TSTP Solution File: GRP281-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP281-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:46 EDT 2023
% Result : Unsatisfiable 18.75s 8.78s
% Output : CNFRefutation 19.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 44
% Syntax : Number of formulae : 806 ( 683 unt; 11 typ; 0 def)
% Number of atoms : 1094 (1050 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 662 ( 363 ~; 299 |; 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 : 394 (; 394 !; 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_68,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X3,sk_c8) != sk_c7 )
| ( inverse(X3) != sk_c8 )
| ( multiply(sk_c8,X4) != sk_c7 )
| ( multiply(X5,sk_c8) != X4 )
| ( inverse(X5) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( inverse(X2) != sk_c7 )
| ( multiply(X2,sk_c6) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_57215,plain,
! [X_664,Y_665,Z_666] : ( multiply(multiply(X_664,Y_665),Z_666) = multiply(X_664,multiply(Y_665,Z_666)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_57245,plain,
! [X_2,Z_666] : ( multiply(inverse(X_2),multiply(X_2,Z_666)) = multiply(identity,Z_666) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_57215]) ).
tff(c_57303,plain,
! [X_669,Z_670] : ( multiply(inverse(X_669),multiply(X_669,Z_670)) = Z_670 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57245]) ).
tff(c_57255,plain,
! [X_2,Z_666] : ( multiply(inverse(X_2),multiply(X_2,Z_666)) = Z_666 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57245]) ).
tff(c_58286,plain,
! [X_687,Z_688] : ( multiply(inverse(inverse(X_687)),Z_688) = multiply(X_687,Z_688) ),
inference(superposition,[status(thm),theory(equality)],[c_57303,c_57255]) ).
tff(c_57357,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_57303]) ).
tff(c_58293,plain,
! [X_687] : ( multiply(X_687,identity) = X_687 ),
inference(superposition,[status(thm),theory(equality)],[c_58286,c_57357]) ).
tff(c_54515,plain,
! [X_608,Y_609,Z_610] : ( multiply(multiply(X_608,Y_609),Z_610) = multiply(X_608,multiply(Y_609,Z_610)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_54548,plain,
! [X_2,Z_610] : ( multiply(inverse(X_2),multiply(X_2,Z_610)) = multiply(identity,Z_610) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_54515]) ).
tff(c_54943,plain,
! [X_621,Z_622] : ( multiply(inverse(X_621),multiply(X_621,Z_622)) = Z_622 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54548]) ).
tff(c_54559,plain,
! [X_2,Z_610] : ( multiply(inverse(X_2),multiply(X_2,Z_610)) = Z_610 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54548]) ).
tff(c_56155,plain,
! [X_642,Z_643] : ( multiply(inverse(inverse(X_642)),Z_643) = multiply(X_642,Z_643) ),
inference(superposition,[status(thm),theory(equality)],[c_54943,c_54559]) ).
tff(c_55012,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_54943]) ).
tff(c_56162,plain,
! [X_642] : ( multiply(X_642,identity) = X_642 ),
inference(superposition,[status(thm),theory(equality)],[c_56155,c_55012]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_111,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_22,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_18048,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_102,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_18080,plain,
! [X_220,Y_221,Z_222] : ( multiply(multiply(X_220,Y_221),Z_222) = multiply(X_220,multiply(Y_221,Z_222)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18116,plain,
! [Z_222] : ( multiply(sk_c8,multiply(sk_c1,Z_222)) = multiply(identity,Z_222) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_18080]) ).
tff(c_18136,plain,
! [Z_223] : ( multiply(sk_c8,multiply(sk_c1,Z_223)) = Z_223 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18116]) ).
tff(c_18148,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18048,c_18136]) ).
tff(c_18152,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_18148]) ).
tff(c_18161,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18152,c_111]) ).
tff(c_18122,plain,
! [X_2,Z_222] : ( multiply(inverse(X_2),multiply(X_2,Z_222)) = multiply(identity,Z_222) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18080]) ).
tff(c_18134,plain,
! [X_2,Z_222] : ( multiply(inverse(X_2),multiply(X_2,Z_222)) = Z_222 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18122]) ).
tff(c_18296,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18161,c_18134]) ).
tff(c_18302,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18296]) ).
tff(c_18225,plain,
! [X_224,Z_225] : ( multiply(inverse(X_224),multiply(X_224,Z_225)) = Z_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18122]) ).
tff(c_18511,plain,
! [X_227,Z_228] : ( multiply(inverse(inverse(X_227)),Z_228) = multiply(X_227,Z_228) ),
inference(superposition,[status(thm),theory(equality)],[c_18134,c_18225]) ).
tff(c_18264,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18225]) ).
tff(c_18518,plain,
! [X_227] : ( multiply(X_227,identity) = X_227 ),
inference(superposition,[status(thm),theory(equality)],[c_18511,c_18264]) ).
tff(c_40,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_117,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_122,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_64,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_89,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_13374,plain,
! [X_140,Y_141,Z_142] : ( multiply(multiply(X_140,Y_141),Z_142) = multiply(X_140,multiply(Y_141,Z_142)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13416,plain,
! [Z_142] : ( multiply(sk_c8,multiply(sk_c2,Z_142)) = multiply(identity,Z_142) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_13374]) ).
tff(c_13446,plain,
! [Z_144] : ( multiply(sk_c8,multiply(sk_c2,Z_144)) = Z_144 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13416]) ).
tff(c_13458,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_122,c_13446]) ).
tff(c_13462,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_117,c_13458]) ).
tff(c_13589,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13462,c_111]) ).
tff(c_20,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_127,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_20]) ).
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_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_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_127,c_198]) ).
tff(c_214,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_210]) ).
tff(c_68,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_242,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_68]) ).
tff(c_243,plain,
multiply(sk_c6,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_242]) ).
tff(c_219,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_111]) ).
tff(c_251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_243,c_219]) ).
tff(c_253,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_242]) ).
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_285,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_309,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_253,c_285]) ).
tff(c_333,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_309]) ).
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_597,plain,
! [X_21,Z_22] : ( multiply(inverse(inverse(X_21)),Z_22) = multiply(X_21,Z_22) ),
inference(superposition,[status(thm),theory(equality)],[c_196,c_285]) ).
tff(c_324,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_285]) ).
tff(c_604,plain,
! [X_21] : ( multiply(X_21,identity) = X_21 ),
inference(superposition,[status(thm),theory(equality)],[c_597,c_324]) ).
tff(c_218,plain,
multiply(sk_c6,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_117]) ).
tff(c_340,plain,
multiply(sk_c6,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_333,c_218]) ).
tff(c_223,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_85]) ).
tff(c_217,plain,
multiply(sk_c2,sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_122]) ).
tff(c_303,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_217,c_285]) ).
tff(c_331,plain,
multiply(sk_c6,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_223,c_303]) ).
tff(c_388,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_340,c_331]) ).
tff(c_252,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( multiply(sk_c7,sk_c6) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_242]) ).
tff(c_9145,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( identity != X2_9 )
| ( inverse(X2_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_333,c_604,c_388,c_333,c_388,c_604,c_388,c_333,c_604,c_388,c_2,c_388,c_333,c_388,c_604,c_388,c_333,c_388,c_2,c_333,c_252]) ).
tff(c_9147,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9145]) ).
tff(c_221,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_98]) ).
tff(c_231,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_221,c_4]) ).
tff(c_394,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_231]) ).
tff(c_449,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_394,c_2]) ).
tff(c_396,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_221]) ).
tff(c_460,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_449,c_396]) ).
tff(c_9149,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9147,c_460]) ).
tff(c_9150,plain,
! [X1_8,X5_6,X3_7] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_9145]) ).
tff(c_12558,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9150]) ).
tff(c_12560,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12558,c_460]) ).
tff(c_12561,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(splitRight,[status(thm)],[c_9150]) ).
tff(c_12563,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_12561]) ).
tff(c_12565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12563,c_460]) ).
tff(c_13314,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_12561]) ).
tff(c_13316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13314,c_460]) ).
tff(c_13317,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_13586,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13462,c_13317]) ).
