TSTP Solution File: GRP270-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP270-1 : 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 : n014.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 10:40:43 EDT 2023
% Result : Unsatisfiable 12.13s 4.14s
% Output : CNFRefutation 12.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 38
% Syntax : Number of formulae : 778 ( 656 unt; 10 typ; 0 def)
% Number of atoms : 1022 ( 983 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 592 ( 338 ~; 254 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 344 (; 344 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > 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(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c5 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
! [X3,X4,X1,X2] :
( ( multiply(X3,sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( multiply(X4,sk_c7) != sk_c5 )
| ( inverse(X4) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X1) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( inverse(X2) != sk_c6 )
| ( multiply(X2,sk_c5) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c5 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c5 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c5 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_16796,plain,
! [X_282,Y_283,Z_284] : ( multiply(multiply(X_282,Y_283),Z_284) = multiply(X_282,multiply(Y_283,Z_284)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16829,plain,
! [X_2,Z_284] : ( multiply(inverse(X_2),multiply(X_2,Z_284)) = multiply(identity,Z_284) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16796]) ).
tff(c_16840,plain,
! [X_2,Z_284] : ( multiply(inverse(X_2),multiply(X_2,Z_284)) = Z_284 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16829]) ).
tff(c_17302,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_16829]) ).
tff(c_18714,plain,
! [X_318,Z_319] : ( multiply(inverse(inverse(X_318)),Z_319) = multiply(X_318,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_16840,c_17302]) ).
tff(c_17371,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17302]) ).
tff(c_18721,plain,
! [X_318] : ( multiply(X_318,identity) = X_318 ),
inference(superposition,[status(thm),theory(equality)],[c_18714,c_17371]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_102,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_20,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_87,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_91,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_87,c_4]) ).
tff(c_10997,plain,
! [X_164,Y_165,Z_166] : ( multiply(multiply(X_164,Y_165),Z_166) = multiply(X_164,multiply(Y_165,Z_166)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11030,plain,
! [Z_166] : ( multiply(sk_c7,multiply(sk_c1,Z_166)) = multiply(identity,Z_166) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_10997]) ).
tff(c_11050,plain,
! [Z_167] : ( multiply(sk_c7,multiply(sk_c1,Z_167)) = Z_167 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11030]) ).
tff(c_11062,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_102,c_11050]) ).
tff(c_11036,plain,
! [X_2,Z_166] : ( multiply(inverse(X_2),multiply(X_2,Z_166)) = multiply(identity,Z_166) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10997]) ).
tff(c_11134,plain,
! [X_171,Z_172] : ( multiply(inverse(X_171),multiply(X_171,Z_172)) = Z_172 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11036]) ).
tff(c_11167,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11062,c_11134]) ).
tff(c_11219,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11167]) ).
tff(c_11277,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11219,c_11062]) ).
tff(c_134,plain,
! [X_12,Y_13,Z_14] : ( multiply(multiply(X_12,Y_13),Z_14) = multiply(X_12,multiply(Y_13,Z_14)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_164,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_134]) ).
tff(c_174,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164]) ).
tff(c_1254,plain,
! [X_36,Z_37] : ( multiply(inverse(X_36),multiply(X_36,Z_37)) = Z_37 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164]) ).
tff(c_1493,plain,
! [X_41,Z_42] : ( multiply(inverse(inverse(X_41)),Z_42) = multiply(X_41,Z_42) ),
inference(superposition,[status(thm),theory(equality)],[c_174,c_1254]) ).
tff(c_1299,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1254]) ).
tff(c_1504,plain,
! [X_41] : ( multiply(X_41,identity) = X_41 ),
inference(superposition,[status(thm),theory(equality)],[c_1493,c_1299]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_107,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_40,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_112,plain,
multiply(sk_c2,sk_c7) = sk_c5,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_75,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_79,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_75,c_4]) ).
tff(c_161,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_79,c_134]) ).
tff(c_478,plain,
! [Z_21] : ( multiply(sk_c7,multiply(sk_c2,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_161]) ).
tff(c_493,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_112,c_478]) ).
tff(c_497,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_107,c_493]) ).
tff(c_504,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_497,c_107]) ).
tff(c_1284,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_504,c_1254]) ).
tff(c_1308,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1284]) ).
tff(c_179,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_161]) ).
tff(c_191,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_112,c_179]) ).
tff(c_195,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_107,c_191]) ).
tff(c_199,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_195,c_107]) ).
tff(c_267,plain,
! [X_17,Z_18] : ( multiply(inverse(X_17),multiply(X_17,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164]) ).
tff(c_285,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_199,c_267]) ).
tff(c_313,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_285]) ).
tff(c_316,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_313,c_199]) ).
tff(c_202,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_195,c_87]) ).
tff(c_203,plain,
multiply(sk_c6,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_195,c_79]) ).
tff(c_155,plain,
! [Z_14] : ( multiply(sk_c1,multiply(sk_c7,Z_14)) = multiply(sk_c6,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_134]) ).
tff(c_209,plain,
! [Z_14] : ( multiply(sk_c1,multiply(sk_c6,Z_14)) = multiply(sk_c6,Z_14) ),
inference(demodulation,[status(thm),theory(equality)],[c_195,c_155]) ).
tff(c_247,plain,
multiply(sk_c6,sk_c2) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_203,c_209]) ).
tff(c_253,plain,
multiply(sk_c1,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_203,c_247]) ).
tff(c_383,plain,
multiply(inverse(sk_c1),identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_253,c_174]) ).
tff(c_389,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_316,c_202,c_383]) ).
tff(c_58,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_177,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107,c_58]) ).
tff(c_178,plain,
multiply(sk_c6,sk_c7) != sk_c5,
inference(splitLeft,[status(thm)],[c_177]) ).
tff(c_197,plain,
multiply(sk_c6,sk_c6) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_195,c_178]) ).
tff(c_350,plain,
multiply(sk_c6,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_313,c_197]) ).
tff(c_395,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_389,c_389,c_350]) ).
tff(c_406,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_395]) ).
tff(c_408,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(splitRight,[status(thm)],[c_177]) ).
tff(c_502,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_497,c_408]) ).
tff(c_158,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_134]) ).
tff(c_416,plain,
! [Z_19] : ( multiply(sk_c7,multiply(sk_c1,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_158]) ).
tff(c_428,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_102,c_416]) ).
tff(c_463,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_428,c_155]) ).
tff(c_469,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_463]) ).
tff(c_1246,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_502,c_469]) ).
tff(c_1316,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1308,c_1246]) ).
tff(c_569,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_502,c_469]) ).
tff(c_581,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_569,c_569,c_504]) ).
tff(c_669,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_581,c_174]) ).
tff(c_675,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_669]) ).
tff(c_683,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_675,c_569]) ).
tff(c_590,plain,
! [X_22,Z_23] : ( multiply(inverse(X_22),multiply(X_22,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164]) ).
tff(c_817,plain,
! [X_26,Z_27] : ( multiply(inverse(inverse(X_26)),Z_27) = multiply(X_26,Z_27) ),
inference(superposition,[status(thm),theory(equality)],[c_174,c_590]) ).
tff(c_611,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_590]) ).
tff(c_824,plain,
! [X_26] : ( multiply(X_26,identity) = X_26 ),
inference(superposition,[status(thm),theory(equality)],[c_817,c_611]) ).
tff(c_407,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_177]) ).
tff(c_522,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_497,c_497,c_497,c_497,c_497,c_497,c_407]) ).
tff(c_523,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_522]) ).
tff(c_1197,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_683,c_824,c_683,c_675,c_523]) ).
tff(c_509,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_497,c_75]) ).
tff(c_584,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_569,c_509]) ).
tff(c_628,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_584,c_4]) ).
tff(c_736,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_675,c_628]) ).
tff(c_681,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_675,c_584]) ).
tff(c_737,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_736,c_681]) ).
tff(c_1199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1197,c_737]) ).
tff(c_1200,plain,
! [X1_8,X4_7,X3_6] :
( ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( inverse(X3_6) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_522]) ).
