TSTP Solution File: GRP260-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP260-1 : 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 : n006.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 10:40:41 EDT 2023
% Result : Unsatisfiable 18.20s 7.12s
% Output : CNFRefutation 18.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 58
% Syntax : Number of formulae : 596 ( 448 unt; 14 typ; 0 def)
% Number of atoms : 862 ( 834 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 573 ( 293 ~; 280 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 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 : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 332 (; 332 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c11 > 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_c11,type,
sk_c11: $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_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( multiply(sk_c9,sk_c11) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_257,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( multiply(X3,sk_c11) != sk_c10 )
| ( inverse(X3) != sk_c11 )
| ( multiply(X4,sk_c10) != sk_c9 )
| ( inverse(X4) != sk_c10 )
| ( multiply(sk_c9,sk_c11) != sk_c10 )
| ( multiply(X1,sk_c11) != sk_c10 )
| ( inverse(X1) != sk_c11 )
| ( multiply(X2,sk_c10) != sk_c9 )
| ( inverse(X2) != sk_c10 )
| ( multiply(X5,X6) != sk_c11 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c10) != sk_c11 )
| ( inverse(X7) != X8 )
| ( inverse(X8) != X6 )
| ( multiply(X7,X6) != X8 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( multiply(sk_c9,sk_c11) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( multiply(sk_c9,sk_c11) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ( multiply(sk_c9,sk_c11) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( multiply(sk_c9,sk_c11) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c9,sk_c11) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( multiply(sk_c9,sk_c11) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
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_57303,plain,
! [X_513,Y_514,Z_515] : ( multiply(multiply(X_513,Y_514),Z_515) = multiply(X_513,multiply(Y_514,Z_515)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_57351,plain,
! [X_2,Z_515] : ( multiply(inverse(X_2),multiply(X_2,Z_515)) = multiply(identity,Z_515) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_57303]) ).
tff(c_57365,plain,
! [X_2,Z_515] : ( multiply(inverse(X_2),multiply(X_2,Z_515)) = Z_515 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57351]) ).
tff(c_60418,plain,
! [X_570,Z_571] : ( multiply(inverse(X_570),multiply(X_570,Z_571)) = Z_571 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57351]) ).
tff(c_60817,plain,
! [X_575,Z_576] : ( multiply(inverse(inverse(X_575)),Z_576) = multiply(X_575,Z_576) ),
inference(superposition,[status(thm),theory(equality)],[c_57365,c_60418]) ).
tff(c_60511,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_60418]) ).
tff(c_60824,plain,
! [X_575] : ( multiply(X_575,identity) = X_575 ),
inference(superposition,[status(thm),theory(equality)],[c_60817,c_60511]) ).
tff(c_209,plain,
! [X_16,Y_17,Z_18] : ( multiply(multiply(X_16,Y_17),Z_18) = multiply(X_16,multiply(Y_17,Z_18)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_239,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_209]) ).
tff(c_297,plain,
! [X_21,Z_22] : ( multiply(inverse(X_21),multiply(X_21,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).
tff(c_249,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).
tff(c_29127,plain,
! [X_221,Z_222] : ( multiply(inverse(inverse(X_221)),Z_222) = multiply(X_221,Z_222) ),
inference(superposition,[status(thm),theory(equality)],[c_297,c_249]) ).
tff(c_351,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_297]) ).
tff(c_29138,plain,
! [X_221] : ( multiply(X_221,identity) = X_221 ),
inference(superposition,[status(thm),theory(equality)],[c_29127,c_351]) ).
tff(c_22,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_163,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_42,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_137,plain,
inverse(sk_c1) = sk_c11,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_141,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_137,c_4]) ).
tff(c_233,plain,
! [Z_18] : ( multiply(sk_c11,multiply(sk_c1,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_209]) ).
tff(c_251,plain,
! [Z_19] : ( multiply(sk_c11,multiply(sk_c1,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_233]) ).
tff(c_263,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_163,c_251]) ).
tff(c_321,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_263,c_297]) ).
tff(c_359,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_321]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_157,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_125,plain,
inverse(sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_129,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_125,c_4]) ).
tff(c_236,plain,
! [Z_18] : ( multiply(sk_c10,multiply(sk_c2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_209]) ).
tff(c_274,plain,
! [Z_20] : ( multiply(sk_c10,multiply(sk_c2,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_236]) ).
tff(c_286,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_157,c_274]) ).
tff(c_315,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_286,c_297]) ).
tff(c_358,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_315]) ).
tff(c_102,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c9,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_171,plain,
multiply(sk_c9,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_470,plain,
multiply(identity,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_171]) ).
tff(c_28986,plain,
multiply(identity,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_470]) ).
tff(c_28990,plain,
multiply(inverse(identity),identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_28986,c_249]) ).
tff(c_29002,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28990]) ).
tff(c_479,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_129]) ).
tff(c_577,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_479,c_249]) ).
tff(c_589,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_577]) ).
tff(c_480,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_125]) ).
tff(c_594,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_589,c_480]) ).
tff(c_759,plain,
! [X_27,Z_28] : ( multiply(inverse(inverse(X_27)),Z_28) = multiply(X_27,Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_297,c_249]) ).
tff(c_770,plain,
! [X_27] : ( multiply(X_27,identity) = X_27 ),
inference(superposition,[status(thm),theory(equality)],[c_759,c_351]) ).
tff(c_784,plain,
! [X_27] : ( multiply(X_27,inverse(X_27)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_759,c_4]) ).
tff(c_617,plain,
multiply(identity,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_470]) ).
tff(c_621,plain,
multiply(inverse(identity),identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_617,c_249]) ).
tff(c_633,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_621]) ).
tff(c_811,plain,
! [X_29] : ( multiply(X_29,identity) = X_29 ),
inference(superposition,[status(thm),theory(equality)],[c_759,c_351]) ).
tff(c_825,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_811,c_351]) ).