tff(c_13318,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_13368,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_13318,c_22]) ).
tff(c_13582,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13462,c_13368]) ).
tff(c_13419,plain,
! [X_2,Z_142] : ( multiply(inverse(X_2),multiply(X_2,Z_142)) = multiply(identity,Z_142) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13374]) ).
tff(c_13431,plain,
! [X_2,Z_142] : ( multiply(inverse(X_2),multiply(X_2,Z_142)) = Z_142 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13419]) ).
tff(c_13732,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13582,c_13431]) ).
tff(c_13738,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13589,c_13586,c_13732]) ).
tff(c_18,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_13363,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13318,c_18]) ).
tff(c_13583,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13462,c_13363]) ).
tff(c_13843,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13738,c_13738,c_13583]) ).
tff(c_13850,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13843,c_13431]) ).
tff(c_13857,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13850]) ).
tff(c_13590,plain,
multiply(sk_c7,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13462,c_102]) ).
tff(c_13741,plain,
multiply(sk_c6,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13738,c_13590]) ).
tff(c_14007,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13857,c_13741]) ).
tff(c_13585,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13462,c_13318]) ).
tff(c_13842,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13738,c_13738,c_13585]) ).
tff(c_13861,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13857,c_13857,c_13842]) ).
tff(c_14021,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14007,c_13861]) ).
tff(c_14022,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_14027,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14022,c_4]) ).
tff(c_14484,plain,
! [X_156,Y_157,Z_158] : ( multiply(multiply(X_156,Y_157),Z_158) = multiply(X_156,multiply(Y_157,Z_158)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14526,plain,
! [X_2,Z_158] : ( multiply(inverse(X_2),multiply(X_2,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14484]) ).
tff(c_15814,plain,
! [X_183,Z_184] : ( multiply(inverse(X_183),multiply(X_183,Z_184)) = Z_184 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14526]) ).
tff(c_15868,plain,
multiply(inverse(sk_c7),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14027,c_15814]) ).
tff(c_14023,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_14462,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14023,c_56]) ).
tff(c_14511,plain,
! [Z_158] : ( multiply(sk_c7,multiply(sk_c5,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_14027,c_14484]) ).
tff(c_14589,plain,
! [Z_162] : ( multiply(sk_c7,multiply(sk_c5,Z_162)) = Z_162 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14511]) ).
tff(c_14601,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14462,c_14589]) ).
tff(c_15874,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_117,c_15814]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_14457,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14023,c_52]) ).
tff(c_14038,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_14084,plain,
! [X_150,Y_151,Z_152] : ( multiply(multiply(X_150,Y_151),Z_152) = multiply(X_150,multiply(Y_151,Z_152)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14123,plain,
! [Z_152] : ( multiply(sk_c8,multiply(sk_c1,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_14084]) ).
tff(c_14143,plain,
! [Z_153] : ( multiply(sk_c8,multiply(sk_c1,Z_153)) = Z_153 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14123]) ).
tff(c_14155,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14038,c_14143]) ).
tff(c_14159,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_14155]) ).
tff(c_14184,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14159,c_14159,c_14159,c_14159,c_14159,c_14159,c_14159,c_14159,c_14159,c_68]) ).
tff(c_14185,plain,
multiply(sk_c6,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_14184]) ).
tff(c_14168,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14159,c_111]) ).
tff(c_14216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14185,c_14168]) ).
tff(c_14218,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_14184]) ).
tff(c_14129,plain,
! [X_2,Z_152] : ( multiply(inverse(X_2),multiply(X_2,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14084]) ).
tff(c_14141,plain,
! [X_2,Z_152] : ( multiply(inverse(X_2),multiply(X_2,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14129]) ).
tff(c_14304,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14218,c_14141]) ).
tff(c_14310,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14304]) ).
tff(c_14079,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14023,c_56]) ).
tff(c_14233,plain,
! [X_154,Z_155] : ( multiply(inverse(X_154),multiply(X_154,Z_155)) = Z_155 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14129]) ).
tff(c_14263,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14079,c_14233]) ).
tff(c_14279,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14022,c_14263]) ).
tff(c_14325,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14310,c_14310,c_14279]) ).
tff(c_14329,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14325]) ).
tff(c_14167,plain,
multiply(sk_c6,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14159,c_117]) ).
tff(c_14414,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14329,c_14310,c_14167]) ).
tff(c_14172,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14159,c_85]) ).
tff(c_14222,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14172,c_4]) ).
tff(c_14394,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14329,c_14222]) ).
tff(c_14166,plain,
multiply(sk_c2,sk_c6) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_14159,c_14023]) ).
tff(c_14435,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14414,c_2,c_14394,c_14329,c_14166]) ).
tff(c_14436,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_14441,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14436,c_4]) ).
tff(c_14508,plain,
! [Z_158] : ( multiply(sk_c8,multiply(sk_c4,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_14441,c_14484]) ).
tff(c_14566,plain,
! [Z_161] : ( multiply(sk_c8,multiply(sk_c4,Z_161)) = Z_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14508]) ).
tff(c_14578,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14457,c_14566]) ).
tff(c_15838,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14578,c_15814]) ).
tff(c_16191,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_15874,c_15838]) ).
tff(c_16203,plain,
multiply(sk_c3,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16191,c_111]) ).
tff(c_14514,plain,
! [Z_158] : ( multiply(sk_c8,multiply(sk_c3,Z_158)) = multiply(sk_c7,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_117,c_14484]) ).
tff(c_16361,plain,
! [Z_191] : ( multiply(sk_c3,multiply(sk_c3,Z_191)) = multiply(sk_c7,Z_191) ),
inference(demodulation,[status(thm),theory(equality)],[c_16191,c_14514]) ).
tff(c_16392,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_16203,c_16361]) ).
tff(c_16403,plain,
multiply(sk_c3,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14601,c_16392]) ).
tff(c_16360,plain,
! [Z_158] : ( multiply(sk_c3,multiply(sk_c3,Z_158)) = multiply(sk_c7,Z_158) ),
inference(demodulation,[status(thm),theory(equality)],[c_16191,c_14514]) ).
tff(c_16407,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_16403,c_16360]) ).
tff(c_16416,plain,
multiply(sk_c7,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16403,c_16407]) ).
tff(c_14517,plain,
! [Z_158] : ( multiply(sk_c8,multiply(sk_c7,Z_158)) = multiply(sk_c6,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_14484]) ).
tff(c_16210,plain,
! [Z_158] : ( multiply(sk_c3,multiply(sk_c7,Z_158)) = multiply(sk_c6,Z_158) ),
inference(demodulation,[status(thm),theory(equality)],[c_16191,c_14517]) ).
tff(c_16421,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_16416,c_16210]) ).
tff(c_16430,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16403,c_16421]) ).
tff(c_14538,plain,
! [X_2,Z_158] : ( multiply(inverse(X_2),multiply(X_2,Z_158)) = Z_158 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14526]) ).
tff(c_16435,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16430,c_14538]) ).
tff(c_16441,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16435]) ).
tff(c_15832,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14601,c_15814]) ).
tff(c_16483,plain,
multiply(inverse(sk_c7),identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16441,c_15832]) ).
tff(c_16490,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15868,c_16483]) ).
tff(c_16202,plain,
multiply(sk_c3,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16191,c_117]) ).
tff(c_14437,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_14467,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14437,c_18]) ).
tff(c_16200,plain,
multiply(sk_c7,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16191,c_14467]) ).
tff(c_15880,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_15814]) ).
tff(c_16104,plain,
! [X_188] : ( multiply(inverse(inverse(X_188)),identity) = X_188 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15814]) ).
tff(c_16119,plain,
multiply(inverse(sk_c8),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_14436,c_16104]) ).
tff(c_16129,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_15880,c_16119]) ).
tff(c_14505,plain,
! [Z_158] : ( multiply(sk_c4,multiply(sk_c7,Z_158)) = multiply(sk_c8,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_14457,c_14484]) ).
