TSTP Solution File: GRP336-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP336-1 : 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 : n009.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 10:40:58 EDT 2023
% Result : Unsatisfiable 50.26s 36.53s
% Output : CNFRefutation 51.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 60
% Syntax : Number of formulae : 1004 ( 812 unt; 13 typ; 0 def)
% Number of atoms : 1421 (1369 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 951 ( 521 ~; 430 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 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 : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 560 (; 560 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c10 > 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_c10,type,
sk_c10: $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_92,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c4) = sk_c10 ) ),
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_155,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c8 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_248,axiom,
! [X5,X6,X3,X7,X1,X2,X4] :
( ( multiply(sk_c9,sk_c10) != sk_c8 )
| ( inverse(X4) != sk_c10 )
| ( multiply(X4,sk_c9) != sk_c10 )
| ( multiply(X5,X6) != sk_c9 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c10) != sk_c9 )
| ( multiply(X1,sk_c10) != sk_c9 )
| ( inverse(X1) != sk_c10 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( inverse(X2) != sk_c10 )
| ( multiply(X2,sk_c9) != sk_c10 )
| ( multiply(X7,X3) != sk_c9 )
| ( inverse(X7) != X3 )
| ( multiply(X3,sk_c8) != sk_c9 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( multiply(sk_c5,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c9 )
| ( multiply(sk_c5,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c8 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c8 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c9 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c5,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c8 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c8 )
| ( multiply(sk_c5,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c5,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c5,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c6) = sk_c7 ) ),
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_26,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_133,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_137,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133,c_4]) ).
tff(c_62,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_35966,plain,
multiply(sk_c2,sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_74,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_121,plain,
inverse(sk_c2) = sk_c3,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_125,plain,
multiply(sk_c3,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_121,c_4]) ).
tff(c_36030,plain,
! [X_273,Y_274,Z_275] : ( multiply(multiply(X_273,Y_274),Z_275) = multiply(X_273,multiply(Y_274,Z_275)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36081,plain,
! [Z_275] : ( multiply(sk_c3,multiply(sk_c2,Z_275)) = multiply(identity,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_36030]) ).
tff(c_36122,plain,
! [Z_277] : ( multiply(sk_c3,multiply(sk_c2,Z_277)) = Z_277 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36081]) ).
tff(c_36134,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_35966,c_36122]) ).
tff(c_36084,plain,
! [X_2,Z_275] : ( multiply(inverse(X_2),multiply(X_2,Z_275)) = multiply(identity,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36030]) ).
tff(c_47724,plain,
! [X_378,Z_379] : ( multiply(inverse(X_378),multiply(X_378,Z_379)) = Z_379 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36084]) ).
tff(c_47769,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36134,c_47724]) ).
tff(c_47840,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_47769]) ).
tff(c_68,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_171,plain,
multiply(sk_c2,sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_207,plain,
! [X_15,Y_16,Z_17] : ( multiply(multiply(X_15,Y_16),Z_17) = multiply(X_15,multiply(Y_16,Z_17)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_237,plain,
! [Z_17] : ( multiply(sk_c3,multiply(sk_c2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_207]) ).
tff(c_509,plain,
! [Z_24] : ( multiply(sk_c3,multiply(sk_c2,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_237]) ).
tff(c_521,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_171,c_509]) ).
tff(c_240,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_207]) ).
tff(c_808,plain,
! [X_30,Z_31] : ( multiply(inverse(X_30),multiply(X_30,Z_31)) = Z_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_240]) ).
tff(c_835,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_521,c_808]) ).
tff(c_888,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_835]) ).
tff(c_100,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_161,plain,
multiply(sk_c3,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_100]) ).
tff(c_900,plain,
multiply(sk_c3,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_888,c_161]) ).
tff(c_222,plain,
! [Z_17] : ( multiply(sk_c2,multiply(sk_c3,Z_17)) = multiply(sk_c9,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_171,c_207]) ).
tff(c_1953,plain,
! [Z_49] : ( multiply(sk_c2,multiply(sk_c3,Z_49)) = Z_49 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_888,c_222]) ).
tff(c_1971,plain,
multiply(sk_c2,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_900,c_1953]) ).
tff(c_1980,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_125,c_1953]) ).
tff(c_2004,plain,
sk_c2 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1971,c_1980]) ).
tff(c_2021,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2004,c_1971]) ).
tff(c_42,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_149,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_231,plain,
! [Z_17] : ( multiply(sk_c1,multiply(sk_c9,Z_17)) = multiply(sk_c10,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_207]) ).
tff(c_2120,plain,
! [Z_51] : ( multiply(sk_c10,Z_51) = multiply(sk_c1,Z_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_888,c_231]) ).
tff(c_2144,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2120,c_137]) ).
tff(c_250,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_240]) ).
tff(c_2213,plain,
multiply(inverse(sk_c1),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_2144,c_250]) ).
tff(c_2222,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2021,c_133,c_2213]) ).
tff(c_2235,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2222,c_133]) ).
tff(c_916,plain,
! [X_32] : ( multiply(inverse(identity),X_32) = X_32 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_808]) ).
tff(c_2464,plain,
! [X_56] : ( multiply(inverse(inverse(identity)),X_56) = X_56 ),
inference(superposition,[status(thm),theory(equality)],[c_916,c_250]) ).
tff(c_2495,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2464,c_4]) ).
tff(c_2520,plain,
! [X_57,Z_58] : ( multiply(inverse(inverse(X_57)),Z_58) = multiply(X_57,Z_58) ),
inference(superposition,[status(thm),theory(equality)],[c_250,c_808]) ).
tff(c_2575,plain,
! [X_57] : ( multiply(X_57,inverse(X_57)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2520]) ).
tff(c_880,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_808]) ).
tff(c_2541,plain,
! [X_57] : ( multiply(X_57,identity) = X_57 ),
inference(superposition,[status(thm),theory(equality)],[c_2520,c_880]) ).
tff(c_20,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c9,sk_c10) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_155,plain,
multiply(sk_c9,sk_c10) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_901,plain,
multiply(identity,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_888,c_155]) ).
tff(c_906,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_901]) ).
tff(c_2232,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2222,c_906]) ).
tff(c_278,plain,
! [Z_19] : ( multiply(sk_c3,multiply(sk_c2,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_237]) ).
tff(c_290,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_171,c_278]) ).
tff(c_301,plain,
! [X_20,Z_21] : ( multiply(inverse(X_20),multiply(X_20,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_240]) ).
tff(c_319,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_290,c_301]) ).
tff(c_365,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_319]) ).
tff(c_375,plain,
multiply(identity,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_365,c_155]) ).
tff(c_377,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_375]) ).
tff(c_104,plain,
! [X5_6,X4_12,X1_10,X7_9,X2_11] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c9,sk_c10) != sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_253,plain,
! [X5_6,X4_12,X1_10,X7_9,X2_11] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155,c_104]) ).
tff(c_254,plain,
multiply(sk_c10,sk_c8) != sk_c9,
inference(splitLeft,[status(thm)],[c_253]) ).
tff(c_372,plain,
multiply(sk_c10,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_365,c_254]) ).
tff(c_475,plain,
multiply(sk_c10,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_377,c_372]) ).
tff(c_234,plain,
! [Z_17] : ( multiply(sk_c10,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_207]) ).
tff(c_255,plain,
! [Z_18] : ( multiply(sk_c10,multiply(sk_c1,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_234]) ).
tff(c_267,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_149,c_255]) ).
tff(c_371,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_365,c_267]) ).
tff(c_476,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_475,c_371]) ).
tff(c_478,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_253]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_482,plain,
! [Z_5] : ( multiply(sk_c10,multiply(sk_c8,Z_5)) = multiply(sk_c9,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_478,c_6]) ).
tff(c_2266,plain,
! [Z_5] : ( multiply(sk_c1,multiply(sk_c1,Z_5)) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2232,c_2222,c_2,c_888,c_482]) ).
tff(c_2686,plain,
! [X_60] : ( multiply(X_60,inverse(X_60)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2520]) ).
tff(c_853,plain,
! [X_3,Y_4,Z_5] : ( multiply(inverse(multiply(X_3,Y_4)),multiply(X_3,multiply(Y_4,Z_5))) = Z_5 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_808]) ).
tff(c_2698,plain,
! [X_3,X_60] : ( multiply(inverse(multiply(X_3,X_60)),multiply(X_3,identity)) = inverse(X_60) ),
inference(superposition,[status(thm),theory(equality)],[c_2686,c_853]) ).
tff(c_4147,plain,
! [X_82,X_83] : ( multiply(inverse(multiply(X_82,X_83)),X_82) = inverse(X_83) ),
inference(demodulation,[status(thm),theory(equality)],[c_2541,c_2698]) ).
tff(c_4258,plain,
! [Z_5] : ( multiply(inverse(Z_5),sk_c1) = inverse(multiply(sk_c1,Z_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_2266,c_4147]) ).
tff(c_225,plain,
! [Z_17] : ( multiply(sk_c3,multiply(sk_c10,Z_17)) = multiply(sk_c9,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_207]) ).
tff(c_1060,plain,
! [Z_34] : ( multiply(sk_c3,multiply(sk_c10,Z_34)) = Z_34 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_888,c_225]) ).
tff(c_1081,plain,
multiply(sk_c3,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_1060]) ).
tff(c_895,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_888,c_521]) ).
tff(c_1085,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1081,c_895]) ).
tff(c_1097,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1085,c_1081]) ).
tff(c_902,plain,
multiply(sk_c1,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_888,c_149]) ).
tff(c_1153,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1097,c_902]) ).
tff(c_1283,plain,
! [X_36,Z_37] : ( multiply(inverse(inverse(X_36)),Z_37) = multiply(X_36,Z_37) ),
inference(superposition,[status(thm),theory(equality)],[c_808,c_250]) ).
tff(c_1290,plain,
! [X_36] : ( multiply(X_36,identity) = X_36 ),
inference(superposition,[status(thm),theory(equality)],[c_1283,c_880]) ).
tff(c_591,plain,
! [X_26,Z_27] : ( multiply(inverse(X_26),multiply(X_26,Z_27)) = Z_27 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_240]) ).
tff(c_618,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_521,c_591]) ).
tff(c_671,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_618]) ).
tff(c_682,plain,
multiply(sk_c2,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_671,c_171]) ).
tff(c_683,plain,
multiply(sk_c3,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_671,c_161]) ).
tff(c_684,plain,
multiply(identity,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_671,c_155]) ).
tff(c_689,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_684]) ).
tff(c_477,plain,
! [X5_6,X4_12,X1_10,X7_9,X2_11] :
( ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_253]) ).
tff(c_590,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_477]) ).
tff(c_791,plain,
! [X7_29] :
( ( multiply(inverse(X7_29),sk_c10) != identity )
| ( multiply(X7_29,inverse(X7_29)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_671,c_689,c_671,c_590]) ).
tff(c_798,plain,
( ( multiply(sk_c3,sk_c10) != identity )
| ( multiply(sk_c2,inverse(sk_c2)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_121,c_791]) ).
tff(c_806,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_682,c_121,c_683,c_798]) ).
tff(c_807,plain,
! [X2_11,X1_10,X5_6,X4_12] :
( ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_477]) ).
tff(c_1007,plain,
! [X2_11,X1_10,X5_6,X4_12] :
( ( multiply(X2_11,identity) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( multiply(inverse(X5_6),sk_c10) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity )
| ( multiply(X4_12,identity) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_888,c_888,c_888,c_888,c_888,c_807]) ).
tff(c_1008,plain,
! [X4_12] :
( ( multiply(X4_12,identity) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_1007]) ).
tff(c_1911,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1153,c_1290,c_1153,c_1008]) ).
tff(c_1176,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1153,c_133]) ).
tff(c_1913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1911,c_1176]) ).
tff(c_1914,plain,
! [X5_6,X1_10,X2_11] :
( ( multiply(inverse(X5_6),sk_c10) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( multiply(X2_11,identity) != sk_c10 )
| ( inverse(X2_11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_1007]) ).
tff(c_34563,plain,
! [X5_6,X1_10,X2_11] :
( ( inverse(multiply(sk_c1,X5_6)) != identity )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( sk_c1 != X2_11 )
| ( inverse(X2_11) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2222,c_2541,c_2222,c_2222,c_2222,c_2575,c_4258,c_2222,c_1914]) ).
tff(c_34565,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_34563]) ).
tff(c_34567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34565,c_2235]) ).
