TSTP Solution File: GRP386-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP386-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n022.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 10:41:09 EDT 2023
% Result : Unsatisfiable 19.77s 8.49s
% Output : CNFRefutation 20.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 42
% Syntax : Number of formulae : 403 ( 316 unt; 13 typ; 0 def)
% Number of atoms : 566 ( 550 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 358 ( 182 ~; 176 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 236 (; 236 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c10 > 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_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $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_74,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c4) = sk_c7 ) ),
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_194,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c10 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_257,axiom,
! [X5,X6,X3,X7,X1,X2,X4] :
( ( inverse(sk_c10) != sk_c9 )
| ( multiply(sk_c9,sk_c8) != sk_c10 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( inverse(X2) != sk_c10 )
| ( multiply(X2,sk_c9) != sk_c10 )
| ( multiply(X1,sk_c10) != sk_c9 )
| ( inverse(X1) != sk_c10 )
| ( multiply(X3,sk_c9) != sk_c8 )
| ( inverse(X3) != sk_c9 )
| ( multiply(X4,X5) != sk_c10 )
| ( inverse(X4) != X5 )
| ( multiply(X5,sk_c9) != sk_c10 )
| ( inverse(X6) != X7 )
| ( inverse(X7) != X5 )
| ( multiply(X6,X5) != X7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c10 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c10 )
| ( multiply(sk_c4,sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c4,sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c10 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c10 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c4,sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_14,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_138,plain,
inverse(sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_142,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138,c_4]) ).
tff(c_78,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_125,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_129,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_125,c_4]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_34313,plain,
! [X_313,Y_314,Z_315] : ( multiply(multiply(X_313,Y_314),Z_315) = multiply(X_313,multiply(Y_314,Z_315)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34364,plain,
! [Z_315] : ( multiply(sk_c9,multiply(sk_c10,Z_315)) = multiply(identity,Z_315) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_34313]) ).
tff(c_34387,plain,
! [Z_316] : ( multiply(sk_c9,multiply(sk_c10,Z_316)) = Z_316 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34364]) ).
tff(c_34405,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_129,c_34387]) ).
tff(c_94,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_164,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_33819,plain,
! [X_305,Y_306,Z_307] : ( multiply(multiply(X_305,Y_306),Z_307) = multiply(X_305,multiply(Y_306,Z_307)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33873,plain,
! [Z_307] : ( multiply(sk_c10,multiply(sk_c1,Z_307)) = multiply(identity,Z_307) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_33819]) ).
tff(c_33949,plain,
! [Z_309] : ( multiply(sk_c10,multiply(sk_c1,Z_309)) = Z_309 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33873]) ).
tff(c_33967,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_164,c_33949]) ).
tff(c_33870,plain,
! [Z_307] : ( multiply(sk_c9,multiply(sk_c10,Z_307)) = multiply(identity,Z_307) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_33819]) ).
tff(c_33889,plain,
! [Z_307] : ( multiply(sk_c9,multiply(sk_c10,Z_307)) = Z_307 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33870]) ).
tff(c_33974,plain,
multiply(sk_c9,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33967,c_33889]) ).
tff(c_50,plain,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_157,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_33893,plain,
! [Z_308] : ( multiply(sk_c9,multiply(sk_c10,Z_308)) = Z_308 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33870]) ).
tff(c_33908,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_157,c_33893]) ).
tff(c_33981,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33974,c_33908]) ).
tff(c_209,plain,
! [X_15,Y_16,Z_17] : ( multiply(multiply(X_15,Y_16),Z_17) = multiply(X_15,multiply(Y_16,Z_17)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_239,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_209]) ).
tff(c_22642,plain,
! [X_192,Z_193] : ( multiply(inverse(X_192),multiply(X_192,Z_193)) = Z_193 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).
tff(c_249,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).
tff(c_22727,plain,
! [X_196,Z_197] : ( multiply(inverse(inverse(X_196)),Z_197) = multiply(X_196,Z_197) ),
inference(superposition,[status(thm),theory(equality)],[c_22642,c_249]) ).
tff(c_22666,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22642]) ).
tff(c_22738,plain,
! [X_196] : ( multiply(X_196,identity) = X_196 ),
inference(superposition,[status(thm),theory(equality)],[c_22727,c_22666]) ).
tff(c_236,plain,
! [Z_17] : ( multiply(sk_c10,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_209]) ).
tff(c_285,plain,
! [Z_19] : ( multiply(sk_c10,multiply(sk_c1,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_236]) ).
tff(c_300,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_164,c_285]) ).
