TSTP Solution File: GRP329-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP329-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:57 EDT 2023
% Result : Unsatisfiable 36.37s 22.61s
% Output : CNFRefutation 36.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 51
% Syntax : Number of formulae : 679 ( 563 unt; 12 typ; 0 def)
% Number of atoms : 970 ( 934 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 630 ( 327 ~; 303 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 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 : 335 (; 335 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( multiply(sk_c8,sk_c9) != sk_c7 )
| ( multiply(X4,sk_c8) != sk_c9 )
| ( inverse(X4) != sk_c8 )
| ( multiply(sk_c9,X5) != sk_c8 )
| ( multiply(X6,sk_c9) != X5 )
| ( inverse(X6) != sk_c9 )
| ( inverse(sk_c8) != sk_c7 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X2,sk_c8) != sk_c9 )
| ( inverse(X2) != sk_c8 )
| ( multiply(X3,sk_c9) != sk_c7 )
| ( inverse(X3) != sk_c9 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_144779,plain,
! [X_782,Y_783,Z_784] : ( multiply(multiply(X_782,Y_783),Z_784) = multiply(X_782,multiply(Y_783,Z_784)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_144818,plain,
! [X_2,Z_784] : ( multiply(inverse(X_2),multiply(X_2,Z_784)) = multiply(identity,Z_784) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_144779]) ).
tff(c_146138,plain,
! [X_809,Z_810] : ( multiply(inverse(X_809),multiply(X_809,Z_810)) = Z_810 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_144818]) ).
tff(c_144831,plain,
! [X_2,Z_784] : ( multiply(inverse(X_2),multiply(X_2,Z_784)) = Z_784 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_144818]) ).
tff(c_146472,plain,
! [X_814,Z_815] : ( multiply(inverse(inverse(X_814)),Z_815) = multiply(X_814,Z_815) ),
inference(superposition,[status(thm),theory(equality)],[c_146138,c_144831]) ).
tff(c_146204,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_146138]) ).
tff(c_146479,plain,
! [X_814] : ( multiply(X_814,identity) = X_814 ),
inference(superposition,[status(thm),theory(equality)],[c_146472,c_146204]) ).
tff(c_135076,plain,
! [X_659,Y_660,Z_661] : ( multiply(multiply(X_659,Y_660),Z_661) = multiply(X_659,multiply(Y_660,Z_661)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_135115,plain,
! [X_2,Z_661] : ( multiply(inverse(X_2),multiply(X_2,Z_661)) = multiply(identity,Z_661) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_135076]) ).
tff(c_135128,plain,
! [X_2,Z_661] : ( multiply(inverse(X_2),multiply(X_2,Z_661)) = Z_661 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135115]) ).
tff(c_136423,plain,
! [X_688,Z_689] : ( multiply(inverse(X_688),multiply(X_688,Z_689)) = Z_689 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135115]) ).
tff(c_136634,plain,
! [X_691,Z_692] : ( multiply(inverse(inverse(X_691)),Z_692) = multiply(X_691,Z_692) ),
inference(superposition,[status(thm),theory(equality)],[c_135128,c_136423]) ).
tff(c_136474,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_136423]) ).
tff(c_136641,plain,
! [X_691] : ( multiply(X_691,identity) = X_691 ),
inference(superposition,[status(thm),theory(equality)],[c_136634,c_136474]) ).
tff(c_34,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_139,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_36,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_122,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_126,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_122,c_4]) ).
tff(c_120685,plain,
! [X_450,Y_451,Z_452] : ( multiply(multiply(X_450,Y_451),Z_452) = multiply(X_450,multiply(Y_451,Z_452)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_120730,plain,
! [Z_452] : ( multiply(sk_c8,multiply(sk_c1,Z_452)) = multiply(identity,Z_452) ),
inference(superposition,[status(thm),theory(equality)],[c_126,c_120685]) ).
tff(c_120752,plain,
! [Z_453] : ( multiply(sk_c8,multiply(sk_c1,Z_453)) = Z_453 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_120730]) ).
tff(c_120764,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_139,c_120752]) ).
tff(c_189,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_222,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_189]) ).
tff(c_311,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_222]) ).
tff(c_232,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_222]) ).
tff(c_566,plain,
! [X_22,Z_23] : ( multiply(inverse(inverse(X_22)),Z_23) = multiply(X_22,Z_23) ),
inference(superposition,[status(thm),theory(equality)],[c_311,c_232]) ).
tff(c_353,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_311]) ).
tff(c_573,plain,
! [X_22] : ( multiply(X_22,identity) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_566,c_353]) ).
tff(c_20,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_161,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_216,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_126,c_189]) ).
tff(c_234,plain,
! [Z_17] : ( multiply(sk_c8,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_216]) ).
tff(c_246,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_139,c_234]) ).
tff(c_250,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_161,c_246]) ).
tff(c_252,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_161]) ).
tff(c_332,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_252,c_311]) ).
tff(c_361,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_332]) ).
tff(c_78,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_109,plain,
inverse(sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_76,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_144,plain,
multiply(sk_c2,sk_c9) = sk_c3,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_344,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_144,c_311]) ).
tff(c_362,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_109,c_344]) ).
tff(c_382,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_361,c_2,c_361,c_362]) ).
tff(c_62,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_149,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_253,plain,
multiply(sk_c9,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_149]) ).
tff(c_401,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_2,c_361,c_253]) ).
tff(c_113,plain,
multiply(sk_c9,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).
tff(c_366,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_361,c_113]) ).
tff(c_460,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_366,c_232]) ).
tff(c_472,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_460]) ).
tff(c_367,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_361,c_109]) ).
tff(c_477,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_472,c_367]) ).
tff(c_92,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_261,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c9 )
| ( multiply(sk_c7,sk_c9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_250,c_250,c_250,c_250,c_250,c_250,c_250,c_250,c_250,c_92]) ).
tff(c_262,plain,
multiply(sk_c7,sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_261]) ).
tff(c_279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_252]) ).
tff(c_280,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_261]) ).
tff(c_7758,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_573,c_401,c_361,c_361,c_573,c_401,c_361,c_401,c_573,c_401,c_401,c_401,c_573,c_401,c_361,c_2,c_361,c_361,c_573,c_401,c_361,c_401,c_477,c_401,c_401,c_280]) ).
tff(c_7760,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_7758]) ).
tff(c_7762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7760,c_477]) ).
tff(c_7763,plain,
! [X2_10,X1_9,X6_7,X4_11] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(splitRight,[status(thm)],[c_7758]) ).
