TSTP Solution File: GRP292-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP292-1 : 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 : n002.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 10:40:48 EDT 2023
% Result : Unsatisfiable 24.95s 14.39s
% Output : CNFRefutation 24.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 31
% Syntax : Number of formulae : 403 ( 327 unt; 10 typ; 0 def)
% Number of atoms : 518 ( 501 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 281 ( 156 ~; 125 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 198 (; 198 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
! [X3,X4,X2,X1] :
( ( multiply(sk_c7,sk_c6) != sk_c5 )
| ( multiply(X3,sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c7 )
| ( multiply(X4,sk_c5) != sk_c6 )
| ( inverse(X4) != sk_c5 )
| ( multiply(sk_c5,sk_c6) != sk_c7 )
| ( multiply(X2,X1) != sk_c6 )
| ( inverse(X2) != X1 )
| ( multiply(X1,sk_c5) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c5 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( multiply(sk_c3,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c2) = sk_c5 )
| ( multiply(sk_c3,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c2) = sk_c5 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c2) = sk_c5 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
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_102266,plain,
! [X_470,Y_471,Z_472] : ( multiply(multiply(X_470,Y_471),Z_472) = multiply(X_470,multiply(Y_471,Z_472)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_102293,plain,
! [X_2,Z_472] : ( multiply(inverse(X_2),multiply(X_2,Z_472)) = multiply(identity,Z_472) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_102266]) ).
tff(c_102780,plain,
! [X_483,Z_484] : ( multiply(inverse(X_483),multiply(X_483,Z_484)) = Z_484 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102293]) ).
tff(c_102302,plain,
! [X_2,Z_472] : ( multiply(inverse(X_2),multiply(X_2,Z_472)) = Z_472 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102293]) ).
tff(c_104251,plain,
! [X_507,Z_508] : ( multiply(inverse(inverse(X_507)),Z_508) = multiply(X_507,Z_508) ),
inference(superposition,[status(thm),theory(equality)],[c_102780,c_102302]) ).
tff(c_102825,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_102780]) ).
tff(c_104295,plain,
! [X_509] : ( multiply(X_509,identity) = X_509 ),
inference(superposition,[status(thm),theory(equality)],[c_104251,c_102825]) ).
tff(c_12,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_91,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_20,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_98,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_28,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_77,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_81,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_77,c_4]) ).
tff(c_119,plain,
! [X_12,Y_13,Z_14] : ( multiply(multiply(X_12,Y_13),Z_14) = multiply(X_12,multiply(Y_13,Z_14)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_143,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_119]) ).
tff(c_161,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_143]) ).
tff(c_173,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_98,c_161]) ).
tff(c_177,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_91,c_173]) ).
tff(c_182,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_177,c_77]) ).
tff(c_180,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_177,c_91]) ).
tff(c_149,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_119]) ).
tff(c_258,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_149]) ).
tff(c_282,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_180,c_258]) ).
tff(c_313,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_282]) ).
tff(c_179,plain,
multiply(sk_c1,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_177,c_98]) ).
tff(c_356,plain,
multiply(sk_c1,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_313,c_179]) ).
tff(c_391,plain,
! [X_21] : ( multiply(inverse(identity),X_21) = X_21 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_258]) ).
tff(c_159,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_149]) ).
tff(c_550,plain,
! [X_24] : ( multiply(inverse(inverse(identity)),X_24) = X_24 ),
inference(superposition,[status(thm),theory(equality)],[c_391,c_159]) ).
tff(c_571,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_550,c_4]) ).
tff(c_628,plain,
! [X_25,Z_26] : ( multiply(inverse(inverse(X_25)),Z_26) = multiply(X_25,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_258]) ).
tff(c_675,plain,
! [X_25] : ( multiply(X_25,inverse(X_25)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_628]) ).
tff(c_157,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c1,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_143]) ).
tff(c_178,plain,
! [Z_14] : ( multiply(sk_c5,multiply(sk_c1,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_177,c_157]) ).
tff(c_306,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_258]) ).
tff(c_638,plain,
! [X_25] : ( multiply(X_25,identity) = X_25 ),
inference(superposition,[status(thm),theory(equality)],[c_628,c_306]) ).
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_1006,plain,
! [X_32,Y_33,Z_34] : ( multiply(inverse(multiply(X_32,Y_33)),multiply(X_32,multiply(Y_33,Z_34))) = Z_34 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_258]) ).
tff(c_1054,plain,
! [X_32,X_25] : ( multiply(inverse(multiply(X_32,X_25)),multiply(X_32,identity)) = inverse(X_25) ),
inference(superposition,[status(thm),theory(equality)],[c_675,c_1006]) ).
tff(c_2399,plain,
! [X_49,X_50] : ( multiply(inverse(multiply(X_49,X_50)),X_49) = inverse(X_50) ),
inference(demodulation,[status(thm),theory(equality)],[c_638,c_1054]) ).
tff(c_2552,plain,
! [Z_14] : ( multiply(inverse(Z_14),sk_c5) = inverse(multiply(sk_c1,Z_14)) ),
inference(superposition,[status(thm),theory(equality)],[c_178,c_2399]) ).
