).
tff(c_12899,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12895,c_12686]) ).
tff(c_12904,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12899]) ).
tff(c_12906,plain,
multiply(sk_c8,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_44,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_12942,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_12906,c_44]) ).
tff(c_28,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_12948,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_12978,plain,
! [X_145,Y_146,Z_147] : ( multiply(multiply(X_145,Y_146),Z_147) = multiply(X_145,multiply(Y_146,Z_147)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13020,plain,
! [Z_147] : ( multiply(sk_c8,multiply(sk_c1,Z_147)) = multiply(identity,Z_147) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_12978]) ).
tff(c_13040,plain,
! [Z_148] : ( multiply(sk_c8,multiply(sk_c1,Z_148)) = Z_148 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13020]) ).
tff(c_13052,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_12948,c_13040]) ).
tff(c_13056,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_13052]) ).
tff(c_13066,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13056,c_128]) ).
tff(c_13026,plain,
! [X_2,Z_147] : ( multiply(inverse(X_2),multiply(X_2,Z_147)) = multiply(identity,Z_147) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12978]) ).
tff(c_13221,plain,
! [X_151,Z_152] : ( multiply(inverse(X_151),multiply(X_151,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13026]) ).
tff(c_13248,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13066,c_13221]) ).
tff(c_13281,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13248]) ).
tff(c_12920,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12906,c_48]) ).
tff(c_13285,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13281,c_12920]) ).
tff(c_46,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_12962,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_12906,c_46]) ).
tff(c_13059,plain,
multiply(sk_c3,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13056,c_12962]) ).
tff(c_13326,plain,
multiply(sk_c3,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13281,c_13059]) ).
tff(c_13038,plain,
! [X_2,Z_147] : ( multiply(inverse(X_2),multiply(X_2,Z_147)) = Z_147 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13026]) ).
tff(c_13330,plain,
multiply(inverse(sk_c3),sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13326,c_13038]) ).
tff(c_13336,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13285,c_13330]) ).
tff(c_13064,plain,
multiply(sk_c6,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13056,c_12906]) ).
tff(c_13312,plain,
multiply(sk_c6,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13281,c_13064]) ).
tff(c_13341,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13336,c_13336,c_13312]) ).
tff(c_13352,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13341]) ).
tff(c_13354,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_13361,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_13354,c_22]) ).
tff(c_12924,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12920,c_4]) ).
tff(c_13384,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_13411,plain,
! [Z_155] : ( multiply(sk_c7,multiply(sk_c3,Z_155)) = multiply(identity,Z_155) ),
inference(superposition,[status(thm),theory(equality)],[c_12924,c_13384]) ).
tff(c_13482,plain,
! [Z_158] : ( multiply(sk_c7,multiply(sk_c3,Z_158)) = Z_158 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13411]) ).
tff(c_13494,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13361,c_13482]) ).
tff(c_13498,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12942,c_13494]) ).
tff(c_13426,plain,
! [Z_155] : ( multiply(sk_c8,multiply(sk_c2,Z_155)) = multiply(identity,Z_155) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_13384]) ).
tff(c_13456,plain,
! [Z_157] : ( multiply(sk_c8,multiply(sk_c2,Z_157)) = Z_157 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13426]) ).
tff(c_13468,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_123,c_13456]) ).
tff(c_13472,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13468,c_12906]) ).
tff(c_13500,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13498,c_13472]) ).
tff(c_26,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_13366,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13354,c_26]) ).
tff(c_13501,plain,
multiply(sk_c8,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13498,c_13366]) ).
tff(c_12905,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_13353,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_13429,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_13384]) ).
tff(c_13559,plain,
! [X_160,Z_161] : ( multiply(inverse(X_160),multiply(X_160,Z_161)) = Z_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13429]) ).
tff(c_13604,plain,
multiply(inverse(sk_c4),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13353,c_13559]) ).
tff(c_13637,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13501,c_12905,c_13604]) ).
tff(c_13639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13500,c_13637]) ).
tff(c_13641,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_14213,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14201,c_13641]) ).
tff(c_14329,plain,
multiply(sk_c7,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14298,c_14213]) ).
tff(c_13682,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_13718,plain,
! [X_162,Y_163,Z_164] : ( multiply(multiply(X_162,Y_163),Z_164) = multiply(X_162,multiply(Y_163,Z_164)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13760,plain,
! [Z_164] : ( multiply(sk_c8,multiply(sk_c1,Z_164)) = multiply(identity,Z_164) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_13718]) ).