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_1043,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_297]) ).
tff(c_1091,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_784,c_1043]) ).
tff(c_1546,plain,
! [X_45,X_46] : ( multiply(inverse(multiply(X_45,X_46)),X_45) = inverse(X_46) ),
inference(demodulation,[status(thm),theory(equality)],[c_770,c_1091]) ).
tff(c_2101,plain,
! [Z_54,X_55] : ( multiply(inverse(Z_54),inverse(X_55)) = inverse(multiply(X_55,Z_54)) ),
inference(superposition,[status(thm),theory(equality)],[c_249,c_1546]) ).
tff(c_2193,plain,
! [X_55,X_2] : ( inverse(multiply(X_55,inverse(X_2))) = multiply(X_2,inverse(X_55)) ),
inference(superposition,[status(thm),theory(equality)],[c_825,c_2101]) ).
tff(c_376,plain,
multiply(sk_c1,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_163]) ).
tff(c_108,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(sk_c9,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_365,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171,c_108]) ).
tff(c_366,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_365]) ).
tff(c_433,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_359,c_366]) ).
tff(c_452,plain,
inverse(sk_c1) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_376,c_433]) ).
tff(c_467,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137,c_452]) ).
tff(c_468,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_365]) ).
tff(c_572,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(X4_13) != identity )
| ( multiply(X4_13,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),identity) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_359,c_359,c_358,c_359,c_359,c_359,c_358,c_359,c_468]) ).
tff(c_573,plain,
! [X7_9,X5_6] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),identity) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_572]) ).
tff(c_28824,plain,
! [X5_216,X7_217] :
( ( multiply(X5_216,inverse(X7_217)) != inverse(X5_216) )
| ( multiply(X7_217,inverse(X5_216)) != inverse(X7_217) )
| ( inverse(X5_216) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_784,c_633,c_770,c_633,c_2193,c_573]) ).
tff(c_28892,plain,
! [X7_217] :
( ( inverse(identity) != inverse(X7_217) )
| ( multiply(X7_217,inverse(identity)) != inverse(X7_217) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_28824]) ).
tff(c_28920,plain,
! [X7_218] :
( ( inverse(X7_218) != identity )
| ( inverse(X7_218) != X7_218 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_594,c_770,c_594,c_594,c_28892]) ).
tff(c_28932,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_594,c_28920]) ).
tff(c_28941,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_594,c_28932]) ).
tff(c_28942,plain,
! [X2_11,X1_10,X4_13] :
( ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X4_13) != identity )
| ( multiply(X4_13,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_572]) ).
tff(c_50498,plain,
! [X2_11,X1_10,X4_13] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X4_13) != identity )
| ( identity != X4_13 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29138,c_29138,c_29002,c_29002,c_29138,c_28942]) ).
tff(c_50500,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_50498]) ).
tff(c_354,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_297]) ).
tff(c_28946,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_479,c_249]) ).
tff(c_28958,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_354,c_28946]) ).
tff(c_28963,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28958,c_480]) ).
tff(c_50502,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50500,c_28963]) ).
tff(c_50503,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_50498]) ).
tff(c_50505,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_50503]) ).
tff(c_50507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50505,c_28963]) ).
tff(c_51260,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_50503]) ).
tff(c_51262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51260,c_28963]) ).
tff(c_51264,plain,
multiply(sk_c9,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_96,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c9,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_51356,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_51264,c_96]) ).
tff(c_98,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c9,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_51307,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_51264,c_98]) ).
tff(c_51311,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_51307,c_4]) ).
tff(c_51373,plain,
! [X_385,Y_386,Z_387] : ( multiply(multiply(X_385,Y_386),Z_387) = multiply(X_385,multiply(Y_386,Z_387)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_51406,plain,
! [Z_387] : ( multiply(sk_c8,multiply(sk_c5,Z_387)) = multiply(identity,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_51311,c_51373]) ).
tff(c_51493,plain,
! [Z_390] : ( multiply(sk_c8,multiply(sk_c5,Z_390)) = Z_390 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51406]) ).
tff(c_51505,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_51356,c_51493]) ).
tff(c_51430,plain,
! [X_2,Z_387] : ( multiply(inverse(X_2),multiply(X_2,Z_387)) = multiply(identity,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51373]) ).
tff(c_51604,plain,
! [X_394,Z_395] : ( multiply(inverse(X_394),multiply(X_394,Z_395)) = Z_395 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51430]) ).
tff(c_51640,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_51505,c_51604]) ).
tff(c_51734,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51640]) ).
tff(c_51424,plain,
! [Z_387] : ( multiply(sk_c11,multiply(sk_c1,Z_387)) = multiply(identity,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_51373]) ).
tff(c_51447,plain,
! [Z_388] : ( multiply(sk_c11,multiply(sk_c1,Z_388)) = Z_388 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51424]) ).
tff(c_51459,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_163,c_51447]) ).
tff(c_51652,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_51459,c_51604]) ).
tff(c_51736,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51652]) ).
tff(c_51427,plain,
! [Z_387] : ( multiply(sk_c10,multiply(sk_c2,Z_387)) = multiply(identity,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_51373]) ).
tff(c_51470,plain,
! [Z_389] : ( multiply(sk_c10,multiply(sk_c2,Z_389)) = Z_389 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51427]) ).
tff(c_51482,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_157,c_51470]) ).
tff(c_51646,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_51482,c_51604]) ).
tff(c_51735,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51646]) ).
tff(c_51751,plain,
multiply(identity,sk_c11) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_51735,c_51264]) ).
tff(c_51753,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51751]) ).
tff(c_51828,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_51734,c_51736,c_51753]) ).
tff(c_51830,plain,
multiply(sk_c1,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_51948,plain,
! [X_397,Y_398,Z_399] : ( multiply(multiply(X_397,Y_398),Z_399) = multiply(X_397,multiply(Y_398,Z_399)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_52005,plain,
! [X_2,Z_399] : ( multiply(inverse(X_2),multiply(X_2,Z_399)) = multiply(identity,Z_399) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51948]) ).
tff(c_52020,plain,
! [X_2,Z_399] : ( multiply(inverse(X_2),multiply(X_2,Z_399)) = Z_399 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52005]) ).
tff(c_104,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c9,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_51846,plain,
multiply(sk_c9,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_104]) ).
tff(c_52166,plain,
! [Z_407] : ( multiply(sk_c9,multiply(sk_c11,Z_407)) = multiply(sk_c10,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_51846,c_51948]) ).
tff(c_52184,plain,
multiply(sk_c9,identity) = multiply(sk_c10,sk_c1),
inference(superposition,[status(thm),theory(equality)],[c_141,c_52166]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_51899,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_51830,c_10]) ).
tff(c_51903,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_51899,c_4]) ).
tff(c_52181,plain,
multiply(sk_c9,identity) = multiply(sk_c10,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_51903,c_52166]) ).
tff(c_52422,plain,
multiply(sk_c10,sk_c3) = multiply(sk_c10,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_52184,c_52181]) ).
tff(c_52516,plain,
! [X_416,Z_417] : ( multiply(inverse(X_416),multiply(X_416,Z_417)) = Z_417 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52005]) ).
tff(c_52549,plain,
multiply(inverse(sk_c10),multiply(sk_c10,sk_c1)) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_52422,c_52516]) ).
tff(c_52689,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_52020,c_52549]) ).
tff(c_8,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_51928,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_51830,c_8]) ).
tff(c_52714,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_52689,c_51928]) ).
tff(c_52719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51830,c_52714]) ).
tff(c_52721,plain,
multiply(sk_c9,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_88,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c9,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_52805,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_52721,c_88]) ).