tff(c_233,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c10,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_209]) ).
tff(c_247,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c10,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_233]) ).
tff(c_307,plain,
multiply(sk_c9,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_300,c_247]) ).
tff(c_251,plain,
! [Z_18] : ( multiply(sk_c9,multiply(sk_c10,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_233]) ).
tff(c_263,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_157,c_251]) ).
tff(c_411,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_307,c_263]) ).
tff(c_42,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c9,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_170,plain,
multiply(sk_c9,sk_c8) = sk_c10,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_419,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_411,c_170]) ).
tff(c_421,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_419]) ).
tff(c_429,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_421,c_421,c_300]) ).
tff(c_437,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_429]) ).
tff(c_266,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_129,c_251]) ).
tff(c_465,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_437,c_266]) ).
tff(c_467,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_465]) ).
tff(c_436,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_421,c_125]) ).
tff(c_476,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_467,c_436]) ).
tff(c_497,plain,
! [X_23,Z_24] : ( multiply(inverse(X_23),multiply(X_23,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).
tff(c_581,plain,
! [X_27,Z_28] : ( multiply(inverse(inverse(X_27)),Z_28) = multiply(X_27,Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_497,c_249]) ).
tff(c_521,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_497]) ).
tff(c_592,plain,
! [X_27] : ( multiply(X_27,identity) = X_27 ),
inference(superposition,[status(thm),theory(equality)],[c_581,c_521]) ).
tff(c_626,plain,
! [X_27] : ( multiply(X_27,inverse(X_27)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_581]) ).
tff(c_633,plain,
! [X_29] : ( multiply(X_29,identity) = X_29 ),
inference(superposition,[status(thm),theory(equality)],[c_581,c_521]) ).
tff(c_679,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_521,c_633]) ).
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_859,plain,
! [X_34,Y_35,Z_36] : ( multiply(inverse(multiply(X_34,Y_35)),multiply(X_34,multiply(Y_35,Z_36))) = Z_36 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_497]) ).
tff(c_907,plain,
! [X_34,X_27] : ( multiply(inverse(multiply(X_34,X_27)),multiply(X_34,identity)) = inverse(X_27) ),
inference(superposition,[status(thm),theory(equality)],[c_626,c_859]) ).
tff(c_1233,plain,
! [X_43,X_44] : ( multiply(inverse(multiply(X_43,X_44)),X_43) = inverse(X_44) ),
inference(demodulation,[status(thm),theory(equality)],[c_592,c_907]) ).
tff(c_1597,plain,
! [Z_49,X_50] : ( multiply(inverse(Z_49),inverse(X_50)) = inverse(multiply(X_50,Z_49)) ),
inference(superposition,[status(thm),theory(equality)],[c_249,c_1233]) ).
tff(c_1683,plain,
! [X_50,X_2] : ( inverse(multiply(X_50,inverse(X_2))) = multiply(X_2,inverse(X_50)) ),
inference(superposition,[status(thm),theory(equality)],[c_679,c_1597]) ).
tff(c_427,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_421,c_411]) ).
tff(c_317,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_307,c_263]) ).
tff(c_325,plain,
multiply(sk_c9,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_317,c_170]) ).
tff(c_327,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_325]) ).
tff(c_335,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_327,c_327,c_300]) ).
tff(c_343,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_335]) ).
tff(c_371,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_343,c_266]) ).
tff(c_373,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_371]) ).
tff(c_342,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_327,c_125]) ).
tff(c_382,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_373,c_342]) ).
tff(c_108,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( multiply(sk_c9,sk_c8) != sk_c10 )
| ( inverse(sk_c10) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_315,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_170,c_157,c_108]) ).
tff(c_316,plain,
! [X2_11] :
( ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_315]) ).
tff(c_393,plain,
! [X2_21] :
( ( multiply(X2_21,identity) != identity )
| ( inverse(X2_21) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_327,c_343,c_327,c_316]) ).
tff(c_401,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_393]) ).
tff(c_409,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_382,c_401]) ).
tff(c_410,plain,
! [X1_10,X3_8,X6_7,X4_12] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_315]) ).
tff(c_486,plain,
! [X1_10,X3_8,X6_7,X4_12] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != identity )
| ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != identity )
| ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),identity) != identity )
| ( multiply(X4_12,inverse(X4_12)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_421,c_437,c_421,c_437,c_427,c_437,c_437,c_421,c_421,c_410]) ).
tff(c_487,plain,
! [X6_7,X4_12] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),identity) != identity )
| ( multiply(X4_12,inverse(X4_12)) != identity ) ),
inference(splitLeft,[status(thm)],[c_486]) ).
