TSTP Solution File: GRP210-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP210-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.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 10:40:29 EDT 2023
% Result : Unsatisfiable 23.31s 12.30s
% Output : CNFRefutation 23.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 49
% Syntax : Number of formulae : 540 ( 422 unt; 13 typ; 0 def)
% Number of atoms : 728 ( 701 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 415 ( 214 ~; 201 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 288 (; 288 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( multiply(X4,X5) != sk_c10 )
| ( inverse(X4) != X5 )
| ( multiply(X5,sk_c9) != sk_c10 )
| ( inverse(X6) != sk_c10 )
| ( multiply(X6,sk_c9) != sk_c10 )
| ( inverse(X1) != sk_c10 )
| ( multiply(X1,sk_c9) != sk_c10 )
| ( multiply(X3,X2) != sk_c9 )
| ( inverse(X3) != X2 )
| ( multiply(X2,sk_c10) != sk_c9 )
| ( multiply(sk_c10,X7) != sk_c9 )
| ( multiply(X8,sk_c10) != X7 )
| ( inverse(X8) != sk_c10 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c6,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c5,sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c6,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c5,sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c5,sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c6,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_101020,plain,
! [X_632,Y_633,Z_634] : ( multiply(multiply(X_632,Y_633),Z_634) = multiply(X_632,multiply(Y_633,Z_634)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_101062,plain,
! [X_2,Z_634] : ( multiply(inverse(X_2),multiply(X_2,Z_634)) = multiply(identity,Z_634) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_101020]) ).
tff(c_101074,plain,
! [X_2,Z_634] : ( multiply(inverse(X_2),multiply(X_2,Z_634)) = Z_634 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_101062]) ).
tff(c_102470,plain,
! [X_663,Z_664] : ( multiply(inverse(X_663),multiply(X_663,Z_664)) = Z_664 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_101062]) ).
tff(c_102828,plain,
! [X_668,Z_669] : ( multiply(inverse(inverse(X_668)),Z_669) = multiply(X_668,Z_669) ),
inference(superposition,[status(thm),theory(equality)],[c_101074,c_102470]) ).
tff(c_102849,plain,
! [X_668] : ( multiply(X_668,inverse(X_668)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_102828,c_4]) ).
tff(c_179,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_209,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_179]) ).
tff(c_219,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_209]) ).
tff(c_267,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_209]) ).
tff(c_1012,plain,
! [X_35,Z_36] : ( multiply(inverse(inverse(X_35)),Z_36) = multiply(X_35,Z_36) ),
inference(superposition,[status(thm),theory(equality)],[c_219,c_267]) ).
tff(c_321,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_267]) ).
tff(c_1023,plain,
! [X_35] : ( multiply(X_35,identity) = X_35 ),
inference(superposition,[status(thm),theory(equality)],[c_1012,c_321]) ).
tff(c_1037,plain,
! [X_35] : ( multiply(X_35,inverse(X_35)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_1012,c_4]) ).
tff(c_626,plain,
! [X_25,Z_26] : ( multiply(inverse(inverse(X_25)),Z_26) = multiply(X_25,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_219,c_267]) ).
tff(c_633,plain,
! [X_25] : ( multiply(X_25,identity) = X_25 ),
inference(superposition,[status(thm),theory(equality)],[c_626,c_321]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_149,plain,
multiply(sk_c1,sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_105,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_109,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_105,c_4]) ).
tff(c_206,plain,
! [Z_18] : ( multiply(sk_c2,multiply(sk_c1,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_179]) ).
tff(c_244,plain,
! [Z_20] : ( multiply(sk_c2,multiply(sk_c1,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_206]) ).
tff(c_256,plain,
multiply(sk_c2,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_149,c_244]) ).
tff(c_285,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_256,c_267]) ).
tff(c_328,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_285]) ).
tff(c_86,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c3,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_139,plain,
multiply(sk_c3,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_86]) ).
tff(c_70,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_117,plain,
inverse(sk_c3) = sk_c10,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_121,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_117,c_4]) ).
tff(c_203,plain,
! [Z_18] : ( multiply(sk_c10,multiply(sk_c3,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_121,c_179]) ).
tff(c_221,plain,
! [Z_19] : ( multiply(sk_c10,multiply(sk_c3,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203]) ).
tff(c_233,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_139,c_221]) ).
tff(c_429,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_328,c_328,c_233]) ).
tff(c_436,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_429]) ).
tff(c_341,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_328,c_117]) ).
tff(c_357,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_341,c_4]) ).
tff(c_364,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_357,c_219]) ).
tff(c_376,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_364]) ).
tff(c_380,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_376,c_341]) ).
tff(c_335,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_328,c_328,c_233]) ).
tff(c_342,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_335]) ).
tff(c_88,plain,
! [X4_13,X3_8,X8_12,X1_10,X6_7] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c9 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(inverse(X4_13),sk_c9) != sk_c10 )
| ( multiply(X4_13,inverse(X4_13)) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_333,plain,
! [X4_13] :
( ( multiply(inverse(X4_13),sk_c9) != sk_c10 )
| ( multiply(X4_13,inverse(X4_13)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_416,plain,
! [X4_23] :
( ( multiply(inverse(X4_23),identity) != identity )
| ( multiply(X4_23,inverse(X4_23)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_328,c_342,c_328,c_333]) ).
tff(c_418,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_380,c_416]) ).
tff(c_426,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_380,c_2,c_2,c_418]) ).
tff(c_427,plain,
! [X6_7,X1_10,X3_8,X8_12] :
( ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c9 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_509,plain,
! [X6_7,X1_10,X3_8,X8_12] :
( ( multiply(X6_7,identity) != identity )
| ( inverse(X6_7) != identity )
| ( multiply(X1_10,identity) != identity )
| ( inverse(X1_10) != identity )
| ( multiply(inverse(X3_8),identity) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity )
| ( inverse(X8_12) != identity )
| ( multiply(X8_12,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_436,c_328,c_2,c_328,c_328,c_436,c_436,c_328,c_328,c_436,c_328,c_328,c_436,c_328,c_427]) ).
tff(c_510,plain,
! [X8_12] :
( ( inverse(X8_12) != identity )
| ( multiply(X8_12,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_509]) ).
tff(c_889,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_633,c_510]) ).
tff(c_435,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_328,c_117]) ).
