TSTP Solution File: GRP337-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP337-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n029.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 39.62s 25.55s
% Output : CNFRefutation 39.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 49
% Syntax : Number of formulae : 931 ( 790 unt; 11 typ; 0 def)
% Number of atoms : 1196 (1157 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 621 ( 345 ~; 276 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 459 (; 459 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c7 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( inverse(X3) != sk_c8 )
| ( multiply(X3,sk_c7) != sk_c8 )
| ( multiply(X4,X5) != sk_c7 )
| ( inverse(X4) != X5 )
| ( multiply(X5,sk_c8) != sk_c7 )
| ( multiply(sk_c7,sk_c6) != sk_c8 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(X2,sk_c6) != sk_c7 )
| ( inverse(X2) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c5,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_205721,plain,
! [X_1029,Y_1030,Z_1031] : ( multiply(multiply(X_1029,Y_1030),Z_1031) = multiply(X_1029,multiply(Y_1030,Z_1031)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_205754,plain,
! [X_2,Z_1031] : ( multiply(inverse(X_2),multiply(X_2,Z_1031)) = multiply(identity,Z_1031) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_205721]) ).
tff(c_207191,plain,
! [X_1064,Z_1065] : ( multiply(inverse(X_1064),multiply(X_1064,Z_1065)) = Z_1065 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205754]) ).
tff(c_207310,plain,
! [X_1066] : ( multiply(inverse(identity),X_1066) = X_1066 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_207191]) ).
tff(c_205765,plain,
! [X_2,Z_1031] : ( multiply(inverse(X_2),multiply(X_2,Z_1031)) = Z_1031 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205754]) ).
tff(c_207401,plain,
! [X_1069] : ( multiply(inverse(inverse(identity)),X_1069) = X_1069 ),
inference(superposition,[status(thm),theory(equality)],[c_207310,c_205765]) ).
tff(c_207422,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_207401,c_4]) ).
tff(c_207466,plain,
! [X_1070,Z_1071] : ( multiply(inverse(inverse(X_1070)),Z_1071) = multiply(X_1070,Z_1071) ),
inference(superposition,[status(thm),theory(equality)],[c_207191,c_205765]) ).
tff(c_207507,plain,
! [X_1070] : ( multiply(X_1070,inverse(X_1070)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_207466]) ).
tff(c_25062,plain,
! [X_389,Y_390,Z_391] : ( multiply(multiply(X_389,Y_390),Z_391) = multiply(X_389,multiply(Y_390,Z_391)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_25098,plain,
! [X_2,Z_391] : ( multiply(inverse(X_2),multiply(X_2,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25062]) ).
tff(c_26811,plain,
! [X_423,Z_424] : ( multiply(inverse(X_423),multiply(X_423,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25098]) ).
tff(c_26953,plain,
! [X_426] : ( multiply(inverse(identity),X_426) = X_426 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_26811]) ).
tff(c_25110,plain,
! [X_2,Z_391] : ( multiply(inverse(X_2),multiply(X_2,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25098]) ).
tff(c_27030,plain,
! [X_428] : ( multiply(inverse(inverse(identity)),X_428) = X_428 ),
inference(superposition,[status(thm),theory(equality)],[c_26953,c_25110]) ).
tff(c_27051,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27030,c_4]) ).
tff(c_27154,plain,
! [X_430,Z_431] : ( multiply(inverse(inverse(X_430)),Z_431) = multiply(X_430,Z_431) ),
inference(superposition,[status(thm),theory(equality)],[c_25110,c_26811]) ).
tff(c_27211,plain,
! [X_430] : ( multiply(X_430,inverse(X_430)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27154]) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_110,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_114,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_110,c_4]) ).
tff(c_50,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_139,plain,
multiply(sk_c2,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_62,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_97,plain,
inverse(sk_c2) = sk_c3,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_101,plain,
multiply(sk_c3,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_171,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_201,plain,
! [Z_15] : ( multiply(sk_c3,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_171]) ).
tff(c_485,plain,
! [Z_22] : ( multiply(sk_c3,multiply(sk_c2,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201]) ).
tff(c_497,plain,
multiply(sk_c3,sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_139,c_485]) ).
tff(c_204,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_171]) ).
tff(c_509,plain,
! [X_23,Z_24] : ( multiply(inverse(X_23),multiply(X_23,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_527,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_497,c_509]) ).
tff(c_576,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_527]) ).
tff(c_617,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_576,c_497]) ).
tff(c_189,plain,
! [Z_15] : ( multiply(sk_c2,multiply(sk_c3,Z_15)) = multiply(sk_c7,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_139,c_171]) ).
tff(c_663,plain,
! [Z_26] : ( multiply(sk_c2,multiply(sk_c3,Z_26)) = Z_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_576,c_189]) ).
tff(c_684,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_101,c_663]) ).
tff(c_242,plain,
! [Z_17] : ( multiply(sk_c3,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_201]) ).
tff(c_254,plain,
multiply(sk_c3,sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_139,c_242]) ).
tff(c_265,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_283,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_254,c_265]) ).
tff(c_329,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_283]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_130,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_80,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(sk_c7,sk_c6) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_240,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(sk_c7,sk_c6) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130,c_80]) ).
tff(c_241,plain,
multiply(sk_c7,sk_c6) != sk_c8,
inference(splitLeft,[status(thm)],[c_240]) ).
tff(c_335,plain,
multiply(identity,sk_c6) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_329,c_241]) ).
tff(c_341,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_335]) ).
tff(c_325,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_265]) ).
tff(c_339,plain,
multiply(identity,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_329,c_130]) ).
tff(c_214,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_461,plain,
multiply(inverse(identity),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_339,c_214]) ).
tff(c_473,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_325,c_461]) ).
tff(c_475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_341,c_473]) ).
tff(c_477,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(splitRight,[status(thm)],[c_240]) ).
tff(c_618,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_576,c_477]) ).
tff(c_624,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_618]) ).
tff(c_74,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_125,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_623,plain,
multiply(sk_c3,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_576,c_125]) ).
tff(c_732,plain,
multiply(sk_c3,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_624,c_623]) ).
tff(c_662,plain,
! [Z_15] : ( multiply(sk_c2,multiply(sk_c3,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_576,c_189]) ).
tff(c_736,plain,
multiply(sk_c2,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_732,c_662]) ).
tff(c_807,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_684,c_736]) ).
tff(c_632,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_624,c_110]) ).
tff(c_813,plain,
inverse(sk_c1) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_807,c_632]) ).
tff(c_569,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_509]) ).
tff(c_848,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_813,c_569]) ).
tff(c_857,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_617,c_97,c_848]) ).
tff(c_476,plain,
! [X3_7,X4_10,X1_8,X2_9] :
( ( inverse(sk_c8) != sk_c6 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_240]) ).
tff(c_501,plain,
inverse(sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_476]) ).
tff(c_629,plain,
inverse(sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_624,c_501]) ).
tff(c_814,plain,
inverse(sk_c2) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_807,c_807,c_629]) ).
tff(c_817,plain,
sk_c3 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_814]) ).
tff(c_859,plain,
sk_c2 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_857,c_817]) ).
tff(c_865,plain,
inverse(sk_c2) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_857,c_97]) ).
tff(c_643,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_632,c_4]) ).
tff(c_811,plain,
multiply(sk_c2,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_807,c_643]) ).
tff(c_901,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_811,c_214]) ).
tff(c_907,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_865,c_901]) ).
tff(c_42,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_146,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_620,plain,
multiply(sk_c1,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_576,c_146]) ).
tff(c_708,plain,
multiply(sk_c1,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_624,c_620]) ).
tff(c_812,plain,
multiply(sk_c1,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_807,c_708]) ).
tff(c_938,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_907,c_812]) ).
tff(c_940,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_859,c_938]) ).
tff(c_942,plain,
inverse(sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_476]) ).
tff(c_946,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_942,c_4]) ).
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_1088,plain,
! [Z_5] : ( multiply(sk_c6,multiply(sk_c8,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_946,c_6]) ).
tff(c_1100,plain,
! [Z_32] : ( multiply(sk_c6,multiply(sk_c8,Z_32)) = Z_32 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1088]) ).
tff(c_1118,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_114,c_1100]) ).
tff(c_198,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_171]) ).
tff(c_216,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_198]) ).
tff(c_228,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_146,c_216]) ).
tff(c_1122,plain,
! [Z_33] : ( multiply(sk_c7,multiply(sk_c8,Z_33)) = multiply(sk_c6,Z_33) ),
inference(superposition,[status(thm),theory(equality)],[c_130,c_171]) ).
tff(c_1134,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_228,c_1122]) ).
tff(c_1144,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_946,c_1134]) ).
tff(c_1365,plain,
! [Z_37] : ( multiply(sk_c2,multiply(sk_c3,Z_37)) = multiply(sk_c7,Z_37) ),
inference(superposition,[status(thm),theory(equality)],[c_139,c_171]) ).
tff(c_1380,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c2,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_497,c_1365]) ).
tff(c_1393,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_139,c_1144,c_1380]) ).
tff(c_1112,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_228,c_1100]) ).
tff(c_1397,plain,
multiply(sk_c6,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_1393,c_1112]) ).
tff(c_1407,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1118,c_1397]) ).
tff(c_1399,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_1393,c_477]) ).
tff(c_1408,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1399]) ).
tff(c_1425,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1407,c_1408]) ).
tff(c_1417,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_1407,c_942]) ).
tff(c_1434,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1425,c_1417]) ).
tff(c_1438,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1434,c_4]) ).
tff(c_1498,plain,
! [X_38,Z_39] : ( multiply(inverse(X_38),multiply(X_38,Z_39)) = Z_39 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_1565,plain,
! [X_40] : ( multiply(inverse(identity),X_40) = X_40 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1498]) ).
tff(c_1705,plain,
! [X_43] : ( multiply(inverse(inverse(identity)),X_43) = X_43 ),
inference(superposition,[status(thm),theory(equality)],[c_1565,c_214]) ).
tff(c_1726,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1705,c_4]) ).
tff(c_1781,plain,
! [X_44,Z_45] : ( multiply(inverse(inverse(X_44)),Z_45) = multiply(X_44,Z_45) ),
inference(superposition,[status(thm),theory(equality)],[c_1498,c_214]) ).
