TSTP Solution File: GRP364-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP364-1 : 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 : n002.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 10:41:04 EDT 2023
% Result : Unsatisfiable 24.24s 13.67s
% Output : CNFRefutation 24.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 50
% Syntax : Number of formulae : 663 ( 556 unt; 12 typ; 0 def)
% Number of atoms : 888 ( 853 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 498 ( 261 ~; 237 |; 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 : 287 (; 287 !; 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_116,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c2 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c9,sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( multiply(sk_c7,sk_c9) != sk_c8 )
| ( multiply(sk_c9,X4) != sk_c8 )
| ( multiply(X5,sk_c9) != X4 )
| ( inverse(X5) != sk_c9 )
| ( multiply(X6,sk_c7) != sk_c9 )
| ( inverse(X6) != sk_c7 )
| ( multiply(sk_c9,sk_c8) != sk_c7 )
| ( multiply(X1,sk_c9) != sk_c8 )
| ( inverse(X1) != sk_c9 )
| ( multiply(sk_c9,X2) != sk_c8 )
| ( multiply(X3,sk_c9) != X2 )
| ( inverse(X3) != sk_c9 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c9,sk_c2) = sk_c8 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c9,sk_c2) = sk_c8 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c9,sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c9,sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c2 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c2 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c2 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c2 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c2 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_111001,plain,
! [X_880,Y_881,Z_882] : ( multiply(multiply(X_880,Y_881),Z_882) = multiply(X_880,multiply(Y_881,Z_882)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_111034,plain,
! [X_2,Z_882] : ( multiply(inverse(X_2),multiply(X_2,Z_882)) = multiply(identity,Z_882) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_111001]) ).
tff(c_111455,plain,
! [X_888,Z_889] : ( multiply(inverse(X_888),multiply(X_888,Z_889)) = Z_889 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_111034]) ).
tff(c_111044,plain,
! [X_2,Z_882] : ( multiply(inverse(X_2),multiply(X_2,Z_882)) = Z_882 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_111034]) ).
tff(c_111838,plain,
! [X_894,Z_895] : ( multiply(inverse(inverse(X_894)),Z_895) = multiply(X_894,Z_895) ),
inference(superposition,[status(thm),theory(equality)],[c_111455,c_111044]) ).
tff(c_111494,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_111455]) ).
tff(c_111845,plain,
! [X_894] : ( multiply(X_894,identity) = X_894 ),
inference(superposition,[status(thm),theory(equality)],[c_111838,c_111494]) ).
tff(c_47151,plain,
! [X_457,Y_458,Z_459] : ( multiply(multiply(X_457,Y_458),Z_459) = multiply(X_457,multiply(Y_458,Z_459)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_47187,plain,
! [X_2,Z_459] : ( multiply(inverse(X_2),multiply(X_2,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47151]) ).
tff(c_47198,plain,
! [X_2,Z_459] : ( multiply(inverse(X_2),multiply(X_2,Z_459)) = Z_459 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47187]) ).
tff(c_47647,plain,
! [X_465,Z_466] : ( multiply(inverse(X_465),multiply(X_465,Z_466)) = Z_466 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47187]) ).
tff(c_48062,plain,
! [X_471,Z_472] : ( multiply(inverse(inverse(X_471)),Z_472) = multiply(X_471,Z_472) ),
inference(superposition,[status(thm),theory(equality)],[c_47198,c_47647]) ).
tff(c_47689,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47647]) ).
tff(c_48069,plain,
! [X_471] : ( multiply(X_471,identity) = X_471 ),
inference(superposition,[status(thm),theory(equality)],[c_48062,c_47689]) ).
tff(c_42,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_135,plain,
multiply(sk_c1,sk_c9) = sk_c2,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_48,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_109,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_113,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).
tff(c_32897,plain,
! [X_244,Y_245,Z_246] : ( multiply(multiply(X_244,Y_245),Z_246) = multiply(X_244,multiply(Y_245,Z_246)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32936,plain,
! [Z_246] : ( multiply(sk_c9,multiply(sk_c1,Z_246)) = multiply(identity,Z_246) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_32897]) ).
tff(c_32956,plain,
! [Z_247] : ( multiply(sk_c9,multiply(sk_c1,Z_247)) = Z_247 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32936]) ).
tff(c_32968,plain,
multiply(sk_c9,sk_c2) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_135,c_32956]) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c9,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_140,plain,
multiply(sk_c9,sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_31716,plain,
! [X_223,Y_224,Z_225] : ( multiply(multiply(X_223,Y_224),Z_225) = multiply(X_223,multiply(Y_224,Z_225)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31758,plain,
! [Z_225] : ( multiply(sk_c9,multiply(sk_c1,Z_225)) = multiply(identity,Z_225) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_31716]) ).
tff(c_31778,plain,
! [Z_226] : ( multiply(sk_c9,multiply(sk_c1,Z_226)) = Z_226 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31758]) ).
tff(c_31790,plain,
multiply(sk_c9,sk_c2) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_135,c_31778]) ).
tff(c_31794,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_140,c_31790]) ).
tff(c_171,plain,
! [X_14,Y_15,Z_16] : ( multiply(multiply(X_14,Y_15),Z_16) = multiply(X_14,multiply(Y_15,Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_204,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_171]) ).
tff(c_214,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_376,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_655,plain,
! [X_25,Z_26] : ( multiply(inverse(inverse(X_25)),Z_26) = multiply(X_25,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_214,c_376]) ).
tff(c_421,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_376]) ).
tff(c_662,plain,
! [X_25] : ( multiply(X_25,identity) = X_25 ),
inference(superposition,[status(thm),theory(equality)],[c_655,c_421]) ).
