TSTP Solution File: GRP324-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP324-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.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 10:40:56 EDT 2023
% Result : Unsatisfiable 18.11s 8.44s
% Output : CNFRefutation 18.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 45
% Syntax : Number of formulae : 604 ( 506 unt; 11 typ; 0 def)
% Number of atoms : 820 ( 787 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 479 ( 252 ~; 227 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 299 (; 299 !; 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_125,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_206,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(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( inverse(X2) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_80,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_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_72592,plain,
! [X_644,Y_645,Z_646] : ( multiply(multiply(X_644,Y_645),Z_646) = multiply(X_644,multiply(Y_645,Z_646)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_72628,plain,
! [X_2,Z_646] : ( multiply(inverse(X_2),multiply(X_2,Z_646)) = multiply(identity,Z_646) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_72592]) ).
tff(c_72964,plain,
! [X_651,Z_652] : ( multiply(inverse(X_651),multiply(X_651,Z_652)) = Z_652 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72628]) ).
tff(c_72640,plain,
! [X_2,Z_646] : ( multiply(inverse(X_2),multiply(X_2,Z_646)) = Z_646 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72628]) ).
tff(c_73288,plain,
! [X_655,Z_656] : ( multiply(inverse(inverse(X_655)),Z_656) = multiply(X_655,Z_656) ),
inference(superposition,[status(thm),theory(equality)],[c_72964,c_72640]) ).
tff(c_73006,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_72964]) ).
tff(c_73295,plain,
! [X_655] : ( multiply(X_655,identity) = X_655 ),
inference(superposition,[status(thm),theory(equality)],[c_73288,c_73006]) ).
tff(c_46829,plain,
! [X_440,Y_441,Z_442] : ( multiply(multiply(X_440,Y_441),Z_442) = multiply(X_440,multiply(Y_441,Z_442)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_46865,plain,
! [X_2,Z_442] : ( multiply(inverse(X_2),multiply(X_2,Z_442)) = multiply(identity,Z_442) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_46829]) ).
tff(c_48037,plain,
! [X_466,Z_467] : ( multiply(inverse(X_466),multiply(X_466,Z_467)) = Z_467 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46865]) ).
tff(c_46877,plain,
! [X_2,Z_442] : ( multiply(inverse(X_2),multiply(X_2,Z_442)) = Z_442 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46865]) ).
tff(c_48274,plain,
! [X_470,Z_471] : ( multiply(inverse(inverse(X_470)),Z_471) = multiply(X_470,Z_471) ),
inference(superposition,[status(thm),theory(equality)],[c_48037,c_46877]) ).
tff(c_48088,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_48037]) ).
tff(c_48281,plain,
! [X_470] : ( multiply(X_470,identity) = X_470 ),
inference(superposition,[status(thm),theory(equality)],[c_48274,c_48088]) ).
tff(c_48,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_130,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_64,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_32637,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_74,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_97,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_101,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_32660,plain,
! [X_232,Y_233,Z_234] : ( multiply(multiply(X_232,Y_233),Z_234) = multiply(X_232,multiply(Y_233,Z_234)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32705,plain,
! [Z_234] : ( multiply(sk_c8,multiply(sk_c2,Z_234)) = multiply(identity,Z_234) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_32660]) ).
tff(c_33085,plain,
! [Z_241] : ( multiply(sk_c8,multiply(sk_c2,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32705]) ).
tff(c_33097,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_32637,c_33085]) ).
tff(c_33101,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_130,c_33097]) ).
tff(c_14,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_125,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_33112,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33101,c_125]) ).
tff(c_171,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_204,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_171]) ).
tff(c_214,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_270,plain,
! [X_17,Z_18] : ( multiply(inverse(X_17),multiply(X_17,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_610,plain,
! [X_22,Z_23] : ( multiply(inverse(inverse(X_22)),Z_23) = multiply(X_22,Z_23) ),
inference(superposition,[status(thm),theory(equality)],[c_214,c_270]) ).
tff(c_300,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_270]) ).
tff(c_617,plain,
! [X_22] : ( multiply(X_22,identity) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_610,c_300]) ).
tff(c_26,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_138,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_36,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_110,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_114,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_110,c_4]) ).
tff(c_198,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_171]) ).
tff(c_216,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_198]) ).
tff(c_228,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_138,c_216]) ).
tff(c_232,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_228]) ).
tff(c_236,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_125]) ).
tff(c_385,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_236,c_214]) ).
tff(c_391,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_385]) ).
tff(c_62,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_146,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_291,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_146,c_270]) ).
tff(c_307,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_291]) ).
tff(c_321,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_307,c_214]) ).
tff(c_327,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_321]) ).
tff(c_235,plain,
multiply(sk_c8,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_232,c_130]) ).
tff(c_497,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_391,c_327,c_235]) ).
tff(c_428,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_391,c_97]) ).
tff(c_441,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_428,c_4]) ).
tff(c_461,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_441,c_214]) ).
tff(c_473,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_461]) ).
tff(c_477,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_473,c_428]) ).
tff(c_80,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_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_206]) ).
tff(c_243,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(sk_c8) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 )
| ( multiply(sk_c8,sk_c6) != 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_232,c_232,c_232,c_232,c_232,c_232,c_232,c_232,c_80]) ).
tff(c_244,plain,
multiply(sk_c6,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_243]) ).
tff(c_267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_236]) ).
tff(c_268,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( multiply(sk_c8,sk_c6) != sk_c6 )
| ( inverse(sk_c8) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c8 )
| ( 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_243]) ).
tff(c_7423,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_617,c_497,c_497,c_497,c_617,c_497,c_391,c_391,c_617,c_497,c_391,c_2,c_391,c_391,c_617,c_497,c_391,c_497,c_497,c_477,c_391,c_2,c_391,c_268]) ).