tff(c_1802,plain,
! [X_44] : ( multiply(X_44,inverse(X_44)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_1781,c_4]) ).
tff(c_1404,plain,
multiply(sk_c3,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1393,c_125]) ).
tff(c_1489,plain,
multiply(sk_c3,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1407,c_1404]) ).
tff(c_1516,plain,
multiply(inverse(sk_c3),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1489,c_1498]) ).
tff(c_1543,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_101,c_1498]) ).
tff(c_1614,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1516,c_1543]) ).
tff(c_1630,plain,
inverse(sk_c1) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_1614,c_97]) ).
tff(c_1633,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1434,c_1630]) ).
tff(c_195,plain,
! [Z_15] : ( multiply(sk_c3,multiply(sk_c8,Z_15)) = multiply(sk_c7,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_171]) ).
tff(c_1670,plain,
! [Z_15] : ( multiply(sk_c1,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_1633,c_1407,c_2,c_1393,c_195]) ).
tff(c_1549,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1498]) ).
tff(c_1788,plain,
! [X_44] : ( multiply(X_44,identity) = X_44 ),
inference(superposition,[status(thm),theory(equality)],[c_1781,c_1549]) ).
tff(c_1997,plain,
! [X_49,Y_50,Z_51] : ( multiply(inverse(multiply(X_49,Y_50)),multiply(X_49,multiply(Y_50,Z_51))) = Z_51 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_1498]) ).
tff(c_2033,plain,
! [X_49,X_44] : ( multiply(inverse(multiply(X_49,X_44)),multiply(X_49,identity)) = inverse(X_44) ),
inference(superposition,[status(thm),theory(equality)],[c_1802,c_1997]) ).
tff(c_3111,plain,
! [X_67,X_68] : ( multiply(inverse(multiply(X_67,X_68)),X_67) = inverse(X_68) ),
inference(demodulation,[status(thm),theory(equality)],[c_1788,c_2033]) ).
tff(c_3222,plain,
! [Z_15] : ( multiply(inverse(Z_15),sk_c1) = inverse(multiply(sk_c1,Z_15)) ),
inference(superposition,[status(thm),theory(equality)],[c_1670,c_3111]) ).
tff(c_1242,plain,
! [Z_35] : ( multiply(sk_c3,multiply(sk_c8,Z_35)) = multiply(sk_c7,Z_35) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_171]) ).
tff(c_1254,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c3,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_228,c_1242]) ).
tff(c_1264,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_497,c_130,c_1254]) ).
tff(c_941,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_476]) ).
tff(c_1053,plain,
! [X3_31] :
( ( multiply(X3_31,sk_c7) != sk_c8 )
| ( inverse(X3_31) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_941]) ).
tff(c_1069,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_146,c_1053]) ).
tff(c_1083,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110,c_1069]) ).
tff(c_1084,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_941]) ).
tff(c_1217,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_1084]) ).
tff(c_1315,plain,
! [X2_36] :
( ( inverse(X2_36) != sk_c3 )
| ( multiply(X2_36,sk_c3) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1264,c_1264,c_1217]) ).
tff(c_1325,plain,
inverse(sk_c2) != sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_139,c_1315]) ).
tff(c_1339,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_1325]) ).
tff(c_1340,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_1084]) ).
tff(c_1442,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c1 )
| ( multiply(X1_8,sk_c1) != identity )
| ( multiply(inverse(X4_10),sk_c1) != identity )
| ( multiply(X4_10,inverse(X4_10)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1393,c_1407,c_1393,c_1407,c_1393,c_1407,c_1340]) ).
tff(c_1443,plain,
! [X4_10] :
( ( multiply(inverse(X4_10),sk_c1) != identity )
| ( multiply(X4_10,inverse(X4_10)) != identity ) ),
inference(splitLeft,[status(thm)],[c_1442]) ).
tff(c_6110,plain,
! [X4_100] : ( inverse(multiply(sk_c1,X4_100)) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_1802,c_3222,c_1443]) ).
tff(c_6128,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_1802,c_6110]) ).
tff(c_6143,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1726,c_6128]) ).
tff(c_6946,plain,
! [X1_118] :
( ( inverse(X1_118) != sk_c1 )
| ( multiply(X1_118,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_1442]) ).
tff(c_6949,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1438,c_6946]) ).
tff(c_6965,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1434,c_6949]) ).
tff(c_6967,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_38,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_6979,plain,
inverse(sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_6967,c_38]) ).
tff(c_6983,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_6979,c_4]) ).
tff(c_7033,plain,
! [X_119,Y_120,Z_121] : ( multiply(multiply(X_119,Y_120),Z_121) = multiply(X_119,multiply(Y_120,Z_121)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_7060,plain,
! [Z_121] : ( multiply(sk_c6,multiply(sk_c8,Z_121)) = multiply(identity,Z_121) ),
inference(superposition,[status(thm),theory(equality)],[c_6983,c_7033]) ).
tff(c_7278,plain,
! [Z_127] : ( multiply(sk_c6,multiply(sk_c8,Z_127)) = Z_127 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_7060]) ).
tff(c_7296,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_114,c_7278]) ).
tff(c_36,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_6995,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_6967,c_36]) ).
tff(c_6999,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_6995,c_4]) ).
tff(c_7293,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_6999,c_7278]) ).
tff(c_7308,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_7296,c_7293]) ).
tff(c_34,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_7010,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_6967,c_34]) ).
tff(c_7339,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_7308,c_7010]) ).
tff(c_7075,plain,
! [Z_121] : ( multiply(sk_c8,multiply(sk_c1,Z_121)) = multiply(identity,Z_121) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_7033]) ).
tff(c_7092,plain,
! [Z_121] : ( multiply(sk_c8,multiply(sk_c1,Z_121)) = Z_121 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_7075]) ).
tff(c_7351,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_7339,c_7092]) ).
tff(c_7090,plain,
! [Z_121] : ( multiply(sk_c6,multiply(sk_c8,Z_121)) = Z_121 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_7060]) ).
tff(c_7364,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_7351,c_7090]) ).
tff(c_7371,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6983,c_7364]) ).
tff(c_32,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_7017,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_6967,c_32]) ).
tff(c_7378,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_7371,c_7017]) ).
tff(c_7384,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_7378]) ).
tff(c_7373,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_7371,c_7351]) ).
tff(c_7428,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_7384,c_7296,c_7384,c_7373]) ).
tff(c_7432,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_7428,c_7384]) ).
tff(c_7379,plain,
multiply(sk_c1,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_7371,c_6967]) ).
tff(c_7469,plain,
multiply(sk_c1,identity) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_7432,c_7379]) ).
tff(c_7392,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_7384,c_6979]) ).
tff(c_7429,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_7428,c_7428,c_7392]) ).
tff(c_7394,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_7384,c_110]) ).
tff(c_7417,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_7394,c_4]) ).
tff(c_7440,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_7428,c_7417]) ).
tff(c_7081,plain,
! [X_2,Z_121] : ( multiply(inverse(X_2),multiply(X_2,Z_121)) = multiply(identity,Z_121) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_7033]) ).
tff(c_7470,plain,
! [X_130,Z_131] : ( multiply(inverse(X_130),multiply(X_130,Z_131)) = Z_131 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_7081]) ).
tff(c_7494,plain,
multiply(inverse(sk_c1),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_7440,c_7470]) ).
tff(c_7516,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_7429,c_7494]) ).
tff(c_7518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7469,c_7516]) ).
tff(c_7519,plain,
inverse(sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_7524,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_7519,c_4]) ).
tff(c_8501,plain,
! [X_150,Y_151,Z_152] : ( multiply(multiply(X_150,Y_151),Z_152) = multiply(X_150,multiply(Y_151,Z_152)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_8531,plain,
! [Z_152] : ( multiply(sk_c6,multiply(sk_c8,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_7524,c_8501]) ).
tff(c_9091,plain,
! [Z_168] : ( multiply(sk_c6,multiply(sk_c8,Z_168)) = Z_168 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8531]) ).
tff(c_9115,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_114,c_9091]) ).
tff(c_7520,plain,
multiply(sk_c2,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_8481,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_7520,c_46]) ).
tff(c_48,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_7533,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_7520,c_48]) ).
tff(c_7537,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_7533,c_4]) ).
tff(c_8528,plain,
! [Z_152] : ( multiply(sk_c8,multiply(sk_c4,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_7537,c_8501]) ).
tff(c_9067,plain,
! [Z_167] : ( multiply(sk_c8,multiply(sk_c4,Z_167)) = Z_167 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8528]) ).
tff(c_9079,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_8481,c_9067]) ).
tff(c_9103,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9079,c_9091]) ).
tff(c_9119,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_7524,c_9103]) ).
tff(c_44,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_8487,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_7520,c_44]) ).
tff(c_9122,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_9119,c_8487]) ).
tff(c_9129,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9122]) ).
tff(c_9120,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_9119,c_9079]) ).
tff(c_9251,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9115,c_9129,c_9129,c_9120]) ).
tff(c_7593,plain,
! [X_132,Y_133,Z_134] : ( multiply(multiply(X_132,Y_133),Z_134) = multiply(X_132,multiply(Y_133,Z_134)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_7626,plain,
! [Z_134] : ( multiply(sk_c6,multiply(sk_c8,Z_134)) = multiply(identity,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_7524,c_7593]) ).
tff(c_7846,plain,
! [Z_141] : ( multiply(sk_c6,multiply(sk_c8,Z_141)) = Z_141 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_7626]) ).
tff(c_7867,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_114,c_7846]) ).
tff(c_7864,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_7537,c_7846]) ).
tff(c_7879,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_7867,c_7864]) ).
tff(c_7572,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_7520,c_46]) ).
tff(c_8015,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_7879,c_7572]) ).
tff(c_7635,plain,
! [Z_134] : ( multiply(sk_c8,multiply(sk_c1,Z_134)) = multiply(identity,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_7593]) ).
tff(c_7652,plain,
! [Z_134] : ( multiply(sk_c8,multiply(sk_c1,Z_134)) = Z_134 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_7635]) ).
tff(c_8027,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_8015,c_7652]) ).
tff(c_7651,plain,
! [Z_134] : ( multiply(sk_c6,multiply(sk_c8,Z_134)) = Z_134 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_7626]) ).
tff(c_8037,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8027,c_7651]) ).
tff(c_8046,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_7524,c_8037]) ).