tff(c_9551,plain,
! [X1_8,X4_7,X3_6] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( inverse(X3_6) != identity )
| ( identity != X3_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1504,c_1316,c_1316,c_1316,c_1504,c_1316,c_1308,c_1316,c_1316,c_1504,c_1316,c_1316,c_1200]) ).
tff(c_9553,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9551]) ).
tff(c_507,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_497,c_87]) ).
tff(c_1204,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_507,c_4]) ).
tff(c_1328,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1316,c_1204]) ).
tff(c_1320,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1316,c_507]) ).
tff(c_1337,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1328,c_1320]) ).
tff(c_9555,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9553,c_1337]) ).
tff(c_9556,plain,
! [X4_7,X1_8] :
( ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(splitRight,[status(thm)],[c_9551]) ).
tff(c_9558,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9556]) ).
tff(c_9560,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9558,c_1337]) ).
tff(c_9563,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_9556]) ).
tff(c_9565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9563,c_1337]) ).
tff(c_9567,plain,
multiply(sk_c2,sk_c7) != sk_c5,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_9614,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_9567,c_46]) ).
tff(c_44,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_9580,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_9567,c_44]) ).
tff(c_9584,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9580,c_4]) ).
tff(c_9619,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_9643,plain,
! [Z_134] : ( multiply(sk_c6,multiply(sk_c4,Z_134)) = multiply(identity,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_9584,c_9619]) ).
tff(c_10017,plain,
! [Z_146] : ( multiply(sk_c6,multiply(sk_c4,Z_146)) = Z_146 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9643]) ).
tff(c_10029,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_9614,c_10017]) ).
tff(c_9655,plain,
! [Z_134] : ( multiply(sk_c7,multiply(sk_c1,Z_134)) = multiply(identity,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_9619]) ).
tff(c_9675,plain,
! [Z_135] : ( multiply(sk_c7,multiply(sk_c1,Z_135)) = Z_135 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9655]) ).
tff(c_9687,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_102,c_9675]) ).
tff(c_10295,plain,
! [Z_152] : ( multiply(sk_c1,multiply(sk_c7,Z_152)) = multiply(sk_c6,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_9619]) ).
tff(c_10319,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_9687,c_10295]) ).
tff(c_10339,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_10029,c_10319]) ).
tff(c_38,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c2,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_9609,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_9567,c_38]) ).
tff(c_42,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_9601,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9567,c_42]) ).
tff(c_9566,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_9571,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9566,c_4]) ).
tff(c_9646,plain,
! [Z_134] : ( multiply(sk_c7,multiply(sk_c3,Z_134)) = multiply(identity,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_9571,c_9619]) ).
tff(c_9814,plain,
! [Z_142] : ( multiply(sk_c7,multiply(sk_c3,Z_142)) = Z_142 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9646]) ).
tff(c_9826,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9601,c_9814]) ).
tff(c_10310,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c1,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_9826,c_10295]) ).
tff(c_10338,plain,
multiply(sk_c1,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9609,c_10310]) ).
tff(c_10405,plain,
multiply(sk_c1,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10339,c_10338]) ).
tff(c_9838,plain,
! [Z_143] : ( multiply(sk_c6,multiply(sk_c4,Z_143)) = Z_143 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9643]) ).
tff(c_9850,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_9614,c_9838]) ).
tff(c_9861,plain,
! [Z_144] : ( multiply(sk_c1,multiply(sk_c7,Z_144)) = multiply(sk_c6,Z_144) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_9619]) ).
tff(c_9885,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_9687,c_9861]) ).
tff(c_9905,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9850,c_102,c_9885]) ).
tff(c_9915,plain,
inverse(sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9905,c_9580]) ).
tff(c_9911,plain,
multiply(sk_c4,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9905,c_9614]) ).
tff(c_9699,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107,c_9609,c_58]) ).
tff(c_9773,plain,
! [X3_140] :
( ( inverse(X3_140) != sk_c7 )
| ( multiply(X3_140,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_9699]) ).
tff(c_9786,plain,
inverse(sk_c1) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_102,c_9773]) ).
tff(c_9799,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_87,c_9786]) ).
tff(c_9800,plain,
! [X4_7,X1_8,X2_9] :
( ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_9699]) ).
tff(c_9830,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_9800]) ).
tff(c_9950,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c5) != sk_c5 )
| ( inverse(X2_9) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9905,c_9905,c_9830]) ).
tff(c_9999,plain,
inverse(sk_c4) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_9911,c_9950]) ).
tff(c_10008,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9915,c_9999]) ).
tff(c_10009,plain,
! [X1_8,X4_7] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_9800]) ).
tff(c_10041,plain,
! [X4_147] :
( ( inverse(X4_147) != sk_c7 )
| ( multiply(X4_147,sk_c7) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_10009]) ).
tff(c_10058,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c5 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10041]) ).
tff(c_10067,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_10058]) ).
tff(c_9661,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_9619]) ).
tff(c_10068,plain,
! [X_148,Z_149] : ( multiply(inverse(X_148),multiply(X_148,Z_149)) = Z_149 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9661]) ).
tff(c_10101,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9687,c_10068]) ).
tff(c_10156,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10101]) ).
tff(c_10183,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10156,c_10156,c_10029]) ).
tff(c_10195,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10183]) ).
tff(c_10197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10067,c_10195]) ).
tff(c_10199,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_10058]) ).
tff(c_10054,plain,
( ( inverse(sk_c1) != sk_c7 )
| ( sk_c6 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_10041]) ).
tff(c_10065,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_87,c_10054]) ).
tff(c_10201,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_10199,c_10065]) ).
tff(c_10204,plain,
multiply(sk_c4,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10199,c_9614]) ).
tff(c_9669,plain,
! [Z_134] : ( multiply(sk_c6,multiply(sk_c4,Z_134)) = Z_134 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9643]) ).
tff(c_10264,plain,
multiply(sk_c6,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10204,c_9669]) ).
tff(c_10212,plain,
! [Z_151] : ( multiply(sk_c1,multiply(sk_c7,Z_151)) = multiply(sk_c6,Z_151) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_9619]) ).
tff(c_10236,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_9687,c_10212]) ).
tff(c_10252,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_10236]) ).
tff(c_10292,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10264,c_10252]) ).
tff(c_10293,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10201,c_10292]) ).
tff(c_10294,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_10009]) ).
tff(c_10384,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c5) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10339,c_10294]) ).
tff(c_10409,plain,
( ( sk_c7 != sk_c5 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_10405,c_10384]) ).
tff(c_10419,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_87,c_10409]) ).
tff(c_10350,plain,
multiply(sk_c7,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10339,c_107]) ).
tff(c_10344,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10339,c_9687]) ).
tff(c_10441,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10350,c_10344]) ).
tff(c_10443,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10419,c_10441]) ).
tff(c_10445,plain,
multiply(sk_c7,sk_c5) != sk_c6,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_10990,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10445,c_36]) ).
tff(c_10444,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_10449,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10444,c_4]) ).
tff(c_11021,plain,
! [Z_166] : ( multiply(sk_c6,multiply(sk_c4,Z_166)) = multiply(identity,Z_166) ),
inference(superposition,[status(thm),theory(equality)],[c_10449,c_10997]) ).
tff(c_11111,plain,
! [Z_170] : ( multiply(sk_c6,multiply(sk_c4,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11021]) ).
tff(c_11123,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10990,c_11111]) ).
tff(c_11227,plain,
! [Z_173] : ( multiply(sk_c1,multiply(sk_c7,Z_173)) = multiply(sk_c6,Z_173) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_10997]) ).
tff(c_11254,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_11062,c_11227]) ).
tff(c_11272,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11123,c_102,c_11254]) ).
tff(c_11291,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11219,c_11272]) ).
tff(c_10502,plain,
! [X_154,Y_155,Z_156] : ( multiply(multiply(X_154,Y_155),Z_156) = multiply(X_154,multiply(Y_155,Z_156)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10538,plain,
! [Z_156] : ( multiply(sk_c7,multiply(sk_c1,Z_156)) = multiply(identity,Z_156) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_10502]) ).