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_113,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_c2) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_135,c_216]) ).
tff(c_232,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_140,c_228]) ).
tff(c_80,plain,
! [X3_8,X1_9,X6_7,X5_6] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(sk_c9,multiply(X3_8,sk_c9)) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(sk_c9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c8 )
| ( multiply(sk_c7,sk_c9) != sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_244,plain,
! [X3_8,X1_9,X6_7,X5_6] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c8 ) ),
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_245,plain,
multiply(sk_c7,sk_c8) != sk_c8,
inference(splitLeft,[status(thm)],[c_244]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_123,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_237,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_123]) ).
tff(c_329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_245,c_237]) ).
tff(c_331,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(splitRight,[status(thm)],[c_244]) ).
tff(c_72,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_97,plain,
inverse(sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_60,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_145,plain,
multiply(sk_c3,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_234,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_145]) ).
tff(c_394,plain,
multiply(inverse(sk_c3),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_234,c_376]) ).
tff(c_428,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_331,c_97,c_394]) ).
tff(c_496,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_428,c_428,c_237]) ).
tff(c_500,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_496,c_214]) ).
tff(c_506,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_500]) ).
tff(c_511,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_506,c_428]) ).
tff(c_330,plain,
! [X5_6,X6_7,X1_9,X3_8] :
( ( multiply(sk_c8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_244]) ).
tff(c_8932,plain,
! [X5_6,X6_7,X1_9,X3_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_662,c_511,c_511,c_2,c_511,c_511,c_662,c_511,c_511,c_511,c_662,c_511,c_506,c_506,c_662,c_511,c_511,c_2,c_511,c_511,c_511,c_2,c_511,c_506,c_330]) ).
tff(c_8934,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8932]) ).
tff(c_239,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_109]) ).
tff(c_440,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_428,c_239]) ).
tff(c_492,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_440,c_4]) ).
tff(c_566,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_506,c_492]) ).
tff(c_509,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_506,c_440]) ).
tff(c_567,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_566,c_509]) ).
tff(c_8936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8934,c_567]) ).
tff(c_8937,plain,
! [X1_9,X6_7,X5_6] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(splitRight,[status(thm)],[c_8932]) ).
tff(c_30477,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8937]) ).
tff(c_30479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30477,c_567]) ).
tff(c_30480,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 ) ),
inference(splitRight,[status(thm)],[c_8937]) ).
tff(c_30482,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_30480]) ).
tff(c_30484,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30482,c_567]) ).
tff(c_31652,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_30480]) ).
tff(c_31654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31652,c_567]) ).
tff(c_31656,plain,
multiply(sk_c3,sk_c7) != sk_c9,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_56,plain,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_31702,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_31656,c_56]) ).
tff(c_31797,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_31794,c_31702]) ).
tff(c_31655,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_31804,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_31794,c_31655]) ).
tff(c_58,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_31693,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_31656,c_58]) ).
tff(c_31798,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_31794,c_31693]) ).
tff(c_31764,plain,
! [X_2,Z_225] : ( multiply(inverse(X_2),multiply(X_2,Z_225)) = multiply(identity,Z_225) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31716]) ).
tff(c_31776,plain,
! [X_2,Z_225] : ( multiply(inverse(X_2),multiply(X_2,Z_225)) = Z_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31764]) ).
tff(c_32094,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_31798,c_31776]) ).
tff(c_32100,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_31804,c_32094]) ).
tff(c_32160,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_31797,c_32100]) ).
tff(c_32164,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32160,c_32160,c_31797]) ).
tff(c_32284,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32164,c_31776]) ).
tff(c_32290,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32284]) ).
tff(c_32303,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32290,c_97]) ).
tff(c_32362,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32303,c_4]) ).
tff(c_32409,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_32362,c_31776]) ).
tff(c_32421,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32409]) ).
tff(c_31803,plain,
multiply(sk_c3,sk_c7) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_31794,c_31656]) ).
tff(c_32168,plain,
multiply(sk_c3,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32160,c_31803]) ).
tff(c_32368,plain,
multiply(sk_c3,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32290,c_32290,c_32168]) ).
tff(c_32425,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32421,c_32368]) ).
tff(c_32430,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32425]) ).
tff(c_32432,plain,
multiply(sk_c9,sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_32972,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_32968,c_32432]) ).
tff(c_26,plain,
( ( multiply(sk_c9,sk_c6) = sk_c8 )
| ( multiply(sk_c9,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_32889,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32432,c_26]) ).
tff(c_64,plain,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_32463,plain,
multiply(sk_c3,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_101,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_32497,plain,
! [X_233,Y_234,Z_235] : ( multiply(multiply(X_233,Y_234),Z_235) = multiply(X_233,multiply(Y_234,Z_235)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32542,plain,
! [Z_235] : ( multiply(sk_c7,multiply(sk_c3,Z_235)) = multiply(identity,Z_235) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_32497]) ).
tff(c_32716,plain,
! [Z_241] : ( multiply(sk_c7,multiply(sk_c3,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32542]) ).
tff(c_32728,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32463,c_32716]) ).
tff(c_32732,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32728,c_123]) ).
tff(c_32539,plain,
! [Z_235] : ( multiply(sk_c9,multiply(sk_c1,Z_235)) = multiply(identity,Z_235) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_32497]) ).
tff(c_32647,plain,
! [Z_239] : ( multiply(sk_c9,multiply(sk_c1,Z_239)) = Z_239 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32539]) ).
tff(c_32659,plain,
multiply(sk_c9,sk_c2) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_135,c_32647]) ).
tff(c_32663,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_32659,c_32432]) ).
tff(c_32740,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32732,c_32663]) ).
tff(c_20,plain,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c9,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_32468,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32432,c_20]) ).
tff(c_32743,plain,
multiply(sk_c9,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32732,c_32468]) ).
tff(c_22,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c9,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_32484,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32432,c_22]) ).
tff(c_32742,plain,
multiply(sk_c4,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32732,c_32484]) ).
tff(c_32431,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_32436,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32431,c_4]) ).
tff(c_32530,plain,
! [Z_235] : ( multiply(sk_c9,multiply(sk_c4,Z_235)) = multiply(identity,Z_235) ),
inference(superposition,[status(thm),theory(equality)],[c_32436,c_32497]) ).
tff(c_32837,plain,
! [Z_243] : ( multiply(sk_c9,multiply(sk_c4,Z_243)) = Z_243 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32530]) ).
tff(c_32855,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_32742,c_32837]) ).
tff(c_32859,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32743,c_32855]) ).
tff(c_32861,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32740,c_32859]) ).
tff(c_32862,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c9,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_32446,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32432,c_30]) ).
tff(c_32450,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32446,c_4]) ).
tff(c_32924,plain,
! [Z_246] : ( multiply(sk_c9,multiply(sk_c5,Z_246)) = multiply(identity,Z_246) ),
inference(superposition,[status(thm),theory(equality)],[c_32450,c_32897]) ).
tff(c_32993,plain,
! [Z_249] : ( multiply(sk_c9,multiply(sk_c5,Z_249)) = Z_249 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32924]) ).
tff(c_33005,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_32862,c_32993]) ).
tff(c_33009,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_32889,c_33005]) ).
tff(c_33011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32972,c_33009]) ).
tff(c_33013,plain,
multiply(sk_c1,sk_c9) != sk_c2,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_38,plain,
( ( multiply(sk_c9,sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_34489,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_33013,c_38]) ).