tff(c_16444,plain,
! [Z_192] : ( multiply(sk_c1,multiply(sk_c7,Z_192)) = multiply(sk_c3,Z_192) ),
inference(demodulation,[status(thm),theory(equality)],[c_16191,c_16129,c_14505]) ).
tff(c_16462,plain,
multiply(sk_c3,sk_c3) = multiply(sk_c1,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_16200,c_16444]) ).
tff(c_16477,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16202,c_16462]) ).
tff(c_16524,plain,
multiply(sk_c1,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16490,c_16441,c_16477]) ).
tff(c_16465,plain,
multiply(sk_c3,sk_c7) = multiply(sk_c1,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_14601,c_16444]) ).
tff(c_16478,plain,
multiply(sk_c1,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16203,c_16465]) ).
tff(c_16537,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16524,c_16441,c_16441,c_16478]) ).
tff(c_16540,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16537,c_16490]) ).
tff(c_14499,plain,
! [Z_158] : ( multiply(sk_c7,multiply(sk_c8,Z_158)) = multiply(sk_c6,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_14467,c_14484]) ).
tff(c_16617,plain,
! [Z_194] : ( multiply(sk_c3,Z_194) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16540,c_2,c_16441,c_16191,c_14499]) ).
tff(c_16204,plain,
multiply(sk_c3,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16191,c_102]) ).
tff(c_16623,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_16617,c_16204]) ).
tff(c_15886,plain,
multiply(inverse(sk_c8),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_15814]) ).
tff(c_16092,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_15880,c_15886]) ).
tff(c_16094,plain,
multiply(sk_c1,sk_c8) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_16092,c_14023]) ).
tff(c_16195,plain,
multiply(sk_c1,sk_c3) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_16191,c_16094]) ).
tff(c_16641,plain,
multiply(identity,sk_c3) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_16623,c_16195]) ).
tff(c_16649,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16641]) ).
tff(c_16651,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_38,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_17128,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16651,c_38]) ).
tff(c_17209,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_17128,c_68]) ).
tff(c_17323,plain,
! [X3_210] :
( ( inverse(X3_210) != sk_c8 )
| ( multiply(X3_210,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_17209]) ).
tff(c_17330,plain,
( ( inverse(sk_c7) != sk_c8 )
| ( sk_c7 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_17128,c_17323]) ).
tff(c_17359,plain,
sk_c7 != sk_c6,
inference(splitLeft,[status(thm)],[c_17330]) ).
tff(c_16659,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_17139,plain,
! [X_203,Y_204,Z_205] : ( multiply(multiply(X_203,Y_204),Z_205) = multiply(X_203,multiply(Y_204,Z_205)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17178,plain,
! [Z_205] : ( multiply(sk_c8,multiply(sk_c2,Z_205)) = multiply(identity,Z_205) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_17139]) ).
tff(c_17211,plain,
! [Z_207] : ( multiply(sk_c8,multiply(sk_c2,Z_207)) = Z_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17178]) ).
tff(c_17223,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16659,c_17211]) ).
tff(c_17181,plain,
! [X_2,Z_205] : ( multiply(inverse(X_2),multiply(X_2,Z_205)) = multiply(identity,Z_205) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17139]) ).
tff(c_17384,plain,
! [X_212,Z_213] : ( multiply(inverse(X_212),multiply(X_212,Z_213)) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17181]) ).
tff(c_17429,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_17223,c_17384]) ).
tff(c_17489,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17429]) ).
tff(c_17235,plain,
! [Z_208] : ( multiply(sk_c2,multiply(sk_c8,Z_208)) = multiply(sk_c3,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_16659,c_17139]) ).
tff(c_17265,plain,
multiply(sk_c3,sk_c1) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_102,c_17235]) ).
tff(c_17501,plain,
multiply(sk_c2,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_17489,c_17265]) ).
tff(c_17509,plain,
multiply(sk_c2,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17501]) ).
tff(c_17268,plain,
multiply(sk_c3,sk_c2) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_89,c_17235]) ).
tff(c_17500,plain,
multiply(sk_c2,identity) = multiply(identity,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_17489,c_17268]) ).
tff(c_17508,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17500]) ).
tff(c_17660,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_17509,c_17508]) ).
tff(c_17262,plain,
multiply(sk_c3,sk_c7) = multiply(sk_c2,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_111,c_17235]) ).
tff(c_17499,plain,
multiply(sk_c2,sk_c6) = multiply(identity,sk_c7),
inference(demodulation,[status(thm),theory(equality)],[c_17489,c_17262]) ).
tff(c_17507,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17499]) ).
tff(c_17678,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17660,c_17507]) ).
tff(c_24,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_16670,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_16717,plain,
! [X_195,Y_196,Z_197] : ( multiply(multiply(X_195,Y_196),Z_197) = multiply(X_195,multiply(Y_196,Z_197)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16756,plain,
! [Z_197] : ( multiply(sk_c8,multiply(sk_c1,Z_197)) = multiply(identity,Z_197) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_16717]) ).
tff(c_16776,plain,
! [Z_198] : ( multiply(sk_c8,multiply(sk_c1,Z_198)) = Z_198 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16756]) ).
tff(c_16788,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16670,c_16776]) ).
tff(c_16792,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_16788]) ).
tff(c_16810,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16792,c_16792,c_16792,c_16792,c_16792,c_16792,c_16792,c_16792,c_16792,c_68]) ).
tff(c_16811,plain,
multiply(sk_c6,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_16810]) ).
tff(c_16801,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16792,c_111]) ).
tff(c_16833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16811,c_16801]) ).
tff(c_16835,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_16810]) ).
tff(c_16762,plain,
! [X_2,Z_197] : ( multiply(inverse(X_2),multiply(X_2,Z_197)) = multiply(identity,Z_197) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16717]) ).
tff(c_16774,plain,
! [X_2,Z_197] : ( multiply(inverse(X_2),multiply(X_2,Z_197)) = Z_197 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16762]) ).
tff(c_16940,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16835,c_16774]) ).
tff(c_16946,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16940]) ).
tff(c_44,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_16678,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16651,c_44]) ).
tff(c_46,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_16701,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16651,c_46]) ).
tff(c_16836,plain,
! [X_199,Z_200] : ( multiply(inverse(X_199),multiply(X_199,Z_200)) = Z_200 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16762]) ).
tff(c_16857,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16701,c_16836]) ).
tff(c_16873,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16678,c_16857]) ).
tff(c_16950,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16946,c_16946,c_16873]) ).
tff(c_16954,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16950]) ).
tff(c_16805,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16792,c_85]) ).
tff(c_16982,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16954,c_16805]) ).
tff(c_16798,plain,
multiply(sk_c2,sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_16792,c_16659]) ).
tff(c_17064,plain,
multiply(sk_c2,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_16954,c_16798]) ).
tff(c_17068,plain,
multiply(inverse(sk_c2),sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17064,c_16774]) ).
tff(c_17074,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16982,c_17068]) ).
tff(c_16799,plain,
multiply(sk_c6,sk_c3) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16792,c_16651]) ).
tff(c_17090,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17074,c_2,c_16954,c_16946,c_16799]) ).
tff(c_17091,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_17092,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_26,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_17114,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_17092,c_26]) ).
tff(c_17447,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17114,c_17384]) ).
tff(c_17491,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17091,c_17447]) ).
tff(c_17677,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_17660,c_17509]) ).
tff(c_16650,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_16655,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16650,c_4]) ).
tff(c_17259,plain,
multiply(sk_c3,sk_c4) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_16655,c_17235]) ).
tff(c_17497,plain,
multiply(sk_c2,identity) = multiply(identity,sk_c4),
inference(demodulation,[status(thm),theory(equality)],[c_17489,c_17259]) ).
tff(c_17506,plain,
multiply(sk_c2,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17497]) ).
tff(c_17778,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_17677,c_17660,c_17506]) ).
tff(c_42,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_17119,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16651,c_42]) ).
tff(c_17157,plain,
! [Z_205] : ( multiply(sk_c4,multiply(sk_c7,Z_205)) = multiply(sk_c8,Z_205) ),
inference(superposition,[status(thm),theory(equality)],[c_17119,c_17139]) ).