tff(c_451,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_435,c_4]) ).
tff(c_458,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_451,c_219]) ).
tff(c_470,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_458]) ).
tff(c_474,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_470,c_435]) ).
tff(c_891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_889,c_474]) ).
tff(c_892,plain,
! [X3_8,X1_10,X6_7] :
( ( multiply(inverse(X3_8),identity) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity )
| ( multiply(X1_10,identity) != identity )
| ( inverse(X1_10) != identity )
| ( multiply(X6_7,identity) != identity )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_509]) ).
tff(c_23263,plain,
! [X3_8,X1_10,X6_7] :
( ( inverse(X3_8) != identity )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1023,c_1023,c_1037,c_1023,c_892]) ).
tff(c_23265,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_23263]) ).
tff(c_23267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23265,c_474]) ).
tff(c_23268,plain,
! [X1_10,X3_8] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X3_8) != identity ) ),
inference(splitRight,[status(thm)],[c_23263]) ).
tff(c_23269,plain,
! [X3_8] : ( inverse(X3_8) != identity ),
inference(splitLeft,[status(thm)],[c_23268]) ).
tff(c_23271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23269,c_474]) ).
tff(c_23274,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_23268]) ).
tff(c_23276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23274,c_474]) ).
tff(c_23278,plain,
multiply(sk_c1,sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_20,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_23348,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_23278,c_20]) ).
tff(c_22,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_23292,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_23278,c_22]) ).
tff(c_23296,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23292,c_4]) ).
tff(c_23357,plain,
! [X_201,Y_202,Z_203] : ( multiply(multiply(X_201,Y_202),Z_203) = multiply(X_201,multiply(Y_202,Z_203)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_23390,plain,
! [Z_203] : ( multiply(sk_c10,multiply(sk_c7,Z_203)) = multiply(identity,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_23296,c_23357]) ).
tff(c_23593,plain,
! [Z_209] : ( multiply(sk_c10,multiply(sk_c7,Z_209)) = Z_209 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23390]) ).
tff(c_23605,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_23348,c_23593]) ).
tff(c_18,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_23325,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_23278,c_18]) ).
tff(c_23609,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23605,c_23325]) ).
tff(c_23402,plain,
! [Z_203] : ( multiply(sk_c10,multiply(sk_c3,Z_203)) = multiply(identity,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_121,c_23357]) ).
tff(c_23423,plain,
! [Z_204] : ( multiply(sk_c10,multiply(sk_c3,Z_204)) = Z_204 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23402]) ).
tff(c_23435,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_139,c_23423]) ).
tff(c_23617,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23609,c_23435]) ).
tff(c_23408,plain,
! [X_2,Z_203] : ( multiply(inverse(X_2),multiply(X_2,Z_203)) = multiply(identity,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23357]) ).
tff(c_23784,plain,
! [X_213,Z_214] : ( multiply(inverse(X_213),multiply(X_213,Z_214)) = Z_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23408]) ).
tff(c_23814,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_23617,c_23784]) ).
tff(c_23877,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_23814]) ).
tff(c_46,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_133,plain,
multiply(sk_c2,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_23399,plain,
! [Z_203] : ( multiply(sk_c2,multiply(sk_c9,Z_203)) = multiply(sk_c10,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_133,c_23357]) ).
tff(c_23627,plain,
! [Z_203] : ( multiply(sk_c2,multiply(sk_c10,Z_203)) = multiply(sk_c10,Z_203) ),
inference(demodulation,[status(thm),theory(equality)],[c_23609,c_23399]) ).
tff(c_23903,plain,
! [Z_203] : ( multiply(sk_c2,multiply(identity,Z_203)) = multiply(identity,Z_203) ),
inference(demodulation,[status(thm),theory(equality)],[c_23877,c_23877,c_23627]) ).
tff(c_24138,plain,
! [Z_216] : ( multiply(sk_c2,Z_216) = Z_216 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_23903]) ).
tff(c_24153,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_24138,c_109]) ).
tff(c_23910,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_23877,c_23278]) ).
tff(c_24166,plain,
multiply(identity,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24153,c_23910]) ).
tff(c_24170,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24166]) ).
tff(c_23909,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23877,c_23292]) ).
tff(c_23991,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23909,c_4]) ).
tff(c_23421,plain,
! [X_2,Z_203] : ( multiply(inverse(X_2),multiply(X_2,Z_203)) = Z_203 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23408]) ).
tff(c_24010,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23991,c_23421]) ).
tff(c_24022,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24010]) ).
tff(c_24026,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24022,c_23909]) ).
tff(c_24169,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_24153,c_105]) ).
tff(c_24173,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24026,c_24169]) ).
tff(c_24180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24170,c_24173]) ).
tff(c_24182,plain,
multiply(sk_c3,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_84,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( multiply(sk_c3,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_24807,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_24182,c_84]) ).
tff(c_24181,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_24186,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24181,c_4]) ).
tff(c_24837,plain,
! [X_229,Y_230,Z_231] : ( multiply(multiply(X_229,Y_230),Z_231) = multiply(X_229,multiply(Y_230,Z_231)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24873,plain,
! [Z_231] : ( multiply(sk_c10,multiply(sk_c7,Z_231)) = multiply(identity,Z_231) ),
inference(superposition,[status(thm),theory(equality)],[c_24186,c_24837]) ).
tff(c_25284,plain,
! [Z_246] : ( multiply(sk_c10,multiply(sk_c7,Z_246)) = Z_246 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24873]) ).
tff(c_25296,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_24807,c_25284]) ).
tff(c_24260,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_24182,c_84]) ).
tff(c_24271,plain,
! [X_217,Y_218,Z_219] : ( multiply(multiply(X_217,Y_218),Z_219) = multiply(X_217,multiply(Y_218,Z_219)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24310,plain,
! [Z_219] : ( multiply(sk_c10,multiply(sk_c7,Z_219)) = multiply(identity,Z_219) ),
inference(superposition,[status(thm),theory(equality)],[c_24186,c_24271]) ).
tff(c_24373,plain,
! [Z_222] : ( multiply(sk_c10,multiply(sk_c7,Z_222)) = Z_222 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24310]) ).
tff(c_24385,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_24260,c_24373]) ).
