TSTP Solution File: GRP263-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP263-1 : 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 : 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 10:40:42 EDT 2023
% Result : Unsatisfiable 16.76s 6.11s
% Output : CNFRefutation 16.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 62
% Syntax : Number of formulae : 728 ( 570 unt; 14 typ; 0 def)
% Number of atoms : 1008 ( 980 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 601 ( 307 ~; 294 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 353 (; 353 !; 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_170,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c11 )
| ( 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_c10) != sk_c11 )
| ( 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_c10) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
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_74,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c11 )
| ( inverse(sk_c6) = sk_c8 ) ),
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_188,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
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_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_143,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
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_92,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( multiply(sk_c9,sk_c10) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
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_95,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c4) = 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_155,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
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_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(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_52319,plain,
! [X_544,Y_545,Z_546] : ( multiply(multiply(X_544,Y_545),Z_546) = multiply(X_544,multiply(Y_545,Z_546)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_52367,plain,
! [X_2,Z_546] : ( multiply(inverse(X_2),multiply(X_2,Z_546)) = multiply(identity,Z_546) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_52319]) ).
tff(c_54515,plain,
! [X_584,Z_585] : ( multiply(inverse(X_584),multiply(X_584,Z_585)) = Z_585 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52367]) ).
tff(c_52381,plain,
! [X_2,Z_546] : ( multiply(inverse(X_2),multiply(X_2,Z_546)) = Z_546 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52367]) ).
tff(c_54794,plain,
! [X_588,Z_589] : ( multiply(inverse(inverse(X_588)),Z_589) = multiply(X_588,Z_589) ),
inference(superposition,[status(thm),theory(equality)],[c_54515,c_52381]) ).
tff(c_54551,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_54515]) ).
tff(c_54801,plain,
! [X_588] : ( multiply(X_588,identity) = X_588 ),
inference(superposition,[status(thm),theory(equality)],[c_54794,c_54551]) ).
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_20339,plain,
! [X_182,Z_183] : ( multiply(inverse(inverse(X_182)),Z_183) = multiply(X_182,Z_183) ),
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_20346,plain,
! [X_182] : ( multiply(X_182,identity) = X_182 ),
inference(superposition,[status(thm),theory(equality)],[c_20339,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_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_515,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_129]) ).
tff(c_618,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_515,c_249]) ).
tff(c_630,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_618]) ).
tff(c_516,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_125]) ).
tff(c_635,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_630,c_516]) ).
tff(c_753,plain,
! [X_28,Z_29] : ( multiply(inverse(inverse(X_28)),Z_29) = multiply(X_28,Z_29) ),
inference(superposition,[status(thm),theory(equality)],[c_297,c_249]) ).
tff(c_764,plain,
! [X_28] : ( multiply(X_28,identity) = X_28 ),
inference(superposition,[status(thm),theory(equality)],[c_753,c_351]) ).
tff(c_798,plain,
! [X_28] : ( multiply(X_28,inverse(X_28)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_753]) ).
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_1037,plain,
! [X_35,Y_36,Z_37] : ( multiply(inverse(multiply(X_35,Y_36)),multiply(X_35,multiply(Y_36,Z_37))) = Z_37 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_297]) ).
tff(c_1116,plain,
! [X_35,X_2] : ( multiply(inverse(multiply(X_35,inverse(X_2))),multiply(X_35,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1037]) ).
tff(c_1153,plain,
! [X_38,X_39] : ( multiply(inverse(multiply(X_38,inverse(X_39))),X_38) = X_39 ),
inference(demodulation,[status(thm),theory(equality)],[c_764,c_1116]) ).
tff(c_794,plain,
! [X_28,Z_18] : ( multiply(X_28,multiply(inverse(X_28),Z_18)) = Z_18 ),
inference(superposition,[status(thm),theory(equality)],[c_249,c_753]) ).
tff(c_1173,plain,
! [X_38,X_39] : ( multiply(multiply(X_38,inverse(X_39)),X_39) = X_38 ),
inference(superposition,[status(thm),theory(equality)],[c_1153,c_794]) ).
tff(c_805,plain,
! [X_30] : ( multiply(X_30,identity) = X_30 ),
inference(superposition,[status(thm),theory(equality)],[c_753,c_351]) ).
tff(c_300,plain,
! [X_21,Z_22] : ( multiply(inverse(inverse(X_21)),Z_22) = multiply(X_21,Z_22) ),
inference(superposition,[status(thm),theory(equality)],[c_297,c_249]) ).
tff(c_812,plain,
! [X_21] : ( inverse(inverse(X_21)) = multiply(X_21,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_805,c_300]) ).
tff(c_865,plain,
! [X_21] : ( inverse(inverse(X_21)) = X_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_764,c_812]) ).
tff(c_1085,plain,
! [X_35,X_28] : ( multiply(inverse(multiply(X_35,X_28)),multiply(X_35,identity)) = inverse(X_28) ),
inference(superposition,[status(thm),theory(equality)],[c_798,c_1037]) ).
tff(c_1408,plain,
! [X_44,X_45] : ( multiply(inverse(multiply(X_44,X_45)),X_44) = inverse(X_45) ),
inference(demodulation,[status(thm),theory(equality)],[c_764,c_1085]) ).
tff(c_1141,plain,
! [X_35,X_28] : ( multiply(inverse(multiply(X_35,X_28)),X_35) = inverse(X_28) ),
inference(demodulation,[status(thm),theory(equality)],[c_764,c_1085]) ).
tff(c_1411,plain,
! [X_45,X_44] : ( multiply(inverse(inverse(X_45)),inverse(multiply(X_44,X_45))) = inverse(X_44) ),
inference(superposition,[status(thm),theory(equality)],[c_1408,c_1141]) ).
tff(c_1519,plain,
! [X_46,X_47] : ( multiply(X_46,inverse(multiply(X_47,X_46))) = inverse(X_47) ),
inference(demodulation,[status(thm),theory(equality)],[c_865,c_1411]) ).
tff(c_1576,plain,
! [X_38,X_39] : ( inverse(multiply(X_38,inverse(X_39))) = multiply(X_39,inverse(X_38)) ),
inference(superposition,[status(thm),theory(equality)],[c_1173,c_1519]) ).
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_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_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_171,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_505,plain,
multiply(identity,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_171]) ).
tff(c_507,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_505]) ).
tff(c_521,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_507]) ).
tff(c_379,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_125]) ).
tff(c_369,plain,
multiply(sk_c2,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_157]) ).
tff(c_462,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_369]) ).
tff(c_368,plain,
multiply(identity,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_171]) ).
tff(c_370,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_368]) ).
tff(c_384,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_370]) ).