tff(c_17806,plain,
! [Z_217] : ( multiply(sk_c1,multiply(sk_c7,Z_217)) = multiply(sk_c8,Z_217) ),
inference(demodulation,[status(thm),theory(equality)],[c_17778,c_17157]) ).
tff(c_17824,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c1,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_17491,c_17806]) ).
tff(c_17838,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17678,c_111,c_17824]) ).
tff(c_17840,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17359,c_17838]) ).
tff(c_17842,plain,
sk_c7 = sk_c6,
inference(splitRight,[status(thm)],[c_17330]) ).
tff(c_17227,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17223,c_16651]) ).
tff(c_17848,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17842,c_17227]) ).
tff(c_17096,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17091,c_4]) ).
tff(c_17852,plain,
multiply(sk_c6,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17842,c_17096]) ).
tff(c_17172,plain,
! [Z_205] : ( multiply(sk_c8,multiply(sk_c7,Z_205)) = multiply(sk_c6,Z_205) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_17139]) ).
tff(c_17860,plain,
! [Z_205] : ( multiply(sk_c8,multiply(sk_c6,Z_205)) = multiply(sk_c6,Z_205) ),
inference(demodulation,[status(thm),theory(equality)],[c_17842,c_17172]) ).
tff(c_17888,plain,
multiply(sk_c8,identity) = multiply(sk_c6,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_17852,c_17860]) ).
tff(c_17894,plain,
multiply(sk_c8,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17852,c_17888]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17943,plain,
! [Z_5] : ( multiply(sk_c8,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_17894,c_6]) ).
tff(c_17964,plain,
! [Z_219] : ( multiply(sk_c8,Z_219) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_17943]) ).
tff(c_17850,plain,
multiply(sk_c4,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_17842,c_17119]) ).
tff(c_17166,plain,
! [Z_205] : ( multiply(sk_c8,multiply(sk_c4,Z_205)) = multiply(identity,Z_205) ),
inference(superposition,[status(thm),theory(equality)],[c_16655,c_17139]) ).
tff(c_17190,plain,
! [Z_205] : ( multiply(sk_c8,multiply(sk_c4,Z_205)) = Z_205 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17166]) ).
tff(c_17907,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17850,c_17190]) ).
tff(c_17970,plain,
sk_c8 = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17964,c_17907]) ).
tff(c_18018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17848,c_17970]) ).
tff(c_18019,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_18020,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_18070,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18020,c_56]) ).
tff(c_18255,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18070,c_18225]) ).
tff(c_18271,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18019,c_18255]) ).
tff(c_18317,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18302,c_18302,c_18271]) ).
tff(c_18321,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18317]) ).
tff(c_18170,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18152,c_18152,c_18152,c_18152,c_18152,c_18152,c_18152,c_18152,c_18152,c_68]) ).
tff(c_18171,plain,
multiply(sk_c6,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_18170]) ).
tff(c_18201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18171,c_18161]) ).
tff(c_18202,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( multiply(sk_c7,sk_c6) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_18170]) ).
tff(c_26595,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( identity != X2_9 )
| ( inverse(X2_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18302,c_18518,c_18321,c_18302,c_18321,c_18518,c_18321,c_18302,c_18518,c_18321,c_2,c_18321,c_18302,c_18321,c_18518,c_18321,c_18302,c_18321,c_2,c_18302,c_18202]) ).
tff(c_26597,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_26595]) ).
tff(c_18162,plain,
multiply(sk_c6,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18152,c_102]) ).
tff(c_18380,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18321,c_18162]) ).
tff(c_18163,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18152,c_98]) ).
tff(c_18329,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18321,c_18163]) ).
tff(c_18381,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18380,c_18329]) ).
tff(c_26599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26597,c_18381]) ).
tff(c_26600,plain,
! [X1_8,X5_6,X3_7] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_26595]) ).
tff(c_32551,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_26600]) ).
tff(c_32553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32551,c_18381]) ).
tff(c_32554,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(splitRight,[status(thm)],[c_26600]) ).
tff(c_32556,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_32554]) ).
tff(c_32558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32556,c_18381]) ).
tff(c_33364,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_32554]) ).
tff(c_33366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33364,c_18381]) ).
tff(c_33368,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_33373,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_33368,c_26]) ).
tff(c_18024,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18019,c_4]) ).
tff(c_33398,plain,
! [X_358,Y_359,Z_360] : ( multiply(multiply(X_358,Y_359),Z_360) = multiply(X_358,multiply(Y_359,Z_360)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33425,plain,
! [Z_360] : ( multiply(sk_c7,multiply(sk_c5,Z_360)) = multiply(identity,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_18024,c_33398]) ).
tff(c_34246,plain,
! [Z_380] : ( multiply(sk_c7,multiply(sk_c5,Z_380)) = Z_380 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33425]) ).
tff(c_34261,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_33373,c_34246]) ).
tff(c_33367,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_34753,plain,
! [Z_387] : ( multiply(sk_c4,multiply(sk_c7,Z_387)) = multiply(sk_c8,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_33367,c_33398]) ).
tff(c_34777,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_34261,c_34753]) ).
tff(c_34792,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_34777]) ).
tff(c_33422,plain,
! [Z_360] : ( multiply(sk_c8,multiply(sk_c4,Z_360)) = multiply(identity,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_16655,c_33398]) ).
tff(c_34041,plain,
! [Z_376] : ( multiply(sk_c8,multiply(sk_c4,Z_376)) = Z_376 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33422]) ).
tff(c_34053,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33367,c_34041]) ).
tff(c_48,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_33381,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_18020,c_48]) ).
tff(c_34783,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_33381,c_34753]) ).
tff(c_34793,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34053,c_34783]) ).
tff(c_34805,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34792,c_34793]) ).
tff(c_34828,plain,
multiply(sk_c4,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34805,c_33367]) ).
tff(c_34834,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34792,c_34828]) ).
tff(c_34846,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34834,c_16650]) ).
tff(c_34412,plain,
! [Z_382] : ( multiply(sk_c4,multiply(sk_c7,Z_382)) = multiply(sk_c8,Z_382) ),
inference(superposition,[status(thm),theory(equality)],[c_33367,c_33398]) ).
tff(c_34433,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_34261,c_34412]) ).
tff(c_34447,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_34433]) ).
tff(c_34439,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_33381,c_34412]) ).
tff(c_34448,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34053,c_34439]) ).
tff(c_34474,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34447,c_34448]) ).
tff(c_34497,plain,
multiply(sk_c4,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34474,c_33367]) ).
tff(c_34503,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34447,c_34497]) ).
tff(c_34284,plain,
! [Z_381] : ( multiply(sk_c7,multiply(sk_c8,Z_381)) = multiply(sk_c6,Z_381) ),
inference(superposition,[status(thm),theory(equality)],[c_33381,c_33398]) ).
tff(c_34305,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_34053,c_34284]) ).
tff(c_34333,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34261,c_34305]) ).
tff(c_34508,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34503,c_34333]) ).
tff(c_33437,plain,
! [X_2,Z_360] : ( multiply(inverse(X_2),multiply(X_2,Z_360)) = multiply(identity,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33398]) ).
tff(c_34592,plain,
! [X_384,Z_385] : ( multiply(inverse(X_384),multiply(X_384,Z_385)) = Z_385 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33437]) ).
tff(c_34610,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34508,c_34592]) ).
tff(c_34644,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34610]) ).
tff(c_34517,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34503,c_98]) ).
tff(c_34551,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34517,c_4]) ).
tff(c_34672,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34644,c_34551]) ).
tff(c_34660,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34644,c_34517]) ).
tff(c_34700,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34672,c_34660]) ).
tff(c_33538,plain,
! [Z_365] : ( multiply(sk_c7,multiply(sk_c5,Z_365)) = Z_365 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33425]) ).
tff(c_33553,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_33373,c_33538]) ).
tff(c_33452,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_33381,c_68]) ).
tff(c_33567,plain,
! [X3_366] :
( ( inverse(X3_366) != sk_c8 )
| ( multiply(X3_366,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_33452]) ).
