TSTP Solution File: GRP316-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP316-1 : 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 : n009.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 10:40:54 EDT 2023
% Result : Unsatisfiable 18.15s 7.84s
% Output : CNFRefutation 18.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 44
% Syntax : Number of formulae : 381 ( 290 unt; 11 typ; 0 def)
% Number of atoms : 560 ( 541 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 376 ( 186 ~; 190 |; 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 : 178 (; 178 !; 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_134,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(X3,sk_c8) != sk_c7 )
| ( inverse(X3) != sk_c8 )
| ( multiply(X4,sk_c7) != sk_c6 )
| ( inverse(X4) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(sk_c8,X1) != sk_c7 )
| ( multiply(X2,sk_c8) != X1 )
| ( inverse(X2) != sk_c8 )
| ( multiply(X5,sk_c6) != sk_c8 )
| ( inverse(X5) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = 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_32964,plain,
! [X_341,Y_342,Z_343] : ( multiply(multiply(X_341,Y_342),Z_343) = multiply(X_341,multiply(Y_342,Z_343)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33000,plain,
! [X_2,Z_343] : ( multiply(inverse(X_2),multiply(X_2,Z_343)) = multiply(identity,Z_343) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32964]) ).
tff(c_33391,plain,
! [X_348,Z_349] : ( multiply(inverse(X_348),multiply(X_348,Z_349)) = Z_349 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33000]) ).
tff(c_33011,plain,
! [X_2,Z_343] : ( multiply(inverse(X_2),multiply(X_2,Z_343)) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33000]) ).
tff(c_33714,plain,
! [X_351,Z_352] : ( multiply(inverse(inverse(X_351)),Z_352) = multiply(X_351,Z_352) ),
inference(superposition,[status(thm),theory(equality)],[c_33391,c_33011]) ).
tff(c_33442,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33391]) ).
tff(c_33721,plain,
! [X_351] : ( multiply(X_351,identity) = X_351 ),
inference(superposition,[status(thm),theory(equality)],[c_33714,c_33442]) ).
tff(c_23411,plain,
! [X_223,Y_224,Z_225] : ( multiply(multiply(X_223,Y_224),Z_225) = multiply(X_223,multiply(Y_224,Z_225)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_23447,plain,
! [X_2,Z_225] : ( multiply(inverse(X_2),multiply(X_2,Z_225)) = multiply(identity,Z_225) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23411]) ).
tff(c_24589,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_23447]) ).
tff(c_23458,plain,
! [X_2,Z_225] : ( multiply(inverse(X_2),multiply(X_2,Z_225)) = Z_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23447]) ).
tff(c_24993,plain,
! [X_252,Z_253] : ( multiply(inverse(inverse(X_252)),Z_253) = multiply(X_252,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_24589,c_23458]) ).
tff(c_24637,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24589]) ).
tff(c_25000,plain,
! [X_252] : ( multiply(X_252,identity) = X_252 ),
inference(superposition,[status(thm),theory(equality)],[c_24993,c_24637]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_115,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_66,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_89,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_22060,plain,
! [X_200,Y_201,Z_202] : ( multiply(multiply(X_200,Y_201),Z_202) = multiply(X_200,multiply(Y_201,Z_202)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_22102,plain,
! [Z_202] : ( multiply(sk_c7,multiply(sk_c2,Z_202)) = multiply(identity,Z_202) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_22060]) ).
tff(c_22144,plain,
! [Z_204] : ( multiply(sk_c7,multiply(sk_c2,Z_204)) = Z_204 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22102]) ).
tff(c_22156,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_115,c_22144]) ).
tff(c_22105,plain,
! [X_2,Z_202] : ( multiply(inverse(X_2),multiply(X_2,Z_202)) = multiply(identity,Z_202) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22060]) ).
tff(c_22201,plain,
! [X_206,Z_207] : ( multiply(inverse(X_206),multiply(X_206,Z_207)) = Z_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22105]) ).
tff(c_22219,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22156,c_22201]) ).
tff(c_22250,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22219]) ).