tff(c_7577,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_7520,c_44]) ).
tff(c_8091,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_8046,c_7577]) ).
tff(c_8099,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8091]) ).
tff(c_40,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_7565,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_7656,plain,
! [Z_135] : ( multiply(sk_c8,multiply(sk_c1,Z_135)) = Z_135 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_7635]) ).
tff(c_7668,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_7565,c_7656]) ).
tff(c_7858,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_7668,c_7846]) ).
tff(c_8148,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_8099,c_7867,c_8046,c_7858]) ).
tff(c_8109,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8099,c_110]) ).
tff(c_8124,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8109,c_4]) ).
tff(c_8165,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8148,c_8124]) ).
tff(c_8151,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_8148,c_8109]) ).
tff(c_8153,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_8148,c_8099]) ).
tff(c_8095,plain,
multiply(sk_c3,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8046,c_125]) ).
tff(c_8270,plain,
multiply(sk_c3,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8153,c_8095]) ).
tff(c_7641,plain,
! [X_2,Z_134] : ( multiply(inverse(X_2),multiply(X_2,Z_134)) = multiply(identity,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_7593]) ).
tff(c_7654,plain,
! [X_2,Z_134] : ( multiply(inverse(X_2),multiply(X_2,Z_134)) = Z_134 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_7641]) ).
tff(c_8274,plain,
multiply(inverse(sk_c3),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_8270,c_7654]) ).
tff(c_8192,plain,
! [X_145,Z_146] : ( multiply(inverse(X_145),multiply(X_145,Z_146)) = Z_146 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_7641]) ).
tff(c_8225,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_101,c_8192]) ).
tff(c_8436,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_8274,c_8225]) ).
tff(c_8451,plain,
inverse(sk_c1) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_8436,c_97]) ).
tff(c_8454,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_8151,c_8451]) ).
tff(c_8093,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_8046,c_7520]) ).
tff(c_8448,plain,
multiply(sk_c1,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_8436,c_8093]) ).
tff(c_8472,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8165,c_8454,c_8448]) ).
tff(c_8473,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_7545,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_7520,c_54]) ).
tff(c_7549,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_7545,c_4]) ).
tff(c_8525,plain,
! [Z_152] : ( multiply(sk_c6,multiply(sk_c5,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_7549,c_8501]) ).
tff(c_9044,plain,
! [Z_166] : ( multiply(sk_c6,multiply(sk_c5,Z_166)) = Z_166 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8525]) ).
tff(c_9056,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_8473,c_9044]) ).
tff(c_9121,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9119,c_9056]) ).
tff(c_9345,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9251,c_9251,c_9121]) ).
tff(c_9258,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9251,c_9129]) ).
tff(c_8474,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_9124,plain,
multiply(sk_c1,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_9119,c_8474]) ).
tff(c_9380,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9345,c_9258,c_9124]) ).
tff(c_9382,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_14,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_9396,plain,
inverse(sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_9382,c_14]) ).
tff(c_9400,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9396,c_4]) ).
tff(c_9821,plain,
! [X_182,Y_183,Z_184] : ( multiply(multiply(X_182,Y_183),Z_184) = multiply(X_182,multiply(Y_183,Z_184)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9866,plain,
! [X_2,Z_184] : ( multiply(inverse(X_2),multiply(X_2,Z_184)) = multiply(identity,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9821]) ).
tff(c_9988,plain,
! [X_189,Z_190] : ( multiply(inverse(X_189),multiply(X_189,Z_190)) = Z_190 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9866]) ).
tff(c_10066,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_114,c_9988]) ).
tff(c_10094,plain,
multiply(sk_c6,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9396,c_10066]) ).
tff(c_9409,plain,
multiply(sk_c2,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_9863,plain,
! [Z_184] : ( multiply(sk_c3,multiply(sk_c2,Z_184)) = multiply(identity,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_9821]) ).
tff(c_9883,plain,
! [Z_185] : ( multiply(sk_c3,multiply(sk_c2,Z_185)) = Z_185 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9863]) ).
tff(c_9895,plain,
multiply(sk_c3,sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_9409,c_9883]) ).
tff(c_10024,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9895,c_9988]) ).
tff(c_10088,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10024]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_9440,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9382,c_16]) ).
tff(c_9381,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_9386,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9381,c_4]) ).
tff(c_9464,plain,
! [X_173,Y_174,Z_175] : ( multiply(multiply(X_173,Y_174),Z_175) = multiply(X_173,multiply(Y_174,Z_175)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9500,plain,
! [Z_175] : ( multiply(sk_c6,multiply(sk_c5,Z_175)) = multiply(identity,Z_175) ),
inference(superposition,[status(thm),theory(equality)],[c_9386,c_9464]) ).
tff(c_9575,plain,
! [Z_178] : ( multiply(sk_c6,multiply(sk_c5,Z_178)) = Z_178 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9500]) ).
tff(c_9587,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9440,c_9575]) ).
tff(c_9417,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_9506,plain,
! [Z_175] : ( multiply(sk_c8,multiply(sk_c1,Z_175)) = multiply(identity,Z_175) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_9464]) ).
tff(c_9527,plain,
! [Z_176] : ( multiply(sk_c8,multiply(sk_c1,Z_176)) = Z_176 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9506]) ).
tff(c_9539,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9417,c_9527]) ).
tff(c_9512,plain,
! [X_2,Z_175] : ( multiply(inverse(X_2),multiply(X_2,Z_175)) = multiply(identity,Z_175) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9464]) ).
tff(c_9598,plain,
! [X_179,Z_180] : ( multiply(inverse(X_179),multiply(X_179,Z_180)) = Z_180 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9512]) ).
tff(c_9628,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_9539,c_9598]) ).
tff(c_9694,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9587,c_9396,c_9628]) ).
tff(c_9509,plain,
! [Z_175] : ( multiply(sk_c3,multiply(sk_c2,Z_175)) = multiply(identity,Z_175) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_9464]) ).
tff(c_9552,plain,
! [Z_177] : ( multiply(sk_c3,multiply(sk_c2,Z_177)) = Z_177 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9509]) ).
tff(c_9564,plain,
multiply(sk_c3,sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_9409,c_9552]) ).
tff(c_9622,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9564,c_9598]) ).
tff(c_9693,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9622]) ).
tff(c_9713,plain,
multiply(identity,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9693,c_9382]) ).
tff(c_9716,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9713]) ).
tff(c_9771,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9694,c_9716]) ).
tff(c_9773,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_9803,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_9773,c_32]) ).
tff(c_10104,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10088,c_9803]) ).
tff(c_10113,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10104]) ).
tff(c_9772,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_9811,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9382,c_10]) ).
tff(c_10033,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_9811,c_9988]) ).
tff(c_10089,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_9772,c_10033]) ).
tff(c_10241,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10094,c_10113,c_10113,c_10088,c_10089]) ).
tff(c_9794,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9773,c_40]) ).
tff(c_10039,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9794,c_9988]) ).
tff(c_10090,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9381,c_10039]) ).
tff(c_10292,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10241,c_10241,c_10088,c_10090]) ).
tff(c_10246,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10241,c_10113]) ).
tff(c_10106,plain,
multiply(sk_c1,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10088,c_9773]) ).
tff(c_10438,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10292,c_10246,c_10106]) ).
tff(c_10440,plain,
multiply(sk_c2,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_10479,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10440,c_46]) ).
tff(c_10439,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_10444,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10439,c_4]) ).
tff(c_10496,plain,
! [X_194,Y_195,Z_196] : ( multiply(multiply(X_194,Y_195),Z_196) = multiply(X_194,multiply(Y_195,Z_196)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10523,plain,
! [Z_196] : ( multiply(sk_c8,multiply(sk_c4,Z_196)) = multiply(identity,Z_196) ),
inference(superposition,[status(thm),theory(equality)],[c_10444,c_10496]) ).
tff(c_10594,plain,
! [Z_199] : ( multiply(sk_c8,multiply(sk_c4,Z_199)) = Z_199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10523]) ).
tff(c_10606,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10479,c_10594]) ).
tff(c_10526,plain,
! [Z_196] : ( multiply(sk_c6,multiply(sk_c8,Z_196)) = multiply(identity,Z_196) ),
inference(superposition,[status(thm),theory(equality)],[c_9400,c_10496]) ).
tff(c_10659,plain,
! [Z_202] : ( multiply(sk_c6,multiply(sk_c8,Z_202)) = Z_202 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10526]) ).
tff(c_10671,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10606,c_10659]) ).
tff(c_10690,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9400,c_10671]) ).
tff(c_10484,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10440,c_44]) ).
tff(c_10696,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10690,c_10484]) ).
tff(c_10704,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10696]) ).
tff(c_10701,plain,
multiply(identity,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10690,c_9382]) ).
tff(c_10705,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10701]) ).
tff(c_10772,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10704,c_10705]) ).
tff(c_10773,plain,
inverse(sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_10778,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10773,c_4]) ).
tff(c_23653,plain,
! [X_358,Y_359,Z_360] : ( multiply(multiply(X_358,Y_359),Z_360) = multiply(X_358,multiply(Y_359,Z_360)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_23683,plain,
! [Z_360] : ( multiply(sk_c6,multiply(sk_c8,Z_360)) = multiply(identity,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_10778,c_23653]) ).
tff(c_23901,plain,
! [Z_366] : ( multiply(sk_c6,multiply(sk_c8,Z_366)) = Z_366 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23683]) ).
tff(c_23919,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_114,c_23901]) ).
tff(c_21798,plain,
! [X_317,Y_318,Z_319] : ( multiply(multiply(X_317,Y_318),Z_319) = multiply(X_317,multiply(Y_318,Z_319)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21831,plain,
! [Z_319] : ( multiply(sk_c6,multiply(sk_c8,Z_319)) = multiply(identity,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_10778,c_21798]) ).
tff(c_22228,plain,
! [Z_332] : ( multiply(sk_c6,multiply(sk_c8,Z_332)) = Z_332 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21831]) ).
tff(c_22246,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_114,c_22228]) ).
tff(c_10774,plain,
multiply(sk_c3,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_72,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_21754,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10774,c_72]) ).
tff(c_21758,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21754,c_4]) ).
tff(c_22243,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_21758,c_22228]) ).
tff(c_22258,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_22246,c_22243]) ).