tff(c_13780,plain,
! [Z_165] : ( multiply(sk_c8,multiply(sk_c1,Z_165)) = Z_165 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13760]) ).
tff(c_13792,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13682,c_13780]) ).
tff(c_13796,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13792,c_13641]) ).
tff(c_13763,plain,
! [Z_164] : ( multiply(sk_c8,multiply(sk_c2,Z_164)) = multiply(identity,Z_164) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_13718]) ).
tff(c_13807,plain,
! [Z_166] : ( multiply(sk_c8,multiply(sk_c2,Z_166)) = Z_166 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13763]) ).
tff(c_13819,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_123,c_13807]) ).
tff(c_13823,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13654,c_13819]) ).
tff(c_13875,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13823,c_13654]) ).
tff(c_13766,plain,
! [X_2,Z_164] : ( multiply(inverse(X_2),multiply(X_2,Z_164)) = multiply(identity,Z_164) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13718]) ).
tff(c_13778,plain,
! [X_2,Z_164] : ( multiply(inverse(X_2),multiply(X_2,Z_164)) = Z_164 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13766]) ).
tff(c_13954,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13875,c_13778]) ).
tff(c_13960,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13954]) ).
tff(c_8,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_13713,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13641,c_8]) ).
tff(c_13805,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( sk_c8 != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13792,c_13654,c_13713,c_80]) ).
tff(c_13806,plain,
sk_c8 != sk_c6,
inference(splitLeft,[status(thm)],[c_13805]) ).
tff(c_13867,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13823,c_13806]) ).
tff(c_13963,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13960,c_13867]) ).
tff(c_13870,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13823,c_13713]) ).
tff(c_14015,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13960,c_13870]) ).
tff(c_13880,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13823,c_110]) ).
tff(c_13874,plain,
multiply(sk_c1,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13823,c_13682]) ).
tff(c_14064,plain,
multiply(inverse(sk_c1),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13874,c_13778]) ).
tff(c_14070,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14015,c_13880,c_14064]) ).
tff(c_14072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13963,c_14070]) ).
tff(c_14074,plain,
sk_c8 = sk_c6,
inference(splitRight,[status(thm)],[c_13805]) ).
tff(c_14075,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13796,c_14074]) ).
tff(c_14077,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_20,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_14100,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14077,c_20]) ).
tff(c_14206,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14201,c_14100]) ).
tff(c_14330,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14298,c_14206]) ).
tff(c_14331,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14329,c_14330]) ).
tff(c_14333,plain,
multiply(sk_c8,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_14500,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14496,c_14333]) ).
tff(c_14,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_14371,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13641,c_14]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_14366,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_13641,c_16]) ).
tff(c_13640,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_13645,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13640,c_4]) ).
tff(c_14432,plain,
! [Z_180] : ( multiply(sk_c8,multiply(sk_c4,Z_180)) = multiply(identity,Z_180) ),
inference(superposition,[status(thm),theory(equality)],[c_13645,c_14399]) ).
tff(c_14508,plain,
! [Z_183] : ( multiply(sk_c8,multiply(sk_c4,Z_183)) = Z_183 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14432]) ).
tff(c_14520,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14366,c_14508]) ).
tff(c_14524,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14371,c_14520]) ).
tff(c_14526,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14500,c_14524]) ).
tff(c_14528,plain,
multiply(sk_c2,sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_62,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_15565,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14528,c_62]) ).
tff(c_64,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c2,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_15584,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_14528,c_64]) ).
tff(c_14527,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_14532,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14527,c_4]) ).
tff(c_15604,plain,
! [X_201,Y_202,Z_203] : ( multiply(multiply(X_201,Y_202),Z_203) = multiply(X_201,multiply(Y_202,Z_203)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15640,plain,
! [Z_203] : ( multiply(sk_c8,multiply(sk_c4,Z_203)) = multiply(identity,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_14532,c_15604]) ).
tff(c_15819,plain,
! [Z_210] : ( multiply(sk_c8,multiply(sk_c4,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15640]) ).
tff(c_15831,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15584,c_15819]) ).
tff(c_15835,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15565,c_15831]) ).
tff(c_14542,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_15845,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15835,c_14542]) ).
tff(c_15649,plain,
! [X_2,Z_203] : ( multiply(inverse(X_2),multiply(X_2,Z_203)) = multiply(identity,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15604]) ).
