TSTP Solution File: GRP261-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP261-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n027.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 10:40:41 EDT 2023
% Result : Unsatisfiable 15.87s 6.42s
% Output : CNFRefutation 15.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 43
% Syntax : Number of formulae : 532 ( 415 unt; 11 typ; 0 def)
% Number of atoms : 771 ( 739 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 545 ( 295 ~; 250 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 285 (; 285 !; 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_77,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(X3,sk_c8) != sk_c7 )
| ( inverse(X3) != sk_c8 )
| ( multiply(X4,sk_c7) != sk_c6 )
| ( inverse(X4) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X5) != sk_c6 )
| ( multiply(X5,sk_c8) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
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_29151,plain,
! [X_346,Y_347,Z_348] : ( multiply(multiply(X_346,Y_347),Z_348) = multiply(X_346,multiply(Y_347,Z_348)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29187,plain,
! [X_2,Z_348] : ( multiply(inverse(X_2),multiply(X_2,Z_348)) = multiply(identity,Z_348) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29151]) ).
tff(c_29199,plain,
! [X_2,Z_348] : ( multiply(inverse(X_2),multiply(X_2,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29187]) ).
tff(c_29773,plain,
! [X_361,Z_362] : ( multiply(inverse(X_361),multiply(X_361,Z_362)) = Z_362 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29187]) ).
tff(c_30818,plain,
! [X_378,Z_379] : ( multiply(inverse(inverse(X_378)),Z_379) = multiply(X_378,Z_379) ),
inference(superposition,[status(thm),theory(equality)],[c_29199,c_29773]) ).
tff(c_29851,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29773]) ).
tff(c_30825,plain,
! [X_378] : ( multiply(X_378,identity) = X_378 ),
inference(superposition,[status(thm),theory(equality)],[c_30818,c_29851]) ).
tff(c_27046,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_27082,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_27046]) ).
tff(c_27094,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_27082]) ).
tff(c_27677,plain,
! [X_322,Z_323] : ( multiply(inverse(X_322),multiply(X_322,Z_323)) = Z_323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27082]) ).
tff(c_28789,plain,
! [X_339,Z_340] : ( multiply(inverse(inverse(X_339)),Z_340) = multiply(X_339,Z_340) ),
inference(superposition,[status(thm),theory(equality)],[c_27094,c_27677]) ).
tff(c_27764,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27677]) ).
tff(c_28796,plain,
! [X_339] : ( multiply(X_339,identity) = X_339 ),
inference(superposition,[status(thm),theory(equality)],[c_28789,c_27764]) ).
tff(c_28214,plain,
! [X_328,Z_329] : ( multiply(inverse(inverse(X_328)),Z_329) = multiply(X_328,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_27094,c_27677]) ).
tff(c_28221,plain,
! [X_328] : ( multiply(X_328,identity) = X_328 ),
inference(superposition,[status(thm),theory(equality)],[c_28214,c_27764]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_113,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_22,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_102,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_22632,plain,
! [X_195,Y_196,Z_197] : ( multiply(multiply(X_195,Y_196),Z_197) = multiply(X_195,multiply(Y_196,Z_197)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_22671,plain,
! [Z_197] : ( multiply(sk_c8,multiply(sk_c1,Z_197)) = multiply(identity,Z_197) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_22632]) ).
tff(c_22692,plain,
! [Z_198] : ( multiply(sk_c8,multiply(sk_c1,Z_198)) = Z_198 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22671]) ).
tff(c_22704,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_113,c_22692]) ).
tff(c_22677,plain,
! [X_2,Z_197] : ( multiply(inverse(X_2),multiply(X_2,Z_197)) = multiply(identity,Z_197) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22632]) ).
tff(c_22772,plain,
! [X_202,Z_203] : ( multiply(inverse(X_202),multiply(X_202,Z_203)) = Z_203 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22677]) ).
tff(c_22802,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22704,c_22772]) ).
tff(c_22864,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22802]) ).
tff(c_40,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_118,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_52,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_89,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_22674,plain,
! [Z_197] : ( multiply(sk_c7,multiply(sk_c2,Z_197)) = multiply(identity,Z_197) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_22632]) ).
tff(c_22715,plain,
! [Z_199] : ( multiply(sk_c7,multiply(sk_c2,Z_199)) = Z_199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22674]) ).
tff(c_22727,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_118,c_22715]) ).
tff(c_22796,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22727,c_22772]) ).
tff(c_22863,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22796]) ).
tff(c_149,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_179,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_149]) ).
tff(c_237,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_189,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_179]) ).
tff(c_1116,plain,
! [X_33,Z_34] : ( multiply(inverse(inverse(X_33)),Z_34) = multiply(X_33,Z_34) ),
inference(superposition,[status(thm),theory(equality)],[c_237,c_189]) ).
tff(c_291,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_237]) ).
tff(c_1123,plain,
! [X_33] : ( multiply(X_33,identity) = X_33 ),
inference(superposition,[status(thm),theory(equality)],[c_1116,c_291]) ).
tff(c_176,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_149]) ).
tff(c_214,plain,
! [Z_17] : ( multiply(sk_c7,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_176]) ).
tff(c_226,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_118,c_214]) ).
