TSTP Solution File: GRP354-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP354-1 : 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 10:41:02 EDT 2023
% Result : Unsatisfiable 165.93s 140.31s
% Output : CNFRefutation 166.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 47
% Syntax : Number of formulae : 769 ( 644 unt; 12 typ; 0 def)
% Number of atoms : 1054 (1022 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 646 ( 349 ~; 297 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 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 : 348 (; 348 !; 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_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c9) = sk_c7 )
| ( inverse(sk_c4) = sk_c9 ) ),
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_92,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_248,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( multiply(sk_c8,sk_c7) != sk_c9 )
| ( multiply(X3,sk_c9) != sk_c8 )
| ( inverse(X3) != sk_c9 )
| ( inverse(sk_c9) != sk_c7 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( inverse(X4) != sk_c7 )
| ( multiply(X1,sk_c9) != sk_c8 )
| ( inverse(X1) != sk_c9 )
| ( multiply(sk_c9,sk_c7) != sk_c8 )
| ( inverse(X2) != sk_c9 )
| ( multiply(X2,sk_c8) != sk_c9 )
| ( multiply(X5,X6) != sk_c8 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c7) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c9) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c9) = sk_c7 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c9) = sk_c7 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c9) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c9) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c9) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c9) = sk_c7 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_42,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_147,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_151,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_147,c_4]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_62,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_133,plain,
inverse(sk_c9) = sk_c7,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_137,plain,
multiply(sk_c7,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133,c_4]) ).
tff(c_427098,plain,
! [X_830,Y_831,Z_832] : ( multiply(multiply(X_830,Y_831),Z_832) = multiply(X_830,multiply(Y_831,Z_832)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_427146,plain,
! [Z_832] : ( multiply(sk_c7,multiply(sk_c9,Z_832)) = multiply(identity,Z_832) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_427098]) ).
tff(c_427191,plain,
! [Z_834] : ( multiply(sk_c7,multiply(sk_c9,Z_834)) = Z_834 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427146]) ).
tff(c_427218,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_151,c_427191]) ).
tff(c_26,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_163,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_427143,plain,
! [Z_832] : ( multiply(sk_c9,multiply(sk_c1,Z_832)) = multiply(identity,Z_832) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_427098]) ).
tff(c_427168,plain,
! [Z_833] : ( multiply(sk_c9,multiply(sk_c1,Z_833)) = Z_833 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427143]) ).
tff(c_427180,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_163,c_427168]) ).
tff(c_427203,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_427180,c_427191]) ).
tff(c_427222,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_137,c_427203]) ).
tff(c_214,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_241,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c9,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_214]) ).
tff(c_283,plain,
! [Z_18] : ( multiply(sk_c7,multiply(sk_c9,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_241]) ).
tff(c_301,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_151,c_283]) ).
tff(c_238,plain,
! [Z_16] : ( multiply(sk_c9,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_214]) ).
tff(c_260,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_238]) ).
tff(c_272,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_163,c_260]) ).
tff(c_295,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_272,c_283]) ).
tff(c_305,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_137,c_295]) ).
tff(c_20,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_184,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_307,plain,
multiply(identity,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_305,c_184]) ).
tff(c_310,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_307]) ).
tff(c_306,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_305,c_272]) ).
tff(c_362,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_301,c_310,c_310,c_306]) ).
tff(c_104,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( multiply(inverse(X5_6),sk_c7) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X2_10) != sk_c9 )
| ( multiply(sk_c9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_326,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( multiply(inverse(X5_6),sk_c7) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity )
| ( multiply(X2_10,identity) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != identity )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != identity )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != identity )
| ( inverse(sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_310,c_2,c_305,c_310,c_305,c_310,c_310,c_305,c_310,c_305,c_310,c_310,c_305,c_310,c_310,c_305,c_305,c_305,c_104]) ).
tff(c_327,plain,
inverse(sk_c7) != sk_c7,
inference(splitLeft,[status(thm)],[c_326]) ).
tff(c_320,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_310,c_133]) ).
tff(c_335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_327,c_320]) ).
tff(c_337,plain,
inverse(sk_c7) = sk_c7,
inference(splitRight,[status(thm)],[c_326]) ).
tff(c_365,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_362,c_362,c_337]) ).
tff(c_318,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_310,c_147]) ).
tff(c_350,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_318,c_4]) ).
tff(c_416,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_362,c_350]) ).
tff(c_247,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_214]) ).
tff(c_373,plain,
! [X_19,Z_20] : ( multiply(inverse(X_19),multiply(X_19,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_247]) ).
tff(c_559,plain,
! [X_23] : ( multiply(inverse(identity),X_23) = X_23 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_373]) ).
tff(c_258,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_247]) ).
tff(c_617,plain,
! [X_25] : ( multiply(inverse(inverse(identity)),X_25) = X_25 ),
inference(superposition,[status(thm),theory(equality)],[c_559,c_258]) ).
tff(c_638,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_617,c_4]) ).
tff(c_683,plain,
! [X_26,Z_27] : ( multiply(inverse(inverse(X_26)),Z_27) = multiply(X_26,Z_27) ),
inference(superposition,[status(thm),theory(equality)],[c_258,c_373]) ).
tff(c_704,plain,
! [X_26] : ( multiply(X_26,inverse(X_26)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_683,c_4]) ).
tff(c_366,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_362,c_310]) ).
tff(c_235,plain,
! [Z_16] : ( multiply(sk_c1,multiply(sk_c9,Z_16)) = multiply(sk_c8,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_163,c_214]) ).
tff(c_524,plain,
! [Z_16] : ( multiply(sk_c1,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_366,c_2,c_305,c_235]) ).
tff(c_394,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_373]) ).
tff(c_690,plain,
! [X_26] : ( multiply(X_26,identity) = X_26 ),
inference(superposition,[status(thm),theory(equality)],[c_683,c_394]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1006,plain,
! [X_33,Y_34,Z_35] : ( multiply(inverse(multiply(X_33,Y_34)),multiply(X_33,multiply(Y_34,Z_35))) = Z_35 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_373]) ).
tff(c_1054,plain,
! [X_33,X_26] : ( multiply(inverse(multiply(X_33,X_26)),multiply(X_33,identity)) = inverse(X_26) ),
inference(superposition,[status(thm),theory(equality)],[c_704,c_1006]) ).
tff(c_2137,plain,
! [X_51,X_52] : ( multiply(inverse(multiply(X_51,X_52)),X_51) = inverse(X_52) ),
inference(demodulation,[status(thm),theory(equality)],[c_690,c_1054]) ).
tff(c_2248,plain,
! [Z_16] : ( multiply(inverse(Z_16),sk_c1) = inverse(multiply(sk_c1,Z_16)) ),
inference(superposition,[status(thm),theory(equality)],[c_524,c_2137]) ).
tff(c_336,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( multiply(sk_c7,sk_c7) != identity )
| ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != identity )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != identity )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != identity )
| ( multiply(X2_10,identity) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(inverse(X5_6),sk_c7) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(splitRight,[status(thm)],[c_326]) ).
tff(c_58105,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( inverse(X3_8) != sk_c1 )
| ( multiply(X3_8,sk_c1) != identity )
| ( inverse(X4_11) != sk_c1 )
| ( multiply(X4_11,sk_c1) != identity )
| ( inverse(X1_9) != sk_c1 )
| ( multiply(X1_9,sk_c1) != identity )
| ( sk_c1 != X2_10 )
| ( inverse(X2_10) != sk_c1 )
| ( inverse(multiply(sk_c1,X5_6)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_704,c_2248,c_362,c_362,c_690,c_362,c_362,c_362,c_362,c_362,c_362,c_362,c_416,c_362,c_362,c_336]) ).
tff(c_58107,plain,
! [X5_296] : ( inverse(multiply(sk_c1,X5_296)) != identity ),
inference(splitLeft,[status(thm)],[c_58105]) ).
tff(c_58156,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_704,c_58107]) ).
tff(c_58178,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_638,c_58156]) ).
tff(c_58179,plain,
! [X3_8,X4_11,X1_9,X2_10] :
( ( inverse(X3_8) != sk_c1 )
| ( multiply(X3_8,sk_c1) != identity )
| ( inverse(X4_11) != sk_c1 )
| ( multiply(X4_11,sk_c1) != identity )
| ( inverse(X1_9) != sk_c1 )
| ( multiply(X1_9,sk_c1) != identity )
| ( sk_c1 != X2_10 )
| ( inverse(X2_10) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_58105]) ).
tff(c_416748,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_58179]) ).
tff(c_416750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416748,c_365]) ).
tff(c_416751,plain,
! [X1_9,X4_11,X3_8] :
( ( inverse(X1_9) != sk_c1 )
| ( multiply(X1_9,sk_c1) != identity )
| ( inverse(X4_11) != sk_c1 )
| ( multiply(X4_11,sk_c1) != identity )
| ( inverse(X3_8) != sk_c1 )
| ( multiply(X3_8,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_58179]) ).
tff(c_421843,plain,
! [X3_823] :
( ( inverse(X3_823) != sk_c1 )
| ( multiply(X3_823,sk_c1) != identity ) ),
inference(splitLeft,[status(thm)],[c_416751]) ).
tff(c_421943,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_416,c_421843]) ).
tff(c_421979,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_365,c_421943]) ).
