TSTP Solution File: GRP320-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP320-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n018.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 10:40:55 EDT 2023
% Result : Unsatisfiable 13.64s 4.99s
% Output : CNFRefutation 14.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 41
% Syntax : Number of formulae : 760 ( 647 unt; 11 typ; 0 def)
% Number of atoms : 975 ( 937 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 516 ( 290 ~; 226 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 361 (; 361 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c7) = 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_149,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(X3,sk_c7) != sk_c8 )
| ( inverse(X3) != sk_c7 )
| ( multiply(sk_c8,X4) != sk_c7 )
| ( multiply(X5,sk_c8) != X4 )
| ( inverse(X5) != sk_c8 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( inverse(X2) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
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_28922,plain,
! [X_451,Y_452,Z_453] : ( multiply(multiply(X_451,Y_452),Z_453) = multiply(X_451,multiply(Y_452,Z_453)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28955,plain,
! [X_2,Z_453] : ( multiply(inverse(X_2),multiply(X_2,Z_453)) = multiply(identity,Z_453) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28922]) ).
tff(c_29561,plain,
! [X_468,Z_469] : ( multiply(inverse(X_468),multiply(X_468,Z_469)) = Z_469 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28955]) ).
tff(c_28966,plain,
! [X_2,Z_453] : ( multiply(inverse(X_2),multiply(X_2,Z_453)) = Z_453 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28955]) ).
tff(c_30373,plain,
! [X_480,Z_481] : ( multiply(inverse(inverse(X_480)),Z_481) = multiply(X_480,Z_481) ),
inference(superposition,[status(thm),theory(equality)],[c_29561,c_28966]) ).
tff(c_29636,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29561]) ).
tff(c_30380,plain,
! [X_480] : ( multiply(X_480,identity) = X_480 ),
inference(superposition,[status(thm),theory(equality)],[c_30373,c_29636]) ).
tff(c_26066,plain,
! [X_394,Y_395,Z_396] : ( multiply(multiply(X_394,Y_395),Z_396) = multiply(X_394,multiply(Y_395,Z_396)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26099,plain,
! [X_2,Z_396] : ( multiply(inverse(X_2),multiply(X_2,Z_396)) = multiply(identity,Z_396) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26066]) ).
tff(c_26110,plain,
! [X_2,Z_396] : ( multiply(inverse(X_2),multiply(X_2,Z_396)) = Z_396 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26099]) ).
tff(c_27052,plain,
! [X_415,Z_416] : ( multiply(inverse(X_415),multiply(X_415,Z_416)) = Z_416 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26099]) ).
tff(c_27833,plain,
! [X_429,Z_430] : ( multiply(inverse(inverse(X_429)),Z_430) = multiply(X_429,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_26110,c_27052]) ).
tff(c_27130,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27052]) ).
tff(c_27840,plain,
! [X_429] : ( multiply(X_429,identity) = X_429 ),
inference(superposition,[status(thm),theory(equality)],[c_27833,c_27130]) ).
tff(c_22,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_25069,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_102,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_25094,plain,
! [X_369,Y_370,Z_371] : ( multiply(multiply(X_369,Y_370),Z_371) = multiply(X_369,multiply(Y_370,Z_371)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_25127,plain,
! [Z_371] : ( multiply(sk_c7,multiply(sk_c1,Z_371)) = multiply(identity,Z_371) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_25094]) ).
tff(c_25147,plain,
! [Z_372] : ( multiply(sk_c7,multiply(sk_c1,Z_372)) = Z_372 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25127]) ).
tff(c_25159,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_25069,c_25147]) ).
tff(c_153,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_186,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_153]) ).
tff(c_582,plain,
! [X_23,Z_24] : ( multiply(inverse(X_23),multiply(X_23,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_196,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_861,plain,
! [X_27,Z_28] : ( multiply(inverse(inverse(X_27)),Z_28) = multiply(X_27,Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_582,c_196]) ).
tff(c_627,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_582]) ).
tff(c_868,plain,
! [X_27] : ( multiply(X_27,identity) = X_27 ),
inference(superposition,[status(thm),theory(equality)],[c_861,c_627]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_111,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_20,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_127,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_180,plain,
! [Z_15] : ( multiply(sk_c7,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_c7,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_180]) ).
tff(c_210,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_127,c_198]) ).
tff(c_214,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_210]) ).
tff(c_218,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_111]) ).
tff(c_609,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_218,c_582]) ).
tff(c_635,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_609]) ).
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_217,plain,
multiply(sk_c8,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_117]) ).
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_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_618,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_122,c_582]) ).
tff(c_636,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_217,c_85,c_618]) ).
tff(c_647,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_635,c_636]) ).
tff(c_89,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_183,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_153]) ).
tff(c_265,plain,
! [Z_17] : ( multiply(sk_c8,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_183]) ).
tff(c_277,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_122,c_265]) ).
tff(c_281,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_217,c_277]) ).
tff(c_285,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_281,c_218]) ).
tff(c_368,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_285,c_196]) ).
tff(c_374,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_368]) ).
tff(c_288,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_281,c_85]) ).
tff(c_296,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_288,c_4]) ).
tff(c_387,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_374,c_296]) ).
tff(c_377,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_374,c_288]) ).
tff(c_400,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_387,c_377]) ).
tff(c_314,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_475,plain,
! [X_20] : ( multiply(inverse(inverse(X_20)),identity) = X_20 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_314]) ).
tff(c_481,plain,
! [X_20] : ( multiply(inverse(inverse(inverse(X_20))),X_20) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_475,c_196]) ).
tff(c_378,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_374,c_281]) ).
tff(c_68,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_240,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_218,c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_218,c_214,c_68]) ).
tff(c_241,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_240]) ).
tff(c_534,plain,
! [X3_22] :
( ( inverse(X3_22) != identity )
| ( multiply(X3_22,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_378,c_374,c_374,c_241]) ).
tff(c_538,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_481,c_534]) ).
tff(c_557,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_400,c_400,c_400,c_400,c_538]) ).
tff(c_558,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_240]) ).
tff(c_8336,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_868,c_647,c_647,c_647,c_868,c_647,c_635,c_635,c_868,c_647,c_635,c_2,c_635,c_635,c_558]) ).
tff(c_8338,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8336]) ).
tff(c_642,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_636,c_85]) ).
tff(c_699,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_647,c_642]) ).
tff(c_706,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_699,c_4]) ).
tff(c_757,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_706,c_196]) ).
tff(c_769,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_757]) ).
tff(c_773,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_769,c_699]) ).
tff(c_8340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8338,c_773]) ).
tff(c_8341,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(splitRight,[status(thm)],[c_8336]) ).
tff(c_8343,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8341]) ).
tff(c_8345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8343,c_773]) ).
tff(c_8732,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_8341]) ).
tff(c_8734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8732,c_773]) ).
tff(c_8736,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_24,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_8749,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_8736,c_24]) ).
tff(c_8786,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_8736,c_22]) ).
tff(c_8792,plain,
! [X_116,Y_117,Z_118] : ( multiply(multiply(X_116,Y_117),Z_118) = multiply(X_116,multiply(Y_117,Z_118)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_8837,plain,
! [X_2,Z_118] : ( multiply(inverse(X_2),multiply(X_2,Z_118)) = multiply(identity,Z_118) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_8792]) ).
