TSTP Solution File: GRP283-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP283-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:46 EDT 2023
% Result : Unsatisfiable 18.88s 8.11s
% Output : CNFRefutation 19.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 48
% Syntax : Number of formulae : 795 ( 684 unt; 11 typ; 0 def)
% Number of atoms : 1020 ( 987 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 506 ( 270 ~; 236 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 336 (; 336 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X3,sk_c8) != sk_c7 )
| ( inverse(X3) != sk_c8 )
| ( multiply(sk_c8,X4) != sk_c7 )
| ( multiply(X5,sk_c8) != X4 )
| ( inverse(X5) != sk_c8 )
| ( multiply(sk_c7,sk_c6) != sk_c8 )
| ( inverse(sk_c7) != sk_c6 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( inverse(X1) != sk_c7 )
| ( multiply(X2,sk_c8) != sk_c6 )
| ( inverse(X2) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_65186,plain,
! [X_628,Y_629,Z_630] : ( multiply(multiply(X_628,Y_629),Z_630) = multiply(X_628,multiply(Y_629,Z_630)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_65222,plain,
! [X_2,Z_630] : ( multiply(inverse(X_2),multiply(X_2,Z_630)) = multiply(identity,Z_630) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65186]) ).
tff(c_65234,plain,
! [X_2,Z_630] : ( multiply(inverse(X_2),multiply(X_2,Z_630)) = Z_630 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65222]) ).
tff(c_66653,plain,
! [X_661,Z_662] : ( multiply(inverse(X_661),multiply(X_661,Z_662)) = Z_662 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65222]) ).
tff(c_66882,plain,
! [X_665,Z_666] : ( multiply(inverse(inverse(X_665)),Z_666) = multiply(X_665,Z_666) ),
inference(superposition,[status(thm),theory(equality)],[c_65234,c_66653]) ).
tff(c_66686,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_66653]) ).
tff(c_66889,plain,
! [X_665] : ( multiply(X_665,identity) = X_665 ),
inference(superposition,[status(thm),theory(equality)],[c_66882,c_66686]) ).
tff(c_42219,plain,
! [X_434,Y_435,Z_436] : ( multiply(multiply(X_434,Y_435),Z_436) = multiply(X_434,multiply(Y_435,Z_436)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_42255,plain,
! [X_2,Z_436] : ( multiply(inverse(X_2),multiply(X_2,Z_436)) = multiply(identity,Z_436) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_42219]) ).
tff(c_42267,plain,
! [X_2,Z_436] : ( multiply(inverse(X_2),multiply(X_2,Z_436)) = Z_436 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42255]) ).
tff(c_43459,plain,
! [X_462,Z_463] : ( multiply(inverse(X_462),multiply(X_462,Z_463)) = Z_463 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42255]) ).
tff(c_43714,plain,
! [X_466,Z_467] : ( multiply(inverse(inverse(X_466)),Z_467) = multiply(X_466,Z_467) ),
inference(superposition,[status(thm),theory(equality)],[c_42267,c_43459]) ).
tff(c_43507,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_43459]) ).
tff(c_43721,plain,
! [X_466] : ( multiply(X_466,identity) = X_466 ),
inference(superposition,[status(thm),theory(equality)],[c_43714,c_43507]) ).
tff(c_35994,plain,
! [X_310,Y_311,Z_312] : ( multiply(multiply(X_310,Y_311),Z_312) = multiply(X_310,multiply(Y_311,Z_312)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36039,plain,
! [X_2,Z_312] : ( multiply(inverse(X_2),multiply(X_2,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35994]) ).
tff(c_36749,plain,
! [X_326,Z_327] : ( multiply(inverse(X_326),multiply(X_326,Z_327)) = Z_327 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36039]) ).
tff(c_36052,plain,
! [X_2,Z_312] : ( multiply(inverse(X_2),multiply(X_2,Z_312)) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36039]) ).
tff(c_36937,plain,
! [X_329,Z_330] : ( multiply(inverse(inverse(X_329)),Z_330) = multiply(X_329,Z_330) ),
inference(superposition,[status(thm),theory(equality)],[c_36749,c_36052]) ).
tff(c_36788,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36749]) ).
tff(c_36944,plain,
! [X_329] : ( multiply(X_329,identity) = X_329 ),
inference(superposition,[status(thm),theory(equality)],[c_36937,c_36788]) ).
tff(c_66,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_125,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_74,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_97,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_101,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_34988,plain,
! [X_290,Y_291,Z_292] : ( multiply(multiply(X_290,Y_291),Z_292) = multiply(X_290,multiply(Y_291,Z_292)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35027,plain,
! [Z_292] : ( multiply(sk_c8,multiply(sk_c2,Z_292)) = multiply(identity,Z_292) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_34988]) ).
tff(c_35058,plain,
! [Z_294] : ( multiply(sk_c8,multiply(sk_c2,Z_294)) = Z_294 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35027]) ).
tff(c_35070,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_125,c_35058]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_34618,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_34649,plain,
! [X_283,Y_284,Z_285] : ( multiply(multiply(X_283,Y_284),Z_285) = multiply(X_283,multiply(Y_284,Z_285)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34691,plain,
! [Z_285] : ( multiply(sk_c8,multiply(sk_c2,Z_285)) = multiply(identity,Z_285) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_34649]) ).
tff(c_34722,plain,
! [Z_287] : ( multiply(sk_c8,multiply(sk_c2,Z_287)) = Z_287 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34691]) ).
tff(c_34734,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_125,c_34722]) ).
tff(c_34738,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34618,c_34734]) ).
tff(c_22,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_33742,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_34,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_110,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_114,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_110,c_4]) ).
tff(c_34349,plain,
! [X_276,Y_277,Z_278] : ( multiply(multiply(X_276,Y_277),Z_278) = multiply(X_276,multiply(Y_277,Z_278)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34388,plain,
! [Z_278] : ( multiply(sk_c8,multiply(sk_c1,Z_278)) = multiply(identity,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_34349]) ).
tff(c_34409,plain,
! [Z_279] : ( multiply(sk_c8,multiply(sk_c1,Z_279)) = Z_279 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34388]) ).
tff(c_34421,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33742,c_34409]) ).
tff(c_171,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_204,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_171]) ).
tff(c_214,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_375,plain,
! [X_19,Z_20] : ( multiply(inverse(X_19),multiply(X_19,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_706,plain,
! [X_24,Z_25] : ( multiply(inverse(inverse(X_24)),Z_25) = multiply(X_24,Z_25) ),
inference(superposition,[status(thm),theory(equality)],[c_214,c_375]) ).
tff(c_417,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_375]) ).
tff(c_713,plain,
! [X_24] : ( multiply(X_24,identity) = X_24 ),
inference(superposition,[status(thm),theory(equality)],[c_706,c_417]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_130,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_136,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_198,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_171]) ).
tff(c_216,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_198]) ).
tff(c_228,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_136,c_216]) ).
tff(c_232,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_130,c_228]) ).
tff(c_80,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_246,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( inverse(sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_232,c_232,c_232,c_232,c_232,c_232,c_232,c_232,c_232,c_232,c_80]) ).
tff(c_247,plain,
multiply(sk_c6,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_246]) ).
tff(c_239,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_110]) ).
tff(c_235,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_136]) ).
tff(c_277,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_204]) ).
tff(c_295,plain,
multiply(inverse(sk_c1),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_235,c_277]) ).
tff(c_317,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_239,c_295]) ).
tff(c_319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_247,c_317]) ).
tff(c_321,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_246]) ).