tff(c_22518,plain,
! [X4_189,X6_190] :
( ( multiply(X4_189,inverse(X6_190)) != inverse(X4_189) )
| ( multiply(X6_190,inverse(X4_189)) != inverse(X6_190) )
| ( inverse(X4_189) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_626,c_592,c_1683,c_487]) ).
tff(c_22584,plain,
! [X6_190] :
( ( inverse(identity) != inverse(X6_190) )
| ( multiply(X6_190,inverse(identity)) != inverse(X6_190) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_22518]) ).
tff(c_22611,plain,
! [X6_191] :
( ( inverse(X6_191) != identity )
| ( inverse(X6_191) != X6_191 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_476,c_592,c_476,c_476,c_22584]) ).
tff(c_22623,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_476,c_22611]) ).
tff(c_22632,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_476,c_22623]) ).
tff(c_22633,plain,
! [X3_8,X1_10] :
( ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != identity )
| ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_486]) ).
tff(c_33699,plain,
! [X3_8,X1_10] :
( ( inverse(X3_8) != identity )
| ( identity != X3_8 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22738,c_22738,c_22633]) ).
tff(c_33701,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_33699]) ).
tff(c_33703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33701,c_476]) ).
tff(c_33705,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_33699]) ).
tff(c_33707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33705,c_476]) ).
tff(c_33709,plain,
multiply(sk_c9,sk_c8) != sk_c10,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_34023,plain,
multiply(sk_c9,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33981,c_33709]) ).
tff(c_34025,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_34023]) ).
tff(c_38,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c9,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_33722,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_33709,c_38]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c7) = sk_c10 )
| ( multiply(sk_c9,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_33785,plain,
multiply(sk_c4,sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_33709,c_36]) ).
tff(c_33876,plain,
! [X_2,Z_307] : ( multiply(inverse(X_2),multiply(X_2,Z_307)) = multiply(identity,Z_307) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33819]) ).
tff(c_34073,plain,
! [X_311,Z_312] : ( multiply(inverse(X_311),multiply(X_311,Z_312)) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33876]) ).
tff(c_34100,plain,
multiply(inverse(sk_c4),sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33785,c_34073]) ).
tff(c_34135,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33722,c_34100]) ).
tff(c_33891,plain,
! [X_2,Z_307] : ( multiply(inverse(X_2),multiply(X_2,Z_307)) = Z_307 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33876]) ).
tff(c_34187,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34135,c_33891]) ).
tff(c_34193,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34187]) ).
tff(c_34195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34025,c_34193]) ).
tff(c_34197,plain,
multiply(sk_c1,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_90,plain,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_34218,plain,
inverse(sk_c2) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34197,c_90]) ).
tff(c_34222,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34218,c_4]) ).
tff(c_34399,plain,
multiply(sk_c9,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_34222,c_34387]) ).
tff(c_34656,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_34405,c_34399]) ).
tff(c_88,plain,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_34308,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34197,c_88]) ).
tff(c_34657,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_34656,c_34308]) ).
tff(c_34367,plain,
! [Z_315] : ( multiply(sk_c10,multiply(sk_c1,Z_315)) = multiply(identity,Z_315) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_34313]) ).
tff(c_34673,plain,
! [Z_321] : ( multiply(sk_c10,multiply(sk_c1,Z_321)) = Z_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34367]) ).
tff(c_34688,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34657,c_34673]) ).
tff(c_34383,plain,
! [Z_315] : ( multiply(sk_c9,multiply(sk_c10,Z_315)) = Z_315 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34364]) ).
tff(c_34695,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34688,c_34383]) ).
tff(c_34701,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_34695]) ).
tff(c_34715,plain,
multiply(identity,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34701,c_142]) ).
tff(c_34784,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_34715,c_2]) ).
tff(c_34705,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_34701,c_34405]) ).
tff(c_34717,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34705]) ).
tff(c_34712,plain,
multiply(sk_c1,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34701,c_34197]) ).
tff(c_35036,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34784,c_2,c_34717,c_34712]) ).
tff(c_35038,plain,
multiply(sk_c10,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_58,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_35654,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_35038,c_58]) ).
tff(c_35070,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_35038,c_58]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c7) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_35143,plain,
multiply(sk_c4,sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_35038,c_56]) ).
tff(c_35161,plain,
! [X_325,Y_326,Z_327] : ( multiply(multiply(X_325,Y_326),Z_327) = multiply(X_325,multiply(Y_326,Z_327)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35218,plain,
! [X_2,Z_327] : ( multiply(inverse(X_2),multiply(X_2,Z_327)) = multiply(identity,Z_327) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35161]) ).