tff(c_9061,plain,
! [X_122,Z_123] : ( multiply(inverse(X_122),multiply(X_122,Z_123)) = Z_123 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8837]) ).
tff(c_9109,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8786,c_9061]) ).
tff(c_9133,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8749,c_9109]) ).
tff(c_8849,plain,
! [X_2,Z_118] : ( multiply(inverse(X_2),multiply(X_2,Z_118)) = Z_118 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8837]) ).
tff(c_9144,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9133,c_8849]) ).
tff(c_9150,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9144]) ).
tff(c_8834,plain,
! [Z_118] : ( multiply(sk_c8,multiply(sk_c2,Z_118)) = multiply(identity,Z_118) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_8792]) ).
tff(c_8864,plain,
! [Z_120] : ( multiply(sk_c8,multiply(sk_c2,Z_120)) = Z_120 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8834]) ).
tff(c_8876,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_122,c_8864]) ).
tff(c_8880,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_117,c_8876]) ).
tff(c_8993,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8880,c_111]) ).
tff(c_9154,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9150,c_8993]) ).
tff(c_8735,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_8990,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8880,c_8735]) ).
tff(c_18,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_8781,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_8736,c_18]) ).
tff(c_8986,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8880,c_8781]) ).
tff(c_9165,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8986,c_8849]) ).
tff(c_9171,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8990,c_9165]) ).
tff(c_9261,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9154,c_9171]) ).
tff(c_9277,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9261,c_102]) ).
tff(c_9370,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_9277,c_8849]) ).
tff(c_9382,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9370]) ).
tff(c_8989,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8880,c_8736]) ).
tff(c_9268,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_9261,c_9261,c_8989]) ).
tff(c_9513,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9382,c_9268]) ).
tff(c_9515,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_10293,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9515,c_48]) ).
tff(c_9527,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_9576,plain,
! [X_126,Y_127,Z_128] : ( multiply(multiply(X_126,Y_127),Z_128) = multiply(X_126,multiply(Y_127,Z_128)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9615,plain,
! [Z_128] : ( multiply(sk_c7,multiply(sk_c1,Z_128)) = multiply(identity,Z_128) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_9576]) ).
tff(c_9771,plain,
! [Z_134] : ( multiply(sk_c7,multiply(sk_c1,Z_134)) = Z_134 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9615]) ).
tff(c_9783,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9527,c_9771]) ).
tff(c_9787,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_9783]) ).
tff(c_9797,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9787,c_111]) ).
tff(c_9621,plain,
! [X_2,Z_128] : ( multiply(inverse(X_2),multiply(X_2,Z_128)) = multiply(identity,Z_128) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9576]) ).
tff(c_9874,plain,
! [X_135,Z_136] : ( multiply(inverse(X_135),multiply(X_135,Z_136)) = Z_136 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9621]) ).
tff(c_9907,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_9797,c_9874]) ).
tff(c_9946,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9907]) ).
tff(c_9796,plain,
multiply(sk_c8,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9787,c_117]) ).
tff(c_9950,plain,
multiply(identity,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9946,c_9796]) ).
tff(c_9959,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9950]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_9540,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_9515,c_50]) ).
tff(c_9568,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9515,c_48]) ).
tff(c_9790,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9787,c_9568]) ).
tff(c_9898,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_9790,c_9874]) ).
tff(c_9945,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_9540,c_9898]) ).
tff(c_10168,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9959,c_9946,c_2,c_9946,c_9945]) ).
tff(c_9957,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9946,c_89]) ).
tff(c_9633,plain,
! [X_2,Z_128] : ( multiply(inverse(X_2),multiply(X_2,Z_128)) = Z_128 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9621]) ).
tff(c_10105,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_9957,c_9633]) ).
tff(c_10117,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10105]) ).
tff(c_9956,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_9946,c_9515]) ).
tff(c_10268,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10168,c_2,c_10117,c_9956]) ).
tff(c_10269,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_10274,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10269,c_4]) ).
tff(c_10320,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_10344,plain,
! [Z_142] : ( multiply(sk_c8,multiply(sk_c4,Z_142)) = multiply(identity,Z_142) ),
inference(superposition,[status(thm),theory(equality)],[c_10274,c_10320]) ).
tff(c_10402,plain,
! [Z_145] : ( multiply(sk_c8,multiply(sk_c4,Z_145)) = Z_145 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10344]) ).
tff(c_10414,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10293,c_10402]) ).
tff(c_10362,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_10320]) ).
tff(c_10952,plain,
! [X_155,Z_156] : ( multiply(inverse(X_155),multiply(X_155,Z_156)) = Z_156 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10362]) ).
tff(c_10979,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10414,c_10952]) ).
tff(c_11041,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10979]) ).
tff(c_11066,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11041,c_98]) ).
tff(c_11080,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11066,c_4]) ).
tff(c_10374,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_10362]) ).
tff(c_11097,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_11080,c_10374]) ).
tff(c_11109,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11097]) ).
tff(c_10270,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_11061,plain,
multiply(sk_c1,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11041,c_10270]) ).
tff(c_11113,plain,
multiply(identity,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11109,c_11061]) ).
tff(c_11116,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11113]) ).
tff(c_11114,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11109,c_11066]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_10305,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_9515,c_52]) ).
tff(c_9514,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_9519,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9514,c_4]) ).
tff(c_10347,plain,
! [Z_142] : ( multiply(sk_c7,multiply(sk_c5,Z_142)) = multiply(identity,Z_142) ),
inference(superposition,[status(thm),theory(equality)],[c_9519,c_10320]) ).
tff(c_10929,plain,
! [Z_154] : ( multiply(sk_c7,multiply(sk_c5,Z_154)) = Z_154 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10347]) ).
tff(c_10941,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10305,c_10929]) ).
tff(c_10970,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10941,c_10952]) ).
tff(c_11040,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10970]) ).
tff(c_10353,plain,
! [Z_142] : ( multiply(sk_c7,multiply(sk_c8,Z_142)) = multiply(sk_c6,Z_142) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_10320]) ).
tff(c_11136,plain,
! [Z_157] : ( multiply(sk_c8,Z_157) = Z_157 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11041,c_2,c_11040,c_10353]) ).
tff(c_11154,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_11136,c_10274]) ).
tff(c_11178,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11154,c_10269]) ).
tff(c_11181,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11114,c_11178]) ).
tff(c_11183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11116,c_11181]) ).
tff(c_11184,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_11185,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_38,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_13228,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11185,c_38]) ).
tff(c_22463,plain,
! [X_311,Y_312,Z_313] : ( multiply(multiply(X_311,Y_312),Z_313) = multiply(X_311,multiply(Y_312,Z_313)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_22499,plain,
! [Z_313] : ( multiply(sk_c8,multiply(sk_c2,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_22463]) ).
tff(c_22513,plain,
! [Z_313] : ( multiply(sk_c8,multiply(sk_c2,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22499]) ).
tff(c_11189,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11184,c_4]) ).
tff(c_22490,plain,
! [Z_313] : ( multiply(sk_c8,multiply(sk_c4,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_11189,c_22463]) ).
tff(c_23231,plain,
! [Z_329] : ( multiply(sk_c8,multiply(sk_c4,Z_329)) = Z_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22490]) ).
tff(c_23246,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13228,c_23231]) ).