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_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_237,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_730,plain,
! [X_25,Z_26] : ( multiply(inverse(inverse(X_25)),Z_26) = multiply(X_25,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_189,c_237]) ).
tff(c_291,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_237]) ).
tff(c_737,plain,
! [X_25] : ( multiply(X_25,identity) = X_25 ),
inference(superposition,[status(thm),theory(equality)],[c_730,c_291]) ).
tff(c_26,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_123,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_42,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_102,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_173,plain,
! [Z_15] : ( multiply(sk_c8,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_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_203,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_123,c_191]) ).
tff(c_261,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_203,c_237]) ).
tff(c_299,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_261]) ).
tff(c_451,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_299,c_85]) ).
tff(c_462,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_451,c_4]) ).
tff(c_501,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_462,c_189]) ).
tff(c_513,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_501]) ).
tff(c_517,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_513,c_451]) ).
tff(c_579,plain,
! [X_21] : ( multiply(inverse(inverse(X_21)),identity) = X_21 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_237]) ).
tff(c_585,plain,
! [X_21] : ( multiply(inverse(inverse(inverse(X_21))),X_21) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_579,c_189]) ).
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_214,plain,
! [Z_17] : ( multiply(sk_c7,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_176]) ).
tff(c_226,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_115,c_214]) ).
tff(c_255,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_226,c_237]) ).
tff(c_298,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_255]) ).
tff(c_14,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_122,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_68,plain,
! [X5_6,X2_9,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_305,plain,
! [X5_6,X2_9,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122,c_68]) ).
tff(c_306,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_305]) ).
tff(c_372,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_299,c_2,c_298,c_306]) ).
tff(c_308,plain,
multiply(sk_c7,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_122]) ).
tff(c_436,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_299,c_308]) ).
tff(c_437,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372,c_436]) ).
tff(c_439,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_305]) ).
tff(c_466,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_299,c_2,c_298,c_439]) ).
tff(c_438,plain,
! [X3_7,X4_10,X2_9,X5_6] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_305]) ).
tff(c_538,plain,
! [X3_7,X4_10,X2_9,X5_6] :
( ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != identity )
| ( inverse(X4_10) != identity )
| ( multiply(X4_10,identity) != identity )
| ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != identity )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_466,c_298,c_298,c_466,c_2,c_466,c_299,c_466,c_299,c_298,c_299,c_466,c_299,c_466,c_438]) ).
tff(c_638,plain,
! [X5_23] :
( ( inverse(X5_23) != identity )
| ( multiply(X5_23,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_538]) ).
tff(c_642,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_585,c_638]) ).
tff(c_661,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_517,c_517,c_517,c_517,c_642]) ).
tff(c_662,plain,
! [X2_9,X4_10,X3_7] :
( ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != identity )
| ( inverse(X4_10) != identity )
| ( multiply(X4_10,identity) != identity )
| ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_538]) ).
tff(c_20086,plain,
! [X2_9,X4_10,X3_7] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_737,c_737,c_737,c_662]) ).
tff(c_20088,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_20086]) ).
tff(c_20090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20088,c_517]) ).
tff(c_20091,plain,
! [X4_10,X2_9] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(splitRight,[status(thm)],[c_20086]) ).
tff(c_20093,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_20091]) ).
tff(c_20095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20093,c_517]) ).
tff(c_20878,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_20091]) ).
tff(c_20880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20878,c_517]) ).
tff(c_20882,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_20924,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_20882,c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_20899,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_20882,c_30]) ).
tff(c_20903,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20899,c_4]) ).
tff(c_20942,plain,
! [X_179,Y_180,Z_181] : ( multiply(multiply(X_179,Y_180),Z_181) = multiply(X_179,multiply(Y_180,Z_181)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_20969,plain,
! [Z_181] : ( multiply(sk_c6,multiply(sk_c5,Z_181)) = multiply(identity,Z_181) ),
inference(superposition,[status(thm),theory(equality)],[c_20903,c_20942]) ).
tff(c_21613,plain,
! [Z_195] : ( multiply(sk_c6,multiply(sk_c5,Z_195)) = Z_195 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20969]) ).
tff(c_21625,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_20924,c_21613]) ).
tff(c_20,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_20937,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_20882,c_20]) ).
tff(c_21669,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21625,c_20937]) ).