tff(c_421980,plain,
! [X4_11,X1_9] :
( ( inverse(X4_11) != sk_c1 )
| ( multiply(X4_11,sk_c1) != identity )
| ( inverse(X1_9) != sk_c1 )
| ( multiply(X1_9,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_416751]) ).
tff(c_421982,plain,
! [X1_824] :
( ( inverse(X1_824) != sk_c1 )
| ( multiply(X1_824,sk_c1) != identity ) ),
inference(splitLeft,[status(thm)],[c_421980]) ).
tff(c_422082,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_416,c_421982]) ).
tff(c_422118,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_365,c_422082]) ).
tff(c_426876,plain,
! [X4_829] :
( ( inverse(X4_829) != sk_c1 )
| ( multiply(X4_829,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_421980]) ).
tff(c_426980,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_416,c_426876]) ).
tff(c_427017,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_365,c_426980]) ).
tff(c_427019,plain,
multiply(sk_c8,sk_c7) != sk_c9,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_12,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_427076,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_427019,c_12]) ).
tff(c_427209,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_427076,c_427191]) ).
tff(c_427278,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_427218,c_427222,c_427209]) ).
tff(c_427231,plain,
multiply(identity,sk_c7) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_427222,c_427019]) ).
tff(c_427234,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427231]) ).
tff(c_427280,plain,
sk_c9 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_427278,c_427234]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_427050,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_427019,c_14]) ).
tff(c_427054,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_427050,c_4]) ).
tff(c_427212,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_427054,c_427191]) ).
tff(c_427305,plain,
multiply(sk_c1,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_427278,c_427212]) ).
tff(c_427283,plain,
inverse(sk_c9) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_427278,c_133]) ).
tff(c_427152,plain,
! [X_2,Z_832] : ( multiply(inverse(X_2),multiply(X_2,Z_832)) = multiply(identity,Z_832) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_427098]) ).
tff(c_427318,plain,
! [X_836,Z_837] : ( multiply(inverse(X_836),multiply(X_836,Z_837)) = Z_837 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427152]) ).
tff(c_427372,plain,
multiply(inverse(sk_c9),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_151,c_427318]) ).
tff(c_427391,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_427305,c_427283,c_427372]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_427036,plain,
inverse(sk_c3) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_427019,c_10]) ).
tff(c_427040,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_427036,c_4]) ).
tff(c_427360,plain,
multiply(inverse(sk_c9),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_427040,c_427318]) ).
tff(c_427390,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_427305,c_427283,c_427360]) ).
tff(c_427402,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_427391,c_427390]) ).
tff(c_427215,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_427040,c_427191]) ).
tff(c_427430,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_427402,c_427278,c_427215]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c8) = sk_c9 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_427088,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_427019,c_16]) ).
tff(c_427226,plain,
multiply(sk_c4,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_427222,c_427088]) ).
tff(c_427510,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_427430,c_427391,c_427226]) ).
tff(c_427511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_427280,c_427510]) ).
tff(c_427513,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_427613,plain,
! [X_839,Y_840,Z_841] : ( multiply(multiply(X_839,Y_840),Z_841) = multiply(X_839,multiply(Y_840,Z_841)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_427661,plain,
! [Z_841] : ( multiply(sk_c7,multiply(sk_c9,Z_841)) = multiply(identity,Z_841) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_427613]) ).
tff(c_427696,plain,
! [Z_843] : ( multiply(sk_c7,multiply(sk_c9,Z_843)) = Z_843 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427661]) ).
tff(c_427720,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_151,c_427696]) ).
tff(c_427512,plain,
inverse(sk_c3) = sk_c9,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_427517,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_427512,c_4]) ).
tff(c_427717,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_427517,c_427696]) ).
tff(c_427752,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_427720,c_427717]) ).
tff(c_24,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_427608,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_427513,c_24]) ).
tff(c_427762,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_427752,c_427608]) ).
tff(c_427766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_427513,c_427762]) ).
tff(c_427767,plain,
inverse(sk_c3) = sk_c9,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_427772,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_427767,c_4]) ).
tff(c_427865,plain,
! [X_844,Y_845,Z_846] : ( multiply(multiply(X_844,Y_845),Z_846) = multiply(X_844,multiply(Y_845,Z_846)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_427904,plain,
! [Z_846] : ( multiply(sk_c7,multiply(sk_c9,Z_846)) = multiply(identity,Z_846) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_427865]) ).
tff(c_428666,plain,
! [Z_861] : ( multiply(sk_c7,multiply(sk_c9,Z_861)) = Z_861 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427904]) ).
tff(c_428690,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_427772,c_428666]) ).
tff(c_427768,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_40,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_427838,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_427768,c_40]) ).
tff(c_427901,plain,
! [Z_846] : ( multiply(sk_c9,multiply(sk_c3,Z_846)) = multiply(identity,Z_846) ),
inference(superposition,[status(thm),theory(equality)],[c_427772,c_427865]) ).
tff(c_427990,plain,
! [Z_850] : ( multiply(sk_c9,multiply(sk_c3,Z_850)) = Z_850 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427901]) ).
tff(c_428002,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_427838,c_427990]) ).
tff(c_428013,plain,
! [Z_851] : ( multiply(sk_c7,multiply(sk_c9,Z_851)) = Z_851 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427904]) ).
tff(c_428025,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_428002,c_428013]) ).
tff(c_428047,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_137,c_428025]) ).
tff(c_50,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_427817,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_427768,c_50]) ).
tff(c_52,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_427781,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_427768,c_52]) ).
tff(c_427785,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_427781,c_4]) ).
tff(c_427898,plain,
! [Z_846] : ( multiply(sk_c6,multiply(sk_c5,Z_846)) = multiply(identity,Z_846) ),
inference(superposition,[status(thm),theory(equality)],[c_427785,c_427865]) ).
tff(c_427951,plain,
! [Z_848] : ( multiply(sk_c6,multiply(sk_c5,Z_848)) = Z_848 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427898]) ).
tff(c_427963,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_427817,c_427951]) ).
tff(c_428049,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_428047,c_427963]) ).
tff(c_427910,plain,
! [X_2,Z_846] : ( multiply(inverse(X_2),multiply(X_2,Z_846)) = multiply(identity,Z_846) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_427865]) ).
tff(c_428064,plain,
! [X_852,Z_853] : ( multiply(inverse(X_852),multiply(X_852,Z_853)) = Z_853 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427910]) ).
tff(c_428109,plain,
multiply(inverse(sk_c9),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_427772,c_428064]) ).
tff(c_428139,plain,
multiply(sk_c7,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_133,c_428109]) ).
tff(c_44,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_427822,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_427768,c_44]) ).
tff(c_428037,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_427822,c_428013]) ).
tff(c_428213,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428139,c_428047,c_428037]) ).
tff(c_428218,plain,
inverse(sk_c9) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428213,c_133]) ).
tff(c_428260,plain,
multiply(sk_c3,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_428218,c_4]) ).
tff(c_54,plain,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_427833,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_427768,c_54]) ).
tff(c_427883,plain,
! [Z_846] : ( multiply(sk_c6,multiply(sk_c7,Z_846)) = multiply(sk_c8,Z_846) ),
inference(superposition,[status(thm),theory(equality)],[c_427833,c_427865]) ).
tff(c_428338,plain,
! [Z_856] : ( multiply(sk_c6,multiply(sk_c3,Z_856)) = Z_856 ),
inference(demodulation,[status(thm),theory(equality)],[c_428213,c_2,c_428047,c_427883]) ).
tff(c_428353,plain,
multiply(sk_c6,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_428260,c_428338]) ).
tff(c_428363,plain,
sk_c9 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_428049,c_428353]) ).
tff(c_427942,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( multiply(inverse(X5_6),sk_c7) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X2_10) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_133,c_427822,c_104]) ).
tff(c_427943,plain,
multiply(sk_c8,sk_c7) != sk_c9,
inference(splitLeft,[status(thm)],[c_427942]) ).
tff(c_428052,plain,
multiply(identity,sk_c7) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_428047,c_427943]) ).
tff(c_428059,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_428052]) ).
tff(c_428215,plain,
sk_c9 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428213,c_428059]) ).
tff(c_428369,plain,
sk_c6 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428363,c_428215]) ).
tff(c_428214,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428213,c_428139]) ).
tff(c_428367,plain,
inverse(sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428363,c_428218]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_427812,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_427768,c_48]) ).
tff(c_46,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_427793,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_427768,c_46]) ).
tff(c_427797,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_427793,c_4]) ).
tff(c_427895,plain,
! [Z_846] : ( multiply(sk_c9,multiply(sk_c4,Z_846)) = multiply(identity,Z_846) ),
inference(superposition,[status(thm),theory(equality)],[c_427797,c_427865]) ).
tff(c_427925,plain,
! [Z_847] : ( multiply(sk_c9,multiply(sk_c4,Z_847)) = Z_847 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427895]) ).
tff(c_427937,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_427812,c_427925]) ).
tff(c_428031,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_427937,c_428013]) ).
tff(c_428275,plain,
multiply(sk_c3,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_428213,c_428047,c_428031]) ).
tff(c_428356,plain,
multiply(sk_c6,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_428275,c_428338]) ).
tff(c_428480,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_428363,c_428356]) ).
tff(c_427923,plain,
! [X_2,Z_846] : ( multiply(inverse(X_2),multiply(X_2,Z_846)) = Z_846 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427910]) ).