tff(c_120586,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_7763]) ).
tff(c_120588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120586,c_477]) ).
tff(c_120589,plain,
! [X6_7,X1_9,X2_10] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_7763]) ).
tff(c_120591,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_120589]) ).
tff(c_120593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120591,c_477]) ).
tff(c_120594,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_120589]) ).
tff(c_120597,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_120594]) ).
tff(c_120599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120597,c_477]) ).
tff(c_120601,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_120594]) ).
tff(c_120603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120601,c_477]) ).
tff(c_120605,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_120768,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_120764,c_120605]) ).
tff(c_12,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_120644,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_120605,c_12]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_120678,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_120605,c_10]) ).
tff(c_120736,plain,
! [X_2,Z_452] : ( multiply(inverse(X_2),multiply(X_2,Z_452)) = multiply(identity,Z_452) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_120685]) ).
tff(c_120854,plain,
! [X_456,Z_457] : ( multiply(inverse(X_456),multiply(X_456,Z_457)) = Z_457 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_120736]) ).
tff(c_120890,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_120678,c_120854]) ).
tff(c_120927,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_120644,c_120890]) ).
tff(c_120750,plain,
! [X_2,Z_452] : ( multiply(inverse(X_2),multiply(X_2,Z_452)) = Z_452 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_120736]) ).
tff(c_120987,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_120927,c_120750]) ).
tff(c_120993,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_120987]) ).
tff(c_8,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_120632,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_120605,c_8]) ).
tff(c_120777,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 )
| ( sk_c8 != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120764,c_120632,c_92]) ).
tff(c_120778,plain,
sk_c8 != sk_c7,
inference(splitLeft,[status(thm)],[c_120777]) ).
tff(c_120997,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_120993,c_120778]) ).
tff(c_120911,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_126,c_120854]) ).
tff(c_120930,plain,
multiply(sk_c7,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_120632,c_120911]) ).
tff(c_120996,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_120993,c_120930]) ).
tff(c_121000,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_120996]) ).
tff(c_120648,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_120644,c_4]) ).
tff(c_120893,plain,
multiply(inverse(sk_c8),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_120648,c_120854]) ).
tff(c_120928,plain,
multiply(sk_c7,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_120632,c_120893]) ).
tff(c_120958,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_120930,c_120928]) ).
tff(c_120971,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_120958,c_120678]) ).
tff(c_121090,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_121000,c_120993,c_120971]) ).
tff(c_121091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120997,c_121090]) ).
tff(c_121093,plain,
sk_c8 = sk_c7,
inference(splitRight,[status(thm)],[c_120777]) ).
tff(c_121207,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120768,c_121093]) ).
tff(c_121209,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_50,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_121229,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_121209,c_50]) ).
tff(c_121233,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_121229,c_4]) ).
tff(c_122020,plain,
! [X_472,Y_473,Z_474] : ( multiply(multiply(X_472,Y_473),Z_474) = multiply(X_472,multiply(Y_473,Z_474)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_122062,plain,
! [Z_474] : ( multiply(sk_c8,multiply(sk_c1,Z_474)) = multiply(identity,Z_474) ),
inference(superposition,[status(thm),theory(equality)],[c_126,c_122020]) ).
tff(c_122084,plain,
! [Z_475] : ( multiply(sk_c8,multiply(sk_c1,Z_475)) = Z_475 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_122062]) ).
tff(c_122096,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_139,c_122084]) ).
tff(c_122068,plain,
! [X_2,Z_474] : ( multiply(inverse(X_2),multiply(X_2,Z_474)) = multiply(identity,Z_474) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_122020]) ).
tff(c_122135,plain,
! [X_477,Z_478] : ( multiply(inverse(X_477),multiply(X_477,Z_478)) = Z_478 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_122068]) ).
tff(c_122159,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_122096,c_122135]) ).
tff(c_122227,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_121233,c_121229,c_122159]) ).
tff(c_122065,plain,
! [Z_474] : ( multiply(sk_c9,multiply(sk_c2,Z_474)) = multiply(identity,Z_474) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_122020]) ).
tff(c_122111,plain,
! [Z_476] : ( multiply(sk_c9,multiply(sk_c2,Z_476)) = Z_476 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_122065]) ).
tff(c_122123,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_144,c_122111]) ).
tff(c_122127,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_122123,c_121209]) ).
tff(c_122245,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_122227,c_122127]) ).
tff(c_122254,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_122227,c_109]) ).
tff(c_122301,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_122254,c_4]) ).
tff(c_122082,plain,
! [X_2,Z_474] : ( multiply(inverse(X_2),multiply(X_2,Z_474)) = Z_474 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_122068]) ).
tff(c_122390,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_122301,c_122082]) ).
tff(c_122402,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_122390]) ).
tff(c_122411,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_122402,c_122254]) ).
tff(c_121208,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_60,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_121996,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_121209,c_60]) ).
tff(c_122174,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_121996,c_122135]) ).
tff(c_122231,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_121208,c_122174]) ).
tff(c_122363,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_122227,c_2,c_122227,c_122231]) ).
tff(c_122207,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_126,c_122135]) ).
tff(c_122236,plain,
multiply(sk_c7,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_121229,c_122207]) ).
tff(c_122364,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_122363,c_122236]) ).
tff(c_122368,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_122364]) ).
tff(c_122377,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_122368,c_122]) ).
tff(c_122460,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_122411,c_122377]) ).
tff(c_122462,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122245,c_122460]) ).
tff(c_122464,plain,
multiply(sk_c2,sk_c9) != sk_c3,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_66,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_131548,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_122464,c_66]) ).
tff(c_68,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_131027,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_122464,c_68]) ).
tff(c_131031,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_131027,c_4]) ).
tff(c_131577,plain,
! [X_597,Y_598,Z_599] : ( multiply(multiply(X_597,Y_598),Z_599) = multiply(X_597,multiply(Y_598,Z_599)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_131604,plain,
! [Z_599] : ( multiply(sk_c8,multiply(sk_c4,Z_599)) = multiply(identity,Z_599) ),
inference(superposition,[status(thm),theory(equality)],[c_131031,c_131577]) ).
tff(c_131724,plain,
! [Z_603] : ( multiply(sk_c8,multiply(sk_c4,Z_603)) = Z_603 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131604]) ).
tff(c_131739,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_131548,c_131724]) ).