tff(c_255,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_226,c_237]) ).
tff(c_298,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_255]) ).
tff(c_173,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_149]) ).
tff(c_191,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_203,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_113,c_191]) ).
tff(c_261,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_203,c_237]) ).
tff(c_299,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_261]) ).
tff(c_62,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_123,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_164,plain,
! [Z_15] : ( multiply(sk_c6,multiply(sk_c8,Z_15)) = multiply(sk_c7,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_123,c_149]) ).
tff(c_1012,plain,
! [Z_15] : ( multiply(sk_c8,Z_15) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_298,c_299,c_164]) ).
tff(c_417,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_299,c_203]) ).
tff(c_1013,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1012,c_417]) ).
tff(c_699,plain,
! [X_24,Z_25] : ( multiply(inverse(inverse(X_24)),Z_25) = multiply(X_24,Z_25) ),
inference(superposition,[status(thm),theory(equality)],[c_189,c_237]) ).
tff(c_710,plain,
! [X_24] : ( multiply(X_24,identity) = X_24 ),
inference(superposition,[status(thm),theory(equality)],[c_699,c_291]) ).
tff(c_410,plain,
multiply(identity,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_123]) ).
tff(c_557,plain,
multiply(identity,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_299,c_410]) ).
tff(c_561,plain,
multiply(inverse(identity),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_557,c_189]) ).
tff(c_573,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_561]) ).
tff(c_316,plain,
multiply(sk_c1,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_299,c_113]) ).
tff(c_68,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_305,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123,c_68]) ).
tff(c_306,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_305]) ).
tff(c_373,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_299,c_306]) ).
tff(c_392,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_316,c_373]) ).
tff(c_407,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_392]) ).
tff(c_408,plain,
! [X4_10,X1_8,X2_9,X5_6] :
( ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_305]) ).
tff(c_512,plain,
! [X4_10,X1_8,X2_9,X5_6] :
( ( inverse(X4_10) != identity )
| ( multiply(X4_10,identity) != identity )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity )
| ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != identity )
| ( multiply(X5_6,sk_c8) != identity )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_298,c_298,c_299,c_298,c_299,c_299,c_299,c_298,c_299,c_408]) ).
tff(c_513,plain,
! [X5_6] :
( ( multiply(X5_6,sk_c8) != identity )
| ( inverse(X5_6) != identity ) ),
inference(splitLeft,[status(thm)],[c_512]) ).
tff(c_980,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_710,c_573,c_513]) ).
tff(c_419,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_299,c_89]) ).
tff(c_517,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_419,c_189]) ).
tff(c_529,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_517]) ).
tff(c_420,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_299,c_85]) ).
tff(c_534,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_529,c_420]) ).
tff(c_982,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_980,c_534]) ).
tff(c_983,plain,
! [X2_9,X1_8,X4_10] :
( ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != identity )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity )
| ( inverse(X4_10) != identity )
| ( multiply(X4_10,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_512]) ).
tff(c_22549,plain,
! [X2_9,X1_8,X4_10] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1123,c_1123,c_1013,c_1013,c_1123,c_983]) ).
tff(c_22551,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_22549]) ).
tff(c_1014,plain,
! [Z_31] : ( multiply(sk_c8,Z_31) = Z_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_298,c_299,c_164]) ).
tff(c_1038,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_102,c_1014]) ).
tff(c_1046,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1013,c_98]) ).
tff(c_1059,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1038,c_1046]) ).
tff(c_22553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22551,c_1059]) ).
tff(c_22554,plain,
! [X1_8,X2_9] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(splitRight,[status(thm)],[c_22549]) ).
tff(c_22556,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_22554]) ).
tff(c_22558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22556,c_1059]) ).
tff(c_22561,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_22554]) ).
tff(c_22563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22561,c_1059]) ).
tff(c_22565,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_22879,plain,
multiply(identity,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22863,c_22565]) ).
tff(c_22881,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22879]) ).
tff(c_22899,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_22864,c_22881]) ).
tff(c_64,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_22584,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_22565,c_64]) ).
tff(c_66,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_22625,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_22565,c_66]) ).
tff(c_22811,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_22625,c_22772]) ).
tff(c_22865,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22584,c_22811]) ).
tff(c_22966,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22863,c_2,c_22863,c_22865]) ).
tff(c_22967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22899,c_22966]) ).
tff(c_22969,plain,
multiply(sk_c2,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_24196,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_22969,c_36]) ).
tff(c_22968,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_42,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_23036,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_22969,c_42]) ).
tff(c_23041,plain,
! [X_205,Y_206,Z_207] : ( multiply(multiply(X_205,Y_206),Z_207) = multiply(X_205,multiply(Y_206,Z_207)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_23080,plain,
! [Z_207] : ( multiply(sk_c8,multiply(sk_c1,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_23041]) ).
tff(c_23101,plain,
! [Z_208] : ( multiply(sk_c8,multiply(sk_c1,Z_208)) = Z_208 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23080]) ).
tff(c_23113,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_113,c_23101]) ).