tff(c_34524,plain,
! [X_276,Y_277,Z_278] : ( multiply(multiply(X_276,Y_277),Z_278) = multiply(X_276,multiply(Y_277,Z_278)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34569,plain,
! [X_2,Z_278] : ( multiply(inverse(X_2),multiply(X_2,Z_278)) = multiply(identity,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34524]) ).
tff(c_36263,plain,
! [X_311,Z_312] : ( multiply(inverse(X_311),multiply(X_311,Z_312)) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34569]) ).
tff(c_34581,plain,
! [X_2,Z_278] : ( multiply(inverse(X_2),multiply(X_2,Z_278)) = Z_278 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34569]) ).
tff(c_36621,plain,
! [X_315,Z_316] : ( multiply(inverse(inverse(X_315)),Z_316) = multiply(X_315,Z_316) ),
inference(superposition,[status(thm),theory(equality)],[c_36263,c_34581]) ).
tff(c_36326,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36263]) ).
tff(c_36628,plain,
! [X_315] : ( multiply(X_315,identity) = X_315 ),
inference(superposition,[status(thm),theory(equality)],[c_36621,c_36326]) ).
tff(c_34497,plain,
multiply(sk_c3,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_34566,plain,
! [Z_278] : ( multiply(sk_c7,multiply(sk_c3,Z_278)) = multiply(identity,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_34524]) ).
tff(c_34596,plain,
! [Z_280] : ( multiply(sk_c7,multiply(sk_c3,Z_280)) = Z_280 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34566]) ).
tff(c_34608,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34497,c_34596]) ).
tff(c_36284,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34608,c_36263]) ).
tff(c_36333,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36284]) ).
tff(c_33047,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_33013,c_38]) ).
tff(c_40,plain,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_33716,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_33013,c_40]) ).
tff(c_33012,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_33017,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33012,c_4]) ).
tff(c_33727,plain,
! [X_264,Y_265,Z_266] : ( multiply(multiply(X_264,Y_265),Z_266) = multiply(X_264,multiply(Y_265,Z_266)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33760,plain,
! [Z_266] : ( multiply(sk_c9,multiply(sk_c5,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_33017,c_33727]) ).
tff(c_33942,plain,
! [Z_271] : ( multiply(sk_c9,multiply(sk_c5,Z_271)) = Z_271 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33760]) ).
tff(c_33954,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33716,c_33942]) ).
tff(c_33958,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33047,c_33954]) ).
tff(c_33054,plain,
multiply(sk_c3,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_33083,plain,
! [X_250,Y_251,Z_252] : ( multiply(multiply(X_250,Y_251),Z_252) = multiply(X_250,multiply(Y_251,Z_252)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33128,plain,
! [Z_252] : ( multiply(sk_c7,multiply(sk_c3,Z_252)) = multiply(identity,Z_252) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_33083]) ).
tff(c_33279,plain,
! [Z_258] : ( multiply(sk_c7,multiply(sk_c3,Z_258)) = Z_258 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33128]) ).
tff(c_33291,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33054,c_33279]) ).
tff(c_33295,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33291,c_123]) ).
tff(c_32,plain,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_33062,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_33013,c_32]) ).
tff(c_33318,plain,
multiply(sk_c9,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33295,c_33062]) ).
tff(c_34,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_33068,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_33013,c_34]) ).
tff(c_33317,plain,
multiply(sk_c4,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33295,c_33068]) ).
tff(c_36,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_33032,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_33013,c_36]) ).
tff(c_33036,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33032,c_4]) ).
tff(c_33113,plain,
! [Z_252] : ( multiply(sk_c9,multiply(sk_c4,Z_252)) = multiply(identity,Z_252) ),
inference(superposition,[status(thm),theory(equality)],[c_33036,c_33083]) ).
tff(c_33355,plain,
! [Z_260] : ( multiply(sk_c9,multiply(sk_c4,Z_260)) = Z_260 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33113]) ).
tff(c_33367,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33317,c_33355]) ).
tff(c_33371,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33318,c_33367]) ).
tff(c_33374,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33371,c_33318]) ).
tff(c_33131,plain,
! [X_2,Z_252] : ( multiply(inverse(X_2),multiply(X_2,Z_252)) = multiply(identity,Z_252) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33083]) ).
tff(c_33143,plain,
! [X_2,Z_252] : ( multiply(inverse(X_2),multiply(X_2,Z_252)) = Z_252 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33131]) ).
tff(c_33512,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33374,c_33143]) ).
tff(c_33518,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33512]) ).
tff(c_33027,plain,
multiply(sk_c9,sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_33320,plain,
multiply(sk_c9,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33295,c_33027]) ).
tff(c_33375,plain,
multiply(sk_c7,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33371,c_33320]) ).
tff(c_33661,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33518,c_2,c_33518,c_33375]) ).
tff(c_33387,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33371,c_109]) ).
tff(c_33417,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33387,c_4]) ).
tff(c_33618,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33518,c_33417]) ).
tff(c_33384,plain,
multiply(sk_c1,sk_c7) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_33371,c_33013]) ).
tff(c_33524,plain,
multiply(sk_c1,identity) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_33518,c_33384]) ).
tff(c_33697,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33661,c_2,c_33618,c_33524]) ).
tff(c_33698,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_33964,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33958,c_33698]) ).
tff(c_33967,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33958,c_33032]) ).
tff(c_33699,plain,
multiply(sk_c3,sk_c7) != sk_c9,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_33706,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_33699,c_58]) ).
tff(c_33962,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33958,c_33706]) ).
tff(c_33772,plain,
! [X_2,Z_266] : ( multiply(inverse(X_2),multiply(X_2,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33727]) ).
tff(c_33784,plain,
! [X_2,Z_266] : ( multiply(inverse(X_2),multiply(X_2,Z_266)) = Z_266 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33772]) ).
tff(c_34152,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33962,c_33784]) ).
tff(c_34158,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33964,c_33967,c_34152]) ).
tff(c_33972,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33958,c_123]) ).
tff(c_34164,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34158,c_34158,c_33972]) ).
tff(c_34273,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34164,c_33784]) ).
tff(c_34279,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34273]) ).
tff(c_33973,plain,
multiply(sk_c8,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33958,c_113]) ).
tff(c_34162,plain,
multiply(sk_c7,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34158,c_33973]) ).
tff(c_34422,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34279,c_34162]) ).
tff(c_33968,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33958,c_33027]) ).
tff(c_34125,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_33968,c_33784]) ).
tff(c_34131,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34125]) ).
tff(c_33970,plain,
multiply(sk_c1,sk_c8) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_33958,c_33013]) ).
tff(c_34134,plain,
multiply(sk_c1,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34131,c_33970]) ).