tff(c_48,plain,
! [X2_8,X4_7,X3_6] :
( ( multiply(inverse(X2_8),sk_c5) != sk_c6 )
| ( multiply(X2_8,inverse(X2_8)) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c7 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_209,plain,
! [X2_8,X4_7,X3_6] :
( ( multiply(inverse(X2_8),sk_c5) != sk_c6 )
| ( multiply(X2_8,inverse(X2_8)) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177,c_177,c_177,c_177,c_48]) ).
tff(c_210,plain,
multiply(sk_c5,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_209]) ).
tff(c_211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_210,c_180]) ).
tff(c_212,plain,
! [X3_6,X4_7,X2_8] :
( ( multiply(sk_c5,sk_c6) != sk_c5 )
| ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( multiply(inverse(X2_8),sk_c5) != sk_c6 )
| ( multiply(X2_8,inverse(X2_8)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_209]) ).
tff(c_6763,plain,
! [X3_6,X4_7,X2_8] :
( ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != identity )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != identity )
| ( inverse(multiply(sk_c1,X2_8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_675,c_313,c_2552,c_313,c_313,c_313,c_638,c_313,c_212]) ).
tff(c_6765,plain,
! [X2_88] : ( inverse(multiply(sk_c1,X2_88)) != identity ),
inference(splitLeft,[status(thm)],[c_6763]) ).
tff(c_6788,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_675,c_6765]) ).
tff(c_6804,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_571,c_6788]) ).
tff(c_6805,plain,
! [X3_6,X4_7] :
( ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != identity )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != identity ) ),
inference(splitRight,[status(thm)],[c_6763]) ).
tff(c_96248,plain,
! [X4_349] :
( ( inverse(X4_349) != sk_c5 )
| ( multiply(X4_349,sk_c5) != identity ) ),
inference(splitLeft,[status(thm)],[c_6805]) ).
tff(c_96334,plain,
inverse(sk_c1) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_356,c_96248]) ).
tff(c_96368,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_182,c_96334]) ).
tff(c_96370,plain,
! [X3_350] :
( ( inverse(X3_350) != sk_c5 )
| ( multiply(X3_350,sk_c5) != identity ) ),
inference(splitRight,[status(thm)],[c_6805]) ).
tff(c_96456,plain,
inverse(sk_c1) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_356,c_96370]) ).
tff(c_96490,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_182,c_96456]) ).
tff(c_96492,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_18,plain,
( ( multiply(sk_c3,sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_96513,plain,
multiply(sk_c3,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_96492,c_18]) ).
tff(c_96491,plain,
inverse(sk_c3) = sk_c4,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_96496,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_96491,c_4]) ).
tff(c_96532,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_96559,plain,
! [Z_353] : ( multiply(sk_c4,multiply(sk_c3,Z_353)) = multiply(identity,Z_353) ),
inference(superposition,[status(thm),theory(equality)],[c_96496,c_96532]) ).
tff(c_96800,plain,
! [Z_361] : ( multiply(sk_c4,multiply(sk_c3,Z_361)) = Z_361 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_96559]) ).
tff(c_96812,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_96513,c_96800]) ).
tff(c_96571,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_96532]) ).
tff(c_96862,plain,
! [X_363,Z_364] : ( multiply(inverse(X_363),multiply(X_363,Z_364)) = Z_364 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_96571]) ).
tff(c_96883,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_96812,c_96862]) ).
tff(c_96947,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_96883]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_96519,plain,
multiply(sk_c2,sk_c5) = sk_c6,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_44,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( inverse(sk_c2) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_65,plain,
inverse(sk_c2) = sk_c5,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_69,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65,c_4]) ).
tff(c_96568,plain,
! [Z_353] : ( multiply(sk_c5,multiply(sk_c2,Z_353)) = multiply(identity,Z_353) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_96532]) ).
tff(c_96689,plain,
! [Z_358] : ( multiply(sk_c5,multiply(sk_c2,Z_358)) = Z_358 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_96568]) ).
tff(c_96701,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_96519,c_96689]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_96525,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_96492,c_16]) ).
tff(c_96705,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_96701,c_96525]) ).
tff(c_96713,plain,
multiply(sk_c1,sk_c5) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_96705,c_96492]) ).
tff(c_96962,plain,
multiply(sk_c1,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_96947,c_96713]) ).
tff(c_96715,plain,
multiply(sk_c5,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_96705,c_81]) ).
tff(c_96550,plain,
! [Z_353] : ( multiply(sk_c2,multiply(sk_c5,Z_353)) = multiply(sk_c6,Z_353) ),
inference(superposition,[status(thm),theory(equality)],[c_96519,c_96532]) ).
tff(c_96758,plain,
multiply(sk_c6,sk_c1) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_96715,c_96550]) ).
tff(c_96957,plain,
multiply(sk_c2,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_96947,c_96758]) ).
tff(c_96968,plain,
multiply(sk_c2,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_96957]) ).
tff(c_96722,plain,
! [Z_359] : ( multiply(sk_c2,multiply(sk_c5,Z_359)) = multiply(sk_c6,Z_359) ),
inference(superposition,[status(thm),theory(equality)],[c_96519,c_96532]) ).