tff(c_35321,plain,
! [X_330,Z_331] : ( multiply(inverse(X_330),multiply(X_330,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35218]) ).
tff(c_35360,plain,
multiply(inverse(sk_c4),sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35143,c_35321]) ).
tff(c_35421,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35070,c_35360]) ).
tff(c_35233,plain,
! [X_2,Z_327] : ( multiply(inverse(X_2),multiply(X_2,Z_327)) = Z_327 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35218]) ).
tff(c_35503,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35421,c_35233]) ).
tff(c_35509,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35503]) ).
tff(c_44,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c9,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_35056,plain,
multiply(sk_c9,sk_c8) = sk_c10,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_54,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_35110,plain,
inverse(sk_c3) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35038,c_54]) ).
tff(c_52,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_35130,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_35038,c_52]) ).
tff(c_35366,plain,
multiply(inverse(sk_c3),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_35130,c_35321]) ).
tff(c_35423,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35056,c_35110,c_35366]) ).
tff(c_35437,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35423,c_35056]) ).
tff(c_35612,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35509,c_2,c_35509,c_35437]) ).
tff(c_35439,plain,
multiply(sk_c10,sk_c8) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35423,c_35038]) ).
tff(c_35626,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35612,c_35509,c_2,c_35509,c_35439]) ).
tff(c_35628,plain,
multiply(sk_c9,sk_c8) != sk_c10,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_35709,plain,
multiply(sk_c4,sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_35628,c_36]) ).
tff(c_35739,plain,
! [X_333,Y_334,Z_335] : ( multiply(multiply(X_333,Y_334),Z_335) = multiply(X_333,multiply(Y_334,Z_335)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35793,plain,
! [X_2,Z_335] : ( multiply(inverse(X_2),multiply(X_2,Z_335)) = multiply(identity,Z_335) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35739]) ).
tff(c_35978,plain,
! [X_339,Z_340] : ( multiply(inverse(X_339),multiply(X_339,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35793]) ).
tff(c_36002,plain,
multiply(inverse(sk_c4),sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35709,c_35978]) ).
tff(c_36033,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35654,c_36002]) ).
tff(c_35808,plain,
! [X_2,Z_335] : ( multiply(inverse(X_2),multiply(X_2,Z_335)) = Z_335 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35793]) ).
tff(c_36060,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36033,c_35808]) ).
tff(c_36066,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36060]) ).
tff(c_35787,plain,
! [Z_335] : ( multiply(sk_c9,multiply(sk_c10,Z_335)) = multiply(identity,Z_335) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_35739]) ).
tff(c_35810,plain,
! [Z_336] : ( multiply(sk_c9,multiply(sk_c10,Z_336)) = Z_336 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35787]) ).
tff(c_35825,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_129,c_35810]) ).
tff(c_35037,plain,
inverse(sk_c2) = sk_c10,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_35042,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35037,c_4]) ).
tff(c_35822,plain,
multiply(sk_c9,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_35042,c_35810]) ).
tff(c_35837,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_35825,c_35822]) ).
tff(c_28,plain,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_35732,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35628,c_28]) ).
tff(c_35846,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_35837,c_35732]) ).
tff(c_35790,plain,
! [Z_335] : ( multiply(sk_c10,multiply(sk_c1,Z_335)) = multiply(identity,Z_335) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_35739]) ).
tff(c_35864,plain,
! [Z_337] : ( multiply(sk_c10,multiply(sk_c1,Z_337)) = Z_337 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35790]) ).
tff(c_35879,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35846,c_35864]) ).
tff(c_35806,plain,
! [Z_335] : ( multiply(sk_c9,multiply(sk_c10,Z_335)) = Z_335 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35787]) ).
tff(c_35899,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_35879,c_35806]) ).
tff(c_35905,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_35899]) ).
tff(c_35946,plain,
multiply(identity,sk_c8) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35905,c_35628]) ).
tff(c_35953,plain,
sk_c8 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35946]) ).
tff(c_36089,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36066,c_35953]) ).
tff(c_34,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_35670,plain,
inverse(sk_c3) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35628,c_34]) ).
tff(c_35945,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35905,c_35670]) ).
tff(c_35974,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35945,c_4]) ).
tff(c_36071,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_35974,c_35808]) ).
tff(c_36083,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36071]) ).
tff(c_35722,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_35038,c_52]) ).
tff(c_35942,plain,
multiply(sk_c3,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35905,c_35722]) ).