tff(c_22502,plain,
! [X_2,Z_313] : ( multiply(inverse(X_2),multiply(X_2,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22463]) ).
tff(c_23278,plain,
! [X_330,Z_331] : ( multiply(inverse(X_330),multiply(X_330,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22502]) ).
tff(c_23302,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23246,c_23278]) ).
tff(c_23374,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_23302]) ).
tff(c_11666,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11185,c_38]) ).
tff(c_11677,plain,
! [X_166,Y_167,Z_168] : ( multiply(multiply(X_166,Y_167),Z_168) = multiply(X_166,multiply(Y_167,Z_168)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11704,plain,
! [Z_168] : ( multiply(sk_c8,multiply(sk_c4,Z_168)) = multiply(identity,Z_168) ),
inference(superposition,[status(thm),theory(equality)],[c_11189,c_11677]) ).
tff(c_11770,plain,
! [Z_171] : ( multiply(sk_c8,multiply(sk_c4,Z_171)) = Z_171 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11704]) ).
tff(c_11782,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11666,c_11770]) ).
tff(c_11719,plain,
! [X_2,Z_168] : ( multiply(inverse(X_2),multiply(X_2,Z_168)) = multiply(identity,Z_168) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11677]) ).
tff(c_12757,plain,
! [X_187,Z_188] : ( multiply(inverse(X_187),multiply(X_187,Z_188)) = Z_188 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11719]) ).
tff(c_12796,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11782,c_12757]) ).
tff(c_12864,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12796]) ).
tff(c_11193,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_11716,plain,
! [Z_168] : ( multiply(sk_c8,multiply(sk_c2,Z_168)) = multiply(identity,Z_168) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_11677]) ).
tff(c_11746,plain,
! [Z_170] : ( multiply(sk_c8,multiply(sk_c2,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11716]) ).
tff(c_11758,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11193,c_11746]) ).
tff(c_11762,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11758,c_11185]) ).
tff(c_13063,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12864,c_11762]) ).
tff(c_13073,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12864,c_98]) ).
tff(c_13092,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13073,c_4]) ).
tff(c_11731,plain,
! [X_2,Z_168] : ( multiply(inverse(X_2),multiply(X_2,Z_168)) = Z_168 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11719]) ).
tff(c_13099,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_13092,c_11731]) ).
tff(c_13111,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13099]) ).
tff(c_13115,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13111,c_13073]) ).
tff(c_42,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_11658,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11185,c_42]) ).
tff(c_11204,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_11251,plain,
! [X_158,Y_159,Z_160] : ( multiply(multiply(X_158,Y_159),Z_160) = multiply(X_158,multiply(Y_159,Z_160)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11290,plain,
! [Z_160] : ( multiply(sk_c7,multiply(sk_c1,Z_160)) = multiply(identity,Z_160) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_11251]) ).
tff(c_11310,plain,
! [Z_161] : ( multiply(sk_c7,multiply(sk_c1,Z_161)) = Z_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11290]) ).
tff(c_11322,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11204,c_11310]) ).
tff(c_11326,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_11322]) ).
tff(c_11342,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(sk_c6,sk_c8) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c8 )
| ( multiply(sk_c6,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11326,c_11326,c_11326,c_11326,c_11326,c_11326,c_11326,c_11326,c_68]) ).
tff(c_11343,plain,
multiply(sk_c6,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_11342]) ).
tff(c_11335,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11326,c_111]) ).
tff(c_11358,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11343,c_11335]) ).
tff(c_11360,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_11342]) ).
tff(c_11296,plain,
! [X_2,Z_160] : ( multiply(inverse(X_2),multiply(X_2,Z_160)) = multiply(identity,Z_160) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11251]) ).
tff(c_11308,plain,
! [X_2,Z_160] : ( multiply(inverse(X_2),multiply(X_2,Z_160)) = Z_160 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11296]) ).
tff(c_11492,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11360,c_11308]) ).
tff(c_11498,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11492]) ).
tff(c_11368,plain,
! [X_162,Z_163] : ( multiply(inverse(X_162),multiply(X_162,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11296]) ).
tff(c_11395,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11193,c_11368]) ).
tff(c_11414,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_11395]) ).
tff(c_11428,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_11414,c_11308]) ).
tff(c_11434,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11428]) ).
tff(c_11334,plain,
multiply(sk_c8,sk_c3) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11326,c_11185]) ).
tff(c_11595,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11498,c_11434,c_11334]) ).
tff(c_11531,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11498,c_11184]) ).
tff(c_11243,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11185,c_38]) ).
tff(c_11328,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11326,c_11243]) ).
tff(c_11616,plain,
multiply(sk_c4,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11498,c_11328]) ).
tff(c_11620,plain,
multiply(inverse(sk_c4),sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11616,c_11308]) ).
tff(c_11626,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11531,c_11620]) ).
tff(c_11628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11595,c_11626]) ).
tff(c_11629,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_11634,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11629,c_4]) ).
tff(c_11701,plain,
! [Z_168] : ( multiply(sk_c7,multiply(sk_c5,Z_168)) = multiply(identity,Z_168) ),
inference(superposition,[status(thm),theory(equality)],[c_11634,c_11677]) ).
tff(c_12668,plain,
! [Z_185] : ( multiply(sk_c7,multiply(sk_c5,Z_185)) = Z_185 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11701]) ).
tff(c_12680,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11658,c_12668]) ).
tff(c_12790,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12680,c_12757]) ).
tff(c_12863,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12790]) ).
tff(c_11710,plain,
! [Z_168] : ( multiply(sk_c7,multiply(sk_c8,Z_168)) = multiply(sk_c6,Z_168) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_11677]) ).
tff(c_13146,plain,
! [Z_191] : ( multiply(sk_c8,Z_191) = Z_191 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12863,c_2,c_12864,c_11710]) ).
tff(c_13164,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_13146,c_11189]) ).
tff(c_13188,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_13164,c_11184]) ).
tff(c_13191,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13115,c_13188]) ).
tff(c_13193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13063,c_13191]) ).
tff(c_13194,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_13254,plain,
! [X_192,Y_193,Z_194] : ( multiply(multiply(X_192,Y_193),Z_194) = multiply(X_192,multiply(Y_193,Z_194)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13296,plain,
! [X_2,Z_194] : ( multiply(inverse(X_2),multiply(X_2,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13254]) ).
tff(c_13308,plain,
! [X_2,Z_194] : ( multiply(inverse(X_2),multiply(X_2,Z_194)) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13296]) ).
tff(c_14454,plain,
! [X_218,Z_219] : ( multiply(inverse(X_218),multiply(X_218,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13296]) ).
tff(c_14814,plain,
! [X_223,Z_224] : ( multiply(inverse(inverse(X_223)),Z_224) = multiply(X_223,Z_224) ),
inference(superposition,[status(thm),theory(equality)],[c_13308,c_14454]) ).
tff(c_14520,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14454]) ).
tff(c_14821,plain,
! [X_223] : ( multiply(X_223,identity) = X_223 ),
inference(superposition,[status(thm),theory(equality)],[c_14814,c_14520]) ).
tff(c_13235,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_13290,plain,
! [Z_194] : ( multiply(sk_c7,multiply(sk_c1,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_13254]) ).
tff(c_13451,plain,
! [Z_200] : ( multiply(sk_c7,multiply(sk_c1,Z_200)) = Z_200 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13290]) ).
