TSTP Solution File: GRP365-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP365-1 : 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 : n005.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 10:41:04 EDT 2023
% Result : Unsatisfiable 17.77s 6.80s
% Output : CNFRefutation 18.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 45
% Syntax : Number of formulae : 714 ( 599 unt; 11 typ; 0 def)
% Number of atoms : 951 ( 915 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 544 ( 296 ~; 248 |; 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 : 322 (; 322 !; 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_86,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(sk_c8,X3) != sk_c7 )
| ( multiply(X4,sk_c8) != X3 )
| ( inverse(X4) != sk_c8 )
| ( multiply(X5,sk_c6) != sk_c8 )
| ( inverse(X5) != sk_c6 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X2,sk_c8) != sk_c6 )
| ( inverse(X2) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( 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_47902,plain,
! [X_530,Y_531,Z_532] : ( multiply(multiply(X_530,Y_531),Z_532) = multiply(X_530,multiply(Y_531,Z_532)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_47935,plain,
! [X_2,Z_532] : ( multiply(inverse(X_2),multiply(X_2,Z_532)) = multiply(identity,Z_532) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47902]) ).
tff(c_49071,plain,
! [X_554,Z_555] : ( multiply(inverse(X_554),multiply(X_554,Z_555)) = Z_555 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47935]) ).
tff(c_47946,plain,
! [X_2,Z_532] : ( multiply(inverse(X_2),multiply(X_2,Z_532)) = Z_532 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47935]) ).
tff(c_49318,plain,
! [X_558,Z_559] : ( multiply(inverse(inverse(X_558)),Z_559) = multiply(X_558,Z_559) ),
inference(superposition,[status(thm),theory(equality)],[c_49071,c_47946]) ).
tff(c_49104,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_49071]) ).
tff(c_49325,plain,
! [X_558] : ( multiply(X_558,identity) = X_558 ),
inference(superposition,[status(thm),theory(equality)],[c_49318,c_49104]) ).
tff(c_41841,plain,
! [X_429,Y_430,Z_431] : ( multiply(multiply(X_429,Y_430),Z_431) = multiply(X_429,multiply(Y_430,Z_431)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41874,plain,
! [X_2,Z_431] : ( multiply(inverse(X_2),multiply(X_2,Z_431)) = multiply(identity,Z_431) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41841]) ).
tff(c_41885,plain,
! [X_2,Z_431] : ( multiply(inverse(X_2),multiply(X_2,Z_431)) = Z_431 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41874]) ).
tff(c_43804,plain,
! [X_470,Z_471] : ( multiply(inverse(X_470),multiply(X_470,Z_471)) = Z_471 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41874]) ).
tff(c_44110,plain,
! [X_474,Z_475] : ( multiply(inverse(inverse(X_474)),Z_475) = multiply(X_474,Z_475) ),
inference(superposition,[status(thm),theory(equality)],[c_41885,c_43804]) ).
tff(c_43852,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_43804]) ).
tff(c_44117,plain,
! [X_474] : ( multiply(X_474,identity) = X_474 ),
inference(superposition,[status(thm),theory(equality)],[c_44110,c_43852]) ).
tff(c_22,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_38106,plain,
multiply(sk_c8,sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_28,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_39278,plain,
multiply(sk_c1,sk_c8) = sk_c2,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_42,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_102,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_39304,plain,
! [X_376,Y_377,Z_378] : ( multiply(multiply(X_376,Y_377),Z_378) = multiply(X_376,multiply(Y_377,Z_378)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_39340,plain,
! [Z_378] : ( multiply(sk_c8,multiply(sk_c1,Z_378)) = multiply(identity,Z_378) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_39304]) ).
tff(c_39360,plain,
! [Z_379] : ( multiply(sk_c8,multiply(sk_c1,Z_379)) = Z_379 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39340]) ).
tff(c_39372,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_39278,c_39360]) ).
tff(c_39376,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38106,c_39372]) ).
tff(c_38137,plain,
multiply(sk_c1,sk_c8) = sk_c2,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_38164,plain,
! [X_355,Y_356,Z_357] : ( multiply(multiply(X_355,Y_356),Z_357) = multiply(X_355,multiply(Y_356,Z_357)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_38203,plain,
! [Z_357] : ( multiply(sk_c8,multiply(sk_c1,Z_357)) = multiply(identity,Z_357) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_38164]) ).
tff(c_38223,plain,
! [Z_358] : ( multiply(sk_c8,multiply(sk_c1,Z_358)) = Z_358 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38203]) ).
tff(c_38235,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38137,c_38223]) ).
tff(c_38239,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38106,c_38235]) ).
tff(c_31049,plain,
! [X_227,Y_228,Z_229] : ( multiply(multiply(X_227,Y_228),Z_229) = multiply(X_227,multiply(Y_228,Z_229)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31091,plain,
! [X_2,Z_229] : ( multiply(inverse(X_2),multiply(X_2,Z_229)) = multiply(identity,Z_229) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31049]) ).
tff(c_31103,plain,
! [X_2,Z_229] : ( multiply(inverse(X_2),multiply(X_2,Z_229)) = Z_229 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31091]) ).
tff(c_32278,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_31091]) ).
tff(c_32650,plain,
! [X_259,Z_260] : ( multiply(inverse(inverse(X_259)),Z_260) = multiply(X_259,Z_260) ),
inference(superposition,[status(thm),theory(equality)],[c_31103,c_32278]) ).
tff(c_32356,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32278]) ).
tff(c_32657,plain,
! [X_259] : ( multiply(X_259,identity) = X_259 ),
inference(superposition,[status(thm),theory(equality)],[c_32650,c_32356]) ).
tff(c_52,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_118,plain,
multiply(sk_c3,sk_c6) = sk_c8,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_66,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_85,plain,
inverse(sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_89,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_31088,plain,
! [Z_229] : ( multiply(sk_c6,multiply(sk_c3,Z_229)) = multiply(identity,Z_229) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_31049]) ).
tff(c_31236,plain,
! [Z_234] : ( multiply(sk_c6,multiply(sk_c3,Z_234)) = Z_234 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31088]) ).
tff(c_31248,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_118,c_31236]) ).
tff(c_32317,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_31248,c_32278]) ).
tff(c_32366,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32317]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_112,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_31252,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31248,c_112]) ).
tff(c_30455,plain,
! [X_216,Y_217,Z_218] : ( multiply(multiply(X_216,Y_217),Z_218) = multiply(X_216,multiply(Y_217,Z_218)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30497,plain,
! [Z_218] : ( multiply(sk_c6,multiply(sk_c3,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_30455]) ).
tff(c_30527,plain,
! [Z_220] : ( multiply(sk_c6,multiply(sk_c3,Z_220)) = Z_220 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30497]) ).
tff(c_30539,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_118,c_30527]) ).
tff(c_30500,plain,
! [X_2,Z_218] : ( multiply(inverse(X_2),multiply(X_2,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30455]) ).