tff(c_34568,plain,
! [X1_10,X5_6] :
( ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(multiply(sk_c1,X5_6)) != identity ) ),
inference(splitRight,[status(thm)],[c_34563]) ).
tff(c_34570,plain,
! [X5_245] : ( inverse(multiply(sk_c1,X5_245)) != identity ),
inference(splitLeft,[status(thm)],[c_34568]) ).
tff(c_34610,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_2575,c_34570]) ).
tff(c_34629,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2495,c_34610]) ).
tff(c_34632,plain,
! [X1_246] :
( ( inverse(X1_246) != sk_c1 )
| ( multiply(X1_246,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_34568]) ).
tff(c_34686,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_2144,c_34632]) ).
tff(c_34712,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2235,c_34686]) ).
tff(c_34714,plain,
multiply(sk_c2,sk_c3) != sk_c9,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_34740,plain,
inverse(sk_c5) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34714,c_62]) ).
tff(c_34799,plain,
! [X_247,Y_248,Z_249] : ( multiply(multiply(X_247,Y_248),Z_249) = multiply(X_247,multiply(Y_248,Z_249)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34847,plain,
! [Z_249] : ( multiply(sk_c10,multiply(sk_c1,Z_249)) = multiply(identity,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_34799]) ).
tff(c_34868,plain,
! [Z_250] : ( multiply(sk_c10,multiply(sk_c1,Z_250)) = Z_250 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34847]) ).
tff(c_34880,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_149,c_34868]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_34788,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34714,c_56]) ).
tff(c_58,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_34726,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34714,c_58]) ).
tff(c_34730,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34726,c_4]) ).
tff(c_34832,plain,
! [Z_249] : ( multiply(sk_c10,multiply(sk_c4,Z_249)) = multiply(identity,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_34730,c_34799]) ).
tff(c_35241,plain,
! [Z_262] : ( multiply(sk_c10,multiply(sk_c4,Z_262)) = Z_262 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34832]) ).
tff(c_35256,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34788,c_35241]) ).
tff(c_35527,plain,
! [Z_266] : ( multiply(sk_c1,multiply(sk_c9,Z_266)) = multiply(sk_c10,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_34799]) ).
tff(c_35563,plain,
multiply(sk_c10,sk_c10) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_155,c_35527]) ).
tff(c_35572,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_34880,c_35563]) ).
tff(c_34864,plain,
! [Z_249] : ( multiply(sk_c10,multiply(sk_c1,Z_249)) = Z_249 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34847]) ).
tff(c_35576,plain,
multiply(sk_c10,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35572,c_34864]) ).
tff(c_35582,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35256,c_35576]) ).
tff(c_35271,plain,
! [Z_263] : ( multiply(sk_c3,multiply(sk_c10,Z_263)) = multiply(sk_c9,Z_263) ),
inference(superposition,[status(thm),theory(equality)],[c_161,c_34799]) ).
tff(c_35292,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c3,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_34880,c_35271]) ).
tff(c_35312,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_155,c_35292]) ).
tff(c_60,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_34761,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34714,c_60]) ).
tff(c_35298,plain,
multiply(sk_c9,sk_c8) = multiply(sk_c3,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_34761,c_35271]) ).
tff(c_35503,plain,
multiply(sk_c9,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35312,c_35298]) ).
tff(c_35585,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35582,c_35582,c_35503]) ).
tff(c_64,plain,
( ( multiply(sk_c5,sk_c9) = sk_c10 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_34782,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34714,c_64]) ).
tff(c_35804,plain,
! [Z_270] : ( multiply(sk_c5,multiply(sk_c9,Z_270)) = multiply(sk_c10,Z_270) ),
inference(superposition,[status(thm),theory(equality)],[c_34782,c_34799]) ).
tff(c_35822,plain,
multiply(sk_c5,sk_c10) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_35585,c_35804]) ).
tff(c_35838,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_34880,c_35822]) ).
tff(c_34885,plain,
! [X5_6,X4_12,X1_10,X7_9,X2_11] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155,c_34761,c_104]) ).
tff(c_34947,plain,
! [X4_254] :
( ( multiply(X4_254,sk_c9) != sk_c10 )
| ( inverse(X4_254) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_34885]) ).
tff(c_34957,plain,
inverse(sk_c5) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34782,c_34947]) ).
tff(c_34972,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34740,c_34957]) ).
tff(c_34973,plain,
! [X5_6,X1_10,X2_11,X7_9] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_34885]) ).
tff(c_35212,plain,
! [X7_261] :
( ( multiply(inverse(X7_261),sk_c8) != sk_c9 )
| ( multiply(X7_261,inverse(X7_261)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_34973]) ).
tff(c_35216,plain,
( ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c9 ) ),
inference(superposition,[status(thm),theory(equality)],[c_34726,c_35212]) ).
tff(c_35230,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34788,c_34726,c_34761,c_35216]) ).
tff(c_35231,plain,
! [X2_11,X1_10,X5_6] :
( ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_34973]) ).
tff(c_35483,plain,
! [X5_265] :
( ( multiply(inverse(X5_265),sk_c10) != sk_c9 )
| ( multiply(X5_265,inverse(X5_265)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_35231]) ).
tff(c_35487,plain,
( ( multiply(sk_c10,sk_c10) != sk_c9 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c9 ) ),
inference(superposition,[status(thm),theory(equality)],[c_34726,c_35483]) ).
tff(c_35501,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34788,c_34726,c_34880,c_35487]) ).
tff(c_35502,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_35231]) ).
tff(c_35746,plain,
! [X2_269] :
( ( multiply(X2_269,sk_c9) != sk_c10 )
| ( inverse(X2_269) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_35502]) ).
tff(c_35766,plain,
inverse(sk_c5) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34782,c_35746]) ).
tff(c_35783,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34740,c_35766]) ).
tff(c_35895,plain,
! [X1_272] :
( ( inverse(X1_272) != sk_c10 )
| ( multiply(X1_272,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_35502]) ).
tff(c_35898,plain,
inverse(sk_c5) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35838,c_35895]) ).
tff(c_35933,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34740,c_35898]) ).
tff(c_35935,plain,
multiply(sk_c3,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_88,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_36008,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35935,c_88]) ).
tff(c_90,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_35947,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_35935,c_90]) ).
tff(c_35951,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35947,c_4]) ).
tff(c_36066,plain,
! [Z_275] : ( multiply(sk_c10,multiply(sk_c4,Z_275)) = multiply(identity,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_35951,c_36030]) ).
tff(c_36304,plain,
! [Z_282] : ( multiply(sk_c10,multiply(sk_c4,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36066]) ).
tff(c_36316,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36008,c_36304]) ).
tff(c_47855,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_47840,c_36316]) ).
tff(c_36078,plain,
! [Z_275] : ( multiply(sk_c10,multiply(sk_c1,Z_275)) = multiply(identity,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_36030]) ).
tff(c_36099,plain,
! [Z_276] : ( multiply(sk_c10,multiply(sk_c1,Z_276)) = Z_276 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36078]) ).
tff(c_36111,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_149,c_36099]) ).
tff(c_36327,plain,
! [Z_283] : ( multiply(sk_c1,multiply(sk_c9,Z_283)) = multiply(sk_c10,Z_283) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_36030]) ).
tff(c_36342,plain,
multiply(sk_c10,sk_c10) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_155,c_36327]) ).
tff(c_36346,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_36111,c_36342]) ).
tff(c_36095,plain,
! [Z_275] : ( multiply(sk_c10,multiply(sk_c1,Z_275)) = Z_275 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36078]) ).
tff(c_36350,plain,
multiply(sk_c10,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36346,c_36095]) ).
tff(c_36356,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36316,c_36350]) ).
tff(c_102,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_36017,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35935,c_102]) ).
tff(c_36048,plain,
! [Z_275] : ( multiply(sk_c7,multiply(sk_c8,Z_275)) = multiply(sk_c9,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_36017,c_36030]) ).
tff(c_48274,plain,
! [Z_385] : ( multiply(sk_c7,multiply(sk_c10,Z_385)) = Z_385 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47840,c_36356,c_36048]) ).
tff(c_48304,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_48274]) ).
tff(c_98,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_35995,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35935,c_98]) ).
tff(c_35934,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_35939,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35934,c_4]) ).
tff(c_36069,plain,
! [Z_275] : ( multiply(sk_c7,multiply(sk_c6,Z_275)) = multiply(identity,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_35939,c_36030]) ).
tff(c_36145,plain,
! [Z_278] : ( multiply(sk_c7,multiply(sk_c6,Z_278)) = Z_278 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36069]) ).
tff(c_36157,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35995,c_36145]) ).
tff(c_47856,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47840,c_36157]) ).
tff(c_48310,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_48304,c_47856]) ).
tff(c_48332,plain,
inverse(sk_c6) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_48310,c_35934]) ).
tff(c_47829,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47724]) ).
tff(c_48341,plain,
multiply(inverse(sk_c1),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_48332,c_47829]) ).
tff(c_48350,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_47855,c_133,c_48341]) ).
tff(c_48352,plain,
inverse(sk_c10) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_48350,c_48332]) ).
tff(c_94,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_35978,plain,
inverse(sk_c5) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_35935,c_94]) ).
tff(c_35982,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35978,c_4]) ).
tff(c_92,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_36003,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35935,c_92]) ).
tff(c_36054,plain,
! [Z_275] : ( multiply(sk_c10,multiply(sk_c8,Z_275)) = multiply(sk_c9,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_36003,c_36030]) ).
tff(c_48183,plain,
! [Z_384] : ( multiply(sk_c10,multiply(sk_c10,Z_384)) = Z_384 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47840,c_36356,c_36054]) ).
tff(c_48219,plain,
multiply(sk_c10,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_35982,c_48183]) ).
tff(c_48233,plain,
sk_c5 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_47855,c_48219]) ).
tff(c_48238,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_48233,c_35978]) ).
tff(c_48358,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_48352,c_48238]) ).
tff(c_48387,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_48358,c_133]) ).
tff(c_48375,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_48358,c_48350]) ).
tff(c_48347,plain,
multiply(sk_c1,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48332,c_4]) ).
tff(c_48396,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48375,c_48347]) ).
tff(c_36097,plain,
! [X_2,Z_275] : ( multiply(inverse(X_2),multiply(X_2,Z_275)) = Z_275 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36084]) ).
tff(c_48520,plain,
! [X_387,Z_388] : ( multiply(inverse(inverse(X_387)),Z_388) = multiply(X_387,Z_388) ),
inference(superposition,[status(thm),theory(equality)],[c_47724,c_36097]) ).
tff(c_48569,plain,
! [X_389] : ( multiply(X_389,identity) = X_389 ),
inference(superposition,[status(thm),theory(equality)],[c_48520,c_47829]) ).
tff(c_47832,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_47724]) ).
tff(c_48594,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48569,c_47832]) ).
tff(c_48561,plain,
! [X_387] : ( multiply(X_387,inverse(X_387)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_48520]) ).
tff(c_36118,plain,
! [Z_5] : ( multiply(sk_c10,multiply(sk_c10,Z_5)) = multiply(sk_c9,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_36111,c_6]) ).
tff(c_48462,plain,
! [Z_5] : ( multiply(sk_c1,multiply(sk_c1,Z_5)) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_48358,c_48358,c_2,c_47840,c_36118]) ).
tff(c_48527,plain,
! [X_387] : ( multiply(X_387,identity) = X_387 ),
inference(superposition,[status(thm),theory(equality)],[c_48520,c_47829]) ).
tff(c_48837,plain,
! [X_392,Y_393,Z_394] : ( multiply(inverse(multiply(X_392,Y_393)),multiply(X_392,multiply(Y_393,Z_394))) = Z_394 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_47724]) ).
tff(c_48873,plain,
! [X_392,X_387] : ( multiply(inverse(multiply(X_392,X_387)),multiply(X_392,identity)) = inverse(X_387) ),
inference(superposition,[status(thm),theory(equality)],[c_48561,c_48837]) ).
tff(c_51566,plain,
! [X_418,X_419] : ( multiply(inverse(multiply(X_418,X_419)),X_418) = inverse(X_419) ),
inference(demodulation,[status(thm),theory(equality)],[c_48527,c_48873]) ).
tff(c_51755,plain,
! [Z_5] : ( multiply(inverse(Z_5),sk_c1) = inverse(multiply(sk_c1,Z_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_48462,c_51566]) ).
tff(c_36415,plain,
! [X_285,Z_286] : ( multiply(inverse(X_285),multiply(X_285,Z_286)) = Z_286 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36084]) ).