tff(c_15984,plain,
! [X_212,Z_213] : ( multiply(inverse(X_212),multiply(X_212,Z_213)) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15649]) ).
tff(c_16002,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15845,c_15984]) ).
tff(c_16054,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16002]) ).
tff(c_56,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_15597,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14528,c_56]) ).
tff(c_15839,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15835,c_15597]) ).
tff(c_15166,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14528,c_62]) ).
tff(c_15181,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_14528,c_64]) ).
tff(c_15202,plain,
! [X_192,Y_193,Z_194] : ( multiply(multiply(X_192,Y_193),Z_194) = multiply(X_192,multiply(Y_193,Z_194)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15238,plain,
! [Z_194] : ( multiply(sk_c8,multiply(sk_c4,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_14532,c_15202]) ).
tff(c_15300,plain,
! [Z_197] : ( multiply(sk_c8,multiply(sk_c4,Z_197)) = Z_197 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15238]) ).
tff(c_15312,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15181,c_15300]) ).
tff(c_15316,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15166,c_15312]) ).
tff(c_15327,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15316,c_14542]) ).
tff(c_15247,plain,
! [X_2,Z_194] : ( multiply(inverse(X_2),multiply(X_2,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15202]) ).
tff(c_15259,plain,
! [X_2,Z_194] : ( multiply(inverse(X_2),multiply(X_2,Z_194)) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15247]) ).
tff(c_15487,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15327,c_15259]) ).
tff(c_15493,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15487]) ).
tff(c_14549,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_15241,plain,
! [Z_194] : ( multiply(sk_c8,multiply(sk_c1,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_15202]) ).
tff(c_15261,plain,
! [Z_195] : ( multiply(sk_c8,multiply(sk_c1,Z_195)) = Z_195 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15241]) ).
tff(c_15273,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14549,c_15261]) ).
tff(c_12,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_14557,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_14610,plain,
! [X_184,Y_185,Z_186] : ( multiply(multiply(X_184,Y_185),Z_186) = multiply(X_184,multiply(Y_185,Z_186)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14652,plain,
! [Z_186] : ( multiply(sk_c8,multiply(sk_c1,Z_186)) = multiply(identity,Z_186) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_14610]) ).
tff(c_14672,plain,
! [Z_187] : ( multiply(sk_c8,multiply(sk_c1,Z_187)) = Z_187 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14652]) ).
tff(c_14684,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14549,c_14672]) ).
tff(c_14688,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14557,c_14684]) ).
tff(c_14708,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 )
| ( multiply(sk_c6,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14688,c_14688,c_14688,c_14688,c_14688,c_14688,c_14688,c_14688,c_14688,c_14688,c_14688,c_80]) ).
tff(c_14709,plain,
multiply(sk_c6,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_14708]) ).
tff(c_14694,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14688,c_14557]) ).
tff(c_14739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14709,c_14694]) ).
tff(c_14741,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_14708]) ).
tff(c_14658,plain,
! [X_2,Z_186] : ( multiply(inverse(X_2),multiply(X_2,Z_186)) = multiply(identity,Z_186) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14610]) ).
tff(c_14670,plain,
! [X_2,Z_186] : ( multiply(inverse(X_2),multiply(X_2,Z_186)) = Z_186 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14658]) ).
tff(c_14809,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14741,c_14670]) ).
tff(c_14815,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14809]) ).
tff(c_60,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_14566,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14528,c_60]) ).
tff(c_14819,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14815,c_14566]) ).
tff(c_58,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_14574,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14528,c_58]) ).
tff(c_14693,plain,
multiply(sk_c3,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14688,c_14574]) ).
tff(c_14961,plain,
multiply(sk_c3,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14815,c_14693]) ).
tff(c_14965,plain,
multiply(inverse(sk_c3),sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14961,c_14670]) ).
tff(c_14971,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14819,c_14965]) ).
tff(c_14702,plain,
multiply(sk_c6,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14688,c_101]) ).
tff(c_14976,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14971,c_14702]) ).
tff(c_15120,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_14976,c_14670]) ).
tff(c_15132,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15120]) ).
tff(c_14698,plain,
multiply(sk_c2,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14688,c_14528]) ).
tff(c_14977,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14971,c_14971,c_14698]) ).
tff(c_15146,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15132,c_14977]) ).
tff(c_15148,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_15277,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15273,c_15148]) ).
tff(c_15319,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15316,c_15277]) ).