tff(c_131622,plain,
! [X_2,Z_599] : ( multiply(inverse(X_2),multiply(X_2,Z_599)) = multiply(identity,Z_599) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_131577]) ).
tff(c_131761,plain,
! [X_604,Z_605] : ( multiply(inverse(X_604),multiply(X_604,Z_605)) = Z_605 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131622]) ).
tff(c_131782,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_131739,c_131761]) ).
tff(c_131865,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_131782]) ).
tff(c_131616,plain,
! [Z_599] : ( multiply(sk_c8,multiply(sk_c1,Z_599)) = multiply(identity,Z_599) ),
inference(superposition,[status(thm),theory(equality)],[c_126,c_131577]) ).
tff(c_131638,plain,
! [Z_600] : ( multiply(sk_c8,multiply(sk_c1,Z_600)) = Z_600 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131616]) ).
tff(c_131650,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_139,c_131638]) ).
tff(c_123199,plain,
! [X_493,Y_494,Z_495] : ( multiply(multiply(X_493,Y_494),Z_495) = multiply(X_493,multiply(Y_494,Z_495)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_123247,plain,
! [X_2,Z_495] : ( multiply(inverse(X_2),multiply(X_2,Z_495)) = multiply(identity,Z_495) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_123199]) ).
tff(c_123362,plain,
! [X_497,Z_498] : ( multiply(inverse(X_497),multiply(X_497,Z_498)) = Z_498 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_123247]) ).
tff(c_123261,plain,
! [X_2,Z_495] : ( multiply(inverse(X_2),multiply(X_2,Z_495)) = Z_495 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_123247]) ).
tff(c_123672,plain,
! [X_500,Z_501] : ( multiply(inverse(inverse(X_500)),Z_501) = multiply(X_500,Z_501) ),
inference(superposition,[status(thm),theory(equality)],[c_123362,c_123261]) ).
tff(c_123413,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_123362]) ).
tff(c_123679,plain,
! [X_500] : ( multiply(X_500,identity) = X_500 ),
inference(superposition,[status(thm),theory(equality)],[c_123672,c_123413]) ).
tff(c_122463,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_122472,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_122561,plain,
! [X_482,Y_483,Z_484] : ( multiply(multiply(X_482,Y_483),Z_484) = multiply(X_482,multiply(Y_483,Z_484)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_122606,plain,
! [Z_484] : ( multiply(sk_c8,multiply(sk_c1,Z_484)) = multiply(identity,Z_484) ),
inference(superposition,[status(thm),theory(equality)],[c_126,c_122561]) ).
tff(c_122757,plain,
! [Z_489] : ( multiply(sk_c8,multiply(sk_c1,Z_489)) = Z_489 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_122606]) ).
tff(c_122769,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_139,c_122757]) ).
tff(c_122773,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_122472,c_122769]) ).
tff(c_122784,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_122773,c_122472]) ).
tff(c_122612,plain,
! [X_2,Z_484] : ( multiply(inverse(X_2),multiply(X_2,Z_484)) = multiply(identity,Z_484) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_122561]) ).
tff(c_122860,plain,
! [X_490,Z_491] : ( multiply(inverse(X_490),multiply(X_490,Z_491)) = Z_491 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_122612]) ).
tff(c_122887,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_122784,c_122860]) ).
tff(c_122936,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_122887]) ).
tff(c_122947,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_122936,c_113]) ).
tff(c_122626,plain,
! [X_2,Z_484] : ( multiply(inverse(X_2),multiply(X_2,Z_484)) = Z_484 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_122612]) ).
tff(c_123124,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_122947,c_122626]) ).
tff(c_123136,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_123124]) ).
tff(c_64,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_122525,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_122464,c_64]) ).
tff(c_122529,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_122525,c_4]) ).
tff(c_122777,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_122773,c_122529]) ).
tff(c_122493,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_122464,c_68]) ).
tff(c_122781,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_122773,c_122493]) ).
tff(c_122544,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_122464,c_66]) ).
tff(c_122776,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_122773,c_122544]) ).
tff(c_122881,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_122776,c_122860]) ).
tff(c_122934,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_122777,c_122781,c_122881]) ).
tff(c_122510,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_122779,plain,
multiply(sk_c9,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_122773,c_122510]) ).
tff(c_123065,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_122934,c_2,c_122936,c_122779]) ).
tff(c_122945,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_122936,c_122464]) ).
tff(c_123103,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_123065,c_122945]) ).
tff(c_123140,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_123136,c_123103]) ).
tff(c_123145,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_123140]) ).
tff(c_123147,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_123172,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_123147,c_60]) ).
tff(c_123398,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_123172,c_123362]) ).
tff(c_123421,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_122463,c_123398]) ).
tff(c_123425,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_123421,c_123261]) ).
tff(c_123431,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_123425]) ).
tff(c_123241,plain,
! [Z_495] : ( multiply(sk_c8,multiply(sk_c1,Z_495)) = multiply(identity,Z_495) ),
inference(superposition,[status(thm),theory(equality)],[c_126,c_123199]) ).
tff(c_123263,plain,
! [Z_496] : ( multiply(sk_c8,multiply(sk_c1,Z_496)) = Z_496 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_123241]) ).
tff(c_123275,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_139,c_123263]) ).
tff(c_123279,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_122472,c_123275]) ).
tff(c_123312,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c9 )
| ( multiply(sk_c7,sk_c9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123279,c_123279,c_123279,c_123279,c_123279,c_123279,c_123279,c_123279,c_123279,c_92]) ).
tff(c_123313,plain,
multiply(sk_c7,sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_123312]) ).
tff(c_123290,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_123279,c_122472]) ).
tff(c_123337,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123313,c_123290]) ).
tff(c_123339,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_123312]) ).
tff(c_123487,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_123431,c_2,c_123431,c_123339]) ).
tff(c_123146,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_123285,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_123279,c_123146]) ).
tff(c_123436,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_123431,c_123431,c_123285]) ).
tff(c_123338,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_123312]) ).
tff(c_129828,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123679,c_123487,c_123431,c_123487,c_123679,c_123487,c_123431,c_123431,c_123679,c_123431,c_123431,c_123431,c_123679,c_123487,c_2,c_123487,c_123431,c_123487,c_123679,c_123487,c_123431,c_123431,c_123436,c_123431,c_123431,c_123338]) ).
tff(c_129830,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_129828]) ).
tff(c_129832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129830,c_123436]) ).
tff(c_129833,plain,
! [X2_10,X1_9,X6_7,X4_11] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(splitRight,[status(thm)],[c_129828]) ).