tff(c_34268,plain,
multiply(sk_c1,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34158,c_34134]) ).
tff(c_34294,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34279,c_34268]) ).
tff(c_34464,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34422,c_34294]) ).
tff(c_34465,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_36345,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36333,c_34465]) ).
tff(c_34612,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34608,c_123]) ).
tff(c_34466,plain,
multiply(sk_c9,sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_34484,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34466,c_22]) ).
tff(c_34622,plain,
multiply(sk_c4,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34612,c_34484]) ).
tff(c_36432,plain,
multiply(sk_c4,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36333,c_34622]) ).
tff(c_36436,plain,
multiply(inverse(sk_c4),sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36432,c_34581]) ).
tff(c_36442,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36345,c_36436]) ).
tff(c_34741,plain,
! [X_283,Z_284] : ( multiply(inverse(X_283),multiply(X_283,Z_284)) = Z_284 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34569]) ).
tff(c_35242,plain,
! [X_289,Z_290] : ( multiply(inverse(inverse(X_289)),Z_290) = multiply(X_289,Z_290) ),
inference(superposition,[status(thm),theory(equality)],[c_34581,c_34741]) ).
tff(c_34774,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34741]) ).
tff(c_35249,plain,
! [X_289] : ( multiply(X_289,identity) = X_289 ),
inference(superposition,[status(thm),theory(equality)],[c_35242,c_34774]) ).
tff(c_34621,plain,
multiply(sk_c9,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34612,c_34489]) ).
tff(c_34504,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_33013,c_40]) ).
tff(c_34557,plain,
! [Z_278] : ( multiply(sk_c9,multiply(sk_c5,Z_278)) = multiply(identity,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_33017,c_34524]) ).
tff(c_34693,plain,
! [Z_282] : ( multiply(sk_c9,multiply(sk_c5,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34557]) ).
tff(c_34705,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34504,c_34693]) ).
tff(c_34709,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34621,c_34705]) ).
tff(c_34718,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34709,c_34608]) ).
tff(c_34958,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34718,c_34581]) ).
tff(c_34965,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34958]) ).
tff(c_34981,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34965,c_34709]) ).
tff(c_34511,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_33013,c_32]) ).
tff(c_34620,plain,
multiply(sk_c9,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34612,c_34511]) ).
tff(c_34636,plain,
! [X3_8,X1_9,X6_7,X5_6] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(sk_c9,multiply(X3_8,sk_c9)) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34612,c_34608,c_34612,c_34620,c_34612,c_34612,c_34612,c_80]) ).
tff(c_34637,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_34636]) ).
tff(c_36259,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35249,c_34981,c_2,c_34981,c_34965,c_34981,c_34637]) ).
tff(c_34726,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34709,c_33012]) ).
tff(c_34798,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34726,c_4]) ).
tff(c_35031,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34965,c_34798]) ).
tff(c_34978,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34965,c_34726]) ).
tff(c_35032,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35031,c_34978]) ).
tff(c_36261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36259,c_35032]) ).
tff(c_36262,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(sk_c9,multiply(X3_8,sk_c9)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_34636]) ).
tff(c_44278,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36628,c_36442,c_36333,c_2,c_36333,c_36333,c_36628,c_36442,c_36333,c_36333,c_36628,c_36442,c_36333,c_36442,c_36262]) ).
tff(c_44280,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_44278]) ).
tff(c_36350,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36333,c_109]) ).
tff(c_36363,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36350,c_4]) ).
tff(c_36370,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_36363,c_34581]) ).
tff(c_36382,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36370]) ).
tff(c_36386,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36382,c_36350]) ).
tff(c_44282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44280,c_36386]) ).
tff(c_44283,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_44278]) ).
tff(c_44285,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_44283]) ).
tff(c_44287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44285,c_36386]) ).
tff(c_44290,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_44283]) ).
tff(c_44292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44290,c_36386]) ).
tff(c_44293,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_44320,plain,
! [X_404,Y_405,Z_406] : ( multiply(multiply(X_404,Y_405),Z_406) = multiply(X_404,multiply(Y_405,Z_406)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_44350,plain,
! [Z_406] : ( multiply(sk_c9,multiply(sk_c5,Z_406)) = multiply(identity,Z_406) ),
inference(superposition,[status(thm),theory(equality)],[c_33017,c_44320]) ).
tff(c_44663,plain,
! [Z_415] : ( multiply(sk_c9,multiply(sk_c5,Z_415)) = Z_415 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44350]) ).
tff(c_44675,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_44293,c_44663]) ).
tff(c_44679,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34489,c_44675]) ).
tff(c_44303,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_33013,c_32]) ).
tff(c_44682,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44679,c_44303]) ).
tff(c_44689,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_44679,c_34465]) ).
tff(c_44686,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_44679,c_34484]) ).
tff(c_44362,plain,
! [X_2,Z_406] : ( multiply(inverse(X_2),multiply(X_2,Z_406)) = multiply(identity,Z_406) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_44320]) ).
tff(c_44818,plain,
! [X_417,Z_418] : ( multiply(inverse(X_417),multiply(X_417,Z_418)) = Z_418 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44362]) ).
tff(c_44839,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_44686,c_44818]) ).
tff(c_44891,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44682,c_44689,c_44839]) ).
tff(c_44693,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_44679,c_123]) ).
tff(c_44904,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44891,c_44891,c_44693]) ).
tff(c_44374,plain,
! [X_2,Z_406] : ( multiply(inverse(X_2),multiply(X_2,Z_406)) = Z_406 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44362]) ).
tff(c_44969,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_44904,c_44374]) ).
tff(c_44975,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44969]) ).
tff(c_44690,plain,
multiply(sk_c8,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44679,c_33017]) ).
tff(c_44895,plain,
multiply(sk_c7,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44891,c_44690]) ).
tff(c_45121,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44975,c_44895]) ).
tff(c_44909,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44891,c_44679]) ).
tff(c_44685,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_44679,c_34489]) ).
tff(c_44851,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_44685,c_44818]) ).
tff(c_44892,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44851]) ).
tff(c_44338,plain,
! [Z_406] : ( multiply(sk_c5,multiply(sk_c9,Z_406)) = multiply(sk_c6,Z_406) ),
inference(superposition,[status(thm),theory(equality)],[c_44293,c_44320]) ).
tff(c_44978,plain,
! [Z_419] : ( multiply(sk_c5,multiply(sk_c7,Z_419)) = Z_419 ),
inference(demodulation,[status(thm),theory(equality)],[c_44909,c_2,c_44892,c_44338]) ).
tff(c_45002,plain,
multiply(sk_c5,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_101,c_44978]) ).