tff(c_7425,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_7423]) ).
tff(c_7427,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7425,c_477]) ).
tff(c_7428,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_7423]) ).
tff(c_32173,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_7428]) ).
tff(c_32175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32173,c_477]) ).
tff(c_32176,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_7428]) ).
tff(c_32178,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_32176]) ).
tff(c_32180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32178,c_477]) ).
tff(c_32182,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_32176]) ).
tff(c_32184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32182,c_477]) ).
tff(c_32185,plain,
inverse(sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_32190,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32185,c_4]) ).
tff(c_32252,plain,
! [X_226,Y_227,Z_228] : ( multiply(multiply(X_226,Y_227),Z_228) = multiply(X_226,multiply(Y_227,Z_228)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32294,plain,
! [Z_228] : ( multiply(sk_c7,multiply(sk_c1,Z_228)) = multiply(identity,Z_228) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_32252]) ).
tff(c_32315,plain,
! [Z_229] : ( multiply(sk_c7,multiply(sk_c1,Z_229)) = Z_229 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32294]) ).
tff(c_32327,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_138,c_32315]) ).
tff(c_32331,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_32327]) ).
tff(c_32340,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_32331,c_125]) ).
tff(c_32343,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32190,c_32340]) ).
tff(c_32348,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32343,c_32331]) ).
tff(c_32359,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != identity )
| ( inverse(sk_c8) != identity )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity )
| ( multiply(sk_c8,identity) != 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 )
| ( sk_c8 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32348,c_32343,c_32348,c_32348,c_32348,c_32348,c_32343,c_32348,c_32343,c_32348,c_32343,c_32348,c_80]) ).
tff(c_32360,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_32359]) ).
tff(c_32350,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32343,c_32185]) ).
tff(c_32372,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32350,c_4]) ).
tff(c_32382,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_32372,c_2]) ).
tff(c_32390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32360,c_32382]) ).
tff(c_32392,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_32359]) ).
tff(c_32397,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32392,c_97]) ).
tff(c_32482,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32397,c_4]) ).
tff(c_32300,plain,
! [X_2,Z_228] : ( multiply(inverse(X_2),multiply(X_2,Z_228)) = multiply(identity,Z_228) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32252]) ).
tff(c_32313,plain,
! [X_2,Z_228] : ( multiply(inverse(X_2),multiply(X_2,Z_228)) = Z_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32300]) ).
tff(c_32555,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_32482,c_32313]) ).
tff(c_32567,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32555]) ).
tff(c_32339,plain,
multiply(sk_c8,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_32331,c_130]) ).
tff(c_32522,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32392,c_32343,c_32339]) ).
tff(c_32186,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_32395,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_32392,c_32186]) ).
tff(c_32584,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32567,c_32522,c_32395]) ).
tff(c_32586,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_32594,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32586,c_24]) ).
tff(c_33108,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33101,c_32594]) ).
tff(c_22,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_32654,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32586,c_22]) ).
tff(c_33103,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33101,c_32654]) ).
tff(c_32708,plain,
! [X_2,Z_234] : ( multiply(inverse(X_2),multiply(X_2,Z_234)) = multiply(identity,Z_234) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32660]) ).
tff(c_33239,plain,
! [X_243,Z_244] : ( multiply(inverse(X_243),multiply(X_243,Z_244)) = Z_244 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32708]) ).
tff(c_33263,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33103,c_33239]) ).
tff(c_33319,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33112,c_33108,c_33263]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_32618,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32586,c_30]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_32647,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_32586,c_28]) ).
tff(c_33296,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32647,c_33239]) ).
tff(c_33326,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32618,c_33296]) ).
tff(c_33445,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33319,c_33319,c_33326]) ).
tff(c_32721,plain,
! [X_2,Z_234] : ( multiply(inverse(X_2),multiply(X_2,Z_234)) = Z_234 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32708]) ).
tff(c_33452,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_33445,c_32721]) ).
tff(c_33458,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33452]) ).
tff(c_32585,plain,
inverse(sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_33110,plain,
inverse(sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33101,c_32585]) ).
tff(c_33305,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_114,c_33239]) ).
tff(c_33328,plain,
multiply(sk_c6,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_33110,c_33305]) ).
tff(c_33533,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33458,c_33328]) ).
tff(c_33109,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33101,c_32586]) ).
tff(c_33339,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33319,c_33319,c_33109]) ).
tff(c_33571,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33533,c_33458,c_33458,c_33339]) ).
tff(c_33572,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_32622,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32618,c_4]) ).
tff(c_33595,plain,
! [X_246,Y_247,Z_248] : ( multiply(multiply(X_246,Y_247),Z_248) = multiply(X_246,multiply(Y_247,Z_248)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33619,plain,
! [Z_248] : ( multiply(sk_c7,multiply(sk_c5,Z_248)) = multiply(identity,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_32622,c_33595]) ).
tff(c_33681,plain,
! [Z_251] : ( multiply(sk_c7,multiply(sk_c5,Z_251)) = Z_251 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33619]) ).
tff(c_33693,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33572,c_33681]) ).
tff(c_33640,plain,
! [X_2,Z_248] : ( multiply(inverse(X_2),multiply(X_2,Z_248)) = multiply(identity,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33595]) ).
tff(c_33941,plain,
! [X_254,Z_255] : ( multiply(inverse(X_254),multiply(X_254,Z_255)) = Z_255 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33640]) ).
tff(c_33986,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_33693,c_33941]) ).
tff(c_34026,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33986]) ).
tff(c_20,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_33586,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_32586,c_20]) ).
