TSTP Solution File: GRP331-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP331-1 : 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 : n032.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 10:40:57 EDT 2023
% Result : Unsatisfiable 17.09s 6.89s
% Output : CNFRefutation 17.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 43
% Syntax : Number of formulae : 585 ( 483 unt; 11 typ; 0 def)
% Number of atoms : 770 ( 740 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 428 ( 232 ~; 196 |; 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 : 267 (; 267 !; 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_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
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 )
| ( inverse(X4) != sk_c7 )
| ( multiply(X4,sk_c6) != sk_c7 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X5) != sk_c6 )
| ( multiply(X5,sk_c8) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_36447,plain,
! [X_319,Y_320,Z_321] : ( multiply(multiply(X_319,Y_320),Z_321) = multiply(X_319,multiply(Y_320,Z_321)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36483,plain,
! [X_2,Z_321] : ( multiply(inverse(X_2),multiply(X_2,Z_321)) = multiply(identity,Z_321) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36447]) ).
tff(c_36495,plain,
! [X_2,Z_321] : ( multiply(inverse(X_2),multiply(X_2,Z_321)) = Z_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36483]) ).
tff(c_37409,plain,
! [X_342,Z_343] : ( multiply(inverse(X_342),multiply(X_342,Z_343)) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36483]) ).
tff(c_38503,plain,
! [X_361,Z_362] : ( multiply(inverse(inverse(X_361)),Z_362) = multiply(X_361,Z_362) ),
inference(superposition,[status(thm),theory(equality)],[c_36495,c_37409]) ).
tff(c_37487,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37409]) ).
tff(c_38510,plain,
! [X_361] : ( multiply(X_361,identity) = X_361 ),
inference(superposition,[status(thm),theory(equality)],[c_38503,c_37487]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_113,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_28,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_33141,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_40,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_102,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_33194,plain,
! [X_250,Y_251,Z_252] : ( multiply(multiply(X_250,Y_251),Z_252) = multiply(X_250,multiply(Y_251,Z_252)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33233,plain,
! [Z_252] : ( multiply(sk_c7,multiply(sk_c1,Z_252)) = multiply(identity,Z_252) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_33194]) ).
tff(c_33254,plain,
! [Z_253] : ( multiply(sk_c7,multiply(sk_c1,Z_253)) = Z_253 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33233]) ).
tff(c_33266,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33141,c_33254]) ).
tff(c_33270,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_113,c_33266]) ).
tff(c_68,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(X4_10,sk_c6) != sk_c7 )
| ( inverse(X4_10) != 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_33287,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 )
| ( inverse(X4_10) != 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_33270,c_33270,c_33270,c_33270,c_33270,c_33270,c_33270,c_33270,c_68]) ).
tff(c_33288,plain,
multiply(sk_c6,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_33287]) ).
tff(c_33280,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33270,c_98]) ).
tff(c_33274,plain,
multiply(sk_c1,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33270,c_33141]) ).
tff(c_33239,plain,
! [X_2,Z_252] : ( multiply(inverse(X_2),multiply(X_2,Z_252)) = multiply(identity,Z_252) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33194]) ).
tff(c_33317,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_33239]) ).
tff(c_33335,plain,
multiply(inverse(sk_c1),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_33274,c_33317]) ).
tff(c_33372,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33280,c_33335]) ).
tff(c_33374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33288,c_33372]) ).
tff(c_33376,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_33287]) ).
tff(c_33430,plain,
! [X_256,Z_257] : ( multiply(inverse(X_256),multiply(X_256,Z_257)) = Z_257 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33239]) ).
tff(c_33454,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33376,c_33430]) ).
tff(c_33495,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33454]) ).
tff(c_62,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_122,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_52,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_89,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_32006,plain,
! [X_228,Y_229,Z_230] : ( multiply(multiply(X_228,Y_229),Z_230) = multiply(X_228,multiply(Y_229,Z_230)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32048,plain,
! [Z_230] : ( multiply(sk_c7,multiply(sk_c2,Z_230)) = multiply(identity,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_32006]) ).
tff(c_32079,plain,
! [Z_232] : ( multiply(sk_c7,multiply(sk_c2,Z_232)) = Z_232 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32048]) ).
tff(c_32091,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_122,c_32079]) ).
tff(c_26,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_123,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_149,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_173,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_149]) ).
tff(c_191,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_203,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_123,c_191]) ).
tff(c_207,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_113,c_203]) ).
tff(c_215,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_207,c_85]) ).
tff(c_210,plain,
multiply(sk_c2,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_207,c_122]) ).
tff(c_179,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_149]) ).
tff(c_189,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_727,plain,
multiply(inverse(sk_c2),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_210,c_189]) ).
tff(c_733,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_215,c_727]) ).
tff(c_762,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_733,c_189]) ).
tff(c_768,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_762]) ).
tff(c_656,plain,
! [X_26,Z_27] : ( multiply(inverse(X_26),multiply(X_26,Z_27)) = Z_27 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_931,plain,
! [X_30,Z_31] : ( multiply(inverse(inverse(X_30)),Z_31) = multiply(X_30,Z_31) ),
inference(superposition,[status(thm),theory(equality)],[c_656,c_189]) ).
tff(c_686,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_656]) ).
tff(c_938,plain,
! [X_30] : ( multiply(X_30,identity) = X_30 ),
inference(superposition,[status(thm),theory(equality)],[c_931,c_686]) ).
tff(c_211,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_207,c_113]) ).
tff(c_674,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_211,c_656]) ).
tff(c_693,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_674]) ).
tff(c_176,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_149]) ).
tff(c_188,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_176]) ).
tff(c_277,plain,
! [Z_17] : ( multiply(sk_c6,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_207,c_188]) ).
