TSTP Solution File: GRP241-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP241-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n008.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 10:40:36 EDT 2023
% Result : Unsatisfiable 11.83s 4.42s
% Output : CNFRefutation 12.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 44
% Syntax : Number of formulae : 538 ( 442 unt; 11 typ; 0 def)
% Number of atoms : 684 ( 664 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 319 ( 162 ~; 157 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 217 (; 217 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( inverse(sk_c8) != sk_c7 )
| ( inverse(sk_c7) != sk_c8 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( inverse(X4) != sk_c7 )
| ( multiply(sk_c8,X5) != sk_c7 )
| ( multiply(X6,sk_c8) != X5 )
| ( inverse(X6) != sk_c8 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(sk_c8,X2) != sk_c7 )
| ( multiply(X3,sk_c8) != X2 )
| ( inverse(X3) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_21733,plain,
! [X_302,Y_303,Z_304] : ( multiply(multiply(X_302,Y_303),Z_304) = multiply(X_302,multiply(Y_303,Z_304)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21772,plain,
! [X_2,Z_304] : ( multiply(inverse(X_2),multiply(X_2,Z_304)) = multiply(identity,Z_304) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21733]) ).
tff(c_21785,plain,
! [X_2,Z_304] : ( multiply(inverse(X_2),multiply(X_2,Z_304)) = Z_304 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21772]) ).
tff(c_23688,plain,
! [X_341,Z_342] : ( multiply(inverse(X_341),multiply(X_341,Z_342)) = Z_342 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21772]) ).
tff(c_24019,plain,
! [X_346,Z_347] : ( multiply(inverse(inverse(X_346)),Z_347) = multiply(X_346,Z_347) ),
inference(superposition,[status(thm),theory(equality)],[c_21785,c_23688]) ).
tff(c_23739,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23688]) ).
tff(c_24026,plain,
! [X_346] : ( multiply(X_346,identity) = X_346 ),
inference(superposition,[status(thm),theory(equality)],[c_24019,c_23739]) ).
tff(c_8,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_95,plain,
inverse(sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_99,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_95,c_4]) ).
tff(c_22,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_21685,plain,
inverse(sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_21689,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21685,c_4]) ).
tff(c_21757,plain,
! [Z_304] : ( multiply(sk_c8,multiply(sk_c7,Z_304)) = multiply(identity,Z_304) ),
inference(superposition,[status(thm),theory(equality)],[c_21689,c_21733]) ).
tff(c_21787,plain,
! [Z_305] : ( multiply(sk_c8,multiply(sk_c7,Z_305)) = Z_305 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21757]) ).
tff(c_21799,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_99,c_21787]) ).
tff(c_38,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_120,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_124,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_120,c_4]) ).
tff(c_26,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_134,plain,
inverse(sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_138,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_134,c_4]) ).
tff(c_20683,plain,
! [X_284,Y_285,Z_286] : ( multiply(multiply(X_284,Y_285),Z_286) = multiply(X_284,multiply(Y_285,Z_286)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_20716,plain,
! [Z_286] : ( multiply(sk_c8,multiply(sk_c7,Z_286)) = multiply(identity,Z_286) ),
inference(superposition,[status(thm),theory(equality)],[c_138,c_20683]) ).
tff(c_20744,plain,
! [Z_287] : ( multiply(sk_c8,multiply(sk_c7,Z_287)) = Z_287 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20716]) ).
tff(c_20756,plain,
multiply(sk_c8,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_124,c_20744]) ).
tff(c_20759,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_99,c_20744]) ).
tff(c_21017,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20756,c_20759]) ).
tff(c_21031,plain,
inverse(sk_c7) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21017,c_134]) ).
tff(c_21047,plain,
multiply(sk_c1,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21031,c_4]) ).
tff(c_10542,plain,
! [X_149,Y_150,Z_151] : ( multiply(multiply(X_149,Y_150),Z_151) = multiply(X_149,multiply(Y_150,Z_151)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10587,plain,
! [X_2,Z_151] : ( multiply(inverse(X_2),multiply(X_2,Z_151)) = multiply(identity,Z_151) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10542]) ).
tff(c_12288,plain,
! [X_181,Z_182] : ( multiply(inverse(X_181),multiply(X_181,Z_182)) = Z_182 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10587]) ).
tff(c_10601,plain,
! [X_2,Z_151] : ( multiply(inverse(X_2),multiply(X_2,Z_151)) = Z_151 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10587]) ).
tff(c_12463,plain,
! [X_184,Z_185] : ( multiply(inverse(inverse(X_184)),Z_185) = multiply(X_184,Z_185) ),
inference(superposition,[status(thm),theory(equality)],[c_12288,c_10601]) ).
tff(c_12309,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12288]) ).
tff(c_12470,plain,
! [X_184] : ( multiply(X_184,identity) = X_184 ),
inference(superposition,[status(thm),theory(equality)],[c_12463,c_12309]) ).
tff(c_10575,plain,
! [Z_151] : ( multiply(sk_c8,multiply(sk_c7,Z_151)) = multiply(identity,Z_151) ),
inference(superposition,[status(thm),theory(equality)],[c_138,c_10542]) ).
tff(c_10603,plain,
! [Z_152] : ( multiply(sk_c8,multiply(sk_c7,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10575]) ).
tff(c_10615,plain,
multiply(sk_c8,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_124,c_10603]) ).
tff(c_10618,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_99,c_10603]) ).
tff(c_10735,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10615,c_10618]) ).