tff(c_33578,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32586,c_22]) ).
tff(c_32598,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32594,c_4]) ).
tff(c_33622,plain,
! [Z_248] : ( multiply(sk_c8,multiply(sk_c4,Z_248)) = multiply(identity,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_32598,c_33595]) ).
tff(c_33704,plain,
! [Z_252] : ( multiply(sk_c8,multiply(sk_c4,Z_252)) = Z_252 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33622]) ).
tff(c_33716,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33578,c_33704]) ).
tff(c_33720,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33586,c_33716]) ).
tff(c_33867,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33720,c_97]) ).
tff(c_33889,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33867,c_4]) ).
tff(c_34127,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34026,c_33889]) ).
tff(c_33856,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33720,c_33586]) ).
tff(c_33863,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33720,c_32585]) ).
tff(c_33864,plain,
multiply(sk_c6,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33720,c_130]) ).
tff(c_33968,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_33864,c_33941]) ).
tff(c_34023,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_33856,c_33863,c_33968]) ).
tff(c_34058,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34026,c_34023]) ).
tff(c_33573,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_33858,plain,
multiply(sk_c2,sk_c6) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_33720,c_33573]) ).
tff(c_34049,plain,
multiply(sk_c2,sk_c3) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_34023,c_33858]) ).
tff(c_34139,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34127,c_34058,c_34058,c_34049]) ).
tff(c_34141,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_44,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_43015,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_34141,c_44]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_43004,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34141,c_46]) ).
tff(c_34140,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_34145,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34140,c_4]) ).
tff(c_43029,plain,
! [X_359,Y_360,Z_361] : ( multiply(multiply(X_359,Y_360),Z_361) = multiply(X_359,multiply(Y_360,Z_361)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_43062,plain,
! [Z_361] : ( multiply(sk_c8,multiply(sk_c4,Z_361)) = multiply(identity,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_34145,c_43029]) ).
tff(c_43314,plain,
! [Z_370] : ( multiply(sk_c8,multiply(sk_c4,Z_370)) = Z_370 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43062]) ).
tff(c_43329,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43004,c_43314]) ).
tff(c_43333,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43015,c_43329]) ).
tff(c_56,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_43010,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_43071,plain,
! [Z_361] : ( multiply(sk_c8,multiply(sk_c2,Z_361)) = multiply(identity,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_43029]) ).
tff(c_43243,plain,
! [Z_368] : ( multiply(sk_c8,multiply(sk_c2,Z_368)) = Z_368 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43071]) ).
tff(c_43255,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43010,c_43243]) ).
tff(c_43287,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_43255,c_34141]) ).
tff(c_43422,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43333,c_43287]) ).
tff(c_43434,plain,
multiply(sk_c7,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43333,c_125]) ).
tff(c_34565,plain,
! [X_262,Y_263,Z_264] : ( multiply(multiply(X_262,Y_263),Z_264) = multiply(X_262,multiply(Y_263,Z_264)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34610,plain,
! [X_2,Z_264] : ( multiply(inverse(X_2),multiply(X_2,Z_264)) = multiply(identity,Z_264) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34565]) ).
tff(c_34751,plain,
! [X_266,Z_267] : ( multiply(inverse(X_266),multiply(X_266,Z_267)) = Z_267 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34610]) ).
tff(c_34623,plain,
! [X_2,Z_264] : ( multiply(inverse(X_2),multiply(X_2,Z_264)) = Z_264 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34610]) ).
tff(c_34986,plain,
! [X_270,Z_271] : ( multiply(inverse(inverse(X_270)),Z_271) = multiply(X_270,Z_271) ),
inference(superposition,[status(thm),theory(equality)],[c_34751,c_34623]) ).
tff(c_34787,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34751]) ).
tff(c_34997,plain,
! [X_270] : ( multiply(X_270,identity) = X_270 ),
inference(superposition,[status(thm),theory(equality)],[c_34986,c_34787]) ).
tff(c_50,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_34175,plain,
inverse(sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_34141,c_50]) ).
tff(c_34179,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34175,c_4]) ).
tff(c_34153,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_34604,plain,
! [Z_264] : ( multiply(sk_c7,multiply(sk_c1,Z_264)) = multiply(identity,Z_264) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_34565]) ).
tff(c_34625,plain,
! [Z_265] : ( multiply(sk_c7,multiply(sk_c1,Z_265)) = Z_265 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34604]) ).
tff(c_34637,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34153,c_34625]) ).
tff(c_34641,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_34637]) ).
tff(c_34650,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34641,c_125]) ).
tff(c_34653,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34179,c_34650]) ).
tff(c_34658,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34653,c_34641]) ).
tff(c_34677,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != identity )
| ( inverse(sk_c8) != identity )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity )
| ( multiply(sk_c8,identity) != 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 )
| ( sk_c8 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34658,c_34653,c_34658,c_34658,c_34658,c_34658,c_34653,c_34658,c_34653,c_34658,c_34653,c_34658,c_80]) ).
tff(c_34678,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_34677]) ).
tff(c_34660,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34653,c_34175]) ).
tff(c_34682,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34660,c_4]) ).
tff(c_34700,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_34682,c_2]) ).
tff(c_34708,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34678,c_34700]) ).
tff(c_34710,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_34677]) ).
tff(c_34720,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34710,c_34660]) ).
tff(c_34709,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( multiply(sk_c8,identity) != identity )
| ( inverse(sk_c8) != identity )
| ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c8 )
| ( 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 )
| ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_34677]) ).
tff(c_42515,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34997,c_34997,c_34710,c_34710,c_34997,c_34710,c_2,c_34710,c_34710,c_34997,c_34710,c_34720,c_34710,c_2,c_34710,c_34709]) ).