tff(c_428484,plain,
multiply(inverse(sk_c6),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_428480,c_427923]) ).
tff(c_428490,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428214,c_428367,c_428484]) ).
tff(c_428492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428369,c_428490]) ).
tff(c_428494,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_427942]) ).
tff(c_428684,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_427822,c_428666]) ).
tff(c_428701,plain,
! [Z_862] : ( multiply(sk_c8,multiply(sk_c7,Z_862)) = multiply(sk_c9,Z_862) ),
inference(superposition,[status(thm),theory(equality)],[c_428494,c_6]) ).
tff(c_428713,plain,
multiply(sk_c9,sk_c8) = multiply(sk_c8,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_428684,c_428701]) ).
tff(c_428726,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_428494,c_428713]) ).
tff(c_427921,plain,
! [Z_846] : ( multiply(sk_c7,multiply(sk_c9,Z_846)) = Z_846 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427904]) ).
tff(c_428768,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_428726,c_427921]) ).
tff(c_428774,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_137,c_428768]) ).
tff(c_428863,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_428774,c_428684]) ).
tff(c_428873,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428690,c_428863]) ).
tff(c_428866,plain,
multiply(identity,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_428774,c_428494]) ).
tff(c_428874,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_428866]) ).
tff(c_428889,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428873,c_428874]) ).
tff(c_428678,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_427937,c_428666]) ).
tff(c_428913,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428889,c_428873,c_428774,c_428678]) ).
tff(c_428892,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428889,c_427767]) ).
tff(c_90,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_121,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_90]) ).
tff(c_428884,plain,
inverse(sk_c2) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428873,c_121]) ).
tff(c_428909,plain,
multiply(sk_c3,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_428884,c_4]) ).
tff(c_429985,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_428909,c_427923]) ).
tff(c_429991,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_428913,c_428892,c_429985]) ).
tff(c_429999,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_429991,c_428884]) ).
tff(c_125,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_121,c_4]) ).
tff(c_428883,plain,
multiply(sk_c3,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_428873,c_125]) ).
tff(c_430065,plain,
multiply(sk_c2,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_429991,c_428883]) ).
tff(c_429035,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_428909,c_427923]) ).
tff(c_429041,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_428913,c_428892,c_429035]) ).
tff(c_428959,plain,
! [X_864,Z_865] : ( multiply(inverse(X_864),multiply(X_864,Z_865)) = Z_865 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_427910]) ).
tff(c_429394,plain,
! [X_871,Z_872] : ( multiply(inverse(inverse(X_871)),Z_872) = multiply(X_871,Z_872) ),
inference(superposition,[status(thm),theory(equality)],[c_428959,c_427923]) ).
tff(c_429007,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_428959]) ).
tff(c_429401,plain,
! [X_871] : ( multiply(X_871,identity) = X_871 ),
inference(superposition,[status(thm),theory(equality)],[c_429394,c_429007]) ).
tff(c_428781,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_428774,c_428684]) ).
tff(c_428791,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428690,c_428781]) ).
tff(c_428784,plain,
multiply(identity,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_428774,c_428494]) ).
tff(c_428792,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_428784]) ).
tff(c_428807,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428791,c_428792]) ).
tff(c_428810,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_428807,c_427767]) ).
tff(c_428493,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X2_10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c7) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_427942]) ).
tff(c_428643,plain,
! [X5_860] :
( ( multiply(inverse(X5_860),sk_c7) != sk_c8 )
| ( multiply(X5_860,inverse(X5_860)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_428493]) ).
tff(c_428645,plain,
( ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_427781,c_428643]) ).
tff(c_428657,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_427817,c_427781,c_427833,c_428645]) ).
tff(c_428658,plain,
! [X2_10,X1_9,X4_11,X3_8] :
( ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X2_10) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_428493]) ).
tff(c_428776,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_428658]) ).
tff(c_428841,plain,
! [X3_863] :
( ( inverse(X3_863) != sk_c3 )
| ( multiply(X3_863,sk_c3) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_428807,c_428774,c_428807,c_428776]) ).
tff(c_428849,plain,
inverse(inverse(sk_c3)) != sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_4,c_428841]) ).
tff(c_428857,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_428810,c_428810,c_428849]) ).
tff(c_428858,plain,
! [X4_11,X1_9,X2_10] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X2_10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_428658]) ).
tff(c_428922,plain,
! [X4_11,X1_9,X2_10] :
( ( inverse(X4_11) != sk_c3 )
| ( multiply(X4_11,sk_c3) != identity )
| ( inverse(X1_9) != sk_c3 )
| ( multiply(X1_9,sk_c3) != identity )
| ( multiply(X2_10,identity) != sk_c3 )
| ( inverse(X2_10) != sk_c3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_428889,c_428889,c_428774,c_428889,c_428774,c_428889,c_428873,c_428774,c_428873,c_428858]) ).
tff(c_428923,plain,
! [X2_10] :
( ( multiply(X2_10,identity) != sk_c3 )
| ( inverse(X2_10) != sk_c3 ) ),
inference(splitLeft,[status(thm)],[c_428922]) ).
tff(c_429843,plain,
inverse(sk_c2) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_429041,c_429401,c_429041,c_428923]) ).
tff(c_429050,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_429041,c_429041,c_428892]) ).
tff(c_429845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_429843,c_429050]) ).
tff(c_429846,plain,
! [X1_9,X4_11] :
( ( inverse(X1_9) != sk_c3 )
| ( multiply(X1_9,sk_c3) != identity )
| ( inverse(X4_11) != sk_c3 )
| ( multiply(X4_11,sk_c3) != identity ) ),
inference(splitRight,[status(thm)],[c_428922]) ).
tff(c_466995,plain,
! [X1_9,X4_11] :
( ( inverse(X1_9) != sk_c2 )
| ( multiply(X1_9,sk_c2) != identity )
| ( inverse(X4_11) != sk_c2 )
| ( multiply(X4_11,sk_c2) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_429991,c_429991,c_429991,c_429991,c_429846]) ).
tff(c_466997,plain,
! [X4_1095] :
( ( inverse(X4_1095) != sk_c2 )
| ( multiply(X4_1095,sk_c2) != identity ) ),
inference(splitLeft,[status(thm)],[c_466995]) ).
tff(c_467059,plain,
inverse(sk_c2) != sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_430065,c_466997]) ).
tff(c_467087,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_429999,c_467059]) ).
tff(c_467089,plain,
! [X1_1096] :
( ( inverse(X1_1096) != sk_c2 )
| ( multiply(X1_1096,sk_c2) != identity ) ),
inference(splitRight,[status(thm)],[c_466995]) ).
tff(c_467151,plain,
inverse(sk_c2) != sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_430065,c_467089]) ).
tff(c_467179,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_429999,c_467151]) ).
tff(c_467181,plain,
inverse(sk_c9) != sk_c7,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_66,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( inverse(sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_468377,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_467181,c_66]) ).
tff(c_56,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_467255,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_467181,c_56]) ).
tff(c_58,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_467207,plain,
inverse(sk_c3) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_467181,c_58]) ).
tff(c_467211,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_467207,c_4]) ).
tff(c_467292,plain,
! [X_1097,Y_1098,Z_1099] : ( multiply(multiply(X_1097,Y_1098),Z_1099) = multiply(X_1097,multiply(Y_1098,Z_1099)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_467325,plain,
! [Z_1099] : ( multiply(sk_c9,multiply(sk_c3,Z_1099)) = multiply(identity,Z_1099) ),
inference(superposition,[status(thm),theory(equality)],[c_467211,c_467292]) ).
tff(c_467413,plain,
! [Z_1103] : ( multiply(sk_c9,multiply(sk_c3,Z_1103)) = Z_1103 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_467325]) ).
tff(c_467425,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_467255,c_467413]) ).
tff(c_467337,plain,
! [X_2,Z_1099] : ( multiply(inverse(X_2),multiply(X_2,Z_1099)) = multiply(identity,Z_1099) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_467292]) ).
tff(c_467501,plain,
! [X_1106,Z_1107] : ( multiply(inverse(X_1106),multiply(X_1106,Z_1107)) = Z_1107 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_467337]) ).
tff(c_467531,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_467425,c_467501]) ).
tff(c_467611,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_467531]) ).
tff(c_64,plain,
( ( multiply(sk_c4,sk_c8) = sk_c9 )
| ( inverse(sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_467260,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_467181,c_64]) ).
tff(c_467630,plain,
multiply(sk_c4,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_467611,c_467260]) ).
tff(c_467310,plain,
! [Z_1099] : ( multiply(sk_c4,multiply(sk_c8,Z_1099)) = multiply(sk_c9,Z_1099) ),
inference(superposition,[status(thm),theory(equality)],[c_467260,c_467292]) ).
tff(c_467747,plain,
! [Z_1099] : ( multiply(sk_c9,Z_1099) = multiply(sk_c4,Z_1099) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_467611,c_467310]) ).
tff(c_467180,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_467185,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_467180,c_4]) ).
tff(c_467748,plain,
! [Z_1109] : ( multiply(sk_c9,Z_1109) = multiply(sk_c4,Z_1109) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_467611,c_467310]) ).
tff(c_467802,plain,
multiply(sk_c4,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_467185,c_467748]) ).