tff(c_10558,plain,
! [Z_157] : ( multiply(sk_c7,multiply(sk_c1,Z_157)) = Z_157 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10538]) ).
tff(c_10570,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_102,c_10558]) ).
tff(c_10544,plain,
! [X_2,Z_156] : ( multiply(inverse(X_2),multiply(X_2,Z_156)) = multiply(identity,Z_156) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10502]) ).
tff(c_10630,plain,
! [X_160,Z_161] : ( multiply(inverse(X_160),multiply(X_160,Z_161)) = Z_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10544]) ).
tff(c_10660,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10570,c_10630]) ).
tff(c_10716,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10660]) ).
tff(c_10453,plain,
multiply(sk_c2,sk_c7) = sk_c5,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_10541,plain,
! [Z_156] : ( multiply(sk_c7,multiply(sk_c2,Z_156)) = multiply(identity,Z_156) ),
inference(superposition,[status(thm),theory(equality)],[c_79,c_10502]) ).
tff(c_10583,plain,
! [Z_158] : ( multiply(sk_c7,multiply(sk_c2,Z_158)) = Z_158 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10541]) ).
tff(c_10595,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10453,c_10583]) ).
tff(c_10599,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10595,c_10445]) ).
tff(c_10734,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_10716,c_10599]) ).
tff(c_10654,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10595,c_10630]) ).
tff(c_10715,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10654]) ).
tff(c_28,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_10481,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10445,c_28]) ).
tff(c_10727,plain,
multiply(sk_c6,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10715,c_10481]) ).
tff(c_10944,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10716,c_10727]) ).
tff(c_10945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10734,c_10944]) ).
tff(c_10947,plain,
multiply(sk_c2,sk_c7) != sk_c5,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_10978,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10947,c_38]) ).
tff(c_10973,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10947,c_42]) ).
tff(c_10946,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_10951,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10946,c_4]) ).
tff(c_11024,plain,
! [Z_166] : ( multiply(sk_c7,multiply(sk_c3,Z_166)) = multiply(identity,Z_166) ),
inference(superposition,[status(thm),theory(equality)],[c_10951,c_10997]) ).
tff(c_11088,plain,
! [Z_169] : ( multiply(sk_c7,multiply(sk_c3,Z_169)) = Z_169 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11024]) ).
tff(c_11100,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10973,c_11088]) ).
tff(c_11245,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c1,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_11100,c_11227]) ).
tff(c_11271,plain,
multiply(sk_c1,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10978,c_11245]) ).
tff(c_11371,plain,
multiply(sk_c1,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11291,c_11219,c_11271]) ).
tff(c_11048,plain,
! [X_2,Z_166] : ( multiply(inverse(X_2),multiply(X_2,Z_166)) = Z_166 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11036]) ).
tff(c_11375,plain,
multiply(inverse(sk_c1),identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11371,c_11048]) ).
tff(c_11384,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11277,c_87,c_11375]) ).
tff(c_11282,plain,
multiply(sk_c7,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11219,c_10445]) ).
tff(c_11529,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11384,c_11291,c_11282]) ).
tff(c_11531,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_14591,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11531,c_16]) ).
tff(c_11530,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_11535,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11530,c_4]) ).
tff(c_14606,plain,
! [X_236,Y_237,Z_238] : ( multiply(multiply(X_236,Y_237),Z_238) = multiply(X_236,multiply(Y_237,Z_238)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14633,plain,
! [Z_238] : ( multiply(sk_c6,multiply(sk_c4,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_11535,c_14606]) ).
tff(c_14707,plain,
! [Z_242] : ( multiply(sk_c6,multiply(sk_c4,Z_242)) = Z_242 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14633]) ).
tff(c_14719,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14591,c_14707]) ).
tff(c_14642,plain,
! [X_2,Z_238] : ( multiply(inverse(X_2),multiply(X_2,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14606]) ).
tff(c_14730,plain,
! [X_243,Z_244] : ( multiply(inverse(X_243),multiply(X_243,Z_244)) = Z_244 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14642]) ).
tff(c_14748,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14719,c_14730]) ).
tff(c_13064,plain,
! [X_201,Y_202,Z_203] : ( multiply(multiply(X_201,Y_202),Z_203) = multiply(X_201,multiply(Y_202,Z_203)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13103,plain,
! [X_2,Z_203] : ( multiply(inverse(X_2),multiply(X_2,Z_203)) = multiply(identity,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13064]) ).
tff(c_13925,plain,
! [X_225,Z_226] : ( multiply(inverse(X_225),multiply(X_225,Z_226)) = Z_226 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13103]) ).
tff(c_13988,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_91,c_13925]) ).
tff(c_13994,plain,
multiply(inverse(sk_c7),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_79,c_13925]) ).
tff(c_14297,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13988,c_13994]) ).
tff(c_11544,plain,
multiply(sk_c2,sk_c7) = sk_c5,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_12037,plain,
! [X_185,Y_186,Z_187] : ( multiply(multiply(X_185,Y_186),Z_187) = multiply(X_185,multiply(Y_186,Z_187)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12073,plain,
! [Z_187] : ( multiply(sk_c7,multiply(sk_c2,Z_187)) = multiply(identity,Z_187) ),
inference(superposition,[status(thm),theory(equality)],[c_79,c_12037]) ).
tff(c_12103,plain,
! [Z_189] : ( multiply(sk_c7,multiply(sk_c2,Z_189)) = Z_189 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12073]) ).
tff(c_12115,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11544,c_12103]) ).
tff(c_12076,plain,
! [X_2,Z_187] : ( multiply(inverse(X_2),multiply(X_2,Z_187)) = multiply(identity,Z_187) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12037]) ).
tff(c_12255,plain,
! [X_193,Z_194] : ( multiply(inverse(X_193),multiply(X_193,Z_194)) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12076]) ).
tff(c_12303,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_12115,c_12255]) ).
tff(c_12360,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12303]) ).
tff(c_12026,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11531,c_16]) ).
tff(c_12376,plain,
multiply(sk_c4,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12360,c_12026]) ).
tff(c_12052,plain,
! [Z_187] : ( multiply(sk_c4,multiply(sk_c5,Z_187)) = multiply(sk_c6,Z_187) ),
inference(superposition,[status(thm),theory(equality)],[c_12026,c_12037]) ).
tff(c_12669,plain,
! [Z_187] : ( multiply(sk_c6,Z_187) = multiply(sk_c4,Z_187) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12360,c_12052]) ).
tff(c_12670,plain,
! [Z_198] : ( multiply(sk_c6,Z_198) = multiply(sk_c4,Z_198) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12360,c_12052]) ).
tff(c_12712,plain,
multiply(sk_c4,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11535,c_12670]) ).
tff(c_12088,plain,
! [X_2,Z_187] : ( multiply(inverse(X_2),multiply(X_2,Z_187)) = Z_187 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12076]) ).
tff(c_12767,plain,
multiply(inverse(sk_c4),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_12712,c_12088]) ).
tff(c_12777,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_12376,c_12669,c_11530,c_12767]) ).
tff(c_12175,plain,
! [Z_192] : ( multiply(sk_c2,multiply(sk_c7,Z_192)) = multiply(sk_c5,Z_192) ),
inference(superposition,[status(thm),theory(equality)],[c_11544,c_12037]) ).
tff(c_12208,plain,
multiply(sk_c5,sk_c1) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_91,c_12175]) ).
tff(c_12370,plain,
multiply(sk_c2,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_12360,c_12208]) ).
tff(c_12381,plain,
multiply(sk_c2,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12370]) ).
tff(c_12211,plain,
multiply(sk_c5,sk_c2) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_79,c_12175]) ).
tff(c_12371,plain,
multiply(sk_c2,identity) = multiply(identity,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_12360,c_12211]) ).
tff(c_12382,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12371]) ).
tff(c_12576,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12381,c_12382]) ).
tff(c_12378,plain,
multiply(sk_c2,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12360,c_11544]) ).
tff(c_12621,plain,
multiply(sk_c1,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12576,c_12378]) ).