tff(c_289,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_210,c_277]) ).
tff(c_317,plain,
! [X_19,Z_20] : ( multiply(inverse(X_19),multiply(X_19,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_338,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_289,c_317]) ).
tff(c_375,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_338]) ).
tff(c_214,plain,
multiply(sk_c6,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_207,c_89]) ).
tff(c_391,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_375,c_214]) ).
tff(c_478,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_391,c_189]) ).
tff(c_490,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_478]) ).
tff(c_393,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_375,c_215]) ).
tff(c_513,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_490,c_393]) ).
tff(c_569,plain,
! [X_23] : ( multiply(inverse(inverse(X_23)),identity) = X_23 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_317]) ).
tff(c_575,plain,
! [X_23] : ( multiply(inverse(inverse(inverse(X_23))),X_23) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_569,c_189]) ).
tff(c_356,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_211,c_317]) ).
tff(c_378,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_356]) ).
tff(c_242,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_211,c_207,c_207,c_207,c_207,c_207,c_207,c_207,c_207,c_68]) ).
tff(c_243,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_242]) ).
tff(c_631,plain,
! [X3_25] :
( ( inverse(X3_25) != identity )
| ( multiply(X3_25,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_375,c_378,c_375,c_243]) ).
tff(c_635,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_575,c_631]) ).
tff(c_654,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_513,c_513,c_513,c_513,c_635]) ).
tff(c_655,plain,
! [X4_10,X1_8,X2_9,X5_6] :
( ( multiply(X4_10,sk_c6) != sk_c6 )
| ( inverse(X4_10) != 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 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_242]) ).
tff(c_8820,plain,
! [X4_10,X1_8,X2_9,X5_6] :
( ( identity != X4_10 )
| ( inverse(X4_10) != identity )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( identity != X5_6 )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_768,c_938,c_768,c_693,c_938,c_768,c_768,c_768,c_938,c_768,c_693,c_693,c_768,c_938,c_768,c_768,c_655]) ).
tff(c_8822,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8820]) ).
tff(c_777,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_768,c_215]) ).
tff(c_796,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_777,c_4]) ).
tff(c_803,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_796,c_189]) ).
tff(c_815,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_803]) ).
tff(c_819,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_815,c_777]) ).
tff(c_8824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8822,c_819]) ).
tff(c_8825,plain,
! [X2_9,X1_8,X4_10] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( identity != X4_10 )
| ( inverse(X4_10) != identity ) ),
inference(splitRight,[status(thm)],[c_8820]) ).
tff(c_31926,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8825]) ).
tff(c_31928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31926,c_819]) ).
tff(c_31929,plain,
! [X1_8,X2_9] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(splitRight,[status(thm)],[c_8825]) ).
tff(c_31931,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_31929]) ).
tff(c_31933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31931,c_819]) ).
tff(c_31935,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_31929]) ).
tff(c_31937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31935,c_819]) ).
tff(c_31939,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_20,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_31986,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_31939,c_20]) ).
tff(c_22,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_31970,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_31939,c_22]) ).
tff(c_31974,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31970,c_4]) ).
tff(c_32030,plain,
! [Z_230] : ( multiply(sk_c8,multiply(sk_c3,Z_230)) = multiply(identity,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_31974,c_32006]) ).
tff(c_32622,plain,
! [Z_244] : ( multiply(sk_c8,multiply(sk_c3,Z_244)) = Z_244 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32030]) ).
tff(c_32637,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_31986,c_32622]) ).
tff(c_32042,plain,
! [Z_230] : ( multiply(sk_c7,multiply(sk_c8,Z_230)) = multiply(sk_c6,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_32006]) ).
tff(c_32644,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_32637,c_32042]) ).
tff(c_32650,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_113,c_32644]) ).
tff(c_32703,plain,
! [Z_246] : ( multiply(sk_c2,multiply(sk_c6,Z_246)) = multiply(sk_c7,Z_246) ),
inference(superposition,[status(thm),theory(equality)],[c_122,c_32006]) ).
tff(c_32718,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c2,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_32650,c_32703]) ).
tff(c_32731,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_122,c_32091,c_32718]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_31993,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_31939,c_24]) ).
tff(c_31938,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_31944,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31938,c_4]) ).
tff(c_32036,plain,
! [Z_230] : ( multiply(sk_c7,multiply(sk_c4,Z_230)) = multiply(identity,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_31944,c_32006]) ).
tff(c_32560,plain,
! [Z_241] : ( multiply(sk_c7,multiply(sk_c4,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32036]) ).
tff(c_32572,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_31993,c_32560]) ).
tff(c_32738,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_32731,c_32731,c_32572]) ).
tff(c_32051,plain,
! [X_2,Z_230] : ( multiply(inverse(X_2),multiply(X_2,Z_230)) = multiply(identity,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32006]) ).
tff(c_32850,plain,
! [X_247,Z_248] : ( multiply(inverse(X_247),multiply(X_247,Z_248)) = Z_248 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32051]) ).
tff(c_32883,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_32738,c_32850]) ).
tff(c_32916,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32883]) ).
tff(c_32751,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_32731,c_98]) ).
tff(c_32768,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32751,c_4]) ).
tff(c_33020,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32916,c_32768]) ).
tff(c_30,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_31999,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_31939,c_30]) ).
tff(c_31956,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_31939,c_28]) ).
tff(c_31960,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31956,c_4]) ).
tff(c_32033,plain,
! [Z_230] : ( multiply(sk_c6,multiply(sk_c5,Z_230)) = multiply(identity,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_31960,c_32006]) ).
tff(c_32599,plain,
! [Z_243] : ( multiply(sk_c6,multiply(sk_c5,Z_243)) = Z_243 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32033]) ).