tff(c_10749,plain,
inverse(sk_c7) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10735,c_134]) ).
tff(c_10763,plain,
multiply(sk_c1,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10749,c_4]) ).
tff(c_28,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_147,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_10746,plain,
multiply(sk_c1,sk_c7) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10735,c_147]) ).
tff(c_12273,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10763,c_10746]) ).
tff(c_12282,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12273,c_120]) ).
tff(c_76,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_107,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_10751,plain,
inverse(sk_c2) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10735,c_107]) ).
tff(c_10770,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10751,c_4]) ).
tff(c_12341,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12273,c_10770]) ).
tff(c_12278,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12273,c_10751]) ).
tff(c_12346,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12282,c_12341,c_12278]) ).
tff(c_10842,plain,
! [X_154,Z_155] : ( multiply(inverse(X_154),multiply(X_154,Z_155)) = Z_155 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10587]) ).
tff(c_11168,plain,
! [X_160,Z_161] : ( multiply(inverse(inverse(X_160)),Z_161) = multiply(X_160,Z_161) ),
inference(superposition,[status(thm),theory(equality)],[c_10842,c_10601]) ).
tff(c_10866,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10842]) ).
tff(c_11185,plain,
! [X_160] : ( multiply(X_160,identity) = X_160 ),
inference(superposition,[status(thm),theory(equality)],[c_11168,c_10866]) ).
tff(c_10748,plain,
multiply(sk_c1,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10735,c_138]) ).
tff(c_10815,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10748,c_10746]) ).
tff(c_10822,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10815,c_10749]) ).
tff(c_10838,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10822,c_4]) ).
tff(c_10907,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10838,c_10601]) ).
tff(c_10919,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10907]) ).
tff(c_10633,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10615,c_10618]) ).
tff(c_10647,plain,
inverse(sk_c7) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10633,c_134]) ).
tff(c_78,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(sk_c7) != sk_c8 )
| ( inverse(sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_10631,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_134,c_78]) ).
tff(c_10632,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_10631]) ).
tff(c_10687,plain,
! [X4_153] :
( ( inverse(X4_153) != sk_c7 )
| ( multiply(X4_153,sk_c7) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10633,c_10632]) ).
tff(c_10695,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c1 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10687]) ).
tff(c_10701,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_120,c_10647,c_10695]) ).
tff(c_10646,plain,
multiply(sk_c1,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10633,c_138]) ).
tff(c_10644,plain,
multiply(sk_c1,sk_c7) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10633,c_147]) ).
tff(c_10732,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10646,c_10644]) ).
tff(c_10733,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10701,c_10732]) ).
tff(c_10734,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_10631]) ).
tff(c_10774,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c1 )
| ( multiply(sk_c1,multiply(X6_7,sk_c1)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c1 )
| ( inverse(X1_9) != sk_c1 )
| ( inverse(X3_8) != sk_c1 )
| ( multiply(sk_c1,multiply(X3_8,sk_c1)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10735,c_10735,c_10735,c_10735,c_10735,c_10735,c_10735,c_10735,c_10734]) ).
tff(c_10775,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c1 )
| ( multiply(sk_c1,multiply(X3_8,sk_c1)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_10774]) ).
tff(c_12238,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11185,c_10919,c_10815,c_2,c_10815,c_10815,c_10775]) ).
tff(c_10825,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10815,c_120]) ).
tff(c_10923,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10919,c_10825]) ).
tff(c_12240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12238,c_10923]) ).
tff(c_12241,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c1 )
| ( inverse(X1_9) != sk_c1 )
| ( inverse(X6_7) != sk_c1 )
| ( multiply(sk_c1,multiply(X6_7,sk_c1)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_10774]) ).
tff(c_19195,plain,
! [X1_9,X6_7] :
( ( identity != X1_9 )
| ( inverse(X1_9) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12470,c_12346,c_12273,c_2,c_12273,c_12273,c_12273,c_12470,c_12346,c_12273,c_12241]) ).
tff(c_19197,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_19195]) ).
tff(c_12279,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12273,c_10749]) ).
tff(c_12347,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12346,c_12279]) ).
tff(c_19199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19197,c_12347]) ).
tff(c_19201,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_19195]) ).
tff(c_19203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19201,c_12347]) ).
tff(c_19205,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_21027,plain,
multiply(sk_c1,sk_c7) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21017,c_19205]) ).
tff(c_21167,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_21047,c_21027]) ).
tff(c_21018,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21017,c_20756]) ).
tff(c_19702,plain,
! [X_271,Y_272,Z_273] : ( multiply(multiply(X_271,Y_272),Z_273) = multiply(X_271,multiply(Y_272,Z_273)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19735,plain,
! [Z_273] : ( multiply(sk_c8,multiply(sk_c7,Z_273)) = multiply(identity,Z_273) ),
inference(superposition,[status(thm),theory(equality)],[c_138,c_19702]) ).
tff(c_19763,plain,
! [Z_274] : ( multiply(sk_c8,multiply(sk_c7,Z_274)) = Z_274 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19735]) ).
tff(c_19775,plain,
multiply(sk_c8,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_124,c_19763]) ).
tff(c_19778,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_99,c_19763]) ).
tff(c_20037,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19775,c_19778]) ).
tff(c_20050,plain,
multiply(sk_c1,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20037,c_138]) ).
tff(c_20047,plain,
multiply(sk_c1,sk_c7) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20037,c_19205]) ).
tff(c_20125,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_20050,c_20047]) ).