tff(c_13463,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13235,c_13451]) ).
tff(c_13467,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_13463]) ).
tff(c_13476,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13467,c_111]) ).
tff(c_14484,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13476,c_14454]) ).
tff(c_14530,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14484]) ).
tff(c_14541,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14530,c_11189]) ).
tff(c_14637,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_14541,c_13308]) ).
tff(c_14649,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14637]) ).
tff(c_13275,plain,
! [Z_194] : ( multiply(sk_c4,multiply(sk_c8,Z_194)) = multiply(sk_c7,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_13228,c_13254]) ).
tff(c_14705,plain,
! [Z_194] : ( multiply(sk_c6,Z_194) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14649,c_2,c_14530,c_13467,c_13275]) ).
tff(c_14537,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14530,c_13476]) ).
tff(c_14706,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14705,c_14537]) ).
tff(c_13598,plain,
! [X_203,Z_204] : ( multiply(inverse(X_203),multiply(X_203,Z_204)) = Z_204 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13296]) ).
tff(c_14025,plain,
! [X_208,Z_209] : ( multiply(inverse(inverse(X_208)),Z_209) = multiply(X_208,Z_209) ),
inference(superposition,[status(thm),theory(equality)],[c_13598,c_13308]) ).
tff(c_13667,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13598]) ).
tff(c_14032,plain,
! [X_208] : ( multiply(X_208,identity) = X_208 ),
inference(superposition,[status(thm),theory(equality)],[c_14025,c_13667]) ).
tff(c_13474,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13467,c_13194]) ).
tff(c_13195,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_13243,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13195,c_52]) ).
tff(c_13469,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13467,c_13243]) ).
tff(c_13625,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13469,c_13598]) ).
tff(c_13676,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13474,c_13625]) ).
tff(c_13785,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13676,c_13308]) ).
tff(c_13791,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13785]) ).
tff(c_13326,plain,
! [Z_196] : ( multiply(sk_c7,multiply(sk_c1,Z_196)) = Z_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13290]) ).
tff(c_13338,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13235,c_13326]) ).
tff(c_13342,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_13338]) ).
tff(c_13353,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13342,c_98]) ).
tff(c_13345,plain,
multiply(sk_c1,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_13342,c_13235]) ).
tff(c_46,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_13223,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11185,c_46]) ).
tff(c_13311,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_13223,c_68]) ).
tff(c_13312,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_13311]) ).
tff(c_13417,plain,
! [X3_198] :
( ( inverse(X3_198) != sk_c6 )
| ( multiply(X3_198,sk_c6) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13342,c_13342,c_13312]) ).
tff(c_13420,plain,
inverse(sk_c1) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13345,c_13417]) ).
tff(c_13436,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13353,c_13420]) ).
tff(c_13437,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_13311]) ).
tff(c_13541,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13467,c_13467,c_13467,c_13467,c_13437]) ).
tff(c_13542,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_13541]) ).
tff(c_14415,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14032,c_13791,c_13791,c_13791,c_13542]) ).
tff(c_13631,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13476,c_13598]) ).
tff(c_13677,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13631]) ).
tff(c_13691,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13677,c_11184]) ).
tff(c_13744,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13691,c_4]) ).
tff(c_13818,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_13744,c_13308]) ).
tff(c_13830,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13818]) ).
tff(c_13834,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13830,c_13691]) ).
tff(c_14417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14415,c_13834]) ).
tff(c_14418,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_13541]) ).
tff(c_22436,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14821,c_14706,c_14530,c_2,c_14530,c_14530,c_14821,c_14706,c_14530,c_14530,c_14418]) ).
tff(c_22438,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_22436]) ).
tff(c_14543,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14530,c_11184]) ).
tff(c_14654,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14649,c_14543]) ).
tff(c_22440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22438,c_14654]) ).
tff(c_22442,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_22436]) ).
tff(c_22444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22442,c_14654]) ).
tff(c_22445,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_22530,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_13223,c_68]) ).
tff(c_22591,plain,
! [X3_318] :
( ( inverse(X3_318) != sk_c7 )
| ( multiply(X3_318,sk_c7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_22530]) ).
tff(c_22605,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22591]) ).
tff(c_22614,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_22605]) ).
tff(c_22568,plain,
! [Z_317] : ( multiply(sk_c8,multiply(sk_c4,Z_317)) = Z_317 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22490]) ).
tff(c_22580,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13228,c_22568]) ).
tff(c_22615,plain,
! [X_319,Z_320] : ( multiply(inverse(X_319),multiply(X_319,Z_320)) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22502]) ).
tff(c_22633,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22580,c_22615]) ).
tff(c_22697,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22633]) ).
tff(c_22721,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22697,c_98]) ).
tff(c_22846,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22721,c_4]) ).
tff(c_22514,plain,
! [X_2,Z_313] : ( multiply(inverse(X_2),multiply(X_2,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22502]) ).
tff(c_22870,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_22846,c_22514]) ).
tff(c_22882,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22870]) ).
tff(c_22886,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22882,c_22721]) ).
tff(c_13199,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13194,c_4]) ).
tff(c_22487,plain,
! [Z_313] : ( multiply(sk_c7,multiply(sk_c5,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_13199,c_22463]) ).
tff(c_22545,plain,
! [Z_316] : ( multiply(sk_c7,multiply(sk_c5,Z_316)) = Z_316 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22487]) ).
tff(c_22557,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22445,c_22545]) ).
tff(c_22639,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22557,c_22615]) ).
tff(c_22698,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22639]) ).
tff(c_22493,plain,
! [Z_313] : ( multiply(sk_c7,multiply(sk_c8,Z_313)) = multiply(sk_c6,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_22463]) ).
tff(c_22732,plain,
! [Z_321] : ( multiply(sk_c8,Z_321) = Z_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22698,c_2,c_22697,c_22493]) ).
tff(c_22750,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_22732,c_11189]) ).
tff(c_22774,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22750,c_11184]) ).
tff(c_22894,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22886,c_22774]) ).
tff(c_22896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22614,c_22894]) ).
tff(c_22898,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_22605]) ).
tff(c_22609,plain,
( ( inverse(identity) != sk_c7 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_22591]) ).
tff(c_22613,plain,
sk_c8 != sk_c7,
inference(splitLeft,[status(thm)],[c_22609]) ).
tff(c_22899,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_22898,c_22613]) ).
tff(c_22909,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22898,c_11189]) ).
tff(c_22985,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_22909,c_2]) ).
tff(c_22907,plain,
multiply(sk_c4,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22898,c_13228]) ).
tff(c_23035,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22985,c_22907]) ).
tff(c_23036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22899,c_23035]) ).
tff(c_23038,plain,
sk_c8 = sk_c7,
inference(splitRight,[status(thm)],[c_22609]) ).
tff(c_22601,plain,
( ( inverse(sk_c5) != sk_c7 )
| ( sk_c8 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_22445,c_22591]) ).
tff(c_22612,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13194,c_22601]) ).
tff(c_23040,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23038,c_22612]) ).
tff(c_23052,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23038,c_111]) ).
tff(c_23042,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23038,c_23038,c_22580]) ).
tff(c_23114,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23052,c_23042]) ).
tff(c_23115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23040,c_23114]) ).
tff(c_23116,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_22530]) ).