tff(c_10801,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_10861,plain,
! [X_205,Y_206,Z_207] : ( multiply(multiply(X_205,Y_206),Z_207) = multiply(X_205,multiply(Y_206,Z_207)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10903,plain,
! [Z_207] : ( multiply(sk_c8,multiply(sk_c1,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_10861]) ).
tff(c_11079,plain,
! [Z_213] : ( multiply(sk_c8,multiply(sk_c1,Z_213)) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10903]) ).
tff(c_11091,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10801,c_11079]) ).
tff(c_10782,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_11118,plain,
! [Z_215] : ( multiply(sk_c1,multiply(sk_c7,Z_215)) = multiply(sk_c8,Z_215) ),
inference(superposition,[status(thm),theory(equality)],[c_10801,c_10861]) ).
tff(c_11136,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c1,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_10782,c_11118]) ).
tff(c_11140,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11091,c_11136]) ).
tff(c_10920,plain,
! [Z_207] : ( multiply(sk_c8,multiply(sk_c1,Z_207)) = Z_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10903]) ).
tff(c_11151,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11140,c_10920]) ).
tff(c_70,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_10855,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10774,c_70]) ).
tff(c_10807,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10774,c_72]) ).
tff(c_10811,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10807,c_4]) ).
tff(c_10888,plain,
! [Z_207] : ( multiply(sk_c8,multiply(sk_c4,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_10811,c_10861]) ).
tff(c_11295,plain,
! [Z_219] : ( multiply(sk_c8,multiply(sk_c4,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10888]) ).
tff(c_11307,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10855,c_11295]) ).
tff(c_11311,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11151,c_11307]) ).
tff(c_11325,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11311,c_10773]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_10819,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10774,c_78]) ).
tff(c_10823,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10819,c_4]) ).
tff(c_10909,plain,
! [X_2,Z_207] : ( multiply(inverse(X_2),multiply(X_2,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10861]) ).
tff(c_20243,plain,
! [X_296,Z_297] : ( multiply(inverse(X_296),multiply(X_296,Z_297)) = Z_297 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10909]) ).
tff(c_20303,plain,
multiply(inverse(sk_c6),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10823,c_20243]) ).
tff(c_20333,plain,
multiply(sk_c6,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11325,c_20303]) ).
tff(c_10796,plain,
multiply(sk_c2,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_10906,plain,
! [Z_207] : ( multiply(sk_c3,multiply(sk_c2,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_10861]) ).
tff(c_11102,plain,
! [Z_214] : ( multiply(sk_c3,multiply(sk_c2,Z_214)) = Z_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10906]) ).
tff(c_11114,plain,
multiply(sk_c3,sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_10796,c_11102]) ).
tff(c_20291,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11114,c_20243]) ).
tff(c_20331,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20291]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_10849,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10774,c_76]) ).
tff(c_10885,plain,
! [Z_207] : ( multiply(sk_c6,multiply(sk_c5,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_10823,c_10861]) ).
tff(c_11165,plain,
! [Z_216] : ( multiply(sk_c6,multiply(sk_c5,Z_216)) = Z_216 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10885]) ).
tff(c_11177,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10849,c_11165]) ).
tff(c_20340,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20331,c_11177]) ).
tff(c_20435,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20333,c_20340]) ).
tff(c_20449,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20435,c_20333]) ).
tff(c_11326,plain,
multiply(sk_c6,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11311,c_114]) ).
tff(c_20264,plain,
multiply(inverse(sk_c6),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_11326,c_20243]) ).
tff(c_20325,plain,
multiply(sk_c6,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11325,c_20264]) ).
tff(c_20675,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20449,c_20435,c_20325]) ).
tff(c_20455,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20435,c_20435,c_11325]) ).
tff(c_20686,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20675,c_20675,c_20455]) ).
tff(c_11327,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11311,c_110]) ).
tff(c_20454,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20435,c_11327]) ).
tff(c_20476,plain,
multiply(sk_c5,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20454,c_4]) ).
tff(c_20731,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20675,c_20476]) ).
tff(c_20689,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20675,c_20435]) ).
tff(c_11434,plain,
! [X_220,Z_221] : ( multiply(inverse(X_220),multiply(X_220,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10909]) ).
tff(c_11890,plain,
! [X_224] : ( multiply(inverse(identity),X_224) = X_224 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_11434]) ).
tff(c_10922,plain,
! [X_2,Z_207] : ( multiply(inverse(X_2),multiply(X_2,Z_207)) = Z_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10909]) ).
tff(c_11967,plain,
! [X_226] : ( multiply(inverse(inverse(identity)),X_226) = X_226 ),
inference(superposition,[status(thm),theory(equality)],[c_11890,c_10922]) ).
tff(c_11988,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11967,c_4]) ).
tff(c_12046,plain,
! [X_227,Z_228] : ( multiply(inverse(inverse(X_227)),Z_228) = multiply(X_227,Z_228) ),
inference(superposition,[status(thm),theory(equality)],[c_10922,c_11434]) ).
tff(c_12070,plain,
! [X_227] : ( multiply(X_227,inverse(X_227)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_12046,c_4]) ).
tff(c_11351,plain,
multiply(sk_c6,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11325,c_4]) ).
tff(c_11315,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11311,c_11311,c_11091]) ).
tff(c_11400,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11351,c_11315]) ).
tff(c_11482,plain,
multiply(inverse(sk_c6),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10823,c_11434]) ).
tff(c_11506,plain,
multiply(sk_c6,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11325,c_11482]) ).
tff(c_11416,plain,
multiply(sk_c5,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11400,c_10849]) ).
tff(c_11524,plain,
multiply(inverse(sk_c5),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11416,c_10922]) ).
tff(c_11533,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11506,c_10819,c_11524]) ).
tff(c_11413,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11400,c_11177]) ).
tff(c_11670,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11533,c_11533,c_11413]) ).
tff(c_11458,plain,
multiply(inverse(sk_c6),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_11326,c_11434]) ).
tff(c_11503,plain,
multiply(sk_c6,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11325,c_11458]) ).
tff(c_11684,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11670,c_11533,c_11503]) ).
tff(c_11695,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11684,c_11533]) ).
tff(c_10879,plain,
! [Z_207] : ( multiply(sk_c5,multiply(sk_c6,Z_207)) = multiply(sk_c7,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_10849,c_10861]) ).
tff(c_11795,plain,
! [Z_207] : ( multiply(sk_c1,multiply(sk_c1,Z_207)) = Z_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_11695,c_11684,c_2,c_11400,c_10879]) ).
tff(c_11494,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11434]) ).
tff(c_12056,plain,
! [X_227] : ( multiply(X_227,identity) = X_227 ),
inference(superposition,[status(thm),theory(equality)],[c_12046,c_11494]) ).
tff(c_12349,plain,
! [X_232,Y_233,Z_234] : ( multiply(inverse(multiply(X_232,Y_233)),multiply(X_232,multiply(Y_233,Z_234))) = Z_234 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_11434]) ).
tff(c_12385,plain,
! [X_232,X_227] : ( multiply(inverse(multiply(X_232,X_227)),multiply(X_232,identity)) = inverse(X_227) ),
inference(superposition,[status(thm),theory(equality)],[c_12070,c_12349]) ).
tff(c_14774,plain,
! [X_258,X_259] : ( multiply(inverse(multiply(X_258,X_259)),X_258) = inverse(X_259) ),
inference(demodulation,[status(thm),theory(equality)],[c_12056,c_12385]) ).
tff(c_14958,plain,
! [Z_207] : ( multiply(inverse(Z_207),sk_c1) = inverse(multiply(sk_c1,Z_207)) ),
inference(superposition,[status(thm),theory(equality)],[c_11795,c_14774]) ).
tff(c_11189,plain,
! [Z_217] : ( multiply(sk_c8,multiply(sk_c4,Z_217)) = Z_217 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10888]) ).
tff(c_11201,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10855,c_11189]) ).
tff(c_11205,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11151,c_11201]) ).
tff(c_11221,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11205,c_110]) ).
tff(c_68,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_10843,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10774,c_68]) ).
tff(c_10925,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10782,c_10843,c_10773,c_80]) ).
tff(c_11044,plain,
! [X3_212] :
( ( multiply(X3_212,sk_c7) != sk_c8 )
| ( inverse(X3_212) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_10925]) ).
tff(c_11063,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10801,c_11044]) ).
tff(c_11077,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110,c_11063]) ).
tff(c_11078,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_10925]) ).
tff(c_11271,plain,
! [X2_218] :
( ( inverse(X2_218) != sk_c6 )
| ( multiply(X2_218,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_11078]) ).
tff(c_11274,plain,
inverse(sk_c1) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11140,c_11271]) ).
tff(c_11293,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11221,c_11274]) ).
tff(c_11294,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_11078]) ).
tff(c_11377,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c6) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11311,c_11311,c_11311,c_11294]) ).
tff(c_11378,plain,
! [X4_10] :
( ( multiply(inverse(X4_10),sk_c6) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_11377]) ).
tff(c_20189,plain,
! [X4_295] : ( inverse(multiply(sk_c1,X4_295)) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_12070,c_11400,c_14958,c_11695,c_11400,c_11378]) ).
tff(c_20217,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_12070,c_20189]) ).
tff(c_20234,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11988,c_20217]) ).
tff(c_20235,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_11377]) ).
tff(c_21710,plain,
! [X1_316] :
( ( inverse(X1_316) != sk_c1 )
| ( multiply(X1_316,sk_c1) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20689,c_20331,c_20689,c_20235]) ).
tff(c_21717,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_20731,c_21710]) ).
tff(c_21734,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20686,c_21717]) ).
tff(c_21736,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_21773,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_21736,c_34]) ).
tff(c_22267,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22258,c_21773]) ).
tff(c_21837,plain,
! [Z_319] : ( multiply(sk_c8,multiply(sk_c1,Z_319)) = multiply(identity,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_21798]) ).
tff(c_21854,plain,
! [Z_319] : ( multiply(sk_c8,multiply(sk_c1,Z_319)) = Z_319 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21837]) ).
tff(c_22398,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_22267,c_21854]) ).
tff(c_21853,plain,
! [Z_319] : ( multiply(sk_c6,multiply(sk_c8,Z_319)) = Z_319 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21831]) ).
tff(c_22408,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22398,c_21853]) ).
tff(c_22414,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10778,c_22408]) ).