tff(c_467350,plain,
! [X_2,Z_1099] : ( multiply(inverse(X_2),multiply(X_2,Z_1099)) = Z_1099 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_467337]) ).
tff(c_468025,plain,
multiply(inverse(sk_c4),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_467802,c_467350]) ).
tff(c_468034,plain,
sk_c9 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_467630,c_467747,c_467180,c_468025]) ).
tff(c_467631,plain,
multiply(sk_c3,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_467611,c_467255]) ).
tff(c_467346,plain,
! [Z_1099] : ( multiply(sk_c9,multiply(sk_c3,Z_1099)) = Z_1099 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_467325]) ).
tff(c_467727,plain,
multiply(sk_c9,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_467631,c_467346]) ).
tff(c_468194,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_468034,c_468034,c_467727]) ).
tff(c_468052,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_468034,c_467180]) ).
tff(c_467189,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_468051,plain,
inverse(sk_c1) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_468034,c_467189]) ).
tff(c_468132,plain,
multiply(sk_c4,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_468051,c_4]) ).
tff(c_468238,plain,
multiply(inverse(sk_c4),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_468132,c_467350]) ).
tff(c_468244,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_468194,c_468052,c_468238]) ).
tff(c_68,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_467220,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_467181,c_68]) ).
tff(c_467224,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_467220,c_4]) ).
tff(c_467248,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_467181,c_66]) ).
tff(c_467429,plain,
! [Z_1104] : ( multiply(sk_c5,multiply(sk_c6,Z_1104)) = multiply(sk_c8,Z_1104) ),
inference(superposition,[status(thm),theory(equality)],[c_467248,c_467292]) ).
tff(c_467453,plain,
multiply(sk_c8,sk_c5) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_467224,c_467429]) ).
tff(c_467622,plain,
multiply(sk_c5,identity) = multiply(identity,sk_c5),
inference(demodulation,[status(thm),theory(equality)],[c_467611,c_467453]) ).
tff(c_467634,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_467622]) ).
tff(c_70,plain,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( inverse(sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_467239,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_467181,c_70]) ).
tff(c_467450,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_467239,c_467429]) ).
tff(c_467623,plain,
multiply(sk_c5,identity) = multiply(identity,sk_c7),
inference(demodulation,[status(thm),theory(equality)],[c_467611,c_467611,c_467450]) ).
tff(c_467635,plain,
multiply(sk_c5,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_467623]) ).
tff(c_467834,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_467634,c_467635]) ).
tff(c_467885,plain,
inverse(sk_c9) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_467834,c_467181]) ).
tff(c_468040,plain,
inverse(sk_c4) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_468034,c_467885]) ).
tff(c_468095,plain,
sk_c5 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_468052,c_468040]) ).
tff(c_468253,plain,
sk_c5 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_468244,c_468095]) ).
tff(c_468252,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_468244,c_468051]) ).
tff(c_468257,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_468244,c_468034]) ).
tff(c_467193,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_467189,c_4]) ).
tff(c_467585,plain,
multiply(inverse(sk_c9),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_467193,c_467501]) ).
tff(c_468282,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_468252,c_468257,c_467585]) ).
tff(c_60,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( inverse(sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_467270,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_467181,c_60]) ).
tff(c_467629,plain,
multiply(sk_c9,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_467611,c_467270]) ).
tff(c_467882,plain,
multiply(sk_c9,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_467834,c_467629]) ).
tff(c_467981,plain,
multiply(sk_c4,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_467747,c_467882]) ).
tff(c_468315,plain,
multiply(sk_c1,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_468244,c_467981]) ).
tff(c_468319,plain,
multiply(inverse(sk_c1),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_468315,c_467350]) ).
tff(c_468325,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_468282,c_468252,c_468319]) ).
tff(c_468327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_468253,c_468325]) ).
tff(c_468328,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_468351,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_468328,c_4]) ).
tff(c_468439,plain,
! [X_1114,Y_1115,Z_1116] : ( multiply(multiply(X_1114,Y_1115),Z_1116) = multiply(X_1114,multiply(Y_1115,Z_1116)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_468472,plain,
! [Z_1116] : ( multiply(sk_c6,multiply(sk_c5,Z_1116)) = multiply(identity,Z_1116) ),
inference(superposition,[status(thm),theory(equality)],[c_468351,c_468439]) ).
tff(c_468543,plain,
! [Z_1119] : ( multiply(sk_c6,multiply(sk_c5,Z_1119)) = Z_1119 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_468472]) ).
tff(c_468555,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_468377,c_468543]) ).
tff(c_468481,plain,
! [X_2,Z_1116] : ( multiply(inverse(X_2),multiply(X_2,Z_1116)) = multiply(identity,Z_1116) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_468439]) ).
tff(c_468579,plain,
! [X_1121,Z_1122] : ( multiply(inverse(X_1121),multiply(X_1121,Z_1122)) = Z_1122 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_468481]) ).
tff(c_468600,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_468555,c_468579]) ).
tff(c_468667,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_468600]) ).
tff(c_468329,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_468399,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_468329,c_48]) ).
tff(c_468680,plain,
multiply(sk_c4,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_468667,c_468399]) ).
tff(c_468457,plain,
! [Z_1116] : ( multiply(sk_c4,multiply(sk_c8,Z_1116)) = multiply(sk_c9,Z_1116) ),
inference(superposition,[status(thm),theory(equality)],[c_468399,c_468439]) ).
tff(c_468806,plain,
! [Z_1116] : ( multiply(sk_c9,Z_1116) = multiply(sk_c4,Z_1116) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_468667,c_468457]) ).
tff(c_468807,plain,
! [Z_1124] : ( multiply(sk_c9,Z_1124) = multiply(sk_c4,Z_1124) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_468667,c_468457]) ).
tff(c_468855,plain,
multiply(sk_c4,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_467185,c_468807]) ).
tff(c_468493,plain,
! [X_2,Z_1116] : ( multiply(inverse(X_2),multiply(X_2,Z_1116)) = Z_1116 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_468481]) ).
tff(c_468922,plain,
multiply(inverse(sk_c4),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_468855,c_468493]) ).
tff(c_468931,plain,
sk_c9 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_468680,c_468806,c_467180,c_468922]) ).
tff(c_468947,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_468931,c_467180]) ).
tff(c_468946,plain,
inverse(sk_c4) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_468931,c_467181]) ).
tff(c_468990,plain,
sk_c7 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_468947,c_468946]) ).
tff(c_468382,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_468329,c_40]) ).
tff(c_468682,plain,
multiply(sk_c3,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_468667,c_468382]) ).
tff(c_468330,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_468338,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_468329,c_468330]) ).
tff(c_468339,plain,
inverse(sk_c3) = sk_c9,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_468344,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_468339,c_4]) ).
tff(c_468469,plain,
! [Z_1116] : ( multiply(sk_c9,multiply(sk_c3,Z_1116)) = multiply(identity,Z_1116) ),
inference(superposition,[status(thm),theory(equality)],[c_468344,c_468439]) ).
tff(c_468489,plain,
! [Z_1116] : ( multiply(sk_c9,multiply(sk_c3,Z_1116)) = Z_1116 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_468469]) ).
tff(c_468695,plain,
multiply(sk_c9,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_468682,c_468489]) ).
tff(c_469034,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_468931,c_468931,c_468695]) ).
tff(c_468387,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_468329,c_44]) ).
tff(c_468681,plain,
multiply(sk_c9,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_468667,c_468387]) ).
tff(c_468840,plain,
multiply(sk_c4,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_468681,c_468807]) ).
tff(c_469009,plain,
multiply(inverse(sk_c4),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_468840,c_468493]) ).
tff(c_469015,plain,
multiply(sk_c4,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_468947,c_469009]) ).
tff(c_469229,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_469034,c_469015]) ).
tff(c_469230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_468990,c_469229]) ).
tff(c_469231,plain,
inverse(sk_c3) = sk_c9,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_531538,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_469231,c_4]) ).
tff(c_469232,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_88,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_531600,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_469232,c_88]) ).
tff(c_531646,plain,
! [X_1468,Y_1469,Z_1470] : ( multiply(multiply(X_1468,Y_1469),Z_1470) = multiply(X_1468,multiply(Y_1469,Z_1470)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_531682,plain,
! [Z_1470] : ( multiply(sk_c9,multiply(sk_c3,Z_1470)) = multiply(identity,Z_1470) ),
inference(superposition,[status(thm),theory(equality)],[c_531538,c_531646]) ).
tff(c_532498,plain,
! [Z_1484] : ( multiply(sk_c9,multiply(sk_c3,Z_1484)) = Z_1484 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_531682]) ).
tff(c_532510,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_531600,c_532498]) ).
tff(c_531685,plain,
! [X_2,Z_1470] : ( multiply(inverse(X_2),multiply(X_2,Z_1470)) = multiply(identity,Z_1470) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_531646]) ).
tff(c_532545,plain,
! [X_1486,Z_1487] : ( multiply(inverse(X_1486),multiply(X_1486,Z_1487)) = Z_1487 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_531685]) ).
tff(c_532569,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_532510,c_532545]) ).
tff(c_532630,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_532569]) ).
tff(c_98,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_531588,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_469232,c_98]) ).
tff(c_530490,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_469232,c_88]) ).
tff(c_469237,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_469231,c_4]) ).