tff(c_130228,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_129833]) ).
tff(c_130230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130228,c_123436]) ).
tff(c_130231,plain,
! [X6_7,X1_9,X2_10] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_129833]) ).
tff(c_130995,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_130231]) ).
tff(c_130997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130995,c_123436]) ).
tff(c_130998,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_130231]) ).
tff(c_131000,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_130998]) ).
tff(c_131002,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131000,c_123436]) ).
tff(c_131005,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_130998]) ).
tff(c_131007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131005,c_123436]) ).
tff(c_131009,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_131656,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_131650,c_131009]) ).
tff(c_131905,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_131865,c_131656]) ).
tff(c_131052,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_131009,c_8]) ).
tff(c_131056,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_131052,c_4]) ).
tff(c_131101,plain,
! [X_587,Y_588,Z_589] : ( multiply(multiply(X_587,Y_588),Z_589) = multiply(X_587,multiply(Y_588,Z_589)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_131143,plain,
! [Z_589] : ( multiply(sk_c8,multiply(sk_c1,Z_589)) = multiply(identity,Z_589) ),
inference(superposition,[status(thm),theory(equality)],[c_126,c_131101]) ).
tff(c_131165,plain,
! [Z_590] : ( multiply(sk_c8,multiply(sk_c1,Z_590)) = Z_590 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131143]) ).
tff(c_131177,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_139,c_131165]) ).
tff(c_131125,plain,
! [Z_589] : ( multiply(sk_c7,multiply(sk_c8,Z_589)) = multiply(identity,Z_589) ),
inference(superposition,[status(thm),theory(equality)],[c_131056,c_131101]) ).
tff(c_131204,plain,
! [Z_592] : ( multiply(sk_c7,multiply(sk_c8,Z_592)) = Z_592 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131125]) ).
tff(c_131216,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_131177,c_131204]) ).
tff(c_131232,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131056,c_131216]) ).
tff(c_131243,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131232,c_109]) ).
tff(c_131269,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_131243,c_4]) ).
tff(c_131149,plain,
! [X_2,Z_589] : ( multiply(inverse(X_2),multiply(X_2,Z_589)) = multiply(identity,Z_589) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_131101]) ).
tff(c_131163,plain,
! [X_2,Z_589] : ( multiply(inverse(X_2),multiply(X_2,Z_589)) = Z_589 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131149]) ).
tff(c_131462,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_131269,c_131163]) ).
tff(c_131474,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_131462]) ).
tff(c_131239,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_131232,c_122464]) ).
tff(c_131491,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131474,c_131239]) ).
tff(c_131240,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131232,c_122463]) ).
tff(c_131276,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_131240,c_4]) ).
tff(c_131368,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_131276,c_131163]) ).
tff(c_131380,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_131368]) ).
tff(c_131384,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131380,c_131240]) ).
tff(c_131044,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_131237,plain,
multiply(identity,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_131232,c_131044]) ).
tff(c_131244,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131237]) ).
tff(c_131140,plain,
! [Z_589] : ( multiply(sk_c1,multiply(sk_c8,Z_589)) = multiply(sk_c9,Z_589) ),
inference(superposition,[status(thm),theory(equality)],[c_139,c_131101]) ).
tff(c_131416,plain,
! [Z_589] : ( multiply(sk_c1,multiply(sk_c3,Z_589)) = Z_589 ),
inference(demodulation,[status(thm),theory(equality)],[c_131244,c_2,c_131232,c_131140]) ).
tff(c_131228,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_126,c_131204]) ).
tff(c_131222,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_131031,c_131204]) ).
tff(c_131440,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_131228,c_131222]) ).
tff(c_131079,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_131009,c_10]) ).
tff(c_131119,plain,
! [Z_589] : ( multiply(sk_c4,multiply(sk_c8,Z_589)) = multiply(sk_c7,Z_589) ),
inference(superposition,[status(thm),theory(equality)],[c_131079,c_131101]) ).
tff(c_131492,plain,
! [Z_589] : ( multiply(sk_c7,Z_589) = Z_589 ),
inference(demodulation,[status(thm),theory(equality)],[c_131416,c_131440,c_131244,c_131119]) ).
tff(c_131493,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131492,c_131228]) ).
tff(c_131260,plain,
inverse(sk_c1) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_131244,c_122]) ).
tff(c_131513,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_131493,c_131260]) ).
tff(c_131514,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131384,c_131513]) ).
tff(c_131516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131491,c_131514]) ).
tff(c_131517,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_131908,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131865,c_131517]) ).
tff(c_131967,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_131908,c_4]) ).
tff(c_131636,plain,
! [X_2,Z_599] : ( multiply(inverse(X_2),multiply(X_2,Z_599)) = Z_599 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131622]) ).
tff(c_132021,plain,
multiply(inverse(identity),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_131967,c_131636]) ).
tff(c_132033,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_132021]) ).
tff(c_132035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131905,c_132033]) ).
tff(c_132037,plain,
multiply(sk_c1,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_22,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_133132,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_132037,c_22]) ).
tff(c_133136,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133132,c_4]) ).
tff(c_133175,plain,
! [X_624,Y_625,Z_626] : ( multiply(multiply(X_624,Y_625),Z_626) = multiply(X_624,multiply(Y_625,Z_626)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_133199,plain,
! [Z_626] : ( multiply(sk_c7,multiply(sk_c8,Z_626)) = multiply(identity,Z_626) ),
inference(superposition,[status(thm),theory(equality)],[c_133136,c_133175]) ).
tff(c_133276,plain,
! [Z_629] : ( multiply(sk_c7,multiply(sk_c8,Z_629)) = Z_629 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133199]) ).
tff(c_133297,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_126,c_133276]) ).
tff(c_58,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_132054,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_132049,plain,
multiply(sk_c2,sk_c9) = sk_c3,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_132826,plain,
! [X_617,Y_618,Z_619] : ( multiply(multiply(X_617,Y_618),Z_619) = multiply(X_617,multiply(Y_618,Z_619)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_132871,plain,
! [Z_619] : ( multiply(sk_c9,multiply(sk_c2,Z_619)) = multiply(identity,Z_619) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_132826]) ).
tff(c_132903,plain,
! [Z_621] : ( multiply(sk_c9,multiply(sk_c2,Z_621)) = Z_621 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132871]) ).
tff(c_132915,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_132049,c_132903]) ).
tff(c_132919,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_132054,c_132915]) ).