tff(c_96743,plain,
multiply(sk_c6,sk_c2) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_69,c_96722]) ).
tff(c_96960,plain,
multiply(sk_c2,identity) = multiply(identity,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_96947,c_96743]) ).
tff(c_96970,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_96960]) ).
tff(c_97117,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_96968,c_96970]) ).
tff(c_96965,plain,
multiply(sk_c2,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_96947,c_96519]) ).
tff(c_97119,plain,
multiply(sk_c1,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97117,c_96965]) ).
tff(c_97124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96962,c_97119]) ).
tff(c_97125,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_97229,plain,
! [X2_8,X4_7,X3_6] :
( ( multiply(inverse(X2_8),sk_c5) != sk_c6 )
| ( multiply(X2_8,inverse(X2_8)) != sk_c6 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91,c_97125,c_48]) ).
tff(c_97238,plain,
! [X3_373] :
( ( inverse(X3_373) != sk_c7 )
| ( multiply(X3_373,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_97229]) ).
tff(c_97246,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_97238]) ).
tff(c_97252,plain,
sk_c6 != identity,
inference(splitLeft,[status(thm)],[c_97246]) ).
tff(c_97137,plain,
! [X_367,Y_368,Z_369] : ( multiply(multiply(X_367,Y_368),Z_369) = multiply(X_367,multiply(Y_368,Z_369)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_97161,plain,
! [Z_369] : ( multiply(sk_c4,multiply(sk_c3,Z_369)) = multiply(identity,Z_369) ),
inference(superposition,[status(thm),theory(equality)],[c_96496,c_97137]) ).
tff(c_97212,plain,
! [Z_372] : ( multiply(sk_c4,multiply(sk_c3,Z_372)) = Z_372 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97161]) ).
tff(c_97224,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_96513,c_97212]) ).
tff(c_97173,plain,
! [X_2,Z_369] : ( multiply(inverse(X_2),multiply(X_2,Z_369)) = multiply(identity,Z_369) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_97137]) ).
tff(c_97253,plain,
! [X_374,Z_375] : ( multiply(inverse(X_374),multiply(X_374,Z_375)) = Z_375 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97173]) ).
tff(c_97271,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_97224,c_97253]) ).
tff(c_97323,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_97271]) ).
tff(c_97325,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97252,c_97323]) ).
tff(c_97327,plain,
sk_c6 = identity,
inference(splitRight,[status(thm)],[c_97246]) ).
tff(c_97126,plain,
multiply(sk_c2,sk_c5) != sk_c6,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_97331,plain,
multiply(sk_c2,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_97327,c_97126]) ).
tff(c_22,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_96507,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_96492,c_22]) ).
tff(c_97158,plain,
! [Z_369] : ( multiply(sk_c4,multiply(sk_c5,Z_369)) = multiply(sk_c6,Z_369) ),
inference(superposition,[status(thm),theory(equality)],[c_96507,c_97137]) ).
tff(c_97418,plain,
! [Z_377] : ( multiply(sk_c4,multiply(sk_c5,Z_377)) = Z_377 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97327,c_97158]) ).
tff(c_97439,plain,
multiply(sk_c4,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_69,c_97418]) ).
tff(c_97333,plain,
multiply(sk_c3,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97327,c_96513]) ).
tff(c_97479,plain,
! [X_378,Z_379] : ( multiply(inverse(X_378),multiply(X_378,Z_379)) = Z_379 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97173]) ).
tff(c_97509,plain,
multiply(inverse(sk_c3),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_97333,c_97479]) ).
tff(c_97544,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_96491,c_97509]) ).
tff(c_97596,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_97439,c_97544]) ).
tff(c_97334,plain,
multiply(sk_c4,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97327,c_96507]) ).
tff(c_97611,plain,
multiply(sk_c2,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97596,c_97334]) ).
tff(c_97616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97331,c_97611]) ).
tff(c_97618,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_10,plain,
( ( multiply(sk_c3,sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_97642,plain,
multiply(sk_c3,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_97618,c_10]) ).
tff(c_97617,plain,
inverse(sk_c3) = sk_c4,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_97622,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97617,c_4]) ).
tff(c_97661,plain,
! [X_381,Y_382,Z_383] : ( multiply(multiply(X_381,Y_382),Z_383) = multiply(X_381,multiply(Y_382,Z_383)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_97688,plain,
! [Z_383] : ( multiply(sk_c4,multiply(sk_c3,Z_383)) = multiply(identity,Z_383) ),
inference(superposition,[status(thm),theory(equality)],[c_97622,c_97661]) ).
tff(c_97749,plain,
! [Z_386] : ( multiply(sk_c4,multiply(sk_c3,Z_386)) = Z_386 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97688]) ).
tff(c_97761,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_97642,c_97749]) ).
tff(c_97697,plain,
! [X_2,Z_383] : ( multiply(inverse(X_2),multiply(X_2,Z_383)) = multiply(identity,Z_383) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_97661]) ).
tff(c_97813,plain,
! [X_388,Z_389] : ( multiply(inverse(X_388),multiply(X_388,Z_389)) = Z_389 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97697]) ).