tff(c_21784,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10774,c_68]) ).
tff(c_22421,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22414,c_21784]) ).
tff(c_22429,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22421]) ).
tff(c_22464,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_22429,c_10773]) ).
tff(c_22463,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22429,c_10778]) ).
tff(c_22280,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_22267,c_21854]) ).
tff(c_22290,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22280,c_21853]) ).
tff(c_22296,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10778,c_22290]) ).
tff(c_22303,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22296,c_21784]) ).
tff(c_22311,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22303]) ).
tff(c_22345,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22311,c_10778]) ).
tff(c_22346,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_22311,c_10773]) ).
tff(c_21735,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_21779,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10774,c_76]) ).
tff(c_21897,plain,
! [Z_322] : ( multiply(sk_c6,multiply(sk_c8,Z_322)) = Z_322 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21831]) ).
tff(c_21915,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_114,c_21897]) ).
tff(c_21912,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_21758,c_21897]) ).
tff(c_21943,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21915,c_21912]) ).
tff(c_21952,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_21943,c_21773]) ).
tff(c_21964,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_21952,c_21854]) ).
tff(c_21978,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_21964,c_21853]) ).
tff(c_21986,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10778,c_21978]) ).
tff(c_21992,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_21986,c_21784]) ).
tff(c_21998,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21992]) ).
tff(c_21859,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10782,c_21784,c_10773,c_80]) ).
tff(c_21860,plain,
! [X3_7] :
( ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_21859]) ).
tff(c_21975,plain,
inverse(sk_c8) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_21964,c_21860]) ).
tff(c_21985,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10773,c_21975]) ).
tff(c_22015,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21998,c_21985]) ).
tff(c_22016,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_21859]) ).
tff(c_22135,plain,
! [X2_328] :
( ( inverse(X2_328) != sk_c6 )
| ( multiply(X2_328,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_22016]) ).
tff(c_22145,plain,
inverse(sk_c5) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_21779,c_22135]) ).
tff(c_22157,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21735,c_22145]) ).
tff(c_22158,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_22016]) ).
tff(c_22276,plain,
! [X4_10] :
( ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_22158]) ).
tff(c_22377,plain,
! [X4_334] :
( ( multiply(inverse(X4_334),sk_c6) != identity )
| ( multiply(X4_334,inverse(X4_334)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22296,c_22311,c_22296,c_22276]) ).
tff(c_22381,plain,
( ( multiply(sk_c6,sk_c6) != identity )
| ( multiply(sk_c6,inverse(sk_c6)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_22346,c_22377]) ).
tff(c_22393,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22345,c_22346,c_22345,c_22381]) ).
tff(c_22394,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_22158]) ).
tff(c_22495,plain,
! [X1_336] :
( ( inverse(X1_336) != sk_c6 )
| ( multiply(X1_336,sk_c6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22429,c_22414,c_22429,c_22394]) ).
tff(c_22498,plain,
inverse(sk_c6) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22463,c_22495]) ).
tff(c_22514,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22464,c_22498]) ).
tff(c_22515,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_22520,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22515,c_4]) ).
tff(c_23916,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_22520,c_23901]) ).
tff(c_24083,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_23919,c_23916]) ).
tff(c_23623,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10774,c_70]) ).
tff(c_24084,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_24083,c_23623]) ).
tff(c_23689,plain,
! [Z_360] : ( multiply(sk_c8,multiply(sk_c1,Z_360)) = multiply(identity,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_23653]) ).
tff(c_23706,plain,
! [Z_360] : ( multiply(sk_c8,multiply(sk_c1,Z_360)) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23689]) ).
tff(c_24096,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24084,c_23706]) ).
tff(c_23705,plain,
! [Z_360] : ( multiply(sk_c6,multiply(sk_c8,Z_360)) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23683]) ).
tff(c_24106,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24096,c_23705]) ).
tff(c_24112,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10778,c_24106]) ).
tff(c_23636,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10774,c_68]) ).
tff(c_24116,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24112,c_23636]) ).
tff(c_24122,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24116]) ).
tff(c_24130,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24122,c_10773]) ).
tff(c_24129,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24122,c_10778]) ).
tff(c_23695,plain,
! [X_2,Z_360] : ( multiply(inverse(X_2),multiply(X_2,Z_360)) = multiply(identity,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23653]) ).
tff(c_24181,plain,
! [X_369,Z_370] : ( multiply(inverse(X_369),multiply(X_369,Z_370)) = Z_370 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23695]) ).
tff(c_24199,plain,
multiply(inverse(sk_c6),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_24129,c_24181]) ).
tff(c_24242,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_23919,c_24130,c_24199]) ).
tff(c_24263,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_24242,c_24122]) ).
tff(c_24114,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24112,c_24096]) ).
tff(c_24299,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_24263,c_24263,c_24114]) ).
tff(c_22528,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_22582,plain,
! [X_337,Y_338,Z_339] : ( multiply(multiply(X_337,Y_338),Z_339) = multiply(X_337,multiply(Y_338,Z_339)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_22621,plain,
! [Z_339] : ( multiply(sk_c8,multiply(sk_c1,Z_339)) = multiply(identity,Z_339) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_22582]) ).
tff(c_22642,plain,
! [Z_340] : ( multiply(sk_c8,multiply(sk_c1,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22621]) ).
tff(c_22654,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22528,c_22642]) ).
tff(c_22847,plain,
! [Z_347] : ( multiply(sk_c1,multiply(sk_c7,Z_347)) = multiply(sk_c8,Z_347) ),
inference(superposition,[status(thm),theory(equality)],[c_22528,c_22582]) ).
tff(c_22865,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c1,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_10782,c_22847]) ).
tff(c_22869,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22654,c_22865]) ).
tff(c_22638,plain,
! [Z_339] : ( multiply(sk_c8,multiply(sk_c1,Z_339)) = Z_339 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22621]) ).
tff(c_22881,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22869,c_22638]) ).
tff(c_22615,plain,
! [Z_339] : ( multiply(sk_c6,multiply(sk_c8,Z_339)) = multiply(identity,Z_339) ),
inference(superposition,[status(thm),theory(equality)],[c_10778,c_22582]) ).
tff(c_22822,plain,
! [Z_346] : ( multiply(sk_c6,multiply(sk_c8,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22615]) ).
tff(c_22843,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_114,c_22822]) ).
tff(c_22840,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_22520,c_22822]) ).
tff(c_22888,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_22843,c_22840]) ).
tff(c_22516,plain,
multiply(sk_c2,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_22568,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_22516,c_46]) ).
tff(c_22889,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22888,c_22568]) ).
tff(c_22901,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_22889,c_22638]) ).
tff(c_23011,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_22881,c_22901]) ).
tff(c_23023,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23011,c_10773]) ).
tff(c_23034,plain,
multiply(sk_c6,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23023,c_4]) ).
tff(c_23016,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23011,c_23011,c_22654]) ).
tff(c_23087,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23034,c_23016]) ).
tff(c_23102,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_23087,c_22516]) ).
tff(c_22627,plain,
! [X_2,Z_339] : ( multiply(inverse(X_2),multiply(X_2,Z_339)) = multiply(identity,Z_339) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22582]) ).
tff(c_22640,plain,
! [X_2,Z_339] : ( multiply(inverse(X_2),multiply(X_2,Z_339)) = Z_339 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22627]) ).
tff(c_23133,plain,
! [X_349,Z_350] : ( multiply(inverse(X_349),multiply(X_349,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22627]) ).
tff(c_23435,plain,
! [X_355,Z_356] : ( multiply(inverse(inverse(X_355)),Z_356) = multiply(X_355,Z_356) ),
inference(superposition,[status(thm),theory(equality)],[c_22640,c_23133]) ).
tff(c_23166,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23133]) ).
tff(c_23494,plain,
! [X_357] : ( multiply(X_357,identity) = X_357 ),
inference(superposition,[status(thm),theory(equality)],[c_23435,c_23166]) ).
tff(c_23160,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_101,c_23133]) ).
tff(c_23511,plain,
inverse(sk_c3) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_23494,c_23160]) ).
tff(c_23589,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23511,c_4]) ).
tff(c_23595,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23102,c_23589]) ).
tff(c_23597,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_24118,plain,
multiply(sk_c1,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24112,c_23597]) ).
tff(c_24172,plain,
multiply(sk_c1,identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24122,c_24118]) ).
tff(c_24257,plain,
multiply(sk_c1,identity) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_24242,c_24172]) ).
tff(c_24355,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24299,c_24257]) ).
tff(c_24357,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_24733,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24357,c_10]) ).
tff(c_12,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_24694,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_24357,c_12]) ).
tff(c_24698,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24694,c_4]) ).
tff(c_24753,plain,
! [X_380,Y_381,Z_382] : ( multiply(multiply(X_380,Y_381),Z_382) = multiply(X_380,multiply(Y_381,Z_382)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24777,plain,
! [Z_382] : ( multiply(sk_c8,multiply(sk_c4,Z_382)) = multiply(identity,Z_382) ),
inference(superposition,[status(thm),theory(equality)],[c_24698,c_24753]) ).
tff(c_24835,plain,
! [Z_385] : ( multiply(sk_c8,multiply(sk_c4,Z_385)) = Z_385 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24777]) ).
tff(c_24847,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24733,c_24835]) ).
tff(c_24783,plain,
! [Z_382] : ( multiply(sk_c6,multiply(sk_c8,Z_382)) = multiply(identity,Z_382) ),
inference(superposition,[status(thm),theory(equality)],[c_10778,c_24753]) ).
tff(c_24858,plain,
! [Z_386] : ( multiply(sk_c6,multiply(sk_c8,Z_386)) = Z_386 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24783]) ).
tff(c_24870,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24847,c_24858]) ).
tff(c_24886,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10778,c_24870]) ).
tff(c_24892,plain,
multiply(identity,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24886,c_24357]) ).
tff(c_24895,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24892]) ).
tff(c_24723,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10774,c_68]) ).
tff(c_24890,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24886,c_24723]) ).
tff(c_24894,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24890]) ).
tff(c_24978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24895,c_24894]) ).
tff(c_24979,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_24984,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24979,c_4]) ).
tff(c_24980,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_26,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_24988,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_24989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24980,c_24988]) ).
tff(c_24990,plain,
inverse(sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_24995,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24990,c_4]) ).