tff(c_405,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_321,c_375]) ).
tff(c_425,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_405]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_141,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_234,plain,
multiply(sk_c6,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_141]) ).
tff(c_426,plain,
multiply(sk_c6,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_425,c_234]) ).
tff(c_241,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_97]) ).
tff(c_237,plain,
multiply(sk_c2,sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_125]) ).
tff(c_436,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_237,c_214]) ).
tff(c_442,plain,
multiply(sk_c6,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_241,c_436]) ).
tff(c_480,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_426,c_442]) ).
tff(c_325,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_239,c_4]) ).
tff(c_486,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_480,c_325]) ).
tff(c_557,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_486,c_2]) ).
tff(c_488,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_480,c_239]) ).
tff(c_568,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_557,c_488]) ).
tff(c_320,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( multiply(sk_c7,sk_c6) != sk_c6 )
| ( inverse(sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_246]) ).
tff(c_8155,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_713,c_480,c_480,c_480,c_713,c_480,c_425,c_425,c_713,c_480,c_2,c_480,c_425,c_480,c_713,c_480,c_425,c_480,c_568,c_480,c_425,c_2,c_425,c_320]) ).
tff(c_8157,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8155]) ).
tff(c_8159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8157,c_568]) ).
tff(c_8160,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_8155]) ).
tff(c_30528,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8160]) ).
tff(c_30530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30528,c_568]) ).
tff(c_30531,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_8160]) ).
tff(c_31677,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_30531]) ).
tff(c_31679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31677,c_568]) ).
tff(c_31681,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_30531]) ).
tff(c_31683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31681,c_568]) ).
tff(c_31685,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_46,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_31720,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_31685,c_46]) ).
tff(c_31724,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31720,c_4]) ).
tff(c_31756,plain,
! [X_222,Y_223,Z_224] : ( multiply(multiply(X_222,Y_223),Z_224) = multiply(X_222,multiply(Y_223,Z_224)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31798,plain,
! [Z_224] : ( multiply(sk_c8,multiply(sk_c1,Z_224)) = multiply(identity,Z_224) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_31756]) ).
tff(c_31819,plain,
! [Z_225] : ( multiply(sk_c8,multiply(sk_c1,Z_225)) = Z_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31798]) ).
tff(c_31831,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_136,c_31819]) ).
tff(c_31835,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_130,c_31831]) ).
tff(c_31844,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31835,c_130]) ).
tff(c_31850,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31724,c_31844]) ).
tff(c_31848,plain,
multiply(sk_c6,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31835,c_101]) ).
tff(c_32052,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31850,c_31848]) ).
tff(c_31845,plain,
multiply(sk_c2,sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_31835,c_125]) ).
tff(c_32060,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32052,c_31850,c_31845]) ).
tff(c_31863,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31850,c_31720]) ).
tff(c_31907,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31863,c_4]) ).
tff(c_31804,plain,
! [X_2,Z_224] : ( multiply(inverse(X_2),multiply(X_2,Z_224)) = multiply(identity,Z_224) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31756]) ).
tff(c_31817,plain,
! [X_2,Z_224] : ( multiply(inverse(X_2),multiply(X_2,Z_224)) = Z_224 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31804]) ).
tff(c_31986,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_31907,c_31817]) ).
tff(c_31998,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31986]) ).
tff(c_31842,plain,
multiply(sk_c6,sk_c3) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_31835,c_31685]) ).
tff(c_32084,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32060,c_31998,c_2,c_31850,c_31842]) ).
tff(c_32085,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_32090,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32085,c_4]) ).
tff(c_32094,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_32162,plain,
! [X_230,Y_231,Z_232] : ( multiply(multiply(X_230,Y_231),Z_232) = multiply(X_230,multiply(Y_231,Z_232)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32207,plain,
! [Z_232] : ( multiply(sk_c8,multiply(sk_c2,Z_232)) = multiply(identity,Z_232) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_32162]) ).
tff(c_32238,plain,
! [Z_234] : ( multiply(sk_c8,multiply(sk_c2,Z_234)) = Z_234 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32207]) ).
tff(c_32250,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_125,c_32238]) ).
tff(c_32254,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32094,c_32250]) ).
tff(c_32086,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_20,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_32147,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32086,c_20]) ).
tff(c_32258,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32254,c_32147]) ).
tff(c_32210,plain,
! [X_2,Z_232] : ( multiply(inverse(X_2),multiply(X_2,Z_232)) = multiply(identity,Z_232) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32162]) ).
tff(c_32223,plain,
! [X_2,Z_232] : ( multiply(inverse(X_2),multiply(X_2,Z_232)) = Z_232 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32210]) ).
tff(c_32534,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_32258,c_32223]) ).
tff(c_32541,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32090,c_32085,c_32534]) ).
tff(c_32266,plain,
multiply(sk_c7,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32254,c_114]) ).
tff(c_32453,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_32266,c_32223]) ).
tff(c_32459,plain,
multiply(sk_c6,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_32085,c_32453]) ).
tff(c_32670,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32541,c_32459]) ).
tff(c_32263,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32254,c_32094]) ).
tff(c_32402,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_32263,c_32223]) ).
tff(c_32408,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32090,c_32085,c_32402]) ).
tff(c_32265,plain,
multiply(sk_c2,sk_c7) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_32254,c_125]) ).
tff(c_32437,plain,
multiply(sk_c2,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32408,c_32265]) ).
tff(c_26,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_32104,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32086,c_26]) ).
tff(c_32108,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32104,c_4]) ).
tff(c_32331,plain,
! [X_235,Z_236] : ( multiply(inverse(X_235),multiply(X_235,Z_236)) = Z_236 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32210]) ).
tff(c_32358,plain,
multiply(inverse(sk_c7),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_32108,c_32331]) ).
tff(c_32377,plain,
multiply(sk_c6,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_32085,c_32358]) ).
tff(c_32269,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32254,c_97]) ).
tff(c_32277,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32269,c_4]) ).
tff(c_32413,plain,
multiply(inverse(sk_c7),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_32277,c_32223]) ).
tff(c_32419,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_32377,c_32085,c_32413]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_32142,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32086,c_24]) ).
tff(c_32259,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32254,c_32142]) ).
tff(c_32600,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32437,c_32419,c_32259]) ).
tff(c_32262,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32254,c_32086]) ).
tff(c_32604,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32600,c_32600,c_32262]) ).
tff(c_32714,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32670,c_32604]) ).
tff(c_32716,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_32776,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32716,c_48]) ).
tff(c_32715,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_32720,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32715,c_4]) ).
tff(c_32785,plain,
! [X_239,Y_240,Z_241] : ( multiply(multiply(X_239,Y_240),Z_241) = multiply(X_239,multiply(Y_240,Z_241)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32815,plain,
! [Z_241] : ( multiply(sk_c7,multiply(sk_c4,Z_241)) = multiply(identity,Z_241) ),
inference(superposition,[status(thm),theory(equality)],[c_32720,c_32785]) ).
tff(c_33449,plain,
! [Z_261] : ( multiply(sk_c7,multiply(sk_c4,Z_261)) = Z_261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32815]) ).
tff(c_33467,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32776,c_33449]) ).
tff(c_32812,plain,
! [Z_241] : ( multiply(sk_c6,multiply(sk_c7,Z_241)) = multiply(identity,Z_241) ),
inference(superposition,[status(thm),theory(equality)],[c_32090,c_32785]) ).
tff(c_32839,plain,
! [Z_241] : ( multiply(sk_c6,multiply(sk_c7,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32812]) ).
tff(c_33474,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33467,c_32839]) ).