tff(c_12636,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12621,c_11531]) ).
tff(c_12782,plain,
sk_c4 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12777,c_12636]) ).
tff(c_8,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_12014,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_11531,c_8]) ).
tff(c_12058,plain,
! [Z_187] : ( multiply(sk_c6,multiply(sk_c7,Z_187)) = multiply(sk_c5,Z_187) ),
inference(superposition,[status(thm),theory(equality)],[c_12014,c_12037]) ).
tff(c_12511,plain,
! [Z_196] : ( multiply(sk_c6,multiply(sk_c7,Z_196)) = Z_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12360,c_12058]) ).
tff(c_12544,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_91,c_12511]) ).
tff(c_12825,plain,
multiply(sk_c4,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12777,c_12544]) ).
tff(c_12791,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_12777,c_11530]) ).
tff(c_12377,plain,
multiply(sk_c6,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12360,c_12014]) ).
tff(c_12706,plain,
multiply(sk_c4,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12377,c_12670]) ).
tff(c_12849,plain,
multiply(inverse(sk_c4),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12706,c_12088]) ).
tff(c_12856,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12825,c_12791,c_12849]) ).
tff(c_11568,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_11593,plain,
! [X_176,Y_177,Z_178] : ( multiply(multiply(X_176,Y_177),Z_178) = multiply(X_176,multiply(Y_177,Z_178)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11632,plain,
! [Z_178] : ( multiply(sk_c7,multiply(sk_c2,Z_178)) = multiply(identity,Z_178) ),
inference(superposition,[status(thm),theory(equality)],[c_79,c_11593]) ).
tff(c_11662,plain,
! [Z_180] : ( multiply(sk_c7,multiply(sk_c2,Z_180)) = Z_180 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11632]) ).
tff(c_11674,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11544,c_11662]) ).
tff(c_11678,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11568,c_11674]) ).
tff(c_11710,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(sk_c6,sk_c6) != sk_c5 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11678,c_11678,c_11678,c_11678,c_11678,c_11678,c_11678,c_11678,c_58]) ).
tff(c_11711,plain,
multiply(sk_c6,sk_c5) != sk_c6,
inference(splitLeft,[status(thm)],[c_11710]) ).
tff(c_11683,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11678,c_11568]) ).
tff(c_11719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11711,c_11683]) ).
tff(c_11721,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_11710]) ).
tff(c_11635,plain,
! [X_2,Z_178] : ( multiply(inverse(X_2),multiply(X_2,Z_178)) = multiply(identity,Z_178) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11593]) ).
tff(c_11753,plain,
! [X_181,Z_182] : ( multiply(inverse(X_181),multiply(X_181,Z_182)) = Z_182 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11635]) ).
tff(c_11774,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11721,c_11753]) ).
tff(c_11809,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11774]) ).
tff(c_11578,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11531,c_16]) ).
tff(c_11792,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11578,c_11753]) ).
tff(c_11810,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11530,c_11792]) ).
tff(c_11818,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11809,c_11810]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_11554,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11531,c_10]) ).
tff(c_11685,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11678,c_11554]) ).
tff(c_12,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_11584,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11531,c_12]) ).
tff(c_11681,plain,
multiply(sk_c3,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11678,c_11584]) ).
tff(c_11647,plain,
! [X_2,Z_178] : ( multiply(inverse(X_2),multiply(X_2,Z_178)) = Z_178 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11635]) ).
tff(c_11857,plain,
multiply(inverse(sk_c3),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11681,c_11647]) ).
tff(c_11863,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11818,c_11685,c_11857]) ).
tff(c_11689,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11678,c_87]) ).
tff(c_11733,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11689,c_4]) ).
tff(c_11867,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11863,c_11733]) ).
tff(c_11990,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_11867,c_11647]) ).
tff(c_12002,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11990]) ).
tff(c_11687,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11678,c_11531]) ).
tff(c_11866,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11863,c_11863,c_11687]) ).
tff(c_12006,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12002,c_11866]) ).
tff(c_12011,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12006]) ).
tff(c_12013,plain,
multiply(sk_c7,sk_c5) != sk_c6,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_32,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_12020,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12013,c_32]) ).
tff(c_11558,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11554,c_4]) ).
tff(c_12061,plain,
! [Z_187] : ( multiply(sk_c7,multiply(sk_c3,Z_187)) = multiply(identity,Z_187) ),
inference(superposition,[status(thm),theory(equality)],[c_11558,c_12037]) ).
tff(c_12127,plain,
! [Z_190] : ( multiply(sk_c7,multiply(sk_c3,Z_190)) = Z_190 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12061]) ).
tff(c_12139,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12020,c_12127]) ).
tff(c_12529,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12139,c_12511]) ).
tff(c_12918,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12856,c_12712,c_12777,c_12777,c_12529]) ).
tff(c_12924,plain,
multiply(sk_c4,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12918,c_12825]) ).
tff(c_12786,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_12777,c_12376]) ).
tff(c_13011,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12924,c_12786]) ).
tff(c_13013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12782,c_13011]) ).
tff(c_13014,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_14241,plain,
! [X_231] : ( multiply(inverse(inverse(X_231)),identity) = X_231 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13925]) ).
tff(c_14256,plain,
multiply(inverse(sk_c7),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_13014,c_14241]) ).
tff(c_14269,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_13994,c_14256]) ).
tff(c_13015,plain,
multiply(sk_c2,sk_c7) != sk_c5,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_13041,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13015,c_42]) ).
tff(c_14272,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14269,c_13041]) ).
tff(c_14309,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14297,c_14272]) ).
tff(c_13048,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11531,c_16]) ).
tff(c_13094,plain,
! [Z_203] : ( multiply(sk_c6,multiply(sk_c4,Z_203)) = multiply(identity,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_11535,c_13064]) ).
tff(c_13902,plain,
! [Z_224] : ( multiply(sk_c6,multiply(sk_c4,Z_224)) = Z_224 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13094]) ).
tff(c_13914,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13048,c_13902]) ).
tff(c_13943,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13914,c_13925]) ).
tff(c_13054,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_13015,c_38]) ).
tff(c_13964,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13054,c_13925]) ).
tff(c_14382,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13943,c_13964]) ).
tff(c_13019,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13014,c_4]) ).
tff(c_13091,plain,
! [Z_203] : ( multiply(sk_c7,multiply(sk_c3,Z_203)) = multiply(identity,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_13019,c_13064]) ).
tff(c_13879,plain,
! [Z_223] : ( multiply(sk_c7,multiply(sk_c3,Z_223)) = Z_223 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13091]) ).
tff(c_13891,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13041,c_13879]) ).
tff(c_14423,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14382,c_14382,c_13891]) ).
tff(c_14431,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13914,c_14423]) ).
tff(c_14438,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14431,c_14431,c_13943]) ).
tff(c_14445,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14438]) ).
tff(c_14458,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14445,c_14431]) ).
tff(c_14437,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14431,c_14382]) ).
tff(c_14457,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14445,c_14437]) ).
tff(c_13169,plain,
! [Z_207] : ( multiply(sk_c6,multiply(sk_c4,Z_207)) = Z_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13094]) ).
tff(c_13181,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13048,c_13169]) ).
tff(c_13036,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_13144,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13036,c_13054,c_58]) ).
tff(c_13205,plain,
! [X3_209] :
( ( inverse(X3_209) != sk_c7 )
| ( multiply(X3_209,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_13144]) ).
tff(c_13215,plain,
( ( inverse(sk_c6) != sk_c7 )
| ( sk_c6 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_13054,c_13205]) ).
tff(c_13226,plain,
sk_c6 != sk_c5,
inference(splitLeft,[status(thm)],[c_13215]) ).
tff(c_13146,plain,
! [Z_206] : ( multiply(sk_c7,multiply(sk_c3,Z_206)) = Z_206 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13091]) ).
tff(c_13158,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13041,c_13146]) ).
tff(c_13228,plain,
! [Z_210] : ( multiply(sk_c3,multiply(sk_c6,Z_210)) = multiply(sk_c7,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_13041,c_13064]) ).