tff(c_25089,plain,
! [Z_391] : ( multiply(sk_c6,multiply(sk_c8,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_24995,c_25062]) ).
tff(c_25148,plain,
! [Z_394] : ( multiply(sk_c6,multiply(sk_c8,Z_394)) = Z_394 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25089]) ).
tff(c_25160,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_24984,c_25148]) ).
tff(c_22,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_25045,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24980,c_22]) ).
tff(c_25092,plain,
! [Z_391] : ( multiply(sk_c8,multiply(sk_c4,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_24984,c_25062]) ).
tff(c_25285,plain,
! [Z_397] : ( multiply(sk_c8,multiply(sk_c4,Z_397)) = Z_397 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25092]) ).
tff(c_25300,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_25045,c_25285]) ).
tff(c_25107,plain,
! [Z_391] : ( multiply(sk_c6,multiply(sk_c8,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25089]) ).
tff(c_25307,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_25300,c_25107]) ).
tff(c_25313,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24995,c_25307]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_25032,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24980,c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_24999,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_24980,c_30]) ).
tff(c_25003,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24999,c_4]) ).
tff(c_25086,plain,
! [Z_391] : ( multiply(sk_c6,multiply(sk_c5,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_25003,c_25062]) ).
tff(c_25112,plain,
! [Z_392] : ( multiply(sk_c6,multiply(sk_c5,Z_392)) = Z_392 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25086]) ).
tff(c_25124,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_25032,c_25112]) ).
tff(c_25341,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_25313,c_25124]) ).
tff(c_25345,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_25160,c_25341]) ).
tff(c_20,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_25022,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_24980,c_20]) ).
tff(c_25344,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_25313,c_25022]) ).
tff(c_25346,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25344]) ).
tff(c_25362,plain,
sk_c8 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_25345,c_25346]) ).
tff(c_25357,plain,
inverse(sk_c8) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_25345,c_24990]) ).
tff(c_25378,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_25362,c_25357]) ).
tff(c_25355,plain,
multiply(sk_c4,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25345,c_24995]) ).
tff(c_26900,plain,
multiply(sk_c4,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25362,c_25355]) ).
tff(c_26847,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26811]) ).
tff(c_27168,plain,
! [X_430] : ( multiply(X_430,identity) = X_430 ),
inference(superposition,[status(thm),theory(equality)],[c_27154,c_26847]) ).
tff(c_27609,plain,
! [X_438,Y_439,Z_440] : ( multiply(inverse(multiply(X_438,Y_439)),multiply(X_438,multiply(Y_439,Z_440))) = Z_440 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_26811]) ).
tff(c_27666,plain,
! [X_438,X_430] : ( multiply(inverse(multiply(X_438,X_430)),multiply(X_438,identity)) = inverse(X_430) ),
inference(superposition,[status(thm),theory(equality)],[c_27211,c_27609]) ).
tff(c_30484,plain,
! [X_464,X_465] : ( multiply(inverse(multiply(X_464,X_465)),X_464) = inverse(X_465) ),
inference(demodulation,[status(thm),theory(equality)],[c_27168,c_27666]) ).
tff(c_27733,plain,
! [X_438,X_2] : ( multiply(inverse(multiply(X_438,inverse(X_2))),multiply(X_438,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27609]) ).
tff(c_28133,plain,
! [X_445,X_446] : ( multiply(inverse(multiply(X_445,inverse(X_446))),X_445) = X_446 ),
inference(demodulation,[status(thm),theory(equality)],[c_27168,c_27733]) ).
tff(c_27201,plain,
! [X_430,Z_391] : ( multiply(X_430,multiply(inverse(X_430),Z_391)) = Z_391 ),
inference(superposition,[status(thm),theory(equality)],[c_25110,c_27154]) ).
tff(c_28237,plain,
! [X_447,X_448] : ( multiply(multiply(X_447,inverse(X_448)),X_448) = X_447 ),
inference(superposition,[status(thm),theory(equality)],[c_28133,c_27201]) ).
tff(c_28319,plain,
! [X_447] : ( multiply(multiply(X_447,sk_c4),sk_c4) = X_447 ),
inference(superposition,[status(thm),theory(equality)],[c_25378,c_28237]) ).
tff(c_30520,plain,
! [X_465] : ( multiply(inverse(X_465),sk_c4) = inverse(multiply(sk_c4,X_465)) ),
inference(superposition,[status(thm),theory(equality)],[c_30484,c_28319]) ).
tff(c_25382,plain,
multiply(sk_c4,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25378,c_4]) ).
tff(c_25175,plain,
! [Z_395] : ( multiply(sk_c8,multiply(sk_c4,Z_395)) = Z_395 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25092]) ).
tff(c_25190,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_25045,c_25175]) ).
tff(c_25222,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_25190,c_25107]) ).
tff(c_25229,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24995,c_25222]) ).
tff(c_25234,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_25229,c_25124]) ).
tff(c_25240,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_25160,c_25234]) ).
tff(c_25237,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_25229,c_25022]) ).
tff(c_25241,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25237]) ).
tff(c_25257,plain,
sk_c8 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_25240,c_25241]) ).
tff(c_25165,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25022,c_24990,c_80]) ).
tff(c_25166,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_25165]) ).
tff(c_25233,plain,
multiply(identity,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_25229,c_25166]) ).
tff(c_25239,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25233]) ).
tff(c_25267,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25257,c_25240,c_25239]) ).
tff(c_25268,plain,
! [X3_7,X4_10,X1_8,X2_9] :
( ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_25165]) ).
tff(c_25386,plain,
! [X3_7,X4_10,X1_8,X2_9] :
( ( multiply(X3_7,identity) != sk_c4 )
| ( inverse(X3_7) != sk_c4 )
| ( multiply(inverse(X4_10),sk_c4) != identity )
| ( multiply(X4_10,inverse(X4_10)) != identity )
| ( inverse(X1_8) != sk_c4 )
| ( multiply(X1_8,sk_c4) != identity )
| ( inverse(X2_9) != sk_c4 )
| ( multiply(X2_9,sk_c4) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25345,c_25313,c_25345,c_25362,c_25313,c_25362,c_25313,c_25362,c_25313,c_25362,c_25362,c_25313,c_25268]) ).
tff(c_26784,plain,
! [X2_422] :
( ( inverse(X2_422) != sk_c4 )
| ( multiply(X2_422,sk_c4) != identity ) ),
inference(splitLeft,[status(thm)],[c_25386]) ).
tff(c_26791,plain,
inverse(sk_c4) != sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_25382,c_26784]) ).
tff(c_26808,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25378,c_26791]) ).
tff(c_26809,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != sk_c4 )
| ( multiply(X1_8,sk_c4) != identity )
| ( multiply(inverse(X4_10),sk_c4) != identity )
| ( multiply(X4_10,inverse(X4_10)) != identity )
| ( multiply(X3_7,identity) != sk_c4 )
| ( inverse(X3_7) != sk_c4 ) ),
inference(splitRight,[status(thm)],[c_25386]) ).
tff(c_171842,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != sk_c4 )
| ( multiply(X1_8,sk_c4) != identity )
| ( inverse(multiply(sk_c4,X4_10)) != identity )
| ( sk_c4 != X3_7 )
| ( inverse(X3_7) != sk_c4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27168,c_27211,c_30520,c_26809]) ).
tff(c_171844,plain,
inverse(sk_c4) != sk_c4,
inference(splitLeft,[status(thm)],[c_171842]) ).
tff(c_171846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_171844,c_25378]) ).
tff(c_171847,plain,
! [X4_10,X1_8] :
( ( inverse(multiply(sk_c4,X4_10)) != identity )
| ( inverse(X1_8) != sk_c4 )
| ( multiply(X1_8,sk_c4) != identity ) ),
inference(splitRight,[status(thm)],[c_171842]) ).
tff(c_171849,plain,
! [X1_803] :
( ( inverse(X1_803) != sk_c4 )
| ( multiply(X1_803,sk_c4) != identity ) ),
inference(splitLeft,[status(thm)],[c_171847]) ).
tff(c_171963,plain,
inverse(sk_c4) != sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_26900,c_171849]) ).
tff(c_172004,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25378,c_171963]) ).
tff(c_174213,plain,
! [X4_806] : ( inverse(multiply(sk_c4,X4_806)) != identity ),
inference(splitRight,[status(thm)],[c_171847]) ).
tff(c_174294,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_27211,c_174213]) ).
tff(c_174321,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27051,c_174294]) ).
tff(c_174322,plain,
inverse(sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_174327,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_174322,c_4]) ).
tff(c_174323,plain,
inverse(sk_c2) != sk_c3,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_58,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_205695,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_174323,c_58]) ).
tff(c_60,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_174343,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_174323,c_60]) ).
tff(c_174347,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_174343,c_4]) ).
tff(c_205745,plain,
! [Z_1031] : ( multiply(sk_c8,multiply(sk_c4,Z_1031)) = multiply(identity,Z_1031) ),
inference(superposition,[status(thm),theory(equality)],[c_174347,c_205721]) ).
tff(c_206225,plain,
! [Z_1044] : ( multiply(sk_c8,multiply(sk_c4,Z_1044)) = Z_1044 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205745]) ).
tff(c_206240,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_205695,c_206225]) ).
tff(c_205751,plain,
! [Z_1031] : ( multiply(sk_c6,multiply(sk_c8,Z_1031)) = multiply(identity,Z_1031) ),
inference(superposition,[status(thm),theory(equality)],[c_174327,c_205721]) ).
tff(c_205764,plain,
! [Z_1031] : ( multiply(sk_c6,multiply(sk_c8,Z_1031)) = Z_1031 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205751]) ).
tff(c_206247,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_206240,c_205764]) ).
tff(c_206253,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_174327,c_206247]) ).
tff(c_205770,plain,
! [Z_1032] : ( multiply(sk_c8,multiply(sk_c4,Z_1032)) = Z_1032 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205745]) ).
tff(c_205782,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_205695,c_205770]) ).
tff(c_205812,plain,
! [Z_1034] : ( multiply(sk_c6,multiply(sk_c8,Z_1034)) = Z_1034 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205751]) ).
tff(c_205827,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_205782,c_205812]) ).
tff(c_205837,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_174327,c_205827]) ).