tff(c_30619,plain,
! [X_222,Z_223] : ( multiply(inverse(X_222),multiply(X_222,Z_223)) = Z_223 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30500]) ).
tff(c_30652,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30539,c_30619]) ).
tff(c_30704,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30652]) ).
tff(c_30543,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30539,c_112]) ).
tff(c_153,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_186,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_153]) ).
tff(c_290,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_186]) ).
tff(c_196,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_186]) ).
tff(c_587,plain,
! [X_21,Z_22] : ( multiply(inverse(inverse(X_21)),Z_22) = multiply(X_21,Z_22) ),
inference(superposition,[status(thm),theory(equality)],[c_290,c_196]) ).
tff(c_335,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_290]) ).
tff(c_594,plain,
! [X_21] : ( multiply(X_21,identity) = X_21 ),
inference(superposition,[status(thm),theory(equality)],[c_587,c_335]) ).
tff(c_26,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_125,plain,
multiply(sk_c8,sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_36,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_132,plain,
multiply(sk_c1,sk_c8) = sk_c2,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_180,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_153]) ).
tff(c_198,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_180]) ).
tff(c_210,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_132,c_198]) ).
tff(c_214,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_210]) ).
tff(c_219,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_112]) ).
tff(c_218,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_118]) ).
tff(c_308,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_218,c_290]) ).
tff(c_342,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_219,c_85,c_308]) ).
tff(c_68,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_240,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_10,sk_c7)) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_68]) ).
tff(c_241,plain,
multiply(sk_c6,sk_c7) != sk_c7,
inference(splitLeft,[status(thm)],[c_240]) ).
tff(c_258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241,c_219]) ).
tff(c_260,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(splitRight,[status(thm)],[c_240]) ).
tff(c_387,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_342,c_342,c_260]) ).
tff(c_391,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_387,c_196]) ).
tff(c_397,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_391]) ).
tff(c_403,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_397,c_342]) ).
tff(c_259,plain,
! [X4_10,X5_6,X1_8,X2_9] :
( ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_10,sk_c7)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_240]) ).
tff(c_9135,plain,
! [X4_10,X5_6,X1_8,X2_9] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( 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_594,c_403,c_397,c_403,c_594,c_403,c_403,c_403,c_594,c_403,c_397,c_397,c_594,c_403,c_403,c_2,c_403,c_403,c_403,c_2,c_403,c_397,c_259]) ).
tff(c_9137,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9135]) ).
tff(c_221,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_98]) ).
tff(c_354,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_342,c_221]) ).
tff(c_400,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_397,c_354]) ).
tff(c_426,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_400,c_4]) ).
tff(c_456,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_426,c_196]) ).
tff(c_468,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_456]) ).
tff(c_473,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_468,c_400]) ).
tff(c_9139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9137,c_473]) ).
tff(c_9140,plain,
! [X1_8,X5_6,X4_10] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 ) ),
inference(splitRight,[status(thm)],[c_9135]) ).
tff(c_29397,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9140]) ).
tff(c_29399,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29397,c_473]) ).
tff(c_29400,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_9140]) ).
tff(c_29402,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_29400]) ).
tff(c_29404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29402,c_473]) ).
tff(c_30400,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_29400]) ).
tff(c_30402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30400,c_473]) ).
tff(c_30404,plain,
multiply(sk_c1,sk_c8) != sk_c2,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_30440,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_30404,c_28]) ).
tff(c_30558,plain,
multiply(sk_c8,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30543,c_30440]) ).
tff(c_32,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_30419,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_30404,c_32]) ).
tff(c_30,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_30449,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_30404,c_30]) ).
tff(c_30557,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30543,c_30449]) ).
tff(c_30643,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30557,c_30619]) ).
tff(c_30702,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30558,c_30419,c_30643]) ).
tff(c_30734,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30704,c_30702]) ).
tff(c_30403,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_34,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_30431,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_30404,c_34]) ).
tff(c_30664,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30431,c_30619]) ).
tff(c_30705,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30558,c_30403,c_30664]) ).
tff(c_30724,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30705,c_98]) ).
tff(c_30796,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30734,c_30724]) ).
tff(c_30803,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30796,c_4]) ).
tff(c_30512,plain,
! [X_2,Z_218] : ( multiply(inverse(X_2),multiply(X_2,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30500]) ).
tff(c_30849,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_30803,c_30512]) ).
tff(c_30861,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30849]) ).
tff(c_30720,plain,
multiply(sk_c1,sk_c6) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_30705,c_30404]) ).
tff(c_30845,plain,
multiply(sk_c1,identity) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_30734,c_30720]) ).
tff(c_30865,plain,
multiply(identity,identity) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_30861,c_30845]) ).
tff(c_30868,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30865]) ).
tff(c_30559,plain,
multiply(sk_c8,sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30543,c_125]) ).
tff(c_30712,plain,
multiply(sk_c6,sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30705,c_30559]) ).
tff(c_30992,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30734,c_2,c_30734,c_30712]) ).
tff(c_30993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30868,c_30992]) ).
tff(c_30995,plain,
multiply(sk_c8,sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_18,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_31032,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_30995,c_18]) ).
tff(c_31261,plain,
multiply(sk_c8,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31252,c_31032]) ).
tff(c_31010,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_30995,c_22]) ).
tff(c_20,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_31042,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_30995,c_20]) ).
tff(c_31260,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31252,c_31042]) ).
tff(c_32308,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_31260,c_32278]) ).
tff(c_32364,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31261,c_31010,c_32308]) ).
tff(c_32399,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32366,c_32364]) ).
tff(c_31448,plain,
! [X_239,Z_240] : ( multiply(inverse(X_239),multiply(X_239,Z_240)) = Z_240 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31091]) ).
tff(c_31863,plain,
! [X_244,Z_245] : ( multiply(inverse(inverse(X_244)),Z_245) = multiply(X_244,Z_245) ),
inference(superposition,[status(thm),theory(equality)],[c_31103,c_31448]) ).
tff(c_31496,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31448]) ).
tff(c_31870,plain,
! [X_244] : ( multiply(X_244,identity) = X_244 ),
inference(superposition,[status(thm),theory(equality)],[c_31863,c_31496]) ).
tff(c_31014,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31010,c_4]) ).
tff(c_31073,plain,
! [Z_229] : ( multiply(sk_c8,multiply(sk_c4,Z_229)) = multiply(identity,Z_229) ),
inference(superposition,[status(thm),theory(equality)],[c_31014,c_31049]) ).
tff(c_31337,plain,
! [Z_237] : ( multiply(sk_c8,multiply(sk_c4,Z_237)) = Z_237 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31073]) ).
tff(c_31349,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_31260,c_31337]) ).
tff(c_31353,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31261,c_31349]) ).
tff(c_31362,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31353,c_31248]) ).