tff(c_33483,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32090,c_33474]) ).
tff(c_32827,plain,
! [Z_241] : ( multiply(sk_c8,multiply(sk_c2,Z_241)) = multiply(identity,Z_241) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_32785]) ).
tff(c_33175,plain,
! [Z_251] : ( multiply(sk_c8,multiply(sk_c2,Z_251)) = Z_251 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32827]) ).
tff(c_33187,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_125,c_33175]) ).
tff(c_33191,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33187,c_32716]) ).
tff(c_33494,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_33483,c_33191]) ).
tff(c_33506,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33483,c_110]) ).
tff(c_33580,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33506,c_4]) ).
tff(c_33615,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_33580,c_2]) ).
tff(c_33624,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33615,c_33506]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_32735,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32716,c_54]) ).
tff(c_33501,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33483,c_32735]) ).
tff(c_33398,plain,
! [Z_260] : ( multiply(sk_c6,multiply(sk_c7,Z_260)) = Z_260 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32812]) ).
tff(c_33413,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_32720,c_33398]) ).
tff(c_44,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_32766,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32716,c_44]) ).
tff(c_33410,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_32766,c_33398]) ).
tff(c_33489,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33483,c_33410]) ).
tff(c_33511,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_33413,c_33489]) ).
tff(c_32760,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_32716,c_52]) ).
tff(c_33499,plain,
multiply(sk_c5,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33483,c_32760]) ).
tff(c_33595,plain,
multiply(sk_c5,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_33511,c_33499]) ).
tff(c_32830,plain,
! [X_2,Z_241] : ( multiply(inverse(X_2),multiply(X_2,Z_241)) = multiply(identity,Z_241) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32785]) ).
tff(c_33652,plain,
! [X_264,Z_265] : ( multiply(inverse(X_264),multiply(X_264,Z_265)) = Z_265 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32830]) ).
tff(c_33676,plain,
multiply(inverse(sk_c5),sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33595,c_33652]) ).
tff(c_33715,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33501,c_33676]) ).
tff(c_33728,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33715,c_32715]) ).
tff(c_33730,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33624,c_33728]) ).
tff(c_33732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33494,c_33730]) ).
tff(c_33734,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_34427,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34421,c_33734]) ).
tff(c_34394,plain,
! [X_2,Z_278] : ( multiply(inverse(X_2),multiply(X_2,Z_278)) = multiply(identity,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34349]) ).
tff(c_34459,plain,
! [X_281,Z_282] : ( multiply(inverse(X_281),multiply(X_281,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34394]) ).
tff(c_34483,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34421,c_34459]) ).
tff(c_34545,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34483]) ).
tff(c_8,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_33791,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_33734,c_8]) ).
tff(c_34563,plain,
multiply(identity,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34545,c_33791]) ).
tff(c_34569,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34563]) ).
tff(c_34571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34427,c_34569]) ).
tff(c_34573,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_34639,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34573,c_20]) ).
tff(c_34741,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34738,c_34639]) ).
tff(c_34694,plain,
! [X_2,Z_285] : ( multiply(inverse(X_2),multiply(X_2,Z_285)) = multiply(identity,Z_285) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34649]) ).
tff(c_34812,plain,
! [X_288,Z_289] : ( multiply(inverse(X_288),multiply(X_288,Z_289)) = Z_289 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34694]) ).
tff(c_34830,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34741,c_34812]) ).
tff(c_34873,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34830]) ).
tff(c_34572,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_34887,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34873,c_34572]) ).
tff(c_34751,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34738,c_110]) ).
tff(c_34778,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34751,c_4]) ).
tff(c_34707,plain,
! [X_2,Z_285] : ( multiply(inverse(X_2),multiply(X_2,Z_285)) = Z_285 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34694]) ).
tff(c_34905,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_34778,c_34707]) ).
tff(c_34911,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34887,c_34905]) ).
tff(c_34746,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34738,c_34573]) ).
tff(c_34956,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34911,c_34746]) ).
tff(c_34958,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_35074,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35070,c_34958]) ).
tff(c_34957,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_34581,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_33734,c_18]) ).
tff(c_34585,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34581,c_4]) ).
tff(c_35018,plain,
! [Z_292] : ( multiply(sk_c8,multiply(sk_c5,Z_292)) = multiply(identity,Z_292) ),
inference(superposition,[status(thm),theory(equality)],[c_34585,c_34988]) ).
tff(c_35084,plain,
! [Z_295] : ( multiply(sk_c8,multiply(sk_c5,Z_295)) = Z_295 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35018]) ).
tff(c_35096,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34957,c_35084]) ).
tff(c_35030,plain,
! [X_2,Z_292] : ( multiply(inverse(X_2),multiply(X_2,Z_292)) = multiply(identity,Z_292) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34988]) ).
tff(c_35198,plain,
! [X_298,Z_299] : ( multiply(inverse(X_298),multiply(X_298,Z_299)) = Z_299 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35030]) ).
tff(c_35234,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_35096,c_35198]) ).
tff(c_35304,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35234]) ).
tff(c_33733,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_33738,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33733,c_4]) ).
tff(c_35264,plain,
multiply(inverse(sk_c7),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_33738,c_35198]) ).
tff(c_35309,plain,
multiply(sk_c6,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_34572,c_35264]) ).
tff(c_35389,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35304,c_35309]) ).
tff(c_34963,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34573,c_24]) ).
tff(c_35390,plain,
multiply(identity,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35389,c_34963]) ).
tff(c_35393,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35390]) ).
tff(c_35395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35074,c_35393]) ).
tff(c_35397,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_58,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_35952,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35397,c_58]) ).
tff(c_35956,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35952,c_4]) ).
tff(c_35405,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_35414,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_36033,plain,
! [Z_312] : ( multiply(sk_c8,multiply(sk_c1,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_35994]) ).
tff(c_36054,plain,
! [Z_313] : ( multiply(sk_c8,multiply(sk_c1,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36033]) ).
tff(c_36066,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35414,c_36054]) ).
tff(c_36070,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35405,c_36066]) ).
tff(c_36330,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36070,c_35405]) ).
tff(c_36337,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35956,c_36330]) ).
tff(c_36334,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36070,c_110]) ).
tff(c_36372,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36337,c_36334]) ).
tff(c_36328,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36070,c_35414]) ).
tff(c_36813,plain,
multiply(sk_c1,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36337,c_36328]) ).
tff(c_36817,plain,
multiply(inverse(sk_c1),sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36813,c_36052]) ).
tff(c_36823,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36372,c_36817]) ).
tff(c_36333,plain,
multiply(sk_c6,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36070,c_114]) ).
tff(c_36414,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36337,c_36333]) ).
tff(c_36416,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36414,c_36372]) ).
tff(c_36466,plain,
! [X_318,Z_319] : ( multiply(inverse(X_318),multiply(X_318,Z_319)) = Z_319 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36039]) ).
tff(c_36555,plain,
! [X_320] : ( multiply(inverse(inverse(X_320)),identity) = X_320 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36466]) ).
tff(c_36561,plain,
! [X_320] : ( multiply(inverse(inverse(inverse(X_320))),X_320) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_36555,c_36052]) ).
tff(c_36360,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36337,c_36070]) ).
tff(c_36081,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36070,c_35405]) ).
tff(c_36088,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35956,c_36081]) ).
tff(c_36084,plain,
multiply(sk_c6,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36070,c_114]) ).
tff(c_36149,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36088,c_36084]) ).
tff(c_36079,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36070,c_35414]) ).