tff(c_20038,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20037,c_19775]) ).
tff(c_19274,plain,
! [X_264,Y_265,Z_266] : ( multiply(multiply(X_264,Y_265),Z_266) = multiply(X_264,multiply(Y_265,Z_266)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19310,plain,
! [Z_266] : ( multiply(sk_c8,multiply(sk_c7,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_138,c_19274]) ).
tff(c_19338,plain,
! [Z_267] : ( multiply(sk_c8,multiply(sk_c7,Z_267)) = Z_267 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19310]) ).
tff(c_19350,plain,
multiply(sk_c8,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_124,c_19338]) ).
tff(c_19353,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_99,c_19338]) ).
tff(c_19365,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19350,c_19353]) ).
tff(c_19379,plain,
inverse(sk_c7) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19365,c_134]) ).
tff(c_19393,plain,
multiply(sk_c1,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19379,c_4]) ).
tff(c_19375,plain,
multiply(sk_c1,sk_c7) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19365,c_19205]) ).
tff(c_19527,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_19393,c_19375]) ).
tff(c_56,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_19213,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_19376,plain,
multiply(sk_c1,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19365,c_19213]) ).
tff(c_19381,plain,
inverse(sk_c2) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19365,c_107]) ).
tff(c_66,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_19227,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_19373,plain,
multiply(sk_c2,sk_c1) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_19365,c_19227]) ).
tff(c_19322,plain,
! [X_2,Z_266] : ( multiply(inverse(X_2),multiply(X_2,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19274]) ).
tff(c_19336,plain,
! [X_2,Z_266] : ( multiply(inverse(X_2),multiply(X_2,Z_266)) = Z_266 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19322]) ).
tff(c_19555,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_19373,c_19336]) ).
tff(c_19561,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19376,c_19381,c_19555]) ).
tff(c_19204,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_19377,plain,
inverse(sk_c4) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19365,c_19204]) ).
tff(c_30,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_19264,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_19205,c_30]) ).
tff(c_19369,plain,
multiply(sk_c4,sk_c7) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19365,c_19264]) ).
tff(c_19460,plain,
! [X_268,Z_269] : ( multiply(inverse(X_268),multiply(X_268,Z_269)) = Z_269 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19322]) ).
tff(c_19484,plain,
multiply(inverse(sk_c4),sk_c1) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19369,c_19460]) ).
tff(c_19523,plain,
multiply(sk_c1,sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19377,c_19484]) ).
tff(c_19641,plain,
multiply(sk_c1,sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19561,c_19523]) ).
tff(c_19645,plain,
multiply(inverse(sk_c1),sk_c1) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_19641,c_19336]) ).
tff(c_19651,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19645]) ).
tff(c_19653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19527,c_19651]) ).
tff(c_19654,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_20045,plain,
inverse(sk_c5) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20037,c_19654]) ).
tff(c_19655,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_64,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_19679,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_19655,c_64]) ).
tff(c_20042,plain,
multiply(sk_c5,sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20037,c_19679]) ).
tff(c_19747,plain,
! [X_2,Z_273] : ( multiply(inverse(X_2),multiply(X_2,Z_273)) = multiply(identity,Z_273) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19702]) ).
tff(c_19761,plain,
! [X_2,Z_273] : ( multiply(inverse(X_2),multiply(X_2,Z_273)) = Z_273 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19747]) ).
tff(c_20203,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_20042,c_19761]) ).
tff(c_20209,plain,
multiply(sk_c1,sk_c6) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20045,c_20203]) ).
tff(c_20464,plain,
multiply(inverse(sk_c1),sk_c1) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_20209,c_19761]) ).
tff(c_20471,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20464]) ).
tff(c_19209,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19204,c_4]) ).
tff(c_20046,plain,
multiply(sk_c1,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20037,c_19209]) ).
tff(c_20133,plain,
! [X_278,Z_279] : ( multiply(inverse(X_278),multiply(X_278,Z_279)) = Z_279 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19747]) ).
tff(c_20154,plain,
multiply(inverse(sk_c1),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_20046,c_20133]) ).
tff(c_20195,plain,
multiply(sk_c7,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_120,c_20154]) ).
tff(c_20163,plain,
multiply(inverse(sk_c1),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_20050,c_20133]) ).
tff(c_20198,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_120,c_20163]) ).
tff(c_20258,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_20195,c_20198]) ).
tff(c_20271,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_20258,c_20195]) ).
tff(c_111,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_107,c_4]) ).
tff(c_20052,plain,
multiply(sk_c1,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20037,c_111]) ).
tff(c_20157,plain,
multiply(inverse(sk_c1),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_20052,c_20133]) ).
tff(c_20196,plain,
multiply(sk_c7,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_120,c_20157]) ).
tff(c_20337,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_20271,c_20258,c_20196]) ).
tff(c_20342,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_20337,c_20258]) ).
tff(c_62,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_19684,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_19655,c_62]) ).
tff(c_19720,plain,
! [Z_273] : ( multiply(sk_c8,multiply(sk_c6,Z_273)) = multiply(sk_c7,Z_273) ),
inference(superposition,[status(thm),theory(equality)],[c_19684,c_19702]) ).
tff(c_20502,plain,
! [Z_282] : ( multiply(sk_c2,Z_282) = multiply(sk_c1,Z_282) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20471,c_20342,c_20037,c_19720]) ).
tff(c_20338,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_20337,c_20337,c_20271]) ).
tff(c_20511,plain,
multiply(sk_c1,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_20502,c_20338]) ).