tff(c_132929,plain,
multiply(sk_c1,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_132919,c_132037]) ).
tff(c_132060,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_132037,c_22]) ).
tff(c_132874,plain,
! [X_2,Z_619] : ( multiply(inverse(X_2),multiply(X_2,Z_619)) = multiply(identity,Z_619) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_132826]) ).
tff(c_132981,plain,
! [X_622,Z_623] : ( multiply(inverse(X_622),multiply(X_622,Z_623)) = Z_623 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132874]) ).
tff(c_133044,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_126,c_132981]) ).
tff(c_133065,plain,
multiply(sk_c7,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_132060,c_133044]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_132090,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_132037,c_30]) ).
tff(c_132094,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_132090,c_4]) ).
tff(c_133026,plain,
multiply(inverse(sk_c8),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_132094,c_132981]) ).
tff(c_133063,plain,
multiply(sk_c7,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_132060,c_133026]) ).
tff(c_133084,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_133065,c_133063]) ).
tff(c_132139,plain,
! [X_608,Y_609,Z_610] : ( multiply(multiply(X_608,Y_609),Z_610) = multiply(X_608,multiply(Y_609,Z_610)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_132187,plain,
! [Z_610] : ( multiply(sk_c9,multiply(sk_c2,Z_610)) = multiply(identity,Z_610) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_132139]) ).
tff(c_132219,plain,
! [Z_612] : ( multiply(sk_c9,multiply(sk_c2,Z_612)) = Z_612 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132187]) ).
tff(c_132231,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_132049,c_132219]) ).
tff(c_132235,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_132054,c_132231]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_132113,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_132349,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_132235,c_132113]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_132127,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_132037,c_28]) ).
tff(c_132347,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_132235,c_132127]) ).
tff(c_132190,plain,
! [X_2,Z_610] : ( multiply(inverse(X_2),multiply(X_2,Z_610)) = multiply(identity,Z_610) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_132139]) ).
tff(c_132430,plain,
! [X_614,Z_615] : ( multiply(inverse(X_614),multiply(X_614,Z_615)) = Z_615 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132190]) ).
tff(c_132454,plain,
multiply(inverse(sk_c5),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_132347,c_132430]) ).
tff(c_132517,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_132349,c_132090,c_132454]) ).
tff(c_26,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_132074,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_132037,c_26]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_132132,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_132037,c_24]) ).
tff(c_132481,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_132132,c_132430]) ).
tff(c_132523,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_132074,c_132481]) ).
tff(c_132658,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_132517,c_132517,c_132523]) ).
tff(c_132204,plain,
! [X_2,Z_610] : ( multiply(inverse(X_2),multiply(X_2,Z_610)) = Z_610 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132190]) ).
tff(c_132662,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_132658,c_132204]) ).
tff(c_132668,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_132662]) ).
tff(c_132502,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_126,c_132430]) ).
tff(c_132526,plain,
multiply(sk_c7,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_132060,c_132502]) ).
tff(c_132761,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132668,c_132526]) ).
tff(c_132353,plain,
multiply(sk_c1,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_132235,c_132037]) ).
tff(c_132537,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_132517,c_132517,c_132353]) ).
tff(c_132799,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132761,c_132668,c_132668,c_132537]) ).
tff(c_132801,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_14,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_132813,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_132801,c_14]) ).
tff(c_132923,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_132919,c_132813]) ).
tff(c_133085,plain,
multiply(sk_c1,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_133084,c_132923]) ).
tff(c_133089,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132929,c_133085]) ).
tff(c_133090,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_133096,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133090,c_4]) ).
tff(c_133220,plain,
! [X_2,Z_626] : ( multiply(inverse(X_2),multiply(X_2,Z_626)) = multiply(identity,Z_626) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_133175]) ).
tff(c_133318,plain,
! [X_630,Z_631] : ( multiply(inverse(X_630),multiply(X_630,Z_631)) = Z_631 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133220]) ).
tff(c_133375,plain,
multiply(inverse(sk_c8),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_133096,c_133318]) ).
tff(c_133416,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_133297,c_133132,c_133375]) ).
tff(c_133091,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_133164,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_133091,c_56]) ).
tff(c_133431,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_133416,c_133164]) ).
tff(c_133435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132037,c_133431]) ).
tff(c_133437,plain,
multiply(sk_c2,sk_c9) != sk_c3,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_74,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_134400,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_133437,c_74]) ).
tff(c_132036,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_132041,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_132036,c_4]) ).
tff(c_134417,plain,
! [X_647,Y_648,Z_649] : ( multiply(multiply(X_647,Y_648),Z_649) = multiply(X_647,multiply(Y_648,Z_649)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_134450,plain,
! [Z_649] : ( multiply(sk_c9,multiply(sk_c6,Z_649)) = multiply(identity,Z_649) ),
inference(superposition,[status(thm),theory(equality)],[c_132041,c_134417]) ).
tff(c_134504,plain,
! [Z_652] : ( multiply(sk_c9,multiply(sk_c6,Z_652)) = Z_652 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134450]) ).
tff(c_134516,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_134400,c_134504]) ).
tff(c_134459,plain,
! [X_2,Z_649] : ( multiply(inverse(X_2),multiply(X_2,Z_649)) = multiply(identity,Z_649) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_134417]) ).
tff(c_134560,plain,
! [X_654,Z_655] : ( multiply(inverse(X_654),multiply(X_654,Z_655)) = Z_655 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134459]) ).
tff(c_134584,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_134516,c_134560]) ).
tff(c_134651,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_134584]) ).
tff(c_133510,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_132037,c_28]) ).
tff(c_133438,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_132037,c_30]) ).
tff(c_133442,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133438,c_4]) ).
tff(c_133526,plain,
! [X_632,Y_633,Z_634] : ( multiply(multiply(X_632,Y_633),Z_634) = multiply(X_632,multiply(Y_633,Z_634)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_133559,plain,
! [Z_634] : ( multiply(sk_c8,multiply(sk_c5,Z_634)) = multiply(identity,Z_634) ),
inference(superposition,[status(thm),theory(equality)],[c_133442,c_133526]) ).
tff(c_133616,plain,
! [Z_637] : ( multiply(sk_c8,multiply(sk_c5,Z_637)) = Z_637 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133559]) ).
tff(c_133628,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_133510,c_133616]) ).
tff(c_133571,plain,
! [X_2,Z_634] : ( multiply(inverse(X_2),multiply(X_2,Z_634)) = multiply(identity,Z_634) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_133526]) ).