tff(c_90,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c9,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_52736,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_52721,c_90]) ).
tff(c_52740,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52736,c_4]) ).
tff(c_52828,plain,
! [X_418,Y_419,Z_420] : ( multiply(multiply(X_418,Y_419),Z_420) = multiply(X_418,multiply(Y_419,Z_420)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_52864,plain,
! [Z_420] : ( multiply(sk_c11,multiply(sk_c3,Z_420)) = multiply(identity,Z_420) ),
inference(superposition,[status(thm),theory(equality)],[c_52740,c_52828]) ).
tff(c_52935,plain,
! [Z_423] : ( multiply(sk_c11,multiply(sk_c3,Z_423)) = Z_423 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52864]) ).
tff(c_52947,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_52805,c_52935]) ).
tff(c_52882,plain,
! [X_2,Z_420] : ( multiply(inverse(X_2),multiply(X_2,Z_420)) = multiply(identity,Z_420) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_52828]) ).
tff(c_53001,plain,
! [X_426,Z_427] : ( multiply(inverse(X_426),multiply(X_426,Z_427)) = Z_427 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52882]) ).
tff(c_53028,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_52947,c_53001]) ).
tff(c_53114,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53028]) ).
tff(c_52879,plain,
! [Z_420] : ( multiply(sk_c10,multiply(sk_c2,Z_420)) = multiply(identity,Z_420) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_52828]) ).
tff(c_52912,plain,
! [Z_422] : ( multiply(sk_c10,multiply(sk_c2,Z_422)) = Z_422 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52879]) ).
tff(c_52924,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_157,c_52912]) ).
tff(c_53034,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_52924,c_53001]) ).
tff(c_53115,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53034]) ).
tff(c_53129,plain,
multiply(identity,sk_c11) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_53115,c_52721]) ).
tff(c_53131,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53129]) ).
tff(c_53149,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_53114,c_53131]) ).
tff(c_52768,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_52721,c_98]) ).
tff(c_52816,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_52721,c_96]) ).
tff(c_53046,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52816,c_53001]) ).
tff(c_53116,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_52768,c_53046]) ).
tff(c_52897,plain,
! [X_2,Z_420] : ( multiply(inverse(X_2),multiply(X_2,Z_420)) = Z_420 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52882]) ).
tff(c_53223,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_53116,c_52897]) ).
tff(c_53229,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53223]) ).
tff(c_53231,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53149,c_53229]) ).
tff(c_53233,plain,
multiply(sk_c2,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_56817,plain,
! [X_502,Y_503,Z_504] : ( multiply(multiply(X_502,Y_503),Z_504) = multiply(X_502,multiply(Y_503,Z_504)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_56868,plain,
! [X_2,Z_504] : ( multiply(inverse(X_2),multiply(X_2,Z_504)) = multiply(identity,Z_504) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_56817]) ).
tff(c_56883,plain,
! [X_2,Z_504] : ( multiply(inverse(X_2),multiply(X_2,Z_504)) = Z_504 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56868]) ).
tff(c_20,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_56327,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_56371,plain,
! [X_491,Y_492,Z_493] : ( multiply(multiply(X_491,Y_492),Z_493) = multiply(X_491,multiply(Y_492,Z_493)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_56419,plain,
! [Z_493] : ( multiply(sk_c11,multiply(sk_c1,Z_493)) = multiply(identity,Z_493) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_56371]) ).
tff(c_56442,plain,
! [Z_494] : ( multiply(sk_c11,multiply(sk_c1,Z_494)) = Z_494 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56419]) ).
tff(c_56454,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_56327,c_56442]) ).
tff(c_56425,plain,
! [X_2,Z_493] : ( multiply(inverse(X_2),multiply(X_2,Z_493)) = multiply(identity,Z_493) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_56371]) ).
tff(c_56534,plain,
! [X_499,Z_500] : ( multiply(inverse(X_499),multiply(X_499,Z_500)) = Z_500 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56425]) ).
tff(c_56567,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_56454,c_56534]) ).
tff(c_56645,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_56567]) ).
tff(c_53232,plain,
inverse(sk_c3) = sk_c11,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_48,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_53334,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_53233,c_48]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_53274,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_53233,c_54]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_53317,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_53233,c_52]) ).
tff(c_62,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_53299,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_53233,c_62]) ).
tff(c_53303,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53299,c_4]) ).
tff(c_64,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_53287,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_53233,c_64]) ).
tff(c_53291,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53287,c_4]) ).
tff(c_53356,plain,
! [X_429,Y_430,Z_431] : ( multiply(multiply(X_429,Y_430),Z_431) = multiply(X_429,multiply(Y_430,Z_431)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_53392,plain,
! [Z_431] : ( multiply(sk_c8,multiply(sk_c6,Z_431)) = multiply(identity,Z_431) ),
inference(superposition,[status(thm),theory(equality)],[c_53291,c_53356]) ).
tff(c_53637,plain,
! [Z_441] : ( multiply(sk_c8,multiply(sk_c6,Z_441)) = Z_441 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53392]) ).
tff(c_53649,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_53303,c_53637]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_53329,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_53233,c_56]) ).
tff(c_58,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_53261,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_53233,c_58]) ).
tff(c_53265,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53261,c_4]) ).
tff(c_53398,plain,
! [Z_431] : ( multiply(sk_c8,multiply(sk_c5,Z_431)) = multiply(identity,Z_431) ),
inference(superposition,[status(thm),theory(equality)],[c_53265,c_53356]) ).
tff(c_53697,plain,
! [Z_443] : ( multiply(sk_c8,multiply(sk_c5,Z_443)) = Z_443 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53398]) ).
tff(c_53709,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_53329,c_53697]) ).
tff(c_53413,plain,
! [X_2,Z_431] : ( multiply(inverse(X_2),multiply(X_2,Z_431)) = multiply(identity,Z_431) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53356]) ).
tff(c_54039,plain,
! [X_451,Z_452] : ( multiply(inverse(X_451),multiply(X_451,Z_452)) = Z_452 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53413]) ).
tff(c_54102,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_53709,c_54039]) ).
tff(c_54214,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54102]) ).
tff(c_54246,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_54214,c_53709]) ).
tff(c_54261,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53649,c_54246]) ).
tff(c_53324,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_53407,plain,
! [Z_431] : ( multiply(sk_c11,multiply(sk_c1,Z_431)) = multiply(identity,Z_431) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_53356]) ).
tff(c_53430,plain,
! [Z_432] : ( multiply(sk_c11,multiply(sk_c1,Z_432)) = Z_432 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53407]) ).
tff(c_53442,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_53324,c_53430]) ).
tff(c_54126,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_53442,c_54039]) ).
tff(c_54216,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54126]) ).