tff(c_37211,plain,
! [X_294,Z_295] : ( multiply(inverse(inverse(X_294)),Z_295) = multiply(X_294,Z_295) ),
inference(superposition,[status(thm),theory(equality)],[c_36415,c_36097]) ).
tff(c_36520,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36415]) ).
tff(c_37260,plain,
! [X_296] : ( multiply(X_296,identity) = X_296 ),
inference(superposition,[status(thm),theory(equality)],[c_37211,c_36520]) ).
tff(c_36523,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_36415]) ).
tff(c_37285,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37260,c_36523]) ).
tff(c_37252,plain,
! [X_294] : ( multiply(X_294,inverse(X_294)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37211]) ).
tff(c_36460,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36134,c_36415]) ).
tff(c_36531,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36460]) ).
tff(c_36546,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36531,c_36316]) ).
tff(c_36965,plain,
! [Z_292] : ( multiply(sk_c7,multiply(sk_c10,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36531,c_36356,c_36048]) ).
tff(c_36995,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_36965]) ).
tff(c_36547,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36531,c_36157]) ).
tff(c_37001,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_36995,c_36547]) ).
tff(c_37023,plain,
inverse(sk_c6) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_37001,c_35934]) ).
tff(c_37032,plain,
multiply(inverse(sk_c1),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37023,c_36520]) ).
tff(c_37041,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36546,c_133,c_37032]) ).
tff(c_37043,plain,
inverse(sk_c10) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_37041,c_37023]) ).
tff(c_36874,plain,
! [Z_291] : ( multiply(sk_c10,multiply(sk_c10,Z_291)) = Z_291 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36531,c_36356,c_36054]) ).
tff(c_36910,plain,
multiply(sk_c10,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_35982,c_36874]) ).
tff(c_36924,plain,
sk_c5 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36546,c_36910]) ).
tff(c_36929,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36924,c_35978]) ).
tff(c_37049,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_37043,c_36929]) ).
tff(c_37153,plain,
! [Z_5] : ( multiply(sk_c1,multiply(sk_c1,Z_5)) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_37049,c_37049,c_2,c_36531,c_36118]) ).
tff(c_37218,plain,
! [X_294] : ( multiply(X_294,identity) = X_294 ),
inference(superposition,[status(thm),theory(equality)],[c_37211,c_36520]) ).
tff(c_37528,plain,
! [X_299,Y_300,Z_301] : ( multiply(inverse(multiply(X_299,Y_300)),multiply(X_299,multiply(Y_300,Z_301))) = Z_301 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_36415]) ).
tff(c_37564,plain,
! [X_299,X_294] : ( multiply(inverse(multiply(X_299,X_294)),multiply(X_299,identity)) = inverse(X_294) ),
inference(superposition,[status(thm),theory(equality)],[c_37252,c_37528]) ).
tff(c_40257,plain,
! [X_325,X_326] : ( multiply(inverse(multiply(X_325,X_326)),X_325) = inverse(X_326) ),
inference(demodulation,[status(thm),theory(equality)],[c_37218,c_37564]) ).
tff(c_40446,plain,
! [Z_5] : ( multiply(inverse(Z_5),sk_c1) = inverse(multiply(sk_c1,Z_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_37153,c_40257]) ).
tff(c_96,plain,
( ( multiply(sk_c5,sk_c9) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_36024,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_35935,c_96]) ).
tff(c_36162,plain,
! [X5_6,X4_12,X1_10,X7_9,X2_11] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155,c_36003,c_104]) ).
tff(c_36263,plain,
! [X4_281] :
( ( multiply(X4_281,sk_c9) != sk_c10 )
| ( inverse(X4_281) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_36162]) ).
tff(c_36279,plain,
inverse(sk_c5) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36024,c_36263]) ).
tff(c_36295,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35978,c_36279]) ).
tff(c_36296,plain,
! [X5_6,X1_10,X2_11,X7_9] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_36162]) ).
tff(c_36396,plain,
! [X5_6,X1_10,X2_11,X7_9] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(inverse(X7_9),sk_c10) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36356,c_36296]) ).
tff(c_36397,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c10) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_36396]) ).
tff(c_47660,plain,
! [X7_376] : ( inverse(multiply(sk_c1,X7_376)) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_37252,c_36531,c_40446,c_37049,c_36531,c_36397]) ).
tff(c_47688,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_37252,c_47660]) ).
tff(c_47705,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37285,c_47688]) ).
tff(c_47706,plain,
! [X2_11,X1_10,X5_6] :
( ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_36396]) ).
tff(c_188563,plain,
! [X2_11,X1_10,X5_6] :
( ( sk_c1 != X2_11 )
| ( inverse(X2_11) != sk_c1 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(multiply(sk_c1,X5_6)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48561,c_47840,c_51755,c_48358,c_47840,c_48358,c_47840,c_48358,c_48358,c_48527,c_48358,c_47840,c_47706]) ).
tff(c_188565,plain,
! [X5_756] : ( inverse(multiply(sk_c1,X5_756)) != identity ),
inference(splitLeft,[status(thm)],[c_188563]) ).
tff(c_188646,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_48561,c_188565]) ).
tff(c_188674,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48594,c_188646]) ).
tff(c_188675,plain,
! [X2_11,X1_10] :
( ( sk_c1 != X2_11 )
| ( inverse(X2_11) != sk_c1 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_188563]) ).
tff(c_188677,plain,
! [X1_757] :
( ( inverse(X1_757) != sk_c1 )
| ( multiply(X1_757,sk_c1) != identity ) ),
inference(splitLeft,[status(thm)],[c_188675]) ).
tff(c_188791,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_48396,c_188677]) ).
tff(c_188832,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48387,c_188791]) ).
tff(c_191608,plain,
inverse(sk_c1) != sk_c1,
inference(splitRight,[status(thm)],[c_188675]) ).
tff(c_191610,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191608,c_48387]) ).
tff(c_191612,plain,
multiply(sk_c2,sk_c3) != sk_c9,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_191639,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_191612,c_56]) ).
tff(c_191678,plain,
! [X_761,Y_762,Z_763] : ( multiply(multiply(X_761,Y_762),Z_763) = multiply(X_761,multiply(Y_762,Z_763)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_191711,plain,
! [Z_763] : ( multiply(sk_c10,multiply(sk_c4,Z_763)) = multiply(identity,Z_763) ),
inference(superposition,[status(thm),theory(equality)],[c_35951,c_191678]) ).
tff(c_192005,plain,
! [Z_775] : ( multiply(sk_c10,multiply(sk_c4,Z_775)) = Z_775 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_191711]) ).
tff(c_192017,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_191639,c_192005]) ).
tff(c_191723,plain,
! [Z_763] : ( multiply(sk_c10,multiply(sk_c1,Z_763)) = multiply(identity,Z_763) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_191678]) ).
tff(c_191744,plain,
! [Z_764] : ( multiply(sk_c10,multiply(sk_c1,Z_764)) = Z_764 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_191723]) ).
tff(c_191756,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_149,c_191744]) ).
tff(c_191961,plain,
! [Z_774] : ( multiply(sk_c1,multiply(sk_c9,Z_774)) = multiply(sk_c10,Z_774) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_191678]) ).
tff(c_191976,plain,
multiply(sk_c10,sk_c10) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_155,c_191961]) ).
tff(c_191980,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_191756,c_191976]) ).
tff(c_191740,plain,
! [Z_763] : ( multiply(sk_c10,multiply(sk_c1,Z_763)) = Z_763 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_191723]) ).
tff(c_191984,plain,
multiply(sk_c10,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_191980,c_191740]) ).
tff(c_192021,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_192017,c_191984]) ).
tff(c_192158,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_192021,c_191980]) ).
tff(c_191611,plain,
inverse(sk_c5) = sk_c10,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_191666,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_191612,c_64]) ).
tff(c_191634,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_191612,c_60]) ).
tff(c_191768,plain,
! [X5_6,X4_12,X1_10,X7_9,X2_11] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155,c_191634,c_104]) ).
tff(c_191884,plain,
! [X4_770] :
( ( multiply(X4_770,sk_c9) != sk_c10 )
| ( inverse(X4_770) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_191768]) ).
tff(c_191897,plain,
inverse(sk_c5) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_191666,c_191884]) ).
tff(c_191913,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_191611,c_191897]) ).
tff(c_191914,plain,
! [X5_6,X1_10,X2_11,X7_9] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_191768]) ).
tff(c_192029,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_191914]) ).
tff(c_192138,plain,
! [X7_778] :
( ( multiply(inverse(X7_778),sk_c10) != sk_c9 )
| ( multiply(X7_778,inverse(X7_778)) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192021,c_192029]) ).
tff(c_192142,plain,
( ( multiply(sk_c10,sk_c10) != sk_c9 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c9 ) ),
inference(superposition,[status(thm),theory(equality)],[c_35947,c_192138]) ).
tff(c_192156,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_191639,c_35947,c_191756,c_192142]) ).
tff(c_192157,plain,
! [X2_11,X1_10,X5_6] :
( ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_191914]) ).
tff(c_192372,plain,
! [X5_783] :
( ( multiply(inverse(X5_783),sk_c10) != sk_c9 )
| ( multiply(X5_783,inverse(X5_783)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_192157]) ).
tff(c_192374,plain,
( ( multiply(sk_c10,sk_c10) != sk_c9 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c9 ) ),
inference(superposition,[status(thm),theory(equality)],[c_35947,c_192372]) ).
tff(c_192386,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_191639,c_35947,c_191756,c_192374]) ).
tff(c_192387,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_192157]) ).
tff(c_192683,plain,
! [X2_789] :
( ( multiply(X2_789,sk_c9) != sk_c10 )
| ( inverse(X2_789) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_192387]) ).
tff(c_192704,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_149,c_192683]) ).
tff(c_192719,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_133,c_192704]) ).
tff(c_192909,plain,
! [X1_793] :
( ( inverse(X1_793) != sk_c10 )
| ( multiply(X1_793,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_192387]) ).
tff(c_192923,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_192158,c_192909]) ).
tff(c_192945,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_133,c_192923]) ).
tff(c_192947,plain,
multiply(sk_c9,sk_c10) != sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_8,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c9,sk_c10) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_193851,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_192947,c_8]) ).
tff(c_192972,plain,
multiply(sk_c2,sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_193048,plain,
! [X_794,Y_795,Z_796] : ( multiply(multiply(X_794,Y_795),Z_796) = multiply(X_794,multiply(Y_795,Z_796)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_193099,plain,
! [Z_796] : ( multiply(sk_c3,multiply(sk_c2,Z_796)) = multiply(identity,Z_796) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_193048]) ).
tff(c_193142,plain,
! [Z_798] : ( multiply(sk_c3,multiply(sk_c2,Z_798)) = Z_798 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_193099]) ).
tff(c_193154,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_192972,c_193142]) ).
tff(c_193102,plain,
! [X_2,Z_796] : ( multiply(inverse(X_2),multiply(X_2,Z_796)) = multiply(identity,Z_796) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_193048]) ).
tff(c_193244,plain,
! [X_803,Z_804] : ( multiply(inverse(X_803),multiply(X_803,Z_804)) = Z_804 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_193102]) ).
tff(c_193280,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_193154,c_193244]) ).
tff(c_193359,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_193280]) ).
tff(c_12,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c9,sk_c10) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_193038,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_192947,c_12]) ).
tff(c_192960,plain,
multiply(sk_c3,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_90]) ).
tff(c_193370,plain,
! [Z_805] : ( multiply(sk_c3,multiply(sk_c10,Z_805)) = multiply(sk_c9,Z_805) ),
inference(superposition,[status(thm),theory(equality)],[c_192960,c_193048]) ).
tff(c_193400,plain,
multiply(sk_c9,sk_c8) = multiply(sk_c3,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_193038,c_193370]) ).
tff(c_193415,plain,
multiply(sk_c9,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_193154,c_193400]) ).
tff(c_193476,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_193359,c_193415]) ).
tff(c_193429,plain,
multiply(identity,sk_c10) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_193359,c_192947]) ).
tff(c_193433,plain,
sk_c8 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_193429]) ).
tff(c_193477,plain,
sk_c3 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_193476,c_193433]) ).
tff(c_193096,plain,
! [Z_796] : ( multiply(sk_c10,multiply(sk_c1,Z_796)) = multiply(identity,Z_796) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_193048]) ).
tff(c_193117,plain,
! [Z_797] : ( multiply(sk_c10,multiply(sk_c1,Z_797)) = Z_797 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_193096]) ).