tff(c_133640,plain,
! [X_638,Z_639] : ( multiply(inverse(X_638),multiply(X_638,Z_639)) = Z_639 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133571]) ).
tff(c_133658,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_133628,c_133640]) ).
tff(c_133728,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_133658]) ).
tff(c_32,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_133504,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_132037,c_32]) ).
tff(c_133676,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_133504,c_133640]) ).
tff(c_133732,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_132036,c_133676]) ).
tff(c_133880,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_133728,c_2,c_133728,c_133732]) ).
tff(c_133468,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_133744,plain,
multiply(identity,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_133728,c_133468]) ).
tff(c_133751,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133744]) ).
tff(c_133473,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_132037,c_22]) ).
tff(c_133601,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_133473,c_92]) ).
tff(c_133602,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_133601]) ).
tff(c_133632,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_133628,c_133602]) ).
tff(c_133756,plain,
sk_c7 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_133751,c_133632]) ).
tff(c_133883,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_133880,c_133756]) ).
tff(c_133748,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_133728,c_132036]) ).
tff(c_133824,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133748,c_4]) ).
tff(c_133585,plain,
! [X_2,Z_634] : ( multiply(inverse(X_2),multiply(X_2,Z_634)) = Z_634 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133571]) ).
tff(c_133892,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_133824,c_133585]) ).
tff(c_133904,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_133892]) ).
tff(c_133913,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_133904,c_133748]) ).
tff(c_133709,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_126,c_133640]) ).
tff(c_133737,plain,
multiply(sk_c7,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_133473,c_133709]) ).
tff(c_133881,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_133880,c_133737]) ).
tff(c_133884,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133881]) ).
tff(c_133767,plain,
inverse(sk_c1) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_133751,c_122]) ).
tff(c_133907,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_133884,c_133767]) ).
tff(c_133944,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_133913,c_133907]) ).
tff(c_133946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133883,c_133944]) ).
tff(c_133948,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_133601]) ).
tff(c_133982,plain,
! [Z_643] : ( multiply(sk_c8,multiply(sk_c5,Z_643)) = Z_643 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133559]) ).
tff(c_133994,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_133510,c_133982]) ).
tff(c_133998,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_133948,c_133994]) ).
tff(c_133477,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133473,c_4]) ).
tff(c_134005,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_133998,c_133477]) ).
tff(c_133436,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_134010,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_133998,c_133436]) ).
tff(c_133499,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_133437,c_66]) ).
tff(c_134004,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_133998,c_133499]) ).
tff(c_134087,plain,
! [X_644,Z_645] : ( multiply(inverse(X_644),multiply(X_644,Z_645)) = Z_645 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133571]) ).
tff(c_134108,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_134004,c_134087]) ).
tff(c_134161,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_134005,c_134010,c_134108]) ).
tff(c_134000,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_133998,c_133948]) ).
tff(c_134277,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_134161,c_2,c_134161,c_134000]) ).
tff(c_134284,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_134277,c_113]) ).
tff(c_134328,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_134284,c_133585]) ).
tff(c_134340,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_134328]) ).
tff(c_134007,plain,
multiply(sk_c9,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_133998,c_133468]) ).
tff(c_134319,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134277,c_134161,c_134007]) ).
tff(c_134281,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_134277,c_133437]) ).
tff(c_134355,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134340,c_134319,c_134281]) ).
tff(c_134356,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_134361,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_134356,c_4]) ).
tff(c_134441,plain,
! [Z_649] : ( multiply(sk_c7,multiply(sk_c8,Z_649)) = multiply(identity,Z_649) ),
inference(superposition,[status(thm),theory(equality)],[c_134361,c_134417]) ).
tff(c_134527,plain,
! [Z_653] : ( multiply(sk_c7,multiply(sk_c8,Z_653)) = Z_653 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134441]) ).
tff(c_134548,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_126,c_134527]) ).
tff(c_134890,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134651,c_134548]) ).
tff(c_134743,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_134651,c_134356]) ).
tff(c_134798,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_134743,c_4]) ).
tff(c_134473,plain,
! [X_2,Z_649] : ( multiply(inverse(X_2),multiply(X_2,Z_649)) = Z_649 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134459]) ).
tff(c_134819,plain,
multiply(inverse(identity),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_134798,c_134473]) ).
tff(c_134831,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_134819]) ).
tff(c_134387,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_132037,c_24]) ).
tff(c_133449,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133436,c_4]) ).
tff(c_134542,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_133449,c_134527]) ).
tff(c_134617,plain,
multiply(inverse(sk_c8),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_133442,c_134560]) ).
tff(c_134658,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_134542,c_134356,c_134617]) ).
tff(c_134357,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_134393,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_134357,c_56]) ).
tff(c_134663,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_134658,c_134393]) ).
tff(c_134666,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_134387,c_134663]) ).
tff(c_134692,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_134666,c_132037]) ).
tff(c_134978,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134890,c_134831,c_134651,c_134692]) ).
tff(c_134980,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_38,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_135045,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_134980,c_38]) ).
tff(c_40,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_135005,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_134980,c_40]) ).
tff(c_135009,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_135005,c_4]) ).
tff(c_134979,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_134984,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_134979,c_4]) ).
tff(c_135109,plain,
! [Z_661] : ( multiply(sk_c7,multiply(sk_c8,Z_661)) = multiply(identity,Z_661) ),
inference(superposition,[status(thm),theory(equality)],[c_134984,c_135076]) ).
tff(c_135454,plain,
! [Z_668] : ( multiply(sk_c7,multiply(sk_c8,Z_668)) = Z_668 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135109]) ).
tff(c_135469,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_135009,c_135454]) ).
tff(c_44,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_134993,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_134980,c_44]) ).
tff(c_134997,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_134993,c_4]) ).
tff(c_135472,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_134997,c_135454]) ).
tff(c_135642,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_135469,c_135472]) ).
tff(c_42,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_135030,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_134980,c_42]) ).
tff(c_135644,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_135642,c_135030]) ).
tff(c_135647,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135045,c_135644]) ).
tff(c_135250,plain,
! [X_665,Z_666] : ( multiply(inverse(X_665),multiply(X_665,Z_666)) = Z_666 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135115]) ).
tff(c_135283,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_135045,c_135250]) ).
tff(c_135305,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_135005,c_135283]) ).
tff(c_135311,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_135305,c_135128]) ).
tff(c_135320,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_135311]) ).