tff(c_42517,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_42515]) ).
tff(c_42519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42517,c_34720]) ).
tff(c_42520,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_42515]) ).
tff(c_42943,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_42520]) ).
tff(c_42945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42943,c_34720]) ).
tff(c_42946,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_42520]) ).
tff(c_42948,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_42946]) ).
tff(c_42950,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42948,c_34720]) ).
tff(c_42953,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_42946]) ).
tff(c_42955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42953,c_34720]) ).
tff(c_42956,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_42957,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_42999,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_42957,c_28]) ).
tff(c_43074,plain,
! [X_2,Z_361] : ( multiply(inverse(X_2),multiply(X_2,Z_361)) = multiply(identity,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_43029]) ).
tff(c_43565,plain,
! [X_373,Z_374] : ( multiply(inverse(X_373),multiply(X_373,Z_374)) = Z_374 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43074]) ).
tff(c_43631,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_42999,c_43565]) ).
tff(c_43663,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43434,c_42956,c_43631]) ).
tff(c_43665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43422,c_43663]) ).
tff(c_43666,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_42973,plain,
inverse(sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_42957,c_26]) ).
tff(c_42977,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42973,c_4]) ).
tff(c_43685,plain,
! [X_375,Y_376,Z_377] : ( multiply(multiply(X_375,Y_376),Z_377) = multiply(X_375,multiply(Y_376,Z_377)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_43709,plain,
! [Z_377] : ( multiply(sk_c6,multiply(sk_c8,Z_377)) = multiply(identity,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_42977,c_43685]) ).
tff(c_43768,plain,
! [Z_380] : ( multiply(sk_c6,multiply(sk_c8,Z_380)) = Z_380 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43709]) ).
tff(c_43789,plain,
multiply(sk_c6,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_101,c_43768]) ).
tff(c_43786,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_34145,c_43768]) ).
tff(c_43897,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_43789,c_43786]) ).
tff(c_43906,plain,
multiply(sk_c2,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_43897,c_43004]) ).
tff(c_43724,plain,
! [Z_377] : ( multiply(sk_c8,multiply(sk_c2,Z_377)) = multiply(identity,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_43685]) ).
tff(c_43739,plain,
! [Z_377] : ( multiply(sk_c8,multiply(sk_c2,Z_377)) = Z_377 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43724]) ).
tff(c_43919,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43906,c_43739]) ).
tff(c_43925,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43666,c_43919]) ).
tff(c_44019,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43925,c_42977]) ).
tff(c_43783,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_43666,c_43768]) ).
tff(c_44076,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44019,c_43783]) ).
tff(c_44095,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44076,c_114]) ).
tff(c_43727,plain,
! [X_2,Z_377] : ( multiply(inverse(X_2),multiply(X_2,Z_377)) = multiply(identity,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_43685]) ).
tff(c_43740,plain,
! [X_2,Z_377] : ( multiply(inverse(X_2),multiply(X_2,Z_377)) = Z_377 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43727]) ).
tff(c_44263,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_44095,c_43740]) ).
tff(c_44275,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44263]) ).
tff(c_44094,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44076,c_42956]) ).
tff(c_44172,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44094,c_4]) ).
tff(c_44181,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_44172,c_43740]) ).
tff(c_44193,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44181]) ).
tff(c_44018,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43925,c_43666]) ).
tff(c_44089,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44076,c_44018]) ).
tff(c_44098,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_43789,c_44089]) ).
tff(c_44092,plain,
multiply(sk_c5,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44076,c_42999]) ).
tff(c_44217,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44193,c_44098,c_44092]) ).
tff(c_44021,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43925,c_42957]) ).
tff(c_44088,plain,
multiply(sk_c1,identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44076,c_44021]) ).
tff(c_44177,plain,
multiply(sk_c1,identity) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_44098,c_44088]) ).
tff(c_44218,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_44217,c_44177]) ).
tff(c_44298,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44275,c_44218]) ).
tff(c_44300,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_44312,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_44300,c_18]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_46024,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_44300,c_16]) ).
tff(c_46443,plain,
! [X_431,Y_432,Z_433] : ( multiply(multiply(X_431,Y_432),Z_433) = multiply(X_431,multiply(Y_432,Z_433)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_46482,plain,
! [X_2,Z_433] : ( multiply(inverse(X_2),multiply(X_2,Z_433)) = multiply(identity,Z_433) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_46443]) ).
tff(c_46597,plain,
! [X_437,Z_438] : ( multiply(inverse(X_437),multiply(X_437,Z_438)) = Z_438 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46482]) ).
tff(c_46636,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_46024,c_46597]) ).
tff(c_46660,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44312,c_46636]) ).
tff(c_46495,plain,
! [X_2,Z_433] : ( multiply(inverse(X_2),multiply(X_2,Z_433)) = Z_433 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46482]) ).
tff(c_46666,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_46660,c_46495]) ).
tff(c_46672,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46666]) ).
tff(c_44675,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_44300,c_16]) ).
tff(c_44694,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_44739,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_44694]) ).
tff(c_44880,plain,
! [X_401,Z_402] : ( multiply(inverse(X_401),multiply(X_401,Z_402)) = Z_402 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44739]) ).
tff(c_44910,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_44675,c_44880]) ).
tff(c_44932,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44312,c_44910]) ).
tff(c_44752,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_44739]) ).
tff(c_44947,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_44932,c_44752]) ).
tff(c_44953,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44947]) ).
tff(c_44367,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_44300,c_16]) ).