tff(c_12,plain,
( ( multiply(sk_c5,sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_24232,plain,
multiply(sk_c1,sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_24319,plain,
! [Z_219] : ( multiply(sk_c2,multiply(sk_c1,Z_219)) = multiply(identity,Z_219) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_24271]) ).
tff(c_24350,plain,
! [Z_221] : ( multiply(sk_c2,multiply(sk_c1,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24319]) ).
tff(c_24362,plain,
multiply(sk_c2,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_24232,c_24350]) ).
tff(c_82,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_24266,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_24182,c_82]) ).
tff(c_24505,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24385,c_24266]) ).
tff(c_24313,plain,
! [Z_219] : ( multiply(sk_c2,multiply(sk_c9,Z_219)) = multiply(sk_c10,Z_219) ),
inference(superposition,[status(thm),theory(equality)],[c_133,c_24271]) ).
tff(c_24530,plain,
! [Z_225] : ( multiply(sk_c2,multiply(sk_c10,Z_225)) = multiply(sk_c10,Z_225) ),
inference(demodulation,[status(thm),theory(equality)],[c_24505,c_24313]) ).
tff(c_24542,plain,
multiply(sk_c2,sk_c10) = multiply(sk_c10,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_24385,c_24530]) ).
tff(c_24561,plain,
sk_c2 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24385,c_24362,c_24542]) ).
tff(c_24316,plain,
! [Z_219] : ( multiply(sk_c10,multiply(sk_c3,Z_219)) = multiply(identity,Z_219) ),
inference(superposition,[status(thm),theory(equality)],[c_121,c_24271]) ).
tff(c_24333,plain,
! [Z_219] : ( multiply(sk_c10,multiply(sk_c3,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24316]) ).
tff(c_24548,plain,
! [Z_219] : ( multiply(sk_c10,multiply(sk_c3,Z_219)) = multiply(sk_c2,Z_219) ),
inference(superposition,[status(thm),theory(equality)],[c_24333,c_24530]) ).
tff(c_24563,plain,
! [Z_219] : ( multiply(sk_c2,Z_219) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_24333,c_24548]) ).
tff(c_24630,plain,
! [Z_226] : ( multiply(sk_c10,Z_226) = Z_226 ),
inference(demodulation,[status(thm),theory(equality)],[c_24561,c_24563]) ).
tff(c_24657,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_24630,c_121]) ).
tff(c_24516,plain,
multiply(sk_c3,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24505,c_24182]) ).
tff(c_24781,plain,
multiply(identity,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24657,c_24516]) ).
tff(c_24787,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24781]) ).
tff(c_24789,plain,
multiply(sk_c1,sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_24817,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_24789,c_18]) ).
tff(c_25300,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25296,c_24817]) ).
tff(c_74,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( multiply(sk_c3,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_24822,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_24182,c_74]) ).
tff(c_72,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c3,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_24217,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_24182,c_72]) ).
tff(c_24221,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24217,c_4]) ).
tff(c_24867,plain,
! [Z_231] : ( multiply(sk_c10,multiply(sk_c4,Z_231)) = multiply(identity,Z_231) ),
inference(superposition,[status(thm),theory(equality)],[c_24221,c_24837]) ).
tff(c_25248,plain,
! [Z_244] : ( multiply(sk_c10,multiply(sk_c4,Z_244)) = Z_244 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24867]) ).
tff(c_25260,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_24822,c_25248]) ).
tff(c_25309,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25300,c_25260]) ).
tff(c_24885,plain,
! [X_2,Z_231] : ( multiply(inverse(X_2),multiply(X_2,Z_231)) = multiply(identity,Z_231) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24837]) ).
tff(c_25444,plain,
! [X_249,Z_250] : ( multiply(inverse(X_249),multiply(X_249,Z_250)) = Z_250 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24885]) ).
tff(c_25474,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25309,c_25444]) ).
tff(c_25531,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25474]) ).
tff(c_25555,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25531,c_117]) ).
tff(c_25522,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25444]) ).
tff(c_25594,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_25555,c_25522]) ).
tff(c_25603,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25594]) ).
tff(c_25313,plain,
multiply(sk_c3,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25300,c_24182]) ).
tff(c_25541,plain,
multiply(sk_c3,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_25531,c_25531,c_25313]) ).
tff(c_25687,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25603,c_25541]) ).
tff(c_25689,plain,
multiply(sk_c2,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_52,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_99935,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_25689,c_52]) ).
tff(c_25702,plain,
multiply(sk_c1,sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_98889,plain,
! [X_591,Y_592,Z_593] : ( multiply(multiply(X_591,Y_592),Z_593) = multiply(X_591,multiply(Y_592,Z_593)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_98934,plain,
! [Z_593] : ( multiply(sk_c2,multiply(sk_c1,Z_593)) = multiply(identity,Z_593) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_98889]) ).
tff(c_98965,plain,
! [Z_595] : ( multiply(sk_c2,multiply(sk_c1,Z_595)) = Z_595 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98934]) ).
tff(c_98977,plain,
multiply(sk_c2,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_25702,c_98965]) ).
tff(c_98937,plain,
! [X_2,Z_593] : ( multiply(inverse(X_2),multiply(X_2,Z_593)) = multiply(identity,Z_593) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_98889]) ).
tff(c_99470,plain,
! [X_607,Z_608] : ( multiply(inverse(X_607),multiply(X_607,Z_608)) = Z_608 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98937]) ).
tff(c_99515,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_98977,c_99470]) ).
tff(c_99569,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99515]) ).
tff(c_99598,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_99569,c_117]) ).
tff(c_99670,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_99598,c_4]) ).
tff(c_98950,plain,
! [X_2,Z_593] : ( multiply(inverse(X_2),multiply(X_2,Z_593)) = Z_593 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98937]) ).
tff(c_99727,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_99670,c_98950]) ).
tff(c_99739,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99727]) ).
tff(c_98878,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_25689,c_52]) ).
tff(c_25784,plain,
! [X_252,Y_253,Z_254] : ( multiply(multiply(X_252,Y_253),Z_254) = multiply(X_252,multiply(Y_253,Z_254)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_25832,plain,
! [Z_254] : ( multiply(sk_c2,multiply(sk_c1,Z_254)) = multiply(identity,Z_254) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_25784]) ).
tff(c_25873,plain,
! [Z_256] : ( multiply(sk_c2,multiply(sk_c1,Z_256)) = Z_256 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25832]) ).