tff(c_135156,plain,
! [Z_663] : ( multiply(sk_c7,multiply(sk_c8,Z_663)) = Z_663 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135109]) ).
tff(c_135168,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_135009,c_135156]) ).
tff(c_135171,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_134997,c_135156]) ).
tff(c_135212,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_135168,c_135171]) ).
tff(c_135213,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_135212,c_135030]) ).
tff(c_135216,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135045,c_135213]) ).
tff(c_135231,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135216,c_109]) ).
tff(c_135246,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_135231,c_4]) ).
tff(c_135338,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135320,c_135246]) ).
tff(c_135324,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_135320,c_135231]) ).
tff(c_135358,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_135338,c_135324]) ).
tff(c_135327,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_135320,c_135168]) ).
tff(c_135332,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135327]) ).
tff(c_135349,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_135332,c_135005]) ).
tff(c_135409,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_135358,c_135349]) ).
tff(c_135147,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134979,c_92]) ).
tff(c_135148,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_135147]) ).
tff(c_135225,plain,
multiply(sk_c8,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135216,c_135148]) ).
tff(c_135437,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135409,c_135320,c_135320,c_135225]) ).
tff(c_135439,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_135147]) ).
tff(c_135466,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_135439,c_135454]) ).
tff(c_135654,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135647,c_135466]) ).
tff(c_136441,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_135654,c_136423]) ).
tff(c_136481,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_136441]) ).
tff(c_136489,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_136481,c_135469]) ).
tff(c_136495,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136489]) ).
tff(c_136506,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_136495,c_135005]) ).
tff(c_48,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_135013,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_134980,c_48]) ).
tff(c_135660,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135647,c_135013]) ).
tff(c_135670,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_135660,c_4]) ).
tff(c_136511,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136481,c_135670]) ).
tff(c_136487,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_136481,c_135660]) ).
tff(c_136551,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_136506,c_136511,c_136487]) ).
tff(c_135761,plain,
! [X_673,Z_674] : ( multiply(inverse(X_673),multiply(X_673,Z_674)) = Z_674 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135115]) ).
tff(c_136031,plain,
! [X_678,Z_679] : ( multiply(inverse(inverse(X_678)),Z_679) = multiply(X_678,Z_679) ),
inference(superposition,[status(thm),theory(equality)],[c_135128,c_135761]) ).
tff(c_135803,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_135761]) ).
tff(c_136038,plain,
! [X_678] : ( multiply(X_678,identity) = X_678 ),
inference(superposition,[status(thm),theory(equality)],[c_136031,c_135803]) ).
tff(c_135788,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_135654,c_135761]) ).
tff(c_135811,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_135788]) ).
tff(c_135656,plain,
multiply(sk_c8,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135647,c_135439]) ).
tff(c_135103,plain,
! [Z_661] : ( multiply(sk_c8,multiply(sk_c4,Z_661)) = multiply(identity,Z_661) ),
inference(superposition,[status(thm),theory(equality)],[c_135009,c_135076]) ).
tff(c_135727,plain,
! [Z_672] : ( multiply(sk_c8,multiply(sk_c4,Z_672)) = Z_672 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135103]) ).
tff(c_135742,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_135045,c_135727]) ).
tff(c_135746,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135656,c_135742]) ).
tff(c_135812,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_135811,c_135746]) ).
tff(c_135492,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_135469,c_135472]) ).
tff(c_135493,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_135492,c_135030]) ).
tff(c_135496,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135045,c_135493]) ).
tff(c_135505,plain,
multiply(sk_c8,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135496,c_135439]) ).
tff(c_135438,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_135147]) ).
tff(c_135483,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_135438]) ).
tff(c_135579,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135496,c_135496,c_135483]) ).
tff(c_135598,plain,
inverse(sk_c8) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_135505,c_135579]) ).
tff(c_135610,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134979,c_135598]) ).
tff(c_135611,plain,
! [X2_10,X1_9,X6_7,X4_11] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_135438]) ).
tff(c_135688,plain,
! [X2_10,X1_9,X6_7,X4_11] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135647,c_135647,c_135647,c_135647,c_135647,c_135611]) ).
tff(c_135689,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_135688]) ).
tff(c_136419,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_136038,c_135812,c_135811,c_135812,c_135689]) ).
tff(c_135820,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_135811,c_135469]) ).
tff(c_135822,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135820]) ).
tff(c_135752,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135746,c_135005]) ).
tff(c_135880,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_135822,c_135811,c_135752]) ).
tff(c_136421,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136419,c_135880]) ).
tff(c_136422,plain,
! [X6_7,X1_9,X2_10] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_135688]) ).
tff(c_144654,plain,
! [X6_7,X1_9,X2_10] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136641,c_136551,c_136481,c_136551,c_136641,c_136551,c_136481,c_136551,c_136641,c_136551,c_136481,c_2,c_136481,c_136481,c_136422]) ).
tff(c_144656,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_144654]) ).
tff(c_136552,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_136551,c_136506]) ).
tff(c_144658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144656,c_136552]) ).
tff(c_144659,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_144654]) ).
tff(c_144661,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_144659]) ).
tff(c_144663,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144661,c_136552]) ).
tff(c_144666,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_144659]) ).
tff(c_144668,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144666,c_136552]) ).
tff(c_144669,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_144674,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_144669,c_4]) ).
tff(c_144670,plain,
inverse(sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_80,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_144743,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_144670,c_80]) ).
tff(c_82,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_144721,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_144670,c_82]) ).
tff(c_144725,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_144721,c_4]) ).
tff(c_144803,plain,
! [Z_784] : ( multiply(sk_c8,multiply(sk_c4,Z_784)) = multiply(identity,Z_784) ),
inference(superposition,[status(thm),theory(equality)],[c_144725,c_144779]) ).
tff(c_144833,plain,
! [Z_785] : ( multiply(sk_c8,multiply(sk_c4,Z_785)) = Z_785 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_144803]) ).
tff(c_144845,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_144743,c_144833]) ).
tff(c_144815,plain,
! [Z_784] : ( multiply(sk_c7,multiply(sk_c8,Z_784)) = multiply(identity,Z_784) ),
inference(superposition,[status(thm),theory(equality)],[c_144674,c_144779]) ).
tff(c_144960,plain,
! [Z_789] : ( multiply(sk_c7,multiply(sk_c8,Z_789)) = Z_789 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_144815]) ).
tff(c_144978,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_144845,c_144960]) ).
tff(c_144995,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_144674,c_144978]) ).
tff(c_84,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_144754,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_144670,c_84]) ).