tff(c_36186,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36149,c_36088,c_36079]) ).
tff(c_36085,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36070,c_110]) ).
tff(c_36104,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36088,c_36085]) ).
tff(c_36150,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36149,c_36104]) ).
tff(c_36093,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36088,c_36070]) ).
tff(c_35439,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35397,c_58]) ).
tff(c_35443,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35439,c_4]) ).
tff(c_35484,plain,
! [X_301,Y_302,Z_303] : ( multiply(multiply(X_301,Y_302),Z_303) = multiply(X_301,multiply(Y_302,Z_303)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35526,plain,
! [Z_303] : ( multiply(sk_c8,multiply(sk_c1,Z_303)) = multiply(identity,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_35484]) ).
tff(c_35547,plain,
! [Z_304] : ( multiply(sk_c8,multiply(sk_c1,Z_304)) = Z_304 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35526]) ).
tff(c_35559,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35414,c_35547]) ).
tff(c_35563,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35405,c_35559]) ).
tff(c_35571,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35563,c_35405]) ).
tff(c_35578,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35443,c_35571]) ).
tff(c_35577,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35563,c_97]) ).
tff(c_35749,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35578,c_35577]) ).
tff(c_35753,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35749,c_4]) ).
tff(c_35532,plain,
! [X_2,Z_303] : ( multiply(inverse(X_2),multiply(X_2,Z_303)) = multiply(identity,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35484]) ).
tff(c_35545,plain,
! [X_2,Z_303] : ( multiply(inverse(X_2),multiply(X_2,Z_303)) = Z_303 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35532]) ).
tff(c_35827,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_35753,c_35545]) ).
tff(c_35839,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35827]) ).
tff(c_35572,plain,
multiply(sk_c2,sk_c6) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_35563,c_35397]) ).
tff(c_35855,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35839,c_35578,c_35572]) ).
tff(c_35583,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35578,c_35563]) ).
tff(c_35594,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != identity )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != identity )
| ( inverse(sk_c7) != identity )
| ( multiply(sk_c7,identity) != identity )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 )
| ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c7 )
| ( sk_c7 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35583,c_35578,c_35583,c_35583,c_35583,c_2,c_35583,c_35583,c_35583,c_35578,c_35578,c_35583,c_35583,c_35578,c_35583,c_80]) ).
tff(c_35595,plain,
sk_c7 != identity,
inference(splitLeft,[status(thm)],[c_35594]) ).
tff(c_35575,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35563,c_110]) ).
tff(c_35596,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35578,c_35575]) ).
tff(c_35600,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35596,c_4]) ).
tff(c_35618,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_35600,c_2]) ).
tff(c_35627,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35618,c_35596]) ).
tff(c_35585,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35578,c_35439]) ).
tff(c_62,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_35427,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_35397,c_62]) ).
tff(c_35431,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35427,c_4]) ).
tff(c_35657,plain,
! [X_305,Z_306] : ( multiply(inverse(X_305),multiply(X_305,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35532]) ).
tff(c_35690,plain,
multiply(inverse(sk_c7),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_35431,c_35657]) ).
tff(c_35704,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35585,c_35690]) ).
tff(c_35707,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35704,c_35427]) ).
tff(c_35708,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35627,c_35707]) ).
tff(c_35710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35595,c_35708]) ).
tff(c_35712,plain,
sk_c7 = identity,
inference(splitRight,[status(thm)],[c_35594]) ).
tff(c_35420,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_35568,plain,
multiply(sk_c6,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35563,c_35420]) ).
tff(c_35926,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35712,c_2,c_35578,c_35568]) ).
tff(c_35927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35855,c_35926]) ).
tff(c_35929,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_35985,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_35929,c_44]) ).
tff(c_36072,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35405,c_35985,c_35952,c_80]) ).
tff(c_36073,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_36072]) ).
tff(c_36121,plain,
! [X3_314] :
( ( inverse(X3_314) != identity )
| ( multiply(X3_314,identity) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36093,c_36093,c_36073]) ).
tff(c_36133,plain,
( ( inverse(identity) != identity )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_36121]) ).
tff(c_36321,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36186,c_36150,c_36133]) ).
tff(c_36322,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_36072]) ).
tff(c_36396,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != identity )
| ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36360,c_36337,c_36360,c_36360,c_36360,c_2,c_36360,c_36360,c_36322]) ).
tff(c_36717,plain,
! [X2_325] :
( ( inverse(X2_325) != identity )
| ( multiply(X2_325,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_36396]) ).
tff(c_36721,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_36561,c_36717]) ).
tff(c_36740,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36416,c_36416,c_36416,c_36416,c_36721]) ).
tff(c_36741,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != identity )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_36396]) ).
tff(c_39043,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36944,c_36823,c_36944,c_36823,c_36823,c_36741]) ).
tff(c_39045,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_39043]) ).
tff(c_36362,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36337,c_35952]) ).
tff(c_35928,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_35933,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35928,c_4]) ).
tff(c_36782,plain,
multiply(inverse(sk_c7),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_35933,c_36749]) ).
tff(c_36795,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36362,c_36782]) ).
tff(c_36797,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36795,c_35928]) ).
tff(c_36846,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36823,c_36797]) ).
tff(c_39047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39045,c_36846]) ).
tff(c_39049,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_39043]) ).
tff(c_39051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39049,c_36846]) ).
tff(c_39052,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_39057,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39052,c_4]) ).
tff(c_39053,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_39606,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_39053,c_24]) ).
tff(c_60,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_39107,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_35397,c_60]) ).
tff(c_39073,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_39053,c_26]) ).
tff(c_39077,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39073,c_4]) ).
tff(c_39125,plain,
! [X_366,Y_367,Z_368] : ( multiply(multiply(X_366,Y_367),Z_368) = multiply(X_366,multiply(Y_367,Z_368)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_39149,plain,
! [Z_368] : ( multiply(sk_c7,multiply(sk_c4,Z_368)) = multiply(identity,Z_368) ),
inference(superposition,[status(thm),theory(equality)],[c_39077,c_39125]) ).
tff(c_39237,plain,
! [Z_372] : ( multiply(sk_c7,multiply(sk_c4,Z_372)) = Z_372 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39149]) ).
tff(c_39249,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_39107,c_39237]) ).
tff(c_39155,plain,
! [Z_368] : ( multiply(sk_c6,multiply(sk_c7,Z_368)) = multiply(identity,Z_368) ),
inference(superposition,[status(thm),theory(equality)],[c_39057,c_39125]) ).
tff(c_39260,plain,
! [Z_373] : ( multiply(sk_c6,multiply(sk_c7,Z_373)) = Z_373 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39155]) ).
tff(c_39272,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_39249,c_39260]) ).
tff(c_39285,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39057,c_39272]) ).
tff(c_35396,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_39313,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39285,c_35396]) ).
tff(c_39337,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39313,c_4]) ).
tff(c_39400,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_39337,c_2]) ).
tff(c_39409,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39400,c_39313]) ).
tff(c_39281,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_39077,c_39260]) ).
tff(c_39099,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_39053,c_20]) ).
tff(c_39278,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_39099,c_39260]) ).
tff(c_39424,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_39281,c_39285,c_39278]) ).
tff(c_64,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_39114,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35397,c_64]) ).
tff(c_39305,plain,
multiply(sk_c5,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39285,c_39114]) ).
tff(c_39483,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39424,c_2,c_39400,c_39305]) ).
tff(c_39066,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_39308,plain,
multiply(identity,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39285,c_39066]) ).
tff(c_39319,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39308]) ).