tff(c_20984,plain,
! [Z_181] : ( multiply(sk_c7,multiply(sk_c2,Z_181)) = multiply(identity,Z_181) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_20942]) ).
tff(c_21590,plain,
! [Z_194] : ( multiply(sk_c7,multiply(sk_c2,Z_194)) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20984]) ).
tff(c_21602,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_115,c_21590]) ).
tff(c_21679,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21669,c_21669,c_21602]) ).
tff(c_20987,plain,
! [X_2,Z_181] : ( multiply(inverse(X_2),multiply(X_2,Z_181)) = multiply(identity,Z_181) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20942]) ).
tff(c_21743,plain,
! [X_197,Z_198] : ( multiply(inverse(X_197),multiply(X_197,Z_198)) = Z_198 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20987]) ).
tff(c_21770,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_21679,c_21743]) ).
tff(c_21823,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_21770]) ).
tff(c_22,plain,
( ( multiply(sk_c8,sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_20917,plain,
multiply(sk_c8,sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_20882,c_22]) ).
tff(c_21681,plain,
multiply(sk_c8,sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21669,c_20917]) ).
tff(c_20881,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_24,plain,
( ( multiply(sk_c3,sk_c8) = sk_c4 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_20930,plain,
multiply(sk_c3,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_20882,c_24]) ).
tff(c_21791,plain,
multiply(inverse(sk_c3),sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_20930,c_21743]) ).
tff(c_21826,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21681,c_20881,c_21791]) ).
tff(c_21838,plain,
multiply(sk_c6,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21826,c_102]) ).
tff(c_21948,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21823,c_21838]) ).
tff(c_21682,plain,
multiply(sk_c1,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21669,c_20882]) ).
tff(c_21830,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21826,c_21682]) ).
tff(c_21997,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21948,c_21823,c_21823,c_21830]) ).
tff(c_21999,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_22011,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_21999,c_18]) ).
tff(c_22255,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22250,c_22011]) ).
tff(c_10,plain,
( ( multiply(sk_c8,sk_c4) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_22050,plain,
multiply(sk_c8,sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_21999,c_10]) ).
tff(c_12,plain,
( ( multiply(sk_c3,sk_c8) = sk_c4 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_22045,plain,
multiply(sk_c3,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_21999,c_12]) ).
tff(c_21998,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_22003,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21998,c_4]) ).
tff(c_22093,plain,
! [Z_202] : ( multiply(sk_c8,multiply(sk_c3,Z_202)) = multiply(identity,Z_202) ),
inference(superposition,[status(thm),theory(equality)],[c_22003,c_22060]) ).
tff(c_22167,plain,
! [Z_205] : ( multiply(sk_c8,multiply(sk_c3,Z_205)) = Z_205 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22093]) ).
tff(c_22179,plain,
multiply(sk_c8,sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_22045,c_22167]) ).
tff(c_22183,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22050,c_22179]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_22029,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_21999,c_16]) ).
tff(c_22191,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22183,c_22029]) ).
tff(c_22302,plain,
multiply(sk_c5,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22250,c_22191]) ).
tff(c_22117,plain,
! [X_2,Z_202] : ( multiply(inverse(X_2),multiply(X_2,Z_202)) = Z_202 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22105]) ).
tff(c_22306,plain,
multiply(inverse(sk_c5),sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22302,c_22117]) ).
tff(c_22312,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22255,c_22306]) ).
tff(c_22193,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_22183,c_21999]) ).
tff(c_22406,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22312,c_2,c_22312,c_22250,c_22193]) ).
tff(c_22408,plain,
multiply(sk_c2,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_46,plain,
( ( multiply(sk_c8,sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_22446,plain,
multiply(sk_c8,sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_22408,c_46]) ).
tff(c_48,plain,
( ( multiply(sk_c3,sk_c8) = sk_c4 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_22457,plain,
multiply(sk_c3,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_22408,c_48]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_22421,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_22408,c_50]) ).
tff(c_22425,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22421,c_4]) ).
tff(c_22468,plain,
! [X_209,Y_210,Z_211] : ( multiply(multiply(X_209,Y_210),Z_211) = multiply(X_209,multiply(Y_210,Z_211)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_22495,plain,
! [Z_211] : ( multiply(sk_c8,multiply(sk_c3,Z_211)) = multiply(identity,Z_211) ),
inference(superposition,[status(thm),theory(equality)],[c_22425,c_22468]) ).