tff(c_20528,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20038,c_20511]) ).
tff(c_20278,plain,
inverse(sk_c1) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_20258,c_120]) ).
tff(c_20340,plain,
inverse(sk_c1) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_20337,c_20278]) ).
tff(c_20361,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20340,c_4]) ).
tff(c_20552,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20528,c_20361]) ).
tff(c_20538,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20528,c_20342]) ).
tff(c_20539,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20528,c_20337]) ).
tff(c_60,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_19689,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_19655,c_60]) ).
tff(c_19717,plain,
! [Z_273] : ( multiply(sk_c4,multiply(sk_c7,Z_273)) = multiply(sk_c8,Z_273) ),
inference(superposition,[status(thm),theory(equality)],[c_19689,c_19702]) ).
tff(c_20586,plain,
! [Z_283] : ( multiply(sk_c1,multiply(sk_c1,Z_283)) = multiply(sk_c1,Z_283) ),
inference(demodulation,[status(thm),theory(equality)],[c_20538,c_20539,c_20037,c_19717]) ).
tff(c_20607,plain,
multiply(sk_c1,sk_c1) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_20552,c_20586]) ).
tff(c_20617,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20552,c_20038,c_20607]) ).
tff(c_20619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20125,c_20617]) ).
tff(c_20621,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_52,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_20670,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_20621,c_52]) ).
tff(c_21020,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_21017,c_20670]) ).
tff(c_20620,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_21028,plain,
inverse(sk_c5) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21017,c_20620]) ).
tff(c_54,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_20665,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_20621,c_54]) ).
tff(c_21021,plain,
multiply(sk_c5,sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21017,c_20665]) ).
tff(c_20728,plain,
! [X_2,Z_286] : ( multiply(inverse(X_2),multiply(X_2,Z_286)) = multiply(identity,Z_286) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20683]) ).
tff(c_20742,plain,
! [X_2,Z_286] : ( multiply(inverse(X_2),multiply(X_2,Z_286)) = Z_286 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20728]) ).
tff(c_21184,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_21021,c_20742]) ).
tff(c_21190,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21020,c_21028,c_21184]) ).
tff(c_21195,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21190,c_21031]) ).
tff(c_20625,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20620,c_4]) ).
tff(c_21024,plain,
multiply(sk_c1,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21017,c_20625]) ).
tff(c_21216,plain,
multiply(inverse(sk_c1),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_21024,c_20742]) ).
tff(c_21222,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21018,c_21195,c_21216]) ).
tff(c_21255,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21222,c_21024]) ).
tff(c_21025,plain,
multiply(sk_c1,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21017,c_19209]) ).
tff(c_21256,plain,
multiply(sk_c1,sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21222,c_21021]) ).
tff(c_21302,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21255,c_21256]) ).
tff(c_20701,plain,
! [Z_286] : ( multiply(sk_c5,multiply(sk_c8,Z_286)) = multiply(sk_c6,Z_286) ),
inference(superposition,[status(thm),theory(equality)],[c_20665,c_20683]) ).
tff(c_21324,plain,
! [Z_294] : ( multiply(sk_c1,multiply(sk_c1,Z_294)) = Z_294 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21302,c_21222,c_21017,c_20701]) ).
tff(c_21351,plain,
multiply(sk_c1,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_21025,c_21324]) ).
tff(c_21365,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21018,c_21351]) ).
tff(c_50,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_20660,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_20621,c_50]) ).
tff(c_21022,plain,
multiply(sk_c4,sk_c7) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21017,c_20660]) ).
tff(c_21275,plain,
multiply(sk_c4,sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21190,c_21022]) ).
tff(c_21368,plain,
multiply(sk_c1,sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21365,c_21275]) ).
tff(c_21371,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21255,c_21368]) ).
tff(c_21373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21167,c_21371]) ).
tff(c_21375,plain,
inverse(sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_21404,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_21375,c_22]) ).
tff(c_21438,plain,
! [X_295,Y_296,Z_297] : ( multiply(multiply(X_295,Y_296),Z_297) = multiply(X_295,multiply(Y_296,Z_297)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21474,plain,
! [Z_297] : ( multiply(sk_c7,multiply(sk_c8,Z_297)) = multiply(identity,Z_297) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_21438]) ).
tff(c_21518,plain,
! [Z_300] : ( multiply(sk_c7,multiply(sk_c8,Z_300)) = Z_300 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21474]) ).
tff(c_21542,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_111,c_21518]) ).
tff(c_21374,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_21379,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21374,c_4]) ).
tff(c_21539,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_21379,c_21518]) ).
tff(c_21566,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_21542,c_21539]) ).
tff(c_24,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_21411,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_21375,c_24]) ).
tff(c_21567,plain,
multiply(sk_c2,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21566,c_21411]) ).
tff(c_21471,plain,
! [Z_297] : ( multiply(sk_c8,multiply(sk_c2,Z_297)) = multiply(identity,Z_297) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_21438]) ).
tff(c_21488,plain,
! [Z_297] : ( multiply(sk_c8,multiply(sk_c2,Z_297)) = Z_297 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21471]) ).
tff(c_21623,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_21567,c_21488]) ).
tff(c_21629,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_21404,c_21623]) ).
tff(c_21638,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_21629,c_21375]) ).
tff(c_21642,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_21629,c_95]) ).
tff(c_21654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21638,c_21642]) ).
tff(c_21656,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_44,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_21718,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_21656,c_44]) ).
tff(c_46,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_21668,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_21656,c_46]) ).