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_c10) != sk_c11 )
| ( 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_476,plain,
! [X3_24] :
( ( inverse(X3_24) != identity )
| ( multiply(X3_24,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_359,c_384,c_366]) ).
tff(c_479,plain,
inverse(sk_c2) != identity,
inference(superposition,[status(thm),theory(equality)],[c_462,c_476]) ).
tff(c_502,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_479]) ).
tff(c_503,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_612,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( inverse(X4_13) != identity )
| ( multiply(X4_13,identity) != identity )
| ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != 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) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_521,c_521,c_359,c_359,c_358,c_359,c_521,c_359,c_521,c_359,c_358,c_359,c_503]) ).
tff(c_613,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) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(splitLeft,[status(thm)],[c_612]) ).
tff(c_20118,plain,
! [X5_178,X7_179] :
( ( multiply(X5_178,inverse(X7_179)) != inverse(X5_178) )
| ( multiply(X7_179,inverse(X5_178)) != inverse(X7_179) )
| ( inverse(X5_178) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_798,c_764,c_1576,c_613]) ).
tff(c_20179,plain,
! [X7_179] :
( ( inverse(identity) != inverse(X7_179) )
| ( multiply(X7_179,inverse(identity)) != inverse(X7_179) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_20118]) ).
tff(c_20205,plain,
! [X7_180] :
( ( inverse(X7_180) != identity )
| ( inverse(X7_180) != X7_180 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_635,c_764,c_635,c_635,c_20179]) ).
tff(c_20217,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_635,c_20205]) ).
tff(c_20226,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_635,c_20217]) ).
tff(c_20227,plain,
! [X2_11,X1_10,X4_13] :
( ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != identity )
| ( inverse(X4_13) != identity )
| ( multiply(X4_13,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_612]) ).
tff(c_41063,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_20346,c_20346,c_20346,c_20227]) ).
tff(c_41065,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_41063]) ).
tff(c_20238,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_515,c_2]) ).
tff(c_20249,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20238,c_516]) ).
tff(c_41067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41065,c_20249]) ).
tff(c_41068,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_41063]) ).
tff(c_41070,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_41068]) ).
tff(c_41072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41070,c_20249]) ).
tff(c_41075,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_41068]) ).
tff(c_41077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41075,c_20249]) ).
tff(c_41079,plain,
multiply(sk_c9,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_96,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c9,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_41171,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_41079,c_96]) ).
tff(c_98,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c9,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_41122,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_41079,c_98]) ).
tff(c_41126,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41122,c_4]) ).
tff(c_41188,plain,
! [X_339,Y_340,Z_341] : ( multiply(multiply(X_339,Y_340),Z_341) = multiply(X_339,multiply(Y_340,Z_341)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41221,plain,
! [Z_341] : ( multiply(sk_c8,multiply(sk_c5,Z_341)) = multiply(identity,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_41126,c_41188]) ).
tff(c_41308,plain,
! [Z_344] : ( multiply(sk_c8,multiply(sk_c5,Z_344)) = Z_344 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41221]) ).
tff(c_41320,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41171,c_41308]) ).
tff(c_41245,plain,
! [X_2,Z_341] : ( multiply(inverse(X_2),multiply(X_2,Z_341)) = multiply(identity,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41188]) ).
tff(c_41419,plain,
! [X_348,Z_349] : ( multiply(inverse(X_348),multiply(X_348,Z_349)) = Z_349 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41245]) ).
tff(c_41455,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_41320,c_41419]) ).
tff(c_41549,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41455]) ).
tff(c_41239,plain,
! [Z_341] : ( multiply(sk_c11,multiply(sk_c1,Z_341)) = multiply(identity,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_41188]) ).
tff(c_41262,plain,
! [Z_342] : ( multiply(sk_c11,multiply(sk_c1,Z_342)) = Z_342 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41239]) ).
tff(c_41274,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_163,c_41262]) ).
tff(c_41467,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_41274,c_41419]) ).
tff(c_41551,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41467]) ).
tff(c_41242,plain,
! [Z_341] : ( multiply(sk_c10,multiply(sk_c2,Z_341)) = multiply(identity,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_41188]) ).
tff(c_41285,plain,
! [Z_343] : ( multiply(sk_c10,multiply(sk_c2,Z_343)) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41242]) ).
tff(c_41297,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_157,c_41285]) ).
tff(c_41461,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_41297,c_41419]) ).
tff(c_41550,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41461]) ).
tff(c_41566,plain,
multiply(identity,sk_c10) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_41550,c_41079]) ).
tff(c_41568,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41566]) ).
tff(c_41643,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41549,c_41551,c_41568]) ).
tff(c_41645,plain,
multiply(sk_c1,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_43828,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_41645,c_16]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_41714,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_41645,c_10]) ).
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_41743,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_41645,c_8]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_41690,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_41645,c_14]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_41753,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_41645,c_12]) ).
tff(c_41644,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_41649,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41644,c_4]) ).
tff(c_24,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_41676,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_41645,c_24]) ).
tff(c_41680,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41676,c_4]) ).
tff(c_41763,plain,
! [X_351,Y_352,Z_353] : ( multiply(multiply(X_351,Y_352),Z_353) = multiply(X_351,multiply(Y_352,Z_353)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41802,plain,
! [Z_353] : ( multiply(sk_c8,multiply(sk_c6,Z_353)) = multiply(identity,Z_353) ),
inference(superposition,[status(thm),theory(equality)],[c_41680,c_41763]) ).
tff(c_42050,plain,
! [Z_363] : ( multiply(sk_c8,multiply(sk_c6,Z_363)) = Z_363 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41802]) ).
tff(c_42068,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41649,c_42050]) ).
tff(c_41748,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_41645,c_16]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_41698,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_41645,c_18]) ).
tff(c_41702,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41698,c_4]) ).
tff(c_41796,plain,
! [Z_353] : ( multiply(sk_c8,multiply(sk_c5,Z_353)) = multiply(identity,Z_353) ),
inference(superposition,[status(thm),theory(equality)],[c_41702,c_41763]) ).
tff(c_41962,plain,
! [Z_360] : ( multiply(sk_c8,multiply(sk_c5,Z_360)) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41796]) ).
tff(c_41974,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41748,c_41962]) ).
tff(c_41820,plain,
! [X_2,Z_353] : ( multiply(inverse(X_2),multiply(X_2,Z_353)) = multiply(identity,Z_353) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41763]) ).
tff(c_42394,plain,
! [X_371,Z_372] : ( multiply(inverse(X_371),multiply(X_371,Z_372)) = Z_372 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41820]) ).
tff(c_42478,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_41974,c_42394]) ).
tff(c_42582,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42478]) ).
tff(c_42637,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_42582,c_41974]) ).
tff(c_42649,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_42068,c_42637]) ).
tff(c_41817,plain,
! [Z_353] : ( multiply(sk_c10,multiply(sk_c2,Z_353)) = multiply(identity,Z_353) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_41763]) ).
tff(c_41939,plain,
! [Z_359] : ( multiply(sk_c10,multiply(sk_c2,Z_359)) = Z_359 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41817]) ).
tff(c_41951,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_157,c_41939]) ).
tff(c_42487,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_41951,c_42394]) ).
tff(c_42583,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42487]) ).
tff(c_104,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c9,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_41661,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_104]) ).
tff(c_42619,plain,
multiply(identity,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_42583,c_41661]) ).
tff(c_42626,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42619]) ).
tff(c_42690,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42582,c_42626]) ).
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_41728,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_41645,c_20]) ).
tff(c_41790,plain,
! [Z_353] : ( multiply(sk_c8,multiply(sk_c10,Z_353)) = multiply(sk_c11,Z_353) ),
inference(superposition,[status(thm),theory(equality)],[c_41728,c_41763]) ).
tff(c_42809,plain,
! [Z_375] : ( multiply(sk_c7,Z_375) = Z_375 ),
inference(demodulation,[status(thm),theory(equality)],[c_42649,c_2,c_42690,c_2,c_42582,c_41790]) ).
tff(c_41808,plain,
! [Z_353] : ( multiply(sk_c6,multiply(sk_c7,Z_353)) = multiply(identity,Z_353) ),
inference(superposition,[status(thm),theory(equality)],[c_41649,c_41763]) ).
tff(c_41832,plain,
! [Z_353] : ( multiply(sk_c6,multiply(sk_c7,Z_353)) = Z_353 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41808]) ).
tff(c_42232,plain,
! [Z_369] : ( multiply(sk_c8,Z_369) = multiply(sk_c7,Z_369) ),
inference(superposition,[status(thm),theory(equality)],[c_41832,c_42050]) ).
tff(c_42292,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41680,c_42232]) ).
tff(c_42818,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_42809,c_42292]) ).