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_23448,plain,
! [Z_221] : ( multiply(sk_c1,multiply(sk_c8,Z_221)) = multiply(sk_c7,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_23041]) ).
tff(c_23475,plain,
multiply(sk_c7,sk_c1) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_102,c_23448]) ).
tff(c_58,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_22981,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_23327,plain,
! [Z_218] : ( multiply(sk_c6,multiply(sk_c8,Z_218)) = multiply(sk_c7,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_22981,c_23041]) ).
tff(c_23351,plain,
multiply(sk_c7,sk_c1) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_102,c_23327]) ).
tff(c_23480,plain,
multiply(sk_c6,identity) = multiply(sk_c1,identity),
inference(demodulation,[status(thm),theory(equality)],[c_23475,c_23351]) ).
tff(c_23501,plain,
! [Z_5] : ( multiply(multiply(sk_c1,identity),Z_5) = multiply(sk_c6,multiply(identity,Z_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_23480,c_6]) ).
tff(c_23504,plain,
! [Z_5] : ( multiply(sk_c6,Z_5) = multiply(sk_c1,Z_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_6,c_23501]) ).
tff(c_23056,plain,
! [Z_207] : ( multiply(sk_c5,multiply(sk_c8,Z_207)) = multiply(sk_c6,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_23036,c_23041]) ).
tff(c_23745,plain,
! [Z_225] : ( multiply(sk_c5,multiply(sk_c8,Z_225)) = multiply(sk_c1,Z_225) ),
inference(demodulation,[status(thm),theory(equality)],[c_23504,c_23056]) ).
tff(c_23763,plain,
multiply(sk_c5,sk_c8) = multiply(sk_c1,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_23113,c_23745]) ).
tff(c_23776,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23036,c_23763]) ).
tff(c_23021,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_22969,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_23006,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_22969,c_38]) ).
tff(c_23010,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23006,c_4]) ).
tff(c_23065,plain,
! [Z_207] : ( multiply(sk_c7,multiply(sk_c4,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_23010,c_23041]) ).
tff(c_23378,plain,
! [Z_219] : ( multiply(sk_c7,multiply(sk_c4,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23065]) ).
tff(c_23390,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23021,c_23378]) ).
tff(c_23097,plain,
! [Z_207] : ( multiply(sk_c8,multiply(sk_c1,Z_207)) = Z_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23080]) ).
tff(c_23781,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23776,c_23097]) ).
tff(c_23071,plain,
! [Z_207] : ( multiply(sk_c6,multiply(sk_c8,Z_207)) = multiply(sk_c7,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_22981,c_23041]) ).
tff(c_23837,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_23781,c_23071]) ).
tff(c_23845,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23776,c_23390,c_23504,c_23837]) ).
tff(c_23863,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23845,c_23006]) ).
tff(c_23861,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23845,c_23021]) ).
tff(c_34,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_22990,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_22969,c_34]) ).
tff(c_32,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_23031,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_22969,c_32]) ).
tff(c_23125,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22981,c_68]) ).
tff(c_23250,plain,
! [X3_214] :
( ( inverse(X3_214) != sk_c8 )
| ( multiply(X3_214,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_23125]) ).
tff(c_23260,plain,
inverse(sk_c3) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_23031,c_23250]) ).
tff(c_23279,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22990,c_23260]) ).
tff(c_23280,plain,
! [X4_10,X1_8,X2_9,X5_6] :
( ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_23125]) ).
tff(c_23410,plain,
! [X5_220] :
( ( multiply(X5_220,sk_c8) != sk_c6 )
| ( inverse(X5_220) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_23280]) ).
tff(c_23417,plain,
inverse(sk_c5) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23036,c_23410]) ).
tff(c_23438,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22968,c_23417]) ).
tff(c_23439,plain,
! [X2_9,X1_8,X4_10] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_23280]) ).
tff(c_23683,plain,
! [X4_224] :
( ( inverse(X4_224) != sk_c7 )
| ( multiply(X4_224,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_23439]) ).
tff(c_23703,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23021,c_23683]) ).
tff(c_23719,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23006,c_23703]) ).
tff(c_23720,plain,
! [X1_8,X2_9] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_23439]) ).
tff(c_23848,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_23720]) ).
tff(c_23946,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23845,c_23845,c_23848]) ).
tff(c_24026,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23861,c_23946]) ).
tff(c_24035,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23863,c_24026]) ).
tff(c_24036,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_23720]) ).
tff(c_24065,plain,
! [X1_227] :
( ( inverse(X1_227) != sk_c8 )
| ( multiply(X1_227,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23845,c_24036]) ).
tff(c_24079,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_23036,c_24065]) ).
tff(c_24090,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_22968,c_24079]) ).
tff(c_23508,plain,
! [Z_222] : ( multiply(sk_c6,Z_222) = multiply(sk_c1,Z_222) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_6,c_23501]) ).
tff(c_22973,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22968,c_4]) ).
tff(c_23074,plain,
! [Z_207] : ( multiply(sk_c6,multiply(sk_c5,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_22973,c_23041]) ).
tff(c_23311,plain,
! [Z_217] : ( multiply(sk_c6,multiply(sk_c5,Z_217)) = Z_217 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23074]) ).
tff(c_23323,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_23036,c_23311]) ).
tff(c_23514,plain,
multiply(sk_c1,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_23508,c_23323]) ).