tff(c_25885,plain,
multiply(sk_c2,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_25702,c_25873]) ).
tff(c_25835,plain,
! [X_2,Z_254] : ( multiply(inverse(X_2),multiply(X_2,Z_254)) = multiply(identity,Z_254) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25784]) ).
tff(c_31054,plain,
! [X_321,Z_322] : ( multiply(inverse(X_321),multiply(X_321,Z_322)) = Z_322 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25835]) ).
tff(c_31093,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25885,c_31054]) ).
tff(c_31152,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31093]) ).
tff(c_25848,plain,
! [X_2,Z_254] : ( multiply(inverse(X_2),multiply(X_2,Z_254)) = Z_254 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25835]) ).
tff(c_31590,plain,
! [X_327,Z_328] : ( multiply(inverse(inverse(X_327)),Z_328) = multiply(X_327,Z_328) ),
inference(superposition,[status(thm),theory(equality)],[c_25848,c_31054]) ).
tff(c_31141,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31054]) ).
tff(c_31600,plain,
! [X_327] : ( multiply(X_327,identity) = X_327 ),
inference(superposition,[status(thm),theory(equality)],[c_31590,c_31141]) ).
tff(c_31637,plain,
! [X_327] : ( multiply(X_327,inverse(X_327)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31590]) ).
tff(c_26871,plain,
! [X_274,Z_275] : ( multiply(inverse(X_274),multiply(X_274,Z_275)) = Z_275 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25835]) ).
tff(c_27391,plain,
! [X_280,Z_281] : ( multiply(inverse(inverse(X_280)),Z_281) = multiply(X_280,Z_281) ),
inference(superposition,[status(thm),theory(equality)],[c_26871,c_25848]) ).
tff(c_26961,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26871]) ).
tff(c_27398,plain,
! [X_280] : ( multiply(X_280,identity) = X_280 ),
inference(superposition,[status(thm),theory(equality)],[c_27391,c_26961]) ).
tff(c_26916,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25885,c_26871]) ).
tff(c_26974,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26916]) ).
tff(c_25707,plain,
multiply(sk_c3,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_86]) ).
tff(c_25829,plain,
! [Z_254] : ( multiply(sk_c10,multiply(sk_c3,Z_254)) = multiply(identity,Z_254) ),
inference(superposition,[status(thm),theory(equality)],[c_121,c_25784]) ).
tff(c_25850,plain,
! [Z_255] : ( multiply(sk_c10,multiply(sk_c3,Z_255)) = Z_255 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25829]) ).
tff(c_25862,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_25707,c_25850]) ).
tff(c_26703,plain,
! [Z_271] : ( multiply(sk_c1,multiply(sk_c2,Z_271)) = multiply(sk_c10,Z_271) ),
inference(superposition,[status(thm),theory(equality)],[c_25702,c_25784]) ).
tff(c_26718,plain,
multiply(sk_c10,sk_c10) = multiply(sk_c1,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_25885,c_26703]) ).
tff(c_26728,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25702,c_25862,c_26718]) ).
tff(c_26013,plain,
! [X_260,Z_261] : ( multiply(inverse(X_260),multiply(X_260,Z_261)) = Z_261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25835]) ).
tff(c_26055,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25885,c_26013]) ).
tff(c_26115,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26055]) ).
tff(c_25771,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_25689,c_52]) ).
tff(c_54,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_25714,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_25689,c_54]) ).
tff(c_25718,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25714,c_4]) ).
tff(c_25817,plain,
! [Z_254] : ( multiply(sk_c10,multiply(sk_c7,Z_254)) = multiply(identity,Z_254) ),
inference(superposition,[status(thm),theory(equality)],[c_25718,c_25784]) ).
tff(c_25914,plain,
! [Z_258] : ( multiply(sk_c10,multiply(sk_c7,Z_258)) = Z_258 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25817]) ).
tff(c_25926,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25771,c_25914]) ).
tff(c_50,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_25755,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25689,c_50]) ).
tff(c_25930,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25926,c_25755]) ).
tff(c_48,plain,
( ( multiply(sk_c6,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_25764,plain,
multiply(sk_c6,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25689,c_48]) ).
tff(c_25940,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25930,c_25764]) ).
tff(c_25688,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_44,plain,
( ( multiply(sk_c5,sk_c6) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_25777,plain,
multiply(sk_c5,sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25689,c_44]) ).
tff(c_25939,plain,
multiply(sk_c5,sk_c6) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25930,c_25777]) ).
tff(c_26037,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_25939,c_26013]) ).
tff(c_26112,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25940,c_25688,c_26037]) ).
tff(c_26125,plain,
inverse(sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_26112,c_25688]) ).
tff(c_26205,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26115,c_26125]) ).
tff(c_26212,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26205,c_4]) ).
tff(c_26267,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_26212,c_25848]) ).
tff(c_26279,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26267]) ).
tff(c_26283,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26279,c_26205]) ).
tff(c_25889,plain,
! [X4_13] :
( ( multiply(inverse(X4_13),sk_c9) != sk_c10 )
| ( multiply(X4_13,inverse(X4_13)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_25950,plain,
! [X4_259] :
( ( multiply(inverse(X4_259),sk_c10) != sk_c10 )
| ( multiply(X4_259,inverse(X4_259)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25930,c_25889]) ).
tff(c_25963,plain,
( ( sk_c10 != identity )
| ( multiply(sk_c10,inverse(sk_c10)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25950]) ).
tff(c_25977,plain,
multiply(sk_c10,inverse(sk_c10)) != sk_c10,
inference(splitLeft,[status(thm)],[c_25963]) ).
tff(c_26556,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26283,c_26115,c_26115,c_2,c_26115,c_25977]) ).
tff(c_26557,plain,
sk_c10 != identity,
inference(splitRight,[status(thm)],[c_25963]) ).
tff(c_26569,plain,
! [X_267,Z_268] : ( multiply(inverse(X_267),multiply(X_267,Z_268)) = Z_268 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25835]) ).
tff(c_26602,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25885,c_26569]) ).
tff(c_26659,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26602]) ).
tff(c_26661,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26557,c_26659]) ).
tff(c_26662,plain,
! [X6_7,X1_10,X3_8,X8_12] :
( ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c9 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_26762,plain,
! [X6_7,X1_10,X3_8,X8_12] :
( ( multiply(X6_7,sk_c10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26728,c_26728,c_26728,c_26728,c_26728,c_26662]) ).