tff(c_530547,plain,
! [X_1452,Y_1453,Z_1454] : ( multiply(multiply(X_1452,Y_1453),Z_1454) = multiply(X_1452,multiply(Y_1453,Z_1454)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_530586,plain,
! [Z_1454] : ( multiply(sk_c9,multiply(sk_c3,Z_1454)) = multiply(identity,Z_1454) ),
inference(superposition,[status(thm),theory(equality)],[c_469237,c_530547]) ).
tff(c_530626,plain,
! [Z_1456] : ( multiply(sk_c9,multiply(sk_c3,Z_1456)) = Z_1456 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_530586]) ).
tff(c_530638,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_530490,c_530626]) ).
tff(c_530589,plain,
! [X_2,Z_1454] : ( multiply(inverse(X_2),multiply(X_2,Z_1454)) = multiply(identity,Z_1454) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_530547]) ).
tff(c_530770,plain,
! [X_1460,Z_1461] : ( multiply(inverse(X_1460),multiply(X_1460,Z_1461)) = Z_1461 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_530589]) ).
tff(c_530815,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_530638,c_530770]) ).
tff(c_530878,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_530815]) ).
tff(c_530506,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_469232,c_98]) ).
tff(c_100,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_530468,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_469232,c_100]) ).
tff(c_530472,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_530468,c_4]) ).
tff(c_530577,plain,
! [Z_1454] : ( multiply(sk_c6,multiply(sk_c5,Z_1454)) = multiply(identity,Z_1454) ),
inference(superposition,[status(thm),theory(equality)],[c_530472,c_530547]) ).
tff(c_530603,plain,
! [Z_1455] : ( multiply(sk_c6,multiply(sk_c5,Z_1455)) = Z_1455 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_530577]) ).
tff(c_530615,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_530506,c_530603]) ).
tff(c_530895,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_530878,c_530615]) ).
tff(c_469233,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_469244,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_469233,c_4]) ).
tff(c_530687,plain,
! [Z_1459] : ( multiply(sk_c3,multiply(sk_c9,Z_1459)) = multiply(sk_c8,Z_1459) ),
inference(superposition,[status(thm),theory(equality)],[c_530490,c_530547]) ).
tff(c_530723,plain,
multiply(sk_c8,sk_c1) = multiply(sk_c3,identity),
inference(superposition,[status(thm),theory(equality)],[c_469244,c_530687]) ).
tff(c_530887,plain,
multiply(sk_c3,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_530878,c_530723]) ).
tff(c_530901,plain,
multiply(sk_c3,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_530887]) ).
tff(c_530726,plain,
multiply(sk_c8,sk_c3) = multiply(sk_c3,identity),
inference(superposition,[status(thm),theory(equality)],[c_469237,c_530687]) ).
tff(c_530890,plain,
multiply(sk_c3,identity) = multiply(identity,sk_c3),
inference(demodulation,[status(thm),theory(equality)],[c_530878,c_530726]) ).
tff(c_530904,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_530890]) ).
tff(c_531117,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_530901,c_530904]) ).
tff(c_530899,plain,
multiply(sk_c3,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_530878,c_530490]) ).
tff(c_531138,plain,
multiply(sk_c1,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_531117,c_530899]) ).
tff(c_92,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_530485,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_469232,c_92]) ).
tff(c_530717,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c3,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_530485,c_530687]) ).
tff(c_530889,plain,
multiply(sk_c3,identity) = multiply(identity,sk_c7),
inference(demodulation,[status(thm),theory(equality)],[c_530878,c_530878,c_530717]) ).
tff(c_530903,plain,
multiply(sk_c3,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_530889]) ).
tff(c_531047,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_530904,c_530903]) ).
tff(c_531137,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_531117,c_531047]) ).
tff(c_469257,plain,
inverse(sk_c9) = sk_c7,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_469261,plain,
multiply(sk_c7,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_469257,c_4]) ).
tff(c_469355,plain,
! [X_1130,Y_1131,Z_1132] : ( multiply(multiply(X_1130,Y_1131),Z_1132) = multiply(X_1130,multiply(Y_1131,Z_1132)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_469391,plain,
! [Z_1132] : ( multiply(sk_c7,multiply(sk_c9,Z_1132)) = multiply(identity,Z_1132) ),
inference(superposition,[status(thm),theory(equality)],[c_469261,c_469355]) ).
tff(c_470446,plain,
! [Z_1153] : ( multiply(sk_c7,multiply(sk_c9,Z_1153)) = Z_1153 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_469391]) ).
tff(c_470485,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_469237,c_470446]) ).
tff(c_469303,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_469232,c_88]) ).
tff(c_469397,plain,
! [Z_1132] : ( multiply(sk_c9,multiply(sk_c3,Z_1132)) = multiply(identity,Z_1132) ),
inference(superposition,[status(thm),theory(equality)],[c_469237,c_469355]) ).
tff(c_469438,plain,
! [Z_1134] : ( multiply(sk_c9,multiply(sk_c3,Z_1134)) = Z_1134 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_469397]) ).
tff(c_469450,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_469303,c_469438]) ).
tff(c_470464,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_469450,c_470446]) ).
tff(c_470489,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_469261,c_470464]) ).
tff(c_469312,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_469232,c_92]) ).
tff(c_470476,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_469312,c_470446]) ).
tff(c_471813,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_470485,c_470489,c_470476]) ).
tff(c_94,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_469284,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_469232,c_94]) ).
tff(c_469288,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_469284,c_4]) ).
tff(c_470479,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_469288,c_470446]) ).
tff(c_471873,plain,
multiply(sk_c3,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_471813,c_470479]) ).
tff(c_470482,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_469244,c_470446]) ).
tff(c_471918,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_471873,c_471813,c_470482]) ).
tff(c_471919,plain,
multiply(sk_c3,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_471918,c_471873]) ).
tff(c_471814,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_471813,c_470485]) ).
tff(c_472019,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_471919,c_471814]) ).
tff(c_469400,plain,
! [X_2,Z_1132] : ( multiply(inverse(X_2),multiply(X_2,Z_1132)) = multiply(identity,Z_1132) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_469355]) ).
tff(c_469500,plain,
! [X_1137,Z_1138] : ( multiply(inverse(X_1137),multiply(X_1137,Z_1138)) = Z_1138 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_469400]) ).
tff(c_469578,plain,
multiply(inverse(sk_c9),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_469237,c_469500]) ).
tff(c_469608,plain,
multiply(sk_c7,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_469257,c_469578]) ).
tff(c_469327,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_469232,c_98]) ).
tff(c_469270,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_469232,c_100]) ).
tff(c_469274,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_469270,c_4]) ).
tff(c_469388,plain,
! [Z_1132] : ( multiply(sk_c6,multiply(sk_c5,Z_1132)) = multiply(identity,Z_1132) ),
inference(superposition,[status(thm),theory(equality)],[c_469274,c_469355]) ).
tff(c_469464,plain,
! [Z_1135] : ( multiply(sk_c6,multiply(sk_c5,Z_1135)) = Z_1135 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_469388]) ).
tff(c_469476,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_469327,c_469464]) ).
tff(c_469521,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_469476,c_469500]) ).
tff(c_469595,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_469521]) ).
tff(c_469548,plain,
multiply(inverse(sk_c9),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_469312,c_469500]) ).
tff(c_469601,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_469257,c_469548]) ).
tff(c_469684,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_469608,c_469595,c_469601]) ).
tff(c_469575,plain,
multiply(inverse(sk_c9),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_469244,c_469500]) ).
tff(c_469607,plain,
multiply(sk_c7,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_469257,c_469575]) ).
tff(c_469739,plain,
multiply(sk_c3,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_469684,c_469607]) ).
tff(c_96,plain,
( ( multiply(sk_c4,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_469292,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_469232,c_96]) ).
tff(c_469382,plain,
! [Z_1132] : ( multiply(sk_c9,multiply(sk_c4,Z_1132)) = multiply(identity,Z_1132) ),
inference(superposition,[status(thm),theory(equality)],[c_469288,c_469355]) ).
tff(c_469415,plain,
! [Z_1133] : ( multiply(sk_c9,multiply(sk_c4,Z_1133)) = Z_1133 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_469382]) ).
tff(c_469427,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_469292,c_469415]) ).
tff(c_469614,plain,
multiply(sk_c9,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_469595,c_469427]) ).
tff(c_469379,plain,
! [Z_1132] : ( multiply(sk_c3,multiply(sk_c9,Z_1132)) = multiply(sk_c8,Z_1132) ),
inference(superposition,[status(thm),theory(equality)],[c_469303,c_469355]) ).
tff(c_469704,plain,
! [Z_1132] : ( multiply(sk_c3,multiply(sk_c9,Z_1132)) = Z_1132 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_469595,c_469379]) ).
tff(c_469801,plain,
multiply(sk_c3,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_469614,c_469704]) ).
tff(c_469810,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_469739,c_469801]) ).
tff(c_469455,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( multiply(inverse(X5_6),sk_c7) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X2_10) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_469257,c_469312,c_104]) ).
tff(c_469456,plain,
multiply(sk_c8,sk_c7) != sk_c9,
inference(splitLeft,[status(thm)],[c_469455]) ).
tff(c_469613,plain,
multiply(identity,sk_c7) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_469595,c_469456]) ).
tff(c_469620,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_469613]) ).
tff(c_469686,plain,
sk_c9 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_469684,c_469620]) ).