tff(c_42806,plain,
! [Z_353] : ( multiply(sk_c7,Z_353) = Z_353 ),
inference(demodulation,[status(thm),theory(equality)],[c_42649,c_2,c_42690,c_2,c_42582,c_41790]) ).
tff(c_42274,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_42068,c_42232]) ).
tff(c_42807,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42806,c_42274]) ).
tff(c_42845,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42807,c_41644]) ).
tff(c_42893,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42818,c_42845]) ).
tff(c_42841,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42807,c_42649]) ).
tff(c_41851,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_41661,c_108]) ).
tff(c_41915,plain,
! [X3_358] :
( ( inverse(X3_358) != sk_c11 )
| ( multiply(X3_358,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_41851]) ).
tff(c_41925,plain,
inverse(sk_c3) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_41743,c_41915]) ).
tff(c_41937,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41714,c_41925]) ).
tff(c_41938,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_41851]) ).
tff(c_42162,plain,
! [X7_366,X5_367] :
( ( inverse(multiply(X7_366,inverse(X5_367))) != inverse(X5_367) )
| ( multiply(X7_366,inverse(X5_367)) != inverse(X7_366) )
| ( multiply(inverse(X5_367),sk_c10) != sk_c11 )
| ( multiply(X5_367,inverse(X5_367)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_41938]) ).
tff(c_42169,plain,
! [X7_366] :
( ( inverse(multiply(X7_366,sk_c8)) != inverse(sk_c5) )
| ( multiply(X7_366,inverse(sk_c5)) != inverse(X7_366) )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_41698,c_42162]) ).
tff(c_42190,plain,
! [X7_366] :
( ( inverse(multiply(X7_366,sk_c8)) != sk_c8 )
| ( multiply(X7_366,sk_c8) != inverse(X7_366) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41748,c_41698,c_41728,c_41698,c_41698,c_41698,c_42169]) ).
tff(c_42970,plain,
! [X7_377] :
( ( inverse(multiply(X7_377,identity)) != identity )
| ( multiply(X7_377,identity) != inverse(X7_377) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42841,c_42841,c_42841,c_42190]) ).
tff(c_42981,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_42970]) ).
tff(c_42990,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42893,c_42893,c_4,c_42893,c_42981]) ).
tff(c_42991,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_41938]) ).
tff(c_43286,plain,
! [X4_384] :
( ( inverse(X4_384) != sk_c10 )
| ( multiply(X4_384,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_42991]) ).
tff(c_43300,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_41753,c_43286]) ).
tff(c_43321,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41690,c_43300]) ).
tff(c_43322,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_42991]) ).
tff(c_43590,plain,
! [X2_389] :
( ( inverse(X2_389) != sk_c10 )
| ( multiply(X2_389,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_43322]) ).
tff(c_43607,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_41753,c_43590]) ).
tff(c_43630,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41690,c_43607]) ).
tff(c_43717,plain,
! [X1_391] :
( ( inverse(X1_391) != sk_c11 )
| ( multiply(X1_391,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_43322]) ).
tff(c_43734,plain,
inverse(sk_c3) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_41743,c_43717]) ).
tff(c_43748,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41714,c_43734]) ).
tff(c_43750,plain,
multiply(sk_c9,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_43794,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_43750,c_98]) ).
tff(c_43798,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43794,c_4]) ).
tff(c_43857,plain,
! [X_392,Y_393,Z_394] : ( multiply(multiply(X_392,Y_393),Z_394) = multiply(X_392,multiply(Y_393,Z_394)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_43887,plain,
! [Z_394] : ( multiply(sk_c8,multiply(sk_c5,Z_394)) = multiply(identity,Z_394) ),
inference(superposition,[status(thm),theory(equality)],[c_43798,c_43857]) ).
tff(c_44008,plain,
! [Z_398] : ( multiply(sk_c8,multiply(sk_c5,Z_398)) = Z_398 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43887]) ).
tff(c_44020,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43828,c_44008]) ).
tff(c_43911,plain,
! [X_2,Z_394] : ( multiply(inverse(X_2),multiply(X_2,Z_394)) = multiply(identity,Z_394) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_43857]) ).
tff(c_44039,plain,
! [X_399,Z_400] : ( multiply(inverse(X_399),multiply(X_399,Z_400)) = Z_400 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43911]) ).
tff(c_44060,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_44020,c_44039]) ).
tff(c_44154,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44060]) ).
tff(c_43908,plain,
! [Z_394] : ( multiply(sk_c10,multiply(sk_c2,Z_394)) = multiply(identity,Z_394) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_43857]) ).
tff(c_43941,plain,
! [Z_396] : ( multiply(sk_c10,multiply(sk_c2,Z_396)) = Z_396 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43908]) ).
tff(c_43953,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_157,c_43941]) ).
tff(c_44075,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_43953,c_44039]) ).
tff(c_44157,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44075]) ).
tff(c_44173,plain,
multiply(identity,sk_c10) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_44157,c_43750]) ).
tff(c_44179,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44173]) ).
tff(c_44198,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_44154,c_44179]) ).
tff(c_90,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c9,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_43765,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_43750,c_90]) ).
tff(c_43822,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_41645,c_8]) ).
tff(c_44096,plain,
multiply(inverse(sk_c3),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_43822,c_44039]) ).
tff(c_44161,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_43765,c_44096]) ).
tff(c_44256,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44154,c_2,c_44154,c_44161]) ).
tff(c_44257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44198,c_44256]) ).
tff(c_44259,plain,
multiply(sk_c2,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_50]) ).
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_47516,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_44259,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_44287,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_44259,c_58]) ).
tff(c_44291,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44287,c_4]) ).
tff(c_47543,plain,
! [X_452,Y_453,Z_454] : ( multiply(multiply(X_452,Y_453),Z_454) = multiply(X_452,multiply(Y_453,Z_454)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_47582,plain,
! [Z_454] : ( multiply(sk_c8,multiply(sk_c5,Z_454)) = multiply(identity,Z_454) ),
inference(superposition,[status(thm),theory(equality)],[c_44291,c_47543]) ).
tff(c_47807,plain,
! [Z_463] : ( multiply(sk_c8,multiply(sk_c5,Z_463)) = Z_463 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47582]) ).
tff(c_47819,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_47516,c_47807]) ).
tff(c_47950,plain,
! [Z_468] : ( multiply(sk_c5,multiply(sk_c8,Z_468)) = multiply(sk_c11,Z_468) ),
inference(superposition,[status(thm),theory(equality)],[c_47516,c_47543]) ).
tff(c_47968,plain,
multiply(sk_c5,sk_c8) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_47819,c_47950]) ).
tff(c_47990,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_47516,c_47968]) ).
tff(c_44355,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_44259,c_56]) ).
tff(c_44382,plain,
! [X_402,Y_403,Z_404] : ( multiply(multiply(X_402,Y_403),Z_404) = multiply(X_402,multiply(Y_403,Z_404)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_44424,plain,
! [Z_404] : ( multiply(sk_c8,multiply(sk_c5,Z_404)) = multiply(identity,Z_404) ),
inference(superposition,[status(thm),theory(equality)],[c_44291,c_44382]) ).
tff(c_44711,plain,
! [Z_417] : ( multiply(sk_c8,multiply(sk_c5,Z_417)) = Z_417 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44424]) ).
tff(c_44723,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_44355,c_44711]) ).
tff(c_44439,plain,
! [X_2,Z_404] : ( multiply(inverse(X_2),multiply(X_2,Z_404)) = multiply(identity,Z_404) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_44382]) ).
tff(c_46949,plain,
! [X_447,Z_448] : ( multiply(inverse(X_447),multiply(X_447,Z_448)) = Z_448 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44439]) ).
tff(c_47009,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_44723,c_46949]) ).
tff(c_47108,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_47009]) ).