tff(c_23177,plain,
! [X2_327] :
( ( inverse(X2_327) != sk_c7 )
| ( multiply(X2_327,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_23116]) ).
tff(c_23187,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22445,c_23177]) ).
tff(c_23199,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13194,c_23187]) ).
tff(c_23200,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_23116]) ).
tff(c_23277,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_23200]) ).
tff(c_23494,plain,
! [X5_333] :
( ( inverse(X5_333) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_333,sk_c8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23374,c_23277]) ).
tff(c_23505,plain,
( ( inverse(sk_c2) != sk_c8 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_22513,c_23494]) ).
tff(c_23521,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_23505]) ).
tff(c_23409,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23374,c_98]) ).
tff(c_23462,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23409,c_4]) ).
tff(c_23536,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_23462,c_22514]) ).
tff(c_23548,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_23536]) ).
tff(c_23556,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23548,c_23409]) ).
tff(c_23130,plain,
! [Z_325] : ( multiply(sk_c7,multiply(sk_c5,Z_325)) = Z_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22487]) ).
tff(c_23142,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22445,c_23130]) ).
tff(c_23314,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23142,c_23278]) ).
tff(c_23375,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_23314]) ).
tff(c_23201,plain,
! [Z_328] : ( multiply(sk_c7,multiply(sk_c8,Z_328)) = multiply(sk_c6,Z_328) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_22463]) ).
tff(c_23219,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_89,c_23201]) ).
tff(c_23396,plain,
multiply(sk_c6,sk_c2) = multiply(identity,identity),
inference(demodulation,[status(thm),theory(equality)],[c_23374,c_23219]) ).
tff(c_23410,plain,
multiply(sk_c6,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23396]) ).
tff(c_23522,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23375,c_23410]) ).
tff(c_23527,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_23522,c_85]) ).
tff(c_23594,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23556,c_23527]) ).
tff(c_23596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23521,c_23594]) ).
tff(c_23598,plain,
! [X1_335] :
( ( inverse(X1_335) != sk_c8 )
| ( multiply(X1_335,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_23200]) ).
tff(c_23605,plain,
inverse(sk_c4) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13228,c_23598]) ).
tff(c_23623,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11184,c_23605]) ).
tff(c_23625,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_25163,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_25159,c_23625]) ).
tff(c_12,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_23672,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_23625,c_12]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_23639,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_23625,c_14]) ).
tff(c_23643,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23639,c_4]) ).
tff(c_24062,plain,
! [X_344,Y_345,Z_346] : ( multiply(multiply(X_344,Y_345),Z_346) = multiply(X_344,multiply(Y_345,Z_346)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24092,plain,
! [Z_346] : ( multiply(sk_c7,multiply(sk_c5,Z_346)) = multiply(identity,Z_346) ),
inference(superposition,[status(thm),theory(equality)],[c_23643,c_24062]) ).
tff(c_24204,plain,
! [Z_350] : ( multiply(sk_c7,multiply(sk_c5,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24092]) ).
tff(c_24219,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23672,c_24204]) ).
tff(c_24104,plain,
! [X_2,Z_346] : ( multiply(inverse(X_2),multiply(X_2,Z_346)) = multiply(identity,Z_346) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24062]) ).
tff(c_24257,plain,
! [X_352,Z_353] : ( multiply(inverse(X_352),multiply(X_352,Z_353)) = Z_353 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24104]) ).
tff(c_24281,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_24219,c_24257]) ).
tff(c_24355,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24281]) ).
tff(c_23671,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_24098,plain,
! [Z_346] : ( multiply(sk_c7,multiply(sk_c1,Z_346)) = multiply(identity,Z_346) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_24062]) ).
tff(c_24118,plain,
! [Z_347] : ( multiply(sk_c7,multiply(sk_c1,Z_347)) = Z_347 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24098]) ).
tff(c_24130,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23671,c_24118]) ).
tff(c_24134,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24130,c_23625]) ).
tff(c_24370,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24355,c_24134]) ).
tff(c_24299,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24130,c_24257]) ).
tff(c_24359,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24299]) ).
tff(c_23624,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_23697,plain,
! [X_336,Y_337,Z_338] : ( multiply(multiply(X_336,Y_337),Z_338) = multiply(X_336,multiply(Y_337,Z_338)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_23742,plain,
! [X_2,Z_338] : ( multiply(inverse(X_2),multiply(X_2,Z_338)) = multiply(identity,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23697]) ).
tff(c_23866,plain,
! [X_341,Z_342] : ( multiply(inverse(X_341),multiply(X_341,Z_342)) = Z_342 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23742]) ).
tff(c_23911,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23672,c_23866]) ).
tff(c_23936,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23639,c_23911]) ).
tff(c_23754,plain,
! [X_2,Z_338] : ( multiply(inverse(X_2),multiply(X_2,Z_338)) = Z_338 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23742]) ).
tff(c_23947,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23936,c_23754]) ).
tff(c_23953,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_23947]) ).
tff(c_23736,plain,
! [Z_338] : ( multiply(sk_c7,multiply(sk_c1,Z_338)) = multiply(identity,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_23697]) ).
tff(c_23756,plain,
! [Z_339] : ( multiply(sk_c7,multiply(sk_c1,Z_339)) = Z_339 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23736]) ).
tff(c_23768,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23671,c_23756]) ).
tff(c_23772,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23768,c_23625]) ).
tff(c_23956,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_23953,c_23772]) ).
tff(c_23686,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_23666,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_23739,plain,
! [Z_338] : ( multiply(sk_c8,multiply(sk_c2,Z_338)) = multiply(identity,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_23697]) ).
tff(c_23780,plain,
! [Z_340] : ( multiply(sk_c8,multiply(sk_c2,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23739]) ).
tff(c_23792,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_23666,c_23780]) ).
tff(c_23796,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23686,c_23792]) ).
tff(c_23800,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23796,c_23768]) ).
tff(c_24044,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23800,c_23754]) ).
tff(c_24050,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24044]) ).
tff(c_24052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23956,c_24050]) ).
tff(c_24053,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_24308,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24053,c_24257]) ).
tff(c_24360,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_23624,c_24308]) ).
tff(c_24477,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24359,c_2,c_24359,c_24360]) ).
tff(c_24478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24370,c_24477]) ).
tff(c_24480,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_24491,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24480,c_18]) ).
tff(c_23629,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23624,c_4]) ).
tff(c_24501,plain,
! [X_356,Y_357,Z_358] : ( multiply(multiply(X_356,Y_357),Z_358) = multiply(X_356,multiply(Y_357,Z_358)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24531,plain,
! [Z_358] : ( multiply(sk_c8,multiply(sk_c4,Z_358)) = multiply(identity,Z_358) ),
inference(superposition,[status(thm),theory(equality)],[c_23629,c_24501]) ).
tff(c_24615,plain,
! [Z_362] : ( multiply(sk_c8,multiply(sk_c4,Z_362)) = Z_362 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24531]) ).
tff(c_24627,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24491,c_24615]) ).
tff(c_24540,plain,
! [X_2,Z_358] : ( multiply(inverse(X_2),multiply(X_2,Z_358)) = multiply(identity,Z_358) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24501]) ).
tff(c_24638,plain,
! [X_363,Z_364] : ( multiply(inverse(X_363),multiply(X_363,Z_364)) = Z_364 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24540]) ).
tff(c_24656,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24627,c_24638]) ).