tff(c_45146,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45121,c_45002]) ).
tff(c_44294,plain,
multiply(sk_c3,sk_c7) != sk_c9,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_44683,plain,
multiply(sk_c3,sk_c7) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_44679,c_44294]) ).
tff(c_44897,plain,
multiply(sk_c3,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44891,c_44683]) ).
tff(c_45101,plain,
multiply(sk_c3,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_44975,c_44975,c_44897]) ).
tff(c_45147,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_45146,c_45101]) ).
tff(c_45151,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45147]) ).
tff(c_45153,plain,
multiply(sk_c7,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_8,plain,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_45883,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_45153,c_8]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_45868,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_45153,c_10]) ).
tff(c_12,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_45167,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_45153,c_12]) ).
tff(c_45171,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_45167,c_4]) ).
tff(c_45898,plain,
! [X_429,Y_430,Z_431] : ( multiply(multiply(X_429,Y_430),Z_431) = multiply(X_429,multiply(Y_430,Z_431)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_45928,plain,
! [Z_431] : ( multiply(sk_c9,multiply(sk_c4,Z_431)) = multiply(identity,Z_431) ),
inference(superposition,[status(thm),theory(equality)],[c_45171,c_45898]) ).
tff(c_45982,plain,
! [Z_434] : ( multiply(sk_c9,multiply(sk_c4,Z_434)) = Z_434 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45928]) ).
tff(c_45994,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_45868,c_45982]) ).
tff(c_45998,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_45883,c_45994]) ).
tff(c_46015,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_45998,c_45883]) ).
tff(c_45940,plain,
! [X_2,Z_431] : ( multiply(inverse(X_2),multiply(X_2,Z_431)) = multiply(identity,Z_431) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_45898]) ).
tff(c_45952,plain,
! [X_2,Z_431] : ( multiply(inverse(X_2),multiply(X_2,Z_431)) = Z_431 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45940]) ).
tff(c_46124,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_46015,c_45952]) ).
tff(c_46130,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46124]) ).
tff(c_14,plain,
( ( multiply(sk_c9,sk_c6) = sk_c8 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_45878,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_45153,c_14]) ).
tff(c_46016,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_45998,c_45878]) ).
tff(c_46134,plain,
multiply(sk_c7,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46130,c_46016]) ).
tff(c_45152,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_46025,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_45998,c_45152]) ).
tff(c_45191,plain,
multiply(sk_c9,sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_45196,plain,
multiply(sk_c1,sk_c9) = sk_c2,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_45236,plain,
! [X_420,Y_421,Z_422] : ( multiply(multiply(X_420,Y_421),Z_422) = multiply(X_420,multiply(Y_421,Z_422)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_45278,plain,
! [Z_422] : ( multiply(sk_c9,multiply(sk_c1,Z_422)) = multiply(identity,Z_422) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_45236]) ).
tff(c_45298,plain,
! [Z_423] : ( multiply(sk_c9,multiply(sk_c1,Z_423)) = Z_423 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45278]) ).
tff(c_45310,plain,
multiply(sk_c9,sk_c2) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_45196,c_45298]) ).
tff(c_45314,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_45191,c_45310]) ).
tff(c_45229,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_45153,c_8]) ).
tff(c_45318,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_45314,c_45229]) ).
tff(c_45326,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_45314,c_45167]) ).
tff(c_45209,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_45153,c_10]) ).
tff(c_45321,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_45314,c_45209]) ).
tff(c_45284,plain,
! [X_2,Z_422] : ( multiply(inverse(X_2),multiply(X_2,Z_422)) = multiply(identity,Z_422) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_45236]) ).
tff(c_45296,plain,
! [X_2,Z_422] : ( multiply(inverse(X_2),multiply(X_2,Z_422)) = Z_422 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45284]) ).
tff(c_45505,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_45321,c_45296]) ).
tff(c_45511,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_45326,c_45505]) ).
tff(c_45582,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_45318,c_45511]) ).
tff(c_45585,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_45582,c_45582,c_45318]) ).
tff(c_45712,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_45585,c_45296]) ).
tff(c_45718,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45712]) ).
tff(c_45328,plain,
multiply(sk_c7,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_45314,c_45153]) ).
tff(c_45590,plain,
multiply(sk_c7,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_45582,c_45582,c_45328]) ).
tff(c_45861,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45718,c_45590]) ).
tff(c_45862,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_46019,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45998,c_45862]) ).
tff(c_46190,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_46019,c_45952]) ).
tff(c_46196,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_46025,c_46190]) ).
tff(c_46236,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46134,c_46196]) ).
tff(c_46024,plain,
multiply(sk_c7,sk_c7) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_45998,c_45153]) ).
tff(c_46161,plain,
multiply(sk_c7,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_46130,c_46024]) ).
tff(c_46244,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_46236,c_46236,c_46161]) ).
tff(c_46257,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46244]) ).
tff(c_46258,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_46264,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_45153,c_10]) ).
tff(c_46741,plain,
! [X_448,Y_449,Z_450] : ( multiply(multiply(X_448,Y_449),Z_450) = multiply(X_448,multiply(Y_449,Z_450)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_46768,plain,
! [Z_450] : ( multiply(sk_c9,multiply(sk_c4,Z_450)) = multiply(identity,Z_450) ),
inference(superposition,[status(thm),theory(equality)],[c_45171,c_46741]) ).
tff(c_46820,plain,
! [Z_453] : ( multiply(sk_c9,multiply(sk_c4,Z_453)) = Z_453 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46768]) ).
tff(c_46832,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_46264,c_46820]) ).
tff(c_46836,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_46258,c_46832]) ).
tff(c_46844,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_46836,c_46258]) ).
tff(c_46780,plain,
! [X_2,Z_450] : ( multiply(inverse(X_2),multiply(X_2,Z_450)) = multiply(identity,Z_450) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_46741]) ).
tff(c_46792,plain,
! [X_2,Z_450] : ( multiply(inverse(X_2),multiply(X_2,Z_450)) = Z_450 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46780]) ).
tff(c_46973,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_46844,c_46792]) ).
tff(c_46979,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46973]) ).
tff(c_46259,plain,
multiply(sk_c9,sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_46277,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_46259,c_26]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_46284,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_45153,c_16]) ).
tff(c_45157,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_45152,c_4]) ).
tff(c_46300,plain,
! [X_438,Y_439,Z_440] : ( multiply(multiply(X_438,Y_439),Z_440) = multiply(X_438,multiply(Y_439,Z_440)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_46333,plain,
! [Z_440] : ( multiply(sk_c9,multiply(sk_c5,Z_440)) = multiply(identity,Z_440) ),
inference(superposition,[status(thm),theory(equality)],[c_45157,c_46300]) ).