tff(c_97840,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_97761,c_97813]) ).
tff(c_97897,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_97840]) ).
tff(c_8,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_97648,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_97618,c_8]) ).
tff(c_97910,plain,
multiply(sk_c5,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_97897,c_97648]) ).
tff(c_14,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_97654,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_97618,c_14]) ).
tff(c_97676,plain,
! [Z_383] : ( multiply(sk_c4,multiply(sk_c5,Z_383)) = multiply(sk_c6,Z_383) ),
inference(superposition,[status(thm),theory(equality)],[c_97654,c_97661]) ).
tff(c_98088,plain,
! [Z_392] : ( multiply(sk_c4,multiply(sk_c5,Z_392)) = Z_392 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97897,c_97676]) ).
tff(c_98112,plain,
multiply(sk_c4,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_69,c_98088]) ).
tff(c_97907,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_97897,c_97761]) ).
tff(c_98131,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_98112,c_97907]) ).
tff(c_98179,plain,
inverse(sk_c3) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_98131,c_97617]) ).
tff(c_97888,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_97813]) ).
tff(c_98187,plain,
multiply(inverse(sk_c2),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_98179,c_97888]) ).
tff(c_98196,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_97910,c_65,c_98187]) ).
tff(c_97636,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_97691,plain,
! [Z_383] : ( multiply(sk_c7,multiply(sk_c1,Z_383)) = multiply(identity,Z_383) ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_97661]) ).
tff(c_97710,plain,
! [Z_384] : ( multiply(sk_c7,multiply(sk_c1,Z_384)) = Z_384 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97691]) ).
tff(c_97722,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_97636,c_97710]) ).
tff(c_97726,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_97722,c_97618]) ).
tff(c_98201,plain,
sk_c5 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_98196,c_97726]) ).
tff(c_97682,plain,
! [Z_383] : ( multiply(sk_c3,multiply(sk_c4,Z_383)) = multiply(sk_c6,Z_383) ),
inference(superposition,[status(thm),theory(equality)],[c_97642,c_97661]) ).
tff(c_97922,plain,
! [Z_390] : ( multiply(sk_c3,multiply(sk_c4,Z_390)) = Z_390 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97897,c_97682]) ).
tff(c_97943,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_97622,c_97922]) ).
tff(c_97909,plain,
multiply(sk_c4,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97897,c_97654]) ).
tff(c_97921,plain,
! [Z_383] : ( multiply(sk_c3,multiply(sk_c4,Z_383)) = Z_383 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97897,c_97682]) ).
tff(c_97965,plain,
multiply(sk_c3,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_97909,c_97921]) ).
tff(c_98325,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_97943,c_97965]) ).
tff(c_98327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98201,c_98325]) ).
tff(c_98328,plain,
multiply(sk_c3,sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_98353,plain,
! [X_395,Y_396,Z_397] : ( multiply(multiply(X_395,Y_396),Z_397) = multiply(X_395,multiply(Y_396,Z_397)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_98377,plain,
! [Z_397] : ( multiply(sk_c4,multiply(sk_c3,Z_397)) = multiply(identity,Z_397) ),
inference(superposition,[status(thm),theory(equality)],[c_97622,c_98353]) ).
tff(c_98427,plain,
! [Z_400] : ( multiply(sk_c4,multiply(sk_c3,Z_400)) = Z_400 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98377]) ).
tff(c_98439,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_98328,c_98427]) ).
tff(c_98386,plain,
! [X_2,Z_397] : ( multiply(inverse(X_2),multiply(X_2,Z_397)) = multiply(identity,Z_397) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_98353]) ).
tff(c_98502,plain,
! [X_402,Z_403] : ( multiply(inverse(X_402),multiply(X_402,Z_403)) = Z_403 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98386]) ).
tff(c_98529,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_98439,c_98502]) ).
tff(c_98582,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_98529]) ).
tff(c_98443,plain,
! [Z_401] : ( multiply(sk_c3,multiply(sk_c4,Z_401)) = multiply(sk_c6,Z_401) ),
inference(superposition,[status(thm),theory(equality)],[c_98328,c_98353]) ).
tff(c_98464,plain,
multiply(sk_c6,sk_c3) = multiply(sk_c3,identity),
inference(superposition,[status(thm),theory(equality)],[c_97622,c_98443]) ).
tff(c_98619,plain,
multiply(sk_c3,identity) = multiply(identity,sk_c3),
inference(demodulation,[status(thm),theory(equality)],[c_98582,c_98464]) ).
tff(c_98630,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98619]) ).
tff(c_98329,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_98341,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_98329,c_22]) ).
tff(c_98461,plain,
multiply(sk_c6,sk_c5) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_98341,c_98443]) ).
tff(c_98618,plain,
multiply(sk_c3,identity) = multiply(identity,sk_c5),
inference(demodulation,[status(thm),theory(equality)],[c_98582,c_98582,c_98461]) ).
tff(c_98629,plain,
multiply(sk_c3,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98618]) ).
tff(c_98807,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_98630,c_98629]) ).
tff(c_98334,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_97618,c_8]) ).
tff(c_98624,plain,
multiply(sk_c5,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_98582,c_98334]) ).