tff(c_13249,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_13054,c_13228]) ).
tff(c_13256,plain,
multiply(sk_c3,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13158,c_13249]) ).
tff(c_13111,plain,
! [Z_203] : ( multiply(sk_c7,multiply(sk_c3,Z_203)) = Z_203 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13091]) ).
tff(c_13260,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13256,c_13111]) ).
tff(c_13243,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_13181,c_13228]) ).
tff(c_13282,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13260,c_13256,c_13243]) ).
tff(c_13283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13226,c_13282]) ).
tff(c_13285,plain,
sk_c6 = sk_c5,
inference(splitRight,[status(thm)],[c_13215]) ).
tff(c_13223,plain,
( ( inverse(identity) != sk_c7 )
| ( sk_c7 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_13205]) ).
tff(c_13225,plain,
sk_c7 != sk_c6,
inference(splitLeft,[status(thm)],[c_13223]) ).
tff(c_13286,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13285,c_13225]) ).
tff(c_13298,plain,
inverse(sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13285,c_11530]) ).
tff(c_13306,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13298,c_4]) ).
tff(c_13082,plain,
! [Z_203] : ( multiply(sk_c4,multiply(sk_c5,Z_203)) = multiply(sk_c6,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_13048,c_13064]) ).
tff(c_13362,plain,
! [Z_211] : ( multiply(sk_c4,multiply(sk_c5,Z_211)) = multiply(sk_c5,Z_211) ),
inference(demodulation,[status(thm),theory(equality)],[c_13285,c_13082]) ).
tff(c_13377,plain,
multiply(sk_c5,sk_c4) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_13306,c_13362]) ).
tff(c_13382,plain,
multiply(sk_c4,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13306,c_13377]) ).
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_13397,plain,
! [Z_5] : ( multiply(sk_c4,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_13382,c_6]) ).
tff(c_13400,plain,
! [Z_5] : ( multiply(sk_c4,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_13397]) ).
tff(c_13112,plain,
! [Z_203] : ( multiply(sk_c6,multiply(sk_c4,Z_203)) = Z_203 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13094]) ).
tff(c_13290,plain,
! [Z_203] : ( multiply(sk_c5,multiply(sk_c4,Z_203)) = Z_203 ),
inference(demodulation,[status(thm),theory(equality)],[c_13285,c_13112]) ).
tff(c_13420,plain,
! [Z_213] : ( multiply(sk_c5,Z_213) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_13400,c_13290]) ).
tff(c_13292,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13285,c_13054]) ).
tff(c_13426,plain,
sk_c7 = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13420,c_13292]) ).
tff(c_13444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13286,c_13426]) ).
tff(c_13446,plain,
sk_c7 = sk_c6,
inference(splitRight,[status(thm)],[c_13223]) ).
tff(c_13450,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13446,c_13446,c_13158]) ).
tff(c_13465,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13181,c_13450]) ).
tff(c_13479,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13465,c_13446]) ).
tff(c_13219,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13205]) ).
tff(c_13593,plain,
( ( inverse(inverse(sk_c5)) != sk_c5 )
| ( sk_c5 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13465,c_13479,c_13479,c_13219]) ).
tff(c_13594,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_13593]) ).
tff(c_13456,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13446,c_13036]) ).
tff(c_13572,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13465,c_13465,c_13456]) ).
tff(c_13658,plain,
! [X_218,Z_219] : ( multiply(inverse(X_218),multiply(X_218,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13103]) ).
tff(c_13691,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13572,c_13658]) ).
tff(c_13732,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13691]) ).
tff(c_13734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13594,c_13732]) ).
tff(c_13736,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_13593]) ).
tff(c_13445,plain,
inverse(identity) != sk_c7,
inference(splitRight,[status(thm)],[c_13223]) ).
tff(c_13518,plain,
inverse(identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13479,c_13445]) ).
tff(c_13748,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13736,c_13518]) ).
tff(c_13459,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13446,c_13014]) ).
tff(c_13474,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13459,c_4]) ).
tff(c_13501,plain,
multiply(sk_c5,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13465,c_13474]) ).
tff(c_13750,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13736,c_13501]) ).
tff(c_13864,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_13750,c_2]) ).
tff(c_13478,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13465,c_13459]) ).
tff(c_13747,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13736,c_13478]) ).
tff(c_13874,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13864,c_13747]) ).
tff(c_13877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13748,c_13874]) ).
tff(c_13878,plain,
! [X4_7,X1_8,X2_9] :
( ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_13144]) ).
tff(c_14156,plain,
! [X2_229] :
( ( multiply(X2_229,sk_c5) != sk_c6 )
| ( inverse(X2_229) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_13878]) ).
tff(c_14167,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13048,c_14156]) ).
tff(c_14182,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11530,c_14167]) ).
tff(c_14183,plain,
! [X1_8,X4_7] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_13878]) ).
tff(c_14393,plain,
! [X4_233] :
( ( inverse(X4_233) != sk_c7 )
| ( multiply(X4_233,sk_c7) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_14183]) ).
tff(c_14416,plain,
inverse(sk_c6) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13054,c_14393]) ).
tff(c_14472,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14458,c_14457,c_14416]) ).
tff(c_14444,plain,
inverse(sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14431,c_11530]) ).
tff(c_14475,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14445,c_14444]) ).
tff(c_14000,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13925]) ).
tff(c_14479,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_14475,c_14000]) ).
tff(c_14488,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14479]) ).
tff(c_14490,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14488,c_14475]) ).
tff(c_14492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14472,c_14490]) ).
tff(c_14548,plain,
! [X1_235] :
( ( multiply(X1_235,sk_c6) != sk_c7 )
| ( inverse(X1_235) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_14183]) ).
tff(c_14551,plain,
inverse(sk_c1) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14309,c_14548]) ).
tff(c_14577,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_87,c_14551]) ).
tff(c_14578,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_14775,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14578,c_14730]) ).
tff(c_15051,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14748,c_14775]) ).
tff(c_14584,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13015,c_42]) ).
tff(c_14630,plain,
! [Z_238] : ( multiply(sk_c7,multiply(sk_c3,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_13019,c_14606]) ).
tff(c_14684,plain,
! [Z_241] : ( multiply(sk_c7,multiply(sk_c3,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14630]) ).
tff(c_14696,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14584,c_14684]) ).
tff(c_14754,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14696,c_14730]) ).
tff(c_15062,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15051,c_15051,c_14754]) ).
tff(c_15074,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15062]) ).
tff(c_15067,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15051,c_15051,c_14696]) ).
tff(c_15076,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14719,c_15067]) ).
tff(c_15099,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15074,c_15076]) ).
tff(c_14579,plain,
multiply(sk_c7,sk_c5) != sk_c6,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_15069,plain,
multiply(sk_c6,sk_c5) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15051,c_14579]) ).
tff(c_15204,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15099,c_15074,c_2,c_15074,c_15069]) ).
tff(c_15206,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_15219,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15206,c_24]) ).
tff(c_26,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_15238,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15206,c_26]) ).
tff(c_15223,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15219,c_4]) ).
tff(c_15264,plain,
! [X_251,Y_252,Z_253] : ( multiply(multiply(X_251,Y_252),Z_253) = multiply(X_251,multiply(Y_252,Z_253)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15288,plain,
! [Z_253] : ( multiply(sk_c6,multiply(sk_c4,Z_253)) = multiply(identity,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_15223,c_15264]) ).
tff(c_15313,plain,
! [Z_254] : ( multiply(sk_c6,multiply(sk_c4,Z_254)) = Z_254 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15288]) ).
tff(c_15325,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_15238,c_15313]) ).
tff(c_22,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_15246,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15206,c_22]) ).
tff(c_15205,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_15210,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15205,c_4]) ).
tff(c_15291,plain,
! [Z_253] : ( multiply(sk_c7,multiply(sk_c3,Z_253)) = multiply(identity,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_15210,c_15264]) ).
tff(c_15365,plain,
! [Z_257] : ( multiply(sk_c7,multiply(sk_c3,Z_257)) = Z_257 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15291]) ).