tff(c_46428,plain,
! [Z_444] : ( multiply(sk_c9,multiply(sk_c5,Z_444)) = Z_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46333]) ).
tff(c_46440,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_46284,c_46428]) ).
tff(c_46444,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_46277,c_46440]) ).
tff(c_62,plain,
( ( multiply(sk_c9,sk_c6) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_46269,plain,
multiply(sk_c3,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_46339,plain,
! [Z_440] : ( multiply(sk_c7,multiply(sk_c3,Z_440)) = multiply(identity,Z_440) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_46300]) ).
tff(c_46358,plain,
! [Z_441] : ( multiply(sk_c7,multiply(sk_c3,Z_441)) = Z_441 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46339]) ).
tff(c_46370,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_46269,c_46358]) ).
tff(c_46449,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_46444,c_46370]) ).
tff(c_46342,plain,
! [X_2,Z_440] : ( multiply(inverse(X_2),multiply(X_2,Z_440)) = multiply(identity,Z_440) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_46300]) ).
tff(c_46354,plain,
! [X_2,Z_440] : ( multiply(inverse(X_2),multiply(X_2,Z_440)) = Z_440 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46342]) ).
tff(c_46671,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_46449,c_46354]) ).
tff(c_46677,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46671]) ).
tff(c_46455,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_46444,c_46258]) ).
tff(c_46684,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_46677,c_46677,c_46455]) ).
tff(c_46695,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46684]) ).
tff(c_46374,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_46370,c_45153]) ).
tff(c_46693,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_46677,c_46374]) ).
tff(c_46709,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46695,c_46693]) ).
tff(c_46710,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_46841,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_46836,c_46710]) ).
tff(c_47001,plain,
multiply(sk_c7,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46979,c_46841]) ).
tff(c_46849,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_46836,c_45152]) ).
tff(c_46716,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_45153,c_16]) ).
tff(c_46839,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_46836,c_46716]) ).
tff(c_46962,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_46839,c_46792]) ).
tff(c_46968,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_46849,c_46962]) ).
tff(c_47046,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47001,c_46968]) ).
tff(c_46848,plain,
multiply(sk_c7,sk_c7) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_46836,c_45153]) ).
tff(c_47014,plain,
multiply(sk_c7,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_46979,c_46848]) ).
tff(c_47049,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_47046,c_47046,c_47014]) ).
tff(c_47066,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47049]) ).
tff(c_47068,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_50,plain,
( ( multiply(sk_c9,sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_47114,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_47068,c_50]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_47103,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_47068,c_52]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_47069,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_47077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47068,c_47069]) ).
tff(c_47078,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_47090,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47078,c_4]) ).
tff(c_47178,plain,
! [Z_459] : ( multiply(sk_c9,multiply(sk_c5,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_47090,c_47151]) ).
tff(c_47200,plain,
! [Z_460] : ( multiply(sk_c9,multiply(sk_c5,Z_460)) = Z_460 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47178]) ).
tff(c_47212,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_47103,c_47200]) ).
tff(c_47216,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_47114,c_47212]) ).
tff(c_44,plain,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_47121,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_47068,c_44]) ).
tff(c_47218,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47216,c_47121]) ).
tff(c_47067,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_47226,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_47216,c_47067]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_47108,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_47068,c_46]) ).
tff(c_47220,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_47216,c_47108]) ).
tff(c_47699,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_47220,c_47198]) ).
tff(c_47705,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_47226,c_47699]) ).
tff(c_47771,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47218,c_47705]) ).
tff(c_47774,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47771,c_47771,c_47218]) ).
tff(c_47844,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_47774,c_47198]) ).
tff(c_47850,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_47844]) ).
tff(c_47858,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47850,c_47771]) ).
tff(c_47334,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_47220,c_47198]) ).
tff(c_47340,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47218,c_47226,c_47334]) ).
tff(c_47350,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47340,c_47226]) ).
tff(c_47389,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47350,c_4]) ).
tff(c_47219,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_47216,c_47114]) ).
tff(c_47393,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47340,c_47340,c_47219]) ).
tff(c_47397,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_47393,c_47198]) ).
tff(c_47403,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_47397]) ).
tff(c_47224,plain,
inverse(sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_47216,c_47078]) ).
tff(c_47221,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47216,c_47103]) ).
tff(c_47278,plain,
! [X_461,Z_462] : ( multiply(inverse(X_461),multiply(X_461,Z_462)) = Z_462 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47187]) ).
tff(c_47296,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_47221,c_47278]) ).
tff(c_47330,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_47224,c_47296]) ).
tff(c_47444,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47403,c_47340,c_47340,c_47330]) ).
tff(c_47351,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47340,c_47216]) ).
tff(c_47166,plain,
! [Z_459] : ( multiply(sk_c9,multiply(sk_c8,Z_459)) = multiply(sk_c7,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_47121,c_47151]) ).
tff(c_47410,plain,
! [Z_459] : ( multiply(sk_c7,multiply(sk_c7,Z_459)) = multiply(sk_c7,Z_459) ),
inference(demodulation,[status(thm),theory(equality)],[c_47351,c_47340,c_47166]) ).
tff(c_47476,plain,
multiply(sk_c7,sk_c4) = multiply(sk_c7,identity),
inference(superposition,[status(thm),theory(equality)],[c_47389,c_47410]) ).
tff(c_47485,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47389,c_47444,c_47476]) ).
tff(c_47231,plain,
! [X3_8,X1_9,X6_7,X5_6] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47216,c_47216,c_47216,c_47216,c_47216,c_47216,c_47216,c_47216,c_47216,c_47216,c_47216,c_80]) ).
tff(c_47232,plain,
multiply(sk_c7,sk_c8) != sk_c8,
inference(splitLeft,[status(thm)],[c_47231]) ).
tff(c_47345,plain,
multiply(sk_c7,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47340,c_47340,c_47232]) ).
tff(c_47606,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47485,c_47345]) ).
tff(c_47607,plain,
! [X5_6,X6_7,X1_9,X3_8] :
( ( multiply(sk_c8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_47231]) ).
tff(c_55505,plain,
! [X5_6,X6_7,X1_9,X3_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48069,c_47858,c_47858,c_2,c_47858,c_47858,c_48069,c_47858,c_47858,c_47858,c_48069,c_47858,c_47850,c_47850,c_48069,c_47858,c_47858,c_2,c_47858,c_47858,c_47858,c_2,c_47858,c_47850,c_47607]) ).
tff(c_55507,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_55505]) ).