tff(c_98371,plain,
! [Z_397] : ( multiply(sk_c5,multiply(sk_c6,Z_397)) = multiply(sk_c7,Z_397) ),
inference(superposition,[status(thm),theory(equality)],[c_98334,c_98353]) ).
tff(c_98728,plain,
! [Z_397] : ( multiply(sk_c7,Z_397) = multiply(sk_c5,Z_397) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98582,c_98371]) ).
tff(c_98627,plain,
multiply(sk_c7,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_98582,c_97618]) ).
tff(c_98729,plain,
multiply(sk_c5,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_98728,c_98627]) ).
tff(c_98730,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_98624,c_98729]) ).
tff(c_98809,plain,
sk_c7 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_98807,c_98730]) ).
tff(c_98811,plain,
multiply(sk_c3,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_98807,c_98624]) ).
tff(c_98816,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_98630,c_98811]) ).
tff(c_98821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98809,c_98816]) ).
tff(c_98822,plain,
inverse(sk_c3) = sk_c4,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_98827,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98822,c_4]) ).
tff(c_98865,plain,
! [X_408,Y_409,Z_410] : ( multiply(multiply(X_408,Y_409),Z_410) = multiply(X_408,multiply(Y_409,Z_410)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_98895,plain,
! [X_2,Z_410] : ( multiply(inverse(X_2),multiply(X_2,Z_410)) = multiply(identity,Z_410) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_98865]) ).
tff(c_99907,plain,
! [X_430,Z_431] : ( multiply(inverse(X_430),multiply(X_430,Z_431)) = Z_431 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98895]) ).
tff(c_99949,plain,
multiply(inverse(sk_c4),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_98827,c_99907]) ).
tff(c_98823,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_26,plain,
( ( multiply(sk_c3,sk_c4) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_98844,plain,
multiply(sk_c3,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_98823,c_26]) ).
tff(c_98889,plain,
! [Z_410] : ( multiply(sk_c4,multiply(sk_c3,Z_410)) = multiply(identity,Z_410) ),
inference(superposition,[status(thm),theory(equality)],[c_98827,c_98865]) ).
tff(c_99871,plain,
! [Z_428] : ( multiply(sk_c4,multiply(sk_c3,Z_428)) = Z_428 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98889]) ).
tff(c_99883,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_98844,c_99871]) ).
tff(c_99928,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_99883,c_99907]) ).
tff(c_99968,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99928]) ).
tff(c_30,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_98838,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_98823,c_30]) ).
tff(c_99946,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_98838,c_99907]) ).
tff(c_101287,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_99949,c_99968,c_99946]) ).
tff(c_101295,plain,
inverse(sk_c2) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_101287,c_65]) ).
tff(c_99972,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_99968,c_99883]) ).
tff(c_99955,plain,
multiply(inverse(sk_c5),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_69,c_99907]) ).
tff(c_101288,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_101287,c_99955]) ).
tff(c_101296,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_99972,c_98822,c_101288]) ).
tff(c_101308,plain,
inverse(sk_c3) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_101296,c_98822]) ).
tff(c_101323,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_101308,c_4]) ).
tff(c_100104,plain,
multiply(inverse(sk_c4),identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_99968,c_99946]) ).
tff(c_100187,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_99949,c_100104]) ).
tff(c_100205,plain,
inverse(sk_c2) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_100187,c_65]) ).
tff(c_99961,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_99907]) ).
tff(c_100218,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_100205,c_99961]) ).
tff(c_100227,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_99972,c_98822,c_100218]) ).
tff(c_100234,plain,
multiply(sk_c2,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_100227,c_98827]) ).
tff(c_98923,plain,
! [Z_412] : ( multiply(sk_c4,multiply(sk_c3,Z_412)) = Z_412 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98889]) ).
tff(c_98935,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_98844,c_98923]) ).
tff(c_98984,plain,
! [X_414,Z_415] : ( multiply(inverse(X_414),multiply(X_414,Z_415)) = Z_415 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98895]) ).
tff(c_99008,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_98935,c_98984]) ).
tff(c_99051,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99008]) ).
tff(c_24,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_98850,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_98823,c_24]) ).
tff(c_99060,plain,
multiply(sk_c5,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_99051,c_98850]) ).
tff(c_98939,plain,
! [Z_413] : ( multiply(sk_c4,multiply(sk_c5,Z_413)) = multiply(sk_c6,Z_413) ),
inference(superposition,[status(thm),theory(equality)],[c_98838,c_98865]) ).
tff(c_98957,plain,
multiply(sk_c6,sk_c2) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_69,c_98939]) ).
tff(c_99056,plain,
multiply(sk_c4,identity) = multiply(identity,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_99051,c_98957]) ).
tff(c_99064,plain,
multiply(sk_c4,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99056]) ).
tff(c_99057,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_99051,c_98935]) ).
tff(c_99205,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_99064,c_99057]) ).
tff(c_99226,plain,
multiply(sk_c2,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_99205,c_98827]) ).
tff(c_98905,plain,
! [X_2,Z_410] : ( multiply(inverse(X_2),multiply(X_2,Z_410)) = Z_410 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98895]) ).