tff(c_23724,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23514,c_23097]) ).
tff(c_23744,plain,
! [Z_207] : ( multiply(sk_c5,multiply(sk_c8,Z_207)) = multiply(sk_c1,Z_207) ),
inference(demodulation,[status(thm),theory(equality)],[c_23504,c_23056]) ).
tff(c_23811,plain,
multiply(sk_c5,sk_c6) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_23724,c_23744]) ).
tff(c_23823,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_113,c_23811]) ).
tff(c_24145,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23845,c_23823]) ).
tff(c_23831,plain,
multiply(sk_c5,sk_c7) = multiply(sk_c1,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_23781,c_23744]) ).
tff(c_23843,plain,
multiply(sk_c5,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_23514,c_23831]) ).
tff(c_24133,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_23845,c_23843]) ).
tff(c_24146,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24145,c_24133]) ).
tff(c_24148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24090,c_24146]) ).
tff(c_24150,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_24162,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24150,c_62]) ).
tff(c_24166,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24162,c_4]) ).
tff(c_24212,plain,
! [X_228,Y_229,Z_230] : ( multiply(multiply(X_228,Y_229),Z_230) = multiply(X_228,multiply(Y_229,Z_230)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24236,plain,
! [Z_230] : ( multiply(sk_c7,multiply(sk_c4,Z_230)) = multiply(identity,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_24166,c_24212]) ).
tff(c_24305,plain,
! [Z_233] : ( multiply(sk_c7,multiply(sk_c4,Z_233)) = Z_233 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24236]) ).
tff(c_24317,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24196,c_24305]) ).
tff(c_24254,plain,
! [X_2,Z_230] : ( multiply(inverse(X_2),multiply(X_2,Z_230)) = multiply(identity,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24212]) ).
tff(c_24423,plain,
! [X_237,Z_238] : ( multiply(inverse(X_237),multiply(X_237,Z_238)) = Z_238 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24254]) ).
tff(c_24462,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_24317,c_24423]) ).
tff(c_24531,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24462]) ).
tff(c_24205,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_24150,c_66]) ).
tff(c_24242,plain,
! [Z_230] : ( multiply(sk_c6,multiply(sk_c5,Z_230)) = multiply(identity,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_22973,c_24212]) ).
tff(c_24328,plain,
! [Z_234] : ( multiply(sk_c6,multiply(sk_c5,Z_234)) = Z_234 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24242]) ).
tff(c_24340,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24205,c_24328]) ).
tff(c_24542,plain,
! [Z_239] : ( multiply(sk_c4,multiply(sk_c7,Z_239)) = multiply(sk_c6,Z_239) ),
inference(superposition,[status(thm),theory(equality)],[c_24196,c_24212]) ).
tff(c_24569,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c4,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_24317,c_24542]) ).
tff(c_24587,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24340,c_24196,c_24569]) ).
tff(c_24625,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24531,c_24587]) ).
tff(c_24248,plain,
! [Z_230] : ( multiply(sk_c8,multiply(sk_c1,Z_230)) = multiply(identity,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_24212]) ).
tff(c_24269,plain,
! [Z_231] : ( multiply(sk_c8,multiply(sk_c1,Z_231)) = Z_231 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24248]) ).
tff(c_24281,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_113,c_24269]) ).
tff(c_24471,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24281,c_24423]) ).
tff(c_24532,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24471]) ).
tff(c_24601,plain,
multiply(sk_c6,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24532,c_24150]) ).
tff(c_24859,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24625,c_2,c_24531,c_24601]) ).
tff(c_24861,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_26583,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_24861,c_12]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_26098,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24861,c_14]) ).
tff(c_26102,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26098,c_4]) ).
tff(c_26603,plain,
! [X_291,Y_292,Z_293] : ( multiply(multiply(X_291,Y_292),Z_293) = multiply(X_291,multiply(Y_292,Z_293)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26627,plain,
! [Z_293] : ( multiply(sk_c7,multiply(sk_c4,Z_293)) = multiply(identity,Z_293) ),
inference(superposition,[status(thm),theory(equality)],[c_26102,c_26603]) ).
tff(c_26683,plain,
! [Z_296] : ( multiply(sk_c7,multiply(sk_c4,Z_296)) = Z_296 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26627]) ).
tff(c_26695,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26583,c_26683]) ).
tff(c_26642,plain,
! [X_2,Z_293] : ( multiply(inverse(X_2),multiply(X_2,Z_293)) = multiply(identity,Z_293) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26603]) ).
tff(c_26722,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_26642]) ).
tff(c_26743,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_26695,c_26722]) ).
tff(c_26804,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26743]) ).
tff(c_24860,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_26122,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_26150,plain,
! [X_279,Y_280,Z_281] : ( multiply(multiply(X_279,Y_280),Z_281) = multiply(X_279,multiply(Y_280,Z_281)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26189,plain,
! [Z_281] : ( multiply(sk_c7,multiply(sk_c2,Z_281)) = multiply(identity,Z_281) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_26150]) ).
tff(c_26207,plain,
! [Z_282] : ( multiply(sk_c7,multiply(sk_c2,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26189]) ).
tff(c_26219,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26122,c_26207]) ).