tff(c_15499,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15493,c_15319]) ).
tff(c_15320,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15316,c_15316,c_15273]) ).
tff(c_15531,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15320,c_15259]) ).
tff(c_15537,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15531]) ).
tff(c_15539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15499,c_15537]) ).
tff(c_15540,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_15577,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14528,c_58]) ).
tff(c_15841,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15835,c_15577]) ).
tff(c_16023,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15841,c_15984]) ).
tff(c_16057,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15839,c_15540,c_16023]) ).
tff(c_16073,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16054,c_16057]) ).
tff(c_15850,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15835,c_110]) ).
tff(c_15890,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15850,c_4]) ).
tff(c_16145,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16073,c_15890]) ).
tff(c_15541,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_15844,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15835,c_15541]) ).
tff(c_16074,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16073,c_16073,c_15844]) ).
tff(c_16183,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16145,c_16074]) ).
tff(c_16185,plain,
multiply(sk_c8,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_50,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_16240,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16185,c_50]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_16210,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_16185,c_52]) ).
tff(c_16250,plain,
! [X_214,Y_215,Z_216] : ( multiply(multiply(X_214,Y_215),Z_216) = multiply(X_214,multiply(Y_215,Z_216)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16283,plain,
! [Z_216] : ( multiply(sk_c8,multiply(sk_c4,Z_216)) = multiply(identity,Z_216) ),
inference(superposition,[status(thm),theory(equality)],[c_14532,c_16250]) ).
tff(c_16332,plain,
! [Z_219] : ( multiply(sk_c8,multiply(sk_c4,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16283]) ).
tff(c_16344,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16210,c_16332]) ).
tff(c_16348,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16240,c_16344]) ).
tff(c_16376,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16348,c_16348,c_16348,c_16348,c_16348,c_16348,c_16348,c_16348,c_16348,c_16348,c_16348,c_80]) ).
tff(c_16377,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_16376]) ).
tff(c_16222,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14528,c_56]) ).
tff(c_16354,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16348,c_16222]) ).
tff(c_16400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16377,c_16354]) ).
tff(c_16402,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_16376]) ).
tff(c_16184,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_16230,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16185,c_46]) ).
tff(c_16353,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16348,c_16230]) ).
tff(c_16292,plain,
! [X_2,Z_216] : ( multiply(inverse(X_2),multiply(X_2,Z_216)) = multiply(identity,Z_216) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16250]) ).
tff(c_16304,plain,
! [X_2,Z_216] : ( multiply(inverse(X_2),multiply(X_2,Z_216)) = Z_216 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16292]) ).
tff(c_16485,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16353,c_16304]) ).
tff(c_16491,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16184,c_16485]) ).
tff(c_16602,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16402,c_16491]) ).
tff(c_16362,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16348,c_110]) ).
tff(c_16613,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16602,c_16362]) ).
tff(c_16642,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16613,c_4]) ).
tff(c_16352,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16348,c_16240]) ).
tff(c_16518,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16352,c_16304]) ).
tff(c_16524,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16518]) ).
tff(c_16526,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16524,c_16352]) ).
tff(c_16692,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16602,c_16602,c_16526]) ).
tff(c_16615,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16602,c_16348]) ).
tff(c_16271,plain,
! [Z_216] : ( multiply(sk_c7,multiply(sk_c8,Z_216)) = multiply(sk_c6,Z_216) ),
inference(superposition,[status(thm),theory(equality)],[c_16222,c_16250]) ).
tff(c_16646,plain,
! [Z_216] : ( multiply(sk_c6,multiply(sk_c6,Z_216)) = multiply(sk_c6,Z_216) ),
inference(demodulation,[status(thm),theory(equality)],[c_16615,c_16602,c_16271]) ).
tff(c_16712,plain,
multiply(sk_c6,sk_c1) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_16642,c_16646]) ).
tff(c_16721,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16642,c_16692,c_16712]) ).
tff(c_16364,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16348,c_97]) ).
tff(c_16612,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16602,c_16364]) ).
tff(c_16632,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16612,c_4]) ).
tff(c_16789,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16721,c_16632]) ).
tff(c_16359,plain,
multiply(sk_c2,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16348,c_14528]) ).
tff(c_16607,plain,
multiply(sk_c2,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16602,c_16359]) ).
tff(c_16788,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16721,c_16721,c_16607]) ).
tff(c_16790,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16789,c_16788]) ).