tff(c_31578,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_31362,c_31103]) ).
tff(c_31587,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31578]) ).
tff(c_31602,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31587,c_31353]) ).
tff(c_31108,plain,
! [Z_230] : ( multiply(sk_c6,multiply(sk_c3,Z_230)) = Z_230 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31088]) ).
tff(c_31120,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_118,c_31108]) ).
tff(c_31124,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31120,c_112]) ).
tff(c_31133,plain,
multiply(sk_c8,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31124,c_31032]) ).
tff(c_31132,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31124,c_31042]) ).
tff(c_31106,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112,c_31032,c_68]) ).
tff(c_31107,plain,
! [X4_10] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_31106]) ).
tff(c_31200,plain,
! [X4_233] :
( ( inverse(X4_233) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_233,sk_c8)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31124,c_31107]) ).
tff(c_31210,plain,
( ( inverse(sk_c4) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_31132,c_31200]) ).
tff(c_31234,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31133,c_31010,c_31210]) ).
tff(c_31235,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_31106]) ).
tff(c_31327,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31252,c_31235]) ).
tff(c_31328,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_31327]) ).
tff(c_32249,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_31870,c_31602,c_31587,c_31602,c_31328]) ).
tff(c_31365,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31353,c_31010]) ).
tff(c_31409,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31365,c_4]) ).
tff(c_31661,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31587,c_31409]) ).
tff(c_31600,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31587,c_31365]) ).
tff(c_31662,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31661,c_31600]) ).
tff(c_32251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32249,c_31662]) ).
tff(c_32252,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_31327]) ).
tff(c_35879,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_32657,c_32399,c_32366,c_32399,c_32657,c_32399,c_32366,c_32366,c_32252]) ).
tff(c_35881,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_35879]) ).
tff(c_30994,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_24,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_31026,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_30995,c_24]) ).
tff(c_32326,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_31026,c_32278]) ).
tff(c_32367,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31261,c_30994,c_32326]) ).
tff(c_32383,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_32367,c_31010]) ).
tff(c_32451,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32399,c_32383]) ).
tff(c_32458,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32451,c_4]) ).
tff(c_32498,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_32458,c_31103]) ).
tff(c_32510,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32498]) ).
tff(c_32514,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32510,c_32451]) ).
tff(c_35883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35881,c_32514]) ).
tff(c_35885,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_35879]) ).
tff(c_35887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35885,c_32514]) ).
tff(c_35889,plain,
multiply(sk_c3,sk_c6) != sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_48,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_37281,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35889,c_48]) ).
tff(c_35903,plain,
multiply(sk_c8,sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_35926,plain,
multiply(sk_c1,sk_c8) = sk_c2,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_35954,plain,
! [X_311,Y_312,Z_313] : ( multiply(multiply(X_311,Y_312),Z_313) = multiply(X_311,multiply(Y_312,Z_313)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35993,plain,
! [Z_313] : ( multiply(sk_c8,multiply(sk_c1,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_35954]) ).
tff(c_36013,plain,
! [Z_314] : ( multiply(sk_c8,multiply(sk_c1,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35993]) ).
tff(c_36025,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35926,c_36013]) ).
tff(c_36029,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35903,c_36025]) ).
tff(c_56,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_35909,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_35889,c_56]) ).
tff(c_36036,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36029,c_35909]) ).
tff(c_54,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_35944,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35889,c_54]) ).
tff(c_36031,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36029,c_35944]) ).
tff(c_35999,plain,
! [X_2,Z_313] : ( multiply(inverse(X_2),multiply(X_2,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35954]) ).
tff(c_36011,plain,
! [X_2,Z_313] : ( multiply(inverse(X_2),multiply(X_2,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35999]) ).
tff(c_36288,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36031,c_36011]) ).
tff(c_36294,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36036,c_36288]) ).
tff(c_36345,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_36294,c_36011]) ).
tff(c_36351,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36345]) ).
tff(c_36358,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36351,c_89]) ).
tff(c_36536,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_36358,c_36011]) ).
tff(c_36548,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36536]) ).
tff(c_35888,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_36040,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36029,c_35888]) ).
tff(c_50,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_35932,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_35889,c_50]) ).
tff(c_36033,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36029,c_35932]) ).
tff(c_36299,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36033,c_36011]) ).
tff(c_36305,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36040,c_36299]) ).
tff(c_36379,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36305,c_36011]) ).
tff(c_36385,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36379]) ).
tff(c_36039,plain,
multiply(sk_c3,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36029,c_35889]) ).
tff(c_36355,plain,
multiply(sk_c3,identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36351,c_36039]) ).
tff(c_36565,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36548,c_36385,c_36355]) ).
tff(c_36566,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_36574,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_35889,c_50]) ).
tff(c_35893,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35888,c_4]) ).
tff(c_36594,plain,
! [X_320,Y_321,Z_322] : ( multiply(multiply(X_320,Y_321),Z_322) = multiply(X_320,multiply(Y_321,Z_322)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36624,plain,
! [Z_322] : ( multiply(sk_c8,multiply(sk_c4,Z_322)) = multiply(identity,Z_322) ),
inference(superposition,[status(thm),theory(equality)],[c_35893,c_36594]) ).
tff(c_36858,plain,
! [Z_329] : ( multiply(sk_c8,multiply(sk_c4,Z_329)) = Z_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36624]) ).
tff(c_36870,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36574,c_36858]) ).
tff(c_36874,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36566,c_36870]) ).
tff(c_36582,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35889,c_54]) ).
tff(c_35913,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35909,c_4]) ).
tff(c_36618,plain,
! [Z_322] : ( multiply(sk_c8,multiply(sk_c5,Z_322)) = multiply(identity,Z_322) ),
inference(superposition,[status(thm),theory(equality)],[c_35913,c_36594]) ).
tff(c_36676,plain,
! [Z_325] : ( multiply(sk_c8,multiply(sk_c5,Z_325)) = Z_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36618]) ).
tff(c_36688,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36582,c_36676]) ).
tff(c_36876,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36874,c_36874,c_36688]) ).
tff(c_36636,plain,
! [X_2,Z_322] : ( multiply(inverse(X_2),multiply(X_2,Z_322)) = multiply(identity,Z_322) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36594]) ).
tff(c_36648,plain,
! [X_2,Z_322] : ( multiply(inverse(X_2),multiply(X_2,Z_322)) = Z_322 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36636]) ).
tff(c_37066,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_36876,c_36648]) ).
tff(c_37072,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37066]) ).
tff(c_37087,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37072,c_89]) ).
tff(c_37178,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_37087,c_36648]) ).
tff(c_37190,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37178]) ).
tff(c_36887,plain,
multiply(sk_c3,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36874,c_35889]) ).
tff(c_37078,plain,
multiply(sk_c3,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37072,c_37072,c_36887]) ).
tff(c_37251,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37190,c_37078]) ).