tff(c_32611,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_31999,c_32599]) ).
tff(c_32789,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_32738,c_32611]) ).
tff(c_32746,plain,
multiply(sk_c1,sk_c6) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_32731,c_31939]) ).
tff(c_32837,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_32789,c_32746]) ).
tff(c_32919,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32916,c_32916,c_32837]) ).
tff(c_33124,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33020,c_32919]) ).
tff(c_33126,plain,
multiply(sk_c2,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_64,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_33142,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_33126,c_64]) ).
tff(c_66,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_33188,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_33126,c_66]) ).
tff(c_33472,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33188,c_33430]) ).
tff(c_33496,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33142,c_33472]) ).
tff(c_33516,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33495,c_33496]) ).
tff(c_33125,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_33277,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33270,c_33125]) ).
tff(c_60,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_33183,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_33126,c_60]) ).
tff(c_33272,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33270,c_33183]) ).
tff(c_33252,plain,
! [X_2,Z_252] : ( multiply(inverse(X_2),multiply(X_2,Z_252)) = Z_252 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33239]) ).
tff(c_33542,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_33272,c_33252]) ).
tff(c_33548,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33516,c_33277,c_33542]) ).
tff(c_33282,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33270,c_85]) ).
tff(c_33387,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33282,c_4]) ).
tff(c_33629,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33548,c_33387]) ).
tff(c_33276,plain,
multiply(sk_c2,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33270,c_33126]) ).
tff(c_33551,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_33548,c_33548,c_33276]) ).
tff(c_33701,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33629,c_33551]) ).
tff(c_33703,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_33733,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_33703,c_20]) ).
tff(c_58,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_33718,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_33126,c_58]) ).
tff(c_33722,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33718,c_4]) ).
tff(c_33757,plain,
! [X_259,Y_260,Z_261] : ( multiply(multiply(X_259,Y_260),Z_261) = multiply(X_259,multiply(Y_260,Z_261)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33781,plain,
! [Z_261] : ( multiply(sk_c8,multiply(sk_c3,Z_261)) = multiply(identity,Z_261) ),
inference(superposition,[status(thm),theory(equality)],[c_33722,c_33757]) ).
tff(c_33840,plain,
! [Z_264] : ( multiply(sk_c8,multiply(sk_c3,Z_264)) = Z_264 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33781]) ).
tff(c_33852,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33733,c_33840]) ).
tff(c_33799,plain,
! [X_2,Z_261] : ( multiply(inverse(X_2),multiply(X_2,Z_261)) = multiply(identity,Z_261) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33757]) ).
tff(c_34057,plain,
! [X_271,Z_272] : ( multiply(inverse(X_271),multiply(X_271,Z_272)) = Z_272 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33799]) ).
tff(c_34087,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33852,c_34057]) ).
tff(c_34152,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34087]) ).
tff(c_34194,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34152,c_89]) ).
tff(c_33812,plain,
! [X_2,Z_261] : ( multiply(inverse(X_2),multiply(X_2,Z_261)) = Z_261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33799]) ).
tff(c_34370,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_34194,c_33812]) ).
tff(c_34382,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34370]) ).
tff(c_33740,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_33703,c_24]) ).
tff(c_33130,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33125,c_4]) ).
tff(c_33787,plain,
! [Z_261] : ( multiply(sk_c7,multiply(sk_c4,Z_261)) = multiply(identity,Z_261) ),
inference(superposition,[status(thm),theory(equality)],[c_33130,c_33757]) ).
tff(c_34034,plain,
! [Z_270] : ( multiply(sk_c7,multiply(sk_c4,Z_270)) = Z_270 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33787]) ).
tff(c_34046,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33740,c_34034]) ).
tff(c_34075,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34046,c_34057]) ).
tff(c_34151,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34075]) ).
tff(c_34168,plain,
multiply(sk_c2,identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34151,c_33126]) ).
tff(c_34318,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34152,c_34168]) ).
tff(c_34386,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34382,c_34318]) ).
tff(c_34391,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34386]) ).
tff(c_34393,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_8,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_35558,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34393,c_8]) ).
tff(c_34431,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_34470,plain,
! [X_274,Y_275,Z_276] : ( multiply(multiply(X_274,Y_275),Z_276) = multiply(X_274,multiply(Y_275,Z_276)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34509,plain,
! [Z_276] : ( multiply(sk_c7,multiply(sk_c1,Z_276)) = multiply(identity,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_34470]) ).
tff(c_34530,plain,
! [Z_277] : ( multiply(sk_c7,multiply(sk_c1,Z_277)) = Z_277 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34509]) ).
tff(c_34542,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34431,c_34530]) ).
tff(c_34515,plain,
! [X_2,Z_276] : ( multiply(inverse(X_2),multiply(X_2,Z_276)) = multiply(identity,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34470]) ).
tff(c_34664,plain,
! [X_282,Z_283] : ( multiply(inverse(X_282),multiply(X_282,Z_283)) = Z_283 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34515]) ).
tff(c_34703,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34542,c_34664]) ).
tff(c_34766,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34703]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_34437,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34393,c_10]) ).
tff(c_34449,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34393,c_8]) ).
tff(c_34718,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34449,c_34664]) ).
tff(c_34769,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34437,c_34718]) ).
tff(c_34841,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34766,c_2,c_34766,c_34769]) ).
tff(c_34546,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34542,c_34393]) ).
tff(c_34845,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34841,c_34546]) ).
tff(c_34426,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_34512,plain,
! [Z_276] : ( multiply(sk_c7,multiply(sk_c2,Z_276)) = multiply(identity,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_34470]) ).