tff(c_36386,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36083,c_35942]) ).
tff(c_36387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36089,c_36386]) ).
tff(c_36389,plain,
inverse(sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c7) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_36492,plain,
multiply(sk_c4,sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36389,c_16]) ).
tff(c_18,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_36401,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_36389,c_18]) ).
tff(c_36405,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36401,c_4]) ).
tff(c_36512,plain,
! [X_344,Y_345,Z_346] : ( multiply(multiply(X_344,Y_345),Z_346) = multiply(X_344,multiply(Y_345,Z_346)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36551,plain,
! [Z_346] : ( multiply(sk_c7,multiply(sk_c4,Z_346)) = multiply(identity,Z_346) ),
inference(superposition,[status(thm),theory(equality)],[c_36405,c_36512]) ).
tff(c_36612,plain,
! [Z_349] : ( multiply(sk_c7,multiply(sk_c4,Z_349)) = Z_349 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36551]) ).
tff(c_36624,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36492,c_36612]) ).
tff(c_36560,plain,
! [X_2,Z_346] : ( multiply(inverse(X_2),multiply(X_2,Z_346)) = multiply(identity,Z_346) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36512]) ).
tff(c_36635,plain,
! [X_350,Z_351] : ( multiply(inverse(X_350),multiply(X_350,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36560]) ).
tff(c_36653,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36624,c_36635]) ).
tff(c_36729,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36653]) ).
tff(c_10,plain,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_36426,plain,
inverse(sk_c2) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36389,c_10]) ).
tff(c_36745,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36729,c_36426]) ).
tff(c_36765,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36745,c_4]) ).
tff(c_36574,plain,
! [X_2,Z_346] : ( multiply(inverse(X_2),multiply(X_2,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36560]) ).
tff(c_36772,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_36765,c_36574]) ).
tff(c_36784,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36772]) ).
tff(c_36788,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36784,c_36745]) ).
tff(c_36746,plain,
inverse(identity) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_36729,c_36389]) ).
tff(c_36832,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36788,c_36746]) ).
tff(c_8,plain,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_36461,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36389,c_8]) ).
tff(c_36683,plain,
multiply(inverse(sk_c2),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36461,c_36635]) ).
tff(c_36734,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36426,c_36683]) ).
tff(c_36898,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36729,c_2,c_36729,c_36734]) ).
tff(c_36899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36832,c_36898]) ).
tff(c_36900,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_36901,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_76,plain,
( ( multiply(sk_c4,sk_c7) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_73298,plain,
multiply(sk_c4,sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36901,c_76]) ).
tff(c_73323,plain,
! [X_603,Y_604,Z_605] : ( multiply(multiply(X_603,Y_604),Z_605) = multiply(X_603,multiply(Y_604,Z_605)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_73368,plain,
! [X_2,Z_605] : ( multiply(inverse(X_2),multiply(X_2,Z_605)) = multiply(identity,Z_605) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_73323]) ).
tff(c_73453,plain,
! [X_609,Z_610] : ( multiply(inverse(X_609),multiply(X_609,Z_610)) = Z_610 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_73368]) ).
tff(c_73492,plain,
multiply(inverse(sk_c4),sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_73298,c_73453]) ).
tff(c_73546,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36900,c_73492]) ).
tff(c_73381,plain,
! [X_2,Z_605] : ( multiply(inverse(X_2),multiply(X_2,Z_605)) = Z_605 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_73368]) ).
tff(c_73634,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_73546,c_73381]) ).
tff(c_73640,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_73634]) ).
tff(c_68,plain,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_73258,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36901,c_68]) ).
tff(c_37002,plain,
multiply(sk_c4,sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36901,c_76]) ).
tff(c_36905,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36900,c_4]) ).
tff(c_37037,plain,
! [X_353,Y_354,Z_355] : ( multiply(multiply(X_353,Y_354),Z_355) = multiply(X_353,multiply(Y_354,Z_355)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37082,plain,
! [Z_355] : ( multiply(sk_c7,multiply(sk_c4,Z_355)) = multiply(identity,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_36905,c_37037]) ).
tff(c_37127,plain,
! [Z_357] : ( multiply(sk_c7,multiply(sk_c4,Z_357)) = Z_357 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37082]) ).
tff(c_37139,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37002,c_37127]) ).
tff(c_37085,plain,
! [X_2,Z_355] : ( multiply(inverse(X_2),multiply(X_2,Z_355)) = multiply(identity,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37037]) ).
tff(c_37222,plain,
! [X_361,Z_362] : ( multiply(inverse(X_361),multiply(X_361,Z_362)) = Z_362 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37085]) ).