tff(c_37253,plain,
multiply(sk_c8,sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_37292,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_37253,c_20]) ).
tff(c_37305,plain,
! [X_334,Y_335,Z_336] : ( multiply(multiply(X_334,Y_335),Z_336) = multiply(X_334,multiply(Y_335,Z_336)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37335,plain,
! [Z_336] : ( multiply(sk_c8,multiply(sk_c4,Z_336)) = multiply(identity,Z_336) ),
inference(superposition,[status(thm),theory(equality)],[c_35893,c_37305]) ).
tff(c_37960,plain,
! [Z_353] : ( multiply(sk_c8,multiply(sk_c4,Z_353)) = Z_353 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37335]) ).
tff(c_37975,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37292,c_37960]) ).
tff(c_37979,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37281,c_37975]) ).
tff(c_37995,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37979,c_35888]) ).
tff(c_37987,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_37979,c_37292]) ).
tff(c_37798,plain,
! [Z_350] : ( multiply(sk_c8,multiply(sk_c4,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37335]) ).
tff(c_37813,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37292,c_37798]) ).
tff(c_37817,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37281,c_37813]) ).
tff(c_37252,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_37830,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37817,c_37252]) ).
tff(c_37286,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35889,c_54]) ).
tff(c_37826,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37817,c_37286]) ).
tff(c_37401,plain,
! [Z_339] : ( multiply(sk_c8,multiply(sk_c4,Z_339)) = Z_339 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37335]) ).
tff(c_37413,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37292,c_37401]) ).
tff(c_37417,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37281,c_37413]) ).
tff(c_37362,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112,c_37281,c_68]) ).
tff(c_37418,plain,
! [X4_340] :
( ( inverse(X4_340) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_340,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_37362]) ).
tff(c_37436,plain,
( ( inverse(sk_c5) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_37286,c_37418]) ).
tff(c_37458,plain,
multiply(sk_c8,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_37252,c_37436]) ).
tff(c_37512,plain,
multiply(sk_c6,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_37417,c_37458]) ).
tff(c_37476,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_37417,c_112]) ).
tff(c_37521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37512,c_37476]) ).
tff(c_37522,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_37362]) ).
tff(c_37641,plain,
! [X2_345] :
( ( inverse(X2_345) != sk_c8 )
| ( multiply(X2_345,sk_c8) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_37522]) ).
tff(c_37651,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37286,c_37641]) ).
tff(c_37671,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37252,c_37651]) ).
tff(c_37672,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_37522]) ).
tff(c_37790,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_37672]) ).
tff(c_37888,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37817,c_37790]) ).
tff(c_37942,plain,
inverse(sk_c5) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37826,c_37888]) ).
tff(c_37951,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37830,c_37942]) ).
tff(c_37952,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_37672]) ).
tff(c_38003,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37979,c_37979,c_37952]) ).
tff(c_38082,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37987,c_38003]) ).
tff(c_38091,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37995,c_38082]) ).
tff(c_38093,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_38250,plain,
multiply(sk_c6,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38239,c_38093]) ).
tff(c_8,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_38149,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_38093,c_8]) ).
tff(c_38242,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38239,c_38149]) ).
tff(c_12,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_38118,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_38093,c_12]) ).
tff(c_38246,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38239,c_38118]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_38144,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_38093,c_10]) ).
tff(c_38243,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38239,c_38144]) ).
tff(c_38209,plain,
! [X_2,Z_357] : ( multiply(inverse(X_2),multiply(X_2,Z_357)) = multiply(identity,Z_357) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38164]) ).
tff(c_38221,plain,
! [X_2,Z_357] : ( multiply(inverse(X_2),multiply(X_2,Z_357)) = Z_357 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38209]) ).
tff(c_38423,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_38243,c_38221]) ).
tff(c_38429,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38242,c_38246,c_38423]) ).
tff(c_38248,plain,
multiply(sk_c7,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38239,c_38106]) ).
tff(c_38296,plain,
! [X_359,Z_360] : ( multiply(inverse(X_359),multiply(X_359,Z_360)) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38209]) ).
tff(c_38314,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_38248,c_38296]) ).
tff(c_38345,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38314]) ).
tff(c_38244,plain,
multiply(sk_c1,sk_c7) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_38239,c_38137]) ).
tff(c_38351,plain,
multiply(sk_c1,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38345,c_38244]) ).
tff(c_38437,plain,
multiply(sk_c1,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38429,c_38351]) ).
tff(c_38092,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_38251,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38239,c_38092]) ).
tff(c_14,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_38155,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_38093,c_14]) ).
tff(c_38241,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38239,c_38155]) ).
tff(c_38411,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_38241,c_38221]) ).
tff(c_38417,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38251,c_38411]) ).
tff(c_38576,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38429,c_38429,c_38417]) ).
tff(c_38443,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38429,c_38239]) ).
tff(c_38188,plain,
! [Z_357] : ( multiply(sk_c1,multiply(sk_c8,Z_357)) = multiply(sk_c2,Z_357) ),
inference(superposition,[status(thm),theory(equality)],[c_38137,c_38164]) ).
tff(c_38519,plain,
! [Z_357] : ( multiply(sk_c1,multiply(sk_c6,Z_357)) = Z_357 ),
inference(demodulation,[status(thm),theory(equality)],[c_38443,c_2,c_38345,c_38188]) ).
tff(c_38580,plain,
multiply(sk_c1,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_38576,c_38519]) ).
tff(c_38589,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38437,c_38580]) ).
tff(c_38265,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_10,sk_c7)) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38239,c_38239,c_38239,c_38239,c_38239,c_38239,c_38239,c_38239,c_38239,c_38239,c_68]) ).
tff(c_38266,plain,
multiply(sk_c6,sk_c7) != sk_c7,
inference(splitLeft,[status(thm)],[c_38265]) ).
tff(c_38439,plain,
multiply(sk_c6,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38429,c_38429,c_38266]) ).
tff(c_38727,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38589,c_38439]) ).
tff(c_38729,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(splitRight,[status(thm)],[c_38265]) ).
tff(c_38848,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38250,c_38729]) ).
tff(c_38849,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_38850,plain,
multiply(sk_c1,sk_c8) != sk_c2,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_38855,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_38850,c_30]) ).
tff(c_38122,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38118,c_4]) ).
tff(c_38876,plain,
! [X_365,Y_366,Z_367] : ( multiply(multiply(X_365,Y_366),Z_367) = multiply(X_365,multiply(Y_366,Z_367)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_38900,plain,
! [Z_367] : ( multiply(sk_c8,multiply(sk_c4,Z_367)) = multiply(identity,Z_367) ),
inference(superposition,[status(thm),theory(equality)],[c_38122,c_38876]) ).
tff(c_39027,plain,
! [Z_372] : ( multiply(sk_c8,multiply(sk_c4,Z_372)) = Z_372 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38900]) ).
tff(c_39039,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38855,c_39027]) ).