tff(c_60,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_53342,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_53233,c_60]) ).
tff(c_53374,plain,
! [Z_431] : ( multiply(sk_c8,multiply(sk_c10,Z_431)) = multiply(sk_c11,Z_431) ),
inference(superposition,[status(thm),theory(equality)],[c_53342,c_53356]) ).
tff(c_54360,plain,
! [Z_454] : ( multiply(sk_c7,Z_454) = Z_454 ),
inference(demodulation,[status(thm),theory(equality)],[c_54261,c_2,c_54216,c_2,c_54214,c_53374]) ).
tff(c_53389,plain,
! [Z_431] : ( multiply(sk_c6,multiply(sk_c7,Z_431)) = multiply(identity,Z_431) ),
inference(superposition,[status(thm),theory(equality)],[c_53303,c_53356]) ).
tff(c_53729,plain,
! [Z_444] : ( multiply(sk_c6,multiply(sk_c7,Z_444)) = Z_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53389]) ).
tff(c_53422,plain,
! [Z_431] : ( multiply(sk_c8,multiply(sk_c6,Z_431)) = Z_431 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53392]) ).
tff(c_53893,plain,
! [Z_449] : ( multiply(sk_c8,Z_449) = multiply(sk_c7,Z_449) ),
inference(superposition,[status(thm),theory(equality)],[c_53729,c_53422]) ).
tff(c_53953,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53265,c_53893]) ).
tff(c_54369,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_54360,c_53953]) ).
tff(c_54357,plain,
! [Z_431] : ( multiply(sk_c7,Z_431) = Z_431 ),
inference(demodulation,[status(thm),theory(equality)],[c_54261,c_2,c_54216,c_2,c_54214,c_53374]) ).
tff(c_53941,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_53649,c_53893]) ).
tff(c_54358,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54357,c_53941]) ).
tff(c_54328,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_54261,c_53261]) ).
tff(c_54441,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54369,c_54358,c_54328]) ).
tff(c_54384,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54358,c_54261]) ).
tff(c_53251,plain,
multiply(sk_c9,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_53454,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53251,c_108]) ).
tff(c_53577,plain,
! [X3_438] :
( ( inverse(X3_438) != sk_c11 )
| ( multiply(X3_438,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_53454]) ).
tff(c_53587,plain,
inverse(sk_c3) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_53334,c_53577]) ).
tff(c_53605,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53232,c_53587]) ).
tff(c_53606,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_53454]) ).
tff(c_53846,plain,
! [X7_447,X5_448] :
( ( inverse(multiply(X7_447,inverse(X5_448))) != inverse(X5_448) )
| ( multiply(X7_447,inverse(X5_448)) != inverse(X7_447) )
| ( multiply(inverse(X5_448),sk_c10) != sk_c11 )
| ( multiply(X5_448,inverse(X5_448)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_53606]) ).
tff(c_53857,plain,
! [X7_447] :
( ( inverse(multiply(X7_447,sk_c8)) != inverse(sk_c5) )
| ( multiply(X7_447,inverse(sk_c5)) != inverse(X7_447) )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_53261,c_53846]) ).
tff(c_53876,plain,
! [X7_447] :
( ( inverse(multiply(X7_447,sk_c8)) != sk_c8 )
| ( multiply(X7_447,sk_c8) != inverse(X7_447) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53329,c_53261,c_53342,c_53261,c_53261,c_53261,c_53857]) ).
tff(c_54557,plain,
! [X7_455] :
( ( inverse(multiply(X7_455,identity)) != identity )
| ( multiply(X7_455,identity) != inverse(X7_455) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54384,c_54384,c_54384,c_53876]) ).
tff(c_54565,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_54557]) ).
tff(c_54573,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54441,c_54441,c_4,c_54441,c_54565]) ).
tff(c_54574,plain,
! [X2_11,X1_10,X4_13] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_53606]) ).
tff(c_54844,plain,
! [X4_461] :
( ( inverse(X4_461) != sk_c10 )
| ( multiply(X4_461,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_54574]) ).
tff(c_54864,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_53317,c_54844]) ).
tff(c_54876,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53274,c_54864]) ).
tff(c_54877,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_54574]) ).
tff(c_55138,plain,
! [X2_465] :
( ( inverse(X2_465) != sk_c10 )
| ( multiply(X2_465,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_54877]) ).
tff(c_55154,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_53317,c_55138]) ).
tff(c_55167,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53274,c_55154]) ).
tff(c_55277,plain,
! [X1_467] :
( ( inverse(X1_467) != sk_c11 )
| ( multiply(X1_467,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_54877]) ).
tff(c_55284,plain,
inverse(sk_c3) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_53334,c_55277]) ).
tff(c_55302,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53232,c_55284]) ).
tff(c_55304,plain,
multiply(sk_c1,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_55336,plain,
! [X_468,Y_469,Z_470] : ( multiply(multiply(X_468,Y_469),Z_470) = multiply(X_468,multiply(Y_469,Z_470)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_55390,plain,
! [X_2,Z_470] : ( multiply(inverse(X_2),multiply(X_2,Z_470)) = multiply(identity,Z_470) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_55336]) ).
tff(c_55405,plain,
! [X_2,Z_470] : ( multiply(inverse(X_2),multiply(X_2,Z_470)) = Z_470 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55390]) ).
tff(c_55651,plain,
! [Z_481] : ( multiply(sk_c9,multiply(sk_c11,Z_481)) = multiply(sk_c10,Z_481) ),
inference(superposition,[status(thm),theory(equality)],[c_53251,c_55336]) ).
tff(c_55669,plain,
multiply(sk_c9,identity) = multiply(sk_c10,sk_c1),
inference(superposition,[status(thm),theory(equality)],[c_141,c_55651]) ).
tff(c_53237,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53232,c_4]) ).
tff(c_55666,plain,
multiply(sk_c9,identity) = multiply(sk_c10,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_53237,c_55651]) ).
tff(c_55755,plain,
multiply(sk_c10,sk_c3) = multiply(sk_c10,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_55669,c_55666]) ).
tff(c_56050,plain,
! [X_489,Z_490] : ( multiply(inverse(X_489),multiply(X_489,Z_490)) = Z_490 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55390]) ).
tff(c_56104,plain,
multiply(inverse(sk_c10),multiply(sk_c10,sk_c1)) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_55755,c_56050]) ).
tff(c_56232,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_55405,c_56104]) ).
tff(c_55303,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_56253,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_56232,c_55303]) ).
tff(c_56258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55304,c_56253]) ).
tff(c_56260,plain,
multiply(sk_c9,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_92,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c9,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_56344,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_56260,c_92]) ).
tff(c_56301,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_53233,c_54]) ).
tff(c_56305,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_56301,c_4]) ).