tff(c_37252,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_37139,c_37222]) ).
tff(c_37330,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37252]) ).
tff(c_36977,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36901,c_68]) ).
tff(c_70,plain,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_36938,plain,
inverse(sk_c2) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36901,c_70]) ).
tff(c_36942,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36938,c_4]) ).
tff(c_37073,plain,
! [Z_355] : ( multiply(sk_c10,multiply(sk_c2,Z_355)) = multiply(identity,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_36942,c_37037]) ).
tff(c_37169,plain,
! [Z_359] : ( multiply(sk_c10,multiply(sk_c2,Z_359)) = Z_359 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37073]) ).
tff(c_37181,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36977,c_37169]) ).
tff(c_37246,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_37181,c_37222]) ).
tff(c_37328,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37246]) ).
tff(c_36913,plain,
inverse(sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_37118,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( multiply(sk_c9,sk_c8) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36913,c_108]) ).
tff(c_37119,plain,
multiply(sk_c9,sk_c8) != sk_c10,
inference(splitLeft,[status(thm)],[c_37118]) ).
tff(c_37345,plain,
multiply(identity,sk_c8) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37328,c_37119]) ).
tff(c_37354,plain,
sk_c8 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37345]) ).
tff(c_37419,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37330,c_37354]) ).
tff(c_74,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_36951,plain,
inverse(sk_c3) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36901,c_74]) ).
tff(c_72,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_36984,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_36901,c_72]) ).
tff(c_37279,plain,
multiply(inverse(sk_c3),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36984,c_37222]) ).
tff(c_37335,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_36951,c_37279]) ).
tff(c_37492,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37328,c_2,c_37328,c_37335]) ).
tff(c_37493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37419,c_37492]) ).
tff(c_37495,plain,
multiply(sk_c9,sk_c8) = sk_c10,
inference(splitRight,[status(thm)],[c_37118]) ).
tff(c_36955,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36951,c_4]) ).
tff(c_37070,plain,
! [Z_355] : ( multiply(sk_c9,multiply(sk_c3,Z_355)) = multiply(identity,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_36955,c_37037]) ).
tff(c_37567,plain,
! [Z_367] : ( multiply(sk_c9,multiply(sk_c3,Z_367)) = Z_367 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37070]) ).
tff(c_37579,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36984,c_37567]) ).
tff(c_37583,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37495,c_37579]) ).
tff(c_37526,plain,
! [Z_366] : ( multiply(sk_c10,multiply(sk_c2,Z_366)) = Z_366 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37073]) ).
tff(c_37544,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36977,c_37526]) ).
tff(c_37587,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37583,c_37544]) ).
tff(c_37660,plain,
! [X_369,Z_370] : ( multiply(inverse(X_369),multiply(X_369,Z_370)) = Z_370 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37085]) ).
tff(c_37684,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_37587,c_37660]) ).
tff(c_37747,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37684]) ).
tff(c_37588,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37583,c_37495]) ).
tff(c_37928,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37747,c_2,c_37747,c_37588]) ).
tff(c_37494,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_37118]) ).
tff(c_37566,plain,
multiply(sk_c10,sk_c8) != sk_c9,
inference(splitLeft,[status(thm)],[c_37494]) ).
tff(c_37585,plain,
multiply(sk_c10,sk_c8) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37583,c_37566]) ).
tff(c_38006,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37928,c_37747,c_2,c_37747,c_37585]) ).
tff(c_38008,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_37494]) ).
tff(c_37064,plain,
! [Z_355] : ( multiply(sk_c2,multiply(sk_c10,Z_355)) = multiply(sk_c9,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_36977,c_37037]) ).
tff(c_38012,plain,
multiply(sk_c9,sk_c8) = multiply(sk_c2,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_38008,c_37064]) ).
tff(c_38018,plain,
multiply(sk_c2,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37495,c_38012]) ).
tff(c_36925,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36913,c_4]) ).
tff(c_37095,plain,
! [Z_355] : ( multiply(sk_c10,multiply(sk_c2,Z_355)) = Z_355 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37073]) ).
tff(c_38023,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_38018,c_37095]) ).
tff(c_38049,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c2,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_38023,c_37064]) ).
tff(c_38055,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38018,c_36925,c_38049]) ).
tff(c_38057,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_38055,c_38055,c_38023]) ).
tff(c_38073,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38057]) ).
tff(c_38071,plain,
inverse(identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_38055,c_36913]) ).
tff(c_38719,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38073,c_38071]) ).