tff(c_44387,plain,
! [X_387,Y_388,Z_389] : ( multiply(multiply(X_387,Y_388),Z_389) = multiply(X_387,multiply(Y_388,Z_389)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_44435,plain,
! [X_2,Z_389] : ( multiply(inverse(X_2),multiply(X_2,Z_389)) = multiply(identity,Z_389) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_44387]) ).
tff(c_44554,plain,
! [X_392,Z_393] : ( multiply(inverse(X_392),multiply(X_392,Z_393)) = Z_393 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44435]) ).
tff(c_44596,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_44367,c_44554]) ).
tff(c_44622,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44312,c_44596]) ).
tff(c_44448,plain,
! [X_2,Z_389] : ( multiply(inverse(X_2),multiply(X_2,Z_389)) = Z_389 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44435]) ).
tff(c_44635,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_44622,c_44448]) ).
tff(c_44641,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44635]) ).
tff(c_44330,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_58,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_44360,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_44432,plain,
! [Z_389] : ( multiply(sk_c8,multiply(sk_c2,Z_389)) = multiply(identity,Z_389) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_44387]) ).
tff(c_44476,plain,
! [Z_391] : ( multiply(sk_c8,multiply(sk_c2,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44432]) ).
tff(c_44488,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_44360,c_44476]) ).
tff(c_44492,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44330,c_44488]) ).
tff(c_44299,plain,
inverse(sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_44503,plain,
inverse(sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44492,c_44299]) ).
tff(c_44535,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44503,c_4]) ).
tff(c_44651,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44641,c_44535]) ).
tff(c_44355,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_44429,plain,
! [Z_389] : ( multiply(sk_c7,multiply(sk_c1,Z_389)) = multiply(identity,Z_389) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_44387]) ).
tff(c_44450,plain,
! [Z_390] : ( multiply(sk_c7,multiply(sk_c1,Z_390)) = Z_390 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44429]) ).
tff(c_44462,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_44355,c_44450]) ).
tff(c_44466,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44462,c_44300]) ).
tff(c_44645,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_44641,c_44466]) ).
tff(c_44666,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44651,c_44645]) ).
tff(c_44668,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_44681,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_44668,c_56]) ).
tff(c_44667,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_12,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_44336,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_44300,c_12]) ).
tff(c_44340,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44336,c_4]) ).
tff(c_44721,plain,
! [Z_396] : ( multiply(sk_c8,multiply(sk_c4,Z_396)) = multiply(identity,Z_396) ),
inference(superposition,[status(thm),theory(equality)],[c_44340,c_44694]) ).
tff(c_44829,plain,
! [Z_400] : ( multiply(sk_c8,multiply(sk_c4,Z_400)) = Z_400 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44721]) ).
tff(c_44841,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_44667,c_44829]) ).
tff(c_44845,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44681,c_44841]) ).
tff(c_44857,plain,
multiply(sk_c6,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44845,c_44330]) ).
tff(c_45072,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44953,c_44857]) ).
tff(c_44733,plain,
! [Z_396] : ( multiply(sk_c7,multiply(sk_c1,Z_396)) = multiply(identity,Z_396) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_44694]) ).
tff(c_44754,plain,
! [Z_397] : ( multiply(sk_c7,multiply(sk_c1,Z_397)) = Z_397 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44733]) ).
tff(c_44766,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_44355,c_44754]) ).
tff(c_44772,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44766,c_44300]) ).
tff(c_44960,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_44953,c_44772]) ).
tff(c_45076,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_45072,c_44960]) ).
tff(c_44856,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44845,c_44336]) ).
tff(c_44869,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44856,c_4]) ).
tff(c_44966,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44953,c_44869]) ).
tff(c_44853,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44845,c_44667]) ).
tff(c_45125,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45072,c_2,c_44966,c_44953,c_44853]) ).
tff(c_45126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45076,c_45125]) ).
tff(c_45127,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_45624,plain,
! [X_413,Y_414,Z_415] : ( multiply(multiply(X_413,Y_414),Z_415) = multiply(X_413,multiply(Y_414,Z_415)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_45666,plain,
! [X_2,Z_415] : ( multiply(inverse(X_2),multiply(X_2,Z_415)) = multiply(identity,Z_415) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_45624]) ).
tff(c_45758,plain,
! [X_419,Z_420] : ( multiply(inverse(X_419),multiply(X_419,Z_420)) = Z_420 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45666]) ).
tff(c_45788,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_45127,c_45758]) ).
tff(c_45810,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44312,c_45788]) ).
tff(c_45679,plain,
! [X_2,Z_415] : ( multiply(inverse(X_2),multiply(X_2,Z_415)) = Z_415 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45666]) ).
tff(c_45825,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_45810,c_45679]) ).
tff(c_45831,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45825]) ).
tff(c_45128,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_45606,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_45128,c_20]) ).
tff(c_45159,plain,
! [X_405,Y_406,Z_407] : ( multiply(multiply(X_405,Y_406),Z_407) = multiply(X_405,multiply(Y_406,Z_407)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_45204,plain,
! [X_2,Z_407] : ( multiply(inverse(X_2),multiply(X_2,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_45159]) ).
tff(c_45315,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_45204]) ).
tff(c_45339,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_45127,c_45315]) ).
tff(c_45361,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44312,c_45339]) ).
tff(c_45217,plain,
! [X_2,Z_407] : ( multiply(inverse(X_2),multiply(X_2,Z_407)) = Z_407 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45204]) ).
tff(c_45408,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_45361,c_45217]) ).
tff(c_45414,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45408]) ).
tff(c_45133,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_45201,plain,
! [Z_407] : ( multiply(sk_c8,multiply(sk_c2,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_45159]) ).
tff(c_45232,plain,
! [Z_409] : ( multiply(sk_c8,multiply(sk_c2,Z_409)) = Z_409 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45201]) ).