tff(c_34554,plain,
! [Z_278] : ( multiply(sk_c7,multiply(sk_c2,Z_278)) = Z_278 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34512]) ).
tff(c_34566,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34426,c_34554]) ).
tff(c_34843,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34841,c_34841,c_34566]) ).
tff(c_34855,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34843]) ).
tff(c_34883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34845,c_34855]) ).
tff(c_34885,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_34900,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_34885,c_24]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_34409,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34393,c_14]) ).
tff(c_34413,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34409,c_4]) ).
tff(c_34924,plain,
! [X_285,Y_286,Z_287] : ( multiply(multiply(X_285,Y_286),Z_287) = multiply(X_285,multiply(Y_286,Z_287)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34954,plain,
! [Z_287] : ( multiply(sk_c7,multiply(sk_c4,Z_287)) = multiply(identity,Z_287) ),
inference(superposition,[status(thm),theory(equality)],[c_34413,c_34924]) ).
tff(c_35017,plain,
! [Z_290] : ( multiply(sk_c7,multiply(sk_c4,Z_290)) = Z_290 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34954]) ).
tff(c_35029,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34900,c_35017]) ).
tff(c_34966,plain,
! [X_2,Z_287] : ( multiply(inverse(X_2),multiply(X_2,Z_287)) = multiply(identity,Z_287) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34924]) ).
tff(c_35114,plain,
! [X_293,Z_294] : ( multiply(inverse(X_293),multiply(X_293,Z_294)) = Z_294 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34966]) ).
tff(c_35138,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_35029,c_35114]) ).
tff(c_35194,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35138]) ).
tff(c_34963,plain,
! [Z_287] : ( multiply(sk_c7,multiply(sk_c2,Z_287)) = multiply(identity,Z_287) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_34924]) ).
tff(c_34994,plain,
! [Z_289] : ( multiply(sk_c7,multiply(sk_c2,Z_289)) = Z_289 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34963]) ).
tff(c_35006,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34426,c_34994]) ).
tff(c_34915,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_34885,c_30]) ).
tff(c_34392,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_34397,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34392,c_4]) ).
tff(c_34957,plain,
! [Z_287] : ( multiply(sk_c6,multiply(sk_c5,Z_287)) = multiply(identity,Z_287) ),
inference(superposition,[status(thm),theory(equality)],[c_34397,c_34924]) ).
tff(c_35059,plain,
! [Z_292] : ( multiply(sk_c6,multiply(sk_c5,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34957]) ).
tff(c_35074,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34915,c_35059]) ).
tff(c_34951,plain,
! [Z_287] : ( multiply(sk_c2,multiply(sk_c6,Z_287)) = multiply(sk_c7,Z_287) ),
inference(superposition,[status(thm),theory(equality)],[c_34426,c_34924]) ).
tff(c_35081,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c2,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_35074,c_34951]) ).
tff(c_35087,plain,
multiply(sk_c2,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35029,c_35081]) ).
tff(c_34978,plain,
! [Z_287] : ( multiply(sk_c7,multiply(sk_c2,Z_287)) = Z_287 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34963]) ).
tff(c_35092,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35087,c_34978]) ).
tff(c_35098,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35006,c_35092]) ).
tff(c_35107,plain,
multiply(sk_c7,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35098,c_34393]) ).
tff(c_35109,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35029,c_35107]) ).
tff(c_35201,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35194,c_35109]) ).
tff(c_34884,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_35106,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35098,c_34884]) ).
tff(c_35266,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35194,c_35106]) ).
tff(c_35273,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35266,c_4]) ).
tff(c_34979,plain,
! [X_2,Z_287] : ( multiply(inverse(X_2),multiply(X_2,Z_287)) = Z_287 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34966]) ).
tff(c_35446,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_35273,c_34979]) ).
tff(c_35458,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35446]) ).
tff(c_34905,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34885,c_20]) ).
tff(c_35103,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35098,c_34905]) ).
tff(c_35524,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35458,c_35194,c_35103]) ).
tff(c_35525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35201,c_35524]) ).
tff(c_35526,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_35531,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35526,c_4]) ).
tff(c_35572,plain,
! [X_298,Y_299,Z_300] : ( multiply(multiply(X_298,Y_299),Z_300) = multiply(X_298,multiply(Y_299,Z_300)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35599,plain,
! [Z_300] : ( multiply(sk_c8,multiply(sk_c3,Z_300)) = multiply(identity,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_35531,c_35572]) ).
tff(c_35708,plain,
! [Z_304] : ( multiply(sk_c8,multiply(sk_c3,Z_304)) = Z_304 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35599]) ).
tff(c_35720,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35558,c_35708]) ).
tff(c_35614,plain,
! [X_2,Z_300] : ( multiply(inverse(X_2),multiply(X_2,Z_300)) = multiply(identity,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35572]) ).
tff(c_35739,plain,
! [X_305,Z_306] : ( multiply(inverse(X_305),multiply(X_305,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35614]) ).
tff(c_35760,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35720,c_35739]) ).
tff(c_35833,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35760]) ).
tff(c_35544,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_35608,plain,
! [Z_300] : ( multiply(sk_c7,multiply(sk_c1,Z_300)) = multiply(identity,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_35572]) ).
tff(c_35642,plain,
! [Z_302] : ( multiply(sk_c7,multiply(sk_c1,Z_302)) = Z_302 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35608]) ).
tff(c_35654,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35544,c_35642]) ).
tff(c_35658,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35654,c_34393]) ).
tff(c_35845,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35833,c_35658]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_35549,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_34393,c_12]) ).
tff(c_35790,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35549,c_35739]) ).
tff(c_35839,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34409,c_35790]) ).