tff(c_33585,plain,
( ( inverse(identity) != sk_c8 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_33567]) ).
tff(c_33587,plain,
sk_c8 != sk_c7,
inference(splitLeft,[status(thm)],[c_33585]) ).
tff(c_33449,plain,
! [X_2,Z_360] : ( multiply(inverse(X_2),multiply(X_2,Z_360)) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33437]) ).
tff(c_33428,plain,
! [Z_360] : ( multiply(sk_c8,multiply(sk_c7,Z_360)) = multiply(sk_c6,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_33398]) ).
tff(c_33560,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_33553,c_33428]) ).
tff(c_33496,plain,
! [Z_364] : ( multiply(sk_c8,multiply(sk_c7,Z_364)) = multiply(sk_c6,Z_364) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_33398]) ).
tff(c_33508,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_33381,c_33496]) ).
tff(c_33590,plain,
multiply(sk_c6,sk_c8) = multiply(sk_c6,sk_c7),
inference(demodulation,[status(thm),theory(equality)],[c_33560,c_33508]) ).
tff(c_33610,plain,
! [X_367,Z_368] : ( multiply(inverse(X_367),multiply(X_367,Z_368)) = Z_368 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33437]) ).
tff(c_33628,plain,
multiply(inverse(sk_c6),multiply(sk_c6,sk_c7)) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33590,c_33610]) ).
tff(c_33704,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33449,c_33628]) ).
tff(c_33706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33587,c_33704]) ).
tff(c_33708,plain,
sk_c8 = sk_c7,
inference(splitRight,[status(thm)],[c_33585]) ).
tff(c_33480,plain,
! [Z_363] : ( multiply(sk_c8,multiply(sk_c4,Z_363)) = Z_363 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33422]) ).
tff(c_33492,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33367,c_33480]) ).
tff(c_33713,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33708,c_33708,c_33492]) ).
tff(c_33730,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33553,c_33713]) ).
tff(c_33737,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33730,c_33708]) ).
tff(c_33707,plain,
inverse(identity) != sk_c8,
inference(splitRight,[status(thm)],[c_33585]) ).
tff(c_33777,plain,
inverse(identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33737,c_33707]) ).
tff(c_33742,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33730,c_18019]) ).
tff(c_33790,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33742,c_4]) ).
tff(c_33511,plain,
multiply(sk_c8,identity) = multiply(sk_c6,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_18024,c_33496]) ).
tff(c_33711,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c5),
inference(demodulation,[status(thm),theory(equality)],[c_33708,c_33511]) ).
tff(c_33866,plain,
multiply(sk_c6,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33790,c_33730,c_33711]) ).
tff(c_33870,plain,
! [Z_5] : ( multiply(sk_c6,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_33866,c_6]) ).
tff(c_33878,plain,
! [Z_370] : ( multiply(sk_c6,Z_370) = Z_370 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_33870]) ).
tff(c_33914,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_33790,c_33878]) ).
tff(c_33990,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33914,c_33742]) ).
tff(c_33994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33777,c_33990]) ).
tff(c_33995,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_33452]) ).
tff(c_34219,plain,
! [X2_379] :
( ( multiply(X2_379,sk_c6) != sk_c7 )
| ( inverse(X2_379) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_33995]) ).
tff(c_34232,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33373,c_34219]) ).
tff(c_34244,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18019,c_34232]) ).
tff(c_34245,plain,
! [X1_8,X5_6] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_33995]) ).
tff(c_34384,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_34245]) ).
tff(c_34524,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34503,c_34503,c_34474,c_34503,c_34384]) ).
tff(c_34582,plain,
( ( inverse(sk_c6) != sk_c6 )
| ( multiply(sk_c6,sk_c6) != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_34508,c_34524]) ).
tff(c_34589,plain,
inverse(sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34508,c_34582]) ).
tff(c_34655,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34644,c_34644,c_34589]) ).
tff(c_34742,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34700,c_34655]) ).
tff(c_34743,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_34245]) ).
tff(c_34863,plain,
! [X1_388] :
( ( multiply(X1_388,sk_c6) != sk_c6 )
| ( inverse(X1_388) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34834,c_34834,c_34805,c_34743]) ).
tff(c_34879,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34792,c_34863]) ).
tff(c_34903,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34846,c_34879]) ).
tff(c_34905,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_34904,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_34920,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34905,c_14]) ).
tff(c_34951,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_34973,plain,
! [X_389,Y_390,Z_391] : ( multiply(multiply(X_389,Y_390),Z_391) = multiply(X_389,multiply(Y_390,Z_391)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35009,plain,
! [Z_391] : ( multiply(sk_c8,multiply(sk_c1,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_34973]) ).
tff(c_35029,plain,
! [Z_392] : ( multiply(sk_c8,multiply(sk_c1,Z_392)) = Z_392 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35009]) ).
tff(c_35041,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34951,c_35029]) ).
tff(c_35045,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35041,c_34905]) ).
tff(c_35015,plain,
! [X_2,Z_391] : ( multiply(inverse(X_2),multiply(X_2,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34973]) ).
tff(c_35128,plain,
! [X_397,Z_398] : ( multiply(inverse(X_397),multiply(X_397,Z_398)) = Z_398 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35015]) ).
tff(c_35164,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35041,c_35128]) ).
tff(c_35219,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35164]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_34961,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34905,c_16]) ).
tff(c_34924,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34920,c_4]) ).
tff(c_35003,plain,
! [Z_391] : ( multiply(sk_c7,multiply(sk_c5,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_34924,c_34973]) ).
tff(c_35082,plain,
! [Z_395] : ( multiply(sk_c7,multiply(sk_c5,Z_395)) = Z_395 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35003]) ).
tff(c_35094,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34961,c_35082]) ).
tff(c_35227,plain,
! [Z_399] : ( multiply(sk_c1,multiply(sk_c8,Z_399)) = multiply(sk_c7,Z_399) ),
inference(superposition,[status(thm),theory(equality)],[c_34951,c_34973]) ).
tff(c_35257,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_35041,c_35227]) ).
tff(c_35278,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35094,c_34951,c_35257]) ).
tff(c_35299,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35219,c_35278]) ).
tff(c_8,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_34941,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_34905,c_8]) ).
tff(c_35054,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( sk_c8 != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35041,c_34941,c_68]) ).
tff(c_35055,plain,
sk_c8 != sk_c6,
inference(splitLeft,[status(thm)],[c_35054]) ).
tff(c_35300,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35299,c_35055]) ).
tff(c_35284,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35219,c_35041]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_34956,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34905,c_12]) ).
tff(c_34909,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34904,c_4]) ).
tff(c_35006,plain,
! [Z_391] : ( multiply(sk_c8,multiply(sk_c4,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_34909,c_34973]) ).
tff(c_35105,plain,
! [Z_396] : ( multiply(sk_c8,multiply(sk_c4,Z_396)) = Z_396 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35006]) ).
tff(c_35117,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34956,c_35105]) ).
tff(c_35245,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c1,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_35117,c_35227]) ).
tff(c_35277,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34941,c_35245]) ).
tff(c_35452,plain,
multiply(sk_c1,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35299,c_35219,c_35277]) ).
tff(c_35027,plain,
! [X_2,Z_391] : ( multiply(inverse(X_2),multiply(X_2,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35015]) ).
tff(c_35456,plain,
multiply(inverse(sk_c1),identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35452,c_35027]) ).
tff(c_35465,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35284,c_98,c_35456]) ).
tff(c_35467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35300,c_35465]) ).
tff(c_35469,plain,
sk_c8 = sk_c6,
inference(splitRight,[status(thm)],[c_35054]) ).
tff(c_35470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35045,c_35469]) ).
tff(c_35472,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_35482,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_35472,c_26]) ).
tff(c_35497,plain,
! [X_402,Y_403,Z_404] : ( multiply(multiply(X_402,Y_403),Z_404) = multiply(X_402,multiply(Y_403,Z_404)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35539,plain,
! [X_2,Z_404] : ( multiply(inverse(X_2),multiply(X_2,Z_404)) = multiply(identity,Z_404) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35497]) ).