tff(c_39043,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38849,c_39039]) ).
tff(c_39054,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39043,c_38849]) ).
tff(c_38918,plain,
! [X_2,Z_367] : ( multiply(inverse(X_2),multiply(X_2,Z_367)) = multiply(identity,Z_367) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38876]) ).
tff(c_38930,plain,
! [X_2,Z_367] : ( multiply(inverse(X_2),multiply(X_2,Z_367)) = Z_367 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38918]) ).
tff(c_39160,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_39054,c_38930]) ).
tff(c_39166,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39160]) ).
tff(c_38112,plain,
multiply(sk_c3,sk_c6) = sk_c8,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_38915,plain,
! [Z_367] : ( multiply(sk_c6,multiply(sk_c3,Z_367)) = multiply(identity,Z_367) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_38876]) ).
tff(c_38947,plain,
! [Z_369] : ( multiply(sk_c6,multiply(sk_c3,Z_369)) = Z_369 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38915]) ).
tff(c_38959,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_38112,c_38947]) ).
tff(c_38963,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38959,c_38093]) ).
tff(c_39170,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_39166,c_38963]) ).
tff(c_38867,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_38850,c_34]) ).
tff(c_38097,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38092,c_4]) ).
tff(c_38909,plain,
! [Z_367] : ( multiply(sk_c8,multiply(sk_c5,Z_367)) = multiply(identity,Z_367) ),
inference(superposition,[status(thm),theory(equality)],[c_38097,c_38876]) ).
tff(c_39004,plain,
! [Z_371] : ( multiply(sk_c8,multiply(sk_c5,Z_371)) = Z_371 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38909]) ).
tff(c_39016,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38867,c_39004]) ).
tff(c_39045,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39043,c_39043,c_39016]) ).
tff(c_39242,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_39045,c_38930]) ).
tff(c_39248,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39242]) ).
tff(c_39250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39170,c_39248]) ).
tff(c_39252,plain,
multiply(sk_c3,sk_c6) != sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_39283,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_39252,c_48]) ).
tff(c_39381,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39376,c_39283]) ).
tff(c_39251,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_39386,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39376,c_39251]) ).
tff(c_39273,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_39252,c_50]) ).
tff(c_39383,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39376,c_39273]) ).
tff(c_39346,plain,
! [X_2,Z_378] : ( multiply(inverse(X_2),multiply(X_2,Z_378)) = multiply(identity,Z_378) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39304]) ).
tff(c_39358,plain,
! [X_2,Z_378] : ( multiply(inverse(X_2),multiply(X_2,Z_378)) = Z_378 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39346]) ).
tff(c_39526,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_39383,c_39358]) ).
tff(c_39532,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39381,c_39386,c_39526]) ).
tff(c_39390,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39376,c_38092]) ).
tff(c_39297,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_38093,c_14]) ).
tff(c_39380,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39376,c_39297]) ).
tff(c_39505,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_39380,c_39358]) ).
tff(c_39511,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39390,c_39505]) ).
tff(c_39683,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39532,c_39532,c_39511]) ).
tff(c_39690,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_39683,c_39358]) ).
tff(c_39696,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39690]) ).
tff(c_39389,plain,
multiply(sk_c6,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39376,c_38093]) ).
tff(c_39537,plain,
multiply(sk_c6,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39532,c_39532,c_39389]) ).
tff(c_39846,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39696,c_39537]) ).
tff(c_39847,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_39256,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39251,c_4]) ).
tff(c_39873,plain,
! [X_385,Y_386,Z_387] : ( multiply(multiply(X_385,Y_386),Z_387) = multiply(X_385,multiply(Y_386,Z_387)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_39897,plain,
! [Z_387] : ( multiply(sk_c8,multiply(sk_c4,Z_387)) = multiply(identity,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_39256,c_39873]) ).
tff(c_39977,plain,
! [Z_391] : ( multiply(sk_c8,multiply(sk_c4,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39897]) ).
tff(c_39989,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_39273,c_39977]) ).
tff(c_39993,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39847,c_39989]) ).
tff(c_39860,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_38093,c_14]) ).
tff(c_39903,plain,
! [Z_387] : ( multiply(sk_c8,multiply(sk_c5,Z_387)) = multiply(identity,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_38097,c_39873]) ).
tff(c_39954,plain,
! [Z_390] : ( multiply(sk_c8,multiply(sk_c5,Z_390)) = Z_390 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39903]) ).
tff(c_39966,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_39860,c_39954]) ).
tff(c_39995,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39993,c_39993,c_39966]) ).
tff(c_39912,plain,
! [X_2,Z_387] : ( multiply(inverse(X_2),multiply(X_2,Z_387)) = multiply(identity,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39873]) ).
tff(c_39924,plain,
! [X_2,Z_387] : ( multiply(inverse(X_2),multiply(X_2,Z_387)) = Z_387 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39912]) ).
tff(c_40109,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_39995,c_39924]) ).
tff(c_40115,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40109]) ).
tff(c_40005,plain,
multiply(sk_c6,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39993,c_38106]) ).
tff(c_40204,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40115,c_40005]) ).
tff(c_40007,plain,
multiply(sk_c6,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39993,c_38093]) ).
tff(c_40105,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39995,c_40007]) ).
tff(c_40117,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40115,c_40105]) ).
tff(c_40205,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40204,c_40117]) ).
tff(c_40004,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39993,c_39251]) ).
tff(c_40123,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40115,c_40004]) ).
tff(c_40001,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39993,c_39273]) ).
tff(c_40229,plain,
multiply(sk_c4,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_40204,c_40115,c_40001]) ).
tff(c_40233,plain,
multiply(inverse(sk_c4),sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40229,c_39924]) ).
tff(c_40239,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40123,c_40233]) ).
tff(c_40241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40205,c_40239]) ).
tff(c_40243,plain,
multiply(sk_c8,sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_40755,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_40243,c_18]) ).
tff(c_40744,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_38093,c_10]) ).
tff(c_40242,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_40247,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40242,c_4]) ).
tff(c_40777,plain,
! [X_407,Y_408,Z_409] : ( multiply(multiply(X_407,Y_408),Z_409) = multiply(X_407,multiply(Y_408,Z_409)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_40804,plain,
! [Z_409] : ( multiply(sk_c8,multiply(sk_c4,Z_409)) = multiply(identity,Z_409) ),
inference(superposition,[status(thm),theory(equality)],[c_40247,c_40777]) ).
tff(c_40911,plain,
! [Z_413] : ( multiply(sk_c8,multiply(sk_c4,Z_413)) = Z_413 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40804]) ).
tff(c_40926,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40744,c_40911]) ).
tff(c_40930,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40755,c_40926]) ).
tff(c_40937,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40930,c_40755]) ).
tff(c_40816,plain,
! [X_2,Z_409] : ( multiply(inverse(X_2),multiply(X_2,Z_409)) = multiply(identity,Z_409) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40777]) ).