tff(c_26192,plain,
! [X_2,Z_281] : ( multiply(inverse(X_2),multiply(X_2,Z_281)) = multiply(identity,Z_281) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26150]) ).
tff(c_26330,plain,
! [X_287,Z_288] : ( multiply(inverse(X_287),multiply(X_287,Z_288)) = Z_288 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26192]) ).
tff(c_26360,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_26219,c_26330]) ).
tff(c_26402,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26360]) ).
tff(c_26243,plain,
! [Z_284] : ( multiply(sk_c2,multiply(sk_c7,Z_284)) = multiply(sk_c6,Z_284) ),
inference(superposition,[status(thm),theory(equality)],[c_26122,c_26150]) ).
tff(c_26258,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c2,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_26219,c_26243]) ).
tff(c_26271,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26122,c_26258]) ).
tff(c_18,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_26132,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_24861,c_18]) ).
tff(c_24865,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24860,c_4]) ).
tff(c_26183,plain,
! [Z_281] : ( multiply(sk_c6,multiply(sk_c5,Z_281)) = multiply(identity,Z_281) ),
inference(superposition,[status(thm),theory(equality)],[c_24865,c_26150]) ).
tff(c_26299,plain,
! [Z_286] : ( multiply(sk_c6,multiply(sk_c5,Z_286)) = Z_286 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26183]) ).
tff(c_26311,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_26132,c_26299]) ).
tff(c_26315,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26271,c_26311]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_24894,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_24861,c_10]) ).
tff(c_24921,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_24938,plain,
! [X_243,Y_244,Z_245] : ( multiply(multiply(X_243,Y_244),Z_245) = multiply(X_243,multiply(Y_244,Z_245)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24980,plain,
! [Z_245] : ( multiply(sk_c7,multiply(sk_c2,Z_245)) = multiply(identity,Z_245) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_24938]) ).
tff(c_25104,plain,
! [Z_251] : ( multiply(sk_c7,multiply(sk_c2,Z_251)) = Z_251 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24980]) ).
tff(c_25116,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24921,c_25104]) ).
tff(c_25143,plain,
! [Z_253] : ( multiply(sk_c2,multiply(sk_c7,Z_253)) = multiply(sk_c6,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_24921,c_24938]) ).
tff(c_25158,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c2,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_25116,c_25143]) ).
tff(c_25171,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24921,c_25158]) ).
tff(c_24983,plain,
! [X_2,Z_245] : ( multiply(inverse(X_2),multiply(X_2,Z_245)) = multiply(identity,Z_245) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24938]) ).
tff(c_25292,plain,
! [X_255,Z_256] : ( multiply(inverse(X_255),multiply(X_255,Z_256)) = Z_256 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24983]) ).
tff(c_25334,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_25171,c_25292]) ).
tff(c_25355,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25334]) ).
tff(c_24916,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_24861,c_18]) ).
tff(c_24974,plain,
! [Z_245] : ( multiply(sk_c6,multiply(sk_c5,Z_245)) = multiply(identity,Z_245) ),
inference(superposition,[status(thm),theory(equality)],[c_24865,c_24938]) ).
tff(c_25186,plain,
! [Z_254] : ( multiply(sk_c6,multiply(sk_c5,Z_254)) = Z_254 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24974]) ).
tff(c_25198,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24916,c_25186]) ).
tff(c_25202,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_25171,c_25198]) ).
tff(c_25213,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_25202,c_98]) ).
tff(c_25245,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25213,c_4]) ).
tff(c_25383,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25355,c_25245]) ).
tff(c_24874,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_25210,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_25202,c_24874]) ).
tff(c_25214,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_25171,c_25210]) ).
tff(c_25364,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25355,c_25214]) ).
tff(c_25211,plain,
multiply(sk_c1,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_25202,c_24861]) ).
tff(c_25444,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25383,c_25364,c_25355,c_25211]) ).
tff(c_25446,plain,
multiply(sk_c2,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_25452,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_25446,c_32]) ).
tff(c_24882,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24861,c_14]) ).
tff(c_25445,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_25519,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24874,c_68]) ).
tff(c_25645,plain,
! [X3_266] :
( ( inverse(X3_266) != sk_c8 )
| ( multiply(X3_266,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_25519]) ).
tff(c_25652,plain,
inverse(sk_c3) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_25452,c_25645]) ).
tff(c_25670,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24894,c_25652]) ).
tff(c_25671,plain,
! [X4_10,X1_8,X2_9,X5_6] :
( ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_25519]) ).
tff(c_25875,plain,
! [X5_274] :
( ( multiply(X5_274,sk_c8) != sk_c6 )
| ( inverse(X5_274) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_25671]) ).
tff(c_25885,plain,
inverse(sk_c5) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_24916,c_25875]) ).
tff(c_25901,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24860,c_25885]) ).
tff(c_25902,plain,
! [X2_9,X1_8,X4_10] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_25671]) ).
tff(c_25927,plain,
! [X4_275] :
( ( inverse(X4_275) != sk_c7 )
| ( multiply(X4_275,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_25902]) ).
tff(c_25940,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_25445,c_25927]) ).
tff(c_25952,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24882,c_25940]) ).
tff(c_25953,plain,
! [X1_8,X2_9] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_25902]) ).