tff(c_22547,plain,
! [Z_214] : ( multiply(sk_c8,multiply(sk_c3,Z_214)) = Z_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22495]) ).
tff(c_22559,plain,
multiply(sk_c8,sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_22457,c_22547]) ).
tff(c_22563,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22446,c_22559]) ).
tff(c_44,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_22452,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_22408,c_44]) ).
tff(c_22567,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22563,c_22452]) ).
tff(c_22407,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_22440,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_22408,c_52]) ).
tff(c_22569,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22563,c_22440]) ).
tff(c_22507,plain,
! [X_2,Z_211] : ( multiply(inverse(X_2),multiply(X_2,Z_211)) = multiply(identity,Z_211) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22468]) ).
tff(c_22519,plain,
! [X_2,Z_211] : ( multiply(inverse(X_2),multiply(X_2,Z_211)) = Z_211 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22507]) ).
tff(c_23081,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22569,c_22519]) ).
tff(c_23087,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_22567,c_22407,c_23081]) ).
tff(c_22568,plain,
multiply(sk_c7,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22563,c_22446]) ).
tff(c_22639,plain,
! [X_215,Z_216] : ( multiply(inverse(X_215),multiply(X_215,Z_216)) = Z_216 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22507]) ).
tff(c_22666,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_22568,c_22639]) ).
tff(c_22708,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22666]) ).
tff(c_22657,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22569,c_22639]) ).
tff(c_22706,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_22567,c_22407,c_22657]) ).
tff(c_22566,plain,
multiply(sk_c3,sk_c7) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_22563,c_22457]) ).
tff(c_22711,plain,
multiply(sk_c3,sk_c6) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_22706,c_22566]) ).
tff(c_22829,plain,
multiply(sk_c3,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22708,c_22711]) ).
tff(c_22715,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_22706,c_22706,c_22567]) ).
tff(c_22719,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_22706,c_22563]) ).
tff(c_22483,plain,
! [Z_211] : ( multiply(sk_c3,multiply(sk_c8,Z_211)) = multiply(sk_c4,Z_211) ),
inference(superposition,[status(thm),theory(equality)],[c_22457,c_22468]) ).
tff(c_22790,plain,
! [Z_211] : ( multiply(sk_c3,multiply(sk_c6,Z_211)) = Z_211 ),
inference(demodulation,[status(thm),theory(equality)],[c_22719,c_2,c_22708,c_22483]) ).
tff(c_22860,plain,
multiply(sk_c3,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22715,c_22790]) ).
tff(c_22869,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22829,c_22860]) ).
tff(c_22585,plain,
! [X5_6,X2_9,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_9,sk_c7)) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22563,c_22563,c_22563,c_22563,c_22563,c_22563,c_22563,c_22563,c_68]) ).
tff(c_22586,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_22585]) ).
tff(c_22716,plain,
multiply(sk_c6,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_22706,c_22706,c_22586]) ).
tff(c_22971,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22869,c_22716]) ).
tff(c_22973,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_22585]) ).
tff(c_23090,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23087,c_23087,c_22973]) ).
tff(c_23231,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23090,c_22519]) ).
tff(c_23238,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_23231]) ).
tff(c_23098,plain,
multiply(sk_c6,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23087,c_89]) ).
tff(c_23338,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23238,c_23098]) ).
tff(c_23097,plain,
multiply(sk_c2,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23087,c_22408]) ).
tff(c_23336,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_23238,c_23238,c_23097]) ).
tff(c_23339,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_23338,c_23336]) ).
tff(c_23343,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23339]) ).
tff(c_23345,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_34,plain,
( ( multiply(sk_c8,sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_23380,plain,
multiply(sk_c8,sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_23345,c_34]) ).
tff(c_36,plain,
( ( multiply(sk_c3,sk_c8) = sk_c4 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_23374,plain,
multiply(sk_c3,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_23345,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_23353,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_23345,c_38]) ).
tff(c_23357,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23353,c_4]) ).