tff(c_45244,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_45133,c_45232]) ).
tff(c_45248,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44330,c_45244]) ).
tff(c_45259,plain,
inverse(sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45248,c_44299]) ).
tff(c_45389,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_45259,c_4]) ).
tff(c_45510,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45414,c_45389]) ).
tff(c_45258,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45248,c_44300]) ).
tff(c_45597,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45510,c_2,c_45510,c_45414,c_45258]) ).
tff(c_45598,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_45648,plain,
! [Z_415] : ( multiply(sk_c8,multiply(sk_c4,Z_415)) = multiply(identity,Z_415) ),
inference(superposition,[status(thm),theory(equality)],[c_44340,c_45624]) ).
tff(c_45709,plain,
! [Z_418] : ( multiply(sk_c8,multiply(sk_c4,Z_418)) = Z_418 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45648]) ).
tff(c_45721,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_45598,c_45709]) ).
tff(c_45725,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45606,c_45721]) ).
tff(c_45728,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45725,c_45606]) ).
tff(c_45931,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45831,c_2,c_45831,c_45728]) ).
tff(c_45736,plain,
multiply(sk_c7,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45725,c_44300]) ).
tff(c_45999,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45931,c_45831,c_45831,c_45736]) ).
tff(c_46001,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_46029,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_46001,c_44]) ).
tff(c_46034,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_46059,plain,
! [X_422,Y_423,Z_424] : ( multiply(multiply(X_422,Y_423),Z_424) = multiply(X_422,multiply(Y_423,Z_424)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_46098,plain,
! [Z_424] : ( multiply(sk_c7,multiply(sk_c1,Z_424)) = multiply(identity,Z_424) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_46059]) ).
tff(c_46119,plain,
! [Z_425] : ( multiply(sk_c7,multiply(sk_c1,Z_425)) = Z_425 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46098]) ).
tff(c_46131,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_46034,c_46119]) ).
tff(c_46104,plain,
! [X_2,Z_424] : ( multiply(inverse(X_2),multiply(X_2,Z_424)) = multiply(identity,Z_424) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_46059]) ).
tff(c_46169,plain,
! [X_427,Z_428] : ( multiply(inverse(X_427),multiply(X_427,Z_428)) = Z_428 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46104]) ).
tff(c_46193,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_46131,c_46169]) ).
tff(c_46256,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46193]) ).
tff(c_46000,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_46049,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_46001,c_46]) ).
tff(c_46202,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_46049,c_46169]) ).
tff(c_46257,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_46029,c_46000,c_46202]) ).
tff(c_46284,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46256,c_46257]) ).
tff(c_46137,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_46131,c_44300]) ).
tff(c_46329,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_46284,c_46137]) ).
tff(c_46273,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_46257,c_46029]) ).
tff(c_46420,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46284,c_2,c_46284,c_46273]) ).
tff(c_46421,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46329,c_46420]) ).
tff(c_46422,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_46005,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46000,c_4]) ).
tff(c_46467,plain,
! [Z_433] : ( multiply(sk_c8,multiply(sk_c4,Z_433)) = multiply(identity,Z_433) ),
inference(superposition,[status(thm),theory(equality)],[c_46005,c_46443]) ).
tff(c_46525,plain,
! [Z_436] : ( multiply(sk_c8,multiply(sk_c4,Z_436)) = Z_436 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46467]) ).
tff(c_46537,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_46422,c_46525]) ).
tff(c_46541,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_46029,c_46537]) ).
tff(c_46551,plain,
multiply(sk_c7,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_46541,c_44300]) ).
tff(c_46662,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_46660,c_46551]) ).
tff(c_46674,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_46672,c_46662]) ).
tff(c_46546,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_46541,c_46029]) ).
tff(c_46747,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46672,c_2,c_46672,c_46546]) ).
tff(c_46748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46674,c_46747]) ).
tff(c_46750,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_40,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_46805,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_46750,c_40]) ).
tff(c_42,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_46775,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_46750,c_42]) ).
tff(c_46779,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46775,c_4]) ).
tff(c_46853,plain,
! [Z_442] : ( multiply(sk_c7,multiply(sk_c5,Z_442)) = multiply(identity,Z_442) ),
inference(superposition,[status(thm),theory(equality)],[c_46779,c_46829]) ).
tff(c_46879,plain,
! [Z_443] : ( multiply(sk_c7,multiply(sk_c5,Z_443)) = Z_443 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46853]) ).
tff(c_46891,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_46805,c_46879]) ).
tff(c_48070,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_46891,c_48037]) ).
tff(c_48097,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48070]) ).
tff(c_38,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_46758,plain,
inverse(sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_46750,c_38]) ).
tff(c_46762,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46758,c_4]) ).
tff(c_46967,plain,
! [X_446,Z_447] : ( multiply(inverse(X_446),multiply(X_446,Z_447)) = Z_447 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46865]) ).
tff(c_46997,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_46891,c_46967]) ).
tff(c_47047,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46997]) ).
tff(c_32,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_46810,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_46750,c_32]) ).
tff(c_46856,plain,
! [Z_442] : ( multiply(sk_c6,multiply(sk_c8,Z_442)) = multiply(identity,Z_442) ),
inference(superposition,[status(thm),theory(equality)],[c_46762,c_46829]) ).
tff(c_46918,plain,
! [Z_445] : ( multiply(sk_c6,multiply(sk_c8,Z_445)) = Z_445 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46856]) ).
tff(c_46933,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_46810,c_46918]) ).
tff(c_47116,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47047,c_47047,c_46933]) ).
tff(c_47120,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47116]) ).
tff(c_46749,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_34,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_46795,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_46750,c_34]) ).
tff(c_47012,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_46795,c_46967]) ).