tff(c_21672,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21668,c_4]) ).
tff(c_21769,plain,
! [Z_304] : ( multiply(sk_c7,multiply(sk_c8,Z_304)) = multiply(identity,Z_304) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_21733]) ).
tff(c_22081,plain,
! [Z_311] : ( multiply(sk_c7,multiply(sk_c8,Z_311)) = Z_311 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21769]) ).
tff(c_22108,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_21672,c_22081]) ).
tff(c_22105,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_21689,c_22081]) ).
tff(c_22160,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22108,c_22105]) ).
tff(c_22184,plain,
inverse(sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22160,c_95]) ).
tff(c_23712,plain,
multiply(inverse(sk_c8),sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21799,c_23688]) ).
tff(c_23747,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21718,c_22184,c_23712]) ).
tff(c_21655,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_21660,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21655,c_4]) ).
tff(c_22111,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_21660,c_22081]) ).
tff(c_22198,plain,
multiply(sk_c5,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_22160,c_22111]) ).
tff(c_23733,plain,
multiply(inverse(sk_c8),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_111,c_23688]) ).
tff(c_23751,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_22198,c_22184,c_23733]) ).
tff(c_23721,plain,
multiply(inverse(sk_c8),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_21672,c_23688]) ).
tff(c_23749,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_22198,c_22184,c_23721]) ).
tff(c_23765,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_23751,c_23749]) ).
tff(c_42,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_21702,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_21656,c_42]) ).
tff(c_22179,plain,
multiply(sk_c8,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22160,c_21702]) ).
tff(c_23865,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_21799,c_23747,c_23765,c_22179]) ).
tff(c_40,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_21710,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_21656,c_40]) ).
tff(c_22178,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22160,c_21710]) ).
tff(c_23888,plain,
multiply(sk_c2,sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_23865,c_23765,c_23751,c_22178]) ).
tff(c_23892,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_23888,c_21785]) ).
tff(c_23898,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_23892]) ).
tff(c_23940,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23898,c_23765]) ).
tff(c_23937,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23898,c_23865]) ).
tff(c_22278,plain,
! [X_313,Z_314] : ( multiply(inverse(X_313),multiply(X_313,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21772]) ).
tff(c_22522,plain,
! [X_317,Z_318] : ( multiply(inverse(inverse(X_317)),Z_318) = multiply(X_317,Z_318) ),
inference(superposition,[status(thm),theory(equality)],[c_21785,c_22278]) ).
tff(c_22305,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22278]) ).
tff(c_22529,plain,
! [X_317] : ( multiply(X_317,identity) = X_317 ),
inference(superposition,[status(thm),theory(equality)],[c_22522,c_22305]) ).
tff(c_22114,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_111,c_22081]) ).
tff(c_22209,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_22198,c_22160,c_22114]) ).
tff(c_22210,plain,
multiply(sk_c5,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_22209,c_22198]) ).
tff(c_22173,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22160,c_22108]) ).
tff(c_22336,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_22210,c_22173]) ).
tff(c_22194,plain,
multiply(sk_c5,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22184,c_4]) ).
tff(c_22234,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22194,c_21718]) ).
tff(c_22256,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_21799,c_22234,c_22179]) ).
tff(c_22248,plain,
multiply(sk_c2,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22209,c_22178]) ).
tff(c_22257,plain,
multiply(sk_c2,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22256,c_22248]) ).
tff(c_22422,plain,
multiply(sk_c2,sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_22336,c_22336,c_22257]) ).
tff(c_22264,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22256,c_107]) ).
tff(c_22319,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22264,c_4]) ).
tff(c_22439,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22422,c_22336,c_22319]) ).
tff(c_22447,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22439,c_22336]) ).
tff(c_22354,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_22336,c_22256]) ).
tff(c_22445,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22439,c_22354]) ).
tff(c_21814,plain,
! [Z_306] : ( multiply(sk_c7,multiply(sk_c8,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21769]) ).
tff(c_21841,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_21672,c_21814]) ).
tff(c_21838,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_21689,c_21814]) ).
tff(c_21893,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_21841,c_21838]) ).
tff(c_21844,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_21660,c_21814]) ).
tff(c_21931,plain,
multiply(sk_c5,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_21893,c_21844]) ).
tff(c_21847,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_111,c_21814]) ).
tff(c_21961,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_21931,c_21893,c_21847]) ).
tff(c_21911,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_21893,c_21710]) ).
tff(c_21984,plain,
multiply(sk_c2,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_21961,c_21911]) ).
tff(c_21812,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_21685,c_78]) ).
tff(c_21813,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_21812]) ).
tff(c_21940,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c5 )
| ( multiply(X4_11,sk_c5) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21893,c_21893,c_21813]) ).
tff(c_21988,plain,
inverse(sk_c2) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_21984,c_21940]) ).
tff(c_21995,plain,
sk_c8 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_107,c_21988]) ).
tff(c_21917,plain,
inverse(sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_21893,c_95]) ).
tff(c_21927,plain,
multiply(sk_c5,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21917,c_4]) ).
tff(c_21971,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21927,c_21718]) ).
tff(c_21835,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_21702,c_21814]) ).
tff(c_21908,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21893,c_21893,c_21835]) ).
tff(c_21997,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21971,c_21908]) ).
tff(c_22018,plain,
! [X_309,Z_310] : ( multiply(inverse(X_309),multiply(X_309,Z_310)) = Z_310 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21772]) ).