tff(c_26763,plain,
! [X8_12] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_26762]) ).
tff(c_31039,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27398,c_26974,c_26974,c_2,c_26974,c_26974,c_26763]) ).
tff(c_27000,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26974,c_25714]) ).
tff(c_27075,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27000,c_4]) ).
tff(c_27121,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27075,c_25848]) ).
tff(c_27133,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27121]) ).
tff(c_27137,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27133,c_27000]) ).
tff(c_31041,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31039,c_27137]) ).
tff(c_31042,plain,
! [X3_8,X1_10,X6_7] :
( ( multiply(inverse(X3_8),sk_c10) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_26762]) ).
tff(c_98793,plain,
! [X3_8,X1_10,X6_7] :
( ( inverse(X3_8) != identity )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31152,c_31600,c_31152,c_31152,c_31152,c_31600,c_31152,c_31152,c_31637,c_31152,c_31600,c_31152,c_31152,c_31042]) ).
tff(c_98795,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_98793]) ).
tff(c_31178,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31152,c_25714]) ).
tff(c_31260,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31178,c_4]) ).
tff(c_31311,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_31260,c_25848]) ).
tff(c_31323,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31311]) ).
tff(c_31327,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31323,c_31178]) ).
tff(c_98797,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98795,c_31327]) ).
tff(c_98798,plain,
! [X1_10,X3_8] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X3_8) != identity ) ),
inference(splitRight,[status(thm)],[c_98793]) ).
tff(c_98799,plain,
! [X3_8] : ( inverse(X3_8) != identity ),
inference(splitLeft,[status(thm)],[c_98798]) ).
tff(c_98801,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98799,c_31327]) ).
tff(c_98804,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_98798]) ).
tff(c_98806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98804,c_31327]) ).
tff(c_98807,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_98812,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98807,c_4]) ).
tff(c_98922,plain,
! [Z_593] : ( multiply(sk_c10,multiply(sk_c7,Z_593)) = multiply(identity,Z_593) ),
inference(superposition,[status(thm),theory(equality)],[c_98812,c_98889]) ).
tff(c_99340,plain,
! [Z_605] : ( multiply(sk_c10,multiply(sk_c7,Z_605)) = Z_605 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98922]) ).
tff(c_99352,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_98878,c_99340]) ).
tff(c_98849,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25689,c_50]) ).
tff(c_99356,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_99352,c_98849]) ).
tff(c_98808,plain,
multiply(sk_c3,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_99395,plain,
multiply(sk_c3,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_99356,c_98808]) ).
tff(c_99580,plain,
multiply(sk_c3,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_99569,c_99569,c_99395]) ).
tff(c_99875,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99739,c_99580]) ).
tff(c_99876,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_99881,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_99876,c_4]) ).
tff(c_99963,plain,
! [X_611,Y_612,Z_613] : ( multiply(multiply(X_611,Y_612),Z_613) = multiply(X_611,multiply(Y_612,Z_613)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_99999,plain,
! [Z_613] : ( multiply(sk_c10,multiply(sk_c7,Z_613)) = multiply(identity,Z_613) ),
inference(superposition,[status(thm),theory(equality)],[c_99881,c_99963]) ).
tff(c_100254,plain,
! [Z_624] : ( multiply(sk_c10,multiply(sk_c7,Z_624)) = Z_624 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99999]) ).
tff(c_100266,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_99935,c_100254]) ).
tff(c_99929,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25689,c_50]) ).
tff(c_100270,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_100266,c_99929]) ).
tff(c_99953,plain,
multiply(sk_c6,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25689,c_48]) ).
tff(c_100281,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_100270,c_99953]) ).
tff(c_99877,plain,
multiply(sk_c1,sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_99940,plain,
multiply(sk_c5,sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_99877,c_12]) ).
tff(c_25693,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25688,c_4]) ).
tff(c_100002,plain,
! [Z_613] : ( multiply(sk_c6,multiply(sk_c5,Z_613)) = multiply(identity,Z_613) ),
inference(superposition,[status(thm),theory(equality)],[c_25693,c_99963]) ).
tff(c_100231,plain,
! [Z_623] : ( multiply(sk_c6,multiply(sk_c5,Z_623)) = Z_623 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100002]) ).
tff(c_100243,plain,
multiply(sk_c6,sk_c9) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_99940,c_100231]) ).
tff(c_100278,plain,
multiply(sk_c6,sk_c10) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_100270,c_100243]) ).
tff(c_100364,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_100281,c_100278]) ).
tff(c_100372,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_100364,c_100281]) ).
tff(c_100011,plain,
! [X_2,Z_613] : ( multiply(inverse(X_2),multiply(X_2,Z_613)) = multiply(identity,Z_613) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_99963]) ).
tff(c_100399,plain,
! [X_626,Z_627] : ( multiply(inverse(X_626),multiply(X_626,Z_627)) = Z_627 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100011]) ).
tff(c_100417,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_100372,c_100399]) ).
tff(c_100481,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_100417]) ).
tff(c_100505,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_100481,c_99877]) ).
tff(c_100024,plain,
! [X_2,Z_613] : ( multiply(inverse(X_2),multiply(X_2,Z_613)) = Z_613 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100011]) ).
tff(c_100765,plain,
! [X_629,Z_630] : ( multiply(inverse(inverse(X_629)),Z_630) = multiply(X_629,Z_630) ),
inference(superposition,[status(thm),theory(equality)],[c_100024,c_100399]) ).
tff(c_100474,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_100399]) ).
tff(c_100820,plain,
! [X_631] : ( multiply(X_631,identity) = X_631 ),
inference(superposition,[status(thm),theory(equality)],[c_100765,c_100474]) ).
tff(c_100468,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_109,c_100399]) ).
tff(c_100833,plain,
inverse(sk_c2) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_100820,c_100468]) ).
tff(c_100910,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_100833,c_4]) ).
tff(c_100916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100505,c_100910]) ).
tff(c_100918,plain,
inverse(sk_c3) != sk_c10,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_68,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_100992,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_100918,c_68]) ).
tff(c_100917,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_100933,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_100917,c_4]) ).