tff(c_35624,plain,
! [X_407,Z_408] : ( multiply(inverse(X_407),multiply(X_407,Z_408)) = Z_408 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35539]) ).
tff(c_35654,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_35482,c_35624]) ).
tff(c_35670,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34920,c_35654]) ).
tff(c_34946,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_35477,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_35536,plain,
! [Z_404] : ( multiply(sk_c8,multiply(sk_c2,Z_404)) = multiply(identity,Z_404) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_35497]) ).
tff(c_35568,plain,
! [Z_406] : ( multiply(sk_c8,multiply(sk_c2,Z_406)) = Z_406 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35536]) ).
tff(c_35580,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35477,c_35568]) ).
tff(c_35584,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34946,c_35580]) ).
tff(c_35594,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35584,c_34904]) ).
tff(c_35471,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_35589,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35584,c_35471]) ).
tff(c_35551,plain,
! [X_2,Z_404] : ( multiply(inverse(X_2),multiply(X_2,Z_404)) = Z_404 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35539]) ).
tff(c_35725,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35589,c_35551]) ).
tff(c_35731,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35670,c_35594,c_35725]) ).
tff(c_35591,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35584,c_34941]) ).
tff(c_35841,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35731,c_35731,c_35591]) ).
tff(c_35848,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_35841,c_35551]) ).
tff(c_35854,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35848]) ).
tff(c_35866,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35854,c_35731]) ).
tff(c_35593,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35584,c_34905]) ).
tff(c_35956,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35866,c_2,c_35866,c_35854,c_35593]) ).
tff(c_35957,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_35977,plain,
! [X_411,Y_412,Z_413] : ( multiply(multiply(X_411,Y_412),Z_413) = multiply(X_411,multiply(Y_412,Z_413)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36004,plain,
! [Z_413] : ( multiply(sk_c7,multiply(sk_c5,Z_413)) = multiply(identity,Z_413) ),
inference(superposition,[status(thm),theory(equality)],[c_34924,c_35977]) ).
tff(c_36056,plain,
! [Z_416] : ( multiply(sk_c7,multiply(sk_c5,Z_416)) = Z_416 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36004]) ).
tff(c_36068,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_35957,c_36056]) ).
tff(c_36007,plain,
! [Z_413] : ( multiply(sk_c8,multiply(sk_c4,Z_413)) = multiply(identity,Z_413) ),
inference(superposition,[status(thm),theory(equality)],[c_34909,c_35977]) ).
tff(c_36081,plain,
! [Z_417] : ( multiply(sk_c8,multiply(sk_c4,Z_417)) = Z_417 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36007]) ).
tff(c_36093,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35471,c_36081]) ).
tff(c_36346,plain,
! [Z_423] : ( multiply(sk_c7,multiply(sk_c8,Z_423)) = multiply(sk_c6,Z_423) ),
inference(superposition,[status(thm),theory(equality)],[c_34941,c_35977]) ).
tff(c_36364,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_36093,c_36346]) ).
tff(c_36377,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36068,c_36364]) ).
tff(c_36016,plain,
! [X_2,Z_413] : ( multiply(inverse(X_2),multiply(X_2,Z_413)) = multiply(identity,Z_413) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35977]) ).
tff(c_36028,plain,
! [X_2,Z_413] : ( multiply(inverse(X_2),multiply(X_2,Z_413)) = Z_413 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36016]) ).
tff(c_36403,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36377,c_36028]) ).
tff(c_36409,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36403]) ).
tff(c_36453,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36409,c_36409,c_36093]) ).
tff(c_36463,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36453]) ).
tff(c_36457,plain,
multiply(identity,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36409,c_34905]) ).
tff(c_36464,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36457]) ).
tff(c_36485,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36463,c_36464]) ).
tff(c_36475,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36463,c_36463,c_36068]) ).
tff(c_36480,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36475]) ).
tff(c_36511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36485,c_36480]) ).
tff(c_36512,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_36539,plain,
! [X_426,Y_427,Z_428] : ( multiply(multiply(X_426,Y_427),Z_428) = multiply(X_426,multiply(Y_427,Z_428)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36569,plain,
! [Z_428] : ( multiply(sk_c8,multiply(sk_c4,Z_428)) = multiply(identity,Z_428) ),
inference(superposition,[status(thm),theory(equality)],[c_34909,c_36539]) ).
tff(c_36631,plain,
! [Z_431] : ( multiply(sk_c8,multiply(sk_c4,Z_431)) = Z_431 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36569]) ).
tff(c_36643,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36512,c_36631]) ).
tff(c_36987,plain,
! [Z_437] : ( multiply(sk_c4,multiply(sk_c7,Z_437)) = multiply(sk_c8,Z_437) ),
inference(superposition,[status(thm),theory(equality)],[c_36512,c_36539]) ).
tff(c_37011,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_34941,c_36987]) ).
tff(c_37019,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36643,c_37011]) ).
tff(c_36578,plain,
! [X_2,Z_428] : ( multiply(inverse(X_2),multiply(X_2,Z_428)) = multiply(identity,Z_428) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36539]) ).
tff(c_36590,plain,
! [X_2,Z_428] : ( multiply(inverse(X_2),multiply(X_2,Z_428)) = Z_428 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36578]) ).
tff(c_37023,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37019,c_36590]) ).
tff(c_37032,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34904,c_37023]) ).
tff(c_37034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34905,c_37032]) ).
tff(c_37036,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_37080,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_37036,c_36]) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_37044,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_37036,c_34]) ).
tff(c_37048,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37044,c_4]) ).
tff(c_37098,plain,
! [X_438,Y_439,Z_440] : ( multiply(multiply(X_438,Y_439),Z_440) = multiply(X_438,multiply(Y_439,Z_440)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37122,plain,
! [Z_440] : ( multiply(sk_c7,multiply(sk_c5,Z_440)) = multiply(identity,Z_440) ),
inference(superposition,[status(thm),theory(equality)],[c_37048,c_37098]) ).
tff(c_37147,plain,
! [Z_441] : ( multiply(sk_c7,multiply(sk_c5,Z_441)) = Z_441 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37122]) ).
tff(c_37159,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37080,c_37147]) ).
tff(c_37035,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_37061,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_37036,c_32]) ).
tff(c_37131,plain,
! [X_2,Z_440] : ( multiply(inverse(X_2),multiply(X_2,Z_440)) = multiply(identity,Z_440) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37098]) ).
tff(c_37199,plain,
! [X_444,Z_445] : ( multiply(inverse(X_444),multiply(X_444,Z_445)) = Z_445 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37131]) ).
tff(c_37238,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37061,c_37199]) ).
tff(c_37267,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_37035,c_37238]) ).
tff(c_28,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_37070,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_37036,c_28]) ).
tff(c_37402,plain,
! [Z_448] : ( multiply(sk_c7,multiply(sk_c8,Z_448)) = multiply(sk_c6,Z_448) ),
inference(superposition,[status(thm),theory(equality)],[c_37070,c_37098]) ).
tff(c_37417,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_37267,c_37402]) ).
tff(c_37427,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37159,c_37417]) ).
tff(c_37142,plain,
! [X_2,Z_440] : ( multiply(inverse(X_2),multiply(X_2,Z_440)) = Z_440 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37131]) ).
tff(c_37431,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37427,c_37142]) ).
tff(c_37437,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37431]) ).
tff(c_37444,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_37437,c_37437,c_37267]) ).
tff(c_37453,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37444]) ).
tff(c_37496,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37453,c_37453,c_37159]) ).
tff(c_37502,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37496]) ).
tff(c_37145,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37070,c_68]) ).
tff(c_37146,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_37145]) ).
tff(c_37446,plain,
multiply(identity,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37437,c_37146]) ).
tff(c_37454,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37446]) ).
tff(c_37516,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37502,c_37453,c_37454]) ).
tff(c_37518,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_37145]) ).
tff(c_37526,plain,
! [Z_450] : ( multiply(sk_c7,multiply(sk_c5,Z_450)) = Z_450 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37122]) ).
tff(c_37538,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37080,c_37526]) ).