tff(c_47050,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_46810,c_46749,c_47012]) ).
tff(c_46916,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_46810,c_46758,c_80]) ).
tff(c_46917,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_46916]) ).
tff(c_47057,plain,
multiply(sk_c7,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47050,c_46917]) ).
tff(c_47067,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_46891,c_47057]) ).
tff(c_47113,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_47047,c_47067]) ).
tff(c_47148,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47120,c_47113]) ).
tff(c_47150,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_46916]) ).
tff(c_47158,plain,
! [Z_449] : ( multiply(sk_c5,multiply(sk_c7,Z_449)) = multiply(sk_c6,Z_449) ),
inference(superposition,[status(thm),theory(equality)],[c_46805,c_46829]) ).
tff(c_47173,plain,
multiply(sk_c6,sk_c8) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_47150,c_47158]) ).
tff(c_47186,plain,
multiply(sk_c5,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46762,c_47173]) ).
tff(c_46873,plain,
! [Z_442] : ( multiply(sk_c7,multiply(sk_c5,Z_442)) = Z_442 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46853]) ).
tff(c_47191,plain,
multiply(sk_c7,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_47186,c_46873]) ).
tff(c_46847,plain,
! [Z_442] : ( multiply(sk_c5,multiply(sk_c7,Z_442)) = multiply(sk_c6,Z_442) ),
inference(superposition,[status(thm),theory(equality)],[c_46805,c_46829]) ).
tff(c_47202,plain,
multiply(sk_c6,identity) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_47191,c_46847]) ).
tff(c_47208,plain,
multiply(sk_c6,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47186,c_47202]) ).
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_47221,plain,
! [Z_5] : ( multiply(sk_c6,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_47208,c_6]) ).
tff(c_47229,plain,
! [Z_450] : ( multiply(sk_c6,Z_450) = Z_450 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_47221]) ).
tff(c_47244,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_46762,c_47229]) ).
tff(c_47369,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47244,c_46758]) ).
tff(c_48101,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48097,c_47369]) ).
tff(c_46844,plain,
! [Z_442] : ( multiply(sk_c8,multiply(sk_c7,Z_442)) = multiply(sk_c6,Z_442) ),
inference(superposition,[status(thm),theory(equality)],[c_46810,c_46829]) ).
tff(c_48182,plain,
! [Z_468] : ( multiply(sk_c7,Z_468) = Z_468 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48097,c_2,c_47244,c_46844]) ).
tff(c_48197,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_48182,c_46779]) ).
tff(c_48213,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_48197,c_46775]) ).
tff(c_48217,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48101,c_48213]) ).
tff(c_47472,plain,
! [X_453,Z_454] : ( multiply(inverse(X_453),multiply(X_453,Z_454)) = Z_454 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46865]) ).
tff(c_47626,plain,
! [X_456,Z_457] : ( multiply(inverse(inverse(X_456)),Z_457) = multiply(X_456,Z_457) ),
inference(superposition,[status(thm),theory(equality)],[c_47472,c_46877]) ).
tff(c_47499,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47472]) ).
tff(c_47633,plain,
! [X_456] : ( multiply(X_456,identity) = X_456 ),
inference(superposition,[status(thm),theory(equality)],[c_47626,c_47499]) ).
tff(c_47371,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47244,c_101]) ).
tff(c_47410,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_47371,c_2]) ).
tff(c_47372,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47244,c_97]) ).
tff(c_47419,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47410,c_47372]) ).
tff(c_47427,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47419,c_47369]) ).
tff(c_47365,plain,
multiply(identity,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47244,c_46810]) ).
tff(c_47446,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47427,c_47365]) ).
tff(c_47453,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_47446,c_2]) ).
tff(c_47224,plain,
! [Z_5] : ( multiply(sk_c6,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_47221]) ).
tff(c_47154,plain,
! [Z_5] : ( multiply(sk_c7,multiply(sk_c8,Z_5)) = multiply(sk_c6,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_47150,c_6]) ).
tff(c_47277,plain,
! [Z_451] : ( multiply(sk_c7,Z_451) = Z_451 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47244,c_47224,c_47154]) ).
tff(c_47289,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_47277,c_46779]) ).
tff(c_47274,plain,
! [Z_5] : ( multiply(sk_c7,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47244,c_47224,c_47154]) ).
tff(c_47275,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47274,c_47191]) ).
tff(c_47276,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47274,c_46891]) ).
tff(c_47311,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47275,c_47276]) ).
tff(c_47315,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47311,c_46775]) ).
tff(c_47350,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47289,c_47315]) ).
tff(c_47149,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_46916]) ).
tff(c_47248,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_47149]) ).
tff(c_47335,plain,
! [X2_452] :
( ( inverse(X2_452) != identity )
| ( multiply(X2_452,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47311,c_47275,c_47311,c_47248]) ).
tff(c_47349,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_47335]) ).
tff(c_47361,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47350,c_47349]) ).
tff(c_47362,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_47149]) ).
tff(c_47402,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != sk_c7 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47244,c_47244,c_2,c_47244,c_47244,c_47244,c_47244,c_47362]) ).
tff(c_47403,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != identity ) ),
inference(splitLeft,[status(thm)],[c_47402]) ).
tff(c_48011,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_47633,c_47453,c_47453,c_47403]) ).
tff(c_48013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48011,c_47419]) ).
tff(c_48014,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 )
| ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_47402]) ).
tff(c_72480,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_48281,c_48217,c_48281,c_48217,c_48014]) ).
tff(c_72482,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_72480]) ).
tff(c_72484,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72482,c_48101]) ).
tff(c_72486,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_72480]) ).
tff(c_72488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72486,c_48101]) ).