tff(c_44258,plain,
inverse(sk_c3) = sk_c11,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_47140,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47108,c_44258]) ).
tff(c_47261,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47140,c_4]) ).
tff(c_44454,plain,
! [X_2,Z_404] : ( multiply(inverse(X_2),multiply(X_2,Z_404)) = Z_404 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44439]) ).
tff(c_47278,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_47261,c_44454]) ).
tff(c_47290,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_47278]) ).
tff(c_47294,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47290,c_47140]) ).
tff(c_44350,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_44433,plain,
! [Z_404] : ( multiply(sk_c11,multiply(sk_c1,Z_404)) = multiply(identity,Z_404) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_44382]) ).
tff(c_44456,plain,
! [Z_405] : ( multiply(sk_c11,multiply(sk_c1,Z_405)) = Z_405 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44433]) ).
tff(c_44468,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_44350,c_44456]) ).
tff(c_47027,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_44468,c_46949]) ).
tff(c_47109,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_47027]) ).
tff(c_47160,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47109,c_125]) ).
tff(c_62,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_44325,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_44259,c_62]) ).
tff(c_44329,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44325,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_44313,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_44259,c_64]) ).
tff(c_44317,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44313,c_4]) ).
tff(c_44418,plain,
! [Z_404] : ( multiply(sk_c8,multiply(sk_c6,Z_404)) = multiply(identity,Z_404) ),
inference(superposition,[status(thm),theory(equality)],[c_44317,c_44382]) ).
tff(c_44665,plain,
! [Z_415] : ( multiply(sk_c8,multiply(sk_c6,Z_415)) = Z_415 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44418]) ).
tff(c_44677,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_44329,c_44665]) ).
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_44368,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_44259,c_60]) ).
tff(c_46873,plain,
! [Z_446] : ( multiply(sk_c8,multiply(sk_c10,Z_446)) = multiply(sk_c11,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_44368,c_44382]) ).
tff(c_46903,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_129,c_46873]) ).
tff(c_46911,plain,
multiply(sk_c11,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44677,c_46903]) ).
tff(c_47123,plain,
multiply(identity,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_47108,c_46911]) ).
tff(c_47144,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47123]) ).
tff(c_47172,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_47144,c_44325]) ).
tff(c_47333,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47160,c_47172]) ).
tff(c_47131,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_47108,c_44723]) ).
tff(c_47148,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44677,c_47131]) ).
tff(c_47213,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_47144,c_47148]) ).
tff(c_47219,plain,
inverse(sk_c6) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_47213,c_44313]) ).
tff(c_47344,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_47333,c_47219]) ).
tff(c_47418,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47294,c_47344]) ).
tff(c_44277,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_102]) ).
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_44343,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_44259,c_52]) ).
tff(c_45727,plain,
! [Z_433] : ( multiply(sk_c1,multiply(sk_c11,Z_433)) = multiply(sk_c10,Z_433) ),
inference(superposition,[status(thm),theory(equality)],[c_44350,c_44382]) ).
tff(c_45745,plain,
multiply(sk_c10,sk_c10) = multiply(sk_c1,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_44468,c_45727]) ).
tff(c_45758,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_44350,c_45745]) ).
tff(c_46775,plain,
! [Z_445] : ( multiply(sk_c4,multiply(sk_c10,Z_445)) = multiply(sk_c9,Z_445) ),
inference(superposition,[status(thm),theory(equality)],[c_44343,c_44382]) ).
tff(c_46793,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c4,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_45758,c_46775]) ).
tff(c_46812,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_44277,c_44343,c_46793]) ).
tff(c_46821,plain,
multiply(sk_c2,sk_c10) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_46812,c_44259]) ).
tff(c_47125,plain,
multiply(sk_c2,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_47108,c_46821]) ).
tff(c_47509,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47418,c_47109,c_47125]) ).
tff(c_47510,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_44263,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44258,c_4]) ).
tff(c_47588,plain,
! [Z_454] : ( multiply(sk_c11,multiply(sk_c3,Z_454)) = multiply(identity,Z_454) ),
inference(superposition,[status(thm),theory(equality)],[c_44263,c_47543]) ).
tff(c_47852,plain,
! [Z_465] : ( multiply(sk_c11,multiply(sk_c3,Z_465)) = Z_465 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47588]) ).
tff(c_47864,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_47510,c_47852]) ).
tff(c_47522,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_44259,c_60]) ).
tff(c_47980,plain,
multiply(sk_c5,sk_c11) = multiply(sk_c11,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_47522,c_47950]) ).
tff(c_47991,plain,
multiply(sk_c5,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_47864,c_47980]) ).
tff(c_47608,plain,
! [Z_454] : ( multiply(sk_c8,multiply(sk_c5,Z_454)) = Z_454 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47582]) ).
tff(c_47995,plain,
multiply(sk_c8,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_47991,c_47608]) ).
tff(c_48016,plain,
sk_c8 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_47995,c_47819]) ).
tff(c_47511,plain,
multiply(sk_c1,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_26,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_47531,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_47511,c_26]) ).
tff(c_47573,plain,
! [Z_454] : ( multiply(sk_c6,multiply(sk_c7,Z_454)) = multiply(identity,Z_454) ),
inference(superposition,[status(thm),theory(equality)],[c_44329,c_47543]) ).
tff(c_47883,plain,
! [Z_466] : ( multiply(sk_c6,multiply(sk_c7,Z_466)) = Z_466 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47573]) ).
tff(c_47898,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_47531,c_47883]) ).
tff(c_47576,plain,
! [Z_454] : ( multiply(sk_c8,multiply(sk_c6,Z_454)) = multiply(identity,Z_454) ),
inference(superposition,[status(thm),theory(equality)],[c_44317,c_47543]) ).
tff(c_47606,plain,
! [Z_454] : ( multiply(sk_c8,multiply(sk_c6,Z_454)) = Z_454 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47576]) ).
tff(c_47905,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_47898,c_47606]) ).
tff(c_48030,plain,
multiply(sk_c11,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_48016,c_48016,c_47905]) ).
tff(c_48043,plain,
sk_c6 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_47990,c_48030]) ).
tff(c_48038,plain,
multiply(sk_c11,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48016,c_44317]) ).
tff(c_48146,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47990,c_48043,c_48038]) ).
tff(c_48155,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48146,c_48016]) ).
tff(c_47561,plain,
! [Z_454] : ( multiply(sk_c8,multiply(sk_c10,Z_454)) = multiply(sk_c11,Z_454) ),
inference(superposition,[status(thm),theory(equality)],[c_47522,c_47543]) ).
tff(c_48395,plain,
! [Z_454] : ( multiply(sk_c10,Z_454) = Z_454 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48155,c_2,c_48146,c_47561]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_44300,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_44259,c_54]) ).
tff(c_44304,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44300,c_4]) ).
tff(c_47579,plain,
! [Z_454] : ( multiply(sk_c10,multiply(sk_c4,Z_454)) = multiply(identity,Z_454) ),
inference(superposition,[status(thm),theory(equality)],[c_44304,c_47543]) ).
tff(c_47920,plain,
! [Z_467] : ( multiply(sk_c10,multiply(sk_c4,Z_467)) = Z_467 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47579]) ).
tff(c_47935,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_44343,c_47920]) ).
tff(c_47597,plain,
! [X_2,Z_454] : ( multiply(inverse(X_2),multiply(X_2,Z_454)) = multiply(identity,Z_454) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47543]) ).
tff(c_48179,plain,
! [X_471,Z_472] : ( multiply(inverse(X_471),multiply(X_471,Z_472)) = Z_472 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47597]) ).
tff(c_48197,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_47935,c_48179]) ).
tff(c_48231,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48197]) ).
tff(c_48235,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_48231,c_47935]) ).