tff(c_24723,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24656]) ).
tff(c_24479,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_24528,plain,
! [Z_358] : ( multiply(sk_c7,multiply(sk_c5,Z_358)) = multiply(identity,Z_358) ),
inference(superposition,[status(thm),theory(equality)],[c_23643,c_24501]) ).
tff(c_24590,plain,
! [Z_361] : ( multiply(sk_c7,multiply(sk_c5,Z_361)) = Z_361 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24528]) ).
tff(c_24602,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24479,c_24590]) ).
tff(c_24662,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_24602,c_24638]) ).
tff(c_24724,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24662]) ).
tff(c_16,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_23661,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_23625,c_16]) ).
tff(c_24525,plain,
! [Z_358] : ( multiply(sk_c6,multiply(sk_c8,Z_358)) = multiply(sk_c7,Z_358) ),
inference(superposition,[status(thm),theory(equality)],[c_23661,c_24501]) ).
tff(c_24937,plain,
! [Z_358] : ( multiply(sk_c8,Z_358) = Z_358 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24723,c_2,c_24724,c_24525]) ).
tff(c_24537,plain,
! [Z_358] : ( multiply(sk_c8,multiply(sk_c2,Z_358)) = multiply(identity,Z_358) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_24501]) ).
tff(c_24567,plain,
! [Z_360] : ( multiply(sk_c8,multiply(sk_c2,Z_360)) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24537]) ).
tff(c_24579,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_23666,c_24567]) ).
tff(c_24668,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_24579,c_24638]) ).
tff(c_24725,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24668]) ).
tff(c_24769,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24725,c_24579]) ).
tff(c_24938,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24937,c_24769]) ).
tff(c_24778,plain,
multiply(sk_c7,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24724,c_23625]) ).
tff(c_25066,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24938,c_2,c_24723,c_24778]) ).
tff(c_25068,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_25079,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_25068,c_52]) ).
tff(c_25121,plain,
! [Z_371] : ( multiply(sk_c7,multiply(sk_c5,Z_371)) = multiply(identity,Z_371) ),
inference(superposition,[status(thm),theory(equality)],[c_23643,c_25094]) ).
tff(c_25223,plain,
! [Z_375] : ( multiply(sk_c7,multiply(sk_c5,Z_375)) = Z_375 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25121]) ).
tff(c_25238,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_25079,c_25223]) ).
tff(c_25133,plain,
! [X_2,Z_371] : ( multiply(inverse(X_2),multiply(X_2,Z_371)) = multiply(identity,Z_371) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25094]) ).
tff(c_25276,plain,
! [X_377,Z_378] : ( multiply(inverse(X_377),multiply(X_377,Z_378)) = Z_378 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25133]) ).
tff(c_25300,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_25238,c_25276]) ).
tff(c_25368,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25300]) ).
tff(c_25172,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( sk_c7 != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25159,c_23661,c_68]) ).
tff(c_25173,plain,
sk_c7 != sk_c6,
inference(splitLeft,[status(thm)],[c_25172]) ).
tff(c_25381,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_25368,c_25173]) ).
tff(c_25315,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_25159,c_25276]) ).
tff(c_25371,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25315]) ).
tff(c_25067,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_25327,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_25067,c_25276]) ).
tff(c_25373,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_23624,c_25327]) ).
tff(c_25464,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25371,c_2,c_25371,c_25373]) ).
tff(c_25465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25381,c_25464]) ).
tff(c_25467,plain,
sk_c7 = sk_c6,
inference(splitRight,[status(thm)],[c_25172]) ).
tff(c_25543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25163,c_25467]) ).
tff(c_25544,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_25568,plain,
! [X_382,Y_383,Z_384] : ( multiply(multiply(X_382,Y_383),Z_384) = multiply(X_382,multiply(Y_383,Z_384)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_25592,plain,
! [Z_384] : ( multiply(sk_c7,multiply(sk_c5,Z_384)) = multiply(identity,Z_384) ),
inference(superposition,[status(thm),theory(equality)],[c_23643,c_25568]) ).
tff(c_25644,plain,
! [Z_387] : ( multiply(sk_c7,multiply(sk_c5,Z_387)) = Z_387 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25592]) ).
tff(c_25656,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_25544,c_25644]) ).
tff(c_25604,plain,
! [X_2,Z_384] : ( multiply(inverse(X_2),multiply(X_2,Z_384)) = multiply(identity,Z_384) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25568]) ).
tff(c_25747,plain,
! [X_390,Z_391] : ( multiply(inverse(X_390),multiply(X_390,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25604]) ).
tff(c_25783,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_25656,c_25747]) ).
tff(c_25841,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25783]) ).
tff(c_25595,plain,
! [Z_384] : ( multiply(sk_c8,multiply(sk_c4,Z_384)) = multiply(identity,Z_384) ),
inference(superposition,[status(thm),theory(equality)],[c_23629,c_25568]) ).
tff(c_25669,plain,
! [Z_388] : ( multiply(sk_c8,multiply(sk_c4,Z_388)) = Z_388 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25595]) ).
tff(c_25681,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_25067,c_25669]) ).
tff(c_25777,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_25681,c_25747]) ).
tff(c_25840,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25777]) ).
tff(c_25859,plain,
multiply(identity,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_25840,c_23625]) ).
tff(c_25863,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25859]) ).
tff(c_25903,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_25841,c_25863]) ).
tff(c_25589,plain,
! [Z_384] : ( multiply(sk_c6,multiply(sk_c8,Z_384)) = multiply(sk_c7,Z_384) ),
inference(superposition,[status(thm),theory(equality)],[c_23661,c_25568]) ).
tff(c_25998,plain,
! [Z_384] : ( multiply(sk_c8,Z_384) = Z_384 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25841,c_2,c_25840,c_25589]) ).
tff(c_25849,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_25840,c_25681]) ).
tff(c_25999,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25998,c_25849]) ).
tff(c_26002,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25903,c_25999]) ).
tff(c_26004,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_28,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_26036,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26004,c_28]) ).
tff(c_26003,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_26008,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26003,c_4]) ).
tff(c_26093,plain,
! [Z_396] : ( multiply(sk_c8,multiply(sk_c4,Z_396)) = multiply(identity,Z_396) ),
inference(superposition,[status(thm),theory(equality)],[c_26008,c_26066]) ).
tff(c_26511,plain,
! [Z_408] : ( multiply(sk_c8,multiply(sk_c4,Z_408)) = Z_408 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26093]) ).
tff(c_26526,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_26036,c_26511]) ).
tff(c_27079,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26526,c_27052]) ).
tff(c_27138,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27079]) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_26016,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26004,c_34]) ).
tff(c_27157,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27138,c_26016]) ).
tff(c_27635,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27157,c_4]) ).
tff(c_27656,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_27635,c_26110]) ).
tff(c_27668,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27656]) ).
tff(c_27672,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27668,c_27157]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_26028,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_26004,c_32]) ).
tff(c_26020,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26016,c_4]) ).
tff(c_26090,plain,
! [Z_396] : ( multiply(sk_c7,multiply(sk_c5,Z_396)) = multiply(identity,Z_396) ),
inference(superposition,[status(thm),theory(equality)],[c_26020,c_26066]) ).
tff(c_26112,plain,
! [Z_397] : ( multiply(sk_c7,multiply(sk_c5,Z_397)) = Z_397 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26090]) ).