tff(c_72490,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_72491,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_72499,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72490,c_72491]) ).
tff(c_72500,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_72572,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_72490,c_76]) ).
tff(c_72991,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_72572,c_72964]) ).
tff(c_73013,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_72500,c_72991]) ).
tff(c_73017,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_73013,c_72640]) ).
tff(c_73023,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_73017]) ).
tff(c_68,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_72554,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_72490,c_68]) ).
tff(c_70,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_72562,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_72490,c_70]) ).
tff(c_72,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_72537,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_72490,c_72]) ).
tff(c_72541,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_72537,c_4]) ).
tff(c_72616,plain,
! [Z_646] : ( multiply(sk_c8,multiply(sk_c4,Z_646)) = multiply(identity,Z_646) ),
inference(superposition,[status(thm),theory(equality)],[c_72541,c_72592]) ).
tff(c_72642,plain,
! [Z_647] : ( multiply(sk_c8,multiply(sk_c4,Z_647)) = Z_647 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72616]) ).
tff(c_72654,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_72562,c_72642]) ).
tff(c_72658,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_72554,c_72654]) ).
tff(c_72663,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_72658,c_72537]) ).
tff(c_73028,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_73023,c_72663]) ).
tff(c_72660,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_72658,c_72562]) ).
tff(c_73074,plain,
multiply(sk_c4,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_73023,c_72660]) ).
tff(c_73078,plain,
multiply(inverse(sk_c4),sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_73074,c_72640]) ).
tff(c_73084,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_73028,c_73078]) ).
tff(c_72489,plain,
inverse(sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_72666,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_72658,c_72489]) ).
tff(c_73026,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_73023,c_73023,c_72666]) ).
tff(c_72702,plain,
! [X_648,Z_649] : ( multiply(inverse(X_648),multiply(X_648,Z_649)) = Z_649 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72628]) ).
tff(c_72735,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_72572,c_72702]) ).
tff(c_72759,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_72500,c_72735]) ).
tff(c_72763,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_72759,c_72640]) ).
tff(c_72769,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_72763]) ).
tff(c_72661,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_72658,c_72554]) ).
tff(c_72871,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_72769,c_2,c_72769,c_72661]) ).
tff(c_72671,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72658,c_72658,c_72658,c_72658,c_72658,c_72658,c_72658,c_72658,c_72658,c_80]) ).
tff(c_72672,plain,
multiply(sk_c7,sk_c6) != sk_c6,
inference(splitLeft,[status(thm)],[c_72671]) ).
tff(c_72947,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_72871,c_72769,c_72769,c_72672]) ).
tff(c_72948,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( multiply(sk_c6,sk_c7) != sk_c6 )
| ( inverse(sk_c6) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_72671]) ).
tff(c_80784,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73295,c_73084,c_73023,c_73084,c_73295,c_73084,c_73023,c_73023,c_73295,c_73084,c_73023,c_2,c_73023,c_73023,c_73295,c_73084,c_73023,c_73084,c_73026,c_73023,c_73023,c_73084,c_73023,c_2,c_73023,c_72948]) ).
tff(c_80786,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_80784]) ).
tff(c_80788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80786,c_73026]) ).
tff(c_80789,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_80784]) ).
tff(c_83431,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_80789]) ).
tff(c_83433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83431,c_73026]) ).
tff(c_83434,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_80789]) ).
tff(c_83436,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_83434]) ).
tff(c_83438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83436,c_73026]) ).
tff(c_84001,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_83434]) ).
tff(c_84003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84001,c_73026]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP324-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 22:10:11 EDT 2023
% 0.14/0.34 % CPUTime :
% 18.11/8.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.43/8.51
% 18.43/8.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.75/8.57
% 18.75/8.57 Inference rules
% 18.75/8.57 ----------------------
% 18.75/8.57 #Ref : 0
% 18.75/8.57 #Sup : 20460
% 18.75/8.57 #Fact : 0
% 18.75/8.57 #Define : 0
% 18.75/8.57 #Split : 47
% 18.75/8.57 #Chain : 0
% 18.75/8.57 #Close : 0
% 18.75/8.57
% 18.75/8.57 Ordering : KBO
% 18.75/8.57
% 18.75/8.57 Simplification rules
% 18.75/8.57 ----------------------
% 18.75/8.57 #Subsume : 15
% 18.75/8.57 #Demod : 60713
% 18.75/8.57 #Tautology : 16482
% 18.75/8.57 #SimpNegUnit : 114
% 18.75/8.57 #BackRed : 689
% 18.75/8.57
% 18.75/8.57 #Partial instantiations: 0
% 18.75/8.57 #Strategies tried : 1
% 18.75/8.57
% 18.75/8.57 Timing (in seconds)
% 18.75/8.57 ----------------------
% 18.75/8.58 Preprocessing : 0.54
% 18.75/8.58 Parsing : 0.21
% 18.75/8.58 CNF conversion : 0.03
% 18.75/8.58 Main loop : 6.86
% 18.75/8.58 Inferencing : 1.73
% 18.75/8.58 Reduction : 4.13
% 18.75/8.58 Demodulation : 3.85
% 18.75/8.58 BG Simplification : 0.15
% 18.75/8.58 Subsumption : 0.57
% 18.75/8.58 Abstraction : 0.43
% 18.75/8.58 MUC search : 0.00
% 18.75/8.58 Cooper : 0.00
% 18.75/8.58 Total : 7.56
% 18.75/8.58 Index Insertion : 0.00
% 18.75/8.58 Index Deletion : 0.00
% 18.75/8.58 Index Matching : 0.00
% 18.75/8.58 BG Taut test : 0.00
%------------------------------------------------------------------------------