tff(c_26026,plain,
! [X2_277] :
( ( inverse(X2_277) != sk_c7 )
| ( multiply(X2_277,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_25953]) ).
tff(c_26042,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_25445,c_26026]) ).
tff(c_26055,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24882,c_26042]) ).
tff(c_26057,plain,
! [X1_278] :
( ( inverse(X1_278) != sk_c8 )
| ( multiply(X1_278,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_25953]) ).
tff(c_26064,plain,
inverse(sk_c3) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_25452,c_26057]) ).
tff(c_26082,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24894,c_26064]) ).
tff(c_26084,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_26320,plain,
multiply(sk_c6,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_26315,c_26084]) ).
tff(c_26325,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26271,c_26320]) ).
tff(c_26408,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_26402,c_26325]) ).
tff(c_26083,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_26321,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26315,c_26083]) ).
tff(c_26465,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26402,c_26321]) ).
tff(c_56,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_26137,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26084,c_56]) ).
tff(c_26317,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_26315,c_26137]) ).
tff(c_26562,plain,
multiply(sk_c3,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_26402,c_26317]) ).
tff(c_26205,plain,
! [X_2,Z_281] : ( multiply(inverse(X_2),multiply(X_2,Z_281)) = Z_281 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26192]) ).
tff(c_26566,plain,
multiply(inverse(sk_c3),sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26562,c_26205]) ).
tff(c_26572,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26465,c_26566]) ).
tff(c_26574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26408,c_26572]) ).
tff(c_26575,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_26764,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_26575,c_26722]) ).
tff(c_26807,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24860,c_26764]) ).
tff(c_26874,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26804,c_2,c_26804,c_26807]) ).
tff(c_26817,plain,
multiply(identity,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_26804,c_26084]) ).
tff(c_26820,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26817]) ).
tff(c_26875,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_26874,c_26820]) ).
tff(c_26588,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26084,c_56]) ).
tff(c_26758,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_26588,c_26722]) ).
tff(c_26805,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_26083,c_26758]) ).
tff(c_26970,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26874,c_2,c_26874,c_26805]) ).
tff(c_26971,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26875,c_26970]) ).
tff(c_26973,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_27022,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_26973,c_24]) ).
tff(c_26,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_26994,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26973,c_26]) ).
tff(c_26998,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26994,c_4]) ).
tff(c_27070,plain,
! [Z_303] : ( multiply(sk_c7,multiply(sk_c4,Z_303)) = multiply(identity,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_26998,c_27046]) ).
tff(c_27096,plain,
! [Z_304] : ( multiply(sk_c7,multiply(sk_c4,Z_304)) = Z_304 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27070]) ).
tff(c_27108,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27022,c_27096]) ).
tff(c_27722,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_27108,c_27677]) ).
tff(c_27773,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27722]) ).
tff(c_20,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_27011,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26973,c_20]) ).
tff(c_26972,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_26977,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26972,c_4]) ).
tff(c_27076,plain,
! [Z_303] : ( multiply(sk_c8,multiply(sk_c3,Z_303)) = multiply(identity,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_26977,c_27046]) ).
tff(c_27527,plain,
! [Z_316] : ( multiply(sk_c8,multiply(sk_c3,Z_316)) = Z_316 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27076]) ).
tff(c_27539,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27011,c_27527]) ).
tff(c_27713,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27539,c_27677]) ).
tff(c_27772,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27713]) ).
tff(c_30,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_27027,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_26973,c_30]) ).
tff(c_28,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_26986,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_26973,c_28]) ).
tff(c_26990,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26986,c_4]) ).
tff(c_27073,plain,
! [Z_303] : ( multiply(sk_c6,multiply(sk_c5,Z_303)) = multiply(identity,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_26990,c_27046]) ).
tff(c_27646,plain,
! [Z_321] : ( multiply(sk_c6,multiply(sk_c5,Z_321)) = Z_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27073]) ).
tff(c_27658,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27027,c_27646]) ).
tff(c_27964,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27773,c_27773,c_27658]) ).
tff(c_27969,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27964]) ).
tff(c_27387,plain,
! [Z_313] : ( multiply(sk_c4,multiply(sk_c7,Z_313)) = multiply(sk_c6,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_27022,c_27046]) ).
tff(c_27405,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c4,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_27108,c_27387]) ).
tff(c_27418,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27022,c_27405]) ).
tff(c_27426,plain,
! [Z_314] : ( multiply(sk_c6,multiply(sk_c5,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27073]) ).
tff(c_27438,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27027,c_27426]) ).
tff(c_27442,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27418,c_27438]) ).
tff(c_27446,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27442,c_27027]) ).
tff(c_27172,plain,
! [X_308,Z_309] : ( multiply(inverse(X_308),multiply(X_308,Z_309)) = Z_309 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27082]) ).
tff(c_27202,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_27108,c_27172]) ).
tff(c_27251,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27202]) ).
tff(c_27120,plain,
! [Z_305] : ( multiply(sk_c6,multiply(sk_c5,Z_305)) = Z_305 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27073]) ).
tff(c_27132,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27027,c_27120]) ).
tff(c_27259,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27251,c_27251,c_27132]) ).