tff(c_193129,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_149,c_193117]) ).
tff(c_193394,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c3,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_193129,c_193370]) ).
tff(c_193414,plain,
multiply(sk_c9,sk_c10) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_193154,c_193394]) ).
tff(c_193791,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_193359,c_193414]) ).
tff(c_193792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193477,c_193791]) ).
tff(c_193793,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_193798,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_193793,c_4]) ).
tff(c_193873,plain,
! [X_811,Y_812,Z_813] : ( multiply(multiply(X_811,Y_812),Z_813) = multiply(X_811,multiply(Y_812,Z_813)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_193906,plain,
! [Z_813] : ( multiply(sk_c10,multiply(sk_c4,Z_813)) = multiply(identity,Z_813) ),
inference(superposition,[status(thm),theory(equality)],[c_193798,c_193873]) ).
tff(c_194000,plain,
! [Z_817] : ( multiply(sk_c10,multiply(sk_c4,Z_817)) = Z_817 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_193906]) ).
tff(c_194012,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_193851,c_194000]) ).
tff(c_193924,plain,
! [X_2,Z_813] : ( multiply(inverse(X_2),multiply(X_2,Z_813)) = multiply(identity,Z_813) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_193873]) ).
tff(c_194023,plain,
! [X_818,Z_819] : ( multiply(inverse(X_818),multiply(X_818,Z_819)) = Z_819 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_193924]) ).
tff(c_194041,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_194012,c_194023]) ).
tff(c_194123,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_194041]) ).
tff(c_194133,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_194123,c_194012]) ).
tff(c_193915,plain,
! [Z_813] : ( multiply(sk_c1,multiply(sk_c9,Z_813)) = multiply(sk_c10,Z_813) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_193873]) ).
tff(c_194233,plain,
! [Z_821] : ( multiply(sk_c10,Z_821) = multiply(sk_c1,Z_821) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_194123,c_193915]) ).
tff(c_194293,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_137,c_194233]) ).
tff(c_193937,plain,
! [X_2,Z_813] : ( multiply(inverse(X_2),multiply(X_2,Z_813)) = Z_813 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_193924]) ).
tff(c_194414,plain,
multiply(inverse(sk_c1),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_194293,c_193937]) ).
tff(c_194423,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_194133,c_133,c_194414]) ).
tff(c_194143,plain,
multiply(identity,sk_c10) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_194123,c_192947]) ).
tff(c_194145,plain,
sk_c8 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_194143]) ).
tff(c_194434,plain,
sk_c8 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_194423,c_194145]) ).
tff(c_194278,plain,
multiply(sk_c1,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_194133,c_194233]) ).
tff(c_194542,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_194423,c_194278]) ).
tff(c_194442,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_194423,c_133]) ).
tff(c_193794,plain,
multiply(sk_c2,sk_c3) != sk_c9,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_193835,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_193794,c_60]) ).
tff(c_194139,plain,
multiply(sk_c10,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_194123,c_193835]) ).
tff(c_194275,plain,
multiply(sk_c1,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_194139,c_194233]) ).
tff(c_194599,plain,
multiply(inverse(sk_c1),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_194275,c_193937]) ).
tff(c_194605,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_194542,c_194442,c_194599]) ).
tff(c_194607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194434,c_194605]) ).
tff(c_194608,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_194613,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_194608,c_4]) ).
tff(c_194631,plain,
multiply(sk_c2,sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_194701,plain,
! [X_825,Y_826,Z_827] : ( multiply(multiply(X_825,Y_826),Z_827) = multiply(X_825,multiply(Y_826,Z_827)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_194749,plain,
! [Z_827] : ( multiply(sk_c3,multiply(sk_c2,Z_827)) = multiply(identity,Z_827) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_194701]) ).
tff(c_194790,plain,
! [Z_829] : ( multiply(sk_c3,multiply(sk_c2,Z_829)) = Z_829 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_194749]) ).
tff(c_194802,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_194631,c_194790]) ).
tff(c_194752,plain,
! [X_2,Z_827] : ( multiply(inverse(X_2),multiply(X_2,Z_827)) = multiply(identity,Z_827) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_194701]) ).
tff(c_194894,plain,
! [X_834,Z_835] : ( multiply(inverse(X_834),multiply(X_834,Z_835)) = Z_835 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_194752]) ).
tff(c_194930,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_194802,c_194894]) ).
tff(c_195006,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_194930]) ).
tff(c_194609,plain,
multiply(sk_c3,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_194674,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_194609,c_88]) ).
tff(c_194722,plain,
! [Z_827] : ( multiply(sk_c4,multiply(sk_c10,Z_827)) = multiply(sk_c9,Z_827) ),
inference(superposition,[status(thm),theory(equality)],[c_194674,c_194701]) ).
tff(c_195328,plain,
! [Z_840] : ( multiply(sk_c4,multiply(sk_c10,Z_840)) = Z_840 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_195006,c_194722]) ).
tff(c_195367,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_195328]) ).
tff(c_194681,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_192947,c_12]) ).
tff(c_195023,plain,
multiply(sk_c10,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_195006,c_194681]) ).
tff(c_195346,plain,
multiply(sk_c4,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_195023,c_195328]) ).
tff(c_195413,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_195367,c_195346]) ).
tff(c_195029,plain,
multiply(identity,sk_c10) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_195006,c_192947]) ).
tff(c_195032,plain,
sk_c8 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_195029]) ).
tff(c_195433,plain,
sk_c10 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_195413,c_195032]) ).
tff(c_195364,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_194613,c_195328]) ).
tff(c_195440,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_195367,c_195364]) ).
tff(c_195441,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_195440,c_195367]) ).
tff(c_195030,plain,
multiply(sk_c1,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_195006,c_149]) ).
tff(c_195556,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_195441,c_195030]) ).
tff(c_195558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_195433,c_195556]) ).
tff(c_195560,plain,
multiply(sk_c2,sk_c3) != sk_c9,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_66,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( multiply(sk_c2,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_195588,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_195560,c_66]) ).
tff(c_192946,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_192951,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_192946,c_4]) ).
tff(c_195632,plain,
! [X_844,Y_845,Z_846] : ( multiply(multiply(X_844,Y_845),Z_846) = multiply(X_844,multiply(Y_845,Z_846)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_195668,plain,
! [Z_846] : ( multiply(sk_c7,multiply(sk_c6,Z_846)) = multiply(identity,Z_846) ),
inference(superposition,[status(thm),theory(equality)],[c_192951,c_195632]) ).
tff(c_195789,plain,
! [Z_852] : ( multiply(sk_c7,multiply(sk_c6,Z_852)) = Z_852 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_195668]) ).
tff(c_195801,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_195588,c_195789]) ).
tff(c_195680,plain,
! [X_2,Z_846] : ( multiply(inverse(X_2),multiply(X_2,Z_846)) = multiply(identity,Z_846) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_195632]) ).
tff(c_195812,plain,
! [X_853,Z_854] : ( multiply(inverse(X_853),multiply(X_853,Z_854)) = Z_854 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_195680]) ).
tff(c_195830,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_195801,c_195812]) ).
tff(c_195915,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_195830]) ).
tff(c_195610,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_194609,c_88]) ).
tff(c_195647,plain,
! [Z_846] : ( multiply(sk_c4,multiply(sk_c10,Z_846)) = multiply(sk_c9,Z_846) ),
inference(superposition,[status(thm),theory(equality)],[c_195610,c_195632]) ).
tff(c_195948,plain,
! [Z_855] : ( multiply(sk_c4,multiply(sk_c10,Z_855)) = Z_855 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_195915,c_195647]) ).
tff(c_195978,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_194613,c_195948]) ).
tff(c_195605,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_192947,c_12]) ).
tff(c_195932,plain,
multiply(sk_c10,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_195915,c_195605]) ).
tff(c_195947,plain,
! [Z_846] : ( multiply(sk_c4,multiply(sk_c10,Z_846)) = Z_846 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_195915,c_195647]) ).
tff(c_196119,plain,
multiply(sk_c4,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_195932,c_195947]) ).
tff(c_196220,plain,
sk_c8 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_195978,c_196119]) ).
tff(c_195938,plain,
multiply(identity,sk_c10) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_195915,c_192947]) ).
tff(c_195941,plain,
sk_c8 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_195938]) ).
tff(c_196240,plain,
sk_c4 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_196220,c_195941]) ).
tff(c_195674,plain,
! [Z_846] : ( multiply(sk_c10,multiply(sk_c1,Z_846)) = multiply(identity,Z_846) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_195632]) ).
tff(c_195695,plain,
! [Z_847] : ( multiply(sk_c10,multiply(sk_c1,Z_847)) = Z_847 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_195674]) ).
tff(c_195707,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_149,c_195695]) ).
tff(c_195930,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_195915,c_195707]) ).
tff(c_196069,plain,
multiply(sk_c4,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_195930,c_195947]) ).
tff(c_196325,plain,
sk_c4 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_196069,c_195978]) ).
tff(c_196327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196240,c_196325]) ).
tff(c_196329,plain,
multiply(sk_c1,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_199433,plain,
! [X_920,Y_921,Z_922] : ( multiply(multiply(X_920,Y_921),Z_922) = multiply(X_920,multiply(Y_921,Z_922)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_199484,plain,
! [X_2,Z_922] : ( multiply(inverse(X_2),multiply(X_2,Z_922)) = multiply(identity,Z_922) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_199433]) ).
tff(c_199497,plain,
! [X_2,Z_922] : ( multiply(inverse(X_2),multiply(X_2,Z_922)) = Z_922 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199484]) ).
tff(c_199384,plain,
multiply(sk_c9,sk_c10) = sk_c8,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_199926,plain,
! [Z_938] : ( multiply(sk_c9,multiply(sk_c10,Z_938)) = multiply(sk_c8,Z_938) ),
inference(superposition,[status(thm),theory(equality)],[c_199384,c_199433]) ).
tff(c_199962,plain,
multiply(sk_c9,identity) = multiply(sk_c8,sk_c1),
inference(superposition,[status(thm),theory(equality)],[c_137,c_199926]) ).
tff(c_40,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_198514,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_196329,c_40]) ).
tff(c_196328,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_196333,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_196328,c_4]) ).
tff(c_198549,plain,
! [X_902,Y_903,Z_904] : ( multiply(multiply(X_902,Y_903),Z_904) = multiply(X_902,multiply(Y_903,Z_904)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_198588,plain,
! [Z_904] : ( multiply(sk_c10,multiply(sk_c4,Z_904)) = multiply(identity,Z_904) ),
inference(superposition,[status(thm),theory(equality)],[c_196333,c_198549]) ).
tff(c_198640,plain,
! [Z_907] : ( multiply(sk_c10,multiply(sk_c4,Z_907)) = Z_907 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_198588]) ).
tff(c_198652,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_198514,c_198640]) ).
tff(c_198597,plain,
! [X_2,Z_904] : ( multiply(inverse(X_2),multiply(X_2,Z_904)) = multiply(identity,Z_904) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_198549]) ).
tff(c_198755,plain,
! [X_911,Z_912] : ( multiply(inverse(X_911),multiply(X_911,Z_912)) = Z_912 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_198597]) ).
tff(c_198791,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_198652,c_198755]) ).
tff(c_198863,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_198791]) ).
tff(c_198570,plain,
! [Z_904] : ( multiply(sk_c4,multiply(sk_c10,Z_904)) = multiply(sk_c9,Z_904) ),
inference(superposition,[status(thm),theory(equality)],[c_198514,c_198549]) ).
tff(c_198957,plain,
! [Z_914] : ( multiply(sk_c4,multiply(sk_c10,Z_914)) = Z_914 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_198863,c_198570]) ).
tff(c_198993,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_198957]) ).
tff(c_198990,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_196333,c_198957]) ).
tff(c_199202,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_198993,c_198990]) ).
tff(c_199219,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_199202,c_198993]) ).
tff(c_198885,plain,
multiply(sk_c1,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_198863,c_196329]) ).
tff(c_199233,plain,
sk_c10 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_199219,c_198885]) ).
tff(c_196428,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_196329,c_40]) ).
tff(c_46,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_196379,plain,
inverse(sk_c5) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_196329,c_46]) ).
tff(c_48,plain,
( ( multiply(sk_c5,sk_c9) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_196414,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_196329,c_48]) ).
tff(c_196383,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_196379,c_4]) ).