tff(c_23438,plain,
! [Z_225] : ( multiply(sk_c8,multiply(sk_c3,Z_225)) = multiply(identity,Z_225) ),
inference(superposition,[status(thm),theory(equality)],[c_23357,c_23411]) ).
tff(c_23866,plain,
! [Z_232] : ( multiply(sk_c8,multiply(sk_c3,Z_232)) = Z_232 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23438]) ).
tff(c_23878,plain,
multiply(sk_c8,sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_23374,c_23866]) ).
tff(c_23882,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23380,c_23878]) ).
tff(c_32,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_23369,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_23345,c_32]) ).
tff(c_23888,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23882,c_23369]) ).
tff(c_23344,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_40,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_23389,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_23345,c_40]) ).
tff(c_23885,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23882,c_23389]) ).
tff(c_24665,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23885,c_23458]) ).
tff(c_24671,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23888,c_23344,c_24665]) ).
tff(c_23890,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23882,c_23353]) ).
tff(c_24714,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24671,c_23890]) ).
tff(c_24732,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24714,c_4]) ).
tff(c_23886,plain,
multiply(sk_c7,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23882,c_23380]) ).
tff(c_24607,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_23886,c_24589]) ).
tff(c_24644,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24607]) ).
tff(c_24646,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_24644,c_23886]) ).
tff(c_24800,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24671,c_24671,c_24646]) ).
tff(c_24715,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24671,c_23882]) ).
tff(c_23435,plain,
! [Z_225] : ( multiply(sk_c6,multiply(sk_c8,Z_225)) = multiply(sk_c7,Z_225) ),
inference(superposition,[status(thm),theory(equality)],[c_23369,c_23411]) ).
tff(c_24746,plain,
! [Z_225] : ( multiply(sk_c6,multiply(sk_c6,Z_225)) = multiply(sk_c6,Z_225) ),
inference(demodulation,[status(thm),theory(equality)],[c_24715,c_24671,c_23435]) ).
tff(c_24820,plain,
multiply(sk_c6,sk_c3) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_24732,c_24746]) ).
tff(c_24829,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24732,c_24800,c_24820]) ).
tff(c_24841,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24829,c_24671]) ).
tff(c_24014,plain,
! [X_235,Z_236] : ( multiply(inverse(X_235),multiply(X_235,Z_236)) = Z_236 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23447]) ).
tff(c_24322,plain,
! [X_240,Z_241] : ( multiply(inverse(inverse(X_240)),Z_241) = multiply(X_240,Z_241) ),
inference(superposition,[status(thm),theory(equality)],[c_24014,c_23458]) ).
tff(c_24047,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24014]) ).
tff(c_24329,plain,
! [X_240] : ( multiply(X_240,identity) = X_240 ),
inference(superposition,[status(thm),theory(equality)],[c_24322,c_24047]) ).
tff(c_23349,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23344,c_4]) ).
tff(c_23441,plain,
! [Z_225] : ( multiply(sk_c6,multiply(sk_c5,Z_225)) = multiply(identity,Z_225) ),
inference(superposition,[status(thm),theory(equality)],[c_23349,c_23411]) ).
tff(c_23949,plain,
! [Z_233] : ( multiply(sk_c6,multiply(sk_c5,Z_233)) = Z_233 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23441]) ).
tff(c_23961,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23885,c_23949]) ).
tff(c_23979,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23961,c_23888]) ).
tff(c_23476,plain,
! [Z_227] : ( multiply(sk_c8,multiply(sk_c3,Z_227)) = Z_227 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23438]) ).
tff(c_23488,plain,
multiply(sk_c8,sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_23374,c_23476]) ).
tff(c_23492,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23380,c_23488]) ).
tff(c_23495,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23492,c_23389]) ).
tff(c_23563,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23495,c_23458]) ).
tff(c_23569,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23344,c_23563]) ).
tff(c_23627,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23569,c_23458]) ).
tff(c_23633,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_23627]) ).
tff(c_23498,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23492,c_23369]) ).
tff(c_23623,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23569,c_23498]) ).
tff(c_23690,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23633,c_23623]) ).
tff(c_23461,plain,
! [X5_6,X2_9,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23369,c_68]) ).
tff(c_23462,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_23461]) ).
tff(c_23494,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23492,c_23462]) ).