tff(c_469818,plain,
sk_c3 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_469810,c_469686]) ).
tff(c_469823,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_469810,c_469233]) ).
tff(c_469688,plain,
inverse(sk_c9) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_469684,c_469257]) ).
tff(c_469817,plain,
inverse(sk_c1) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_469810,c_469688]) ).
tff(c_469870,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_469823,c_469817]) ).
tff(c_469872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_469818,c_469870]) ).
tff(c_469874,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_469455]) ).
tff(c_470492,plain,
multiply(identity,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_470489,c_469874]) ).
tff(c_470500,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_470492]) ).
tff(c_470513,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_470500,c_469257]) ).
tff(c_471817,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_471813,c_471813,c_470513]) ).
tff(c_472042,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_472019,c_472019,c_471817]) ).
tff(c_472046,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_472019,c_471813]) ).
tff(c_471733,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_470513,c_4]) ).
tff(c_472070,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_472046,c_472046,c_471733]) ).
tff(c_469413,plain,
! [X_2,Z_1132] : ( multiply(inverse(X_2),multiply(X_2,Z_1132)) = Z_1132 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_469400]) ).
tff(c_471759,plain,
! [X_1174,Z_1175] : ( multiply(inverse(X_1174),multiply(X_1174,Z_1175)) = Z_1175 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_469400]) ).
tff(c_472321,plain,
! [X_1181,Z_1182] : ( multiply(inverse(inverse(X_1181)),Z_1182) = multiply(X_1181,Z_1182) ),
inference(superposition,[status(thm),theory(equality)],[c_469413,c_471759]) ).
tff(c_471804,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_471759]) ).
tff(c_472332,plain,
! [X_1181] : ( multiply(X_1181,identity) = X_1181 ),
inference(superposition,[status(thm),theory(equality)],[c_472321,c_471804]) ).
tff(c_470560,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_470489,c_470476]) ).
tff(c_470569,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_470479,c_470560]) ).
tff(c_470584,plain,
sk_c9 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_470569,c_470500]) ).
tff(c_470499,plain,
multiply(sk_c4,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_470489,c_469292]) ).
tff(c_470772,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_470584,c_470499]) ).
tff(c_470511,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_470500,c_469284]) ).
tff(c_470583,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_470569,c_470511]) ).
tff(c_470676,plain,
multiply(sk_c4,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_470569,c_470485]) ).
tff(c_470689,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_470676,c_470569,c_470482]) ).
tff(c_470515,plain,
multiply(sk_c7,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_470500,c_469237]) ).
tff(c_470805,plain,
multiply(sk_c4,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_470689,c_470569,c_470515]) ).
tff(c_470809,plain,
multiply(inverse(sk_c4),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_470805,c_469413]) ).
tff(c_470815,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_470772,c_470583,c_470809]) ).
tff(c_470823,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_470815,c_470815,c_470583]) ).
tff(c_470516,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_470500,c_469233]) ).
tff(c_470580,plain,
inverse(sk_c1) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_470569,c_470516]) ).
tff(c_470638,plain,
multiply(sk_c4,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_470580,c_4]) ).
tff(c_470836,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_470815,c_470638]) ).
tff(c_470827,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_470815,c_470569]) ).
tff(c_469942,plain,
! [Z_1145] : ( multiply(sk_c7,multiply(sk_c9,Z_1145)) = Z_1145 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_469391]) ).
tff(c_469981,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_469237,c_469942]) ).
tff(c_469960,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_469450,c_469942]) ).
tff(c_469985,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_469261,c_469960]) ).
tff(c_469972,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_469312,c_469942]) ).
tff(c_470100,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_469981,c_469985,c_469972]) ).
tff(c_469978,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_469244,c_469942]) ).
tff(c_470142,plain,
multiply(sk_c3,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_470100,c_469978]) ).
tff(c_469988,plain,
multiply(identity,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_469985,c_469874]) ).
tff(c_469996,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_469988]) ).
tff(c_470013,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_469996,c_469231]) ).
tff(c_470105,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_470100,c_470013]) ).
tff(c_470035,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_470013,c_4]) ).
tff(c_470117,plain,
multiply(sk_c3,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_470100,c_470035]) ).
tff(c_470151,plain,
! [X_1148,Z_1149] : ( multiply(inverse(X_1148),multiply(X_1148,Z_1149)) = Z_1149 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_469400]) ).
tff(c_470178,plain,
multiply(inverse(sk_c3),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_470117,c_470151]) ).
tff(c_470201,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_470142,c_470105,c_470178]) ).
tff(c_470209,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_470201,c_470100]) ).
tff(c_470009,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_469996,c_469257]) ).
tff(c_470056,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_470009,c_4]) ).
tff(c_470223,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_470209,c_470209,c_470056]) ).
tff(c_469873,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X2_10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c7) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_469455]) ).
tff(c_469941,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c7) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_469873]) ).
tff(c_470072,plain,
! [X5_1147] :
( ( multiply(inverse(X5_1147),sk_c7) != identity )
| ( multiply(X5_1147,inverse(X5_1147)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_469985,c_469985,c_469941]) ).
tff(c_470085,plain,
multiply(sk_c7,inverse(sk_c7)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_470072]) ).
tff(c_470092,plain,
multiply(sk_c7,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_470009,c_470085]) ).
tff(c_470444,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_470223,c_470209,c_470209,c_470092]) ).
tff(c_470445,plain,
! [X2_10,X1_9,X4_11,X3_8] :
( ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X2_10) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_469873]) ).
tff(c_470529,plain,
! [X2_10,X1_9,X4_11,X3_8] :
( ( multiply(X2_10,identity) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != identity )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != identity )
| ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470500,c_470489,c_470500,c_470489,c_470500,c_470489,c_470500,c_470500,c_470500,c_470489,c_470445]) ).
tff(c_470530,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != identity ) ),
inference(splitLeft,[status(thm)],[c_470529]) ).
tff(c_471709,plain,
! [X3_1173] :
( ( inverse(X3_1173) != sk_c1 )
| ( multiply(X3_1173,sk_c1) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_470827,c_470827,c_470530]) ).
tff(c_471712,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_470836,c_471709]) ).
tff(c_471728,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_470823,c_471712]) ).
tff(c_471729,plain,
! [X4_11,X1_9,X2_10] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != identity )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != identity )
| ( multiply(X2_10,identity) != sk_c7 )
| ( inverse(X2_10) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_470529]) ).
tff(c_528507,plain,
! [X4_11,X1_9,X2_10] :
( ( inverse(X4_11) != sk_c1 )
| ( multiply(X4_11,sk_c1) != identity )
| ( inverse(X1_9) != sk_c1 )
| ( multiply(X1_9,sk_c1) != identity )
| ( sk_c1 != X2_10 )
| ( inverse(X2_10) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_472046,c_472332,c_472046,c_472046,c_472046,c_472046,c_472046,c_471729]) ).
tff(c_528509,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_528507]) ).
tff(c_528511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_528509,c_472042]) ).
tff(c_528512,plain,
! [X1_9,X4_11] :
( ( inverse(X1_9) != sk_c1 )
| ( multiply(X1_9,sk_c1) != identity )
| ( inverse(X4_11) != sk_c1 )
| ( multiply(X4_11,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_528507]) ).
tff(c_530268,plain,
! [X4_1450] :
( ( inverse(X4_1450) != sk_c1 )
| ( multiply(X4_1450,sk_c1) != identity ) ),
inference(splitLeft,[status(thm)],[c_528512]) ).
tff(c_530330,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_472070,c_530268]) ).
tff(c_530358,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_472042,c_530330]) ).
tff(c_530360,plain,
! [X1_1451] :
( ( inverse(X1_1451) != sk_c1 )
| ( multiply(X1_1451,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_528512]) ).
tff(c_530422,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_472070,c_530360]) ).
tff(c_530450,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_472042,c_530422]) ).
tff(c_530452,plain,
inverse(sk_c9) != sk_c7,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_530495,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_530452,c_70]) ).
tff(c_530568,plain,
! [Z_1454] : ( multiply(sk_c6,multiply(sk_c7,Z_1454)) = multiply(sk_c8,Z_1454) ),
inference(superposition,[status(thm),theory(equality)],[c_530495,c_530547]) ).
tff(c_531186,plain,
! [Z_1454] : ( multiply(sk_c6,multiply(sk_c1,Z_1454)) = Z_1454 ),
inference(demodulation,[status(thm),theory(equality)],[c_531137,c_2,c_530878,c_530568]) ).
tff(c_531224,plain,
multiply(sk_c6,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_531138,c_531186]) ).
tff(c_531236,plain,
sk_c9 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_530895,c_531224]) ).
tff(c_530842,plain,
multiply(inverse(sk_c9),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_530485,c_530770]) ).
tff(c_531410,plain,
multiply(inverse(sk_c6),identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_531236,c_531137,c_530878,c_530842]) ).
tff(c_530513,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_530452,c_64]) ).
tff(c_530896,plain,
multiply(sk_c4,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_530878,c_530513]) ).
tff(c_530451,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_530456,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_530451,c_4]) ).
tff(c_530580,plain,
! [Z_1454] : ( multiply(sk_c9,multiply(sk_c4,Z_1454)) = multiply(identity,Z_1454) ),
inference(superposition,[status(thm),theory(equality)],[c_530456,c_530547]) ).