tff(c_101056,plain,
! [Z_634] : ( multiply(sk_c10,multiply(sk_c7,Z_634)) = multiply(identity,Z_634) ),
inference(superposition,[status(thm),theory(equality)],[c_100933,c_101020]) ).
tff(c_101194,plain,
! [Z_638] : ( multiply(sk_c10,multiply(sk_c7,Z_638)) = Z_638 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_101056]) ).
tff(c_101206,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_100992,c_101194]) ).
tff(c_66,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_101000,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_100918,c_66]) ).
tff(c_101210,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_101206,c_101000]) ).
tff(c_58,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_100973,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_100918,c_58]) ).
tff(c_56,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_100953,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_100918,c_56]) ).
tff(c_100957,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_100953,c_4]) ).
tff(c_101050,plain,
! [Z_634] : ( multiply(sk_c10,multiply(sk_c4,Z_634)) = multiply(identity,Z_634) ),
inference(superposition,[status(thm),theory(equality)],[c_100957,c_101020]) ).
tff(c_101076,plain,
! [Z_635] : ( multiply(sk_c10,multiply(sk_c4,Z_635)) = Z_635 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_101050]) ).
tff(c_101088,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_100973,c_101076]) ).
tff(c_101354,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_101210,c_101088]) ).
tff(c_102497,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_101354,c_102470]) ).
tff(c_102545,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_102497]) ).
tff(c_102536,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_102470]) ).
tff(c_102835,plain,
! [X_668] : ( multiply(X_668,identity) = X_668 ),
inference(superposition,[status(thm),theory(equality)],[c_102828,c_102536]) ).
tff(c_64,plain,
( ( multiply(sk_c6,sk_c10) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_100982,plain,
multiply(sk_c6,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_100918,c_64]) ).
tff(c_101355,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_101210,c_100982]) ).
tff(c_62,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_100919,plain,
inverse(sk_c3) = sk_c10,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_100927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100918,c_100919]) ).
tff(c_100928,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_60,plain,
( ( multiply(sk_c5,sk_c6) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_100966,plain,
multiply(sk_c5,sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_100918,c_60]) ).
tff(c_101357,plain,
multiply(sk_c5,sk_c6) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_101210,c_100966]) ).
tff(c_101531,plain,
! [X_645,Z_646] : ( multiply(inverse(X_645),multiply(X_645,Z_646)) = Z_646 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_101062]) ).
tff(c_101558,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_101357,c_101531]) ).
tff(c_101584,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_101355,c_100928,c_101558]) ).
tff(c_101555,plain,
multiply(inverse(sk_c6),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_101355,c_101531]) ).
tff(c_101688,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_101584,c_101555]) ).
tff(c_101786,plain,
! [X_650,Z_651] : ( multiply(inverse(inverse(X_650)),Z_651) = multiply(X_650,Z_651) ),
inference(superposition,[status(thm),theory(equality)],[c_101531,c_101074]) ).
tff(c_101576,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_101531]) ).
tff(c_101796,plain,
! [X_650] : ( multiply(X_650,identity) = X_650 ),
inference(superposition,[status(thm),theory(equality)],[c_101786,c_101576]) ).
tff(c_101219,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_101210,c_101088]) ).
tff(c_101072,plain,
! [Z_634] : ( multiply(sk_c10,multiply(sk_c7,Z_634)) = Z_634 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_101056]) ).
tff(c_101044,plain,
! [Z_634] : ( multiply(sk_c4,multiply(sk_c9,Z_634)) = multiply(sk_c10,Z_634) ),
inference(superposition,[status(thm),theory(equality)],[c_100973,c_101020]) ).
tff(c_101242,plain,
! [Z_639] : ( multiply(sk_c4,multiply(sk_c10,Z_639)) = multiply(sk_c10,Z_639) ),
inference(demodulation,[status(thm),theory(equality)],[c_101210,c_101044]) ).
tff(c_101263,plain,
! [Z_634] : ( multiply(sk_c10,multiply(sk_c7,Z_634)) = multiply(sk_c4,Z_634) ),
inference(superposition,[status(thm),theory(equality)],[c_101072,c_101242]) ).
tff(c_101278,plain,
! [Z_634] : ( multiply(sk_c4,Z_634) = Z_634 ),
inference(demodulation,[status(thm),theory(equality)],[c_101072,c_101263]) ).
tff(c_101100,plain,
! [Z_636] : ( multiply(sk_c10,multiply(sk_c7,Z_636)) = Z_636 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_101056]) ).
tff(c_101112,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_100992,c_101100]) ).
tff(c_101116,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_101112,c_101000]) ).
tff(c_101126,plain,
multiply(sk_c4,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_101116,c_100973]) ).
tff(c_101124,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_101116,c_101088]) ).
tff(c_101092,plain,
! [X4_13] :
( ( multiply(inverse(X4_13),sk_c9) != sk_c10 )
| ( multiply(X4_13,inverse(X4_13)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_101140,plain,
! [X4_637] :
( ( multiply(inverse(X4_637),sk_c10) != sk_c10 )
| ( multiply(X4_637,inverse(X4_637)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101116,c_101092]) ).
tff(c_101142,plain,
( ( multiply(sk_c10,sk_c10) != sk_c10 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_100953,c_101140]) ).
tff(c_101153,plain,
multiply(sk_c4,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_100953,c_101124,c_101142]) ).
tff(c_101185,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_101126,c_101153]) ).
tff(c_101186,plain,
! [X6_7,X1_10,X3_8,X8_12] :
( ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c9 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_101218,plain,
! [X8_12] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_101186]) ).
tff(c_101320,plain,
! [X8_641] :
( ( inverse(X8_641) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_641,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101210,c_101218]) ).
tff(c_101324,plain,
( ( inverse(sk_c4) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_101278,c_101320]) ).
tff(c_101352,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_101219,c_100953,c_101324]) ).
tff(c_101353,plain,
! [X3_8,X1_10,X6_7] :
( ( multiply(inverse(X3_8),sk_c10) != sk_c9 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_101186]) ).
tff(c_101454,plain,
! [X3_8,X1_10,X6_7] :
( ( multiply(inverse(X3_8),sk_c10) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101210,c_101210,c_101210,c_101210,c_101353]) ).
tff(c_101455,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_101454]) ).
tff(c_102466,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_101688,c_101796,c_101688,c_101688,c_101455]) ).