tff(c_35977,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35833,c_2,c_35833,c_35839]) ).
tff(c_35978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35845,c_35977]) ).
tff(c_35979,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_36007,plain,
! [X_309,Y_310,Z_311] : ( multiply(multiply(X_309,Y_310),Z_311) = multiply(X_309,multiply(Y_310,Z_311)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36031,plain,
! [Z_311] : ( multiply(sk_c8,multiply(sk_c3,Z_311)) = multiply(identity,Z_311) ),
inference(superposition,[status(thm),theory(equality)],[c_35531,c_36007]) ).
tff(c_36087,plain,
! [Z_314] : ( multiply(sk_c8,multiply(sk_c3,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36031]) ).
tff(c_36099,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35979,c_36087]) ).
tff(c_36046,plain,
! [X_2,Z_311] : ( multiply(inverse(X_2),multiply(X_2,Z_311)) = multiply(identity,Z_311) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36007]) ).
tff(c_36133,plain,
! [X_316,Z_317] : ( multiply(inverse(X_316),multiply(X_316,Z_317)) = Z_317 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36046]) ).
tff(c_36157,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36099,c_36133]) ).
tff(c_36218,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36157]) ).
tff(c_35980,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_35985,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35980,c_24]) ).
tff(c_36175,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35985,c_36133]) ).
tff(c_36220,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34409,c_36175]) ).
tff(c_36340,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36218,c_2,c_36218,c_36220]) ).
tff(c_36235,plain,
multiply(identity,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36218,c_34393]) ).
tff(c_36240,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36235]) ).
tff(c_36342,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36340,c_36240]) ).
tff(c_35994,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35980,c_30]) ).
tff(c_36037,plain,
! [Z_311] : ( multiply(sk_c6,multiply(sk_c5,Z_311)) = multiply(identity,Z_311) ),
inference(superposition,[status(thm),theory(equality)],[c_34397,c_36007]) ).
tff(c_36110,plain,
! [Z_315] : ( multiply(sk_c6,multiply(sk_c5,Z_315)) = Z_315 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36037]) ).
tff(c_36122,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35994,c_36110]) ).
tff(c_36343,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36340,c_36340,c_36122]) ).
tff(c_36349,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36343]) ).
tff(c_36372,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36342,c_36349]) ).
tff(c_36374,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_36418,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_36374,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_36394,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_36374,c_38]) ).
tff(c_36398,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36394,c_4]) ).
tff(c_36471,plain,
! [Z_321] : ( multiply(sk_c7,multiply(sk_c4,Z_321)) = multiply(identity,Z_321) ),
inference(superposition,[status(thm),theory(equality)],[c_36398,c_36447]) ).
tff(c_36497,plain,
! [Z_322] : ( multiply(sk_c7,multiply(sk_c4,Z_322)) = Z_322 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36471]) ).
tff(c_36509,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36418,c_36497]) ).
tff(c_37442,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_36509,c_37409]) ).
tff(c_37495,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37442]) ).
tff(c_42,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_36413,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_36374,c_42]) ).
tff(c_36373,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_36378,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36373,c_4]) ).
tff(c_36477,plain,
! [Z_321] : ( multiply(sk_c6,multiply(sk_c5,Z_321)) = multiply(identity,Z_321) ),
inference(superposition,[status(thm),theory(equality)],[c_36378,c_36447]) ).
tff(c_36817,plain,
! [Z_331] : ( multiply(sk_c6,multiply(sk_c5,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36477]) ).
tff(c_36829,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36413,c_36817]) ).
tff(c_38191,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37495,c_37495,c_36829]) ).
tff(c_38196,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38191]) ).
tff(c_37797,plain,
! [X_347,Z_348] : ( multiply(inverse(inverse(X_347)),Z_348) = multiply(X_347,Z_348) ),
inference(superposition,[status(thm),theory(equality)],[c_36495,c_37409]) ).
tff(c_37804,plain,
! [X_347] : ( multiply(X_347,identity) = X_347 ),
inference(superposition,[status(thm),theory(equality)],[c_37797,c_37487]) ).
tff(c_32,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_36425,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_36374,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_36386,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_36374,c_34]) ).
tff(c_36390,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36386,c_4]) ).
tff(c_36474,plain,
! [Z_321] : ( multiply(sk_c8,multiply(sk_c3,Z_321)) = multiply(identity,Z_321) ),
inference(superposition,[status(thm),theory(equality)],[c_36390,c_36447]) ).
tff(c_37386,plain,
! [Z_341] : ( multiply(sk_c8,multiply(sk_c3,Z_341)) = Z_341 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36474]) ).
tff(c_37398,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36425,c_37386]) ).
tff(c_37427,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37398,c_37409]) ).
tff(c_37494,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37427]) ).
tff(c_36864,plain,
! [Z_333] : ( multiply(sk_c4,multiply(sk_c7,Z_333)) = multiply(sk_c6,Z_333) ),
inference(superposition,[status(thm),theory(equality)],[c_36418,c_36447]) ).
tff(c_36882,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c4,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_36509,c_36864]) ).
tff(c_36898,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36829,c_36418,c_36882]) ).
tff(c_36614,plain,
! [X_327,Z_328] : ( multiply(inverse(X_327),multiply(X_327,Z_328)) = Z_328 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36483]) ).
tff(c_36653,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_36509,c_36614]) ).
tff(c_36704,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36653]) ).
tff(c_36550,plain,
! [Z_325] : ( multiply(sk_c6,multiply(sk_c5,Z_325)) = Z_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36477]) ).
tff(c_36565,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36413,c_36550]) ).
tff(c_36730,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36704,c_36704,c_36565]) ).
tff(c_36737,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36730]) ).