tff(c_56404,plain,
! [Z_493] : ( multiply(sk_c10,multiply(sk_c4,Z_493)) = multiply(identity,Z_493) ),
inference(superposition,[status(thm),theory(equality)],[c_56305,c_56371]) ).
tff(c_56495,plain,
! [Z_497] : ( multiply(sk_c10,multiply(sk_c4,Z_497)) = Z_497 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56404]) ).
tff(c_56507,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_56344,c_56495]) ).
tff(c_56555,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_56507,c_56534]) ).
tff(c_56644,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_56555]) ).
tff(c_56659,plain,
multiply(identity,sk_c11) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_56644,c_56260]) ).
tff(c_56661,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56659]) ).
tff(c_56680,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_56645,c_56661]) ).
tff(c_56285,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_53233,c_58]) ).
tff(c_56353,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_53233,c_56]) ).
tff(c_56579,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_56353,c_56534]) ).
tff(c_56646,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_56285,c_56579]) ).
tff(c_56440,plain,
! [X_2,Z_493] : ( multiply(inverse(X_2),multiply(X_2,Z_493)) = Z_493 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56425]) ).
tff(c_56762,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_56646,c_56440]) ).
tff(c_56768,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_56762]) ).
tff(c_56770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56680,c_56768]) ).
tff(c_56771,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_56957,plain,
! [Z_509] : ( multiply(sk_c8,multiply(sk_c10,Z_509)) = multiply(sk_c11,Z_509) ),
inference(superposition,[status(thm),theory(equality)],[c_56771,c_56817]) ).
tff(c_56981,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_129,c_56957]) ).
tff(c_56978,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_56305,c_56957]) ).
tff(c_57024,plain,
multiply(sk_c11,sk_c4) = multiply(sk_c11,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_56981,c_56978]) ).
tff(c_57033,plain,
! [X_511,Z_512] : ( multiply(inverse(X_511),multiply(X_511,Z_512)) = Z_512 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56868]) ).
tff(c_57051,plain,
multiply(inverse(sk_c11),multiply(sk_c11,sk_c2)) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_57024,c_57033]) ).
tff(c_57154,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_56883,c_57051]) ).
tff(c_56796,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_56260,c_92]) ).
tff(c_57172,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_57154,c_56796]) ).
tff(c_57177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53233,c_57172]) ).
tff(c_57178,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_57183,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57178,c_4]) ).
tff(c_57345,plain,
! [Z_515] : ( multiply(sk_c6,multiply(sk_c7,Z_515)) = multiply(identity,Z_515) ),
inference(superposition,[status(thm),theory(equality)],[c_57183,c_57303]) ).
tff(c_57363,plain,
! [Z_515] : ( multiply(sk_c6,multiply(sk_c7,Z_515)) = Z_515 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57345]) ).
tff(c_57179,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_44,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_57219,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_57179,c_44]) ).
tff(c_57223,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57219,c_4]) ).
tff(c_57336,plain,
! [Z_515] : ( multiply(sk_c8,multiply(sk_c6,Z_515)) = multiply(identity,Z_515) ),
inference(superposition,[status(thm),theory(equality)],[c_57223,c_57303]) ).
tff(c_57830,plain,
! [Z_528] : ( multiply(sk_c8,multiply(sk_c6,Z_528)) = Z_528 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57336]) ).
tff(c_58938,plain,
! [Z_547] : ( multiply(sk_c8,Z_547) = multiply(sk_c7,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_57363,c_57830]) ).
tff(c_57848,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_57183,c_57830]) ).
tff(c_58947,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_58938,c_57848]) ).
tff(c_46,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_57244,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_57179,c_46]) ).
tff(c_57807,plain,
! [Z_527] : ( multiply(sk_c6,multiply(sk_c7,Z_527)) = Z_527 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57345]) ).
tff(c_57819,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_57244,c_57807]) ).
tff(c_58995,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57223,c_58938]) ).
tff(c_57845,plain,
! [Z_515] : ( multiply(sk_c8,Z_515) = multiply(sk_c7,Z_515) ),
inference(superposition,[status(thm),theory(equality)],[c_57363,c_57830]) ).
tff(c_57330,plain,
! [Z_515] : ( multiply(sk_c7,multiply(sk_c8,Z_515)) = multiply(sk_c6,Z_515) ),
inference(superposition,[status(thm),theory(equality)],[c_57244,c_57303]) ).
tff(c_59024,plain,
! [Z_515] : ( multiply(sk_c7,multiply(sk_c7,Z_515)) = multiply(sk_c6,Z_515) ),
inference(demodulation,[status(thm),theory(equality)],[c_57845,c_57330]) ).
tff(c_59062,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_58995,c_59024]) ).
tff(c_59071,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_58947,c_57819,c_59062]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_57262,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_57179,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_57227,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_57179,c_38]) ).
tff(c_57231,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57227,c_4]) ).
tff(c_57333,plain,
! [Z_515] : ( multiply(sk_c8,multiply(sk_c5,Z_515)) = multiply(identity,Z_515) ),
inference(superposition,[status(thm),theory(equality)],[c_57231,c_57303]) ).
tff(c_57367,plain,
! [Z_516] : ( multiply(sk_c8,multiply(sk_c5,Z_516)) = Z_516 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57333]) ).
tff(c_57379,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_57262,c_57367]) ).
tff(c_58983,plain,
multiply(sk_c7,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_57379,c_58938]) ).
tff(c_59217,plain,
multiply(sk_c7,sk_c11) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_59071,c_58983]) ).
tff(c_59224,plain,
multiply(sk_c6,sk_c7) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_59217,c_57363]) ).
tff(c_59230,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57183,c_59224]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_57206,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_57179,c_30]) ).
tff(c_59239,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_59230,c_57206]) ).
tff(c_59249,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_59239,c_4]) ).
tff(c_60565,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_59249,c_57365]) ).
tff(c_60577,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_60565]) ).
tff(c_60581,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60577,c_59239]) ).
tff(c_28,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_57252,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_57179,c_28]) ).
tff(c_57327,plain,
! [Z_515] : ( multiply(sk_c3,multiply(sk_c11,Z_515)) = multiply(sk_c10,Z_515) ),
inference(superposition,[status(thm),theory(equality)],[c_57252,c_57303]) ).
tff(c_60612,plain,
! [Z_572] : ( multiply(sk_c10,Z_572) = Z_572 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60577,c_2,c_59230,c_57327]) ).
tff(c_60633,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_60612,c_129]) ).
tff(c_60664,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_60633,c_125]) ).
tff(c_60667,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60581,c_60664]) ).
tff(c_59317,plain,
! [X_550,Z_551] : ( multiply(inverse(X_550),multiply(X_550,Z_551)) = Z_551 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57351]) ).