tff(c_196436,plain,
! [X_861,Y_862,Z_863] : ( multiply(multiply(X_861,Y_862),Z_863) = multiply(X_861,multiply(Y_862,Z_863)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_196466,plain,
! [Z_863] : ( multiply(sk_c10,multiply(sk_c5,Z_863)) = multiply(identity,Z_863) ),
inference(superposition,[status(thm),theory(equality)],[c_196383,c_196436]) ).
tff(c_196700,plain,
! [Z_871] : ( multiply(sk_c10,multiply(sk_c5,Z_871)) = Z_871 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_196466]) ).
tff(c_196712,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_196414,c_196700]) ).
tff(c_50,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_196422,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_196329,c_50]) ).
tff(c_52,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_196354,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_196329,c_52]) ).
tff(c_54,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_196406,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_196329,c_54]) ).
tff(c_196349,plain,
multiply(sk_c9,sk_c10) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_44,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_196400,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_196329,c_44]) ).
tff(c_196535,plain,
! [X5_6,X4_12,X1_10,X7_9,X2_11] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_196349,c_196400,c_104]) ).
tff(c_196662,plain,
! [X4_870] :
( ( multiply(X4_870,sk_c9) != sk_c10 )
| ( inverse(X4_870) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_196535]) ).
tff(c_196678,plain,
inverse(sk_c5) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_196414,c_196662]) ).
tff(c_196691,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196379,c_196678]) ).
tff(c_196692,plain,
! [X5_6,X1_10,X2_11,X7_9] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_196535]) ).
tff(c_196916,plain,
! [X7_876] :
( ( multiply(inverse(X7_876),sk_c8) != sk_c9 )
| ( multiply(X7_876,inverse(X7_876)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_196692]) ).
tff(c_196920,plain,
( ( multiply(sk_c7,sk_c8) != sk_c9 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c9 ) ),
inference(superposition,[status(thm),theory(equality)],[c_196354,c_196916]) ).
tff(c_196934,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196422,c_196354,c_196406,c_196920]) ).
tff(c_196935,plain,
! [X2_11,X1_10,X5_6] :
( ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_196692]) ).
tff(c_197150,plain,
! [X5_879] :
( ( multiply(inverse(X5_879),sk_c10) != sk_c9 )
| ( multiply(X5_879,inverse(X5_879)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_196935]) ).
tff(c_197156,plain,
( ( multiply(sk_c10,sk_c10) != sk_c9 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c9 ) ),
inference(superposition,[status(thm),theory(equality)],[c_196328,c_197150]) ).
tff(c_197170,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196428,c_196328,c_196712,c_197156]) ).
tff(c_197171,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_196935]) ).
tff(c_197396,plain,
! [X2_882] :
( ( multiply(X2_882,sk_c9) != sk_c10 )
| ( inverse(X2_882) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_197171]) ).
tff(c_197412,plain,
inverse(sk_c5) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_196414,c_197396]) ).
tff(c_197425,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196379,c_197412]) ).
tff(c_197534,plain,
! [X1_884] :
( ( inverse(X1_884) != sk_c10 )
| ( multiply(X1_884,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_197171]) ).
tff(c_197544,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_196428,c_197534]) ).
tff(c_197557,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196328,c_197544]) ).
tff(c_197559,plain,
multiply(sk_c9,sk_c10) != sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_197605,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_197559,c_8]) ).
tff(c_197650,plain,
! [X_885,Y_886,Z_887] : ( multiply(multiply(X_885,Y_886),Z_887) = multiply(X_885,multiply(Y_886,Z_887)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_197692,plain,
! [Z_887] : ( multiply(sk_c10,multiply(sk_c4,Z_887)) = multiply(identity,Z_887) ),
inference(superposition,[status(thm),theory(equality)],[c_196333,c_197650]) ).
tff(c_197754,plain,
! [Z_890] : ( multiply(sk_c10,multiply(sk_c4,Z_890)) = Z_890 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_197692]) ).
tff(c_197766,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_197605,c_197754]) ).
tff(c_197701,plain,
! [X_2,Z_887] : ( multiply(inverse(X_2),multiply(X_2,Z_887)) = multiply(identity,Z_887) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_197650]) ).
tff(c_197793,plain,
! [X_892,Z_893] : ( multiply(inverse(X_892),multiply(X_892,Z_893)) = Z_893 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_197701]) ).
tff(c_197814,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_197766,c_197793]) ).
tff(c_197890,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_197814]) ).
tff(c_197910,plain,
multiply(sk_c1,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_197890,c_196329]) ).
tff(c_196344,plain,
multiply(sk_c3,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_100]) ).
tff(c_197689,plain,
! [Z_887] : ( multiply(sk_c3,multiply(sk_c10,Z_887)) = multiply(sk_c9,Z_887) ),
inference(superposition,[status(thm),theory(equality)],[c_196344,c_197650]) ).
tff(c_198162,plain,
! [Z_897] : ( multiply(sk_c3,multiply(sk_c10,Z_897)) = Z_897 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_197890,c_197689]) ).
tff(c_198204,plain,
multiply(sk_c3,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_198162]) ).
tff(c_197580,plain,
multiply(sk_c2,sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_197698,plain,
! [Z_887] : ( multiply(sk_c3,multiply(sk_c2,Z_887)) = multiply(identity,Z_887) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_197650]) ).
tff(c_197731,plain,
! [Z_889] : ( multiply(sk_c3,multiply(sk_c2,Z_889)) = Z_889 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_197698]) ).
tff(c_197743,plain,
multiply(sk_c3,sk_c9) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_197580,c_197731]) ).
tff(c_197901,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_197890,c_197743]) ).
tff(c_198375,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_198204,c_197901]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( multiply(sk_c9,sk_c10) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_197588,plain,
inverse(sk_c5) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_197559,c_14]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c9) = sk_c10 )
| ( multiply(sk_c9,sk_c10) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_197622,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_197559,c_16]) ).
tff(c_197835,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_197622,c_197793]) ).
tff(c_197893,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_197588,c_197835]) ).
tff(c_197966,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_197890,c_197893]) ).
tff(c_198186,plain,
multiply(sk_c3,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_197966,c_198162]) ).
tff(c_198474,plain,
multiply(sk_c1,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_198375,c_198186]) ).
tff(c_198475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_197910,c_198474]) ).
tff(c_198476,plain,
inverse(sk_c5) = sk_c10,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_198481,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_198476,c_4]) ).
tff(c_198987,plain,
multiply(sk_c4,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_198481,c_198957]) ).
tff(c_199329,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_199219,c_199202,c_198987]) ).
tff(c_198528,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_197559,c_16]) ).
tff(c_198877,plain,
multiply(sk_c5,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_198863,c_198528]) ).
tff(c_199331,plain,
multiply(sk_c1,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_199329,c_198877]) ).
tff(c_199334,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_199219,c_199331]) ).
tff(c_199336,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199233,c_199334]) ).
tff(c_199338,plain,
multiply(sk_c3,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_199366,plain,
inverse(sk_c5) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_199338,c_94]) ).
tff(c_199370,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_199366,c_4]) ).
tff(c_199956,plain,
multiply(sk_c9,identity) = multiply(sk_c8,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_199370,c_199926]) ).
tff(c_199998,plain,
multiply(sk_c8,sk_c5) = multiply(sk_c8,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_199962,c_199956]) ).
tff(c_200017,plain,
! [X_939,Z_940] : ( multiply(inverse(X_939),multiply(X_939,Z_940)) = Z_940 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199484]) ).
tff(c_200038,plain,
multiply(inverse(sk_c8),multiply(sk_c8,sk_c1)) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_199998,c_200017]) ).
tff(c_200154,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_199497,c_200038]) ).
tff(c_199421,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_196329,c_48]) ).
tff(c_200220,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_200154,c_199421]) ).
tff(c_200225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196329,c_200220]) ).
tff(c_200226,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_200277,plain,
! [X_942,Y_943,Z_944] : ( multiply(multiply(X_942,Y_943),Z_944) = multiply(X_942,multiply(Y_943,Z_944)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_200316,plain,
! [Z_944] : ( multiply(sk_c10,multiply(sk_c4,Z_944)) = multiply(identity,Z_944) ),
inference(superposition,[status(thm),theory(equality)],[c_196333,c_200277]) ).
tff(c_200434,plain,
! [Z_949] : ( multiply(sk_c10,multiply(sk_c4,Z_949)) = Z_949 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_200316]) ).
tff(c_200446,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_200226,c_200434]) ).
tff(c_200325,plain,
! [X_2,Z_944] : ( multiply(inverse(X_2),multiply(X_2,Z_944)) = multiply(identity,Z_944) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_200277]) ).
tff(c_200480,plain,
! [X_951,Z_952] : ( multiply(inverse(X_951),multiply(X_951,Z_952)) = Z_952 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_200325]) ).
tff(c_200504,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_200446,c_200480]) ).
tff(c_200589,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_200504]) ).
tff(c_200304,plain,
! [Z_944] : ( multiply(sk_c4,multiply(sk_c10,Z_944)) = multiply(sk_c9,Z_944) ),
inference(superposition,[status(thm),theory(equality)],[c_200226,c_200277]) ).
tff(c_200847,plain,
! [Z_956] : ( multiply(sk_c4,multiply(sk_c10,Z_956)) = Z_956 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_200589,c_200304]) ).
tff(c_200889,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_200847]) ).
tff(c_200886,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_196333,c_200847]) ).
tff(c_200966,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_200889,c_200886]) ).
tff(c_200967,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_200966,c_200889]) ).
tff(c_200883,plain,
multiply(sk_c4,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_199370,c_200847]) ).
tff(c_200980,plain,
multiply(sk_c1,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_200966,c_200883]) ).
tff(c_201065,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_200967,c_200980]) ).
tff(c_200617,plain,
multiply(sk_c1,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_200589,c_196329]) ).
tff(c_200981,plain,
sk_c5 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_200980,c_200617]) ).
tff(c_201112,plain,
sk_c10 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_201065,c_200981]) ).
tff(c_200227,plain,
multiply(sk_c9,sk_c10) != sk_c8,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_200242,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_200227,c_16]) ).
tff(c_200611,plain,
multiply(sk_c5,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_200589,c_200242]) ).
tff(c_201113,plain,
multiply(sk_c1,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_201065,c_200611]) ).
tff(c_201116,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_200967,c_201113]) ).
tff(c_201127,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201112,c_201116]) ).
tff(c_201128,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_201129,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_201175,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_201129,c_24]) ).
tff(c_34,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_201194,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_201129,c_34]) ).
tff(c_36,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_201153,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_201129,c_36]) ).
tff(c_201133,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_201128,c_4]) ).
tff(c_201229,plain,
! [X_960,Y_961,Z_962] : ( multiply(multiply(X_960,Y_961),Z_962) = multiply(X_960,multiply(Y_961,Z_962)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_201265,plain,
! [Z_962] : ( multiply(sk_c10,multiply(sk_c4,Z_962)) = multiply(identity,Z_962) ),
inference(superposition,[status(thm),theory(equality)],[c_201133,c_201229]) ).
tff(c_201982,plain,
! [Z_977] : ( multiply(sk_c10,multiply(sk_c4,Z_977)) = Z_977 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201265]) ).
tff(c_201994,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_201175,c_201982]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_201189,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_201129,c_32]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_201141,plain,
inverse(sk_c5) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_201129,c_30]) ).
tff(c_201145,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_201141,c_4]) ).
tff(c_201262,plain,
! [Z_962] : ( multiply(sk_c10,multiply(sk_c5,Z_962)) = multiply(identity,Z_962) ),
inference(superposition,[status(thm),theory(equality)],[c_201145,c_201229]) ).
tff(c_202005,plain,
! [Z_978] : ( multiply(sk_c10,multiply(sk_c5,Z_978)) = Z_978 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201262]) ).
tff(c_202017,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_201189,c_202005]) ).
tff(c_201157,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_201153,c_4]) ).
tff(c_201324,plain,
! [Z_965] : ( multiply(sk_c10,multiply(sk_c4,Z_965)) = Z_965 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201265]) ).
tff(c_201336,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_201175,c_201324]) ).
tff(c_201271,plain,
! [X_2,Z_962] : ( multiply(inverse(X_2),multiply(X_2,Z_962)) = multiply(identity,Z_962) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_201229]) ).
tff(c_201370,plain,
! [X_967,Z_968] : ( multiply(inverse(X_967),multiply(X_967,Z_968)) = Z_968 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201271]) ).
tff(c_201394,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_201336,c_201370]) ).
tff(c_201458,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_201394]) ).