tff(c_101377,plain,
! [Z_642] : ( multiply(sk_c4,multiply(sk_c10,Z_642)) = multiply(sk_c10,Z_642) ),
inference(demodulation,[status(thm),theory(equality)],[c_101210,c_101044]) ).
tff(c_101398,plain,
! [Z_634] : ( multiply(sk_c10,multiply(sk_c7,Z_634)) = multiply(sk_c4,Z_634) ),
inference(superposition,[status(thm),theory(equality)],[c_101072,c_101377]) ).
tff(c_101413,plain,
! [Z_634] : ( multiply(sk_c4,Z_634) = Z_634 ),
inference(demodulation,[status(thm),theory(equality)],[c_101072,c_101398]) ).
tff(c_101070,plain,
! [Z_634] : ( multiply(sk_c10,multiply(sk_c4,Z_634)) = Z_634 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_101050]) ).
tff(c_101457,plain,
! [Z_644] : ( multiply(sk_c10,Z_644) = Z_644 ),
inference(demodulation,[status(thm),theory(equality)],[c_101413,c_101070]) ).
tff(c_101472,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_101457,c_100957]) ).
tff(c_101503,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_101472,c_100953]) ).
tff(c_101691,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_101688,c_101503]) ).
tff(c_102468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102466,c_101691]) ).
tff(c_102469,plain,
! [X1_10,X3_8] :
( ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_101454]) ).
tff(c_109642,plain,
! [X1_10,X3_8] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X3_8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102849,c_102545,c_102835,c_102545,c_102545,c_102545,c_102835,c_102545,c_102545,c_102469]) ).
tff(c_109643,plain,
! [X3_8] : ( inverse(X3_8) != identity ),
inference(splitLeft,[status(thm)],[c_109642]) ).
tff(c_102494,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_101357,c_102470]) ).
tff(c_102544,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_101355,c_100928,c_102494]) ).
tff(c_102553,plain,
inverse(sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_102544,c_100928]) ).
tff(c_102645,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102545,c_102553]) ).
tff(c_102652,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102645,c_4]) ).
tff(c_102661,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_102652,c_101074]) ).
tff(c_102673,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_102661]) ).
tff(c_102677,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102673,c_102645]) ).
tff(c_109645,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109643,c_102677]) ).
tff(c_109647,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_109642]) ).
tff(c_109649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109647,c_102677]) ).
tff(c_109651,plain,
inverse(sk_c1) != sk_c2,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_36,plain,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_109730,plain,
multiply(sk_c7,sk_c10) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_109651,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_109675,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_109651,c_38]) ).
tff(c_109679,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109675,c_4]) ).
tff(c_109755,plain,
! [X_736,Y_737,Z_738] : ( multiply(multiply(X_736,Y_737),Z_738) = multiply(X_736,multiply(Y_737,Z_738)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_109788,plain,
! [Z_738] : ( multiply(sk_c10,multiply(sk_c7,Z_738)) = multiply(identity,Z_738) ),
inference(superposition,[status(thm),theory(equality)],[c_109679,c_109755]) ).
tff(c_109942,plain,
! [Z_744] : ( multiply(sk_c10,multiply(sk_c7,Z_744)) = Z_744 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_109788]) ).
tff(c_109954,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_109730,c_109942]) ).
tff(c_34,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_109715,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_109651,c_34]) ).
tff(c_109971,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_109954,c_109715]) ).
tff(c_26,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_109706,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_109651,c_26]) ).
tff(c_109650,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_109655,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109650,c_4]) ).
tff(c_109794,plain,
! [Z_738] : ( multiply(sk_c10,multiply(sk_c4,Z_738)) = multiply(identity,Z_738) ),
inference(superposition,[status(thm),theory(equality)],[c_109655,c_109755]) ).
tff(c_109919,plain,
! [Z_743] : ( multiply(sk_c10,multiply(sk_c4,Z_743)) = Z_743 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_109794]) ).
tff(c_109931,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_109706,c_109919]) ).
tff(c_109980,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_109971,c_109931]) ).
tff(c_109797,plain,
! [X_2,Z_738] : ( multiply(inverse(X_2),multiply(X_2,Z_738)) = multiply(identity,Z_738) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_109755]) ).
tff(c_111576,plain,
! [X_778,Z_779] : ( multiply(inverse(X_778),multiply(X_778,Z_779)) = Z_779 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_109797]) ).
tff(c_111606,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_109980,c_111576]) ).
tff(c_111648,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_111606]) ).
tff(c_109809,plain,
! [X_2,Z_738] : ( multiply(inverse(X_2),multiply(X_2,Z_738)) = Z_738 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_109797]) ).
tff(c_111886,plain,
! [X_782,Z_783] : ( multiply(inverse(inverse(X_782)),Z_783) = multiply(X_782,Z_783) ),
inference(superposition,[status(thm),theory(equality)],[c_109809,c_111576]) ).
tff(c_111639,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_111576]) ).
tff(c_111893,plain,
! [X_782] : ( multiply(X_782,identity) = X_782 ),
inference(superposition,[status(thm),theory(equality)],[c_111886,c_111639]) ).
tff(c_111907,plain,
! [X_782] : ( multiply(X_782,inverse(X_782)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_111886,c_4]) ).
tff(c_110137,plain,
! [X_749,Z_750] : ( multiply(inverse(X_749),multiply(X_749,Z_750)) = Z_750 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_109797]) ).
tff(c_110447,plain,
! [X_753,Z_754] : ( multiply(inverse(inverse(X_753)),Z_754) = multiply(X_753,Z_754) ),
inference(superposition,[status(thm),theory(equality)],[c_109809,c_110137]) ).
tff(c_110200,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_110137]) ).
tff(c_110454,plain,
! [X_753] : ( multiply(X_753,identity) = X_753 ),
inference(superposition,[status(thm),theory(equality)],[c_110447,c_110200]) ).
tff(c_110167,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_109980,c_110137]) ).
tff(c_110209,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_110167]) ).
tff(c_109835,plain,
! [Z_740] : ( multiply(sk_c10,multiply(sk_c7,Z_740)) = Z_740 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_109788]) ).
tff(c_109847,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_109730,c_109835]) ).
tff(c_109864,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_109847,c_109715]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_109697,plain,
multiply(sk_c5,sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_109651,c_28]) ).