tff(c_59702,plain,
! [X_554,Z_555] : ( multiply(inverse(inverse(X_554)),Z_555) = multiply(X_554,Z_555) ),
inference(superposition,[status(thm),theory(equality)],[c_59317,c_57365]) ).
tff(c_59401,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_59317]) ).
tff(c_59709,plain,
! [X_554] : ( multiply(X_554,identity) = X_554 ),
inference(superposition,[status(thm),theory(equality)],[c_59702,c_59401]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_57272,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_57179,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_57193,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_57179,c_34]) ).
tff(c_57197,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57193,c_4]) ).
tff(c_57342,plain,
! [Z_515] : ( multiply(sk_c10,multiply(sk_c4,Z_515)) = multiply(identity,Z_515) ),
inference(superposition,[status(thm),theory(equality)],[c_57197,c_57303]) ).
tff(c_57784,plain,
! [Z_526] : ( multiply(sk_c10,multiply(sk_c4,Z_526)) = Z_526 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57342]) ).
tff(c_57796,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_57272,c_57784]) ).
tff(c_59371,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_57796,c_59317]) ).
tff(c_59416,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_59371]) ).
tff(c_57506,plain,
! [X_522,Z_523] : ( multiply(inverse(X_522),multiply(X_522,Z_523)) = Z_523 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57351]) ).
tff(c_57548,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_57379,c_57506]) ).
tff(c_57618,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_57548]) ).
tff(c_57450,plain,
! [Z_520] : ( multiply(sk_c10,multiply(sk_c4,Z_520)) = Z_520 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57342]) ).
tff(c_57465,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_57272,c_57450]) ).
tff(c_57530,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_57465,c_57506]) ).
tff(c_57617,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_57530]) ).
tff(c_57390,plain,
multiply(sk_c9,sk_c11) != sk_c10,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_57631,plain,
multiply(identity,sk_c11) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_57617,c_57390]) ).
tff(c_57633,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57631]) ).
tff(c_57700,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_57618,c_57633]) ).
tff(c_57566,plain,
multiply(inverse(sk_c3),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_57252,c_57506]) ).
tff(c_57621,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_57206,c_57566]) ).
tff(c_57773,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57618,c_2,c_57618,c_57621]) ).
tff(c_57774,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57700,c_57773]) ).
tff(c_57776,plain,
multiply(sk_c9,sk_c11) = sk_c10,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_57780,plain,
! [Z_5] : ( multiply(sk_c9,multiply(sk_c11,Z_5)) = multiply(sk_c10,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_57776,c_6]) ).
tff(c_59587,plain,
! [Z_5] : ( multiply(sk_c10,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59416,c_2,c_59230,c_57780]) ).
tff(c_59430,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_59416,c_57796]) ).
tff(c_59589,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_59587,c_59430]) ).
tff(c_57993,plain,
! [Z_534] : ( multiply(sk_c8,Z_534) = multiply(sk_c7,Z_534) ),
inference(superposition,[status(thm),theory(equality)],[c_57363,c_57830]) ).
tff(c_58005,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_57993,c_57848]) ).
tff(c_58053,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57223,c_57993]) ).
tff(c_58082,plain,
! [Z_515] : ( multiply(sk_c7,multiply(sk_c7,Z_515)) = multiply(sk_c6,Z_515) ),
inference(demodulation,[status(thm),theory(equality)],[c_57845,c_57330]) ).
tff(c_58134,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_58053,c_58082]) ).
tff(c_58143,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_58005,c_57819,c_58134]) ).
tff(c_58041,plain,
multiply(sk_c7,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_57379,c_57993]) ).
tff(c_58385,plain,
multiply(sk_c7,sk_c11) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_58143,c_58041]) ).
tff(c_58389,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_58385,c_57365]) ).
tff(c_58401,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57183,c_57178,c_58389]) ).
tff(c_57210,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57206,c_4]) ).
tff(c_57339,plain,
! [Z_515] : ( multiply(sk_c11,multiply(sk_c3,Z_515)) = multiply(identity,Z_515) ),
inference(superposition,[status(thm),theory(equality)],[c_57210,c_57303]) ).
tff(c_57868,plain,
! [Z_529] : ( multiply(sk_c11,multiply(sk_c3,Z_529)) = Z_529 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57339]) ).
tff(c_57880,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_57252,c_57868]) ).
tff(c_58191,plain,
! [X_536,Z_537] : ( multiply(inverse(X_536),multiply(X_536,Z_537)) = Z_537 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57351]) ).
tff(c_58239,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_57880,c_58191]) ).
tff(c_58305,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_58239]) ).
tff(c_40,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_57257,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_57179,c_40]) ).
tff(c_57324,plain,
! [Z_515] : ( multiply(sk_c8,multiply(sk_c10,Z_515)) = multiply(sk_c11,Z_515) ),
inference(superposition,[status(thm),theory(equality)],[c_57257,c_57303]) ).
tff(c_58419,plain,
! [Z_538] : ( multiply(sk_c7,Z_538) = Z_538 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58401,c_2,c_58305,c_58143,c_57324]) ).
tff(c_58431,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_58419,c_58053]) ).
tff(c_58415,plain,
! [Z_515] : ( multiply(sk_c7,Z_515) = Z_515 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58401,c_2,c_58305,c_58143,c_57324]) ).
tff(c_58417,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_58415,c_58005]) ).
tff(c_58455,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_58417,c_57178]) ).
tff(c_58503,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_58431,c_58455]) ).
tff(c_58452,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_58417,c_58143]) ).
tff(c_57775,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_57959,plain,
! [X7_532,X5_533] :
( ( inverse(multiply(X7_532,inverse(X5_533))) != inverse(X5_533) )
| ( multiply(X7_532,inverse(X5_533)) != inverse(X7_532) )
| ( multiply(inverse(X5_533),sk_c10) != sk_c11 )
| ( multiply(X5_533,inverse(X5_533)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_57775]) ).
tff(c_57964,plain,
! [X7_532] :
( ( inverse(multiply(X7_532,sk_c8)) != inverse(sk_c5) )
| ( multiply(X7_532,inverse(sk_c5)) != inverse(X7_532) )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_57227,c_57959]) ).
tff(c_57983,plain,
! [X7_532] :
( ( inverse(multiply(X7_532,sk_c8)) != sk_c8 )
| ( multiply(X7_532,sk_c8) != inverse(X7_532) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57262,c_57227,c_57257,c_57227,c_57227,c_57227,c_57964]) ).
tff(c_58619,plain,
! [X7_540] :
( ( inverse(multiply(X7_540,identity)) != identity )
| ( multiply(X7_540,identity) != inverse(X7_540) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58452,c_58452,c_58452,c_57983]) ).
tff(c_58627,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_58619]) ).