tff(c_26124,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26028,c_26112]) ).
tff(c_27091,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_26124,c_27052]) ).
tff(c_27139,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27091]) ).
tff(c_36,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_26049,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26004,c_36]) ).
tff(c_26489,plain,
! [Z_407] : ( multiply(sk_c6,multiply(sk_c8,Z_407)) = multiply(sk_c7,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_26049,c_26066]) ).
tff(c_26507,plain,
multiply(sk_c7,sk_c2) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_89,c_26489]) ).
tff(c_27145,plain,
multiply(sk_c6,identity) = multiply(identity,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_27138,c_26507]) ).
tff(c_27159,plain,
multiply(sk_c6,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27145]) ).
tff(c_27733,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27139,c_27159]) ).
tff(c_27736,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27733,c_85]) ).
tff(c_27738,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27672,c_27736]) ).
tff(c_27336,plain,
! [X_419,Z_420] : ( multiply(inverse(inverse(X_419)),Z_420) = multiply(X_419,Z_420) ),
inference(superposition,[status(thm),theory(equality)],[c_26110,c_27052]) ).
tff(c_27343,plain,
! [X_419] : ( multiply(X_419,identity) = X_419 ),
inference(superposition,[status(thm),theory(equality)],[c_27336,c_27130]) ).
tff(c_27180,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27157,c_4]) ).
tff(c_27187,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_27180,c_26110]) ).
tff(c_27199,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27187]) ).
tff(c_27203,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27199,c_27157]) ).
tff(c_26174,plain,
! [X_400,Z_401] : ( multiply(inverse(X_400),multiply(X_400,Z_401)) = Z_401 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26099]) ).
tff(c_26201,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_26124,c_26174]) ).
tff(c_26245,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26201]) ).
tff(c_26138,plain,
! [Z_398] : ( multiply(sk_c8,multiply(sk_c4,Z_398)) = Z_398 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26093]) ).
tff(c_26150,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_26036,c_26138]) ).
tff(c_26195,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26150,c_26174]) ).
tff(c_26244,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26195]) ).
tff(c_26129,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26049,c_68]) ).
tff(c_26130,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_26129]) ).
tff(c_26253,plain,
multiply(identity,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26244,c_26130]) ).
tff(c_26261,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26253]) ).
tff(c_26270,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_26245,c_26261]) ).
tff(c_26255,plain,
multiply(sk_c6,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26244,c_26049]) ).
tff(c_26410,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26245,c_26255]) ).
tff(c_26411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26270,c_26410]) ).
tff(c_26413,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_26129]) ).
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_26417,plain,
! [Z_5] : ( multiply(sk_c7,multiply(sk_c8,Z_5)) = multiply(sk_c6,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_26413,c_6]) ).
tff(c_27225,plain,
! [Z_417] : ( multiply(sk_c8,Z_417) = Z_417 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27139,c_2,c_27138,c_26417]) ).
tff(c_27246,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_27225,c_89]) ).
tff(c_27277,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27246,c_85]) ).
tff(c_27280,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27203,c_27277]) ).
tff(c_26412,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_26129]) ).
tff(c_26465,plain,
! [X2_406] :
( ( inverse(X2_406) != sk_c7 )
| ( multiply(X2_406,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_26412]) ).
tff(c_26475,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26028,c_26465]) ).
tff(c_26487,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26016,c_26475]) ).
tff(c_26488,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_26412]) ).
tff(c_26565,plain,
! [X3_409] :
( ( inverse(X3_409) != sk_c7 )
| ( multiply(X3_409,sk_c7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_26488]) ).
tff(c_26582,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26565]) ).
tff(c_26591,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_26582]) ).
tff(c_26592,plain,
! [X_410,Z_411] : ( multiply(inverse(X_410),multiply(X_410,Z_411)) = Z_411 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26099]) ).
tff(c_26631,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_26124,c_26592]) ).
tff(c_26679,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26631]) ).
tff(c_26619,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26526,c_26592]) ).
tff(c_26678,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26619]) ).
tff(c_26729,plain,
multiply(sk_c6,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26678,c_26049]) ).
tff(c_26873,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26679,c_26729]) ).
tff(c_26874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26591,c_26873]) ).
tff(c_26876,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_26582]) ).
tff(c_26586,plain,
( ( inverse(identity) != sk_c7 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_26565]) ).
tff(c_26590,plain,
sk_c8 != sk_c7,
inference(splitLeft,[status(thm)],[c_26586]) ).
tff(c_26877,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_26876,c_26590]) ).
tff(c_26888,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26876,c_26008]) ).
tff(c_26966,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_26888,c_2]) ).
tff(c_26887,plain,
multiply(sk_c4,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_26876,c_26036]) ).
tff(c_26983,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26966,c_26887]) ).
tff(c_26984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26877,c_26983]) ).
tff(c_26986,plain,
sk_c8 = sk_c7,
inference(splitRight,[status(thm)],[c_26586]) ).
tff(c_26578,plain,
( ( inverse(sk_c5) != sk_c7 )
| ( sk_c8 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_26028,c_26565]) ).
tff(c_26589,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26016,c_26578]) ).
tff(c_26989,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26986,c_26589]) ).
tff(c_26995,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26986,c_26413]) ).
tff(c_26081,plain,
! [Z_396] : ( multiply(sk_c6,multiply(sk_c8,Z_396)) = multiply(sk_c7,Z_396) ),
inference(superposition,[status(thm),theory(equality)],[c_26049,c_26066]) ).
tff(c_26533,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_26526,c_26081]) ).
tff(c_26539,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_26049,c_26533]) ).
tff(c_27048,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26995,c_26539]) ).
tff(c_27050,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26989,c_27048]) ).
tff(c_27051,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_26488]) ).
tff(c_27171,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != identity )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27138,c_27138,c_27051]) ).
tff(c_27172,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity ) ),
inference(splitLeft,[status(thm)],[c_27171]) ).
tff(c_27607,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27343,c_27280,c_27280,c_27172]) ).
tff(c_27609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27607,c_27203]) ).
tff(c_27610,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != identity ) ),
inference(splitRight,[status(thm)],[c_27171]) ).
tff(c_28843,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27840,c_27738,c_2,c_27738,c_27738,c_27610]) ).
tff(c_28845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28843,c_27672]) ).
tff(c_28847,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_58,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_28903,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_28847,c_58]) ).
tff(c_60,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_28855,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_28847,c_60]) ).
tff(c_28859,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28855,c_4]) ).
tff(c_28949,plain,
! [Z_453] : ( multiply(sk_c8,multiply(sk_c4,Z_453)) = multiply(identity,Z_453) ),
inference(superposition,[status(thm),theory(equality)],[c_28859,c_28922]) ).
tff(c_28968,plain,
! [Z_454] : ( multiply(sk_c8,multiply(sk_c4,Z_454)) = Z_454 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28949]) ).
tff(c_28980,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_28903,c_28968]) ).
tff(c_29600,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28980,c_29561]) ).
tff(c_29646,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29600]) ).
tff(c_28846,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_29670,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29646,c_28846]) ).
tff(c_30230,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29670,c_4]) ).
tff(c_30237,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_30230,c_28966]) ).
tff(c_30249,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30237]) ).
tff(c_30253,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30249,c_29670]) ).