tff(c_16794,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16790]) ).
tff(c_16796,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_38,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_16829,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16796,c_38]) ).
tff(c_40,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_16839,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_16796,c_40]) ).
tff(c_42,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_16808,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16796,c_42]) ).
tff(c_16812,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16808,c_4]) ).
tff(c_16895,plain,
! [Z_226] : ( multiply(sk_c8,multiply(sk_c4,Z_226)) = multiply(identity,Z_226) ),
inference(superposition,[status(thm),theory(equality)],[c_16812,c_16868]) ).
tff(c_16917,plain,
! [Z_227] : ( multiply(sk_c8,multiply(sk_c4,Z_227)) = Z_227 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16895]) ).
tff(c_16929,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16839,c_16917]) ).
tff(c_16933,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16829,c_16929]) ).
tff(c_32,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_16846,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16796,c_32]) ).
tff(c_16935,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16846,c_80]) ).
tff(c_16936,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_16935]) ).
tff(c_16965,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16933,c_16936]) ).
tff(c_16938,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16933,c_16846]) ).
tff(c_17068,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16965,c_16938]) ).
tff(c_17070,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_16935]) ).
tff(c_17092,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16933,c_17070]) ).
tff(c_34,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_16834,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16796,c_34]) ).
tff(c_17074,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16933,c_16834]) ).
tff(c_16795,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_16800,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16795,c_4]) ).
tff(c_16898,plain,
! [Z_226] : ( multiply(sk_c7,multiply(sk_c3,Z_226)) = multiply(identity,Z_226) ),
inference(superposition,[status(thm),theory(equality)],[c_16800,c_16868]) ).
tff(c_17506,plain,
! [Z_237] : ( multiply(sk_c7,multiply(sk_c3,Z_237)) = Z_237 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16898]) ).
tff(c_17518,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17074,c_17506]) ).
tff(c_17522,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17092,c_17518]) ).
tff(c_17533,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17522,c_17522,c_17092]) ).
tff(c_17634,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17533,c_16915]) ).
tff(c_17640,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17634]) ).
tff(c_17649,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17640,c_17522]) ).
tff(c_17073,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16933,c_16839]) ).
tff(c_17075,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16933,c_16829]) ).
tff(c_16886,plain,
! [Z_226] : ( multiply(sk_c4,multiply(sk_c8,Z_226)) = multiply(sk_c5,Z_226) ),
inference(superposition,[status(thm),theory(equality)],[c_16839,c_16868]) ).
tff(c_17167,plain,
! [Z_231] : ( multiply(sk_c4,multiply(sk_c7,Z_231)) = multiply(sk_c5,Z_231) ),
inference(demodulation,[status(thm),theory(equality)],[c_16933,c_16886]) ).
tff(c_17185,plain,
multiply(sk_c5,sk_c5) = multiply(sk_c4,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_17075,c_17167]) ).
tff(c_17198,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17073,c_17185]) ).
tff(c_17283,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_17198,c_16915]) ).
tff(c_17289,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17283]) ).
tff(c_17149,plain,
! [Z_230] : ( multiply(sk_c7,multiply(sk_c3,Z_230)) = Z_230 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16898]) ).
tff(c_17161,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17074,c_17149]) ).
tff(c_17165,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17092,c_17161]) ).
tff(c_17204,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17165,c_17165,c_17075]) ).
tff(c_17333,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17289,c_17204]) ).
tff(c_17212,plain,
multiply(sk_c6,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17165,c_16800]) ).
tff(c_17211,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17165,c_16933]) ).
tff(c_16883,plain,
! [Z_226] : ( multiply(sk_c7,multiply(sk_c8,Z_226)) = multiply(sk_c6,Z_226) ),
inference(superposition,[status(thm),theory(equality)],[c_16846,c_16868]) ).
tff(c_17358,plain,
! [Z_234] : ( multiply(sk_c6,multiply(sk_c6,Z_234)) = multiply(sk_c6,Z_234) ),
inference(demodulation,[status(thm),theory(equality)],[c_17211,c_17165,c_16883]) ).
tff(c_17382,plain,
multiply(sk_c6,sk_c3) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_17212,c_17358]) ).
tff(c_17393,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17333,c_17212,c_17382]) ).
tff(c_17069,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_16935]) ).
tff(c_17146,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( multiply(sk_c7,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16933,c_16933,c_16933,c_16933,c_16933,c_16933,c_16933,c_16933,c_16933,c_17069]) ).