tff(c_58635,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58503,c_58503,c_4,c_58503,c_58627]) ).
tff(c_58636,plain,
! [X2_11,X1_10,X4_13,X3_8] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_57775]) ).
tff(c_58901,plain,
! [X3_546] :
( ( inverse(X3_546) != sk_c11 )
| ( multiply(X3_546,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_58636]) ).
tff(c_58921,plain,
inverse(sk_c3) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_57252,c_58901]) ).
tff(c_58936,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_57206,c_58921]) ).
tff(c_58937,plain,
! [X4_13,X1_10,X2_11] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_58636]) ).
tff(c_59179,plain,
! [X2_549] :
( ( inverse(X2_549) != sk_c10 )
| ( multiply(X2_549,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_58937]) ).
tff(c_59186,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_57272,c_59179]) ).
tff(c_59198,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_57193,c_59186]) ).
tff(c_59199,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_58937]) ).
tff(c_59253,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59230,c_59230,c_59199]) ).
tff(c_59254,plain,
! [X4_13] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_59253]) ).
tff(c_60398,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_59709,c_59589,c_59416,c_59589,c_59254]) ).
tff(c_59277,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_59249,c_2]) ).
tff(c_59286,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_59277,c_59239]) ).
tff(c_60400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60398,c_59286]) ).
tff(c_60401,plain,
! [X1_10] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_59253]) ).
tff(c_61222,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_60824,c_60667,c_60401]) ).
tff(c_61224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61222,c_60581]) ).
tff(c_61226,plain,
inverse(sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_70,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_61284,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_61226,c_70]) ).
tff(c_68,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_61318,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_61226,c_68]) ).
tff(c_74,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_61251,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_61226,c_74]) ).
tff(c_72,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_61331,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_61226,c_72]) ).
tff(c_61288,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61284,c_4]) ).
tff(c_61362,plain,
! [X_585,Y_586,Z_587] : ( multiply(multiply(X_585,Y_586),Z_587) = multiply(X_585,multiply(Y_586,Z_587)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_61392,plain,
! [Z_587] : ( multiply(sk_c11,multiply(sk_c3,Z_587)) = multiply(identity,Z_587) ),
inference(superposition,[status(thm),theory(equality)],[c_61288,c_61362]) ).
tff(c_61426,plain,
! [Z_588] : ( multiply(sk_c11,multiply(sk_c3,Z_588)) = Z_588 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61392]) ).
tff(c_61438,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_61318,c_61426]) ).
tff(c_61410,plain,
! [X_2,Z_587] : ( multiply(inverse(X_2),multiply(X_2,Z_587)) = multiply(identity,Z_587) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_61362]) ).
tff(c_62488,plain,
! [X_607,Z_608] : ( multiply(inverse(X_607),multiply(X_607,Z_608)) = Z_608 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61410]) ).
tff(c_62545,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_61438,c_62488]) ).
tff(c_62599,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_62545]) ).
tff(c_61255,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61251,c_4]) ).
tff(c_61401,plain,
! [Z_587] : ( multiply(sk_c10,multiply(sk_c4,Z_587)) = multiply(identity,Z_587) ),
inference(superposition,[status(thm),theory(equality)],[c_61255,c_61362]) ).
tff(c_62208,plain,
! [Z_601] : ( multiply(sk_c10,multiply(sk_c4,Z_601)) = Z_601 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61401]) ).
tff(c_62226,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_61331,c_62208]) ).
tff(c_62527,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_62226,c_62488]) ).
tff(c_62597,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_62527]) ).
tff(c_61225,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_61304,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_61226,c_76]) ).
tff(c_61594,plain,
! [X_593,Z_594] : ( multiply(inverse(X_593),multiply(X_593,Z_594)) = Z_594 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61410]) ).
tff(c_61660,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_61304,c_61594]) ).
tff(c_61715,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_61225,c_61660]) ).
tff(c_61424,plain,
! [X_2,Z_587] : ( multiply(inverse(X_2),multiply(X_2,Z_587)) = Z_587 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61410]) ).
tff(c_61832,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_61715,c_61424]) ).
tff(c_61842,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_61832]) ).
tff(c_61639,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_61438,c_61594]) ).
tff(c_61711,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_61639]) ).
tff(c_61651,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_61331,c_61594]) ).
tff(c_61713,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_61251,c_61651]) ).
tff(c_61782,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61711,c_2,c_61711,c_61713]) ).
tff(c_61472,plain,
multiply(sk_c9,sk_c11) != sk_c10,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_61721,plain,
multiply(sk_c9,sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_61711,c_61472]) ).
tff(c_62113,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_61842,c_2,c_61782,c_61721]) ).
tff(c_62115,plain,
multiply(sk_c9,sk_c11) = sk_c10,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_62119,plain,
! [Z_5] : ( multiply(sk_c9,multiply(sk_c11,Z_5)) = multiply(sk_c10,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_62115,c_6]) ).
tff(c_62701,plain,
! [Z_5] : ( multiply(sk_c11,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62599,c_2,c_62597,c_62119]) ).
tff(c_82,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_61264,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_61226,c_82]) ).
tff(c_61268,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61264,c_4]) ).
tff(c_61398,plain,
! [Z_587] : ( multiply(sk_c6,multiply(sk_c7,Z_587)) = multiply(identity,Z_587) ),
inference(superposition,[status(thm),theory(equality)],[c_61268,c_61362]) ).
tff(c_61420,plain,
! [Z_587] : ( multiply(sk_c6,multiply(sk_c7,Z_587)) = Z_587 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61398]) ).
tff(c_84,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_61276,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_61226,c_84]) ).
tff(c_61280,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61276,c_4]) ).
tff(c_61395,plain,
! [Z_587] : ( multiply(sk_c8,multiply(sk_c6,Z_587)) = multiply(identity,Z_587) ),
inference(superposition,[status(thm),theory(equality)],[c_61280,c_61362]) ).
tff(c_62123,plain,
! [Z_598] : ( multiply(sk_c8,multiply(sk_c6,Z_598)) = Z_598 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61395]) ).
tff(c_62296,plain,
! [Z_605] : ( multiply(sk_c8,Z_605) = multiply(sk_c7,Z_605) ),
inference(superposition,[status(thm),theory(equality)],[c_61420,c_62123]) ).
tff(c_62141,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_61268,c_62123]) ).
tff(c_62314,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_62296,c_62141]) ).
tff(c_86,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_61338,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_61226,c_86]) ).
tff(c_61449,plain,
! [Z_589] : ( multiply(sk_c6,multiply(sk_c7,Z_589)) = Z_589 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61398]) ).
tff(c_61461,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_61338,c_61449]) ).
tff(c_62353,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61280,c_62296]) ).