tff(c_40828,plain,
! [X_2,Z_409] : ( multiply(inverse(X_2),multiply(X_2,Z_409)) = Z_409 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40816]) ).
tff(c_41055,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_40937,c_40828]) ).
tff(c_41061,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41055]) ).
tff(c_40750,plain,
multiply(sk_c1,sk_c8) = sk_c2,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_40810,plain,
! [Z_409] : ( multiply(sk_c8,multiply(sk_c1,Z_409)) = multiply(identity,Z_409) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_40777]) ).
tff(c_40830,plain,
! [Z_410] : ( multiply(sk_c8,multiply(sk_c1,Z_410)) = Z_410 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40810]) ).
tff(c_40842,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40750,c_40830]) ).
tff(c_40848,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_40842,c_40243]) ).
tff(c_40933,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40930,c_40848]) ).
tff(c_41064,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_41061,c_40933]) ).
tff(c_40940,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_40930,c_40744]) ).
tff(c_41081,plain,
multiply(sk_c4,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41061,c_40940]) ).
tff(c_40945,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40930,c_38092]) ).
tff(c_40768,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_38093,c_14]) ).
tff(c_40936,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40930,c_40768]) ).
tff(c_41044,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_40936,c_40828]) ).
tff(c_41050,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40945,c_41044]) ).
tff(c_40801,plain,
! [Z_409] : ( multiply(sk_c4,multiply(sk_c8,Z_409)) = multiply(sk_c7,Z_409) ),
inference(superposition,[status(thm),theory(equality)],[c_40744,c_40777]) ).
tff(c_41135,plain,
! [Z_409] : ( multiply(sk_c4,multiply(sk_c6,Z_409)) = Z_409 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41061,c_40930,c_40801]) ).
tff(c_41177,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_41050,c_41135]) ).
tff(c_41186,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41081,c_41177]) ).
tff(c_41188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41064,c_41186]) ).
tff(c_41189,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_41216,plain,
! [X_417,Y_418,Z_419] : ( multiply(multiply(X_417,Y_418),Z_419) = multiply(X_417,multiply(Y_418,Z_419)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41240,plain,
! [Z_419] : ( multiply(sk_c8,multiply(sk_c4,Z_419)) = multiply(identity,Z_419) ),
inference(superposition,[status(thm),theory(equality)],[c_40247,c_41216]) ).
tff(c_41292,plain,
! [Z_422] : ( multiply(sk_c8,multiply(sk_c4,Z_422)) = Z_422 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41240]) ).
tff(c_41304,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40744,c_41292]) ).
tff(c_41308,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41189,c_41304]) ).
tff(c_41313,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41308,c_41189]) ).
tff(c_41252,plain,
! [X_2,Z_419] : ( multiply(inverse(X_2),multiply(X_2,Z_419)) = multiply(identity,Z_419) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41216]) ).
tff(c_41264,plain,
! [X_2,Z_419] : ( multiply(inverse(X_2),multiply(X_2,Z_419)) = Z_419 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41252]) ).
tff(c_41750,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41313,c_41264]) ).
tff(c_41756,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41750]) ).
tff(c_41445,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41313,c_41264]) ).
tff(c_41451,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41445]) ).
tff(c_41315,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41308,c_40744]) ).
tff(c_41462,plain,
multiply(sk_c4,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41451,c_41315]) ).
tff(c_41321,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41308,c_38092]) ).
tff(c_40294,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_40243,c_24]) ).
tff(c_40302,plain,
! [X_396,Y_397,Z_398] : ( multiply(multiply(X_396,Y_397),Z_398) = multiply(X_396,multiply(Y_397,Z_398)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_40335,plain,
! [Z_398] : ( multiply(sk_c8,multiply(sk_c5,Z_398)) = multiply(identity,Z_398) ),
inference(superposition,[status(thm),theory(equality)],[c_38097,c_40302]) ).
tff(c_40408,plain,
! [Z_401] : ( multiply(sk_c8,multiply(sk_c5,Z_401)) = Z_401 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40335]) ).
tff(c_40420,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40294,c_40408]) ).
tff(c_40344,plain,
! [X_2,Z_398] : ( multiply(inverse(X_2),multiply(X_2,Z_398)) = multiply(identity,Z_398) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40302]) ).
tff(c_40431,plain,
! [X_402,Z_403] : ( multiply(inverse(X_402),multiply(X_402,Z_403)) = Z_403 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40344]) ).
tff(c_40449,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_40420,c_40431]) ).
tff(c_40516,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40449]) ).
tff(c_40267,plain,
multiply(sk_c3,sk_c6) = sk_c8,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_40341,plain,
! [Z_398] : ( multiply(sk_c6,multiply(sk_c3,Z_398)) = multiply(identity,Z_398) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_40302]) ).
tff(c_40384,plain,
! [Z_400] : ( multiply(sk_c6,multiply(sk_c3,Z_400)) = Z_400 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40341]) ).
tff(c_40396,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_40267,c_40384]) ).
tff(c_40400,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40396,c_38093]) ).
tff(c_40548,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40516,c_40400]) ).
tff(c_40277,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_40243,c_18]) ).
tff(c_40272,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_38093,c_10]) ).
tff(c_40479,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40272,c_40431]) ).
tff(c_40521,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40277,c_40242,c_40479]) ).
tff(c_40534,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40521,c_40277]) ).
tff(c_40740,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40516,c_2,c_40516,c_40534]) ).
tff(c_40741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40548,c_40740]) ).
tff(c_40743,plain,
multiply(sk_c3,sk_c6) != sk_c8,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_41197,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_40743,c_54]) ).
tff(c_41311,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41308,c_41197]) ).
tff(c_41382,plain,
! [X_423,Z_424] : ( multiply(inverse(X_423),multiply(X_423,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41252]) ).
tff(c_41403,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_41311,c_41382]) ).
tff(c_41440,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41321,c_41403]) ).
tff(c_41237,plain,
! [Z_419] : ( multiply(sk_c4,multiply(sk_c8,Z_419)) = multiply(sk_c7,Z_419) ),
inference(superposition,[status(thm),theory(equality)],[c_40744,c_41216]) ).
tff(c_41488,plain,
! [Z_419] : ( multiply(sk_c4,multiply(sk_c6,Z_419)) = Z_419 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41451,c_41308,c_41237]) ).
tff(c_41528,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_41440,c_41488]) ).
tff(c_41537,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41462,c_41528]) ).
tff(c_41335,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(sk_c6,multiply(X4_10,sk_c6)) != sk_c7 )
| ( multiply(sk_c6,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41308,c_41308,c_41308,c_41308,c_41308,c_41308,c_41308,c_41308,c_41308,c_41308,c_68]) ).
tff(c_41336,plain,
multiply(sk_c6,sk_c6) != sk_c7,
inference(splitLeft,[status(thm)],[c_41335]) ).