tff(c_86,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_144690,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_144670,c_86]) ).
tff(c_144694,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_144690,c_4]) ).
tff(c_144809,plain,
! [Z_784] : ( multiply(sk_c8,multiply(sk_c5,Z_784)) = multiply(identity,Z_784) ),
inference(superposition,[status(thm),theory(equality)],[c_144694,c_144779]) ).
tff(c_144882,plain,
! [Z_787] : ( multiply(sk_c8,multiply(sk_c5,Z_787)) = Z_787 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_144809]) ).
tff(c_144894,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_144754,c_144882]) ).
tff(c_144880,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144669,c_92]) ).
tff(c_144881,plain,
multiply(sk_c8,sk_c9) != sk_c7,
inference(splitLeft,[status(thm)],[c_144880]) ).
tff(c_144898,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_144894,c_144881]) ).
tff(c_145092,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_144995,c_144898]) ).
tff(c_145096,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_144995,c_144669]) ).
tff(c_145154,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_145096,c_4]) ).
tff(c_145234,plain,
multiply(inverse(identity),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_145154,c_144831]) ).
tff(c_145246,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_145234]) ).
tff(c_145248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_145092,c_145246]) ).
tff(c_145250,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_144880]) ).
tff(c_145258,plain,
! [Z_794] : ( multiply(sk_c8,multiply(sk_c5,Z_794)) = Z_794 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_144809]) ).
tff(c_145270,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_144754,c_145258]) ).
tff(c_145274,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_145250,c_145270]) ).
tff(c_145276,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_145274,c_145250]) ).
tff(c_146162,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_145276,c_146138]) ).
tff(c_146213,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_146162]) ).
tff(c_145287,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_145274,c_144674]) ).
tff(c_145282,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_145274,c_144721]) ).
tff(c_145280,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_145274,c_144743]) ).
tff(c_146159,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_145280,c_146138]) ).
tff(c_146212,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_145287,c_145282,c_146159]) ).
tff(c_145369,plain,
! [X_795,Z_796] : ( multiply(inverse(X_795),multiply(X_795,Z_796)) = Z_796 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_144818]) ).
tff(c_145685,plain,
! [X_799,Z_800] : ( multiply(inverse(inverse(X_799)),Z_800) = multiply(X_799,Z_800) ),
inference(superposition,[status(thm),theory(equality)],[c_145369,c_144831]) ).
tff(c_145435,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_145369]) ).
tff(c_145692,plain,
! [X_799] : ( multiply(X_799,identity) = X_799 ),
inference(superposition,[status(thm),theory(equality)],[c_145685,c_145435]) ).
tff(c_145393,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_145276,c_145369]) ).
tff(c_145444,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_145393]) ).
tff(c_145390,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_145280,c_145369]) ).
tff(c_145443,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_145287,c_145282,c_145390]) ).
tff(c_145249,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_144880]) ).
tff(c_145307,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145274,c_145274,c_145274,c_145274,c_145274,c_145274,c_145274,c_145249]) ).
tff(c_145308,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_145307]) ).
tff(c_146074,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_145692,c_145444,c_145443,c_145444,c_145308]) ).
tff(c_145288,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_145274,c_144669]) ).
tff(c_145458,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_145443,c_145443,c_145288]) ).
tff(c_146076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146074,c_145458]) ).
tff(c_146077,plain,
! [X2_10,X1_9,X6_7,X4_11] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_145307]) ).
tff(c_153531,plain,
! [X2_10,X1_9,X6_7,X4_11] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146479,c_146213,c_146212,c_146212,c_146479,c_146213,c_2,c_146213,c_146212,c_146213,c_146479,c_146212,c_146212,c_146212,c_146479,c_146213,c_146212,c_146212,c_146077]) ).
tff(c_153533,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_153531]) ).
tff(c_146227,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_146212,c_146212,c_145288]) ).
tff(c_153535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153533,c_146227]) ).
tff(c_153536,plain,
! [X6_7,X1_9,X2_10] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_153531]) ).
tff(c_158581,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_153536]) ).
tff(c_158583,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158581,c_146227]) ).
tff(c_158584,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_153536]) ).
tff(c_158586,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_158584]) ).
tff(c_158588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158586,c_146227]) ).
tff(c_159233,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_158584]) ).
tff(c_159235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159233,c_146227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : GRP329-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 21:53:15 EDT 2023
% 0.14/0.36 % CPUTime :
% 36.37/22.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.43/22.70
% 36.43/22.70 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 36.73/22.78
% 36.73/22.78 Inference rules
% 36.73/22.78 ----------------------
% 36.73/22.78 #Ref : 0
% 36.73/22.78 #Sup : 38292
% 36.73/22.78 #Fact : 0
% 36.73/22.78 #Define : 0
% 36.73/22.78 #Split : 46
% 36.73/22.78 #Chain : 0
% 36.73/22.78 #Close : 0
% 36.73/22.78
% 36.73/22.78 Ordering : KBO
% 36.73/22.78
% 36.73/22.78 Simplification rules
% 36.73/22.78 ----------------------
% 36.73/22.78 #Subsume : 8
% 36.73/22.78 #Demod : 159244
% 36.73/22.78 #Tautology : 31440
% 36.73/22.78 #SimpNegUnit : 155
% 36.73/22.78 #BackRed : 730
% 36.73/22.78
% 36.73/22.78 #Partial instantiations: 0
% 36.73/22.78 #Strategies tried : 1
% 36.73/22.78
% 36.73/22.78 Timing (in seconds)
% 36.73/22.78 ----------------------
% 36.73/22.78 Preprocessing : 0.54
% 36.73/22.78 Parsing : 0.21
% 36.73/22.78 CNF conversion : 0.03
% 36.73/22.78 Main loop : 20.95
% 36.73/22.78 Inferencing : 3.80
% 36.73/22.78 Reduction : 14.97
% 36.73/22.78 Demodulation : 14.46
% 36.73/22.78 BG Simplification : 0.27
% 36.73/22.78 Subsumption : 1.35
% 36.73/22.78 Abstraction : 1.08
% 36.73/22.78 MUC search : 0.00
% 36.73/22.78 Cooper : 0.00
% 36.73/22.78 Total : 21.67
% 36.73/22.78 Index Insertion : 0.00
% 36.73/22.78 Index Deletion : 0.00
% 36.73/22.78 Index Matching : 0.00
% 36.73/22.78 BG Taut test : 0.00
%------------------------------------------------------------------------------