tff(c_39327,plain,
inverse(sk_c4) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_39319,c_39073]) ).
tff(c_39486,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_39483,c_39327]) ).
tff(c_39487,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39409,c_39486]) ).
tff(c_39497,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39487,c_39319]) ).
tff(c_39315,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39285,c_110]) ).
tff(c_39344,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39315,c_4]) ).
tff(c_39170,plain,
! [X_2,Z_368] : ( multiply(inverse(X_2),multiply(X_2,Z_368)) = multiply(identity,Z_368) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39125]) ).
tff(c_39183,plain,
! [X_2,Z_368] : ( multiply(inverse(X_2),multiply(X_2,Z_368)) = Z_368 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39170]) ).
tff(c_39505,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_39344,c_39183]) ).
tff(c_39517,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39505]) ).
tff(c_39309,plain,
multiply(sk_c1,identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39285,c_39053]) ).
tff(c_39569,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39497,c_2,c_39517,c_39309]) ).
tff(c_39570,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_39575,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39570,c_4]) ).
tff(c_39631,plain,
! [X_378,Y_379,Z_380] : ( multiply(multiply(X_378,Y_379),Z_380) = multiply(X_378,multiply(Y_379,Z_380)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_39655,plain,
! [Z_380] : ( multiply(sk_c7,multiply(sk_c4,Z_380)) = multiply(identity,Z_380) ),
inference(superposition,[status(thm),theory(equality)],[c_39575,c_39631]) ).
tff(c_40106,plain,
! [Z_392] : ( multiply(sk_c7,multiply(sk_c4,Z_392)) = Z_392 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39655]) ).
tff(c_40118,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_39606,c_40106]) ).
tff(c_39658,plain,
! [Z_380] : ( multiply(sk_c6,multiply(sk_c7,Z_380)) = multiply(identity,Z_380) ),
inference(superposition,[status(thm),theory(equality)],[c_39057,c_39631]) ).
tff(c_40162,plain,
! [Z_394] : ( multiply(sk_c6,multiply(sk_c7,Z_394)) = Z_394 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39658]) ).
tff(c_40174,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40118,c_40162]) ).
tff(c_40187,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39057,c_40174]) ).
tff(c_40206,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40187,c_110]) ).
tff(c_40245,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40206,c_4]) ).
tff(c_40266,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_40245,c_2]) ).
tff(c_40200,plain,
multiply(sk_c1,identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_40187,c_39053]) ).
tff(c_40290,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40266,c_40200]) ).
tff(c_40275,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40266,c_40206]) ).
tff(c_40183,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_39575,c_40162]) ).
tff(c_40129,plain,
! [Z_393] : ( multiply(sk_c8,multiply(sk_c7,Z_393)) = multiply(sk_c6,Z_393) ),
inference(superposition,[status(thm),theory(equality)],[c_35405,c_39631]) ).
tff(c_40141,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_40118,c_40129]) ).
tff(c_40154,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35405,c_40141]) ).
tff(c_40189,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40187,c_40154]) ).
tff(c_40411,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_40183,c_40189]) ).
tff(c_39571,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_39614,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_39571,c_52]) ).
tff(c_35401,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35396,c_4]) ).
tff(c_39661,plain,
! [Z_380] : ( multiply(sk_c8,multiply(sk_c5,Z_380)) = multiply(identity,Z_380) ),
inference(superposition,[status(thm),theory(equality)],[c_35401,c_39631]) ).
tff(c_40082,plain,
! [Z_391] : ( multiply(sk_c8,multiply(sk_c5,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39661]) ).
tff(c_40094,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_39614,c_40082]) ).
tff(c_40192,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40187,c_40187,c_40094]) ).
tff(c_40432,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40411,c_40192]) ).
tff(c_40437,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_40432,c_39570]) ).
tff(c_40439,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40275,c_40437]) ).
tff(c_40441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40290,c_40439]) ).
tff(c_40442,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_40447,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40442,c_4]) ).
tff(c_40451,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_40524,plain,
! [X_398,Y_399,Z_400] : ( multiply(multiply(X_398,Y_399),Z_400) = multiply(X_398,multiply(Y_399,Z_400)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_40563,plain,
! [Z_400] : ( multiply(sk_c8,multiply(sk_c1,Z_400)) = multiply(identity,Z_400) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_40524]) ).
tff(c_40584,plain,
! [Z_401] : ( multiply(sk_c8,multiply(sk_c1,Z_401)) = Z_401 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40563]) ).
tff(c_40596,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40451,c_40584]) ).
tff(c_40443,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_40600,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40596,c_40443]) ).
tff(c_40499,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_35397,c_60]) ).
tff(c_40554,plain,
! [Z_400] : ( multiply(sk_c7,multiply(sk_c4,Z_400)) = multiply(identity,Z_400) ),
inference(superposition,[status(thm),theory(equality)],[c_40447,c_40524]) ).
tff(c_40669,plain,
! [Z_404] : ( multiply(sk_c7,multiply(sk_c4,Z_404)) = Z_404 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40554]) ).
tff(c_40681,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_40499,c_40669]) ).
tff(c_40569,plain,
! [X_2,Z_400] : ( multiply(inverse(X_2),multiply(X_2,Z_400)) = multiply(identity,Z_400) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40524]) ).
tff(c_40708,plain,
! [X_405,Z_406] : ( multiply(inverse(X_405),multiply(X_405,Z_406)) = Z_406 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40569]) ).
tff(c_40732,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40681,c_40708]) ).
tff(c_40810,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40732]) ).
tff(c_56,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_40505,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_35397,c_56]) ).
tff(c_40473,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35397,c_58]) ).
tff(c_40609,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( sk_c8 != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40596,c_40505,c_40473,c_80]) ).
tff(c_40610,plain,
sk_c8 != sk_c6,
inference(splitLeft,[status(thm)],[c_40609]) ).
tff(c_40826,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40810,c_40610]) ).
tff(c_40838,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40810,c_110]) ).
tff(c_40930,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40838,c_4]) ).
tff(c_40582,plain,
! [X_2,Z_400] : ( multiply(inverse(X_2),multiply(X_2,Z_400)) = Z_400 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40569]) ).
tff(c_40973,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_40930,c_40582]) ).
tff(c_40985,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40973]) ).
tff(c_40989,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40985,c_40838]) ).
tff(c_40747,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_40596,c_40708]) ).
tff(c_40814,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40747]) ).
tff(c_40852,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40814,c_40473]) ).
tff(c_40997,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40989,c_40852]) ).
tff(c_40999,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40826,c_40997]) ).
tff(c_41001,plain,
sk_c8 = sk_c6,
inference(splitRight,[status(thm)],[c_40609]) ).
tff(c_41088,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40600,c_41001]) ).
tff(c_41089,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_41094,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41089,c_4]) ).
tff(c_41708,plain,
! [X_423,Y_424,Z_425] : ( multiply(multiply(X_423,Y_424),Z_425) = multiply(X_423,multiply(Y_424,Z_425)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41732,plain,
! [Z_425] : ( multiply(sk_c6,multiply(sk_c7,Z_425)) = multiply(identity,Z_425) ),
inference(superposition,[status(thm),theory(equality)],[c_41094,c_41708]) ).
tff(c_41790,plain,
! [Z_428] : ( multiply(sk_c6,multiply(sk_c7,Z_428)) = Z_428 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41732]) ).
tff(c_41805,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_40447,c_41790]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_41131,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_40443,c_12]) ).