tff(c_99262,plain,
multiply(inverse(sk_c2),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_99226,c_98905]) ).
tff(c_99271,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_99060,c_65,c_99262]) ).
tff(c_99275,plain,
multiply(sk_c5,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_99271,c_99060]) ).
tff(c_99029,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_98838,c_98984]) ).
tff(c_99327,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_65,c_99205,c_99051,c_99029]) ).
tff(c_99340,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_99275,c_99327]) ).
tff(c_99062,plain,
multiply(sk_c4,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_99051,c_98838]) ).
tff(c_99222,plain,
multiply(sk_c2,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_99205,c_99062]) ).
tff(c_98892,plain,
! [Z_410] : ( multiply(sk_c5,multiply(sk_c2,Z_410)) = multiply(identity,Z_410) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_98865]) ).
tff(c_98904,plain,
! [Z_410] : ( multiply(sk_c5,multiply(sk_c2,Z_410)) = Z_410 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98892]) ).
tff(c_99288,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_99222,c_98904]) ).
tff(c_99399,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_99340,c_99340,c_99288]) ).
tff(c_98908,plain,
! [X2_8,X4_7,X3_6] :
( ( multiply(inverse(X2_8),sk_c5) != sk_c6 )
| ( multiply(X2_8,inverse(X2_8)) != sk_c6 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98850,c_48]) ).
tff(c_98909,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_98908]) ).
tff(c_99059,plain,
multiply(sk_c7,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_99051,c_98909]) ).
tff(c_99326,plain,
multiply(sk_c3,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_99271,c_99059]) ).
tff(c_99353,plain,
multiply(sk_c3,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_99340,c_99326]) ).
tff(c_99425,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_99399,c_99353]) ).
tff(c_99427,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_98908]) ).
tff(c_99431,plain,
! [Z_5] : ( multiply(sk_c7,multiply(sk_c6,Z_5)) = multiply(sk_c5,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_99427,c_6]) ).
tff(c_100117,plain,
! [Z_433] : ( multiply(sk_c7,Z_433) = multiply(sk_c5,Z_433) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99968,c_99431]) ).
tff(c_99973,plain,
multiply(sk_c7,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_99968,c_99427]) ).
tff(c_100123,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_100117,c_99973]) ).
tff(c_99974,plain,
multiply(sk_c5,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_99968,c_98850]) ).
tff(c_100139,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_100123,c_99974]) ).
tff(c_100200,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_100187,c_100139]) ).
tff(c_99436,plain,
! [Z_420] : ( multiply(sk_c4,multiply(sk_c3,Z_420)) = Z_420 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98889]) ).
tff(c_99448,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_98844,c_99436]) ).
tff(c_99524,plain,
! [X_423,Z_424] : ( multiply(inverse(X_423),multiply(X_423,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98895]) ).
tff(c_99557,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_99448,c_99524]) ).
tff(c_99599,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99557]) ).
tff(c_99472,plain,
! [Z_422] : ( multiply(sk_c3,multiply(sk_c4,Z_422)) = multiply(sk_c6,Z_422) ),
inference(superposition,[status(thm),theory(equality)],[c_98844,c_98865]) ).
tff(c_99496,plain,
multiply(sk_c6,sk_c3) = multiply(sk_c3,identity),
inference(superposition,[status(thm),theory(equality)],[c_98827,c_99472]) ).
tff(c_99603,plain,
multiply(sk_c3,identity) = multiply(identity,sk_c3),
inference(demodulation,[status(thm),theory(equality)],[c_99599,c_99496]) ).
tff(c_99612,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99603]) ).
tff(c_99493,plain,
multiply(sk_c6,sk_c5) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_98838,c_99472]) ).
tff(c_99604,plain,
multiply(sk_c3,identity) = multiply(identity,sk_c5),
inference(demodulation,[status(thm),theory(equality)],[c_99599,c_99599,c_99493]) ).
tff(c_99613,plain,
multiply(sk_c3,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99604]) ).
tff(c_99738,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_99612,c_99613]) ).
tff(c_99743,plain,
multiply(sk_c3,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_99738,c_69]) ).
tff(c_99607,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_99599,c_99448]) ).
tff(c_99769,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_99743,c_98905]) ).
tff(c_99778,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_99607,c_98822,c_99769]) ).
tff(c_99786,plain,
inverse(sk_c3) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_99778,c_98822]) ).
tff(c_99426,plain,
! [X3_6,X4_7,X2_8] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( multiply(inverse(X2_8),sk_c5) != sk_c6 )
| ( multiply(X2_8,inverse(X2_8)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_98908]) ).
tff(c_99435,plain,
! [X2_8] :
( ( multiply(inverse(X2_8),sk_c5) != sk_c6 )
| ( multiply(X2_8,inverse(X2_8)) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_99426]) ).
tff(c_99621,plain,
! [X2_425] :
( ( multiply(inverse(X2_425),sk_c5) != identity )
| ( multiply(X2_425,inverse(X2_425)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99599,c_99599,c_99435]) ).
tff(c_99631,plain,
multiply(sk_c5,inverse(sk_c5)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_99621]) ).