tff(c_15377,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15246,c_15365]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_15233,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_15206,c_18]) ).
tff(c_15647,plain,
! [Z_263] : ( multiply(sk_c6,multiply(sk_c7,Z_263)) = multiply(sk_c5,Z_263) ),
inference(superposition,[status(thm),theory(equality)],[c_15233,c_15264]) ).
tff(c_15665,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_15377,c_15647]) ).
tff(c_15675,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15325,c_15665]) ).
tff(c_15297,plain,
! [X_2,Z_253] : ( multiply(inverse(X_2),multiply(X_2,Z_253)) = multiply(identity,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15264]) ).
tff(c_15308,plain,
! [X_2,Z_253] : ( multiply(inverse(X_2),multiply(X_2,Z_253)) = Z_253 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15297]) ).
tff(c_15694,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15675,c_15308]) ).
tff(c_15703,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15694]) ).
tff(c_15712,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15703,c_15703,c_15377]) ).
tff(c_15721,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15712]) ).
tff(c_15282,plain,
! [Z_253] : ( multiply(sk_c4,multiply(sk_c5,Z_253)) = multiply(sk_c6,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_15238,c_15264]) ).
tff(c_15697,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_15675,c_15282]) ).
tff(c_15704,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15238,c_15233,c_15697]) ).
tff(c_15767,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15721,c_15704]) ).
tff(c_15311,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15233,c_58]) ).
tff(c_15312,plain,
multiply(sk_c7,sk_c5) != sk_c6,
inference(splitLeft,[status(thm)],[c_15311]) ).
tff(c_15714,plain,
multiply(identity,sk_c5) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15703,c_15312]) ).
tff(c_15722,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15714]) ).
tff(c_15787,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15767,c_15721,c_15722]) ).
tff(c_15789,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_15311]) ).
tff(c_15869,plain,
! [X_269,Z_270] : ( multiply(inverse(X_269),multiply(X_269,Z_270)) = Z_270 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15297]) ).
tff(c_15905,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_15789,c_15869]) ).
tff(c_15846,plain,
! [Z_268] : ( multiply(sk_c7,multiply(sk_c3,Z_268)) = Z_268 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15291]) ).
tff(c_15858,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15246,c_15846]) ).
tff(c_15887,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15858,c_15869]) ).
tff(c_16521,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15905,c_15887]) ).
tff(c_16418,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15905,c_15887]) ).
tff(c_16430,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16418,c_75]) ).
tff(c_15932,plain,
multiply(inverse(sk_c7),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_79,c_15869]) ).
tff(c_16172,plain,
! [X_275] : ( multiply(inverse(inverse(X_275)),identity) = X_275 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15869]) ).
tff(c_16190,plain,
multiply(inverse(sk_c7),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_15205,c_16172]) ).
tff(c_16197,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_15932,c_16190]) ).
tff(c_16200,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16197,c_15246]) ).
tff(c_16420,plain,
multiply(sk_c2,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16418,c_16200]) ).
tff(c_16249,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15905,c_15887]) ).
tff(c_15788,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_15311]) ).
tff(c_16083,plain,
! [X2_273] :
( ( multiply(X2_273,sk_c5) != sk_c6 )
| ( inverse(X2_273) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_15788]) ).
tff(c_16100,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15238,c_16083]) ).
tff(c_16113,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15219,c_16100]) ).
tff(c_16114,plain,
! [X1_8,X4_7,X3_6] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_15788]) ).
tff(c_16247,plain,
! [X3_6] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_16114]) ).
tff(c_16338,plain,
! [X3_277] :
( ( inverse(X3_277) != sk_c5 )
| ( multiply(X3_277,sk_c5) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16249,c_16249,c_16247]) ).
tff(c_16355,plain,
inverse(sk_c4) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_15238,c_16338]) ).
tff(c_16366,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15219,c_16355]) ).
tff(c_15917,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15233,c_15869]) ).
tff(c_16252,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16249,c_15917]) ).
tff(c_15797,plain,
! [Z_265] : ( multiply(sk_c6,multiply(sk_c4,Z_265)) = Z_265 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15288]) ).
tff(c_15809,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_15238,c_15797]) ).
tff(c_15896,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15809,c_15869]) ).
tff(c_16413,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16252,c_15896]) ).
tff(c_16414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16366,c_16413]) ).
tff(c_16415,plain,
! [X4_7,X1_8] :
( ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_16114]) ).
tff(c_16417,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_16415]) ).
tff(c_16493,plain,
! [X1_278] :
( ( multiply(X1_278,sk_c6) != sk_c5 )
| ( inverse(X1_278) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16418,c_16418,c_16417]) ).
tff(c_16496,plain,
inverse(sk_c2) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16420,c_16493]) ).
tff(c_16519,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16430,c_16496]) ).
tff(c_16520,plain,
! [X4_7] :
( ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_16415]) ).
tff(c_16596,plain,
! [X4_279] :
( ( inverse(X4_279) != sk_c5 )
| ( multiply(X4_279,sk_c5) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16521,c_16521,c_16520]) ).
tff(c_16613,plain,
( ( inverse(sk_c4) != sk_c5 )
| ( sk_c6 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15238,c_16596]) ).
tff(c_16624,plain,
( ( sk_c6 != sk_c5 )
| ( sk_c6 != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15219,c_16613]) ).
tff(c_16627,plain,
sk_c6 != sk_c5,
inference(splitLeft,[status(thm)],[c_16624]) ).
tff(c_16530,plain,
multiply(sk_c6,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16521,c_15233]) ).
tff(c_16526,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16521,c_16521,c_15858]) ).
tff(c_16653,plain,
! [Z_280] : ( multiply(sk_c4,multiply(sk_c5,Z_280)) = multiply(sk_c6,Z_280) ),
inference(superposition,[status(thm),theory(equality)],[c_15238,c_15264]) ).
tff(c_16671,plain,
multiply(sk_c6,sk_c5) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_16526,c_16653]) ).
tff(c_16679,plain,
multiply(sk_c4,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16530,c_16671]) ).
tff(c_16683,plain,
multiply(inverse(sk_c4),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16679,c_15308]) ).
tff(c_16692,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16530,c_15219,c_16683]) ).
tff(c_16694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16627,c_16692]) ).
tff(c_16695,plain,
sk_c6 != sk_c5,
inference(splitRight,[status(thm)],[c_16624]) ).
tff(c_16696,plain,
sk_c6 = sk_c5,
inference(splitRight,[status(thm)],[c_16624]) ).
tff(c_16724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16695,c_16696]) ).
tff(c_16726,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_52,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_16766,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16726,c_52]) ).
tff(c_16725,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_16730,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16725,c_4]) ).
tff(c_16826,plain,
! [Z_284] : ( multiply(sk_c7,multiply(sk_c3,Z_284)) = multiply(identity,Z_284) ),
inference(superposition,[status(thm),theory(equality)],[c_16730,c_16796]) ).
tff(c_16865,plain,
! [Z_286] : ( multiply(sk_c7,multiply(sk_c3,Z_286)) = Z_286 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16826]) ).
tff(c_16877,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16766,c_16865]) ).
tff(c_48,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_16782,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_16726,c_48]) ).
tff(c_16904,plain,
! [Z_288] : ( multiply(sk_c3,multiply(sk_c6,Z_288)) = multiply(sk_c7,Z_288) ),
inference(superposition,[status(thm),theory(equality)],[c_16766,c_16796]) ).
tff(c_16925,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_16782,c_16904]) ).
tff(c_16932,plain,
multiply(sk_c3,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16877,c_16925]) ).
tff(c_16839,plain,
! [Z_284] : ( multiply(sk_c7,multiply(sk_c3,Z_284)) = Z_284 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16826]) ).
tff(c_16936,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16932,c_16839]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_16775,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16726,c_56]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_16739,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16726,c_54]) ).
tff(c_16743,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16739,c_4]) ).
tff(c_16823,plain,
! [Z_284] : ( multiply(sk_c6,multiply(sk_c4,Z_284)) = multiply(identity,Z_284) ),
inference(superposition,[status(thm),theory(equality)],[c_16743,c_16796]) ).