tff(c_41165,plain,
! [X_410,Y_411,Z_412] : ( multiply(multiply(X_410,Y_411),Z_412) = multiply(X_410,multiply(Y_411,Z_412)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41195,plain,
! [Z_412] : ( multiply(sk_c7,multiply(sk_c4,Z_412)) = multiply(identity,Z_412) ),
inference(superposition,[status(thm),theory(equality)],[c_40447,c_41165]) ).
tff(c_41273,plain,
! [Z_416] : ( multiply(sk_c7,multiply(sk_c4,Z_416)) = Z_416 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41195]) ).
tff(c_41285,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41131,c_41273]) ).
tff(c_41192,plain,
! [Z_412] : ( multiply(sk_c6,multiply(sk_c7,Z_412)) = multiply(identity,Z_412) ),
inference(superposition,[status(thm),theory(equality)],[c_41094,c_41165]) ).
tff(c_41296,plain,
! [Z_417] : ( multiply(sk_c6,multiply(sk_c7,Z_417)) = Z_417 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41192]) ).
tff(c_41308,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41285,c_41296]) ).
tff(c_41321,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41094,c_41308]) ).
tff(c_41349,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41321,c_35396]) ).
tff(c_41317,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_40447,c_41296]) ).
tff(c_41090,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_41150,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_41090,c_20]) ).
tff(c_41314,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_41150,c_41296]) ).
tff(c_41507,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41321,c_41314]) ).
tff(c_41520,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_41317,c_41507]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_41143,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_41090,c_28]) ).
tff(c_41342,plain,
multiply(sk_c5,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41321,c_41143]) ).
tff(c_41620,plain,
multiply(sk_c5,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_41520,c_41342]) ).
tff(c_41207,plain,
! [X_2,Z_412] : ( multiply(inverse(X_2),multiply(X_2,Z_412)) = multiply(identity,Z_412) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41165]) ).
tff(c_41220,plain,
! [X_2,Z_412] : ( multiply(inverse(X_2),multiply(X_2,Z_412)) = Z_412 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41207]) ).
tff(c_41624,plain,
multiply(inverse(sk_c5),sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41620,c_41220]) ).
tff(c_41630,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41349,c_41624]) ).
tff(c_41138,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_41343,plain,
multiply(identity,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41321,c_41138]) ).
tff(c_41355,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41343]) ).
tff(c_41347,plain,
multiply(identity,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41321,c_40443]) ).
tff(c_41356,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41347]) ).
tff(c_41361,plain,
sk_c6 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_41355,c_41356]) ).
tff(c_41534,plain,
sk_c4 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_41520,c_41361]) ).
tff(c_41637,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_41630,c_41534]) ).
tff(c_41351,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41321,c_110]) ).
tff(c_41416,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41351,c_4]) ).
tff(c_41443,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_41416,c_41220]) ).
tff(c_41455,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41443]) ).
tff(c_41459,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41455,c_41351]) ).
tff(c_41367,plain,
inverse(sk_c4) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_41355,c_40442]) ).
tff(c_41640,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_41630,c_41367]) ).
tff(c_41642,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41459,c_41640]) ).
tff(c_41680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41637,c_41642]) ).
tff(c_41681,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_41802,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_41681,c_41790]) ).
tff(c_41747,plain,
! [X_2,Z_425] : ( multiply(inverse(X_2),multiply(X_2,Z_425)) = multiply(identity,Z_425) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41708]) ).
tff(c_41824,plain,
! [X_429,Z_430] : ( multiply(inverse(X_429),multiply(X_429,Z_430)) = Z_430 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41747]) ).
tff(c_41845,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41802,c_41824]) ).
tff(c_41906,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41845]) ).
tff(c_41914,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41906,c_41802]) ).
tff(c_41930,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_41805,c_41914]) ).
tff(c_41687,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_41090,c_28]) ).
tff(c_41860,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41687,c_41824]) ).
tff(c_41907,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35396,c_41860]) ).
tff(c_42053,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41930,c_41906,c_2,c_41906,c_41907]) ).
tff(c_41923,plain,
multiply(identity,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41906,c_40443]) ).
tff(c_41932,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41923]) ).
tff(c_41945,plain,
sk_c7 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_41930,c_41932]) ).
tff(c_42056,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_42053,c_41945]) ).
tff(c_41929,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41906,c_97]) ).
tff(c_41998,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41929,c_4]) ).
tff(c_41760,plain,
! [X_2,Z_425] : ( multiply(inverse(X_2),multiply(X_2,Z_425)) = Z_425 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41747]) ).
tff(c_42068,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_41998,c_41760]) ).
tff(c_42080,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42068]) ).
tff(c_42088,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42080,c_41929]) ).
tff(c_42059,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_42053,c_40442]) ).
tff(c_42136,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42088,c_42059]) ).
tff(c_42138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42056,c_42136]) ).
tff(c_42140,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_38,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_42165,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_42140,c_38]) ).
tff(c_42169,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42165,c_4]) ).
tff(c_42139,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_42144,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42139,c_4]) ).
tff(c_42249,plain,
! [Z_436] : ( multiply(sk_c6,multiply(sk_c7,Z_436)) = multiply(identity,Z_436) ),
inference(superposition,[status(thm),theory(equality)],[c_42144,c_42219]) ).
tff(c_42695,plain,
! [Z_447] : ( multiply(sk_c6,multiply(sk_c7,Z_447)) = Z_447 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42249]) ).
tff(c_42716,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_42169,c_42695]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_42200,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_42140,c_36]) ).
tff(c_42243,plain,
! [Z_436] : ( multiply(sk_c7,multiply(sk_c4,Z_436)) = multiply(identity,Z_436) ),
inference(superposition,[status(thm),theory(equality)],[c_42169,c_42219]) ).
tff(c_42269,plain,
! [Z_437] : ( multiply(sk_c7,multiply(sk_c4,Z_437)) = Z_437 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42243]) ).
tff(c_42281,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_42200,c_42269]) ).
tff(c_42707,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_42281,c_42695]) ).
tff(c_42720,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42144,c_42707]) ).
tff(c_40,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_42195,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_42140,c_40]) ).
tff(c_42,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_42153,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_42140,c_42]) ).
tff(c_42157,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42153,c_4]) ).
tff(c_42246,plain,
! [Z_436] : ( multiply(sk_c8,multiply(sk_c5,Z_436)) = multiply(identity,Z_436) ),
inference(superposition,[status(thm),theory(equality)],[c_42157,c_42219]) ).
tff(c_42295,plain,
! [Z_438] : ( multiply(sk_c8,multiply(sk_c5,Z_438)) = Z_438 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42246]) ).
tff(c_42307,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_42195,c_42295]) ).
tff(c_42357,plain,
! [X_441,Z_442] : ( multiply(inverse(X_441),multiply(X_441,Z_442)) = Z_442 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42255]) ).
tff(c_42381,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_42307,c_42357]) ).
tff(c_42436,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42381]) ).
tff(c_42331,plain,
! [Z_440] : ( multiply(sk_c6,multiply(sk_c7,Z_440)) = Z_440 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42249]) ).
tff(c_42343,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_42281,c_42331]) ).
tff(c_42356,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42144,c_42343]) ).
tff(c_32,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_42189,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_42140,c_32]) ).
tff(c_42293,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42189,c_42139,c_80]) ).
tff(c_42294,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_42293]) ).
tff(c_42450,plain,
multiply(identity,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42356,c_42294]) ).
tff(c_42460,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42450]) ).
tff(c_42509,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_42436,c_42460]) ).
tff(c_42455,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42356,c_42157]) ).
tff(c_42597,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_42455,c_42267]) ).
tff(c_42609,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42597]) ).
tff(c_42456,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42356,c_42153]) ).
tff(c_42614,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42609,c_42456]) ).
tff(c_42405,plain,
multiply(inverse(sk_c7),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_42169,c_42357]) ).
tff(c_42442,plain,
multiply(sk_c6,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_42139,c_42405]) ).
tff(c_42558,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42436,c_42442]) ).
tff(c_42561,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_42558,c_42165]) ).
tff(c_42642,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42614,c_42561]) ).
tff(c_42644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42509,c_42642]) ).
tff(c_42646,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_42293]) ).