tff(c_530598,plain,
! [Z_1454] : ( multiply(sk_c9,multiply(sk_c4,Z_1454)) = Z_1454 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_530580]) ).
tff(c_531108,plain,
multiply(sk_c9,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_530896,c_530598]) ).
tff(c_531472,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_531236,c_531236,c_531108]) ).
tff(c_530601,plain,
! [X_2,Z_1454] : ( multiply(inverse(X_2),multiply(X_2,Z_1454)) = Z_1454 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_530589]) ).
tff(c_531476,plain,
multiply(inverse(sk_c6),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_531472,c_530601]) ).
tff(c_531482,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_531410,c_531476]) ).
tff(c_531250,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_531236,c_469233]) ).
tff(c_531488,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_531482,c_531250]) ).
tff(c_531066,plain,
inverse(sk_c9) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_531047,c_530452]) ).
tff(c_531135,plain,
inverse(sk_c9) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_531117,c_531066]) ).
tff(c_531242,plain,
inverse(sk_c6) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_531236,c_531135]) ).
tff(c_531489,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_531482,c_531242]) ).
tff(c_531532,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_531488,c_531489]) ).
tff(c_531534,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_531565,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_531534,c_52]) ).
tff(c_531569,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_531565,c_4]) ).
tff(c_531676,plain,
! [Z_1470] : ( multiply(sk_c6,multiply(sk_c5,Z_1470)) = multiply(identity,Z_1470) ),
inference(superposition,[status(thm),theory(equality)],[c_531569,c_531646]) ).
tff(c_531698,plain,
! [Z_1471] : ( multiply(sk_c6,multiply(sk_c5,Z_1471)) = Z_1471 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_531676]) ).
tff(c_531710,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_531588,c_531698]) ).
tff(c_531763,plain,
! [X_1474,Z_1475] : ( multiply(inverse(X_1474),multiply(X_1474,Z_1475)) = Z_1475 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_531685]) ).
tff(c_531790,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_531710,c_531763]) ).
tff(c_531839,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_531790]) ).
tff(c_531802,plain,
multiply(inverse(sk_c3),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_531600,c_531763]) ).
tff(c_531841,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_469231,c_531802]) ).
tff(c_531859,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_531839,c_531841]) ).
tff(c_531542,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_531544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_531534,c_531542]) ).
tff(c_531545,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_531608,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_531534,c_48]) ).
tff(c_531661,plain,
! [Z_1470] : ( multiply(sk_c4,multiply(sk_c8,Z_1470)) = multiply(sk_c9,Z_1470) ),
inference(superposition,[status(thm),theory(equality)],[c_531608,c_531646]) ).
tff(c_531967,plain,
! [Z_1477] : ( multiply(sk_c9,Z_1477) = multiply(sk_c4,Z_1477) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_531839,c_531661]) ).
tff(c_531550,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_531545,c_4]) ).
tff(c_531991,plain,
multiply(sk_c4,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_531967,c_531550]) ).
tff(c_531696,plain,
! [X_2,Z_1470] : ( multiply(inverse(X_2),multiply(X_2,Z_1470)) = Z_1470 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_531685]) ).
tff(c_532133,plain,
multiply(inverse(sk_c4),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_531991,c_531696]) ).
tff(c_532142,plain,
sk_c9 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_531859,c_531545,c_532133]) ).
tff(c_532158,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_532142,c_531545]) ).
tff(c_532015,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_531538,c_531967]) ).
tff(c_532275,plain,
multiply(inverse(sk_c4),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_532015,c_531696]) ).
tff(c_532281,plain,
multiply(sk_c4,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_532158,c_532275]) ).
tff(c_532160,plain,
inverse(sk_c3) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_532142,c_469231]) ).
tff(c_531670,plain,
! [Z_1470] : ( multiply(sk_c5,multiply(sk_c6,Z_1470)) = multiply(sk_c8,Z_1470) ),
inference(superposition,[status(thm),theory(equality)],[c_531588,c_531646]) ).
tff(c_532169,plain,
! [Z_1480] : ( multiply(sk_c5,multiply(sk_c6,Z_1480)) = Z_1480 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_531839,c_531670]) ).
tff(c_532196,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_531569,c_532169]) ).
tff(c_102,plain,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_531582,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_469232,c_102]) ).
tff(c_531853,plain,
multiply(sk_c6,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_531839,c_531582]) ).
tff(c_532187,plain,
multiply(sk_c5,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_531853,c_532169]) ).
tff(c_532300,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_532196,c_532187]) ).
tff(c_531593,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_531534,c_44]) ).
tff(c_531851,plain,
multiply(sk_c9,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_531839,c_531593]) ).
tff(c_531973,plain,
multiply(sk_c4,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_531967,c_531851]) ).
tff(c_532301,plain,
multiply(sk_c4,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_532300,c_531973]) ).
tff(c_532317,plain,
multiply(inverse(sk_c4),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_532301,c_531696]) ).
tff(c_532323,plain,
multiply(sk_c4,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_532158,c_532317]) ).
tff(c_532345,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_532281,c_532323]) ).
tff(c_532415,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_532345,c_531565]) ).
tff(c_532417,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_532160,c_532415]) ).
tff(c_531847,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_531839,c_531710]) ).
tff(c_532426,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_532417,c_532417,c_531847]) ).
tff(c_532427,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_532281,c_532426]) ).
tff(c_531715,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( multiply(inverse(X5_6),sk_c7) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X2_10) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_531593,c_104]) ).
tff(c_531716,plain,
multiply(sk_c8,sk_c7) != sk_c9,
inference(splitLeft,[status(thm)],[c_531715]) ).
tff(c_531848,plain,
multiply(identity,sk_c7) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_531839,c_531716]) ).
tff(c_531854,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_531848]) ).
tff(c_532153,plain,
sk_c7 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_532142,c_531854]) ).
tff(c_532302,plain,
sk_c5 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_532300,c_532153]) ).
tff(c_532408,plain,
sk_c4 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_532345,c_532302]) ).
tff(c_532468,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_532427,c_532408]) ).
tff(c_532470,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_531715]) ).
tff(c_532642,plain,
multiply(identity,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_532630,c_532470]) ).
tff(c_532649,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_532642]) ).
tff(c_532694,plain,
multiply(sk_c7,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_532649,c_531550]) ).
tff(c_531664,plain,
! [Z_1470] : ( multiply(sk_c3,multiply(sk_c9,Z_1470)) = multiply(sk_c8,Z_1470) ),
inference(superposition,[status(thm),theory(equality)],[c_531600,c_531646]) ).
tff(c_532845,plain,
! [Z_1490] : ( multiply(sk_c3,multiply(sk_c7,Z_1490)) = Z_1490 ),
inference(demodulation,[status(thm),theory(equality)],[c_532649,c_2,c_532630,c_531664]) ).
tff(c_532860,plain,
multiply(sk_c3,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_532694,c_532845]) ).
tff(c_532645,plain,
multiply(sk_c9,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_532630,c_531593]) ).
tff(c_532791,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_532649,c_532645]) ).
tff(c_532863,plain,
multiply(sk_c3,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_532791,c_532845]) ).
tff(c_532916,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_532860,c_532863]) ).
tff(c_532696,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_532649,c_531545]) ).
tff(c_532940,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_532916,c_532696]) ).
tff(c_532469,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( inverse(sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X2_10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c7) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_531715]) ).
tff(c_532544,plain,
inverse(sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_532469]) ).
tff(c_532691,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_532649,c_532544]) ).
tff(c_532937,plain,
inverse(sk_c4) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_532916,c_532916,c_532691]) ).
tff(c_532985,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_532940,c_532937]) ).
tff(c_532987,plain,
inverse(sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_532469]) ).
tff(c_532991,plain,
multiply(sk_c7,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_532987,c_4]) ).
tff(c_533001,plain,
! [Z_5] : ( multiply(sk_c7,multiply(sk_c9,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_532991,c_6]) ).
tff(c_533014,plain,
! [Z_1491] : ( multiply(sk_c7,multiply(sk_c9,Z_1491)) = Z_1491 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_533001]) ).
tff(c_533047,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_531538,c_533014]) ).
tff(c_533035,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_532510,c_533014]) ).
tff(c_533051,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_532991,c_533035]) ).
tff(c_533041,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_531593,c_533014]) ).
tff(c_539088,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_533047,c_533051,c_533041]) ).
tff(c_533382,plain,
multiply(identity,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_533051,c_532470]) ).
tff(c_533390,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_533382]) ).
tff(c_533397,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_533390,c_532987]) ).
tff(c_539094,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_539088,c_539088,c_533397]) ).
tff(c_538999,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_533397,c_4]) ).
tff(c_539152,plain,
multiply(sk_c3,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_539088,c_539088,c_538999]) ).
tff(c_539003,plain,
! [X_1568,Z_1569] : ( multiply(inverse(X_1568),multiply(X_1568,Z_1569)) = Z_1569 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_531685]) ).
tff(c_539490,plain,
! [X_1574,Z_1575] : ( multiply(inverse(inverse(X_1574)),Z_1575) = multiply(X_1574,Z_1575) ),
inference(superposition,[status(thm),theory(equality)],[c_539003,c_531696]) ).
tff(c_539036,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_539003]) ).
tff(c_539497,plain,
! [X_1574] : ( multiply(X_1574,identity) = X_1574 ),
inference(superposition,[status(thm),theory(equality)],[c_539490,c_539036]) ).