tff(c_99869,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_99743,c_99786,c_99738,c_99738,c_99631]) ).
tff(c_99870,plain,
! [X4_7,X3_6] :
( ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_99426]) ).
tff(c_99981,plain,
! [X4_7,X3_6] :
( ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != identity )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99968,c_99968,c_99870]) ).
tff(c_99982,plain,
! [X3_6] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != identity ) ),
inference(splitLeft,[status(thm)],[c_99981]) ).
tff(c_101102,plain,
! [X3_450] :
( ( inverse(X3_450) != sk_c3 )
| ( multiply(X3_450,sk_c3) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100200,c_100200,c_99982]) ).
tff(c_101105,plain,
inverse(sk_c2) != sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_100234,c_101102]) ).
tff(c_101121,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100205,c_101105]) ).
tff(c_101122,plain,
! [X4_7] :
( ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != identity ) ),
inference(splitRight,[status(thm)],[c_99981]) ).
tff(c_102202,plain,
! [X4_469] :
( ( inverse(X4_469) != sk_c3 )
| ( multiply(X4_469,sk_c3) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101287,c_101287,c_101122]) ).
tff(c_102205,plain,
inverse(sk_c2) != sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_101323,c_102202]) ).
tff(c_102221,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_101295,c_102205]) ).
tff(c_102222,plain,
inverse(sk_c3) = sk_c4,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_102227,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102222,c_4]) ).
tff(c_102819,plain,
multiply(inverse(sk_c4),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_102227,c_102780]) ).
tff(c_104309,plain,
inverse(sk_c4) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_104295,c_102819]) ).
tff(c_102223,plain,
inverse(sk_c2) != sk_c5,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_42,plain,
( ( multiply(sk_c3,sk_c4) = sk_c6 )
| ( inverse(sk_c2) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_102236,plain,
multiply(sk_c3,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_102223,c_42]) ).
tff(c_102290,plain,
! [Z_472] : ( multiply(sk_c4,multiply(sk_c3,Z_472)) = multiply(identity,Z_472) ),
inference(superposition,[status(thm),theory(equality)],[c_102227,c_102266]) ).
tff(c_102304,plain,
! [Z_473] : ( multiply(sk_c4,multiply(sk_c3,Z_473)) = Z_473 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102290]) ).
tff(c_102316,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_102236,c_102304]) ).
tff(c_102798,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_102316,c_102780]) ).
tff(c_102832,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_102798]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_102241,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_102223,c_46]) ).
tff(c_102813,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_102241,c_102780]) ).
tff(c_104108,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_102819,c_102832,c_102813]) ).
tff(c_103184,plain,
! [X_489,Z_490] : ( multiply(inverse(inverse(X_489)),Z_490) = multiply(X_489,Z_490) ),
inference(superposition,[status(thm),theory(equality)],[c_102780,c_102302]) ).
tff(c_103241,plain,
! [X_491] : ( multiply(X_491,identity) = X_491 ),
inference(superposition,[status(thm),theory(equality)],[c_103184,c_102825]) ).
tff(c_103255,plain,
inverse(sk_c4) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_103241,c_102819]) ).
tff(c_102986,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_102819,c_102832,c_102813]) ).
tff(c_40,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_102246,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_102223,c_40]) ).
tff(c_102837,plain,
multiply(sk_c5,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_102832,c_102246]) ).
tff(c_102988,plain,
multiply(sk_c3,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_102986,c_102837]) ).
tff(c_103000,plain,
multiply(inverse(sk_c3),sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102988,c_102302]) ).
tff(c_103009,plain,
multiply(sk_c4,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102222,c_103000]) ).
tff(c_103062,plain,
multiply(inverse(sk_c4),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_103009,c_102302]) ).
tff(c_103069,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_102819,c_103062]) ).
tff(c_102598,plain,
! [X_479,Z_480] : ( multiply(inverse(X_479),multiply(X_479,Z_480)) = Z_480 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102293]) ).
tff(c_102616,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_102316,c_102598]) ).
tff(c_102650,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_102616]) ).
tff(c_102657,plain,
multiply(sk_c3,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102650,c_102236]) ).
tff(c_102656,plain,
multiply(sk_c4,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102650,c_102241]) ).
tff(c_102330,plain,
! [X_474,Z_475] : ( multiply(inverse(X_474),multiply(X_474,Z_475)) = Z_475 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102293]) ).
tff(c_102348,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_102316,c_102330]) ).
tff(c_102379,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_102348]) ).
tff(c_102287,plain,
! [Z_472] : ( multiply(sk_c3,multiply(sk_c4,Z_472)) = multiply(sk_c6,Z_472) ),
inference(superposition,[status(thm),theory(equality)],[c_102236,c_102266]) ).
tff(c_102478,plain,
! [Z_477] : ( multiply(sk_c3,multiply(sk_c4,Z_477)) = Z_477 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102379,c_102287]) ).
tff(c_102505,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_102227,c_102478]) ).
tff(c_102421,plain,
multiply(sk_c4,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102379,c_102241]) ).
tff(c_102496,plain,
multiply(sk_c3,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_102421,c_102478]) ).
tff(c_102529,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_102505,c_102496]) ).