tff(c_41454,plain,
multiply(sk_c6,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_41451,c_41336]) ).
tff(c_41649,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41537,c_2,c_41537,c_41454]) ).
tff(c_41651,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_41335]) ).
tff(c_41764,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41756,c_41651]) ).
tff(c_41320,plain,
multiply(sk_c6,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41308,c_38093]) ).
tff(c_41777,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41764,c_41756,c_41320]) ).
tff(c_41779,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_38,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_41808,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_41779,c_38]) ).
tff(c_40,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_41820,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_41779,c_40]) ).
tff(c_41778,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_41783,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41778,c_4]) ).
tff(c_41868,plain,
! [Z_431] : ( multiply(sk_c8,multiply(sk_c4,Z_431)) = multiply(identity,Z_431) ),
inference(superposition,[status(thm),theory(equality)],[c_41783,c_41841]) ).
tff(c_42160,plain,
! [Z_437] : ( multiply(sk_c8,multiply(sk_c4,Z_437)) = Z_437 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41868]) ).
tff(c_42172,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41820,c_42160]) ).
tff(c_42176,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41808,c_42172]) ).
tff(c_44,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_41814,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_41779,c_44]) ).
tff(c_46,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_41791,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_41779,c_46]) ).
tff(c_41795,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41791,c_4]) ).
tff(c_41865,plain,
! [Z_431] : ( multiply(sk_c8,multiply(sk_c5,Z_431)) = multiply(identity,Z_431) ),
inference(superposition,[status(thm),theory(equality)],[c_41795,c_41841]) ).
tff(c_41887,plain,
! [Z_432] : ( multiply(sk_c8,multiply(sk_c5,Z_432)) = Z_432 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41865]) ).
tff(c_41899,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41814,c_41887]) ).
tff(c_42265,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42176,c_42176,c_41899]) ).
tff(c_43831,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_42265,c_43804]) ).
tff(c_43861,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_43831]) ).
tff(c_41913,plain,
! [Z_433] : ( multiply(sk_c8,multiply(sk_c4,Z_433)) = Z_433 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41868]) ).
tff(c_41925,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41820,c_41913]) ).
tff(c_41929,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41808,c_41925]) ).
tff(c_41967,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41929,c_41929,c_41899]) ).
tff(c_42003,plain,
! [X_435,Z_436] : ( multiply(inverse(X_435),multiply(X_435,Z_436)) = Z_436 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41874]) ).
tff(c_42021,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_41967,c_42003]) ).
tff(c_42046,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42021]) ).
tff(c_41977,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_41929,c_41778]) ).
tff(c_41992,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41977,c_4]) ).
tff(c_42073,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42046,c_41992]) ).
tff(c_41970,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41929,c_41820]) ).
tff(c_42111,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42073,c_42046,c_41970]) ).
tff(c_41904,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41808,c_68]) ).
tff(c_41905,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_41904]) ).
tff(c_41968,plain,
multiply(sk_c6,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41929,c_41905]) ).
tff(c_42143,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42111,c_42046,c_2,c_42046,c_41968]) ).
tff(c_42145,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_41904]) ).
tff(c_42266,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_42176,c_42145]) ).
tff(c_43789,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42265,c_42266]) ).
tff(c_43863,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43861,c_43789]) ).
tff(c_42391,plain,
! [X_442,Z_443] : ( multiply(inverse(X_442),multiply(X_442,Z_443)) = Z_443 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41874]) ).
tff(c_42770,plain,
! [X_448,Z_449] : ( multiply(inverse(inverse(X_448)),Z_449) = multiply(X_448,Z_449) ),
inference(superposition,[status(thm),theory(equality)],[c_42391,c_41885]) ).
tff(c_42448,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_42391]) ).
tff(c_42781,plain,
! [X_448] : ( multiply(X_448,identity) = X_448 ),
inference(superposition,[status(thm),theory(equality)],[c_42770,c_42448]) ).
tff(c_42427,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_42265,c_42391]) ).
tff(c_42457,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42427]) ).
tff(c_42327,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42265,c_42266]) ).
tff(c_42465,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42457,c_42327]) ).
tff(c_42186,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42176,c_41791]) ).
tff(c_42183,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42176,c_41814]) ).
tff(c_42144,plain,
! [X4_10,X5_6,X1_8,X2_9] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_41904]) ).
tff(c_42177,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_42144]) ).
tff(c_42240,plain,
! [X2_438] :
( ( inverse(X2_438) != sk_c6 )
| ( multiply(X2_438,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42176,c_42176,c_42177]) ).
tff(c_42243,plain,
inverse(sk_c5) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_42183,c_42240]) ).
tff(c_42262,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42186,c_42243]) ).
tff(c_42263,plain,
! [X1_8,X5_6,X4_10] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_42144]) ).
tff(c_42325,plain,
! [X1_8,X5_6,X4_10] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(sk_c6,multiply(X4_10,sk_c6)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42176,c_42176,c_42176,c_42176,c_42176,c_42176,c_42263]) ).
tff(c_42326,plain,
! [X4_10] :
( ( inverse(X4_10) != sk_c6 )
| ( multiply(sk_c6,multiply(X4_10,sk_c6)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_42325]) ).
tff(c_43785,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_42781,c_42465,c_42457,c_2,c_42457,c_42457,c_42326]) ).
tff(c_42273,plain,
multiply(sk_c6,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42176,c_41783]) ).
tff(c_42467,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42457,c_42273]) ).
tff(c_42583,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_42467,c_41885]) ).
tff(c_42595,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42583]) ).
tff(c_42275,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42176,c_41778]) ).
tff(c_42469,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42457,c_42275]) ).
tff(c_42600,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42595,c_42469]) ).
tff(c_43787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43785,c_42600]) ).
tff(c_43788,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_42325]) ).
tff(c_47814,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_44117,c_43863,c_43861,c_43861,c_44117,c_43861,c_43861,c_43861,c_43788]) ).
tff(c_47816,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_47814]) ).
tff(c_42272,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42176,c_41791]) ).
tff(c_42283,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42272,c_4]) ).
tff(c_43868,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43861,c_42283]) ).
tff(c_43969,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_43868,c_41885]) ).
tff(c_43981,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_43969]) ).
tff(c_43870,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43861,c_42272]) ).
tff(c_43986,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43981,c_43870]) ).
tff(c_47818,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47816,c_43986]) ).
tff(c_47820,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_47814]) ).
tff(c_47822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47820,c_43986]) ).
tff(c_47824,plain,
inverse(sk_c3) != sk_c6,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_58,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_47870,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_47824,c_58]) ).
tff(c_60,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_47883,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_47824,c_60]) ).
tff(c_62,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_47832,plain,
inverse(sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_47833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47824,c_47832]) ).
tff(c_47834,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_47839,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47834,c_4]) ).