tff(c_22039,plain,
multiply(inverse(sk_c5),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_21997,c_22018]) ).
tff(c_22077,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_21799,c_21668,c_22039]) ).
tff(c_22079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21995,c_22077]) ).
tff(c_22080,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_21812]) ).
tff(c_22207,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c5 )
| ( multiply(X1_9,sk_c5) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22160,c_22160,c_22160,c_22080]) ).
tff(c_22208,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_22207]) ).
tff(c_23684,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_22529,c_22447,c_22445,c_2,c_22445,c_22445,c_22208]) ).
tff(c_22352,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_22336,c_22264]) ).
tff(c_22443,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22439,c_22439,c_22352]) ).
tff(c_23686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23684,c_22443]) ).
tff(c_23687,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c5) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_22207]) ).
tff(c_31891,plain,
! [X1_9,X6_7] :
( ( identity != X1_9 )
| ( inverse(X1_9) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24026,c_23940,c_23937,c_2,c_23937,c_23937,c_23937,c_24026,c_23940,c_23937,c_23687]) ).
tff(c_31893,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_31891]) ).
tff(c_23753,plain,
inverse(sk_c8) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_23749,c_22184]) ).
tff(c_23800,plain,
inverse(sk_c8) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_23751,c_23753]) ).
tff(c_23868,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_23865,c_23800]) ).
tff(c_23936,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23898,c_23898,c_23868]) ).
tff(c_31895,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31893,c_23936]) ).
tff(c_31897,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_31891]) ).
tff(c_31899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31897,c_23936]) ).
tff(c_31900,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_31941,plain,
! [X_435,Y_436,Z_437] : ( multiply(multiply(X_435,Y_436),Z_437) = multiply(X_435,multiply(Y_436,Z_437)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31974,plain,
! [Z_437] : ( multiply(sk_c7,multiply(sk_c8,Z_437)) = multiply(identity,Z_437) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_31941]) ).
tff(c_31993,plain,
! [Z_438] : ( multiply(sk_c7,multiply(sk_c8,Z_438)) = Z_438 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31974]) ).
tff(c_32014,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_111,c_31993]) ).
tff(c_32008,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_21672,c_31993]) ).
tff(c_32058,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_32014,c_32008]) ).
tff(c_31908,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_21656,c_44]) ).
tff(c_32059,plain,
multiply(sk_c2,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_32058,c_31908]) ).
tff(c_31971,plain,
! [Z_437] : ( multiply(sk_c8,multiply(sk_c2,Z_437)) = multiply(identity,Z_437) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_31941]) ).
tff(c_32093,plain,
! [Z_440] : ( multiply(sk_c8,multiply(sk_c2,Z_440)) = Z_440 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31971]) ).
tff(c_32111,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_32059,c_32093]) ).
tff(c_32115,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_31900,c_32111]) ).
tff(c_31901,plain,
inverse(sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_32189,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32115,c_31901]) ).
tff(c_32193,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32115,c_95]) ).
tff(c_32235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32189,c_32193]) ).
tff(c_32237,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_72,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_41153,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32237,c_72]) ).
tff(c_41182,plain,
! [X_564,Y_565,Z_566] : ( multiply(multiply(X_564,Y_565),Z_566) = multiply(X_564,multiply(Y_565,Z_566)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41212,plain,
! [Z_566] : ( multiply(sk_c7,multiply(sk_c8,Z_566)) = multiply(identity,Z_566) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_41182]) ).
tff(c_41253,plain,
! [Z_568] : ( multiply(sk_c7,multiply(sk_c8,Z_568)) = Z_568 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41212]) ).
tff(c_41271,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_41153,c_41253]) ).
tff(c_32327,plain,
! [X_444,Y_445,Z_446] : ( multiply(multiply(X_444,Y_445),Z_446) = multiply(X_444,multiply(Y_445,Z_446)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32366,plain,
! [X_2,Z_446] : ( multiply(inverse(X_2),multiply(X_2,Z_446)) = multiply(identity,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32327]) ).
tff(c_32379,plain,
! [X_2,Z_446] : ( multiply(inverse(X_2),multiply(X_2,Z_446)) = Z_446 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32366]) ).
tff(c_34059,plain,
! [X_478,Z_479] : ( multiply(inverse(X_478),multiply(X_478,Z_479)) = Z_479 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32366]) ).
tff(c_34307,plain,
! [X_482,Z_483] : ( multiply(inverse(inverse(X_482)),Z_483) = multiply(X_482,Z_483) ),
inference(superposition,[status(thm),theory(equality)],[c_32379,c_34059]) ).
tff(c_34116,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34059]) ).
tff(c_34314,plain,
! [X_482] : ( multiply(X_482,identity) = X_482 ),
inference(superposition,[status(thm),theory(equality)],[c_34307,c_34116]) ).
tff(c_32310,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32237,c_72]) ).
tff(c_74,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_32305,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_32237,c_74]) ).
tff(c_32236,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_32241,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32236,c_4]) ).
tff(c_32360,plain,
! [Z_446] : ( multiply(sk_c8,multiply(sk_c5,Z_446)) = multiply(identity,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_32241,c_32327]) ).
tff(c_32394,plain,
! [Z_448] : ( multiply(sk_c8,multiply(sk_c5,Z_448)) = Z_448 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32360]) ).
tff(c_32406,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_32305,c_32394]) ).
tff(c_32410,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32310,c_32406]) ).
tff(c_32536,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32410,c_99]) ).
tff(c_68,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_32250,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32237,c_68]) ).