tff(c_37676,plain,
! [Z_455] : ( multiply(sk_c4,multiply(sk_c7,Z_455)) = multiply(sk_c8,Z_455) ),
inference(superposition,[status(thm),theory(equality)],[c_37061,c_37098]) ).
tff(c_37691,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_37538,c_37676]) ).
tff(c_37704,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37518,c_37691]) ).
tff(c_37040,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37035,c_4]) ).
tff(c_37125,plain,
! [Z_440] : ( multiply(sk_c8,multiply(sk_c4,Z_440)) = multiply(identity,Z_440) ),
inference(superposition,[status(thm),theory(equality)],[c_37040,c_37098]) ).
tff(c_37549,plain,
! [Z_451] : ( multiply(sk_c8,multiply(sk_c4,Z_451)) = Z_451 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37125]) ).
tff(c_37561,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37061,c_37549]) ).
tff(c_37697,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_37070,c_37676]) ).
tff(c_37705,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_37561,c_37697]) ).
tff(c_37717,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37704,c_37705]) ).
tff(c_37738,plain,
multiply(sk_c4,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37717,c_37061]) ).
tff(c_37741,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37704,c_37738]) ).
tff(c_37731,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37717,c_37561]) ).
tff(c_38484,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37741,c_37741,c_37731]) ).
tff(c_38488,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_38484,c_37142]) ).
tff(c_38494,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38488]) ).
tff(c_38440,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_37131]) ).
tff(c_38607,plain,
! [X_473,Z_474] : ( multiply(inverse(inverse(X_473)),Z_474) = multiply(X_473,Z_474) ),
inference(superposition,[status(thm),theory(equality)],[c_37142,c_38440]) ).
tff(c_38476,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38440]) ).
tff(c_38614,plain,
! [X_473] : ( multiply(X_473,identity) = X_473 ),
inference(superposition,[status(thm),theory(equality)],[c_38607,c_38476]) ).
tff(c_37815,plain,
! [X_456,Z_457] : ( multiply(inverse(X_456),multiply(X_456,Z_457)) = Z_457 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37131]) ).
tff(c_38030,plain,
! [X_460,Z_461] : ( multiply(inverse(inverse(X_460)),Z_461) = multiply(X_460,Z_461) ),
inference(superposition,[status(thm),theory(equality)],[c_37142,c_37815]) ).
tff(c_37860,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37815]) ).
tff(c_38037,plain,
! [X_460] : ( multiply(X_460,identity) = X_460 ),
inference(superposition,[status(thm),theory(equality)],[c_38030,c_37860]) ).
tff(c_37735,plain,
multiply(sk_c8,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37717,c_37518]) ).
tff(c_37797,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37741,c_37735]) ).
tff(c_37836,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37797,c_37815]) ).
tff(c_37867,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37836]) ).
tff(c_37517,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_37145]) ).
tff(c_37644,plain,
! [X2_454] :
( ( multiply(X2_454,sk_c6) != sk_c7 )
| ( inverse(X2_454) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_37517]) ).
tff(c_37654,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37080,c_37644]) ).
tff(c_37666,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37044,c_37654]) ).
tff(c_37667,plain,
! [X1_8,X5_6,X3_7] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_37517]) ).
tff(c_37765,plain,
! [X1_8,X5_6,X3_7] :
( ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37741,c_37717,c_37741,c_37741,c_37741,c_37717,c_37741,c_37741,c_37741,c_37717,c_37667]) ).
tff(c_37766,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_37765]) ).
tff(c_38414,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_38037,c_37867,c_37867,c_37867,c_37766]) ).
tff(c_37751,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37741,c_37035]) ).
tff(c_37777,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37751,c_4]) ).
tff(c_37893,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37867,c_37777]) ).
tff(c_37874,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37867,c_37751]) ).
tff(c_37908,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37893,c_37874]) ).
tff(c_38416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38414,c_37908]) ).
tff(c_38417,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_37765]) ).
tff(c_54427,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38494,c_38614,c_38494,c_38494,c_38614,c_38494,c_38494,c_2,c_38494,c_38494,c_38417]) ).
tff(c_54429,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_54427]) ).
tff(c_37740,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37717,c_37044]) ).
tff(c_37761,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37740,c_4]) ).
tff(c_38514,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38494,c_37761]) ).
tff(c_38501,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38494,c_37740]) ).
tff(c_38533,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38514,c_38501]) ).
tff(c_54431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54429,c_38533]) ).
tff(c_54433,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_54427]) ).
tff(c_54435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54433,c_38533]) ).
tff(c_54437,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_66,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_54494,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_54437,c_66]) ).
tff(c_54436,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_54441,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54436,c_4]) ).
tff(c_54545,plain,
! [Z_610] : ( multiply(sk_c7,multiply(sk_c5,Z_610)) = multiply(identity,Z_610) ),
inference(superposition,[status(thm),theory(equality)],[c_54441,c_54515]) ).
tff(c_54904,plain,
! [Z_619] : ( multiply(sk_c7,multiply(sk_c5,Z_619)) = Z_619 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54545]) ).
tff(c_54919,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_54494,c_54904]) ).
tff(c_54964,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_54919,c_54943]) ).
tff(c_58,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_54483,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_54437,c_58]) ).
tff(c_54991,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_54483,c_54943]) ).
tff(c_55482,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_54964,c_54991]) ).
tff(c_62,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_54489,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_54437,c_62]) ).
tff(c_60,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_54445,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_54446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54437,c_54445]) ).
tff(c_54447,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_54452,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54447,c_4]) ).
tff(c_54542,plain,
! [Z_610] : ( multiply(sk_c8,multiply(sk_c4,Z_610)) = multiply(identity,Z_610) ),
inference(superposition,[status(thm),theory(equality)],[c_54452,c_54515]) ).
tff(c_54561,plain,
! [Z_611] : ( multiply(sk_c8,multiply(sk_c4,Z_611)) = Z_611 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54542]) ).
tff(c_54573,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_54489,c_54561]) ).
tff(c_55497,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_55482,c_55482,c_54573]) ).
tff(c_55504,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_54919,c_55497]) ).
tff(c_55512,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_55504,c_55504,c_54964]) ).
tff(c_55520,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55512]) ).
tff(c_55647,plain,
! [X_631,Z_632] : ( multiply(inverse(inverse(X_631)),Z_632) = multiply(X_631,Z_632) ),
inference(superposition,[status(thm),theory(equality)],[c_54943,c_54559]) ).
tff(c_55654,plain,
! [X_631] : ( multiply(X_631,identity) = X_631 ),
inference(superposition,[status(thm),theory(equality)],[c_55647,c_55012]) ).
tff(c_55511,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_55504,c_55482]) ).
tff(c_55337,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_54964,c_54991]) ).
tff(c_55352,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_55337,c_55337,c_54573]) ).
tff(c_55359,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_54919,c_55352]) ).
tff(c_55367,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_55359,c_55359,c_54964]) ).
tff(c_55375,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55367]) ).
tff(c_55404,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55375,c_55359]) ).
tff(c_55366,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_55359,c_55337]) ).
tff(c_55403,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55375,c_55366]) ).
tff(c_54587,plain,
! [Z_612] : ( multiply(sk_c7,multiply(sk_c5,Z_612)) = Z_612 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54545]) ).
tff(c_54599,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_54494,c_54587]) ).
tff(c_54623,plain,
! [X_614,Z_615] : ( multiply(inverse(X_614),multiply(X_614,Z_615)) = Z_615 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54548]) ).
tff(c_54644,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_54599,c_54623]) ).
tff(c_54665,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_54483,c_54623]) ).
tff(c_54814,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_54644,c_54665]) ).
tff(c_54578,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54483,c_68]) ).
tff(c_54579,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_54578]) ).
tff(c_54865,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_54814,c_54579]) ).
tff(c_54874,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54599,c_54865]) ).
tff(c_54875,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_54578]) ).
tff(c_55170,plain,
! [X2_625] :
( ( multiply(X2_625,sk_c6) != sk_c7 )
| ( inverse(X2_625) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_54875]) ).