tff(c_174415,plain,
! [X_807,Y_808,Z_809] : ( multiply(multiply(X_807,Y_808),Z_809) = multiply(X_807,multiply(Y_808,Z_809)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_174451,plain,
! [X_2,Z_809] : ( multiply(inverse(X_2),multiply(X_2,Z_809)) = multiply(identity,Z_809) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_174415]) ).
tff(c_175811,plain,
! [X_838,Z_839] : ( multiply(inverse(X_838),multiply(X_838,Z_839)) = Z_839 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_174451]) ).
tff(c_175983,plain,
! [X_841] : ( multiply(inverse(identity),X_841) = X_841 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_175811]) ).
tff(c_174463,plain,
! [X_2,Z_809] : ( multiply(inverse(X_2),multiply(X_2,Z_809)) = Z_809 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_174451]) ).
tff(c_176043,plain,
! [X_843] : ( multiply(inverse(inverse(identity)),X_843) = X_843 ),
inference(superposition,[status(thm),theory(equality)],[c_175983,c_174463]) ).
tff(c_176064,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_176043,c_4]) ).
tff(c_176117,plain,
! [X_844,Z_845] : ( multiply(inverse(inverse(X_844)),Z_845) = multiply(X_844,Z_845) ),
inference(superposition,[status(thm),theory(equality)],[c_174463,c_175811]) ).
tff(c_176138,plain,
! [X_844] : ( multiply(X_844,inverse(X_844)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_176117,c_4]) ).
tff(c_174371,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_174375,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_174371,c_4]) ).
tff(c_174448,plain,
! [Z_809] : ( multiply(sk_c6,multiply(sk_c8,Z_809)) = multiply(identity,Z_809) ),
inference(superposition,[status(thm),theory(equality)],[c_174327,c_174415]) ).
tff(c_174749,plain,
! [Z_818] : ( multiply(sk_c6,multiply(sk_c8,Z_818)) = Z_818 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_174448]) ).
tff(c_174767,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_174375,c_174749]) ).
tff(c_174397,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_174323,c_58]) ).
tff(c_174442,plain,
! [Z_809] : ( multiply(sk_c8,multiply(sk_c4,Z_809)) = multiply(identity,Z_809) ),
inference(superposition,[status(thm),theory(equality)],[c_174347,c_174415]) ).
tff(c_174465,plain,
! [Z_810] : ( multiply(sk_c8,multiply(sk_c4,Z_810)) = Z_810 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_174442]) ).
tff(c_174477,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_174397,c_174465]) ).
tff(c_174761,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_174477,c_174749]) ).
tff(c_174774,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_174327,c_174761]) ).
tff(c_56,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_174387,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_174323,c_56]) ).
tff(c_174806,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_174774,c_174387]) ).
tff(c_174808,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_174806]) ).
tff(c_174816,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_174808,c_174371]) ).
tff(c_174820,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_174808,c_174322]) ).
tff(c_66,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_174335,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_174323,c_66]) ).
tff(c_174339,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_174335,c_4]) ).
tff(c_175847,plain,
multiply(inverse(sk_c6),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_174339,c_175811]) ).
tff(c_175863,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_174767,c_174820,c_175847]) ).
tff(c_64,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_174362,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_174323,c_64]) ).
tff(c_174807,plain,
multiply(sk_c5,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_174774,c_174362]) ).
tff(c_175874,plain,
multiply(sk_c1,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_175863,c_174807]) ).
tff(c_175878,plain,
multiply(inverse(sk_c1),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_175874,c_174463]) ).
tff(c_175884,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_174767,c_174816,c_175878]) ).
tff(c_175890,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_175884,c_174816]) ).
tff(c_174835,plain,
multiply(sk_c6,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_174820,c_4]) ).
tff(c_175897,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_175884,c_175884,c_174835]) ).
tff(c_175892,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_175884,c_174808]) ).
tff(c_174770,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_174347,c_174749]) ).
tff(c_175787,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_174767,c_174770]) ).
tff(c_174430,plain,
! [Z_809] : ( multiply(sk_c4,multiply(sk_c8,Z_809)) = multiply(sk_c7,Z_809) ),
inference(superposition,[status(thm),theory(equality)],[c_174397,c_174415]) ).
tff(c_175927,plain,
! [Z_809] : ( multiply(sk_c1,multiply(sk_c1,Z_809)) = Z_809 ),
inference(demodulation,[status(thm),theory(equality)],[c_175892,c_175787,c_2,c_174774,c_174430]) ).
tff(c_175853,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_175811]) ).
tff(c_176124,plain,
! [X_844] : ( multiply(X_844,identity) = X_844 ),
inference(superposition,[status(thm),theory(equality)],[c_176117,c_175853]) ).
tff(c_176412,plain,
! [X_851,Y_852,Z_853] : ( multiply(inverse(multiply(X_851,Y_852)),multiply(X_851,multiply(Y_852,Z_853))) = Z_853 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_175811]) ).
tff(c_176460,plain,
! [X_851,X_844] : ( multiply(inverse(multiply(X_851,X_844)),multiply(X_851,identity)) = inverse(X_844) ),
inference(superposition,[status(thm),theory(equality)],[c_176138,c_176412]) ).
tff(c_177351,plain,
! [X_866,X_867] : ( multiply(inverse(multiply(X_866,X_867)),X_866) = inverse(X_867) ),
inference(demodulation,[status(thm),theory(equality)],[c_176124,c_176460]) ).
tff(c_177462,plain,
! [Z_809] : ( multiply(inverse(Z_809),sk_c1) = inverse(multiply(sk_c1,Z_809)) ),
inference(superposition,[status(thm),theory(equality)],[c_175927,c_177351]) ).
tff(c_174445,plain,
! [Z_809] : ( multiply(sk_c6,multiply(sk_c5,Z_809)) = multiply(identity,Z_809) ),
inference(superposition,[status(thm),theory(equality)],[c_174339,c_174415]) ).
tff(c_174726,plain,
! [Z_817] : ( multiply(sk_c6,multiply(sk_c5,Z_817)) = Z_817 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_174445]) ).
tff(c_174738,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_174362,c_174726]) ).
tff(c_174802,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_174774,c_174738]) ).
tff(c_174889,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_174767,c_174802]) ).
tff(c_174914,plain,
! [X_820,Z_821] : ( multiply(inverse(X_820),multiply(X_820,Z_821)) = Z_821 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_174451]) ).
tff(c_175188,plain,
! [X_826,Z_827] : ( multiply(inverse(inverse(X_826)),Z_827) = multiply(X_826,Z_827) ),
inference(superposition,[status(thm),theory(equality)],[c_174463,c_174914]) ).
tff(c_174938,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_174914]) ).
tff(c_175195,plain,
! [X_826] : ( multiply(X_826,identity) = X_826 ),
inference(superposition,[status(thm),theory(equality)],[c_175188,c_174938]) ).
tff(c_174606,plain,
! [Z_814] : ( multiply(sk_c6,multiply(sk_c8,Z_814)) = Z_814 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_174448]) ).
tff(c_174618,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_174477,c_174606]) ).
tff(c_174631,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_174327,c_174618]) ).
tff(c_174666,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_174631,c_174387]) ).
tff(c_174669,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_174666]) ).
tff(c_174681,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_174669,c_174322]) ).
tff(c_174491,plain,
! [Z_811] : ( multiply(sk_c6,multiply(sk_c8,Z_811)) = Z_811 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_174448]) ).
tff(c_174503,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_174477,c_174491]) ).
tff(c_174516,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_174327,c_174503]) ).
tff(c_174543,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_174516,c_174387]) ).
tff(c_174547,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_174543]) ).
tff(c_174482,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174387,c_174322,c_80]) ).
tff(c_174483,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_174482]) ).
tff(c_174541,plain,
multiply(identity,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_174516,c_174483]) ).
tff(c_174546,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_174541]) ).
tff(c_174565,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_174547,c_174546]) ).
tff(c_174566,plain,
! [X3_7,X4_10,X1_8,X2_9] :
( ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_174482]) ).
tff(c_174582,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_174566]) ).
tff(c_174708,plain,
! [X2_816] :
( ( inverse(X2_816) != sk_c6 )
| ( multiply(X2_816,sk_c6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174631,c_174582]) ).
tff(c_174716,plain,
inverse(inverse(sk_c6)) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_4,c_174708]) ).
tff(c_174724,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_174681,c_174681,c_174716]) ).
tff(c_174725,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_174566]) ).
tff(c_174846,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != identity )
| ( multiply(inverse(X4_10),sk_c6) != identity )
| ( multiply(X4_10,inverse(X4_10)) != identity )
| ( multiply(X3_7,identity) != sk_c6 )
| ( inverse(X3_7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174808,c_174808,c_174774,c_174774,c_174808,c_174774,c_174808,c_174774,c_174808,c_174725]) ).
tff(c_174847,plain,
! [X3_7] :
( ( multiply(X3_7,identity) != sk_c6 )
| ( inverse(X3_7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_174846]) ).
tff(c_175775,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_174889,c_175195,c_174889,c_174847]) ).
tff(c_174893,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_174889,c_174816]) ).
tff(c_175777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175775,c_174893]) ).
tff(c_175778,plain,
! [X4_10,X1_8] :
( ( multiply(inverse(X4_10),sk_c6) != identity )
| ( multiply(X4_10,inverse(X4_10)) != identity )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != identity ) ),
inference(splitRight,[status(thm)],[c_174846]) ).
tff(c_205545,plain,
! [X4_10,X1_8] :
( ( inverse(multiply(sk_c1,X4_10)) != identity )
| ( inverse(X1_8) != sk_c1 )
| ( multiply(X1_8,sk_c1) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175884,c_175884,c_176138,c_177462,c_175884,c_175778]) ).
tff(c_205547,plain,
! [X1_1027] :
( ( inverse(X1_1027) != sk_c1 )
| ( multiply(X1_1027,sk_c1) != identity ) ),
inference(splitLeft,[status(thm)],[c_205545]) ).
tff(c_205601,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_175897,c_205547]) ).
tff(c_205627,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_175890,c_205601]) ).
tff(c_205629,plain,
! [X4_1028] : ( inverse(multiply(sk_c1,X4_1028)) != identity ),
inference(splitRight,[status(thm)],[c_205545]) ).
tff(c_205665,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_176138,c_205629]) ).
tff(c_205683,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_176064,c_205665]) ).