tff(c_533472,plain,
! [X_1495,Z_1496] : ( multiply(inverse(X_1495),multiply(X_1495,Z_1496)) = Z_1496 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_531685]) ).
tff(c_533800,plain,
! [X_1500] : ( multiply(inverse(identity),X_1500) = X_1500 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_533472]) ).
tff(c_533867,plain,
! [X_1502] : ( multiply(inverse(inverse(identity)),X_1502) = X_1502 ),
inference(superposition,[status(thm),theory(equality)],[c_533800,c_531696]) ).
tff(c_533888,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_533867,c_4]) ).
tff(c_533932,plain,
! [X_1503,Z_1504] : ( multiply(inverse(inverse(X_1503)),Z_1504) = multiply(X_1503,Z_1504) ),
inference(superposition,[status(thm),theory(equality)],[c_531696,c_533472]) ).
tff(c_533953,plain,
! [X_1503] : ( multiply(X_1503,inverse(X_1503)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_533932,c_4]) ).
tff(c_533044,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_531550,c_533014]) ).
tff(c_533448,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_533044,c_533051,c_533041]) ).
tff(c_533536,plain,
multiply(sk_c4,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_533448,c_533047]) ).
tff(c_533455,plain,
sk_c9 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_533448,c_533390]) ).
tff(c_533379,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_533051,c_532510]) ).
tff(c_533551,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_533536,c_533455,c_533455,c_533379]) ).
tff(c_533558,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_533551,c_533455]) ).
tff(c_533559,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_533551,c_533448]) ).
tff(c_531667,plain,
! [Z_1470] : ( multiply(sk_c9,multiply(sk_c7,Z_1470)) = multiply(sk_c8,Z_1470) ),
inference(superposition,[status(thm),theory(equality)],[c_531593,c_531646]) ).
tff(c_533709,plain,
! [Z_1470] : ( multiply(sk_c3,multiply(sk_c3,Z_1470)) = Z_1470 ),
inference(demodulation,[status(thm),theory(equality)],[c_533558,c_533559,c_2,c_533051,c_531667]) ).
tff(c_533505,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_533472]) ).
tff(c_533939,plain,
! [X_1503] : ( multiply(X_1503,identity) = X_1503 ),
inference(superposition,[status(thm),theory(equality)],[c_533932,c_533505]) ).
tff(c_534148,plain,
! [X_1508,Y_1509,Z_1510] : ( multiply(inverse(multiply(X_1508,Y_1509)),multiply(X_1508,multiply(Y_1509,Z_1510))) = Z_1510 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_533472]) ).
tff(c_534184,plain,
! [X_1508,X_1503] : ( multiply(inverse(multiply(X_1508,X_1503)),multiply(X_1508,identity)) = inverse(X_1503) ),
inference(superposition,[status(thm),theory(equality)],[c_533953,c_534148]) ).
tff(c_535392,plain,
! [X_1528,X_1529] : ( multiply(inverse(multiply(X_1528,X_1529)),X_1528) = inverse(X_1529) ),
inference(demodulation,[status(thm),theory(equality)],[c_533939,c_534184]) ).
tff(c_535503,plain,
! [Z_1470] : ( multiply(inverse(Z_1470),sk_c3) = inverse(multiply(sk_c3,Z_1470)) ),
inference(superposition,[status(thm),theory(equality)],[c_533709,c_535392]) ).
tff(c_533122,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_533047,c_533051,c_533041]) ).
tff(c_533058,plain,
multiply(identity,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_533051,c_532470]) ).
tff(c_533066,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_533058]) ).
tff(c_533073,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_533066,c_532987]) ).
tff(c_533128,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_533122,c_533122,c_533073]) ).
tff(c_533129,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_533122,c_533066]) ).
tff(c_532986,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( multiply(inverse(X5_6),sk_c7) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X2_10) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_532469]) ).
tff(c_533052,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_532986]) ).
tff(c_533136,plain,
! [X3_1492] :
( ( inverse(X3_1492) != sk_c9 )
| ( multiply(X3_1492,sk_c9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_533051,c_533052]) ).
tff(c_533149,plain,
inverse(inverse(sk_c9)) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_4,c_533136]) ).
tff(c_533375,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_533128,c_533128,c_533129,c_533129,c_533149]) ).
tff(c_533376,plain,
! [X4_11,X1_9,X2_10,X5_6] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X2_10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c7) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_532986]) ).
tff(c_533409,plain,
! [X4_11,X1_9,X2_10,X5_6] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != identity )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != identity )
| ( multiply(X2_10,identity) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(inverse(X5_6),sk_c7) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_533051,c_533051,c_533390,c_533390,c_533051,c_533390,c_533051,c_533390,c_533051,c_533376]) ).
tff(c_533410,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c7) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(splitLeft,[status(thm)],[c_533409]) ).
tff(c_538958,plain,
! [X5_1567] : ( inverse(multiply(sk_c3,X5_1567)) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_533953,c_535503,c_533559,c_533410]) ).
tff(c_538979,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_533953,c_538958]) ).
tff(c_538994,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_533888,c_538979]) ).
tff(c_538995,plain,
! [X2_10,X1_9,X4_11] :
( ( multiply(X2_10,identity) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != identity )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != identity ) ),
inference(splitRight,[status(thm)],[c_533409]) ).
tff(c_585080,plain,
! [X2_10,X1_9,X4_11] :
( ( sk_c3 != X2_10 )
| ( inverse(X2_10) != sk_c3 )
| ( inverse(X1_9) != sk_c3 )
| ( multiply(X1_9,sk_c3) != identity )
| ( inverse(X4_11) != sk_c3 )
| ( multiply(X4_11,sk_c3) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_539088,c_539088,c_539088,c_539088,c_539088,c_539497,c_539088,c_538995]) ).
tff(c_585082,plain,
! [X4_1811] :
( ( inverse(X4_1811) != sk_c3 )
| ( multiply(X4_1811,sk_c3) != identity ) ),
inference(splitLeft,[status(thm)],[c_585080]) ).
tff(c_585144,plain,
inverse(sk_c3) != sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_539152,c_585082]) ).
tff(c_585172,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_539094,c_585144]) ).
tff(c_585173,plain,
! [X1_9,X2_10] :
( ( inverse(X1_9) != sk_c3 )
| ( multiply(X1_9,sk_c3) != identity )
| ( sk_c3 != X2_10 )
| ( inverse(X2_10) != sk_c3 ) ),
inference(splitRight,[status(thm)],[c_585080]) ).
tff(c_585175,plain,
inverse(sk_c3) != sk_c3,
inference(splitLeft,[status(thm)],[c_585173]) ).
tff(c_585177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_585175,c_539094]) ).
tff(c_585885,plain,
! [X1_1814] :
( ( inverse(X1_1814) != sk_c3 )
| ( multiply(X1_1814,sk_c3) != identity ) ),
inference(splitRight,[status(thm)],[c_585173]) ).
tff(c_585947,plain,
inverse(sk_c3) != sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_539152,c_585885]) ).
tff(c_585975,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_539094,c_585947]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP354-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % 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
% 0.14/0.37 % Computer : n002.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Aug 3 22:35:46 EDT 2023
% 0.14/0.37 % CPUTime :
% 165.93/140.31 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 166.17/140.40
% 166.17/140.40 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 166.44/140.48
% 166.44/140.48 Inference rules
% 166.44/140.48 ----------------------
% 166.44/140.48 #Ref : 0
% 166.44/140.48 #Sup : 138135
% 166.44/140.48 #Fact : 0
% 166.44/140.48 #Define : 0
% 166.44/140.48 #Split : 35
% 166.44/140.48 #Chain : 0
% 166.44/140.48 #Close : 0
% 166.44/140.48
% 166.44/140.48 Ordering : KBO
% 166.44/140.48
% 166.44/140.48 Simplification rules
% 166.44/140.48 ----------------------
% 166.44/140.48 #Subsume : 15
% 166.44/140.48 #Demod : 686327
% 166.44/140.48 #Tautology : 113948
% 166.44/140.48 #SimpNegUnit : 88
% 166.44/140.48 #BackRed : 756
% 166.44/140.48
% 166.44/140.48 #Partial instantiations: 0
% 166.44/140.48 #Strategies tried : 1
% 166.44/140.48
% 166.44/140.48 Timing (in seconds)
% 166.44/140.48 ----------------------
% 166.44/140.49 Preprocessing : 0.55
% 166.44/140.49 Parsing : 0.21
% 166.44/140.49 CNF conversion : 0.03
% 166.44/140.49 Main loop : 138.70
% 166.44/140.49 Inferencing : 12.97
% 166.44/140.49 Reduction : 115.22
% 166.44/140.49 Demodulation : 113.05
% 166.44/140.49 BG Simplification : 0.87
% 166.44/140.49 Subsumption : 7.21
% 166.44/140.49 Abstraction : 3.84
% 166.44/140.49 MUC search : 0.00
% 166.44/140.49 Cooper : 0.00
% 166.44/140.49 Total : 139.45
% 166.44/140.49 Index Insertion : 0.00
% 166.44/140.49 Index Deletion : 0.00
% 166.44/140.49 Index Matching : 0.00
% 166.44/140.49 BG Taut test : 0.00
%------------------------------------------------------------------------------