tff(c_37099,plain,
! [X_2,Z_355] : ( multiply(inverse(X_2),multiply(X_2,Z_355)) = Z_355 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37085]) ).
tff(c_38656,plain,
! [X_383,Z_384] : ( multiply(inverse(X_383),multiply(X_383,Z_384)) = Z_384 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37085]) ).
tff(c_39095,plain,
! [X_388,Z_389] : ( multiply(inverse(inverse(X_388)),Z_389) = multiply(X_388,Z_389) ),
inference(superposition,[status(thm),theory(equality)],[c_37099,c_38656]) ).
tff(c_38707,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38656]) ).
tff(c_39102,plain,
! [X_388] : ( multiply(X_388,identity) = X_388 ),
inference(superposition,[status(thm),theory(equality)],[c_39095,c_38707]) ).
tff(c_39116,plain,
! [X_388] : ( multiply(X_388,inverse(X_388)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_39095,c_4]) ).
tff(c_39138,plain,
! [X_390] : ( multiply(X_390,identity) = X_390 ),
inference(superposition,[status(thm),theory(equality)],[c_39095,c_38707]) ).
tff(c_38668,plain,
! [X_2,Z_355] : ( multiply(inverse(inverse(X_2)),Z_355) = multiply(X_2,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_37099,c_38656]) ).
tff(c_39145,plain,
! [X_2] : ( inverse(inverse(X_2)) = multiply(X_2,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_39138,c_38668]) ).
tff(c_39190,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_39102,c_39145]) ).
tff(c_39368,plain,
! [X_395,Y_396,Z_397] : ( multiply(inverse(multiply(X_395,Y_396)),multiply(X_395,multiply(Y_396,Z_397))) = Z_397 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_38656]) ).
tff(c_39416,plain,
! [X_395,X_388] : ( multiply(inverse(multiply(X_395,X_388)),multiply(X_395,identity)) = inverse(X_388) ),
inference(superposition,[status(thm),theory(equality)],[c_39116,c_39368]) ).
tff(c_39871,plain,
! [X_406,X_407] : ( multiply(inverse(multiply(X_406,X_407)),X_406) = inverse(X_407) ),
inference(demodulation,[status(thm),theory(equality)],[c_39102,c_39416]) ).
tff(c_40495,plain,
! [Z_416,X_417] : ( multiply(inverse(Z_416),inverse(X_417)) = inverse(multiply(X_417,Z_416)) ),
inference(superposition,[status(thm),theory(equality)],[c_37099,c_39871]) ).
tff(c_40579,plain,
! [X_417,X_2] : ( inverse(multiply(X_417,inverse(X_2))) = multiply(X_2,inverse(X_417)) ),
inference(superposition,[status(thm),theory(equality)],[c_39190,c_40495]) ).
tff(c_38175,plain,
! [X_373,Z_374] : ( multiply(inverse(X_373),multiply(X_373,Z_374)) = Z_374 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37085]) ).
tff(c_38389,plain,
! [X_376,Z_377] : ( multiply(inverse(inverse(X_376)),Z_377) = multiply(X_376,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_37099,c_38175]) ).
tff(c_38238,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38175]) ).
tff(c_38396,plain,
! [X_376] : ( multiply(X_376,identity) = X_376 ),
inference(superposition,[status(thm),theory(equality)],[c_38389,c_38238]) ).
tff(c_38060,plain,
multiply(identity,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_38055,c_38008]) ).
tff(c_38075,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38060]) ).
tff(c_38090,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38073,c_38075]) ).
tff(c_38007,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_37494]) ).
tff(c_38102,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),identity) != identity )
| ( multiply(X4_12,inverse(X4_12)) != identity )
| ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != identity )
| ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38055,c_38073,c_38055,c_38073,c_38055,c_38055,c_38090,c_38073,c_38073,c_38055,c_38073,c_38055,c_38007]) ).
tff(c_38103,plain,
! [X2_11] :
( ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(splitLeft,[status(thm)],[c_38102]) ).
tff(c_38652,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_38396,c_38103]) ).
tff(c_38111,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38073,c_38071]) ).
tff(c_38654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38652,c_38111]) ).
tff(c_38655,plain,
! [X1_10,X3_8,X6_7,X4_12] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != identity )
| ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != identity )
| ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),identity) != identity )
| ( multiply(X4_12,inverse(X4_12)) != identity ) ),
inference(splitRight,[status(thm)],[c_38102]) ).
tff(c_60559,plain,
! [X1_10,X3_8,X4_12,X6_7] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 )
| ( multiply(X4_12,inverse(X6_7)) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( inverse(X4_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39116,c_39102,c_40579,c_39102,c_39102,c_38655]) ).