tff(c_102420,plain,
multiply(sk_c5,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_102379,c_102246]) ).
tff(c_102567,plain,
multiply(sk_c3,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_102529,c_102420]) ).
tff(c_102570,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_102505,c_102567]) ).
tff(c_102321,plain,
! [X2_8,X4_7,X3_6] :
( ( multiply(inverse(X2_8),sk_c5) != sk_c6 )
| ( multiply(X2_8,inverse(X2_8)) != sk_c6 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102246,c_48]) ).
tff(c_102322,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_102321]) ).
tff(c_102419,plain,
multiply(sk_c7,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_102379,c_102322]) ).
tff(c_102565,plain,
multiply(sk_c7,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_102529,c_102419]) ).
tff(c_102580,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102505,c_102570,c_102565]) ).
tff(c_102581,plain,
! [X3_6,X4_7,X2_8] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( multiply(inverse(X2_8),sk_c5) != sk_c6 )
| ( multiply(X2_8,inverse(X2_8)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_102321]) ).
tff(c_102590,plain,
! [X2_8] :
( ( multiply(inverse(X2_8),sk_c5) != sk_c6 )
| ( multiply(X2_8,inverse(X2_8)) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_102581]) ).
tff(c_102759,plain,
! [X2_482] :
( ( multiply(inverse(X2_482),sk_c5) != identity )
| ( multiply(X2_482,inverse(X2_482)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102650,c_102650,c_102590]) ).
tff(c_102764,plain,
( ( multiply(sk_c4,sk_c5) != identity )
| ( multiply(sk_c3,inverse(sk_c3)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_102222,c_102759]) ).
tff(c_102771,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102657,c_102222,c_102656,c_102764]) ).
tff(c_102772,plain,
! [X4_7,X3_6] :
( ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_102581]) ).
tff(c_102940,plain,
! [X4_7,X3_6] :
( ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != identity )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102832,c_102832,c_102772]) ).
tff(c_102941,plain,
! [X3_6] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != identity ) ),
inference(splitLeft,[status(thm)],[c_102940]) ).
tff(c_104047,plain,
! [X3_503] :
( ( inverse(X3_503) != sk_c3 )
| ( multiply(X3_503,sk_c3) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103069,c_103069,c_102941]) ).
tff(c_104061,plain,
inverse(sk_c4) != sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_102227,c_104047]) ).
tff(c_104074,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_103255,c_104061]) ).
tff(c_104075,plain,
! [X4_7] :
( ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != identity ) ),
inference(splitRight,[status(thm)],[c_102940]) ).
tff(c_105114,plain,
! [X4_521] :
( ( inverse(X4_521) != sk_c3 )
| ( multiply(X4_521,sk_c3) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104108,c_104108,c_104075]) ).
tff(c_105128,plain,
inverse(sk_c4) != sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_102227,c_105114]) ).
tff(c_105141,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104309,c_105128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP292-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09 % 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
% 0.08/0.27 % Computer : n002.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Thu Aug 3 22:38:16 EDT 2023
% 0.08/0.28 % CPUTime :
% 24.95/14.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.95/14.45
% 24.95/14.45 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 24.95/14.52
% 24.95/14.52 Inference rules
% 24.95/14.52 ----------------------
% 24.95/14.52 #Ref : 0
% 24.95/14.52 #Sup : 24947
% 24.95/14.52 #Fact : 0
% 24.95/14.52 #Define : 0
% 24.95/14.52 #Split : 21
% 24.95/14.52 #Chain : 0
% 24.95/14.52 #Close : 0
% 24.95/14.52
% 24.95/14.52 Ordering : KBO
% 24.95/14.52
% 24.95/14.52 Simplification rules
% 24.95/14.52 ----------------------
% 24.95/14.52 #Subsume : 4
% 24.95/14.52 #Demod : 90517
% 24.95/14.52 #Tautology : 20459
% 24.95/14.52 #SimpNegUnit : 25
% 24.95/14.52 #BackRed : 273
% 24.95/14.52
% 24.95/14.52 #Partial instantiations: 0
% 24.95/14.52 #Strategies tried : 1
% 24.95/14.52
% 24.95/14.52 Timing (in seconds)
% 24.95/14.52 ----------------------
% 24.95/14.53 Preprocessing : 0.49
% 24.95/14.53 Parsing : 0.21
% 24.95/14.53 CNF conversion : 0.02
% 24.95/14.53 Main loop : 13.05
% 24.95/14.53 Inferencing : 1.79
% 24.95/14.53 Reduction : 9.58
% 24.95/14.53 Demodulation : 9.25
% 24.95/14.53 BG Simplification : 0.14
% 24.95/14.53 Subsumption : 1.08
% 24.95/14.53 Abstraction : 0.39
% 24.95/14.53 MUC search : 0.00
% 24.95/14.53 Cooper : 0.00
% 24.95/14.53 Total : 13.68
% 24.95/14.53 Index Insertion : 0.00
% 24.95/14.53 Index Deletion : 0.00
% 24.95/14.53 Index Matching : 0.00
% 24.95/14.53 BG Taut test : 0.00
%------------------------------------------------------------------------------