tff(c_48396,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48395,c_48235]) ).
tff(c_48170,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48146,c_137]) ).
tff(c_48331,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48170,c_4]) ).
tff(c_47612,plain,
! [X_2,Z_454] : ( multiply(inverse(X_2),multiply(X_2,Z_454)) = Z_454 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47597]) ).
tff(c_48369,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_48331,c_47612]) ).
tff(c_48381,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48369]) ).
tff(c_48164,plain,
multiply(sk_c1,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_48146,c_47511]) ).
tff(c_48494,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48396,c_2,c_48381,c_48164]) ).
tff(c_48496,plain,
multiply(sk_c9,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_48990,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_48496,c_96]) ).
tff(c_48522,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_44259,c_58]) ).
tff(c_48526,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48522,c_4]) ).
tff(c_49011,plain,
! [X_484,Y_485,Z_486] : ( multiply(multiply(X_484,Y_485),Z_486) = multiply(X_484,multiply(Y_485,Z_486)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_49044,plain,
! [Z_486] : ( multiply(sk_c8,multiply(sk_c5,Z_486)) = multiply(identity,Z_486) ),
inference(superposition,[status(thm),theory(equality)],[c_48526,c_49011]) ).
tff(c_49105,plain,
! [Z_489] : ( multiply(sk_c8,multiply(sk_c5,Z_489)) = Z_489 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49044]) ).
tff(c_49117,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_48990,c_49105]) ).
tff(c_49062,plain,
! [X_2,Z_486] : ( multiply(inverse(X_2),multiply(X_2,Z_486)) = multiply(identity,Z_486) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_49011]) ).
tff(c_49236,plain,
! [X_493,Z_494] : ( multiply(inverse(X_493),multiply(X_493,Z_494)) = Z_494 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49062]) ).
tff(c_49275,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_49117,c_49236]) ).
tff(c_49360,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49275]) ).
tff(c_48971,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_44259,c_52]) ).
tff(c_94,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c9,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_48539,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_48496,c_94]) ).
tff(c_48543,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48539,c_4]) ).
tff(c_49041,plain,
! [Z_486] : ( multiply(sk_c10,multiply(sk_c4,Z_486)) = multiply(identity,Z_486) ),
inference(superposition,[status(thm),theory(equality)],[c_48543,c_49011]) ).
tff(c_49128,plain,
! [Z_490] : ( multiply(sk_c10,multiply(sk_c4,Z_490)) = Z_490 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49041]) ).
tff(c_49140,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_48971,c_49128]) ).
tff(c_49269,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_49140,c_49236]) ).
tff(c_49359,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49269]) ).
tff(c_49373,plain,
multiply(identity,sk_c10) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_49359,c_48496]) ).
tff(c_49375,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49373]) ).
tff(c_49395,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_49360,c_49375]) ).
tff(c_48563,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_48607,plain,
! [X_475,Y_476,Z_477] : ( multiply(multiply(X_475,Y_476),Z_477) = multiply(X_475,multiply(Y_476,Z_477)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_48655,plain,
! [Z_477] : ( multiply(sk_c11,multiply(sk_c1,Z_477)) = multiply(identity,Z_477) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_48607]) ).
tff(c_48678,plain,
! [Z_478] : ( multiply(sk_c11,multiply(sk_c1,Z_478)) = Z_478 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48655]) ).
tff(c_48690,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_48563,c_48678]) ).
tff(c_48661,plain,
! [X_2,Z_477] : ( multiply(inverse(X_2),multiply(X_2,Z_477)) = multiply(identity,Z_477) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_48607]) ).
tff(c_48737,plain,
! [X_481,Z_482] : ( multiply(inverse(X_481),multiply(X_481,Z_482)) = Z_482 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48661]) ).
tff(c_48764,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_48690,c_48737]) ).
tff(c_48841,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48764]) ).
tff(c_48575,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_44259,c_52]) ).
tff(c_48640,plain,
! [Z_477] : ( multiply(sk_c10,multiply(sk_c4,Z_477)) = multiply(identity,Z_477) ),
inference(superposition,[status(thm),theory(equality)],[c_48543,c_48607]) ).
tff(c_48714,plain,
! [Z_480] : ( multiply(sk_c10,multiply(sk_c4,Z_480)) = Z_480 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48640]) ).
tff(c_48726,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_48575,c_48714]) ).
tff(c_48755,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_48726,c_48737]) ).
tff(c_48840,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48755]) ).
tff(c_48853,plain,
multiply(identity,sk_c10) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_48840,c_48496]) ).
tff(c_48855,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48853]) ).
tff(c_48874,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_48841,c_48855]) ).
tff(c_48582,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_48496,c_96]) ).
tff(c_48779,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_48582,c_48737]) ).
tff(c_48843,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_48522,c_48779]) ).
tff(c_48676,plain,
! [X_2,Z_477] : ( multiply(inverse(X_2),multiply(X_2,Z_477)) = Z_477 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48661]) ).
tff(c_48956,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_48843,c_48676]) ).
tff(c_48962,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48956]) ).
tff(c_48964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48874,c_48962]) ).
tff(c_48966,plain,
multiply(sk_c1,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_48983,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_48966,c_8]) ).
tff(c_49293,plain,
multiply(inverse(sk_c3),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_48983,c_49236]) ).
tff(c_49362,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_44258,c_49293]) ).
tff(c_49453,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49360,c_2,c_49360,c_49362]) ).
tff(c_49454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49395,c_49453]) ).
tff(c_49456,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_49556,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_49456,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_49496,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_49456,c_38]) ).
tff(c_49500,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49496,c_4]) ).
tff(c_49580,plain,
! [X_496,Y_497,Z_498] : ( multiply(multiply(X_496,Y_497),Z_498) = multiply(X_496,multiply(Y_497,Z_498)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_49613,plain,
! [Z_498] : ( multiply(sk_c8,multiply(sk_c5,Z_498)) = multiply(identity,Z_498) ),
inference(superposition,[status(thm),theory(equality)],[c_49500,c_49580]) ).
tff(c_50426,plain,
! [Z_513] : ( multiply(sk_c8,multiply(sk_c5,Z_513)) = Z_513 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49613]) ).
tff(c_50438,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_49556,c_50426]) ).
tff(c_49595,plain,
! [Z_498] : ( multiply(sk_c5,multiply(sk_c8,Z_498)) = multiply(sk_c11,Z_498) ),
inference(superposition,[status(thm),theory(equality)],[c_49556,c_49580]) ).
tff(c_50480,plain,
multiply(sk_c5,sk_c8) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_50438,c_49595]) ).
tff(c_50486,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_49556,c_50480]) ).
tff(c_28,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_49551,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_49456,c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_49508,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_49456,c_30]) ).
tff(c_49512,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49508,c_4]) ).
tff(c_49610,plain,
! [Z_498] : ( multiply(sk_c11,multiply(sk_c3,Z_498)) = multiply(identity,Z_498) ),
inference(superposition,[status(thm),theory(equality)],[c_49512,c_49580]) ).
tff(c_49644,plain,
! [Z_499] : ( multiply(sk_c11,multiply(sk_c3,Z_499)) = Z_499 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49610]) ).
tff(c_49656,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_49551,c_49644]) ).
tff(c_40,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_49526,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_49456,c_40]) ).
tff(c_50442,plain,
! [Z_514] : ( multiply(sk_c5,multiply(sk_c8,Z_514)) = multiply(sk_c11,Z_514) ),
inference(superposition,[status(thm),theory(equality)],[c_49556,c_49580]) ).
tff(c_50466,plain,
multiply(sk_c5,sk_c11) = multiply(sk_c11,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_49526,c_50442]) ).
tff(c_50476,plain,
multiply(sk_c5,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_49656,c_50466]) ).