tff(c_72317,plain,
! [X4_596,X6_597] :
( ( multiply(X4_596,inverse(X6_597)) != inverse(X4_596) )
| ( multiply(X6_597,inverse(X4_596)) != inverse(X6_597) )
| ( inverse(X4_596) != identity ) ),
inference(splitLeft,[status(thm)],[c_60559]) ).
tff(c_72387,plain,
! [X6_597] :
( ( inverse(identity) != inverse(X6_597) )
| ( multiply(X6_597,inverse(identity)) != inverse(X6_597) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_72317]) ).
tff(c_72417,plain,
! [X6_598] :
( ( inverse(X6_598) != identity )
| ( inverse(X6_598) != X6_598 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38719,c_39102,c_38719,c_38719,c_72387]) ).
tff(c_72429,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_38719,c_72417]) ).
tff(c_72438,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38719,c_72429]) ).
tff(c_72439,plain,
! [X1_10,X3_8] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(splitRight,[status(thm)],[c_60559]) ).
tff(c_73192,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_72439]) ).
tff(c_73194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73192,c_38719]) ).
tff(c_73196,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_72439]) ).
tff(c_73198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73196,c_38719]) ).
tff(c_73200,plain,
inverse(sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_73244,plain,
inverse(sk_c2) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_73200,c_10]) ).
tff(c_73248,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_73244,c_4]) ).
tff(c_73353,plain,
! [Z_605] : ( multiply(sk_c10,multiply(sk_c2,Z_605)) = multiply(identity,Z_605) ),
inference(superposition,[status(thm),theory(equality)],[c_73248,c_73323]) ).
tff(c_73383,plain,
! [Z_606] : ( multiply(sk_c10,multiply(sk_c2,Z_606)) = Z_606 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_73353]) ).
tff(c_73395,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_73258,c_73383]) ).
tff(c_73483,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_73395,c_73453]) ).
tff(c_73545,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_73483]) ).
tff(c_73565,plain,
inverse(sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_73545,c_73200]) ).
tff(c_73643,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_73640,c_73565]) ).
tff(c_73647,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_73640,c_73244]) ).
tff(c_73696,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_73647,c_4]) ).
tff(c_73723,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_73696,c_73381]) ).
tff(c_73735,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_73723]) ).
tff(c_73739,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_73735,c_73647]) ).
tff(c_73766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73643,c_73739]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP386-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 22:11:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 19.77/8.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.77/8.55
% 19.77/8.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.27/8.62
% 20.27/8.62 Inference rules
% 20.27/8.62 ----------------------
% 20.27/8.62 #Ref : 0
% 20.27/8.62 #Sup : 17894
% 20.27/8.62 #Fact : 0
% 20.27/8.62 #Define : 0
% 20.27/8.62 #Split : 20
% 20.27/8.62 #Chain : 0
% 20.27/8.62 #Close : 0
% 20.27/8.62
% 20.27/8.62 Ordering : KBO
% 20.27/8.62
% 20.27/8.62 Simplification rules
% 20.27/8.62 ----------------------
% 20.27/8.62 #Subsume : 5
% 20.27/8.62 #Demod : 59761
% 20.27/8.62 #Tautology : 14435
% 20.27/8.62 #SimpNegUnit : 92
% 20.27/8.62 #BackRed : 414
% 20.27/8.62
% 20.27/8.62 #Partial instantiations: 0
% 20.27/8.62 #Strategies tried : 1
% 20.27/8.62
% 20.27/8.62 Timing (in seconds)
% 20.27/8.62 ----------------------
% 20.27/8.62 Preprocessing : 0.55
% 20.27/8.62 Parsing : 0.20
% 20.27/8.62 CNF conversion : 0.03
% 20.27/8.62 Main loop : 6.92
% 20.27/8.62 Inferencing : 1.75
% 20.27/8.62 Reduction : 4.16
% 20.27/8.62 Demodulation : 3.86
% 20.27/8.62 BG Simplification : 0.16
% 20.27/8.62 Subsumption : 0.61
% 20.27/8.62 Abstraction : 0.43
% 20.27/8.62 MUC search : 0.00
% 20.27/8.62 Cooper : 0.00
% 20.27/8.62 Total : 7.61
% 20.27/8.62 Index Insertion : 0.00
% 20.27/8.62 Index Deletion : 0.00
% 20.27/8.62 Index Matching : 0.00
% 20.27/8.62 BG Taut test : 0.00
%------------------------------------------------------------------------------