tff(c_23636,plain,
multiply(sk_c6,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23623,c_23623,c_23494]) ).
tff(c_23856,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23690,c_23636]) ).
tff(c_23858,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_23461]) ).
tff(c_23884,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23882,c_23858]) ).
tff(c_23992,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23979,c_23979,c_23884]) ).
tff(c_24132,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23992,c_23458]) ).
tff(c_24138,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24132]) ).
tff(c_24148,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24138,c_23979]) ).
tff(c_23857,plain,
! [X3_7,X4_10,X2_9,X5_6] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_23461]) ).
tff(c_23933,plain,
! [X3_7,X4_10,X2_9,X5_6] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_9,sk_c7)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23882,c_23882,c_23882,c_23882,c_23882,c_23882,c_23857]) ).
tff(c_23934,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_23933]) ).
tff(c_24585,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24329,c_24148,c_24138,c_24138,c_23934]) ).
tff(c_23998,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_23979,c_85]) ).
tff(c_24061,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23998,c_4]) ).
tff(c_24194,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24138,c_24061]) ).
tff(c_24144,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24138,c_23998]) ).
tff(c_24199,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24194,c_24144]) ).
tff(c_24587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24585,c_24199]) ).
tff(c_24588,plain,
! [X2_9,X4_10,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_9,sk_c7)) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_23933]) ).
tff(c_32869,plain,
! [X2_9,X4_10,X3_7] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25000,c_24841,c_24841,c_24841,c_25000,c_24841,c_24829,c_24841,c_25000,c_24841,c_24841,c_2,c_24841,c_24841,c_24588]) ).
tff(c_32871,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_32869]) ).
tff(c_24716,plain,
multiply(sk_c6,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24671,c_89]) ).
tff(c_24889,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24829,c_24716]) ).
tff(c_24717,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24671,c_85]) ).
tff(c_24837,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24829,c_24717]) ).
tff(c_24890,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24889,c_24837]) ).
tff(c_32873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32871,c_24890]) ).
tff(c_32874,plain,
! [X4_10,X2_9] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(splitRight,[status(thm)],[c_32869]) ).
tff(c_32876,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_32874]) ).
tff(c_32878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32876,c_24890]) ).
tff(c_32881,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_32874]) ).
tff(c_32883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32881,c_24890]) ).
tff(c_32885,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_58,plain,
( ( multiply(sk_c8,sk_c4) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_32932,plain,
multiply(sk_c8,sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32885,c_58]) ).
tff(c_60,plain,
( ( multiply(sk_c3,sk_c8) = sk_c4 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_32941,plain,
multiply(sk_c3,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_32885,c_60]) ).
tff(c_62,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_32897,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32885,c_62]) ).
tff(c_32901,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32897,c_4]) ).
tff(c_32994,plain,
! [Z_343] : ( multiply(sk_c8,multiply(sk_c3,Z_343)) = multiply(identity,Z_343) ),
inference(superposition,[status(thm),theory(equality)],[c_32901,c_32964]) ).
tff(c_33013,plain,
! [Z_344] : ( multiply(sk_c8,multiply(sk_c3,Z_344)) = Z_344 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32994]) ).
tff(c_33025,plain,
multiply(sk_c8,sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_32941,c_33013]) ).
tff(c_33029,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32932,c_33025]) ).
tff(c_56,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_32911,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32885,c_56]) ).
tff(c_33036,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33029,c_32911]) ).
tff(c_32884,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_64,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_32947,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32885,c_64]) ).
tff(c_33031,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33029,c_32947]) ).
tff(c_33421,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_33031,c_33391]) ).
tff(c_33451,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33036,c_32884,c_33421]) ).
tff(c_33458,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33451,c_33451,c_33036]) ).
tff(c_33524,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_33458,c_33011]) ).
tff(c_33530,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33524]) ).
tff(c_33539,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33530,c_33451]) ).
tff(c_33081,plain,
! [X_345,Z_346] : ( multiply(inverse(X_345),multiply(X_345,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33000]) ).
tff(c_33102,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_33031,c_33081]) ).
tff(c_33130,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_32884,c_33102]) ).
tff(c_33188,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33130,c_33011]) ).
tff(c_33194,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33188]) ).