tff(c_201244,plain,
! [Z_962] : ( multiply(sk_c6,multiply(sk_c7,Z_962)) = multiply(sk_c9,Z_962) ),
inference(superposition,[status(thm),theory(equality)],[c_201194,c_201229]) ).
tff(c_201580,plain,
! [Z_970] : ( multiply(sk_c6,multiply(sk_c7,Z_970)) = Z_970 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201458,c_201244]) ).
tff(c_201604,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_201157,c_201580]) ).
tff(c_38,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_201170,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_201129,c_38]) ).
tff(c_201475,plain,
multiply(sk_c7,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_201458,c_201170]) ).
tff(c_201579,plain,
! [Z_962] : ( multiply(sk_c6,multiply(sk_c7,Z_962)) = Z_962 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201458,c_201244]) ).
tff(c_201647,plain,
multiply(sk_c6,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_201475,c_201579]) ).
tff(c_201704,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_201604,c_201647]) ).
tff(c_28,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_201181,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_201129,c_28]) ).
tff(c_201322,plain,
! [X5_6,X4_12,X1_10,X7_9,X2_11] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c9,sk_c10) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201181,c_104]) ).
tff(c_201323,plain,
multiply(sk_c9,sk_c10) != sk_c8,
inference(splitLeft,[status(thm)],[c_201322]) ).
tff(c_201469,plain,
multiply(identity,sk_c10) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_201458,c_201323]) ).
tff(c_201476,plain,
sk_c8 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201469]) ).
tff(c_201723,plain,
sk_c6 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_201704,c_201476]) ).
tff(c_201468,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_201458,c_201336]) ).
tff(c_201347,plain,
! [Z_966] : ( multiply(sk_c10,multiply(sk_c5,Z_966)) = Z_966 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201262]) ).
tff(c_201359,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_201189,c_201347]) ).
tff(c_201467,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_201458,c_201359]) ).
tff(c_201253,plain,
! [Z_962] : ( multiply(sk_c4,multiply(sk_c10,Z_962)) = multiply(sk_c9,Z_962) ),
inference(superposition,[status(thm),theory(equality)],[c_201175,c_201229]) ).
tff(c_201730,plain,
! [Z_972] : ( multiply(sk_c4,multiply(sk_c10,Z_972)) = Z_972 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201458,c_201253]) ).
tff(c_201751,plain,
multiply(sk_c4,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_201467,c_201730]) ).
tff(c_201763,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_201133,c_201730]) ).
tff(c_201828,plain,
sk_c4 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_201751,c_201763]) ).
tff(c_201473,plain,
multiply(sk_c10,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_201458,c_201181]) ).
tff(c_201722,plain,
multiply(sk_c10,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_201704,c_201473]) ).
tff(c_201729,plain,
! [Z_962] : ( multiply(sk_c4,multiply(sk_c10,Z_962)) = Z_962 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201458,c_201253]) ).
tff(c_201774,plain,
multiply(sk_c4,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_201722,c_201729]) ).
tff(c_201843,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_201468,c_201828,c_201774]) ).
tff(c_201844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201723,c_201843]) ).
tff(c_201846,plain,
multiply(sk_c9,sk_c10) = sk_c8,
inference(splitRight,[status(thm)],[c_201322]) ).
tff(c_202021,plain,
! [Z_979] : ( multiply(sk_c5,multiply(sk_c9,Z_979)) = multiply(sk_c10,Z_979) ),
inference(superposition,[status(thm),theory(equality)],[c_201189,c_201229]) ).
tff(c_202036,plain,
multiply(sk_c5,sk_c8) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_201846,c_202021]) ).
tff(c_202047,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_202017,c_202036]) ).
tff(c_201280,plain,
! [Z_962] : ( multiply(sk_c10,multiply(sk_c5,Z_962)) = Z_962 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201262]) ).
tff(c_202051,plain,
multiply(sk_c10,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_202047,c_201280]) ).
tff(c_202057,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_201994,c_202051]) ).
tff(c_202062,plain,
multiply(sk_c7,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_202057,c_201170]) ).
tff(c_202060,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_202057,c_201846]) ).
tff(c_202290,plain,
! [Z_983] : ( multiply(sk_c4,multiply(sk_c10,Z_983)) = multiply(sk_c9,Z_983) ),
inference(superposition,[status(thm),theory(equality)],[c_201175,c_201229]) ).
tff(c_202308,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c4,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_202017,c_202290]) ).
tff(c_202327,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_202060,c_202308]) ).
tff(c_201855,plain,
! [Z_973] : ( multiply(sk_c10,multiply(sk_c4,Z_973)) = Z_973 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201265]) ).
tff(c_201867,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_201175,c_201855]) ).
tff(c_201878,plain,
! [Z_974] : ( multiply(sk_c10,multiply(sk_c5,Z_974)) = Z_974 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201262]) ).
tff(c_201890,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_201189,c_201878]) ).
tff(c_201894,plain,
! [Z_975] : ( multiply(sk_c5,multiply(sk_c9,Z_975)) = multiply(sk_c10,Z_975) ),
inference(superposition,[status(thm),theory(equality)],[c_201189,c_201229]) ).
tff(c_201909,plain,
multiply(sk_c5,sk_c8) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_201846,c_201894]) ).
tff(c_201920,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_201890,c_201909]) ).
tff(c_201924,plain,
multiply(sk_c10,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_201920,c_201280]) ).
tff(c_201930,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_201867,c_201924]) ).
tff(c_201932,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_201930,c_201920]) ).
tff(c_201845,plain,
! [X5_6,X4_12,X1_10,X7_9,X2_11] :
( ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_201322]) ).
tff(c_201854,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_201845]) ).
tff(c_201964,plain,
! [X7_976] :
( ( multiply(inverse(X7_976),sk_c10) != sk_c9 )
| ( multiply(X7_976,inverse(X7_976)) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201930,c_201854]) ).
tff(c_201968,plain,
( ( multiply(sk_c10,sk_c10) != sk_c9 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c9 ) ),
inference(superposition,[status(thm),theory(equality)],[c_201141,c_201964]) ).
tff(c_201980,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_201932,c_201141,c_201890,c_201968]) ).
tff(c_201981,plain,
! [X2_11,X1_10,X5_6,X4_12] :
( ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_201845]) ).
tff(c_202098,plain,
! [X4_980] :
( ( multiply(X4_980,sk_c9) != sk_c10 )
| ( inverse(X4_980) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_201981]) ).
tff(c_202111,plain,
inverse(sk_c5) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_201189,c_202098]) ).
tff(c_202124,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_201141,c_202111]) ).
tff(c_202125,plain,
! [X5_6,X1_10,X2_11] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_201981]) ).
tff(c_202390,plain,
! [X2_984] :
( ( multiply(X2_984,sk_c9) != sk_c10 )
| ( inverse(X2_984) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_202125]) ).
tff(c_202393,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_202327,c_202390]) ).
tff(c_202418,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_201128,c_202393]) ).
tff(c_202419,plain,
! [X1_10,X5_6] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_202125]) ).
tff(c_202707,plain,
! [X5_990] :
( ( multiply(inverse(X5_990),sk_c10) != sk_c9 )
| ( multiply(X5_990,inverse(X5_990)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_202419]) ).
tff(c_202709,plain,
( ( multiply(sk_c7,sk_c10) != sk_c9 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c9 ) ),
inference(superposition,[status(thm),theory(equality)],[c_201153,c_202707]) ).
tff(c_202719,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_201194,c_201153,c_202062,c_202709]) ).
tff(c_202849,plain,
! [X1_994] :
( ( inverse(X1_994) != sk_c10 )
| ( multiply(X1_994,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_202419]) ).
tff(c_202866,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_201175,c_202849]) ).
tff(c_202880,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_201128,c_202866]) ).
tff(c_202882,plain,
inverse(sk_c2) != sk_c3,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_72,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_268167,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_202882,c_72]) ).
tff(c_202881,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_202886,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_202881,c_4]) ).
tff(c_268228,plain,
! [X_1326,Y_1327,Z_1328] : ( multiply(multiply(X_1326,Y_1327),Z_1328) = multiply(X_1326,multiply(Y_1327,Z_1328)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_268264,plain,
! [Z_1328] : ( multiply(sk_c10,multiply(sk_c4,Z_1328)) = multiply(identity,Z_1328) ),
inference(superposition,[status(thm),theory(equality)],[c_202886,c_268228]) ).
tff(c_268885,plain,
! [Z_1340] : ( multiply(sk_c10,multiply(sk_c4,Z_1340)) = Z_1340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_268264]) ).
tff(c_268897,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_268167,c_268885]) ).
tff(c_268267,plain,
! [X_2,Z_1328] : ( multiply(inverse(X_2),multiply(X_2,Z_1328)) = multiply(identity,Z_1328) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_268228]) ).
tff(c_269265,plain,
! [X_1347,Z_1348] : ( multiply(inverse(X_1347),multiply(X_1347,Z_1348)) = Z_1348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_268267]) ).
tff(c_269283,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_268897,c_269265]) ).
tff(c_269350,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_269283]) ).
tff(c_268329,plain,
! [Z_1331] : ( multiply(sk_c10,multiply(sk_c4,Z_1331)) = Z_1331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_268264]) ).
tff(c_268341,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_268167,c_268329]) ).
tff(c_268421,plain,
! [X_1333,Z_1334] : ( multiply(inverse(X_1333),multiply(X_1333,Z_1334)) = Z_1334 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_268267]) ).
tff(c_268451,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_268341,c_268421]) ).
tff(c_268516,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_268451]) ).
tff(c_268345,plain,
! [Z_1332] : ( multiply(sk_c4,multiply(sk_c10,Z_1332)) = multiply(sk_c9,Z_1332) ),
inference(superposition,[status(thm),theory(equality)],[c_268167,c_268228]) ).
tff(c_268375,plain,
multiply(sk_c9,sk_c4) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_202886,c_268345]) ).
tff(c_268527,plain,
multiply(sk_c4,identity) = multiply(identity,sk_c4),
inference(demodulation,[status(thm),theory(equality)],[c_268516,c_268375]) ).
tff(c_268541,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_268527]) ).
tff(c_202937,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_202882,c_72]) ).
tff(c_202994,plain,
! [X_995,Y_996,Z_997] : ( multiply(multiply(X_995,Y_996),Z_997) = multiply(X_995,multiply(Y_996,Z_997)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_203033,plain,
! [Z_997] : ( multiply(sk_c10,multiply(sk_c4,Z_997)) = multiply(identity,Z_997) ),
inference(superposition,[status(thm),theory(equality)],[c_202886,c_202994]) ).
tff(c_203608,plain,
! [Z_1011] : ( multiply(sk_c10,multiply(sk_c4,Z_1011)) = Z_1011 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203033]) ).
tff(c_203620,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_202937,c_203608]) ).
tff(c_203036,plain,
! [X_2,Z_997] : ( multiply(inverse(X_2),multiply(X_2,Z_997)) = multiply(identity,Z_997) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_202994]) ).
tff(c_203644,plain,
! [X_1013,Z_1014] : ( multiply(inverse(X_1013),multiply(X_1013,Z_1014)) = Z_1014 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203036]) ).
tff(c_203665,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_203620,c_203644]) ).
tff(c_203738,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_203665]) ).
tff(c_203931,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_203738,c_203620]) ).
tff(c_203099,plain,
! [Z_1000] : ( multiply(sk_c10,multiply(sk_c4,Z_1000)) = Z_1000 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203033]) ).
tff(c_203111,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_202937,c_203099]) ).
tff(c_203148,plain,
! [X_1003,Z_1004] : ( multiply(inverse(X_1003),multiply(X_1003,Z_1004)) = Z_1004 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203036]) ).
tff(c_203172,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_203111,c_203148]) ).
tff(c_203239,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_203172]) ).
tff(c_76,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_202953,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_202882,c_76]) ).
tff(c_203097,plain,
! [X5_6,X4_12,X1_10,X7_9,X2_11] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c9,sk_c10) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202953,c_104]) ).
tff(c_203098,plain,
multiply(sk_c9,sk_c10) != sk_c8,
inference(splitLeft,[status(thm)],[c_203097]) ).
tff(c_203250,plain,
multiply(identity,sk_c10) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_203239,c_203098]) ).
tff(c_203259,plain,
sk_c8 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203250]) ).
tff(c_203226,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_202886,c_203148]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_202919,plain,
inverse(sk_c5) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_202882,c_78]) ).
tff(c_202923,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_202919,c_4]) ).