tff(c_62,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_28898,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_28847,c_62]) ).
tff(c_28851,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28846,c_4]) ).
tff(c_28952,plain,
! [Z_453] : ( multiply(sk_c7,multiply(sk_c5,Z_453)) = multiply(identity,Z_453) ),
inference(superposition,[status(thm),theory(equality)],[c_28851,c_28922]) ).
tff(c_29484,plain,
! [Z_465] : ( multiply(sk_c7,multiply(sk_c5,Z_465)) = Z_465 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28952]) ).
tff(c_29496,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28898,c_29484]) ).
tff(c_29591,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29496,c_29561]) ).
tff(c_29645,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29591]) ).
tff(c_66,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_28892,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_28847,c_66]) ).
tff(c_28943,plain,
! [Z_453] : ( multiply(sk_c6,multiply(sk_c8,Z_453)) = multiply(sk_c7,Z_453) ),
inference(superposition,[status(thm),theory(equality)],[c_28892,c_28922]) ).
tff(c_30186,plain,
! [Z_478] : ( multiply(sk_c8,Z_478) = Z_478 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_29645,c_29646,c_28943]) ).
tff(c_30201,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_30186,c_28859]) ).
tff(c_30216,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_30201,c_28855]) ).
tff(c_30284,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30253,c_30216]) ).
tff(c_29908,plain,
! [X_471,Z_472] : ( multiply(inverse(inverse(X_471)),Z_472) = multiply(X_471,Z_472) ),
inference(superposition,[status(thm),theory(equality)],[c_29561,c_28966]) ).
tff(c_29915,plain,
! [X_471] : ( multiply(X_471,identity) = X_471 ),
inference(superposition,[status(thm),theory(equality)],[c_29908,c_29636]) ).
tff(c_29655,plain,
multiply(identity,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29645,c_28892]) ).
tff(c_29772,plain,
multiply(identity,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29646,c_29655]) ).
tff(c_29776,plain,
multiply(inverse(identity),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29772,c_28966]) ).
tff(c_29788,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29776]) ).
tff(c_29068,plain,
! [X_458,Z_459] : ( multiply(inverse(X_458),multiply(X_458,Z_459)) = Z_459 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28955]) ).
tff(c_29104,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28980,c_29068]) ).
tff(c_29149,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29104]) ).
tff(c_29205,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29149,c_28846]) ).
tff(c_29219,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29205,c_4]) ).
tff(c_29226,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_29219,c_28966]) ).
tff(c_29238,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29226]) ).
tff(c_29242,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29238,c_29205]) ).
tff(c_28994,plain,
! [Z_455] : ( multiply(sk_c7,multiply(sk_c5,Z_455)) = Z_455 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28952]) ).
tff(c_29006,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28898,c_28994]) ).
tff(c_29098,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29006,c_29068]) ).
tff(c_29148,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29098]) ).
tff(c_29017,plain,
! [Z_456] : ( multiply(sk_c6,multiply(sk_c8,Z_456)) = multiply(sk_c7,Z_456) ),
inference(superposition,[status(thm),theory(equality)],[c_28892,c_28922]) ).
tff(c_29035,plain,
multiply(sk_c7,sk_c4) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_28859,c_29017]) ).
tff(c_29155,plain,
multiply(sk_c7,sk_c4) = multiply(identity,identity),
inference(demodulation,[status(thm),theory(equality)],[c_29148,c_29035]) ).
tff(c_29161,plain,
multiply(sk_c7,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29155]) ).
tff(c_29273,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29149,c_29161]) ).
tff(c_29276,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29273,c_28855]) ).
tff(c_29278,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29242,c_29276]) ).
tff(c_28992,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28892,c_68]) ).
tff(c_28993,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_28992]) ).
tff(c_29158,plain,
multiply(sk_c7,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29148,c_28993]) ).
tff(c_29327,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29278,c_2,c_29149,c_29158]) ).
tff(c_29328,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_28992]) ).
tff(c_29453,plain,
! [X2_464] :
( ( inverse(X2_464) != sk_c7 )
| ( multiply(X2_464,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_29328]) ).
tff(c_29469,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28898,c_29453]) ).
tff(c_29482,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28846,c_29469]) ).
tff(c_29483,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_29328]) ).
tff(c_29678,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != identity )
| ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29646,c_29646,c_29646,c_29646,c_29483]) ).
tff(c_29679,plain,
! [X3_7] :
( ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_29678]) ).
tff(c_30180,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29915,c_29788,c_29679]) ).
tff(c_29687,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29670,c_4]) ).
tff(c_29704,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_29687,c_28966]) ).
tff(c_29716,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29704]) ).
tff(c_29720,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29716,c_29670]) ).
tff(c_30182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30180,c_29720]) ).
tff(c_30183,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != identity )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity ) ),
inference(splitRight,[status(thm)],[c_29678]) ).
tff(c_44681,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30380,c_30284,c_30284,c_30380,c_30284,c_2,c_30284,c_30284,c_30183]) ).
tff(c_44683,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_44681]) ).
tff(c_44685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44683,c_30253]) ).
tff(c_44687,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_44681]) ).
tff(c_44689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44687,c_30253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP320-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.37 % Computer : n018.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Aug 3 22:18:06 EDT 2023
% 0.14/0.37 % CPUTime :
% 13.64/4.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.84/5.08
% 13.84/5.08 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.13/5.16
% 14.13/5.16 Inference rules
% 14.13/5.16 ----------------------
% 14.13/5.16 #Ref : 0
% 14.13/5.16 #Sup : 11118
% 14.13/5.16 #Fact : 0
% 14.13/5.16 #Define : 0
% 14.13/5.16 #Split : 54
% 14.13/5.16 #Chain : 0
% 14.13/5.16 #Close : 0
% 14.13/5.16
% 14.13/5.16 Ordering : KBO
% 14.13/5.16
% 14.13/5.16 Simplification rules
% 14.13/5.16 ----------------------
% 14.13/5.16 #Subsume : 27
% 14.13/5.16 #Demod : 24992
% 14.13/5.16 #Tautology : 8807
% 14.13/5.16 #SimpNegUnit : 102
% 14.13/5.16 #BackRed : 893
% 14.13/5.16
% 14.13/5.16 #Partial instantiations: 0
% 14.13/5.16 #Strategies tried : 1
% 14.13/5.16
% 14.13/5.16 Timing (in seconds)
% 14.13/5.16 ----------------------
% 14.13/5.16 Preprocessing : 0.52
% 14.13/5.16 Parsing : 0.21
% 14.13/5.16 CNF conversion : 0.03
% 14.13/5.16 Main loop : 3.42
% 14.13/5.16 Inferencing : 1.02
% 14.13/5.16 Reduction : 1.72
% 14.13/5.16 Demodulation : 1.52
% 14.13/5.16 BG Simplification : 0.10
% 14.13/5.16 Subsumption : 0.36
% 14.13/5.16 Abstraction : 0.20
% 14.13/5.16 MUC search : 0.00
% 14.13/5.16 Cooper : 0.00
% 14.13/5.16 Total : 4.13
% 14.13/5.16 Index Insertion : 0.00
% 14.13/5.16 Index Deletion : 0.00
% 14.13/5.16 Index Matching : 0.00
% 14.13/5.16 BG Taut test : 0.00
%------------------------------------------------------------------------------