tff(c_33184,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33130,c_33036]) ).
tff(c_33233,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33194,c_33184]) ).
tff(c_33043,plain,
! [X5_6,X2_9,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_9,sk_c7)) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33029,c_33029,c_33029,c_33029,c_33029,c_33029,c_33029,c_33029,c_68]) ).
tff(c_33044,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_33043]) ).
tff(c_33198,plain,
multiply(sk_c6,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33184,c_33184,c_33044]) ).
tff(c_33331,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33233,c_33198]) ).
tff(c_33332,plain,
! [X3_7,X4_10,X2_9,X5_6] :
( ( multiply(sk_c6,sk_c7) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_9,sk_c7)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_33043]) ).
tff(c_41825,plain,
! [X3_7,X4_10,X2_9,X5_6] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33721,c_33539,c_33530,c_33530,c_33721,c_33539,c_33539,c_2,c_33539,c_33539,c_33721,c_33539,c_33530,c_33539,c_33721,c_33539,c_33539,c_33539,c_2,c_33530,c_33332]) ).
tff(c_41827,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_41825]) ).
tff(c_33038,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33029,c_32897]) ).
tff(c_33463,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33451,c_33038]) ).
tff(c_33492,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33463,c_4]) ).
tff(c_33551,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33530,c_33492]) ).
tff(c_33536,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33530,c_33463]) ).
tff(c_33570,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33551,c_33536]) ).
tff(c_41829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41827,c_33570]) ).
tff(c_41830,plain,
! [X2_9,X4_10,X3_7] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_41825]) ).
tff(c_63422,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_41830]) ).
tff(c_63424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63422,c_33570]) ).
tff(c_63425,plain,
! [X4_10,X2_9] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(splitRight,[status(thm)],[c_41830]) ).
tff(c_63427,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_63425]) ).
tff(c_63429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63427,c_33570]) ).
tff(c_63432,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_63425]) ).
tff(c_63434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63432,c_33570]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP316-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10 % 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
% 0.11/0.29 % Computer : n009.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Thu Aug 3 22:15:38 EDT 2023
% 0.11/0.29 % CPUTime :
% 18.15/7.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.15/7.86
% 18.15/7.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.34/7.92
% 18.34/7.92 Inference rules
% 18.34/7.92 ----------------------
% 18.34/7.92 #Ref : 0
% 18.34/7.92 #Sup : 15410
% 18.34/7.92 #Fact : 0
% 18.34/7.92 #Define : 0
% 18.34/7.92 #Split : 23
% 18.34/7.92 #Chain : 0
% 18.34/7.92 #Close : 0
% 18.34/7.92
% 18.34/7.92 Ordering : KBO
% 18.34/7.92
% 18.34/7.92 Simplification rules
% 18.34/7.92 ----------------------
% 18.34/7.92 #Subsume : 7
% 18.34/7.92 #Demod : 47994
% 18.34/7.92 #Tautology : 12446
% 18.34/7.92 #SimpNegUnit : 38
% 18.34/7.92 #BackRed : 388
% 18.34/7.92
% 18.34/7.92 #Partial instantiations: 0
% 18.34/7.92 #Strategies tried : 1
% 18.34/7.92
% 18.34/7.92 Timing (in seconds)
% 18.34/7.92 ----------------------
% 18.34/7.92 Preprocessing : 0.50
% 18.34/7.92 Parsing : 0.20
% 18.34/7.92 CNF conversion : 0.02
% 18.34/7.92 Main loop : 6.50
% 18.34/7.92 Inferencing : 1.57
% 18.34/7.92 Reduction : 4.03
% 18.34/7.92 Demodulation : 3.77
% 18.34/7.92 BG Simplification : 0.15
% 18.34/7.92 Subsumption : 0.51
% 18.34/7.92 Abstraction : 0.38
% 18.34/7.92 MUC search : 0.00
% 18.34/7.92 Cooper : 0.00
% 18.34/7.92 Total : 7.10
% 18.34/7.92 Index Insertion : 0.00
% 18.34/7.92 Index Deletion : 0.00
% 18.34/7.92 Index Matching : 0.00
% 18.34/7.92 BG Taut test : 0.00
%------------------------------------------------------------------------------