tff(c_109876,plain,
multiply(sk_c5,sk_c6) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_109864,c_109697]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_109689,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_109651,c_30]) ).
tff(c_32,plain,
( ( multiply(sk_c6,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_109725,plain,
multiply(sk_c6,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_109651,c_32]) ).
tff(c_109874,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_109864,c_109725]) ).
tff(c_109811,plain,
! [X4_13] :
( ( multiply(inverse(X4_13),sk_c9) != sk_c10 )
| ( multiply(X4_13,inverse(X4_13)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_109903,plain,
! [X4_742] :
( ( multiply(inverse(X4_742),sk_c10) != sk_c10 )
| ( multiply(X4_742,inverse(X4_742)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109864,c_109811]) ).
tff(c_109905,plain,
( ( multiply(sk_c6,sk_c10) != sk_c10 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_109689,c_109903]) ).
tff(c_109917,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109876,c_109689,c_109874,c_109905]) ).
tff(c_109918,plain,
! [X6_7,X1_10,X3_8,X8_12] :
( ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c9 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c9 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_110009,plain,
! [X6_7,X1_10,X3_8,X8_12] :
( ( multiply(X6_7,sk_c10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(inverse(X3_8),sk_c10) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109971,c_109971,c_109971,c_109971,c_109971,c_109918]) ).
tff(c_110010,plain,
! [X8_12] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_110009]) ).
tff(c_111446,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_110454,c_110209,c_110209,c_2,c_110209,c_110209,c_110010]) ).
tff(c_109981,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_109971,c_109725]) ).
tff(c_109983,plain,
multiply(sk_c5,sk_c6) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_109971,c_109697]) ).
tff(c_109693,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109689,c_4]) ).
tff(c_109782,plain,
! [Z_738] : ( multiply(sk_c6,multiply(sk_c5,Z_738)) = multiply(identity,Z_738) ),
inference(superposition,[status(thm),theory(equality)],[c_109693,c_109755]) ).
tff(c_110022,plain,
! [Z_746] : ( multiply(sk_c6,multiply(sk_c5,Z_746)) = Z_746 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_109782]) ).
tff(c_110034,plain,
multiply(sk_c6,sk_c10) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_109983,c_110022]) ).
tff(c_110038,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_109981,c_110034]) ).
tff(c_110043,plain,
inverse(sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_110038,c_109689]) ).
tff(c_110097,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_110043,c_4]) ).
tff(c_110242,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_110209,c_110097]) ).
tff(c_110216,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_110209,c_110043]) ).
tff(c_110272,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_110242,c_110216]) ).
tff(c_111448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111446,c_110272]) ).
tff(c_111449,plain,
! [X3_8,X1_10,X6_7] :
( ( multiply(inverse(X3_8),sk_c10) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_110009]) ).
tff(c_119225,plain,
! [X3_8,X1_10,X6_7] :
( ( inverse(X3_8) != identity )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111648,c_111893,c_111648,c_111648,c_111648,c_111893,c_111648,c_111648,c_111907,c_111648,c_111893,c_111648,c_111648,c_111449]) ).
tff(c_119227,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_119225]) ).
tff(c_111461,plain,
! [Z_775] : ( multiply(sk_c6,multiply(sk_c5,Z_775)) = Z_775 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_109782]) ).
tff(c_111473,plain,
multiply(sk_c6,sk_c10) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_109983,c_111461]) ).
tff(c_111477,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_109981,c_111473]) ).
tff(c_111482,plain,
inverse(sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_111477,c_109689]) ).
tff(c_111536,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_111482,c_4]) ).
tff(c_111681,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_111648,c_111536]) ).
tff(c_111655,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_111648,c_111482]) ).
tff(c_111711,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_111681,c_111655]) ).
tff(c_119229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119227,c_111711]) ).
tff(c_119230,plain,
! [X1_10,X3_8] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X3_8) != identity ) ),
inference(splitRight,[status(thm)],[c_119225]) ).
tff(c_119231,plain,
! [X3_8] : ( inverse(X3_8) != identity ),
inference(splitLeft,[status(thm)],[c_119230]) ).
tff(c_119233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119231,c_111711]) ).
tff(c_119620,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_119230]) ).
tff(c_119622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119620,c_111711]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP210-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 22:12:41 EDT 2023
% 0.12/0.34 % CPUTime :
% 23.31/12.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.41/12.34
% 23.41/12.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 23.73/12.42
% 23.73/12.42 Inference rules
% 23.73/12.42 ----------------------
% 23.73/12.42 #Ref : 0
% 23.73/12.42 #Sup : 28669
% 23.73/12.42 #Fact : 0
% 23.73/12.42 #Define : 0
% 23.73/12.42 #Split : 45
% 23.73/12.42 #Chain : 0
% 23.73/12.42 #Close : 0
% 23.73/12.42
% 23.73/12.42 Ordering : KBO
% 23.73/12.42
% 23.73/12.42 Simplification rules
% 23.73/12.42 ----------------------
% 23.73/12.42 #Subsume : 7
% 23.73/12.42 #Demod : 94731
% 23.73/12.42 #Tautology : 23455
% 23.73/12.42 #SimpNegUnit : 90
% 23.73/12.42 #BackRed : 617
% 23.73/12.42
% 23.73/12.42 #Partial instantiations: 0
% 23.73/12.42 #Strategies tried : 1
% 23.73/12.42
% 23.73/12.42 Timing (in seconds)
% 23.73/12.42 ----------------------
% 23.73/12.42 Preprocessing : 0.55
% 23.73/12.42 Parsing : 0.21
% 23.73/12.42 CNF conversion : 0.03
% 23.73/12.42 Main loop : 10.73
% 23.73/12.42 Inferencing : 2.20
% 23.73/12.42 Reduction : 6.88
% 23.73/12.42 Demodulation : 6.44
% 23.73/12.42 BG Simplification : 0.18
% 23.73/12.42 Subsumption : 1.03
% 23.73/12.42 Abstraction : 0.49
% 23.73/12.42 MUC search : 0.00
% 23.73/12.42 Cooper : 0.00
% 23.73/12.42 Total : 11.41
% 23.73/12.42 Index Insertion : 0.00
% 23.73/12.42 Index Deletion : 0.00
% 23.73/12.42 Index Matching : 0.00
% 23.73/12.42 BG Taut test : 0.00
%------------------------------------------------------------------------------