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_42654,plain,
! [Z_446] : ( multiply(sk_c8,multiply(sk_c7,Z_446)) = multiply(sk_c6,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_42646,c_6]) ).
tff(c_42666,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_42281,c_42654]) ).
tff(c_42679,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42646,c_42666]) ).
tff(c_42723,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42720,c_42679]) ).
tff(c_43518,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_42716,c_42723]) ).
tff(c_43522,plain,
inverse(sk_c7) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_43518,c_42139]) ).
tff(c_43533,plain,
multiply(sk_c4,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43522,c_4]) ).
tff(c_42730,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42720,c_42157]) ).
tff(c_43546,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_42730,c_2]) ).
tff(c_42237,plain,
! [Z_436] : ( multiply(sk_c5,multiply(sk_c8,Z_436)) = multiply(sk_c6,Z_436) ),
inference(superposition,[status(thm),theory(equality)],[c_42195,c_42219]) ).
tff(c_43602,plain,
! [Z_436] : ( multiply(sk_c4,Z_436) = Z_436 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43546,c_43518,c_2,c_42720,c_42237]) ).
tff(c_43627,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_43533,c_43602]) ).
tff(c_42810,plain,
! [X_448,Z_449] : ( multiply(inverse(X_448),multiply(X_448,Z_449)) = Z_449 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42255]) ).
tff(c_43055,plain,
! [X_452,Z_453] : ( multiply(inverse(inverse(X_452)),Z_453) = multiply(X_452,Z_453) ),
inference(superposition,[status(thm),theory(equality)],[c_42267,c_42810]) ).
tff(c_42849,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_42810]) ).
tff(c_43062,plain,
! [X_452] : ( multiply(X_452,identity) = X_452 ),
inference(superposition,[status(thm),theory(equality)],[c_43055,c_42849]) ).
tff(c_42897,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_42730,c_42267]) ).
tff(c_42909,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42897]) ).
tff(c_42794,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_42716,c_42723]) ).
tff(c_42728,plain,
multiply(sk_c5,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42720,c_42195]) ).
tff(c_42981,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42909,c_42794,c_42728]) ).
tff(c_42985,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42981,c_42794]) ).
tff(c_42645,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_42293]) ).
tff(c_42747,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c7 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != identity )
| ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42720,c_42720,c_42720,c_42720,c_2,c_42720,c_42720,c_42720,c_42720,c_42645]) ).
tff(c_42748,plain,
! [X2_9] :
( ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_42747]) ).
tff(c_43440,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_43062,c_42985,c_42748]) ).
tff(c_42734,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42720,c_97]) ).
tff(c_42752,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42734,c_4]) ).
tff(c_42770,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_42752,c_2]) ).
tff(c_42779,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42770,c_42734]) ).
tff(c_43442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43440,c_42779]) ).
tff(c_43443,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != identity )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 )
| ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_42747]) ).
tff(c_65078,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43721,c_43627,c_43721,c_43627,c_43721,c_43627,c_43627,c_43443]) ).
tff(c_65080,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_65078]) ).
tff(c_42731,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42720,c_42153]) ).
tff(c_43556,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43546,c_42731]) ).
tff(c_65082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65080,c_43556]) ).
tff(c_65083,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_65078]) ).
tff(c_65085,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_65083]) ).
tff(c_65087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65085,c_43556]) ).
tff(c_65090,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_65083]) ).
tff(c_65092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65090,c_43556]) ).
tff(c_65093,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_65098,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65093,c_4]) ).
tff(c_65094,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_70,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_65127,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_65094,c_70]) ).
tff(c_65131,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65127,c_4]) ).
tff(c_65213,plain,
! [Z_630] : ( multiply(sk_c6,multiply(sk_c7,Z_630)) = multiply(identity,Z_630) ),
inference(superposition,[status(thm),theory(equality)],[c_65131,c_65186]) ).
tff(c_65236,plain,
! [Z_631] : ( multiply(sk_c6,multiply(sk_c7,Z_631)) = Z_631 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65213]) ).
tff(c_65251,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_65098,c_65236]) ).
tff(c_72,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_65164,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_65094,c_72]) ).
tff(c_65219,plain,
! [Z_630] : ( multiply(sk_c7,multiply(sk_c4,Z_630)) = multiply(identity,Z_630) ),
inference(superposition,[status(thm),theory(equality)],[c_65098,c_65186]) ).
tff(c_65836,plain,
! [Z_644] : ( multiply(sk_c7,multiply(sk_c4,Z_644)) = Z_644 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65219]) ).
tff(c_65860,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_65164,c_65836]) ).
tff(c_65231,plain,
! [Z_630] : ( multiply(sk_c6,multiply(sk_c7,Z_630)) = Z_630 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65213]) ).
tff(c_65918,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_65860,c_65231]) ).
tff(c_65925,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65131,c_65918]) ).
tff(c_68,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_65146,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_65094,c_68]) ).
tff(c_65248,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_65146,c_65236]) ).
tff(c_65932,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_65925,c_65248]) ).
tff(c_65945,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_65251,c_65932]) ).
tff(c_65964,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_65945,c_65251]) ).
tff(c_65292,plain,
! [Z_633] : ( multiply(sk_c7,multiply(sk_c4,Z_633)) = Z_633 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65219]) ).
tff(c_65307,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_65164,c_65292]) ).
tff(c_65314,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_65307,c_65231]) ).
tff(c_65320,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65131,c_65314]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_65106,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_65094,c_78]) ).
tff(c_65332,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65320,c_65106]) ).
tff(c_65324,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_65320,c_65248]) ).
tff(c_65335,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_65251,c_65324]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_65158,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_65094,c_76]) ).
tff(c_65327,plain,
multiply(sk_c5,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_65320,c_65158]) ).
tff(c_65445,plain,
multiply(sk_c5,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_65335,c_65327]) ).
tff(c_65449,plain,
multiply(inverse(sk_c5),sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65445,c_65234]) ).
tff(c_65455,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65332,c_65449]) ).
tff(c_65462,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65455,c_65335]) ).
tff(c_65207,plain,
! [Z_630] : ( multiply(sk_c7,multiply(sk_c6,Z_630)) = multiply(sk_c8,Z_630) ),
inference(superposition,[status(thm),theory(equality)],[c_65146,c_65186]) ).
tff(c_65475,plain,
! [Z_630] : ( multiply(sk_c7,Z_630) = Z_630 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65462,c_2,c_65320,c_65207]) ).
tff(c_65322,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_65320,c_65307]) ).
tff(c_65476,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65475,c_65322]) ).
tff(c_65256,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65146,c_65127,c_80]) ).
tff(c_65257,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_65256]) ).
tff(c_65325,plain,
multiply(identity,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_65320,c_65257]) ).
tff(c_65336,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65325]) ).
tff(c_65349,plain,
sk_c7 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_65335,c_65336]) ).
tff(c_65461,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_65455,c_65349]) ).
tff(c_65500,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_65476,c_65461]) ).