tff(c_203208,plain,
multiply(inverse(sk_c10),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_202923,c_203148]) ).
tff(c_203498,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_203226,c_203208]) ).
tff(c_80,plain,
( ( multiply(sk_c5,sk_c9) = sk_c10 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_202961,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_202882,c_80]) ).
tff(c_203254,plain,
multiply(sk_c5,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_203239,c_202961]) ).
tff(c_203558,plain,
multiply(sk_c4,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_203498,c_203254]) ).
tff(c_203255,plain,
multiply(sk_c10,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_203239,c_202953]) ).
tff(c_203021,plain,
! [Z_997] : ( multiply(sk_c4,multiply(sk_c10,Z_997)) = multiply(sk_c9,Z_997) ),
inference(superposition,[status(thm),theory(equality)],[c_202937,c_202994]) ).
tff(c_203511,plain,
! [Z_1009] : ( multiply(sk_c4,multiply(sk_c10,Z_1009)) = Z_1009 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203239,c_203021]) ).
tff(c_203535,plain,
multiply(sk_c4,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_203255,c_203511]) ).
tff(c_203584,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_203558,c_203535]) ).
tff(c_203585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_203259,c_203584]) ).
tff(c_203587,plain,
multiply(sk_c9,sk_c10) = sk_c8,
inference(splitRight,[status(thm)],[c_203097]) ).
tff(c_203932,plain,
multiply(identity,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_203738,c_203587]) ).
tff(c_203941,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203932]) ).
tff(c_203938,plain,
multiply(sk_c10,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_203738,c_202953]) ).
tff(c_205076,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_203941,c_203938]) ).
tff(c_205330,plain,
! [Z_1038] : ( multiply(sk_c4,multiply(sk_c10,Z_1038)) = Z_1038 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203738,c_203021]) ).
tff(c_205354,plain,
multiply(sk_c4,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_205076,c_205330]) ).
tff(c_205372,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_202886,c_205330]) ).
tff(c_205434,plain,
sk_c4 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_205354,c_205372]) ).
tff(c_202894,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_202898,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_202894,c_4]) ).
tff(c_205369,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_202898,c_205330]) ).
tff(c_205449,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_203931,c_205434,c_205369]) ).
tff(c_205460,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_205449,c_202894]) ).
tff(c_205456,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_205449,c_205449,c_205076]) ).
tff(c_203048,plain,
! [X_2,Z_997] : ( multiply(inverse(X_2),multiply(X_2,Z_997)) = Z_997 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203036]) ).
tff(c_205597,plain,
! [X_1041,Z_1042] : ( multiply(inverse(inverse(X_1041)),Z_1042) = multiply(X_1041,Z_1042) ),
inference(superposition,[status(thm),theory(equality)],[c_203644,c_203048]) ).
tff(c_203731,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_203644]) ).
tff(c_205641,plain,
! [X_1043] : ( multiply(X_1043,identity) = X_1043 ),
inference(superposition,[status(thm),theory(equality)],[c_205597,c_203731]) ).
tff(c_203734,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_203644]) ).
tff(c_205659,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_205641,c_203734]) ).
tff(c_205618,plain,
! [X_1041] : ( multiply(X_1041,inverse(X_1041)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_205597,c_4]) ).
tff(c_205604,plain,
! [X_1041] : ( multiply(X_1041,identity) = X_1041 ),
inference(superposition,[status(thm),theory(equality)],[c_205597,c_203731]) ).
tff(c_203024,plain,
! [Z_997] : ( multiply(sk_c10,multiply(sk_c5,Z_997)) = multiply(identity,Z_997) ),
inference(superposition,[status(thm),theory(equality)],[c_202923,c_202994]) ).
tff(c_203050,plain,
! [Z_998] : ( multiply(sk_c10,multiply(sk_c5,Z_998)) = Z_998 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203024]) ).
tff(c_203062,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_202961,c_203050]) ).
tff(c_203069,plain,
! [Z_5] : ( multiply(sk_c10,multiply(sk_c10,Z_5)) = multiply(sk_c9,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_203062,c_6]) ).
tff(c_205548,plain,
! [Z_5] : ( multiply(sk_c1,multiply(sk_c1,Z_5)) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_205449,c_205449,c_2,c_203738,c_203069]) ).
tff(c_205846,plain,
! [X_1046,Y_1047,Z_1048] : ( multiply(inverse(multiply(X_1046,Y_1047)),multiply(X_1046,multiply(Y_1047,Z_1048))) = Z_1048 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_203644]) ).
tff(c_205882,plain,
! [X_1046,X_1041] : ( multiply(inverse(multiply(X_1046,X_1041)),multiply(X_1046,identity)) = inverse(X_1041) ),
inference(superposition,[status(thm),theory(equality)],[c_205618,c_205846]) ).
tff(c_207193,plain,
! [X_1068,X_1069] : ( multiply(inverse(multiply(X_1068,X_1069)),X_1068) = inverse(X_1069) ),
inference(demodulation,[status(thm),theory(equality)],[c_205604,c_205882]) ).
tff(c_207315,plain,
! [Z_5] : ( multiply(inverse(Z_5),sk_c1) = inverse(multiply(sk_c1,Z_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_205548,c_207193]) ).
tff(c_203954,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_203941,c_203938]) ).
tff(c_204087,plain,
! [Z_1018] : ( multiply(sk_c4,multiply(sk_c10,Z_1018)) = Z_1018 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203738,c_203021]) ).
tff(c_204108,plain,
multiply(sk_c4,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_203954,c_204087]) ).
tff(c_204126,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_202886,c_204087]) ).
tff(c_204180,plain,
sk_c4 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_204108,c_204126]) ).
tff(c_204123,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_202898,c_204087]) ).
tff(c_204221,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_203931,c_204180,c_204123]) ).
tff(c_204435,plain,
! [X_1023,Z_1024] : ( multiply(inverse(inverse(X_1023)),Z_1024) = multiply(X_1023,Z_1024) ),
inference(superposition,[status(thm),theory(equality)],[c_203048,c_203644]) ).
tff(c_204442,plain,
! [X_1023] : ( multiply(X_1023,identity) = X_1023 ),
inference(superposition,[status(thm),theory(equality)],[c_204435,c_203731]) ).
tff(c_203757,plain,
multiply(sk_c4,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_203738,c_202937]) ).
tff(c_203749,plain,
multiply(identity,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_203738,c_203587]) ).
tff(c_203758,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203749]) ).
tff(c_203755,plain,
multiply(sk_c10,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_203738,c_202953]) ).
tff(c_203805,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_203758,c_203755]) ).
tff(c_203586,plain,
! [X5_6,X4_12,X1_10,X7_9,X2_11] :
( ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_203097]) ).
tff(c_203747,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_203586]) ).
tff(c_203863,plain,
! [X7_1016] :
( ( multiply(inverse(X7_1016),sk_c10) != identity )
| ( multiply(X7_1016,inverse(X7_1016)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203738,c_203758,c_203738,c_203747]) ).
tff(c_203874,plain,
( ( multiply(sk_c10,sk_c10) != identity )
| ( multiply(sk_c4,inverse(sk_c4)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_202881,c_203863]) ).
tff(c_203886,plain,
multiply(sk_c4,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_202881,c_203805,c_203874]) ).
tff(c_203929,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_203757,c_203886]) ).
tff(c_203930,plain,
! [X2_11,X1_10,X5_6,X4_12] :
( ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_203586]) ).
tff(c_203952,plain,
! [X2_11,X1_10,X5_6,X4_12] :
( ( multiply(X2_11,identity) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( multiply(inverse(X5_6),sk_c10) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity )
| ( multiply(X4_12,identity) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203738,c_203738,c_203738,c_203738,c_203738,c_203930]) ).
tff(c_203953,plain,
! [X4_12] :
( ( multiply(X4_12,identity) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_203952]) ).
tff(c_205072,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_204221,c_204442,c_204221,c_203953]) ).
tff(c_204231,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_204221,c_202894]) ).
tff(c_205074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_205072,c_204231]) ).
tff(c_205075,plain,
! [X5_6,X1_10,X2_11] :
( ( multiply(inverse(X5_6),sk_c10) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( multiply(X2_11,identity) != sk_c10 )
| ( inverse(X2_11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_203952]) ).
tff(c_266359,plain,
! [X5_6,X1_10,X2_11] :
( ( inverse(multiply(sk_c1,X5_6)) != identity )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( sk_c1 != X2_11 )
| ( inverse(X2_11) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205449,c_205604,c_205449,c_205449,c_205449,c_205618,c_207315,c_205449,c_205075]) ).
tff(c_266361,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_266359]) ).
tff(c_266363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266361,c_205460]) ).
tff(c_266364,plain,
! [X1_10,X5_6] :
( ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(multiply(sk_c1,X5_6)) != identity ) ),
inference(splitRight,[status(thm)],[c_266359]) ).
tff(c_266366,plain,
! [X5_1320] : ( inverse(multiply(sk_c1,X5_1320)) != identity ),
inference(splitLeft,[status(thm)],[c_266364]) ).
tff(c_266415,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_205618,c_266366]) ).
tff(c_266437,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_205659,c_266415]) ).
tff(c_268039,plain,
! [X1_1325] :
( ( inverse(X1_1325) != sk_c1 )
| ( multiply(X1_1325,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_266364]) ).
tff(c_268101,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_205456,c_268039]) ).
tff(c_268129,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_205460,c_268101]) ).
tff(c_268130,plain,
inverse(sk_c5) = sk_c10,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_268135,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_268130,c_4]) ).
tff(c_268372,plain,
multiply(sk_c9,sk_c5) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_268135,c_268345]) ).
tff(c_268525,plain,
multiply(sk_c4,identity) = multiply(identity,sk_c5),
inference(demodulation,[status(thm),theory(equality)],[c_268516,c_268372]) ).
tff(c_268539,plain,
multiply(sk_c4,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_268525]) ).
tff(c_268758,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_268541,c_268539]) ).
tff(c_268131,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_268190,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_268131,c_28]) ).
tff(c_268369,plain,
multiply(sk_c9,sk_c8) = multiply(sk_c4,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_268190,c_268345]) ).
tff(c_268526,plain,
multiply(sk_c4,identity) = multiply(identity,sk_c8),
inference(demodulation,[status(thm),theory(equality)],[c_268516,c_268516,c_268369]) ).
tff(c_268540,plain,
multiply(sk_c4,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_268526]) ).
tff(c_268747,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_268539,c_268540]) ).
tff(c_268320,plain,
! [X5_6,X4_12,X1_10,X7_9,X2_11] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c9,sk_c10) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_268190,c_104]) ).
tff(c_268321,plain,
multiply(sk_c9,sk_c10) != sk_c8,
inference(splitLeft,[status(thm)],[c_268320]) ).
tff(c_268532,plain,
multiply(identity,sk_c10) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_268516,c_268321]) ).
tff(c_268544,plain,
sk_c8 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_268532]) ).
tff(c_268751,plain,
sk_c5 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_268747,c_268544]) ).
tff(c_268808,plain,
sk_c4 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_268758,c_268751]) ).
tff(c_268185,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_268131,c_32]) ).
tff(c_268535,plain,
multiply(sk_c5,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_268516,c_268185]) ).
tff(c_268810,plain,
multiply(sk_c4,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_268758,c_268535]) ).
tff(c_268866,plain,
sk_c4 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_268810,c_268541]) ).
tff(c_268868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268808,c_268866]) ).
tff(c_268870,plain,
multiply(sk_c9,sk_c10) = sk_c8,
inference(splitRight,[status(thm)],[c_268320]) ).
tff(c_269361,plain,
multiply(identity,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_269350,c_268870]) ).
tff(c_269369,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_269361]) ).
tff(c_269363,plain,
multiply(sk_c10,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_269350,c_268190]) ).
tff(c_270520,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_269369,c_269363]) ).
tff(c_268252,plain,
! [Z_1328] : ( multiply(sk_c4,multiply(sk_c10,Z_1328)) = multiply(sk_c9,Z_1328) ),
inference(superposition,[status(thm),theory(equality)],[c_268167,c_268228]) ).
tff(c_270545,plain,
! [Z_1367] : ( multiply(sk_c4,multiply(sk_c10,Z_1367)) = Z_1367 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_269350,c_268252]) ).
tff(c_270563,plain,
multiply(sk_c4,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_270520,c_270545]) ).
tff(c_270575,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_202886,c_270545]) ).
tff(c_270708,plain,
sk_c4 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_270563,c_270575]) ).