tff(c_55187,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_54494,c_55170]) ).
tff(c_55200,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54436,c_55187]) ).
tff(c_55201,plain,
! [X1_8,X5_6,X3_7] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_54875]) ).
tff(c_55336,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_55201]) ).
tff(c_55419,plain,
! [X3_629] :
( ( inverse(X3_629) != identity )
| ( multiply(X3_629,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55404,c_55403,c_55403,c_55336]) ).
tff(c_55441,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_55419]) ).
tff(c_54466,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_55356,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_55337,c_54466]) ).
tff(c_55462,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55404,c_55356]) ).
tff(c_55466,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_55462,c_55012]) ).
tff(c_55475,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55466]) ).
tff(c_55477,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55475,c_55462]) ).
tff(c_55480,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55441,c_55477]) ).
tff(c_55481,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_55201]) ).
tff(c_55529,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55511,c_55511,c_55504,c_55511,c_55511,c_55504,c_55511,c_55481]) ).
tff(c_55530,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_55529]) ).
tff(c_56038,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_55520,c_55654,c_55520,c_55520,c_55530]) ).
tff(c_55015,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_54943]) ).
tff(c_55519,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_55504,c_54436]) ).
tff(c_55562,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55520,c_55519]) ).
tff(c_55566,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_55562,c_55012]) ).
tff(c_55575,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55015,c_55566]) ).
tff(c_55577,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55575,c_55562]) ).
tff(c_56040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56038,c_55577]) ).
tff(c_56041,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_55529]) ).
tff(c_57170,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_56162,c_55520,c_55520,c_2,c_55520,c_55520,c_56041]) ).
tff(c_56075,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55520,c_55519]) ).
tff(c_56079,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_56075,c_55012]) ).
tff(c_56088,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55015,c_56079]) ).
tff(c_56090,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56088,c_56075]) ).
tff(c_57172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57170,c_56090]) ).
tff(c_57173,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_57242,plain,
! [Z_666] : ( multiply(sk_c7,multiply(sk_c5,Z_666)) = multiply(identity,Z_666) ),
inference(superposition,[status(thm),theory(equality)],[c_54441,c_57215]) ).
tff(c_57280,plain,
! [Z_668] : ( multiply(sk_c7,multiply(sk_c5,Z_668)) = Z_668 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57242]) ).
tff(c_57292,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_57173,c_57280]) ).
tff(c_57321,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_57292,c_57303]) ).
tff(c_57189,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_54437,c_58]) ).
tff(c_57336,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_57189,c_57303]) ).
tff(c_57601,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_57321,c_57336]) ).
tff(c_57174,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_57180,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_57174,c_32]) ).
tff(c_57239,plain,
! [Z_666] : ( multiply(sk_c8,multiply(sk_c4,Z_666)) = multiply(identity,Z_666) ),
inference(superposition,[status(thm),theory(equality)],[c_54452,c_57215]) ).
tff(c_57257,plain,
! [Z_667] : ( multiply(sk_c8,multiply(sk_c4,Z_667)) = Z_667 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57239]) ).
tff(c_57269,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_57180,c_57257]) ).
tff(c_57615,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_57601,c_57601,c_57269]) ).
tff(c_57625,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57292,c_57615]) ).
tff(c_58154,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57625,c_57625,c_57321]) ).
tff(c_58161,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_58154]) ).
tff(c_58189,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_58161,c_57625]) ).
tff(c_57634,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57625,c_57625,c_57321]) ).
tff(c_57641,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_57634]) ).
tff(c_57651,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57641,c_57625]) ).
tff(c_57758,plain,
! [X_676,Z_677] : ( multiply(inverse(inverse(X_676)),Z_677) = multiply(X_676,Z_677) ),
inference(superposition,[status(thm),theory(equality)],[c_57255,c_57303]) ).
tff(c_57765,plain,
! [X_676] : ( multiply(X_676,identity) = X_676 ),
inference(superposition,[status(thm),theory(equality)],[c_57758,c_57357]) ).
tff(c_57463,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_57321,c_57336]) ).
tff(c_57369,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57189,c_68]) ).
tff(c_57370,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_57369]) ).
tff(c_57475,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57463,c_57370]) ).
tff(c_57486,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_57292,c_57475]) ).
tff(c_57487,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_57369]) ).
tff(c_57631,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57601,c_57601,c_57601,c_57601,c_57601,c_57601,c_57601,c_57487]) ).
tff(c_57632,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_57631]) ).
tff(c_58149,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_57651,c_57765,c_57651,c_57641,c_57632]) ).
tff(c_57640,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57625,c_54436]) ).
tff(c_57683,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57641,c_57640]) ).
tff(c_57687,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_57683,c_57357]) ).
tff(c_57696,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_57687]) ).
tff(c_57698,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57696,c_57683]) ).
tff(c_58151,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58149,c_57698]) ).
tff(c_58152,plain,
! [X1_8,X5_6,X3_7] :
( ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_57631]) ).
tff(c_80182,plain,
! [X1_8,X5_6,X3_7] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58293,c_58189,c_58189,c_58189,c_58293,c_58189,c_58189,c_2,c_58189,c_58189,c_58189,c_58293,c_58189,c_58189,c_58152]) ).
tff(c_80184,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_80182]) ).
tff(c_57360,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_57303]) ).
tff(c_57621,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_57601,c_54447]) ).
tff(c_58202,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_58189,c_57621]) ).
tff(c_58206,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_58202,c_57357]) ).
tff(c_58215,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57360,c_58206]) ).
tff(c_58218,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_58215,c_58202]) ).
tff(c_80186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80184,c_58218]) ).
tff(c_80187,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(splitRight,[status(thm)],[c_80182]) ).
tff(c_80189,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_80187]) ).
tff(c_80191,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80189,c_58218]) ).
tff(c_81440,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_80187]) ).
tff(c_81442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81440,c_58218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : GRP281-1 : TPTP v8.1.2. Released v2.5.0.
% 0.15/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 22:02:00 EDT 2023
% 0.15/0.37 % CPUTime :
% 18.75/8.78 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.94/8.85
% 18.94/8.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.25/8.93
% 19.25/8.93 Inference rules
% 19.25/8.93 ----------------------
% 19.25/8.93 #Ref : 0
% 19.25/8.93 #Sup : 19983
% 19.25/8.93 #Fact : 0
% 19.25/8.93 #Define : 0
% 19.25/8.93 #Split : 60
% 19.25/8.93 #Chain : 0
% 19.25/8.94 #Close : 0
% 19.25/8.94
% 19.25/8.94 Ordering : KBO
% 19.25/8.94
% 19.25/8.94 Simplification rules
% 19.25/8.94 ----------------------
% 19.25/8.94 #Subsume : 18
% 19.25/8.94 #Demod : 56723
% 19.25/8.94 #Tautology : 15989
% 19.25/8.94 #SimpNegUnit : 109
% 19.25/8.94 #BackRed : 874
% 19.25/8.94
% 19.25/8.94 #Partial instantiations: 0
% 19.25/8.94 #Strategies tried : 1
% 19.25/8.94
% 19.25/8.94 Timing (in seconds)
% 19.25/8.94 ----------------------
% 19.25/8.94 Preprocessing : 0.65
% 19.25/8.94 Parsing : 0.29
% 19.25/8.94 CNF conversion : 0.03
% 19.25/8.94 Main loop : 7.01
% 19.25/8.94 Inferencing : 1.80
% 19.25/8.94 Reduction : 4.17
% 19.25/8.94 Demodulation : 3.85
% 19.25/8.94 BG Simplification : 0.16
% 19.25/8.94 Subsumption : 0.60
% 19.25/8.94 Abstraction : 0.42
% 19.25/8.94 MUC search : 0.00
% 19.25/8.94 Cooper : 0.00
% 19.25/8.94 Total : 7.83
% 19.25/8.94 Index Insertion : 0.00
% 19.25/8.94 Index Deletion : 0.00
% 19.25/8.94 Index Matching : 0.00
% 19.25/8.94 BG Taut test : 0.00
%------------------------------------------------------------------------------