tff(c_16842,plain,
! [Z_285] : ( multiply(sk_c6,multiply(sk_c4,Z_285)) = Z_285 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16823]) ).
tff(c_16854,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16775,c_16842]) ).
tff(c_16919,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_16854,c_16904]) ).
tff(c_16958,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16936,c_16932,c_16919]) ).
tff(c_16960,plain,
multiply(sk_c3,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16958,c_16932]) ).
tff(c_16968,plain,
multiply(sk_c3,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16958,c_16766]) ).
tff(c_17050,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16960,c_16968]) ).
tff(c_16962,plain,
multiply(sk_c7,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16958,c_16877]) ).
tff(c_17094,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17050,c_17050,c_16962]) ).
tff(c_17098,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_17094,c_16840]) ).
tff(c_17104,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17098]) ).
tff(c_17111,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17104,c_17050]) ).
tff(c_16882,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16782,c_58]) ).
tff(c_16883,plain,
multiply(sk_c7,sk_c5) != sk_c6,
inference(splitLeft,[status(thm)],[c_16882]) ).
tff(c_16963,plain,
multiply(sk_c7,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16958,c_16883]) ).
tff(c_17217,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17111,c_17104,c_17104,c_16963]) ).
tff(c_17219,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_16882]) ).
tff(c_17329,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_17219,c_17302]) ).
tff(c_17326,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16877,c_17302]) ).
tff(c_17812,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17329,c_17326]) ).
tff(c_17344,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16782,c_17302]) ).
tff(c_17815,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17812,c_17344]) ).
tff(c_17335,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16854,c_17302]) ).
tff(c_18599,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17815,c_17335]) ).
tff(c_17816,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17812,c_17329]) ).
tff(c_18600,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18599,c_17816]) ).
tff(c_18613,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18600]) ).
tff(c_16754,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_17822,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17812,c_16754]) ).
tff(c_17818,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17812,c_17812,c_16877]) ).
tff(c_17820,plain,
multiply(sk_c6,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17812,c_16782]) ).
tff(c_16758,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16754,c_4]) ).
tff(c_17353,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_16758,c_17302]) ).
tff(c_17365,plain,
multiply(inverse(sk_c7),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_16730,c_17302]) ).
tff(c_17745,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_17353,c_17365]) ).
tff(c_16817,plain,
! [Z_284] : ( multiply(sk_c3,multiply(sk_c6,Z_284)) = multiply(sk_c7,Z_284) ),
inference(superposition,[status(thm),theory(equality)],[c_16766,c_16796]) ).
tff(c_17914,plain,
! [Z_304] : ( multiply(sk_c1,multiply(sk_c6,Z_304)) = multiply(sk_c5,Z_304) ),
inference(demodulation,[status(thm),theory(equality)],[c_17812,c_17745,c_16817]) ).
tff(c_17929,plain,
multiply(sk_c5,sk_c5) = multiply(sk_c1,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_17820,c_17914]) ).
tff(c_17943,plain,
multiply(sk_c1,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17818,c_17929]) ).
tff(c_17947,plain,
multiply(inverse(sk_c1),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_17943,c_16840]) ).
tff(c_17953,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17822,c_17947]) ).
tff(c_17958,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17953,c_16840]) ).
tff(c_17967,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17958]) ).
tff(c_17980,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17967,c_17967,c_16854]) ).
tff(c_17989,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17980]) ).
tff(c_18072,plain,
! [X_305,Z_306] : ( multiply(inverse(inverse(X_305)),Z_306) = multiply(X_305,Z_306) ),
inference(superposition,[status(thm),theory(equality)],[c_16840,c_17302]) ).
tff(c_18079,plain,
! [X_305] : ( multiply(X_305,identity) = X_305 ),
inference(superposition,[status(thm),theory(equality)],[c_18072,c_17371]) ).
tff(c_17525,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17329,c_17326]) ).
tff(c_17218,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_16882]) ).
tff(c_17248,plain,
! [X2_293] :
( ( multiply(X2_293,sk_c5) != sk_c6 )
| ( inverse(X2_293) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_17218]) ).
tff(c_17258,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16775,c_17248]) ).
tff(c_17271,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16739,c_17258]) ).
tff(c_17272,plain,
! [X1_8,X4_7,X3_6] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_17218]) ).
tff(c_17426,plain,
! [X3_6] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_17272]) ).
tff(c_17568,plain,
! [X3_300] :
( ( inverse(X3_300) != sk_c5 )
| ( multiply(X3_300,sk_c5) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17525,c_17525,c_17426]) ).
tff(c_17582,plain,
inverse(sk_c4) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16775,c_17568]) ).
tff(c_17593,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16739,c_17582]) ).
tff(c_17532,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17525,c_17219]) ).
tff(c_17533,plain,
multiply(sk_c6,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17525,c_16782]) ).
tff(c_17223,plain,
! [Z_5] : ( multiply(sk_c7,multiply(sk_c5,Z_5)) = multiply(sk_c6,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_17219,c_6]) ).
tff(c_17658,plain,
! [Z_301] : ( multiply(sk_c5,multiply(sk_c5,Z_301)) = multiply(sk_c6,Z_301) ),
inference(demodulation,[status(thm),theory(equality)],[c_17525,c_17223]) ).
tff(c_17685,plain,
multiply(sk_c6,sk_c5) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_17532,c_17658]) ).
tff(c_17689,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17533,c_17685]) ).
tff(c_17657,plain,
! [Z_5] : ( multiply(sk_c5,multiply(sk_c5,Z_5)) = multiply(sk_c6,Z_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_17525,c_17223]) ).
tff(c_17693,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_17689,c_17657]) ).
tff(c_17705,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17532,c_16854,c_17693]) ).
tff(c_17707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17593,c_17705]) ).
tff(c_17708,plain,
! [X4_7,X1_8] :
( ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_17272]) ).
tff(c_17828,plain,
! [X4_7,X1_8] :
( ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c5 )
| ( inverse(X1_8) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17812,c_17812,c_17812,c_17812,c_17708]) ).
tff(c_17829,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c5 )
| ( inverse(X1_8) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_17828]) ).
tff(c_18479,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_17989,c_18079,c_17989,c_17967,c_17829]) ).
tff(c_17359,plain,
multiply(inverse(sk_c6),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_16743,c_17302]) ).
tff(c_17978,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_17967,c_17359]) ).
tff(c_17987,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17978]) ).
tff(c_17984,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17967,c_16739]) ).
tff(c_18012,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17987,c_17984]) ).
tff(c_18481,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18479,c_18012]) ).
tff(c_18482,plain,
! [X4_7] :
( ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_17828]) ).
tff(c_19170,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_18721,c_18613,c_18613,c_18613,c_18482]) ).
tff(c_17374,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_17302]) ).
tff(c_18612,plain,
inverse(sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18599,c_16739]) ).
tff(c_18680,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18613,c_18612]) ).
tff(c_18684,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_18680,c_17371]) ).
tff(c_18693,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17374,c_18684]) ).
tff(c_18695,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18693,c_18680]) ).
tff(c_19172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19170,c_18695]) ).
tff(c_19173,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_19208,plain,
! [X_328,Y_329,Z_330] : ( multiply(multiply(X_328,Y_329),Z_330) = multiply(X_328,multiply(Y_329,Z_330)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19232,plain,
! [Z_330] : ( multiply(sk_c6,multiply(sk_c4,Z_330)) = multiply(identity,Z_330) ),
inference(superposition,[status(thm),theory(equality)],[c_16743,c_19208]) ).
tff(c_19534,plain,
! [Z_338] : ( multiply(sk_c6,multiply(sk_c4,Z_338)) = Z_338 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19232]) ).
tff(c_19546,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_19173,c_19534]) ).
tff(c_19184,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16726,c_52]) ).
tff(c_19235,plain,
! [Z_330] : ( multiply(sk_c7,multiply(sk_c3,Z_330)) = multiply(identity,Z_330) ),
inference(superposition,[status(thm),theory(equality)],[c_16730,c_19208]) ).