tff(c_32532,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32410,c_32250]) ).
tff(c_70,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_32298,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32237,c_70]) ).
tff(c_32528,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32410,c_32298]) ).
tff(c_34086,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32528,c_34059]) ).
tff(c_34126,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32536,c_32532,c_34086]) ).
tff(c_32612,plain,
! [X_450,Z_451] : ( multiply(inverse(X_450),multiply(X_450,Z_451)) = Z_451 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32366]) ).
tff(c_32860,plain,
! [X_454,Z_455] : ( multiply(inverse(inverse(X_454)),Z_455) = multiply(X_454,Z_455) ),
inference(superposition,[status(thm),theory(equality)],[c_32379,c_32612]) ).
tff(c_32669,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32612]) ).
tff(c_32867,plain,
! [X_454] : ( multiply(X_454,identity) = X_454 ),
inference(superposition,[status(thm),theory(equality)],[c_32860,c_32669]) ).
tff(c_32639,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32528,c_32612]) ).
tff(c_32679,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32536,c_32532,c_32639]) ).
tff(c_32421,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32410,c_32250]) ).
tff(c_32417,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32410,c_32298]) ).
tff(c_20,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_32268,plain,
inverse(sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_32412,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_32268,c_78]) ).
tff(c_32413,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_32412]) ).
tff(c_32476,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32410,c_32413]) ).
tff(c_32514,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32417,c_32476]) ).
tff(c_32523,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32421,c_32514]) ).
tff(c_32524,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_32412]) ).
tff(c_32556,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_8,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32410,c_32410,c_32410,c_32410,c_32410,c_32410,c_32410,c_32410,c_32524]) ).
tff(c_32557,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_8,sk_c7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_32556]) ).
tff(c_34001,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32867,c_32679,c_32679,c_2,c_32679,c_32679,c_32557]) ).
tff(c_32537,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32410,c_95]) ).
tff(c_32695,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32679,c_32679,c_32537]) ).
tff(c_34003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34001,c_32695]) ).
tff(c_34004,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_32556]) ).
tff(c_41132,plain,
! [X1_9,X6_7] :
( ( identity != X1_9 )
| ( inverse(X1_9) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34314,c_34126,c_34126,c_2,c_34126,c_34126,c_34126,c_34314,c_34126,c_34126,c_34004]) ).
tff(c_41134,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_41132]) ).
tff(c_34142,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34126,c_34126,c_32537]) ).
tff(c_41136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41134,c_34142]) ).
tff(c_41138,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_41132]) ).
tff(c_41140,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41138,c_34142]) ).
tff(c_41141,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_32254,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32250,c_4]) ).
tff(c_41206,plain,
! [Z_566] : ( multiply(sk_c8,multiply(sk_c4,Z_566)) = multiply(identity,Z_566) ),
inference(superposition,[status(thm),theory(equality)],[c_32254,c_41182]) ).
tff(c_41230,plain,
! [Z_567] : ( multiply(sk_c8,multiply(sk_c4,Z_567)) = Z_567 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41206]) ).
tff(c_41242,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41141,c_41230]) ).
tff(c_41215,plain,
! [X_2,Z_566] : ( multiply(inverse(X_2),multiply(X_2,Z_566)) = multiply(identity,Z_566) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41182]) ).
tff(c_41357,plain,
! [X_570,Z_571] : ( multiply(inverse(X_570),multiply(X_570,Z_571)) = Z_571 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41215]) ).
tff(c_41390,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41242,c_41357]) ).
tff(c_41426,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41271,c_95,c_41390]) ).
tff(c_41441,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41426,c_32250]) ).
tff(c_41274,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_32254,c_41253]) ).
tff(c_41444,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41426,c_95]) ).
tff(c_41281,plain,
! [Z_569] : ( multiply(sk_c4,multiply(sk_c7,Z_569)) = multiply(sk_c8,Z_569) ),
inference(superposition,[status(thm),theory(equality)],[c_41141,c_41182]) ).
tff(c_41299,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_99,c_41281]) ).
tff(c_41303,plain,
multiply(sk_c4,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41242,c_41299]) ).
tff(c_41375,plain,
multiply(inverse(sk_c4),sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41303,c_41357]) ).
tff(c_41424,plain,
multiply(sk_c8,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32250,c_41375]) ).
tff(c_41492,plain,
multiply(sk_c6,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41426,c_41424]) ).
tff(c_41226,plain,
! [X_2,Z_566] : ( multiply(inverse(X_2),multiply(X_2,Z_566)) = Z_566 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41215]) ).
tff(c_41496,plain,
multiply(inverse(sk_c6),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41492,c_41226]) ).
tff(c_41502,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_41274,c_41444,c_41496]) ).
tff(c_41142,plain,
inverse(sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_41439,plain,
inverse(sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41426,c_41142]) ).
tff(c_41507,plain,
inverse(sk_c4) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41502,c_41439]) ).
tff(c_41514,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41441,c_41507]) ).
tff(c_41516,plain,
inverse(sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_12,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_41603,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_41516,c_12]) ).
tff(c_14,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_41572,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_41516,c_14]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_41529,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_41516,c_16]) ).
tff(c_41533,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41529,c_4]) ).
tff(c_41618,plain,
! [X_572,Y_573,Z_574] : ( multiply(multiply(X_572,Y_573),Z_574) = multiply(X_572,multiply(Y_573,Z_574)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41651,plain,
! [Z_574] : ( multiply(sk_c8,multiply(sk_c5,Z_574)) = multiply(identity,Z_574) ),
inference(superposition,[status(thm),theory(equality)],[c_41533,c_41618]) ).