tff(c_36584,plain,
! [Z_326] : ( multiply(sk_c8,multiply(sk_c3,Z_326)) = Z_326 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36474]) ).
tff(c_36599,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36425,c_36584]) ).
tff(c_36632,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36599,c_36614]) ).
tff(c_36702,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36632]) ).
tff(c_36513,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_36715,plain,
multiply(identity,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36702,c_36513]) ).
tff(c_36724,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36715]) ).
tff(c_36787,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36737,c_36704,c_36724]) ).
tff(c_36789,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_36902,plain,
multiply(sk_c7,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36898,c_36789]) ).
tff(c_36925,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36902,c_36509]) ).
tff(c_36943,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36925,c_36394]) ).
tff(c_36941,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36925,c_36418]) ).
tff(c_36788,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( multiply(X4_10,sk_c6) != sk_c7 )
| ( inverse(X4_10) != 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 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_36833,plain,
! [X5_6] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_36788]) ).
tff(c_36951,plain,
! [X5_6] :
( ( multiply(X5_6,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36898,c_36833]) ).
tff(c_36995,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_36941,c_36951]) ).
tff(c_37004,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36943,c_36995]) ).
tff(c_37005,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(X4_10,sk_c6) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_36788]) ).
tff(c_37037,plain,
! [X3_336] :
( ( inverse(X3_336) != sk_c7 )
| ( multiply(X3_336,sk_c7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_37005]) ).
tff(c_37051,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37037]) ).
tff(c_37060,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_37051]) ).
tff(c_37061,plain,
! [X_337,Z_338] : ( multiply(inverse(X_337),multiply(X_337,Z_338)) = Z_338 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36483]) ).
tff(c_37094,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_36509,c_37061]) ).
tff(c_37147,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37094]) ).
tff(c_37175,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37147,c_37147,c_36829]) ).
tff(c_37180,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37175]) ).
tff(c_37182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37060,c_37180]) ).
tff(c_37184,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_37051]) ).
tff(c_37055,plain,
( ( inverse(identity) != sk_c7 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_37037]) ).
tff(c_37059,plain,
sk_c8 != sk_c7,
inference(splitLeft,[status(thm)],[c_37055]) ).
tff(c_37187,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37184,c_37059]) ).
tff(c_37195,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37184,c_36390]) ).
tff(c_37258,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_37195,c_2]) ).
tff(c_37193,plain,
multiply(sk_c3,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_37184,c_36425]) ).
tff(c_37274,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_37258,c_37193]) ).
tff(c_37278,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37274]) ).
tff(c_37280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37187,c_37278]) ).
tff(c_37282,plain,
sk_c8 = sk_c7,
inference(splitRight,[status(thm)],[c_37055]) ).
tff(c_37047,plain,
( ( inverse(sk_c4) != sk_c7 )
| ( sk_c8 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_36418,c_37037]) ).
tff(c_37058,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36394,c_37047]) ).
tff(c_37296,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37282,c_37058]) ).
tff(c_37287,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37282,c_36789]) ).
tff(c_37014,plain,
! [Z_335] : ( multiply(sk_c8,multiply(sk_c3,Z_335)) = Z_335 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36474]) ).
tff(c_37026,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36425,c_37014]) ).
tff(c_37284,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_37282,c_37282,c_37026]) ).
tff(c_37383,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37287,c_37284]) ).
tff(c_37384,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37296,c_37383]) ).
tff(c_37385,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(X4_10,sk_c6) != sk_c7 )
| ( inverse(X4_10) != 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_37005]) ).
tff(c_37519,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(X4_10,sk_c6) != identity )
| ( inverse(X4_10) != identity )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity )
| ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37494,c_37494,c_37494,c_37494,c_37494,c_37385]) ).
tff(c_37520,plain,
! [X2_9] :
( ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_37519]) ).
tff(c_38187,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37804,c_37495,c_37520]) ).
tff(c_37514,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37494,c_85]) ).
tff(c_37544,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37514,c_4]) ).
tff(c_37551,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_37544,c_36495]) ).
tff(c_37563,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37551]) ).
tff(c_37567,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37563,c_37514]) ).
tff(c_38189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38187,c_37567]) ).
tff(c_38190,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity )
| ( multiply(X4_10,sk_c6) != identity )
| ( inverse(X4_10) != identity ) ),
inference(splitRight,[status(thm)],[c_37519]) ).
tff(c_49152,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( identity != X4_10 )
| ( inverse(X4_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38510,c_37495,c_38510,c_38196,c_38196,c_38190]) ).
tff(c_49154,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_49152]) ).
tff(c_38202,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38196,c_36390]) ).
tff(c_38313,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_38202,c_2]) ).
tff(c_38203,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38196,c_36386]) ).
tff(c_38324,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38313,c_38203]) ).
tff(c_49156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49154,c_38324]) ).
tff(c_49158,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_49152]) ).
tff(c_49160,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49158,c_38324]) ).
tff(c_49162,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_44,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_49218,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_49162,c_44]) ).
tff(c_46,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_49203,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_49162,c_46]) ).
tff(c_49207,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49203,c_4]) ).
tff(c_49251,plain,
! [X_469,Y_470,Z_471] : ( multiply(multiply(X_469,Y_470),Z_471) = multiply(X_469,multiply(Y_470,Z_471)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_49275,plain,
! [Z_471] : ( multiply(sk_c8,multiply(sk_c3,Z_471)) = multiply(identity,Z_471) ),
inference(superposition,[status(thm),theory(equality)],[c_49207,c_49251]) ).
tff(c_49576,plain,
! [Z_477] : ( multiply(sk_c8,multiply(sk_c3,Z_477)) = Z_477 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49275]) ).