tff(c_65502,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_65256]) ).
tff(c_65864,plain,
! [Z_645] : ( multiply(sk_c7,multiply(sk_c6,Z_645)) = multiply(sk_c8,Z_645) ),
inference(superposition,[status(thm),theory(equality)],[c_65146,c_65186]) ).
tff(c_65891,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c7,identity),
inference(superposition,[status(thm),theory(equality)],[c_65131,c_65864]) ).
tff(c_65897,plain,
multiply(sk_c7,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_65502,c_65891]) ).
tff(c_65927,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_65925,c_65860]) ).
tff(c_65943,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_65897,c_65927]) ).
tff(c_65963,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_65945,c_65943]) ).
tff(c_65110,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65106,c_4]) ).
tff(c_65216,plain,
! [Z_630] : ( multiply(sk_c8,multiply(sk_c5,Z_630)) = multiply(identity,Z_630) ),
inference(superposition,[status(thm),theory(equality)],[c_65110,c_65186]) ).
tff(c_65544,plain,
! [Z_638] : ( multiply(sk_c8,multiply(sk_c5,Z_638)) = Z_638 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65216]) ).
tff(c_65556,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_65158,c_65544]) ).
tff(c_65510,plain,
! [Z_637] : ( multiply(sk_c4,multiply(sk_c7,Z_637)) = multiply(sk_c8,Z_637) ),
inference(superposition,[status(thm),theory(equality)],[c_65164,c_65186]) ).
tff(c_65522,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c4,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_65146,c_65510]) ).
tff(c_65567,plain,
multiply(sk_c4,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_65556,c_65522]) ).
tff(c_65854,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_65567,c_65836]) ).
tff(c_66762,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65964,c_65963,c_65925,c_65925,c_65854]) ).
tff(c_66766,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66762,c_65963]) ).
tff(c_66008,plain,
! [X_646,Z_647] : ( multiply(inverse(X_646),multiply(X_646,Z_647)) = Z_647 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65222]) ).
tff(c_66217,plain,
! [X_650,Z_651] : ( multiply(inverse(inverse(X_650)),Z_651) = multiply(X_650,Z_651) ),
inference(superposition,[status(thm),theory(equality)],[c_65234,c_66008]) ).
tff(c_66041,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_66008]) ).
tff(c_66224,plain,
! [X_650] : ( multiply(X_650,identity) = X_650 ),
inference(superposition,[status(thm),theory(equality)],[c_66217,c_66041]) ).
tff(c_65941,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65925,c_65106]) ).
tff(c_65995,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65941,c_4]) ).
tff(c_66066,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_65995,c_65234]) ).
tff(c_66078,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_66066]) ).
tff(c_65204,plain,
! [Z_630] : ( multiply(sk_c5,multiply(sk_c8,Z_630)) = multiply(sk_c6,Z_630) ),
inference(superposition,[status(thm),theory(equality)],[c_65158,c_65186]) ).
tff(c_66103,plain,
! [Z_630] : ( multiply(sk_c4,Z_630) = Z_630 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66078,c_65945,c_2,c_65925,c_65204]) ).
tff(c_66104,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66103,c_65964]) ).
tff(c_66131,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66104,c_65963]) ).
tff(c_65576,plain,
! [Z_639] : ( multiply(sk_c7,multiply(sk_c4,Z_639)) = Z_639 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65219]) ).
tff(c_65600,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_65164,c_65576]) ).
tff(c_65610,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_65600,c_65231]) ).
tff(c_65617,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65131,c_65610]) ).
tff(c_65623,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_65617,c_65248]) ).
tff(c_65634,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_65251,c_65623]) ).
tff(c_65670,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_65634,c_65251]) ).
tff(c_65501,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_65256]) ).
tff(c_65575,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_65501]) ).
tff(c_65700,plain,
! [X2_9] :
( ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != sk_c4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65634,c_65617,c_65617,c_65575]) ).
tff(c_65728,plain,
inverse(sk_c4) != identity,
inference(superposition,[status(thm),theory(equality)],[c_65670,c_65700]) ).
tff(c_65738,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_65093,c_65728]) ).
tff(c_65620,plain,
multiply(sk_c4,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65617,c_65617,c_65567]) ).
tff(c_65744,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65620,c_65670]) ).
tff(c_65626,plain,
multiply(sk_c4,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65617,c_65164]) ).
tff(c_65833,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65744,c_65626]) ).
tff(c_65834,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65738,c_65833]) ).
tff(c_65835,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_65501]) ).
tff(c_65969,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != identity )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 )
| ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65925,c_65925,c_65925,c_2,c_65925,c_65925,c_65925,c_65835]) ).
tff(c_65970,plain,
! [X3_7] :
( ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_65969]) ).
tff(c_66607,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_66224,c_66131,c_65970]) ).
tff(c_66082,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66078,c_65941]) ).
tff(c_66609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66607,c_66082]) ).
tff(c_66610,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != identity ) ),
inference(splitRight,[status(thm)],[c_65969]) ).
tff(c_75971,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66889,c_66766,c_66766,c_66889,c_66766,c_66610]) ).
tff(c_75973,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_75971]) ).
tff(c_66633,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65941,c_4]) ).
tff(c_66724,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_66633,c_65234]) ).
tff(c_66736,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_66724]) ).
tff(c_66740,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66736,c_65941]) ).
tff(c_75975,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75973,c_66740]) ).
tff(c_75977,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_75971]) ).
tff(c_75979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75977,c_66740]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP283-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 21:50:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 18.88/8.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.21/8.20
% 19.21/8.20 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.43/8.28
% 19.43/8.28 Inference rules
% 19.43/8.28 ----------------------
% 19.43/8.28 #Ref : 0
% 19.43/8.28 #Sup : 18508
% 19.43/8.28 #Fact : 0
% 19.43/8.28 #Define : 0
% 19.43/8.28 #Split : 47
% 19.43/8.28 #Chain : 0
% 19.43/8.28 #Close : 0
% 19.43/8.28
% 19.43/8.28 Ordering : KBO
% 19.43/8.28
% 19.43/8.28 Simplification rules
% 19.43/8.28 ----------------------
% 19.43/8.28 #Subsume : 19
% 19.43/8.28 #Demod : 53969
% 19.43/8.28 #Tautology : 15008
% 19.43/8.28 #SimpNegUnit : 159
% 19.43/8.28 #BackRed : 787
% 19.43/8.28
% 19.43/8.28 #Partial instantiations: 0
% 19.43/8.28 #Strategies tried : 1
% 19.43/8.28
% 19.43/8.28 Timing (in seconds)
% 19.43/8.28 ----------------------
% 19.64/8.28 Preprocessing : 0.54
% 19.64/8.28 Parsing : 0.20
% 19.64/8.28 CNF conversion : 0.03
% 19.64/8.28 Main loop : 6.55
% 19.64/8.28 Inferencing : 1.61
% 19.64/8.28 Reduction : 3.95
% 19.64/8.28 Demodulation : 3.68
% 19.64/8.28 BG Simplification : 0.15
% 19.64/8.28 Subsumption : 0.55
% 19.64/8.28 Abstraction : 0.38
% 19.64/8.28 MUC search : 0.00
% 19.64/8.28 Cooper : 0.00
% 19.64/8.28 Total : 7.27
% 19.64/8.28 Index Insertion : 0.00
% 19.64/8.28 Index Deletion : 0.00
% 19.64/8.28 Index Matching : 0.00
% 19.64/8.28 BG Taut test : 0.00
%------------------------------------------------------------------------------