tff(c_49637,plain,
! [Z_498] : ( multiply(sk_c8,multiply(sk_c5,Z_498)) = Z_498 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49613]) ).
tff(c_50491,plain,
multiply(sk_c8,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_50476,c_49637]) ).
tff(c_50505,plain,
sk_c8 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_50491,c_50438]) ).
tff(c_46,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_49535,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_49456,c_46]) ).
tff(c_50523,plain,
multiply(sk_c7,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50505,c_49535]) ).
tff(c_49455,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_49460,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49455,c_4]) ).
tff(c_49622,plain,
! [Z_498] : ( multiply(sk_c6,multiply(sk_c7,Z_498)) = multiply(identity,Z_498) ),
inference(superposition,[status(thm),theory(equality)],[c_49460,c_49580]) ).
tff(c_51416,plain,
! [Z_532] : ( multiply(sk_c6,multiply(sk_c7,Z_532)) = Z_532 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49622]) ).
tff(c_51428,plain,
multiply(sk_c6,sk_c6) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_50523,c_51416]) ).
tff(c_44,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_49484,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_49456,c_44]) ).
tff(c_49488,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49484,c_4]) ).
tff(c_49616,plain,
! [Z_498] : ( multiply(sk_c8,multiply(sk_c6,Z_498)) = multiply(identity,Z_498) ),
inference(superposition,[status(thm),theory(equality)],[c_49488,c_49580]) ).
tff(c_49638,plain,
! [Z_498] : ( multiply(sk_c8,multiply(sk_c6,Z_498)) = Z_498 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49616]) ).
tff(c_51660,plain,
! [Z_538] : ( multiply(sk_c11,multiply(sk_c6,Z_538)) = Z_538 ),
inference(demodulation,[status(thm),theory(equality)],[c_50505,c_49638]) ).
tff(c_51672,plain,
multiply(sk_c11,sk_c11) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_51428,c_51660]) ).
tff(c_51682,plain,
sk_c6 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_50486,c_51672]) ).
tff(c_50528,plain,
inverse(sk_c6) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_50505,c_49484]) ).
tff(c_51211,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50528,c_4]) ).
tff(c_51732,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51682,c_51211]) ).
tff(c_51851,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51732,c_50486]) ).
tff(c_51870,plain,
multiply(identity,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51851,c_51851,c_49656]) ).
tff(c_51965,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_51870,c_2]) ).
tff(c_51734,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_51682,c_50528]) ).
tff(c_51863,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51851,c_51851,c_51734]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_49469,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_49456,c_34]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_49541,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_49456,c_32]) ).
tff(c_49628,plain,
! [X_2,Z_498] : ( multiply(inverse(X_2),multiply(X_2,Z_498)) = multiply(identity,Z_498) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_49580]) ).
tff(c_50741,plain,
! [X_521,Z_522] : ( multiply(inverse(X_521),multiply(X_521,Z_522)) = Z_522 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49628]) ).
tff(c_50810,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_49656,c_50741]) ).
tff(c_50864,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50810]) ).
tff(c_49473,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49469,c_4]) ).
tff(c_49619,plain,
! [Z_498] : ( multiply(sk_c10,multiply(sk_c4,Z_498)) = multiply(identity,Z_498) ),
inference(superposition,[status(thm),theory(equality)],[c_49473,c_49580]) ).
tff(c_50708,plain,
! [Z_520] : ( multiply(sk_c10,multiply(sk_c4,Z_520)) = Z_520 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49619]) ).
tff(c_50726,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_49541,c_50708]) ).
tff(c_50759,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_50726,c_50741]) ).
tff(c_50856,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50759]) ).
tff(c_49813,plain,
! [X_506,Z_507] : ( multiply(inverse(X_506),multiply(X_506,Z_507)) = Z_507 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49628]) ).
tff(c_49864,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_49656,c_49813]) ).
tff(c_49936,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49864]) ).
tff(c_49879,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_49541,c_49813]) ).
tff(c_49939,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_49469,c_49879]) ).
tff(c_50097,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49936,c_2,c_49936,c_49939]) ).
tff(c_49705,plain,
! [Z_502] : ( multiply(sk_c8,multiply(sk_c5,Z_502)) = Z_502 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49613]) ).
tff(c_49717,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_49556,c_49705]) ).
tff(c_49849,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_49717,c_49813]) ).
tff(c_49935,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49849]) ).
tff(c_49704,plain,
multiply(sk_c9,sk_c10) != sk_c11,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_49950,plain,
multiply(sk_c9,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_49935,c_49704]) ).
tff(c_50416,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50097,c_49936,c_49950]) ).
tff(c_50418,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_50876,plain,
multiply(identity,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_50856,c_50418]) ).
tff(c_50881,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50876]) ).
tff(c_50899,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50864,c_50881]) ).
tff(c_50646,plain,
! [Z_518] : ( multiply(sk_c6,multiply(sk_c7,Z_518)) = Z_518 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49622]) ).
tff(c_50658,plain,
multiply(sk_c6,sk_c6) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_50523,c_50646]) ).
tff(c_50774,plain,
multiply(inverse(sk_c6),sk_c11) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_50658,c_50741]) ).
tff(c_50858,plain,
sk_c6 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_50486,c_50528,c_50774]) ).
tff(c_50968,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50899,c_50858]) ).
tff(c_49667,plain,
! [Z_500] : ( multiply(sk_c8,multiply(sk_c6,Z_500)) = Z_500 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49616]) ).
tff(c_49679,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_49460,c_49667]) ).
tff(c_50520,plain,
multiply(sk_c11,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_50505,c_49679]) ).
tff(c_50901,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_50899,c_50520]) ).
tff(c_50913,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50901]) ).
tff(c_50961,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_50913,c_49455]) ).
tff(c_50984,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50968,c_50961]) ).
tff(c_50417,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_50593,plain,
! [X7_515,X5_516] :
( ( inverse(multiply(X7_515,inverse(X5_516))) != inverse(X5_516) )
| ( multiply(X7_515,inverse(X5_516)) != inverse(X7_515) )
| ( multiply(inverse(X5_516),sk_c10) != sk_c11 )
| ( multiply(X5_516,inverse(X5_516)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_50417]) ).
tff(c_50604,plain,
! [X7_515] :
( ( inverse(multiply(X7_515,sk_c10)) != inverse(sk_c4) )
| ( multiply(X7_515,inverse(sk_c4)) != inverse(X7_515) )
| ( multiply(inverse(sk_c4),sk_c10) != sk_c11 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_49469,c_50593]) ).
tff(c_50622,plain,
! [X7_515] :
( ( inverse(multiply(X7_515,sk_c10)) != sk_c10 )
| ( multiply(X7_515,sk_c10) != inverse(X7_515) )
| ( multiply(sk_c10,sk_c10) != sk_c11 )
| ( sk_c9 != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49541,c_49469,c_49469,c_49469,c_49469,c_50604]) ).
tff(c_51183,plain,
! [X7_525] :
( ( inverse(multiply(X7_525,identity)) != identity )
| ( multiply(X7_525,identity) != inverse(X7_525) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50899,c_50856,c_50899,c_50864,c_2,c_50864,c_50864,c_50864,c_50864,c_50622]) ).
tff(c_51191,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51183]) ).
tff(c_51199,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50984,c_50984,c_4,c_50984,c_51191]) ).
tff(c_51200,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_50417]) ).
tff(c_51367,plain,
! [X3_530] :
( ( inverse(X3_530) != sk_c11 )
| ( multiply(X3_530,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_51200]) ).
tff(c_51384,plain,
inverse(sk_c3) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_49551,c_51367]) ).
tff(c_51399,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49508,c_51384]) ).
tff(c_51400,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_51200]) ).