tff(c_270730,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_270708,c_202881]) ).
tff(c_270625,plain,
! [X_1368] : ( multiply(inverse(identity),X_1368) = X_1368 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_269265]) ).
tff(c_268278,plain,
! [X_2,Z_1328] : ( multiply(inverse(X_2),multiply(X_2,Z_1328)) = Z_1328 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_268267]) ).
tff(c_270912,plain,
! [X_1373] : ( multiply(inverse(inverse(identity)),X_1373) = X_1373 ),
inference(superposition,[status(thm),theory(equality)],[c_270625,c_268278]) ).
tff(c_270933,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_270912,c_4]) ).
tff(c_270976,plain,
! [X_1374,Z_1375] : ( multiply(inverse(inverse(X_1374)),Z_1375) = multiply(X_1374,Z_1375) ),
inference(superposition,[status(thm),theory(equality)],[c_268278,c_269265]) ).
tff(c_270997,plain,
! [X_1374] : ( multiply(X_1374,inverse(X_1374)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_270976,c_4]) ).
tff(c_269343,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_269265]) ).
tff(c_271006,plain,
! [X_2] : ( multiply(X_2,identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_269343,c_270976]) ).
tff(c_86,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_268162,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_202882,c_86]) ).
tff(c_269367,plain,
multiply(sk_c7,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_269350,c_268162]) ).
tff(c_270597,plain,
multiply(sk_c7,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_269369,c_269367]) ).
tff(c_268180,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_268131,c_34]) ).
tff(c_268249,plain,
! [Z_1328] : ( multiply(sk_c6,multiply(sk_c7,Z_1328)) = multiply(sk_c9,Z_1328) ),
inference(superposition,[status(thm),theory(equality)],[c_268180,c_268228]) ).
tff(c_270792,plain,
! [Z_1371] : ( multiply(sk_c6,multiply(sk_c7,Z_1371)) = Z_1371 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_269350,c_268249]) ).
tff(c_270810,plain,
multiply(sk_c6,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_270597,c_270792]) ).
tff(c_84,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_268143,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_202882,c_84]) ).
tff(c_268147,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_268143,c_4]) ).
tff(c_270819,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_268147,c_270792]) ).
tff(c_270843,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_270810,c_270819]) ).
tff(c_270849,plain,
inverse(sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_270843,c_268143]) ).
tff(c_270852,plain,
sk_c7 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_270730,c_270849]) ).
tff(c_268255,plain,
! [Z_1328] : ( multiply(sk_c7,multiply(sk_c8,Z_1328)) = multiply(sk_c9,Z_1328) ),
inference(superposition,[status(thm),theory(equality)],[c_268162,c_268228]) ).
tff(c_270871,plain,
! [Z_1328] : ( multiply(sk_c10,multiply(sk_c10,Z_1328)) = Z_1328 ),
inference(demodulation,[status(thm),theory(equality)],[c_270852,c_2,c_269350,c_269369,c_268255]) ).
tff(c_271211,plain,
! [X_1379,Y_1380,Z_1381] : ( multiply(inverse(multiply(X_1379,Y_1380)),multiply(X_1379,multiply(Y_1380,Z_1381))) = Z_1381 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_269265]) ).
tff(c_271247,plain,
! [X_1379,X_1374] : ( multiply(inverse(multiply(X_1379,X_1374)),multiply(X_1379,identity)) = inverse(X_1374) ),
inference(superposition,[status(thm),theory(equality)],[c_270997,c_271211]) ).
tff(c_272272,plain,
! [X_1397,X_1398] : ( multiply(inverse(multiply(X_1397,X_1398)),X_1397) = inverse(X_1398) ),
inference(demodulation,[status(thm),theory(equality)],[c_271006,c_271247]) ).
tff(c_272383,plain,
! [Z_1328] : ( multiply(inverse(Z_1328),sk_c10) = inverse(multiply(sk_c10,Z_1328)) ),
inference(superposition,[status(thm),theory(equality)],[c_270871,c_272272]) ).
tff(c_269856,plain,
! [X_1355,Z_1356] : ( multiply(inverse(inverse(X_1355)),Z_1356) = multiply(X_1355,Z_1356) ),
inference(superposition,[status(thm),theory(equality)],[c_269265,c_268278]) ).
tff(c_269863,plain,
! [X_1355] : ( multiply(X_1355,identity) = X_1355 ),
inference(superposition,[status(thm),theory(equality)],[c_269856,c_269343]) ).
tff(c_268909,plain,
! [X_1341,Z_1342] : ( multiply(inverse(X_1341),multiply(X_1341,Z_1342)) = Z_1342 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_268267]) ).
tff(c_268927,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_268897,c_268909]) ).
tff(c_268991,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_268927]) ).
tff(c_269001,plain,
multiply(identity,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_268991,c_268870]) ).
tff(c_269008,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_269001]) ).
tff(c_269003,plain,
multiply(sk_c10,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_268991,c_268190]) ).
tff(c_269131,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_269008,c_269003]) ).
tff(c_268999,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_268991,c_268897]) ).
tff(c_268243,plain,
! [Z_1328] : ( multiply(sk_c10,multiply(sk_c8,Z_1328)) = multiply(sk_c9,Z_1328) ),
inference(superposition,[status(thm),theory(equality)],[c_268190,c_268228]) ).
tff(c_269172,plain,
! [Z_1345] : ( multiply(sk_c10,multiply(sk_c10,Z_1345)) = Z_1345 ),
inference(demodulation,[status(thm),theory(equality)],[c_269008,c_2,c_268991,c_268243]) ).
tff(c_269205,plain,
multiply(sk_c10,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_268135,c_269172]) ).
tff(c_269216,plain,
sk_c5 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_268999,c_269205]) ).
tff(c_269221,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_269216,c_268130]) ).
tff(c_268869,plain,
! [X5_6,X4_12,X1_10,X7_9,X2_11] :
( ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_268320]) ).
tff(c_268901,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_268869]) ).
tff(c_269097,plain,
! [X7_1344] :
( ( multiply(inverse(X7_1344),sk_c10) != identity )
| ( multiply(X7_1344,inverse(X7_1344)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_268991,c_269008,c_268991,c_268901]) ).
tff(c_269115,plain,
multiply(sk_c10,inverse(sk_c10)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_269097]) ).
tff(c_269240,plain,
multiply(sk_c10,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_269221,c_269115]) ).
tff(c_269243,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_269131,c_269240]) ).
tff(c_269244,plain,
! [X2_11,X1_10,X5_6,X4_12] :
( ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c9 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_268869]) ).
tff(c_269379,plain,
! [X2_11,X1_10,X5_6,X4_12] :
( ( multiply(X2_11,identity) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( multiply(inverse(X5_6),sk_c10) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity )
| ( multiply(X4_12,identity) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_269350,c_269350,c_269350,c_269350,c_269350,c_269244]) ).
tff(c_269380,plain,
! [X4_12] :
( ( multiply(X4_12,identity) != sk_c10 )
| ( inverse(X4_12) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_269379]) ).
tff(c_270486,plain,
inverse(sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_269863,c_269380]) ).
tff(c_269337,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_202886,c_269265]) ).
tff(c_269331,plain,
multiply(inverse(sk_c10),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_268135,c_269265]) ).
tff(c_269582,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_269337,c_269331]) ).
tff(c_269364,plain,
multiply(sk_c5,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_269350,c_268185]) ).
tff(c_269584,plain,
multiply(sk_c4,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_269582,c_269364]) ).
tff(c_269499,plain,
multiply(sk_c7,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_269369,c_269367]) ).
tff(c_269621,plain,
! [Z_1352] : ( multiply(sk_c6,multiply(sk_c7,Z_1352)) = Z_1352 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_269350,c_268249]) ).
tff(c_269639,plain,
multiply(sk_c6,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_269499,c_269621]) ).
tff(c_269648,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_268147,c_269621]) ).
tff(c_269672,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_269639,c_269648]) ).
tff(c_269679,plain,
inverse(sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_269672,c_268143]) ).
tff(c_269686,plain,
multiply(sk_c7,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_269679,c_269337]) ).
tff(c_268258,plain,
! [Z_1328] : ( multiply(sk_c7,multiply(sk_c6,Z_1328)) = multiply(identity,Z_1328) ),
inference(superposition,[status(thm),theory(equality)],[c_268147,c_268228]) ).
tff(c_268280,plain,
! [Z_1329] : ( multiply(sk_c7,multiply(sk_c6,Z_1329)) = Z_1329 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_268258]) ).
tff(c_268292,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_268180,c_268280]) ).
tff(c_269362,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_269350,c_268292]) ).
tff(c_269713,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_269686,c_269362]) ).
tff(c_269761,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_269713,c_269686]) ).
tff(c_269765,plain,
sk_c4 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_269584,c_269761]) ).
tff(c_269778,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_269765,c_202881]) ).
tff(c_270488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270486,c_269778]) ).
tff(c_270489,plain,
! [X5_6,X1_10,X2_11] :
( ( multiply(inverse(X5_6),sk_c10) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( multiply(X2_11,identity) != sk_c10 )
| ( inverse(X2_11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_269379]) ).
tff(c_335560,plain,
! [X5_6,X1_10,X2_11] :
( ( inverse(multiply(sk_c10,X5_6)) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( sk_c10 != X2_11 )
| ( inverse(X2_11) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_271006,c_270997,c_272383,c_270489]) ).
tff(c_335562,plain,
inverse(sk_c10) != sk_c10,
inference(splitLeft,[status(thm)],[c_335560]) ).
tff(c_335564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335562,c_270730]) ).
tff(c_335565,plain,
! [X1_10,X5_6] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(multiply(sk_c10,X5_6)) != identity ) ),
inference(splitRight,[status(thm)],[c_335560]) ).
tff(c_335567,plain,
! [X5_1663] : ( inverse(multiply(sk_c10,X5_1663)) != identity ),
inference(splitLeft,[status(thm)],[c_335565]) ).
tff(c_335616,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_270997,c_335567]) ).
tff(c_335639,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_270933,c_335616]) ).
tff(c_335642,plain,
! [X1_1664] :
( ( inverse(X1_1664) != sk_c10 )
| ( multiply(X1_1664,sk_c10) != identity ) ),
inference(splitRight,[status(thm)],[c_335565]) ).
tff(c_335704,plain,
inverse(sk_c10) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_270520,c_335642]) ).
tff(c_335732,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_270730,c_335704]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP336-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 21:55:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 50.26/36.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 50.58/36.66
% 50.58/36.66 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 51.17/36.75
% 51.17/36.75 Inference rules
% 51.17/36.75 ----------------------
% 51.17/36.75 #Ref : 0
% 51.17/36.75 #Sup : 79909
% 51.17/36.75 #Fact : 0
% 51.17/36.75 #Define : 0
% 51.17/36.75 #Split : 56
% 51.17/36.75 #Chain : 0
% 51.17/36.75 #Close : 0
% 51.17/36.76
% 51.17/36.76 Ordering : KBO
% 51.17/36.76
% 51.17/36.76 Simplification rules
% 51.17/36.76 ----------------------
% 51.17/36.76 #Subsume : 17
% 51.17/36.76 #Demod : 316325
% 51.17/36.76 #Tautology : 65424
% 51.17/36.76 #SimpNegUnit : 190
% 51.17/36.76 #BackRed : 909
% 51.17/36.76
% 51.17/36.76 #Partial instantiations: 0
% 51.17/36.76 #Strategies tried : 1
% 51.17/36.76
% 51.17/36.76 Timing (in seconds)
% 51.17/36.76 ----------------------
% 51.17/36.76 Preprocessing : 0.55
% 51.17/36.76 Parsing : 0.21
% 51.17/36.76 CNF conversion : 0.03
% 51.17/36.76 Main loop : 34.96
% 51.17/36.76 Inferencing : 5.02
% 51.17/36.76 Reduction : 25.05
% 51.17/36.76 Demodulation : 23.90
% 51.17/36.76 BG Simplification : 0.36
% 51.17/36.76 Subsumption : 3.26
% 51.17/36.76 Abstraction : 1.16
% 51.17/36.76 MUC search : 0.00
% 51.17/36.76 Cooper : 0.00
% 51.17/36.76 Total : 35.75
% 51.17/36.76 Index Insertion : 0.00
% 51.17/36.76 Index Deletion : 0.00
% 51.17/36.76 Index Matching : 0.00
% 51.17/36.76 BG Taut test : 0.00
%------------------------------------------------------------------------------