tff(c_49588,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_49218,c_49576]) ).
tff(c_49287,plain,
! [X_2,Z_471] : ( multiply(inverse(X_2),multiply(X_2,Z_471)) = multiply(identity,Z_471) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_49251]) ).
tff(c_50349,plain,
! [X_495,Z_496] : ( multiply(inverse(X_495),multiply(X_495,Z_496)) = Z_496 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49287]) ).
tff(c_50382,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_49588,c_50349]) ).
tff(c_50435,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50382]) ).
tff(c_49299,plain,
! [X_2,Z_471] : ( multiply(inverse(X_2),multiply(X_2,Z_471)) = Z_471 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49287]) ).
tff(c_51407,plain,
! [X_512,Z_513] : ( multiply(inverse(inverse(X_512)),Z_513) = multiply(X_512,Z_513) ),
inference(superposition,[status(thm),theory(equality)],[c_49299,c_50349]) ).
tff(c_50427,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_50349]) ).
tff(c_51414,plain,
! [X_512] : ( multiply(X_512,identity) = X_512 ),
inference(superposition,[status(thm),theory(equality)],[c_51407,c_50427]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_49234,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_49162,c_48]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_49170,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_49171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49162,c_49170]) ).
tff(c_49172,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_49177,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49172,c_4]) ).
tff(c_49281,plain,
! [Z_471] : ( multiply(sk_c7,multiply(sk_c4,Z_471)) = multiply(identity,Z_471) ),
inference(superposition,[status(thm),theory(equality)],[c_49177,c_49251]) ).
tff(c_50313,plain,
! [Z_493] : ( multiply(sk_c7,multiply(sk_c4,Z_493)) = Z_493 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49281]) ).
tff(c_50325,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_49234,c_50313]) ).
tff(c_50370,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_50325,c_50349]) ).
tff(c_50434,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50370]) ).
tff(c_54,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_49226,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_49162,c_54]) ).
tff(c_49161,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_49166,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49161,c_4]) ).
tff(c_49284,plain,
! [Z_471] : ( multiply(sk_c6,multiply(sk_c5,Z_471)) = multiply(identity,Z_471) ),
inference(superposition,[status(thm),theory(equality)],[c_49166,c_49251]) ).
tff(c_49599,plain,
! [Z_478] : ( multiply(sk_c6,multiply(sk_c5,Z_478)) = Z_478 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49284]) ).
tff(c_49611,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_49226,c_49599]) ).
tff(c_50444,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_50434,c_50434,c_49611]) ).
tff(c_50451,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50444]) ).
tff(c_50699,plain,
! [X_498,Z_499] : ( multiply(inverse(inverse(X_498)),Z_499) = multiply(X_498,Z_499) ),
inference(superposition,[status(thm),theory(equality)],[c_50349,c_49299]) ).
tff(c_50706,plain,
! [X_498] : ( multiply(X_498,identity) = X_498 ),
inference(superposition,[status(thm),theory(equality)],[c_50699,c_50427]) ).
tff(c_49302,plain,
! [Z_472] : ( multiply(sk_c8,multiply(sk_c3,Z_472)) = Z_472 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49275]) ).
tff(c_49314,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_49218,c_49302]) ).
tff(c_49348,plain,
! [X_474,Z_475] : ( multiply(inverse(X_474),multiply(X_474,Z_475)) = Z_475 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49287]) ).
tff(c_49372,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_49314,c_49348]) ).
tff(c_49421,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49372]) ).
tff(c_49381,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_49234,c_49348]) ).
tff(c_49422,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_49172,c_49381]) ).
tff(c_49526,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49421,c_2,c_49421,c_49422]) ).
tff(c_49325,plain,
! [Z_473] : ( multiply(sk_c6,multiply(sk_c5,Z_473)) = Z_473 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49284]) ).
tff(c_49337,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_49226,c_49325]) ).
tff(c_49529,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_49526,c_49526,c_49337]) ).
tff(c_49535,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49529]) ).
tff(c_49301,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_49428,plain,
multiply(identity,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_49421,c_49301]) ).
tff(c_49436,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49428]) ).
tff(c_49528,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_49526,c_49436]) ).
tff(c_49566,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49535,c_49528]) ).
tff(c_49567,plain,
! [X5_6,X1_8,X3_7,X2_9,X4_10] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( multiply(X4_10,sk_c6) != sk_c7 )
| ( inverse(X4_10) != 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 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_49697,plain,
! [X5_482] :
( ( multiply(X5_482,sk_c8) != sk_c6 )
| ( inverse(X5_482) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_49567]) ).
tff(c_49707,plain,
inverse(sk_c5) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_49226,c_49697]) ).
tff(c_49723,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49161,c_49707]) ).
tff(c_49724,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(X4_10,sk_c6) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_49567]) ).
tff(c_49810,plain,
! [X3_486] :
( ( inverse(X3_486) != sk_c7 )
| ( multiply(X3_486,sk_c7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_49724]) ).
tff(c_49827,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_49810]) ).
tff(c_49836,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_49827]) ).
tff(c_49733,plain,
! [Z_483] : ( multiply(sk_c7,multiply(sk_c4,Z_483)) = Z_483 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49281]) ).
tff(c_49745,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_49234,c_49733]) ).
tff(c_49956,plain,
! [X_489,Z_490] : ( multiply(inverse(X_489),multiply(X_489,Z_490)) = Z_490 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49287]) ).
tff(c_49998,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_49745,c_49956]) ).
tff(c_50066,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49998]) ).
tff(c_50082,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_50066,c_50066,c_49611]) ).
tff(c_50092,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50082]) ).
tff(c_50094,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49836,c_50092]) ).