tff(c_51618,plain,
! [X2_537] :
( ( inverse(X2_537) != sk_c10 )
| ( multiply(X2_537,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_51400]) ).
tff(c_51635,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_49541,c_51618]) ).
tff(c_51649,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49469,c_51635]) ).
tff(c_51650,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_51400]) ).
tff(c_51818,plain,
! [X4_540] :
( ( inverse(X4_540) != sk_c10 )
| ( multiply(X4_540,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_51650]) ).
tff(c_51829,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_49541,c_51818]) ).
tff(c_51841,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49469,c_51829]) ).
tff(c_51842,plain,
! [X1_10] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_51650]) ).
tff(c_51903,plain,
! [X1_541] :
( ( inverse(X1_541) != identity )
| ( multiply(X1_541,identity) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51851,c_51851,c_51842]) ).
tff(c_51919,plain,
( ( inverse(identity) != identity )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_51903]) ).
tff(c_52181,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_51965,c_51863,c_51919]) ).
tff(c_52183,plain,
inverse(sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_68,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_52275,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_52183,c_68]) ).
tff(c_70,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_52234,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_52183,c_70]) ).
tff(c_52238,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52234,c_4]) ).
tff(c_52352,plain,
! [Z_546] : ( multiply(sk_c11,multiply(sk_c3,Z_546)) = multiply(identity,Z_546) ),
inference(superposition,[status(thm),theory(equality)],[c_52238,c_52319]) ).
tff(c_52694,plain,
! [Z_554] : ( multiply(sk_c11,multiply(sk_c3,Z_554)) = Z_554 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52352]) ).
tff(c_52706,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_52275,c_52694]) ).
tff(c_80,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_52266,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_52183,c_80]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_52261,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_52183,c_76]) ).
tff(c_52710,plain,
! [Z_555] : ( multiply(sk_c5,multiply(sk_c8,Z_555)) = multiply(sk_c11,Z_555) ),
inference(superposition,[status(thm),theory(equality)],[c_52261,c_52319]) ).
tff(c_52728,plain,
multiply(sk_c5,sk_c11) = multiply(sk_c11,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_52266,c_52710]) ).
tff(c_52784,plain,
multiply(sk_c5,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_52706,c_52728]) ).
tff(c_52182,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_52187,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52182,c_4]) ).
tff(c_52364,plain,
! [Z_546] : ( multiply(sk_c8,multiply(sk_c5,Z_546)) = multiply(identity,Z_546) ),
inference(superposition,[status(thm),theory(equality)],[c_52187,c_52319]) ).
tff(c_53394,plain,
! [Z_567] : ( multiply(sk_c8,multiply(sk_c5,Z_567)) = Z_567 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52364]) ).
tff(c_53409,plain,
multiply(sk_c8,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_52784,c_53394]) ).
tff(c_53415,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52261,c_53394]) ).
tff(c_53464,plain,
sk_c8 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_53409,c_53415]) ).
tff(c_53476,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_53464,c_53409]) ).
tff(c_86,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_52296,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_52183,c_86]) ).
tff(c_82,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_52207,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_52183,c_82]) ).
tff(c_52211,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52207,c_4]) ).
tff(c_52358,plain,
! [Z_546] : ( multiply(sk_c6,multiply(sk_c7,Z_546)) = multiply(identity,Z_546) ),
inference(superposition,[status(thm),theory(equality)],[c_52211,c_52319]) ).
tff(c_52745,plain,
! [Z_556] : ( multiply(sk_c6,multiply(sk_c7,Z_556)) = Z_556 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52358]) ).
tff(c_52760,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52296,c_52745]) ).
tff(c_84,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_52246,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_52183,c_84]) ).
tff(c_52250,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52246,c_4]) ).
tff(c_52349,plain,
! [Z_546] : ( multiply(sk_c8,multiply(sk_c6,Z_546)) = multiply(identity,Z_546) ),
inference(superposition,[status(thm),theory(equality)],[c_52250,c_52319]) ).
tff(c_52375,plain,
! [Z_546] : ( multiply(sk_c8,multiply(sk_c6,Z_546)) = Z_546 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52349]) ).
tff(c_52767,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_52760,c_52375]) ).
tff(c_53479,plain,
multiply(sk_c11,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_53464,c_53464,c_52767]) ).
tff(c_53770,plain,
sk_c6 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_53476,c_53479]) ).
tff(c_53488,plain,
inverse(sk_c6) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_53464,c_52246]) ).
tff(c_53774,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_53770,c_53488]) ).
tff(c_53786,plain,
multiply(sk_c11,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53774,c_4]) ).
tff(c_53813,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53786,c_53476]) ).
tff(c_52383,plain,
! [Z_547] : ( multiply(sk_c8,multiply(sk_c6,Z_547)) = Z_547 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52349]) ).
tff(c_52395,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_52211,c_52383]) ).
tff(c_53482,plain,
multiply(sk_c11,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53464,c_52395]) ).
tff(c_53829,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53813,c_53482]) ).
tff(c_53844,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53829]) ).
tff(c_53777,plain,
inverse(sk_c7) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_53770,c_52207]) ).
tff(c_53825,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53813,c_53777]) ).
tff(c_54589,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53844,c_53825]) ).
tff(c_74,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_52215,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_52183,c_74]) ).
tff(c_52219,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52215,c_4]) ).
tff(c_53419,plain,
! [Z_568] : ( multiply(sk_c8,multiply(sk_c10,Z_568)) = multiply(sk_c11,Z_568) ),
inference(superposition,[status(thm),theory(equality)],[c_52266,c_52319]) ).
tff(c_53440,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_52219,c_53419]) ).
tff(c_53445,plain,
multiply(sk_c11,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_52395,c_53440]) ).
tff(c_53833,plain,
multiply(identity,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53813,c_53445]) ).
tff(c_53845,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53833]) ).
tff(c_54580,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53844,c_53845]) ).
tff(c_54583,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_54580,c_52215]) ).
tff(c_54630,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54589,c_54583]) ).
tff(c_53900,plain,
! [X_571,Z_572] : ( multiply(inverse(X_571),multiply(X_571,Z_572)) = Z_572 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52367]) ).
tff(c_54113,plain,
! [X_574,Z_575] : ( multiply(inverse(inverse(X_574)),Z_575) = multiply(X_574,Z_575) ),
inference(superposition,[status(thm),theory(equality)],[c_52381,c_53900]) ).
tff(c_53927,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53900]) ).
tff(c_54120,plain,
! [X_574] : ( multiply(X_574,identity) = X_574 ),
inference(superposition,[status(thm),theory(equality)],[c_54113,c_53927]) ).
tff(c_53794,plain,
multiply(sk_c11,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53777,c_4]) ).
tff(c_53864,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53845,c_2,c_53813,c_53794]) ).
tff(c_53869,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_53864,c_52215]) ).
tff(c_53946,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53869,c_53844,c_53825]) ).
tff(c_72,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_52287,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_52183,c_72]) ).
tff(c_53867,plain,
multiply(identity,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_53864,c_52287]) ).
tff(c_53871,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53867]) ).
tff(c_53948,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53946,c_53871]) ).
tff(c_53019,plain,
! [X_562,Z_563] : ( multiply(inverse(X_562),multiply(X_562,Z_563)) = Z_563 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52367]) ).
tff(c_53076,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_52706,c_53019]) ).
tff(c_53131,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53076]) ).
tff(c_52355,plain,
! [Z_546] : ( multiply(sk_c10,multiply(sk_c4,Z_546)) = multiply(identity,Z_546) ),
inference(superposition,[status(thm),theory(equality)],[c_52219,c_52319]) ).
tff(c_52793,plain,
! [Z_557] : ( multiply(sk_c10,multiply(sk_c4,Z_557)) = Z_557 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52355]) ).