tff(c_17147,plain,
multiply(sk_c7,sk_c6) != sk_c7,
inference(splitLeft,[status(thm)],[c_17146]) ).
tff(c_17201,plain,
multiply(sk_c6,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17165,c_17165,c_17147]) ).
tff(c_17481,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17393,c_17201]) ).
tff(c_17482,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_17146]) ).
tff(c_24874,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17813,c_17649,c_17649,c_17649,c_17813,c_17649,c_17640,c_17649,c_17813,c_17649,c_17649,c_17649,c_17813,c_17649,c_17649,c_2,c_17649,c_17649,c_17482]) ).
tff(c_24876,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_24874]) ).
tff(c_17537,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17522,c_16795]) ).
tff(c_17590,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17537,c_4]) ).
tff(c_17692,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17640,c_17590]) ).
tff(c_17646,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17640,c_17537]) ).
tff(c_17693,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17692,c_17646]) ).
tff(c_24878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24876,c_17693]) ).
tff(c_24879,plain,
! [X4_10,X1_8,X5_6] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(splitRight,[status(thm)],[c_24874]) ).
tff(c_46330,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_24879]) ).
tff(c_46332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46330,c_17693]) ).
tff(c_46333,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 ) ),
inference(splitRight,[status(thm)],[c_24879]) ).
tff(c_47474,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_46333]) ).
tff(c_47476,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47474,c_17693]) ).
tff(c_47478,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_46333]) ).
tff(c_47480,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47478,c_17693]) ).
tff(c_47482,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_74,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_47511,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_47482,c_74]) ).
tff(c_47567,plain,
! [X_436,Y_437,Z_438] : ( multiply(multiply(X_436,Y_437),Z_438) = multiply(X_436,multiply(Y_437,Z_438)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_47603,plain,
! [X_2,Z_438] : ( multiply(inverse(X_2),multiply(X_2,Z_438)) = multiply(identity,Z_438) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47567]) ).
tff(c_47614,plain,
! [X_2,Z_438] : ( multiply(inverse(X_2),multiply(X_2,Z_438)) = Z_438 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47603]) ).
tff(c_48364,plain,
! [X_450,Z_451] : ( multiply(inverse(X_450),multiply(X_450,Z_451)) = Z_451 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47603]) ).
tff(c_48715,plain,
! [X_456,Z_457] : ( multiply(inverse(inverse(X_456)),Z_457) = multiply(X_456,Z_457) ),
inference(superposition,[status(thm),theory(equality)],[c_47614,c_48364]) ).
tff(c_48418,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_48364]) ).
tff(c_48726,plain,
! [X_456] : ( multiply(X_456,identity) = X_456 ),
inference(superposition,[status(thm),theory(equality)],[c_48715,c_48418]) ).
tff(c_68,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_47543,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_47482,c_68]) ).
tff(c_70,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_47531,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_47482,c_70]) ).
tff(c_47481,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_47486,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47481,c_4]) ).
tff(c_47600,plain,
! [Z_438] : ( multiply(sk_c7,multiply(sk_c3,Z_438)) = multiply(identity,Z_438) ),
inference(superposition,[status(thm),theory(equality)],[c_47486,c_47567]) ).
tff(c_47869,plain,
! [Z_443] : ( multiply(sk_c7,multiply(sk_c3,Z_443)) = Z_443 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47600]) ).
tff(c_47881,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_47531,c_47869]) ).
tff(c_47885,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47543,c_47881]) ).
tff(c_47949,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47885,c_47543]) ).
tff(c_48382,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_47949,c_48364]) ).
tff(c_48425,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48382]) ).
tff(c_47951,plain,
multiply(sk_c8,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47885,c_47511]) ).
tff(c_78,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_47490,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_47482,c_78]) ).
tff(c_76,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_47538,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_47482,c_76]) ).
tff(c_48403,plain,
multiply(inverse(sk_c4),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_47538,c_48364]) ).
tff(c_48427,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47951,c_47490,c_48403]) ).
tff(c_48442,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48425,c_48427]) ).
tff(c_47494,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47490,c_4]) ).
tff(c_47597,plain,
! [Z_438] : ( multiply(sk_c8,multiply(sk_c4,Z_438)) = multiply(identity,Z_438) ),
inference(superposition,[status(thm),theory(equality)],[c_47494,c_47567]) ).