tff(c_62138,plain,
! [Z_587] : ( multiply(sk_c8,Z_587) = multiply(sk_c7,Z_587) ),
inference(superposition,[status(thm),theory(equality)],[c_61420,c_62123]) ).
tff(c_61377,plain,
! [Z_587] : ( multiply(sk_c7,multiply(sk_c8,Z_587)) = multiply(sk_c6,Z_587) ),
inference(superposition,[status(thm),theory(equality)],[c_61338,c_61362]) ).
tff(c_62374,plain,
! [Z_587] : ( multiply(sk_c7,multiply(sk_c7,Z_587)) = multiply(sk_c6,Z_587) ),
inference(demodulation,[status(thm),theory(equality)],[c_62138,c_61377]) ).
tff(c_62453,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_62353,c_62374]) ).
tff(c_62462,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_62314,c_61461,c_62453]) ).
tff(c_80,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_61309,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_61226,c_80]) ).
tff(c_61386,plain,
! [Z_587] : ( multiply(sk_c8,multiply(sk_c10,Z_587)) = multiply(sk_c11,Z_587) ),
inference(superposition,[status(thm),theory(equality)],[c_61309,c_61362]) ).
tff(c_62807,plain,
! [Z_611] : ( multiply(sk_c7,Z_611) = Z_611 ),
inference(demodulation,[status(thm),theory(equality)],[c_62701,c_2,c_62599,c_62462,c_61386]) ).
tff(c_62816,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_62807,c_62353]) ).
tff(c_62803,plain,
! [Z_587] : ( multiply(sk_c7,Z_587) = Z_587 ),
inference(demodulation,[status(thm),theory(equality)],[c_62701,c_2,c_62599,c_62462,c_61386]) ).
tff(c_62804,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62803,c_62314]) ).
tff(c_62477,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_62462,c_61276]) ).
tff(c_62837,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62804,c_62477]) ).
tff(c_62896,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62816,c_62837]) ).
tff(c_62839,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62804,c_62462]) ).
tff(c_62114,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_62248,plain,
! [X7_602,X5_603] :
( ( inverse(multiply(X7_602,inverse(X5_603))) != inverse(X5_603) )
| ( multiply(X7_602,inverse(X5_603)) != inverse(X7_602) )
| ( multiply(inverse(X5_603),sk_c10) != sk_c11 )
| ( multiply(X5_603,inverse(X5_603)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_62114]) ).
tff(c_62263,plain,
! [X7_602] :
( ( inverse(multiply(X7_602,sk_c8)) != inverse(sk_c5) )
| ( multiply(X7_602,inverse(sk_c5)) != inverse(X7_602) )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_61225,c_62248]) ).
tff(c_62280,plain,
! [X7_602] :
( ( inverse(multiply(X7_602,sk_c8)) != sk_c8 )
| ( multiply(X7_602,sk_c8) != inverse(X7_602) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61304,c_61225,c_61309,c_61225,c_61225,c_61225,c_62263]) ).
tff(c_62922,plain,
! [X7_613] :
( ( inverse(multiply(X7_613,identity)) != identity )
| ( multiply(X7_613,identity) != inverse(X7_613) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62839,c_62839,c_62839,c_62280]) ).
tff(c_62933,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_62922]) ).
tff(c_62942,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62896,c_62896,c_4,c_62896,c_62933]) ).
tff(c_62943,plain,
! [X2_11,X1_10,X4_13,X3_8] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X3_8,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_62114]) ).
tff(c_63211,plain,
! [X3_620] :
( ( inverse(X3_620) != sk_c11 )
| ( multiply(X3_620,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_62943]) ).
tff(c_63231,plain,
inverse(sk_c3) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_61318,c_63211]) ).
tff(c_63246,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_61284,c_63231]) ).
tff(c_63247,plain,
! [X4_13,X1_10,X2_11] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_62943]) ).
tff(c_63488,plain,
! [X2_625] :
( ( inverse(X2_625) != sk_c10 )
| ( multiply(X2_625,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_63247]) ).
tff(c_63511,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_61331,c_63488]) ).
tff(c_63529,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_61251,c_63511]) ).
tff(c_63530,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_63247]) ).
tff(c_63698,plain,
! [X4_627] :
( ( inverse(X4_627) != sk_c10 )
| ( multiply(X4_627,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_63530]) ).
tff(c_63721,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_61331,c_63698]) ).
tff(c_63739,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_61251,c_63721]) ).
tff(c_63842,plain,
! [X1_628] :
( ( inverse(X1_628) != sk_c11 )
| ( multiply(X1_628,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_63530]) ).
tff(c_63865,plain,
inverse(sk_c3) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_61318,c_63842]) ).
tff(c_63882,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_61284,c_63865]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP260-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:11:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 18.20/7.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.27/7.17
% 18.27/7.17 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.51/7.24
% 18.51/7.24 Inference rules
% 18.51/7.24 ----------------------
% 18.51/7.24 #Ref : 0
% 18.51/7.24 #Sup : 15717
% 18.51/7.24 #Fact : 0
% 18.51/7.24 #Define : 0
% 18.51/7.24 #Split : 33
% 18.51/7.24 #Chain : 0
% 18.51/7.24 #Close : 0
% 18.51/7.24
% 18.51/7.24 Ordering : KBO
% 18.51/7.24
% 18.51/7.24 Simplification rules
% 18.51/7.24 ----------------------
% 18.51/7.24 #Subsume : 4
% 18.51/7.24 #Demod : 48100
% 18.51/7.24 #Tautology : 12492
% 18.51/7.24 #SimpNegUnit : 113
% 18.51/7.24 #BackRed : 525
% 18.51/7.24
% 18.51/7.24 #Partial instantiations: 0
% 18.51/7.24 #Strategies tried : 1
% 18.51/7.24
% 18.51/7.24 Timing (in seconds)
% 18.51/7.24 ----------------------
% 18.51/7.24 Preprocessing : 0.57
% 18.51/7.24 Parsing : 0.20
% 18.51/7.24 CNF conversion : 0.03
% 18.51/7.24 Main loop : 5.52
% 18.51/7.24 Inferencing : 1.47
% 18.51/7.24 Reduction : 3.17
% 18.51/7.24 Demodulation : 2.93
% 18.51/7.24 BG Simplification : 0.13
% 18.51/7.24 Subsumption : 0.51
% 18.51/7.24 Abstraction : 0.35
% 18.51/7.24 MUC search : 0.00
% 18.51/7.24 Cooper : 0.00
% 18.51/7.24 Total : 6.23
% 18.51/7.24 Index Insertion : 0.00
% 18.51/7.24 Index Deletion : 0.00
% 18.51/7.24 Index Matching : 0.00
% 18.51/7.24 BG Taut test : 0.00
%------------------------------------------------------------------------------