tff(c_52805,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_52287,c_52793]) ).
tff(c_53064,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_52805,c_53019]) ).
tff(c_53128,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53064]) ).
tff(c_52460,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_52367]) ).
tff(c_52505,plain,
multiply(inverse(sk_c3),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_52275,c_52460]) ).
tff(c_52561,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_52234,c_52505]) ).
tff(c_52625,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_52561,c_52381]) ).
tff(c_52631,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52625]) ).
tff(c_52502,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_52287,c_52460]) ).
tff(c_52560,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_52215,c_52502]) ).
tff(c_52570,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_52560,c_52381]) ).
tff(c_52576,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52570]) ).
tff(c_52407,plain,
multiply(sk_c9,sk_c10) != sk_c11,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_52579,plain,
multiply(identity,sk_c10) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_52576,c_52407]) ).
tff(c_52581,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52579]) ).
tff(c_52634,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_52631,c_52581]) ).
tff(c_52511,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52261,c_52460]) ).
tff(c_52562,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_52182,c_52511]) ).
tff(c_52676,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_52562,c_52381]) ).
tff(c_52682,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52676]) ).
tff(c_52684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52634,c_52682]) ).
tff(c_52686,plain,
multiply(sk_c9,sk_c10) = sk_c11,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_53139,plain,
multiply(identity,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_53128,c_52686]) ).
tff(c_53141,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53139]) ).
tff(c_53157,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53131,c_53141]) ).
tff(c_52816,plain,
! [Z_558] : ( multiply(sk_c8,multiply(sk_c5,Z_558)) = Z_558 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52364]) ).
tff(c_52831,plain,
multiply(sk_c8,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_52784,c_52816]) ).
tff(c_52837,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52261,c_52816]) ).
tff(c_52886,plain,
sk_c8 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_52831,c_52837]) ).
tff(c_52904,plain,
multiply(sk_c11,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_52886,c_52395]) ).
tff(c_53159,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53157,c_52904]) ).
tff(c_53174,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53159]) ).
tff(c_52841,plain,
! [Z_559] : ( multiply(sk_c8,multiply(sk_c10,Z_559)) = multiply(sk_c11,Z_559) ),
inference(superposition,[status(thm),theory(equality)],[c_52266,c_52319]) ).
tff(c_52862,plain,
multiply(sk_c8,identity) = multiply(sk_c11,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_52219,c_52841]) ).
tff(c_52867,plain,
multiply(sk_c11,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_52395,c_52862]) ).
tff(c_53167,plain,
multiply(identity,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53157,c_52867]) ).
tff(c_53176,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53167]) ).
tff(c_53197,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53174,c_53176]) ).
tff(c_53151,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53131,c_52215]) ).
tff(c_53213,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53197,c_53151]) ).
tff(c_52685,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_52926,plain,
! [X7_560,X5_561] :
( ( inverse(multiply(X7_560,inverse(X5_561))) != inverse(X5_561) )
| ( multiply(X7_560,inverse(X5_561)) != inverse(X7_560) )
| ( multiply(inverse(X5_561),sk_c10) != sk_c11 )
| ( multiply(X5_561,inverse(X5_561)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_52685]) ).
tff(c_52935,plain,
! [X7_560] :
( ( inverse(multiply(X7_560,sk_c10)) != inverse(sk_c4) )
| ( multiply(X7_560,inverse(sk_c4)) != inverse(X7_560) )
| ( multiply(inverse(sk_c4),sk_c10) != sk_c11 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_52215,c_52926]) ).
tff(c_52951,plain,
! [X7_560] :
( ( inverse(multiply(X7_560,sk_c10)) != sk_c10 )
| ( multiply(X7_560,sk_c10) != inverse(X7_560) )
| ( multiply(sk_c10,sk_c10) != sk_c11 )
| ( sk_c9 != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52287,c_52215,c_52215,c_52215,c_52215,c_52935]) ).
tff(c_53349,plain,
! [X7_565] :
( ( inverse(multiply(X7_565,identity)) != identity )
| ( multiply(X7_565,identity) != inverse(X7_565) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53157,c_53128,c_53157,c_53131,c_2,c_53131,c_53131,c_53131,c_53131,c_52951]) ).
tff(c_53360,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53349]) ).
tff(c_53369,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53213,c_53213,c_4,c_53213,c_53360]) ).
tff(c_53370,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_52685]) ).
tff(c_53563,plain,
! [X3_569] :
( ( inverse(X3_569) != sk_c11 )
| ( multiply(X3_569,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_53370]) ).
tff(c_53579,plain,
inverse(sk_c3) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_52275,c_53563]) ).
tff(c_53594,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52234,c_53579]) ).
tff(c_53595,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_53370]) ).
tff(c_53742,plain,
! [X2_570] :
( ( inverse(X2_570) != sk_c10 )
| ( multiply(X2_570,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_53595]) ).
tff(c_53749,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_52287,c_53742]) ).
tff(c_53761,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52215,c_53749]) ).
tff(c_53762,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_53595]) ).
tff(c_53850,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_53813,c_53813,c_53762]) ).
tff(c_53851,plain,
! [X4_13] :
( ( inverse(X4_13) != sk_c10 )
| ( multiply(X4_13,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_53850]) ).
tff(c_54511,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_54120,c_53948,c_53946,c_53946,c_53851]) ).
tff(c_53947,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53946,c_53869]) ).
tff(c_54513,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54511,c_53947]) ).
tff(c_54514,plain,
! [X1_10] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_53850]) ).
tff(c_55186,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_54801,c_54630,c_54514]) ).
tff(c_55188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55186,c_54589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP263-1 : 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 : n006.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 22:16:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 16.76/6.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.76/6.16
% 16.76/6.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.86/6.24
% 16.86/6.24 Inference rules
% 16.86/6.24 ----------------------
% 16.86/6.24 #Ref : 0
% 16.86/6.24 #Sup : 13692
% 16.86/6.24 #Fact : 0
% 16.86/6.24 #Define : 0
% 16.86/6.24 #Split : 36
% 16.86/6.24 #Chain : 0
% 16.86/6.24 #Close : 0
% 16.86/6.24
% 16.86/6.24 Ordering : KBO
% 16.86/6.24
% 16.86/6.24 Simplification rules
% 16.86/6.24 ----------------------
% 16.86/6.24 #Subsume : 6
% 16.86/6.24 #Demod : 39002
% 16.86/6.24 #Tautology : 10925
% 16.86/6.24 #SimpNegUnit : 111
% 16.86/6.24 #BackRed : 823
% 16.86/6.24
% 16.86/6.24 #Partial instantiations: 0
% 16.86/6.24 #Strategies tried : 1
% 16.86/6.24
% 16.86/6.24 Timing (in seconds)
% 16.86/6.24 ----------------------
% 16.86/6.24 Preprocessing : 0.55
% 16.86/6.24 Parsing : 0.20
% 16.86/6.24 CNF conversion : 0.03
% 16.86/6.24 Main loop : 4.55
% 16.86/6.24 Inferencing : 1.30
% 16.86/6.24 Reduction : 2.48
% 16.86/6.25 Demodulation : 2.26
% 16.86/6.25 BG Simplification : 0.11
% 16.86/6.25 Subsumption : 0.44
% 16.86/6.25 Abstraction : 0.27
% 16.86/6.25 MUC search : 0.00
% 16.86/6.25 Cooper : 0.00
% 16.86/6.25 Total : 5.25
% 16.86/6.25 Index Insertion : 0.00
% 16.86/6.25 Index Deletion : 0.00
% 16.86/6.25 Index Matching : 0.00
% 16.86/6.25 BG Taut test : 0.00
%------------------------------------------------------------------------------