tff(c_205684,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_205842,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_205837,c_205684]) ).
tff(c_205846,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205842]) ).
tff(c_205768,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205684,c_174322,c_80]) ).
tff(c_205769,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_205768]) ).
tff(c_205840,plain,
multiply(identity,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_205837,c_205769]) ).
tff(c_205845,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205840]) ).
tff(c_205863,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_205846,c_205845]) ).
tff(c_205865,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_205768]) ).
tff(c_206175,plain,
! [Z_1043] : ( multiply(sk_c5,multiply(sk_c6,Z_1043)) = multiply(sk_c7,Z_1043) ),
inference(superposition,[status(thm),theory(equality)],[c_174362,c_205721]) ).
tff(c_206193,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_174327,c_206175]) ).
tff(c_206197,plain,
multiply(sk_c5,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_205865,c_206193]) ).
tff(c_206190,plain,
multiply(sk_c7,sk_c5) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_174339,c_206175]) ).
tff(c_206217,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_206197,c_206190]) ).
tff(c_206344,plain,
multiply(identity,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_206253,c_206217]) ).
tff(c_206350,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_206344]) ).
tff(c_206348,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_206253,c_205684]) ).
tff(c_206352,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_206348]) ).
tff(c_206393,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_206350,c_206352]) ).
tff(c_206343,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_206253,c_206240]) ).
tff(c_207182,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_206393,c_206393,c_206343]) ).
tff(c_206363,plain,
inverse(sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_206350,c_174322]) ).
tff(c_206403,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_206393,c_206363]) ).
tff(c_206397,plain,
multiply(sk_c5,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_206393,c_174347]) ).
tff(c_207232,plain,
multiply(inverse(sk_c5),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_206397,c_205765]) ).
tff(c_207238,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_207182,c_206403,c_207232]) ).
tff(c_207247,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_207238,c_206350]) ).
tff(c_205748,plain,
! [Z_1031] : ( multiply(sk_c6,multiply(sk_c5,Z_1031)) = multiply(identity,Z_1031) ),
inference(superposition,[status(thm),theory(equality)],[c_174339,c_205721]) ).
tff(c_205763,plain,
! [Z_1031] : ( multiply(sk_c6,multiply(sk_c5,Z_1031)) = Z_1031 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205748]) ).
tff(c_207367,plain,
! [Z_1031] : ( multiply(sk_c4,multiply(sk_c4,Z_1031)) = Z_1031 ),
inference(demodulation,[status(thm),theory(equality)],[c_207247,c_207238,c_205763]) ).
tff(c_207221,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_207191]) ).
tff(c_207473,plain,
! [X_1070] : ( multiply(X_1070,identity) = X_1070 ),
inference(superposition,[status(thm),theory(equality)],[c_207466,c_207221]) ).
tff(c_207682,plain,
! [X_1075,Y_1076,Z_1077] : ( multiply(inverse(multiply(X_1075,Y_1076)),multiply(X_1075,multiply(Y_1076,Z_1077))) = Z_1077 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_207191]) ).
tff(c_207718,plain,
! [X_1075,X_1070] : ( multiply(inverse(multiply(X_1075,X_1070)),multiply(X_1075,identity)) = inverse(X_1070) ),
inference(superposition,[status(thm),theory(equality)],[c_207507,c_207682]) ).
tff(c_208623,plain,
! [X_1091,X_1092] : ( multiply(inverse(multiply(X_1091,X_1092)),X_1091) = inverse(X_1092) ),
inference(demodulation,[status(thm),theory(equality)],[c_207473,c_207718]) ).
tff(c_208734,plain,
! [Z_1031] : ( multiply(inverse(Z_1031),sk_c4) = inverse(multiply(sk_c4,Z_1031)) ),
inference(superposition,[status(thm),theory(equality)],[c_207367,c_208623]) ).
tff(c_206159,plain,
! [Z_1042] : ( multiply(sk_c6,multiply(sk_c8,Z_1042)) = Z_1042 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205751]) ).
tff(c_206171,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_174347,c_206159]) ).
tff(c_206357,plain,
multiply(sk_c5,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_206350,c_206171]) ).
tff(c_206421,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_206393,c_206393,c_206343]) ).
tff(c_206459,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_206357,c_206421]) ).
tff(c_206474,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_206459,c_206459,c_206403]) ).
tff(c_206523,plain,
multiply(sk_c4,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_206474,c_4]) ).
tff(c_206257,plain,
multiply(identity,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_206253,c_206217]) ).
tff(c_206263,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_206257]) ).
tff(c_206274,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_206263,c_174335]) ).
tff(c_206261,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_206253,c_205684]) ).
tff(c_206265,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_206261]) ).
tff(c_206281,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_206263,c_206265]) ).
tff(c_206256,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_206253,c_206240]) ).
tff(c_206328,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_206281,c_206281,c_206256]) ).
tff(c_205898,plain,
! [Z_1036] : ( multiply(sk_c8,multiply(sk_c4,Z_1036)) = Z_1036 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205745]) ).
tff(c_205913,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_205695,c_205898]) ).
tff(c_205942,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_205913,c_205764]) ).
tff(c_205949,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_174327,c_205942]) ).
tff(c_205955,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_205949,c_205684]) ).
tff(c_205957,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205955]) ).
tff(c_205874,plain,
! [Z_1035] : ( multiply(sk_c6,multiply(sk_c8,Z_1035)) = Z_1035 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205751]) ).
tff(c_205886,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_174347,c_205874]) ).
tff(c_205951,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_205949,c_205913]) ).
tff(c_206003,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_205957,c_205886,c_205957,c_205951]) ).
tff(c_205968,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_205957,c_174322]) ).
tff(c_206004,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_206003,c_206003,c_205968]) ).
tff(c_205864,plain,
! [X3_7,X4_10,X1_8,X2_9] :
( ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_205768]) ).
tff(c_205873,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_205864]) ).
tff(c_205981,plain,
! [X2_1038] :
( ( inverse(X2_1038) != sk_c6 )
| ( multiply(X2_1038,sk_c6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205949,c_205873]) ).
tff(c_205994,plain,
inverse(inverse(sk_c6)) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_4,c_205981]) ).
tff(c_206157,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_206004,c_206004,c_206003,c_206003,c_205994]) ).
tff(c_206158,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_205864]) ).
tff(c_206255,plain,
! [X3_7] :
( ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_206158]) ).
tff(c_206314,plain,
! [X3_7] :
( ( multiply(X3_7,identity) != sk_c5 )
| ( inverse(X3_7) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_206281,c_206281,c_206253,c_206255]) ).
tff(c_206332,plain,
inverse(sk_c5) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_206328,c_206314]) ).
tff(c_206341,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_206274,c_206332]) ).
tff(c_206342,plain,
! [X4_10,X1_8] :
( ( multiply(inverse(X4_10),sk_c8) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_206158]) ).
tff(c_206419,plain,
! [X4_10,X1_8] :
( ( multiply(inverse(X4_10),sk_c5) != identity )
| ( multiply(X4_10,inverse(X4_10)) != identity )
| ( inverse(X1_8) != sk_c5 )
| ( multiply(X1_8,sk_c5) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_206393,c_206253,c_206393,c_206253,c_206393,c_206253,c_206342]) ).
tff(c_206420,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c5 )
| ( multiply(X1_8,sk_c5) != identity ) ),
inference(splitLeft,[status(thm)],[c_206419]) ).
tff(c_207161,plain,
! [X1_1063] :
( ( inverse(X1_1063) != sk_c4 )
| ( multiply(X1_1063,sk_c4) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_206459,c_206459,c_206420]) ).
tff(c_207164,plain,
inverse(sk_c4) != sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_206523,c_207161]) ).
tff(c_207180,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_206474,c_207164]) ).
tff(c_207181,plain,
! [X4_10] :
( ( multiply(inverse(X4_10),sk_c5) != identity )
| ( multiply(X4_10,inverse(X4_10)) != identity ) ),
inference(splitRight,[status(thm)],[c_206419]) ).
tff(c_211441,plain,
! [X4_1122] : ( inverse(multiply(sk_c4,X4_1122)) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_207507,c_208734,c_207238,c_207181]) ).
tff(c_211459,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_207507,c_211441]) ).
tff(c_211474,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_207422,c_211459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP337-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:20:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 39.62/25.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 39.86/25.65
% 39.86/25.65 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 39.98/25.74
% 39.98/25.74 Inference rules
% 39.98/25.74 ----------------------
% 39.98/25.74 #Ref : 0
% 39.98/25.74 #Sup : 50213
% 39.98/25.74 #Fact : 0
% 39.98/25.74 #Define : 0
% 39.98/25.74 #Split : 58
% 39.98/25.74 #Chain : 0
% 39.98/25.74 #Close : 0
% 39.98/25.74
% 39.98/25.74 Ordering : KBO
% 39.98/25.74
% 39.98/25.74 Simplification rules
% 39.98/25.74 ----------------------
% 39.98/25.74 #Subsume : 9
% 39.98/25.74 #Demod : 190209
% 39.98/25.74 #Tautology : 40908
% 39.98/25.74 #SimpNegUnit : 120
% 39.98/25.74 #BackRed : 993
% 39.98/25.74
% 39.98/25.74 #Partial instantiations: 0
% 39.98/25.74 #Strategies tried : 1
% 39.98/25.74
% 39.98/25.74 Timing (in seconds)
% 39.98/25.74 ----------------------
% 39.98/25.74 Preprocessing : 0.53
% 39.98/25.74 Parsing : 0.21
% 39.98/25.74 CNF conversion : 0.03
% 39.98/25.74 Main loop : 23.98
% 39.98/25.74 Inferencing : 3.13
% 39.98/25.74 Reduction : 17.19
% 39.98/25.74 Demodulation : 16.36
% 39.98/25.74 BG Simplification : 0.25
% 39.98/25.74 Subsumption : 2.44
% 39.98/25.74 Abstraction : 0.65
% 39.98/25.74 MUC search : 0.00
% 39.98/25.74 Cooper : 0.00
% 39.98/25.74 Total : 24.72
% 39.98/25.74 Index Insertion : 0.00
% 39.98/25.74 Index Deletion : 0.00
% 39.98/25.74 Index Matching : 0.00
% 39.98/25.74 BG Taut test : 0.00
%------------------------------------------------------------------------------