tff(c_27267,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27259]) ).
tff(c_27119,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_27261,plain,
multiply(identity,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_27251,c_27119]) ).
tff(c_27268,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27261]) ).
tff(c_27282,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27267,c_27268]) ).
tff(c_27217,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27011,c_27172]) ).
tff(c_27254,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_26972,c_27217]) ).
tff(c_27339,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27267,c_2,c_27267,c_27254]) ).
tff(c_27340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27282,c_27339]) ).
tff(c_27341,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_27350,plain,
! [X5_6] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_27341]) ).
tff(c_27470,plain,
! [X5_6] :
( ( multiply(X5_6,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27442,c_27350]) ).
tff(c_27513,plain,
inverse(sk_c5) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_27446,c_27470]) ).
tff(c_27525,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26986,c_27513]) ).
tff(c_27526,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_27341]) ).
tff(c_27587,plain,
! [X3_319] :
( ( inverse(X3_319) != sk_c8 )
| ( multiply(X3_319,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_27526]) ).
tff(c_27600,plain,
inverse(sk_c3) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27011,c_27587]) ).
tff(c_27614,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26972,c_27600]) ).
tff(c_27615,plain,
! [X4_10,X1_8,X2_9] :
( ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_27526]) ).
tff(c_27781,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_27615]) ).
tff(c_27889,plain,
! [X2_325] :
( ( inverse(X2_325) != identity )
| ( multiply(X2_325,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27773,c_27772,c_27772,c_27781]) ).
tff(c_27908,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_27889]) ).
tff(c_27803,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27773,c_27773,c_27658]) ).
tff(c_27808,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27803]) ).
tff(c_27814,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27808,c_26977]) ).
tff(c_27928,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_27814,c_2]) ).
tff(c_27816,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27808,c_26972]) ).
tff(c_27938,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27928,c_27816]) ).
tff(c_27941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27908,c_27938]) ).
tff(c_27942,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_27615]) ).
tff(c_27993,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != identity )
| ( inverse(X4_10) != identity )
| ( multiply(X4_10,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27773,c_27772,c_27772,c_27969,c_27772,c_27969,c_27942]) ).
tff(c_27994,plain,
! [X4_10] :
( ( inverse(X4_10) != identity )
| ( multiply(X4_10,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_27993]) ).
tff(c_28604,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28221,c_27994]) ).
tff(c_27954,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27772,c_26994]) ).
tff(c_27989,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27954,c_4]) ).
tff(c_28018,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_27989,c_27094]) ).
tff(c_28030,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28018]) ).
tff(c_28034,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28030,c_27954]) ).
tff(c_28606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28604,c_28034]) ).
tff(c_28607,plain,
! [X1_8] :
( ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_27993]) ).
tff(c_29061,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28796,c_28607]) ).
tff(c_28631,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_27989,c_27094]) ).
tff(c_28643,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28631]) ).
tff(c_28647,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28643,c_27954]) ).
tff(c_29063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29061,c_28647]) ).
tff(c_29065,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_29129,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29065,c_48]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_29102,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29065,c_50]) ).
tff(c_29106,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29102,c_4]) ).
tff(c_29175,plain,
! [Z_348] : ( multiply(sk_c7,multiply(sk_c4,Z_348)) = multiply(identity,Z_348) ),
inference(superposition,[status(thm),theory(equality)],[c_29106,c_29151]) ).
tff(c_29201,plain,
! [Z_349] : ( multiply(sk_c7,multiply(sk_c4,Z_349)) = Z_349 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29175]) ).
tff(c_29213,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29129,c_29201]) ).
tff(c_29809,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29213,c_29773]) ).
tff(c_29859,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29809]) ).
tff(c_54,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_29118,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29065,c_54]) ).
tff(c_29064,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_29069,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29064,c_4]) ).
tff(c_29184,plain,
! [Z_348] : ( multiply(sk_c6,multiply(sk_c5,Z_348)) = multiply(identity,Z_348) ),
inference(superposition,[status(thm),theory(equality)],[c_29069,c_29151]) ).
tff(c_29224,plain,
! [Z_350] : ( multiply(sk_c6,multiply(sk_c5,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29184]) ).
tff(c_29236,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29118,c_29224]) ).
tff(c_30522,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29859,c_29859,c_29236]) ).
tff(c_30527,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30522]) ).
tff(c_30128,plain,
! [X_365,Z_366] : ( multiply(inverse(inverse(X_365)),Z_366) = multiply(X_365,Z_366) ),
inference(superposition,[status(thm),theory(equality)],[c_29773,c_29199]) ).
tff(c_30135,plain,
! [X_365] : ( multiply(X_365,identity) = X_365 ),
inference(superposition,[status(thm),theory(equality)],[c_30128,c_29851]) ).
tff(c_29882,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29859,c_29859,c_29236]) ).
tff(c_29887,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29882]) ).
tff(c_44,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_29124,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29065,c_44]) ).
tff(c_46,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_29090,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_29065,c_46]) ).
tff(c_29094,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29090,c_4]) ).
tff(c_29178,plain,
! [Z_348] : ( multiply(sk_c8,multiply(sk_c3,Z_348)) = multiply(identity,Z_348) ),
inference(superposition,[status(thm),theory(equality)],[c_29094,c_29151]) ).