tff(c_48005,plain,
! [Z_444] : ( multiply(sk_c8,multiply(sk_c4,Z_444)) = Z_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47597]) ).
tff(c_48017,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_47538,c_48005]) ).
tff(c_48021,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47951,c_48017]) ).
tff(c_47619,plain,
! [Z_439] : ( multiply(sk_c7,multiply(sk_c3,Z_439)) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47600]) ).
tff(c_47631,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_47531,c_47619]) ).
tff(c_47635,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47543,c_47631]) ).
tff(c_47638,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47635,c_47543]) ).
tff(c_47705,plain,
! [X_441,Z_442] : ( multiply(inverse(X_441),multiply(X_441,Z_442)) = Z_442 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47603]) ).
tff(c_47726,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_47638,c_47705]) ).
tff(c_47767,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_47726]) ).
tff(c_47617,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47543,c_80]) ).
tff(c_47618,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_47617]) ).
tff(c_47637,plain,
multiply(sk_c8,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47635,c_47618]) ).
tff(c_47859,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47767,c_47637]) ).
tff(c_47860,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_47617]) ).
tff(c_47886,plain,
multiply(sk_c8,sk_c6) != sk_c7,
inference(splitLeft,[status(thm)],[c_47860]) ).
tff(c_47905,plain,
multiply(sk_c8,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47885,c_47886]) ).
tff(c_47861,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_47617]) ).
tff(c_47888,plain,
multiply(sk_c8,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47885,c_47861]) ).
tff(c_47936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47905,c_47888]) ).
tff(c_47938,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_47860]) ).
tff(c_47946,plain,
multiply(sk_c8,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47885,c_47938]) ).
tff(c_48026,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_48021,c_47946]) ).
tff(c_48074,plain,
! [X_445,Z_446] : ( multiply(inverse(X_445),multiply(X_445,Z_446)) = Z_446 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47603]) ).
tff(c_48095,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_48026,c_48074]) ).
tff(c_48124,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48095]) ).
tff(c_47517,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_48029,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_48021,c_47517]) ).
tff(c_48055,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48029,c_4]) ).
tff(c_48148,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48124,c_48055]) ).
tff(c_48127,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48124,c_48029]) ).
tff(c_48173,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48148,c_48127]) ).
tff(c_48275,plain,
! [X_447] : ( multiply(inverse(inverse(X_447)),identity) = X_447 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_48074]) ).
tff(c_48281,plain,
! [X_447] : ( multiply(inverse(inverse(inverse(X_447))),X_447) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_48275,c_47614]) ).
tff(c_48131,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48124,c_48021]) ).
tff(c_47937,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_47860]) ).
tff(c_48003,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47885,c_47885,c_47885,c_47885,c_47937]) ).
tff(c_48004,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_48003]) ).
tff(c_48339,plain,
! [X3_449] :
( ( inverse(X3_449) != identity )
| ( multiply(X3_449,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48131,c_48124,c_48131,c_48004]) ).
tff(c_48343,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_48281,c_48339]) ).
tff(c_48362,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48173,c_48173,c_48173,c_48173,c_48343]) ).
tff(c_48363,plain,
! [X4_10,X1_8,X5_6] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_48003]) ).
tff(c_56588,plain,
! [X4_10,X1_8,X5_6] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48726,c_48442,c_48425,c_2,c_48425,c_48425,c_48726,c_48442,c_48425,c_48442,c_48726,c_48442,c_48425,c_48425,c_48363]) ).
tff(c_56590,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_56588]) ).
tff(c_47953,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47885,c_47481]) ).
tff(c_48448,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48442,c_47953]) ).
tff(c_48523,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48448,c_4]) ).
tff(c_48580,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_48523,c_47614]) ).
tff(c_48592,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48580]) ).
tff(c_48597,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48592,c_48448]) ).
tff(c_56592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56590,c_48597]) ).
tff(c_56593,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 ) ),
inference(splitRight,[status(thm)],[c_56588]) ).
tff(c_56595,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_56593]) ).
tff(c_56597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56595,c_48597]) ).
tff(c_56600,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_56593]) ).
tff(c_56602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56600,c_48597]) ).
tff(c_56603,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_56674,plain,
! [Z_547] : ( multiply(sk_c8,multiply(sk_c4,Z_547)) = multiply(identity,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_47494,c_56647]) ).
tff(c_56692,plain,
! [Z_548] : ( multiply(sk_c8,multiply(sk_c4,Z_548)) = Z_548 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56674]) ).