tff(c_19557,plain,
! [Z_339] : ( multiply(sk_c7,multiply(sk_c3,Z_339)) = Z_339 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19235]) ).
tff(c_19569,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_19184,c_19557]) ).
tff(c_19174,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_19179,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_19174,c_18]) ).
tff(c_19613,plain,
! [Z_341] : ( multiply(sk_c6,multiply(sk_c7,Z_341)) = multiply(sk_c5,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_19179,c_19208]) ).
tff(c_19625,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_19569,c_19613]) ).
tff(c_19638,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_19546,c_19625]) ).
tff(c_19238,plain,
! [X_2,Z_330] : ( multiply(inverse(X_2),multiply(X_2,Z_330)) = multiply(identity,Z_330) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19208]) ).
tff(c_19662,plain,
! [X_342,Z_343] : ( multiply(inverse(X_342),multiply(X_342,Z_343)) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19238]) ).
tff(c_19683,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19638,c_19662]) ).
tff(c_19738,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19683]) ).
tff(c_19248,plain,
! [X_2,Z_330] : ( multiply(inverse(X_2),multiply(X_2,Z_330)) = Z_330 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19238]) ).
tff(c_20457,plain,
! [X_357,Z_358] : ( multiply(inverse(inverse(X_357)),Z_358) = multiply(X_357,Z_358) ),
inference(superposition,[status(thm),theory(equality)],[c_19662,c_19248]) ).
tff(c_19731,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19662]) ).
tff(c_20464,plain,
! [X_357] : ( multiply(X_357,identity) = X_357 ),
inference(superposition,[status(thm),theory(equality)],[c_20457,c_19731]) ).
tff(c_20252,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19738,c_19738,c_19569]) ).
tff(c_20259,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20252]) ).
tff(c_19979,plain,
! [X_347,Z_348] : ( multiply(inverse(inverse(X_347)),Z_348) = multiply(X_347,Z_348) ),
inference(superposition,[status(thm),theory(equality)],[c_19248,c_19662]) ).
tff(c_19986,plain,
! [X_347] : ( multiply(X_347,identity) = X_347 ),
inference(superposition,[status(thm),theory(equality)],[c_19979,c_19731]) ).
tff(c_19761,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19738,c_19738,c_19569]) ).
tff(c_19768,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19761]) ).
tff(c_19298,plain,
! [Z_333] : ( multiply(sk_c6,multiply(sk_c4,Z_333)) = Z_333 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19232]) ).
tff(c_19310,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_19173,c_19298]) ).
tff(c_19253,plain,
! [Z_331] : ( multiply(sk_c7,multiply(sk_c3,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19235]) ).
tff(c_19265,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_19184,c_19253]) ).
tff(c_19276,plain,
! [Z_332] : ( multiply(sk_c6,multiply(sk_c7,Z_332)) = multiply(sk_c5,Z_332) ),
inference(superposition,[status(thm),theory(equality)],[c_19179,c_19208]) ).
tff(c_19288,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_19265,c_19276]) ).
tff(c_19329,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_19310,c_19288]) ).
tff(c_19337,plain,
! [X_334,Z_335] : ( multiply(inverse(X_334),multiply(X_334,Z_335)) = Z_335 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19238]) ).
tff(c_19355,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19329,c_19337]) ).
tff(c_19407,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19355]) ).
tff(c_19454,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19407,c_19407,c_19265]) ).
tff(c_19465,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19454]) ).
tff(c_19472,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_19465,c_19465,c_19310]) ).
tff(c_19478,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19472]) ).
tff(c_19251,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19179,c_58]) ).
tff(c_19252,plain,
multiply(sk_c7,sk_c5) != sk_c6,
inference(splitLeft,[status(thm)],[c_19251]) ).
tff(c_19456,plain,
multiply(identity,sk_c5) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19407,c_19252]) ).
tff(c_19466,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19456]) ).
tff(c_19524,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19478,c_19465,c_19466]) ).
tff(c_19526,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_19251]) ).
tff(c_19631,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_19526,c_19613]) ).
tff(c_19639,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_19546,c_19631]) ).
tff(c_19686,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_19639,c_19662]) ).
tff(c_19739,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19686]) ).
tff(c_19525,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_19251]) ).
tff(c_19581,plain,
! [X2_340] :
( ( multiply(X2_340,sk_c5) != sk_c6 )
| ( inverse(X2_340) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_19525]) ).
tff(c_19591,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_19173,c_19581]) ).
tff(c_19604,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16739,c_19591]) ).
tff(c_19605,plain,
! [X1_8,X4_7,X3_6] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_19525]) ).
tff(c_19759,plain,
! [X1_8,X4_7,X3_6] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != identity )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19739,c_19605]) ).
tff(c_19760,plain,
! [X3_6] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_19759]) ).
tff(c_20248,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_19986,c_19768,c_19738,c_19738,c_19760]) ).
tff(c_19767,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19738,c_16725]) ).
tff(c_19832,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19767,c_4]) ).
tff(c_19857,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_19832,c_19248]) ).
tff(c_19869,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19857]) ).
tff(c_19873,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19869,c_19767]) ).
tff(c_20250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20248,c_19873]) ).
tff(c_20251,plain,
! [X4_7,X1_8] :
( ( inverse(X4_7) != sk_c7 )
| ( multiply(X4_7,sk_c7) != identity )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_19759]) ).
tff(c_31087,plain,
! [X4_7,X1_8] :
( ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19738,c_20464,c_20259,c_19738,c_20464,c_19738,c_19738,c_20251]) ).
tff(c_31089,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_31087]) ).
tff(c_20258,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19738,c_16725]) ).
tff(c_20294,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20258,c_4]) ).
tff(c_20325,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_20294,c_19248]) ).
tff(c_20337,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20325]) ).
tff(c_20341,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20337,c_20258]) ).
tff(c_31091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31089,c_20341]) ).
tff(c_31093,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_31087]) ).
tff(c_31095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31093,c_20341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP270-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:21:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 12.13/4.14 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.13/4.20
% 12.13/4.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.13/4.29
% 12.13/4.29 Inference rules
% 12.13/4.29 ----------------------
% 12.13/4.29 #Ref : 0
% 12.13/4.29 #Sup : 7843
% 12.13/4.29 #Fact : 0
% 12.13/4.29 #Define : 0
% 12.13/4.29 #Split : 42
% 12.13/4.29 #Chain : 0
% 12.13/4.29 #Close : 0
% 12.13/4.29
% 12.13/4.29 Ordering : KBO
% 12.13/4.29
% 12.13/4.29 Simplification rules
% 12.13/4.29 ----------------------
% 12.13/4.29 #Subsume : 13
% 12.13/4.29 #Demod : 15968
% 12.13/4.29 #Tautology : 6168
% 12.13/4.29 #SimpNegUnit : 77
% 12.13/4.29 #BackRed : 664
% 12.13/4.29
% 12.13/4.29 #Partial instantiations: 0
% 12.13/4.29 #Strategies tried : 1
% 12.13/4.29
% 12.13/4.29 Timing (in seconds)
% 12.13/4.29 ----------------------
% 12.13/4.29 Preprocessing : 0.50
% 12.13/4.29 Parsing : 0.21
% 12.13/4.29 CNF conversion : 0.02
% 12.13/4.29 Main loop : 2.62
% 12.13/4.29 Inferencing : 0.84
% 12.13/4.29 Reduction : 1.20
% 12.13/4.29 Demodulation : 1.02
% 12.13/4.29 BG Simplification : 0.09
% 12.13/4.29 Subsumption : 0.30
% 12.13/4.29 Abstraction : 0.13
% 12.13/4.29 MUC search : 0.00
% 12.13/4.29 Cooper : 0.00
% 12.13/4.29 Total : 3.27
% 12.13/4.29 Index Insertion : 0.00
% 12.13/4.29 Index Deletion : 0.00
% 12.13/4.29 Index Matching : 0.00
% 12.13/4.29 BG Taut test : 0.00
%------------------------------------------------------------------------------