tff(c_47929,plain,
! [Z_532] : ( multiply(sk_c8,multiply(sk_c4,Z_532)) = multiply(identity,Z_532) ),
inference(superposition,[status(thm),theory(equality)],[c_47839,c_47902]) ).
tff(c_47948,plain,
! [Z_533] : ( multiply(sk_c8,multiply(sk_c4,Z_533)) = Z_533 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47929]) ).
tff(c_47960,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_47883,c_47948]) ).
tff(c_47964,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47870,c_47960]) ).
tff(c_47823,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_47977,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47964,c_47823]) ).
tff(c_64,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_47877,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_47824,c_64]) ).
tff(c_47970,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47964,c_47877]) ).
tff(c_48096,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_47970,c_47946]) ).
tff(c_48102,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47977,c_48096]) ).
tff(c_48133,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_48102,c_47946]) ).
tff(c_48139,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48133]) ).
tff(c_47971,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47964,c_47870]) ).
tff(c_48078,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_47971,c_47946]) ).
tff(c_48084,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48078]) ).
tff(c_47966,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47870,c_68]) ).
tff(c_47967,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_47966]) ).
tff(c_48003,plain,
multiply(sk_c6,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47964,c_47967]) ).
tff(c_48088,plain,
multiply(sk_c6,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_48084,c_48003]) ).
tff(c_48233,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48139,c_2,c_48139,c_48088]) ).
tff(c_48235,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_47966]) ).
tff(c_48285,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47964,c_48235]) ).
tff(c_48259,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47964,c_47823]) ).
tff(c_48252,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47964,c_47877]) ).
tff(c_49136,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_48252,c_47946]) ).
tff(c_49142,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_48285,c_48259,c_49136]) ).
tff(c_48253,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47964,c_47870]) ).
tff(c_49161,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_49142,c_48253]) ).
tff(c_49165,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_49161,c_47946]) ).
tff(c_49171,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49165]) ).
tff(c_49174,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49171,c_49142]) ).
tff(c_48343,plain,
! [X_538,Z_539] : ( multiply(inverse(X_538),multiply(X_538,Z_539)) = Z_539 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47935]) ).
tff(c_48679,plain,
! [X_544,Z_545] : ( multiply(inverse(inverse(X_544)),Z_545) = multiply(X_544,Z_545) ),
inference(superposition,[status(thm),theory(equality)],[c_48343,c_47946]) ).
tff(c_48394,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_48343]) ).
tff(c_48686,plain,
! [X_544] : ( multiply(X_544,identity) = X_544 ),
inference(superposition,[status(thm),theory(equality)],[c_48679,c_48394]) ).
tff(c_48367,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_48253,c_48343]) ).
tff(c_48401,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48367]) ).
tff(c_48376,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_48252,c_48343]) ).
tff(c_48403,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_48285,c_48259,c_48376]) ).
tff(c_48411,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48401,c_48403]) ).
tff(c_48234,plain,
! [X4_10,X5_6,X1_8,X2_9] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_47966]) ).
tff(c_48293,plain,
! [X4_10,X5_6,X1_8,X2_9] :
( ( inverse(X4_10) != sk_c6 )
| ( multiply(sk_c6,multiply(X4_10,sk_c6)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47964,c_47964,c_47964,c_47964,c_47964,c_47964,c_47964,c_47964,c_48234]) ).
tff(c_48294,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_48293]) ).
tff(c_49067,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_48686,c_48411,c_48411,c_48411,c_48294]) ).
tff(c_48258,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47964,c_47834]) ).
tff(c_48418,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48411,c_48258]) ).
tff(c_48481,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48418,c_4]) ).
tff(c_48531,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_48481,c_47946]) ).
tff(c_48543,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48531]) ).
tff(c_48548,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48543,c_48418]) ).
tff(c_49069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49067,c_48548]) ).
tff(c_49070,plain,
! [X1_8,X5_6,X4_10] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(sk_c6,multiply(X4_10,sk_c6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_48293]) ).
tff(c_57049,plain,
! [X1_8,X5_6,X4_10] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49325,c_49174,c_49171,c_2,c_49171,c_49171,c_49325,c_49171,c_49171,c_49171,c_49325,c_49174,c_49171,c_49171,c_49070]) ).
tff(c_57051,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_57049]) ).
tff(c_48274,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48259,c_4]) ).
tff(c_49234,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49171,c_48274]) ).
tff(c_49179,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49171,c_48259]) ).
tff(c_49235,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49234,c_49179]) ).
tff(c_57053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57051,c_49235]) ).
tff(c_57054,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_57049]) ).
tff(c_57056,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_57054]) ).
tff(c_57058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57056,c_49235]) ).
tff(c_57457,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_57054]) ).
tff(c_57459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57457,c_49235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP365-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.18/0.35 % Computer : n005.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Thu Aug 3 21:58:12 EDT 2023
% 0.18/0.36 % CPUTime :
% 17.77/6.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.93/6.86
% 17.93/6.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.35/6.97
% 18.35/6.97 Inference rules
% 18.35/6.97 ----------------------
% 18.35/6.97 #Ref : 0
% 18.35/6.97 #Sup : 14180
% 18.35/6.97 #Fact : 0
% 18.35/6.97 #Define : 0
% 18.35/6.97 #Split : 42
% 18.35/6.97 #Chain : 0
% 18.35/6.97 #Close : 0
% 18.35/6.97
% 18.35/6.97 Ordering : KBO
% 18.35/6.97
% 18.35/6.97 Simplification rules
% 18.35/6.97 ----------------------
% 18.35/6.97 #Subsume : 17
% 18.35/6.97 #Demod : 36115
% 18.35/6.97 #Tautology : 11379
% 18.35/6.97 #SimpNegUnit : 105
% 18.35/6.97 #BackRed : 737
% 18.35/6.97
% 18.35/6.97 #Partial instantiations: 0
% 18.35/6.97 #Strategies tried : 1
% 18.35/6.97
% 18.35/6.97 Timing (in seconds)
% 18.35/6.97 ----------------------
% 18.35/6.98 Preprocessing : 0.52
% 18.35/6.98 Parsing : 0.20
% 18.35/6.98 CNF conversion : 0.03
% 18.35/6.98 Main loop : 5.22
% 18.35/6.98 Inferencing : 1.32
% 18.35/6.98 Reduction : 3.03
% 18.35/6.98 Demodulation : 2.80
% 18.35/6.98 BG Simplification : 0.12
% 18.35/6.98 Subsumption : 0.48
% 18.35/6.98 Abstraction : 0.28
% 18.35/6.98 MUC search : 0.00
% 18.35/6.98 Cooper : 0.00
% 18.35/6.98 Total : 5.92
% 18.35/6.98 Index Insertion : 0.00
% 18.35/6.98 Index Deletion : 0.00
% 18.35/6.98 Index Matching : 0.00
% 18.35/6.98 BG Taut test : 0.00
%------------------------------------------------------------------------------