tff(c_56704,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_56603,c_56692]) ).
tff(c_56708,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47511,c_56704]) ).
tff(c_56609,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_47482,c_68]) ).
tff(c_56711,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_56708,c_56609]) ).
tff(c_56617,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_47482,c_70]) ).
tff(c_56710,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_56708,c_56617]) ).
tff(c_56804,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_56710,c_56786]) ).
tff(c_56829,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_56711,c_47481,c_56804]) ).
tff(c_56729,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56708,c_56708,c_56708,c_56708,c_56708,c_56708,c_56708,c_56708,c_56708,c_56708,c_56708,c_80]) ).
tff(c_56730,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_56729]) ).
tff(c_56769,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56711,c_56730]) ).
tff(c_56771,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_56729]) ).
tff(c_56913,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_56829,c_56829,c_56771]) ).
tff(c_56920,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_56913,c_56690]) ).
tff(c_56927,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_56920]) ).
tff(c_56938,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56927,c_56829]) ).
tff(c_56770,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( multiply(sk_c7,sk_c6) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_56729]) ).
tff(c_65434,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57079,c_56938,c_56938,c_2,c_56938,c_56938,c_57079,c_56938,c_56938,c_56938,c_57079,c_56938,c_56927,c_56938,c_57079,c_56938,c_56938,c_56938,c_56938,c_2,c_56938,c_56927,c_56938,c_2,c_56938,c_56927,c_56770]) ).
tff(c_65436,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_65434]) ).
tff(c_56716,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_56708,c_47490]) ).
tff(c_56832,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_56829,c_56716]) ).
tff(c_56852,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_56832,c_4]) ).
tff(c_56949,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56927,c_56852]) ).
tff(c_56936,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56927,c_56832]) ).
tff(c_56968,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56949,c_56936]) ).
tff(c_65438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65436,c_56968]) ).
tff(c_65439,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_65434]) ).
tff(c_83103,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_65439]) ).
tff(c_83105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83103,c_56968]) ).
tff(c_83106,plain,
! [X4_10,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_65439]) ).
tff(c_83108,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_83106]) ).
tff(c_83110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83108,c_56968]) ).
tff(c_84211,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_83106]) ).
tff(c_84213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84211,c_56968]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP293-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 21:48:07 EDT 2023
% 0.15/0.35 % CPUTime :
% 17.84/9.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.84/9.05
% 17.84/9.05 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.25/9.12
% 18.25/9.12 Inference rules
% 18.25/9.12 ----------------------
% 18.25/9.12 #Ref : 0
% 18.25/9.12 #Sup : 20477
% 18.25/9.12 #Fact : 0
% 18.25/9.12 #Define : 0
% 18.25/9.12 #Split : 42
% 18.25/9.12 #Chain : 0
% 18.25/9.12 #Close : 0
% 18.25/9.12
% 18.25/9.12 Ordering : KBO
% 18.25/9.12
% 18.25/9.12 Simplification rules
% 18.25/9.12 ----------------------
% 18.25/9.12 #Subsume : 5
% 18.25/9.12 #Demod : 61435
% 18.25/9.12 #Tautology : 16643
% 18.25/9.12 #SimpNegUnit : 114
% 18.25/9.12 #BackRed : 550
% 18.25/9.12
% 18.25/9.12 #Partial instantiations: 0
% 18.25/9.12 #Strategies tried : 1
% 18.25/9.12
% 18.25/9.12 Timing (in seconds)
% 18.25/9.12 ----------------------
% 18.25/9.12 Preprocessing : 0.53
% 18.25/9.12 Parsing : 0.20
% 18.25/9.13 CNF conversion : 0.03
% 18.25/9.13 Main loop : 7.46
% 18.25/9.13 Inferencing : 1.76
% 18.25/9.13 Reduction : 4.72
% 18.25/9.13 Demodulation : 4.44
% 18.25/9.13 BG Simplification : 0.15
% 18.25/9.13 Subsumption : 0.56
% 18.25/9.13 Abstraction : 0.44
% 18.25/9.13 MUC search : 0.00
% 18.25/9.13 Cooper : 0.00
% 18.25/9.13 Total : 8.12
% 18.25/9.13 Index Insertion : 0.00
% 18.25/9.13 Index Deletion : 0.00
% 18.25/9.13 Index Matching : 0.00
% 18.25/9.13 BG Taut test : 0.00
%------------------------------------------------------------------------------