tff(c_47779,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47771,c_47224]) ).
tff(c_47825,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47779,c_4]) ).
tff(c_47913,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47850,c_47825]) ).
tff(c_47855,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47850,c_47779]) ).
tff(c_47918,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47913,c_47855]) ).
tff(c_55509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55507,c_47918]) ).
tff(c_55510,plain,
! [X1_9,X6_7,X5_6] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(splitRight,[status(thm)],[c_55505]) ).
tff(c_78022,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_55510]) ).
tff(c_78024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78022,c_47918]) ).
tff(c_78025,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 ) ),
inference(splitRight,[status(thm)],[c_55510]) ).
tff(c_78027,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_78025]) ).
tff(c_78029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78027,c_47918]) ).
tff(c_78031,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_78025]) ).
tff(c_78033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78031,c_47918]) ).
tff(c_78035,plain,
inverse(sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_74,plain,
( ( multiply(sk_c9,sk_c6) = sk_c8 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_110966,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_78035,c_74]) ).
tff(c_78120,plain,
! [X_665,Y_666,Z_667] : ( multiply(multiply(X_665,Y_666),Z_667) = multiply(X_665,multiply(Y_666,Z_667)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_78156,plain,
! [X_2,Z_667] : ( multiply(inverse(X_2),multiply(X_2,Z_667)) = multiply(identity,Z_667) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_78120]) ).
tff(c_78167,plain,
! [X_2,Z_667] : ( multiply(inverse(X_2),multiply(X_2,Z_667)) = Z_667 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78156]) ).
tff(c_78611,plain,
! [X_673,Z_674] : ( multiply(inverse(X_673),multiply(X_673,Z_674)) = Z_674 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78156]) ).
tff(c_78967,plain,
! [X_678,Z_679] : ( multiply(inverse(inverse(X_678)),Z_679) = multiply(X_678,Z_679) ),
inference(superposition,[status(thm),theory(equality)],[c_78167,c_78611]) ).
tff(c_78653,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_78611]) ).
tff(c_78974,plain,
! [X_678] : ( multiply(X_678,identity) = X_678 ),
inference(superposition,[status(thm),theory(equality)],[c_78967,c_78653]) ).
tff(c_78087,plain,
multiply(sk_c9,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_78035,c_74]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_78082,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_78035,c_76]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_78060,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_78035,c_78]) ).
tff(c_78064,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78060,c_4]) ).
tff(c_78147,plain,
! [Z_667] : ( multiply(sk_c9,multiply(sk_c5,Z_667)) = multiply(identity,Z_667) ),
inference(superposition,[status(thm),theory(equality)],[c_78064,c_78120]) ).
tff(c_78169,plain,
! [Z_668] : ( multiply(sk_c9,multiply(sk_c5,Z_668)) = Z_668 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78147]) ).
tff(c_78181,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_78082,c_78169]) ).
tff(c_78185,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_78087,c_78181]) ).
tff(c_68,plain,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_78077,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_78035,c_68]) ).
tff(c_78190,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78185,c_78077]) ).
tff(c_78034,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_78196,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_78185,c_78034]) ).
tff(c_70,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_78097,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_78035,c_70]) ).
tff(c_78187,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_78185,c_78097]) ).
tff(c_78635,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_78187,c_78611]) ).
tff(c_78661,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78190,c_78196,c_78635]) ).
tff(c_78277,plain,
! [X_669,Z_670] : ( multiply(inverse(X_669),multiply(X_669,Z_670)) = Z_670 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78156]) ).
tff(c_78310,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_78187,c_78277]) ).
tff(c_78337,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78190,c_78196,c_78310]) ).
tff(c_78349,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78337,c_78337,c_78190]) ).
tff(c_78419,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_78349,c_78167]) ).
tff(c_78425,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_78419]) ).
tff(c_78222,plain,
! [X3_8,X1_9,X6_7,X5_6] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78185,c_78185,c_78185,c_78185,c_78185,c_78185,c_78185,c_78185,c_78185,c_78185,c_78185,c_80]) ).
tff(c_78223,plain,
multiply(sk_c7,sk_c8) != sk_c8,
inference(splitLeft,[status(thm)],[c_78222]) ).
tff(c_78345,plain,
multiply(sk_c7,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78337,c_78337,c_78223]) ).
tff(c_78579,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78425,c_78345]) ).
tff(c_78581,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(splitRight,[status(thm)],[c_78222]) ).
tff(c_78761,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78661,c_78661,c_78581]) ).
tff(c_78768,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_78761,c_78167]) ).
tff(c_78775,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_78768]) ).
tff(c_78785,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78775,c_78661]) ).
tff(c_78580,plain,
! [X5_6,X6_7,X1_9,X3_8] :
( ( multiply(sk_c8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_78222]) ).
tff(c_86811,plain,
! [X5_6,X6_7,X1_9,X3_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78974,c_78785,c_78785,c_2,c_78785,c_78785,c_78974,c_78785,c_78785,c_78785,c_78974,c_78785,c_78775,c_78775,c_78974,c_78785,c_78785,c_2,c_78785,c_78785,c_78785,c_2,c_78785,c_78775,c_78580]) ).
tff(c_86813,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_86811]) ).
tff(c_78048,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_78052,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78048,c_4]) ).
tff(c_78193,plain,
multiply(sk_c8,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78185,c_78052]) ).
tff(c_78844,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78785,c_78193]) ).
tff(c_78194,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_78185,c_78048]) ).
tff(c_78670,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78661,c_78194]) ).
tff(c_78780,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78775,c_78670]) ).
tff(c_78845,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78844,c_78780]) ).
tff(c_86815,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86813,c_78845]) ).
tff(c_86816,plain,
! [X1_9,X6_7,X5_6] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(splitRight,[status(thm)],[c_86811]) ).
tff(c_110921,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_86816]) ).
tff(c_110923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110921,c_78845]) ).
tff(c_110924,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 ) ),
inference(splitRight,[status(thm)],[c_86816]) ).
tff(c_110927,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_110924]) ).
tff(c_110929,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110927,c_78845]) ).
tff(c_110931,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_110924]) ).
tff(c_110933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110931,c_78845]) ).
tff(c_110935,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_110949,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_110935,c_52]) ).
tff(c_110934,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_110939,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_110934,c_4]) ).
tff(c_111028,plain,
! [Z_882] : ( multiply(sk_c9,multiply(sk_c5,Z_882)) = multiply(identity,Z_882) ),
inference(superposition,[status(thm),theory(equality)],[c_110939,c_111001]) ).
tff(c_111046,plain,
! [Z_883] : ( multiply(sk_c9,multiply(sk_c5,Z_883)) = Z_883 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_111028]) ).