tff(c_41672,plain,
! [Z_575] : ( multiply(sk_c8,multiply(sk_c5,Z_575)) = Z_575 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41651]) ).
tff(c_41684,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41572,c_41672]) ).
tff(c_41688,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41603,c_41684]) ).
tff(c_41700,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41688,c_41516]) ).
tff(c_41555,plain,
inverse(sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_41696,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41688,c_41555]) ).
tff(c_41721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41700,c_41696]) ).
tff(c_41723,plain,
inverse(sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_41743,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_41723,c_22]) ).
tff(c_41722,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_41767,plain,
! [X_576,Y_577,Z_578] : ( multiply(multiply(X_576,Y_577),Z_578) = multiply(X_576,multiply(Y_577,Z_578)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41794,plain,
! [Z_578] : ( multiply(sk_c8,multiply(sk_c5,Z_578)) = multiply(identity,Z_578) ),
inference(superposition,[status(thm),theory(equality)],[c_41533,c_41767]) ).
tff(c_41813,plain,
! [Z_579] : ( multiply(sk_c8,multiply(sk_c5,Z_579)) = Z_579 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41794]) ).
tff(c_41825,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41722,c_41813]) ).
tff(c_41829,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41743,c_41825]) ).
tff(c_41831,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41829,c_41743]) ).
tff(c_41800,plain,
! [X_2,Z_578] : ( multiply(inverse(X_2),multiply(X_2,Z_578)) = multiply(identity,Z_578) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41767]) ).
tff(c_41811,plain,
! [X_2,Z_578] : ( multiply(inverse(X_2),multiply(X_2,Z_578)) = Z_578 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41800]) ).
tff(c_41952,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_41831,c_41811]) ).
tff(c_41958,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41952]) ).
tff(c_41833,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41829,c_41722]) ).
tff(c_41962,plain,
multiply(sk_c5,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41958,c_41833]) ).
tff(c_41515,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_41839,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41829,c_41515]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_41735,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_41516,c_10]) ).
tff(c_41832,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41829,c_41735]) ).
tff(c_41973,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41832,c_41811]) ).
tff(c_41979,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41839,c_41973]) ).
tff(c_41791,plain,
! [Z_578] : ( multiply(sk_c5,multiply(sk_c8,Z_578)) = multiply(sk_c6,Z_578) ),
inference(superposition,[status(thm),theory(equality)],[c_41722,c_41767]) ).
tff(c_42007,plain,
! [Z_578] : ( multiply(sk_c5,multiply(sk_c7,Z_578)) = Z_578 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41958,c_41829,c_41791]) ).
tff(c_42042,plain,
multiply(sk_c5,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41979,c_42007]) ).
tff(c_42051,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41962,c_42042]) ).
tff(c_41834,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41829,c_41723]) ).
tff(c_42063,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_42051,c_42051,c_41834]) ).
tff(c_42062,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42051,c_41839]) ).
tff(c_42131,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42062,c_4]) ).
tff(c_42184,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_42131,c_41811]) ).
tff(c_42196,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42184]) ).
tff(c_42201,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42196,c_42062]) ).
tff(c_42205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42063,c_42201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP241-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.17/0.34 % Computer : n008.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Thu Aug 3 22:02:19 EDT 2023
% 0.17/0.34 % CPUTime :
% 11.83/4.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.83/4.46
% 11.83/4.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.28/4.53
% 12.28/4.53 Inference rules
% 12.28/4.53 ----------------------
% 12.28/4.53 #Ref : 0
% 12.28/4.53 #Sup : 10454
% 12.28/4.53 #Fact : 0
% 12.28/4.53 #Define : 0
% 12.28/4.53 #Split : 35
% 12.28/4.53 #Chain : 0
% 12.28/4.53 #Close : 0
% 12.28/4.53
% 12.28/4.53 Ordering : KBO
% 12.28/4.53
% 12.28/4.53 Simplification rules
% 12.28/4.53 ----------------------
% 12.28/4.53 #Subsume : 18
% 12.28/4.53 #Demod : 22249
% 12.28/4.53 #Tautology : 8414
% 12.28/4.53 #SimpNegUnit : 82
% 12.28/4.53 #BackRed : 596
% 12.28/4.53
% 12.28/4.53 #Partial instantiations: 0
% 12.28/4.53 #Strategies tried : 1
% 12.28/4.53
% 12.28/4.53 Timing (in seconds)
% 12.28/4.53 ----------------------
% 12.28/4.53 Preprocessing : 0.52
% 12.28/4.53 Parsing : 0.20
% 12.28/4.53 CNF conversion : 0.02
% 12.28/4.53 Main loop : 2.84
% 12.28/4.53 Inferencing : 0.89
% 12.28/4.53 Reduction : 1.39
% 12.28/4.53 Demodulation : 1.21
% 12.28/4.53 BG Simplification : 0.09
% 12.28/4.53 Subsumption : 0.30
% 12.28/4.53 Abstraction : 0.17
% 12.28/4.53 MUC search : 0.00
% 12.28/4.53 Cooper : 0.00
% 12.28/4.53 Total : 3.48
% 12.28/4.53 Index Insertion : 0.00
% 12.28/4.53 Index Deletion : 0.00
% 12.28/4.53 Index Matching : 0.00
% 12.28/4.53 BG Taut test : 0.00
%------------------------------------------------------------------------------