tff(c_29737,plain,
! [Z_359] : ( multiply(sk_c8,multiply(sk_c3,Z_359)) = Z_359 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29178]) ).
tff(c_29749,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29124,c_29737]) ).
tff(c_29794,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29749,c_29773]) ).
tff(c_29858,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29794]) ).
tff(c_29339,plain,
! [X_354,Z_355] : ( multiply(inverse(X_354),multiply(X_354,Z_355)) = Z_355 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29187]) ).
tff(c_29384,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29213,c_29339]) ).
tff(c_29436,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29384]) ).
tff(c_29502,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29436,c_29436,c_29236]) ).
tff(c_29508,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29502]) ).
tff(c_29248,plain,
! [Z_351] : ( multiply(sk_c8,multiply(sk_c3,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29178]) ).
tff(c_29260,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29124,c_29248]) ).
tff(c_29372,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29260,c_29339]) ).
tff(c_29435,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29372]) ).
tff(c_29247,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_29485,plain,
multiply(sk_c6,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29435,c_29247]) ).
tff(c_29727,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29508,c_2,c_29436,c_29485]) ).
tff(c_29728,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_29880,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != identity )
| ( inverse(X4_10) != identity )
| ( multiply(X4_10,identity) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity )
| ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != sk_c6 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29858,c_29858,c_29858,c_29858,c_29858,c_29858,c_29728]) ).
tff(c_29881,plain,
! [X5_6] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_29880]) ).
tff(c_30518,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29859,c_30135,c_29887,c_29859,c_29881]) ).
tff(c_29874,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29858,c_29102]) ).
tff(c_29908,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29874,c_4]) ).
tff(c_29915,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_29908,c_29199]) ).
tff(c_29927,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29915]) ).
tff(c_29931,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29927,c_29874]) ).
tff(c_30520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30518,c_29931]) ).
tff(c_30521,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity )
| ( inverse(X4_10) != identity )
| ( multiply(X4_10,identity) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != identity ) ),
inference(splitRight,[status(thm)],[c_29880]) ).
tff(c_54016,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30825,c_30527,c_30527,c_30825,c_29859,c_30825,c_30527,c_30527,c_30825,c_29859,c_30521]) ).
tff(c_54018,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_54016]) ).
tff(c_30604,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29874,c_4]) ).
tff(c_30654,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_30604,c_29199]) ).
tff(c_30666,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30654]) ).
tff(c_30670,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30666,c_29874]) ).
tff(c_54020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54018,c_30670]) ).
tff(c_54021,plain,
! [X4_10,X1_8,X2_9] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(splitRight,[status(thm)],[c_54016]) ).
tff(c_56528,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_54021]) ).
tff(c_56530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56528,c_30670]) ).
tff(c_56531,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 ) ),
inference(splitRight,[status(thm)],[c_54021]) ).
tff(c_56533,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_56531]) ).
tff(c_56535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56533,c_30670]) ).
tff(c_56538,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_56531]) ).
tff(c_56540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56538,c_30670]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP261-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:31:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 15.87/6.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.98/6.45
% 15.98/6.45 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.98/6.52
% 15.98/6.52 Inference rules
% 15.98/6.52 ----------------------
% 15.98/6.52 #Ref : 0
% 15.98/6.52 #Sup : 13752
% 15.98/6.52 #Fact : 0
% 15.98/6.52 #Define : 0
% 15.98/6.52 #Split : 34
% 15.98/6.52 #Chain : 0
% 15.98/6.52 #Close : 0
% 15.98/6.52
% 15.98/6.52 Ordering : KBO
% 15.98/6.52
% 15.98/6.52 Simplification rules
% 15.98/6.52 ----------------------
% 15.98/6.52 #Subsume : 4
% 15.98/6.52 #Demod : 42881
% 15.98/6.52 #Tautology : 11116
% 15.98/6.52 #SimpNegUnit : 73
% 15.98/6.52 #BackRed : 435
% 15.98/6.52
% 15.98/6.52 #Partial instantiations: 0
% 15.98/6.52 #Strategies tried : 1
% 15.98/6.52
% 15.98/6.52 Timing (in seconds)
% 15.98/6.52 ----------------------
% 15.98/6.52 Preprocessing : 0.52
% 15.98/6.52 Parsing : 0.22
% 15.98/6.52 CNF conversion : 0.03
% 15.98/6.52 Main loop : 4.81
% 15.98/6.52 Inferencing : 1.30
% 15.98/6.52 Reduction : 2.74
% 15.98/6.52 Demodulation : 2.53
% 15.98/6.52 BG Simplification : 0.11
% 15.98/6.52 Subsumption : 0.44
% 15.98/6.52 Abstraction : 0.29
% 15.98/6.52 MUC search : 0.00
% 15.98/6.52 Cooper : 0.00
% 15.98/6.52 Total : 5.44
% 15.98/6.52 Index Insertion : 0.00
% 15.98/6.52 Index Deletion : 0.00
% 15.98/6.52 Index Matching : 0.00
% 15.98/6.52 BG Taut test : 0.00
%------------------------------------------------------------------------------