tff(c_50096,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_49827]) ).
tff(c_49831,plain,
( ( inverse(identity) != sk_c7 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_49810]) ).
tff(c_49835,plain,
sk_c8 != sk_c7,
inference(splitLeft,[status(thm)],[c_49831]) ).
tff(c_50097,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_50096,c_49835]) ).
tff(c_50108,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50096,c_49207]) ).
tff(c_50180,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_50108,c_2]) ).
tff(c_50107,plain,
multiply(sk_c3,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_50096,c_49218]) ).
tff(c_50201,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_50180,c_50107]) ).
tff(c_50204,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50201]) ).
tff(c_50206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50097,c_50204]) ).
tff(c_50208,plain,
sk_c8 = sk_c7,
inference(splitRight,[status(thm)],[c_49831]) ).
tff(c_49823,plain,
( ( inverse(sk_c4) != sk_c7 )
| ( sk_c8 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_49234,c_49810]) ).
tff(c_49834,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_49172,c_49823]) ).
tff(c_50210,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50208,c_49834]) ).
tff(c_49769,plain,
! [Z_485] : ( multiply(sk_c5,multiply(sk_c8,Z_485)) = multiply(sk_c6,Z_485) ),
inference(superposition,[status(thm),theory(equality)],[c_49226,c_49251]) ).
tff(c_49784,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_49588,c_49769]) ).
tff(c_49794,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_49226,c_49784]) ).
tff(c_49568,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_50216,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50208,c_49568]) ).
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_49572,plain,
! [Z_5] : ( multiply(sk_c7,multiply(sk_c8,Z_5)) = multiply(sk_c6,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_49568,c_6]) ).
tff(c_50268,plain,
! [Z_492] : ( multiply(sk_c7,multiply(sk_c7,Z_492)) = multiply(sk_c6,Z_492) ),
inference(demodulation,[status(thm),theory(equality)],[c_50208,c_49572]) ).
tff(c_50289,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_50216,c_50268]) ).
tff(c_50309,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_49745,c_49794,c_50289]) ).
tff(c_50311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50210,c_50309]) ).
tff(c_50312,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(X4_10,sk_c6) != sk_c7 )
| ( inverse(X4_10) != 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_49724]) ).
tff(c_50456,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(X4_10,identity) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50434,c_50434,c_50312]) ).
tff(c_50457,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != identity ) ),
inference(splitLeft,[status(thm)],[c_50456]) ).
tff(c_51090,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_50706,c_50435,c_50435,c_50457]) ).
tff(c_50465,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50435,c_49172]) ).
tff(c_50484,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50465,c_4]) ).
tff(c_50491,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_50484,c_49299]) ).
tff(c_50503,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50491]) ).
tff(c_50507,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50503,c_50465]) ).
tff(c_51092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51090,c_50507]) ).
tff(c_51093,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(X4_10,identity) != sk_c7 )
| ( inverse(X4_10) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_50456]) ).
tff(c_60047,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( identity != X4_10 )
| ( inverse(X4_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50435,c_51414,c_50435,c_51414,c_50451,c_50435,c_50451,c_51093]) ).
tff(c_60049,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_60047]) ).
tff(c_51145,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50451,c_49203]) ).
tff(c_51166,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_51145,c_4]) ).
tff(c_51225,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_51166,c_49299]) ).
tff(c_51237,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51225]) ).
tff(c_51241,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51237,c_51145]) ).
tff(c_60051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60049,c_51241]) ).
tff(c_60053,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_60047]) ).
tff(c_60055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60053,c_51241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP331-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Aug 3 22:09:06 EDT 2023
% 0.12/0.32 % CPUTime :
% 17.09/6.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.09/6.96
% 17.09/6.96 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.51/7.03
% 17.51/7.03 Inference rules
% 17.51/7.03 ----------------------
% 17.51/7.03 #Ref : 0
% 17.51/7.03 #Sup : 14676
% 17.51/7.03 #Fact : 0
% 17.51/7.03 #Define : 0
% 17.51/7.03 #Split : 41
% 17.51/7.03 #Chain : 0
% 17.51/7.03 #Close : 0
% 17.51/7.03
% 17.51/7.03 Ordering : KBO
% 17.51/7.03
% 17.51/7.03 Simplification rules
% 17.51/7.03 ----------------------
% 17.51/7.03 #Subsume : 15
% 17.51/7.03 #Demod : 40968
% 17.51/7.03 #Tautology : 11722
% 17.51/7.03 #SimpNegUnit : 81
% 17.51/7.03 #BackRed : 608
% 17.51/7.03
% 17.51/7.03 #Partial instantiations: 0
% 17.51/7.03 #Strategies tried : 1
% 17.51/7.03
% 17.51/7.03 Timing (in seconds)
% 17.51/7.03 ----------------------
% 17.51/7.03 Preprocessing : 0.49
% 17.51/7.03 Parsing : 0.20
% 17.51/7.03 CNF conversion : 0.03
% 17.51/7.03 Main loop : 5.50
% 17.51/7.03 Inferencing : 1.35
% 17.51/7.03 Reduction : 3.31
% 17.51/7.03 Demodulation : 3.08
% 17.51/7.03 BG Simplification : 0.12
% 17.51/7.03 Subsumption : 0.47
% 17.51/7.03 Abstraction : 0.30
% 17.51/7.03 MUC search : 0.00
% 17.51/7.03 Cooper : 0.00
% 17.51/7.03 Total : 6.13
% 17.51/7.03 Index Insertion : 0.00
% 17.51/7.03 Index Deletion : 0.00
% 17.51/7.03 Index Matching : 0.00
% 17.51/7.03 BG Taut test : 0.00
%------------------------------------------------------------------------------