tff(c_111058,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_110949,c_111046]) ).
tff(c_111062,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_110966,c_111058]) ).
tff(c_110954,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_110935,c_44]) ).
tff(c_111066,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_111062,c_110954]) ).
tff(c_111072,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_111062,c_78034]) ).
tff(c_110974,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_110935,c_46]) ).
tff(c_111064,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_111062,c_110974]) ).
tff(c_111479,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_111064,c_111455]) ).
tff(c_111501,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_111072,c_111479]) ).
tff(c_111556,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_111066,c_111501]) ).
tff(c_111559,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_111556,c_111556,c_111066]) ).
tff(c_111669,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_111559,c_111044]) ).
tff(c_111676,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_111669]) ).
tff(c_111688,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_111676,c_111556]) ).
tff(c_111139,plain,
! [X_884,Z_885] : ( multiply(inverse(X_884),multiply(X_884,Z_885)) = Z_885 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_111034]) ).
tff(c_111169,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_111064,c_111139]) ).
tff(c_111192,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_111066,c_111072,c_111169]) ).
tff(c_78039,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78034,c_4]) ).
tff(c_111071,plain,
multiply(sk_c8,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_111062,c_78039]) ).
tff(c_111196,plain,
multiply(sk_c7,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_111192,c_111071]) ).
tff(c_111065,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_111062,c_110966]) ).
tff(c_111172,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_111065,c_111139]) ).
tff(c_111193,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_111172]) ).
tff(c_111200,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_111192,c_111192,c_111065]) ).
tff(c_111325,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_111193,c_111200]) ).
tff(c_111204,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_111192,c_111062]) ).
tff(c_111022,plain,
! [Z_882] : ( multiply(sk_c9,multiply(sk_c8,Z_882)) = multiply(sk_c7,Z_882) ),
inference(superposition,[status(thm),theory(equality)],[c_110954,c_111001]) ).
tff(c_111295,plain,
! [Z_882] : ( multiply(sk_c7,multiply(sk_c7,Z_882)) = multiply(sk_c7,Z_882) ),
inference(demodulation,[status(thm),theory(equality)],[c_111204,c_111192,c_111022]) ).
tff(c_111345,plain,
multiply(sk_c7,sk_c4) = multiply(sk_c7,identity),
inference(superposition,[status(thm),theory(equality)],[c_111196,c_111295]) ).
tff(c_111354,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_111196,c_111325,c_111345]) ).
tff(c_111091,plain,
! [X3_8,X1_9,X6_7,X5_6] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111062,c_111062,c_111062,c_111062,c_111062,c_111062,c_111062,c_111062,c_111062,c_111062,c_111062,c_80]) ).
tff(c_111092,plain,
multiply(sk_c7,sk_c8) != sk_c8,
inference(splitLeft,[status(thm)],[c_111091]) ).
tff(c_111194,plain,
multiply(sk_c7,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_111192,c_111192,c_111092]) ).
tff(c_111423,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_111354,c_111194]) ).
tff(c_111424,plain,
! [X5_6,X6_7,X1_9,X3_8] :
( ( multiply(sk_c8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_111091]) ).
tff(c_118680,plain,
! [X5_6,X6_7,X1_9,X3_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111845,c_111688,c_111688,c_2,c_111688,c_111688,c_111845,c_111688,c_111688,c_111688,c_111845,c_111688,c_111676,c_111676,c_111845,c_111688,c_111688,c_2,c_111688,c_111688,c_111688,c_2,c_111688,c_111676,c_111424]) ).
tff(c_118682,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_118680]) ).
tff(c_111070,plain,
inverse(sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_111062,c_110934]) ).
tff(c_111564,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_111556,c_111070]) ).
tff(c_111618,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_111564,c_4]) ).
tff(c_111732,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_111676,c_111618]) ).
tff(c_111683,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_111676,c_111564]) ).
tff(c_111733,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_111732,c_111683]) ).
tff(c_118684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118682,c_111733]) ).
tff(c_118685,plain,
! [X1_9,X6_7,X5_6] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(splitRight,[status(thm)],[c_118680]) ).
tff(c_140499,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_118685]) ).
tff(c_140501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140499,c_111733]) ).
tff(c_140502,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 ) ),
inference(splitRight,[status(thm)],[c_118685]) ).
tff(c_140504,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_140502]) ).
tff(c_140506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140504,c_111733]) ).
tff(c_140508,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_140502]) ).
tff(c_140510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140508,c_111733]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP364-1 : 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
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:30:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 24.24/13.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.55/13.75
% 24.55/13.75 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 24.55/13.82
% 24.55/13.82 Inference rules
% 24.55/13.82 ----------------------
% 24.55/13.82 #Ref : 0
% 24.55/13.82 #Sup : 34036
% 24.55/13.82 #Fact : 0
% 24.55/13.82 #Define : 0
% 24.55/13.82 #Split : 47
% 24.55/13.82 #Chain : 0
% 24.55/13.82 #Close : 0
% 24.55/13.82
% 24.55/13.82 Ordering : KBO
% 24.55/13.82
% 24.55/13.82 Simplification rules
% 24.55/13.82 ----------------------
% 24.55/13.82 #Subsume : 8
% 24.55/13.82 #Demod : 106969
% 24.55/13.82 #Tautology : 27562
% 24.55/13.82 #SimpNegUnit : 117
% 24.55/13.82 #BackRed : 762
% 24.55/13.82
% 24.55/13.82 #Partial instantiations: 0
% 24.55/13.82 #Strategies tried : 1
% 24.55/13.82
% 24.55/13.82 Timing (in seconds)
% 24.55/13.82 ----------------------
% 24.55/13.83 Preprocessing : 0.49
% 24.55/13.83 Parsing : 0.19
% 24.55/13.83 CNF conversion : 0.03
% 24.55/13.83 Main loop : 12.17
% 24.55/13.83 Inferencing : 2.72
% 24.55/13.83 Reduction : 7.99
% 24.55/13.83 Demodulation : 7.58
% 24.55/13.83 BG Simplification : 0.21
% 24.55/13.83 Subsumption : 0.87
% 24.55/13.83 Abstraction : 0.70
% 24.55/13.83 MUC search : 0.00
% 24.55/13.83 Cooper : 0.00
% 24.55/13.83 Total : 12.83
% 24.55/13.83 Index Insertion : 0.00
% 24.55/13.83 Index Deletion : 0.00
% 24.55/13.83 Index Matching : 0.00
% 24.55/13.83 BG Taut test : 0.00
%------------------------------------------------------------------------------