TSTP Solution File: GRP334-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP334-1 : 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 : n007.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 10:40:58 EDT 2023
% Result : Unsatisfiable 11.67s 4.12s
% Output : CNFRefutation 11.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 33
% Syntax : Number of formulae : 259 ( 198 unt; 10 typ; 0 def)
% Number of atoms : 370 ( 355 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 242 ( 121 ~; 121 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 117 (; 117 !; 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_63,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file(unknown,unknown) ).
tff(f_66,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_81,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_123,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_108,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_153,axiom,
! [X3,X4,X1,X2] :
( ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(X3,sk_c6) != sk_c7 )
| ( inverse(X3) != sk_c6 )
| ( inverse(X4) != sk_c6 )
| ( multiply(X4,sk_c5) != sk_c6 )
| ( inverse(sk_c6) != sk_c5 )
| ( inverse(sk_c7) != sk_c5 )
| ( multiply(sk_c6,X1) != sk_c5 )
| ( multiply(X2,sk_c6) != X1 )
| ( inverse(X2) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_72,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_78,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_75,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_117,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_111,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_114,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( inverse(sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_84,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_87,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_90,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_93,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_102,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_96,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_99,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_105,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c4 ) ),
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_18709,plain,
! [X_240,Y_241,Z_242] : ( multiply(multiply(X_240,Y_241),Z_242) = multiply(X_240,multiply(Y_241,Z_242)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18739,plain,
! [X_2,Z_242] : ( multiply(inverse(X_2),multiply(X_2,Z_242)) = multiply(identity,Z_242) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18709]) ).
tff(c_18991,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_18739]) ).
tff(c_18753,plain,
! [X_2,Z_242] : ( multiply(inverse(X_2),multiply(X_2,Z_242)) = Z_242 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18739]) ).
tff(c_19069,plain,
! [X_252,Z_253] : ( multiply(inverse(inverse(X_252)),Z_253) = multiply(X_252,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_18991,c_18753]) ).
tff(c_19012,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18991]) ).
tff(c_19076,plain,
! [X_252] : ( multiply(X_252,identity) = X_252 ),
inference(superposition,[status(thm),theory(equality)],[c_19069,c_19012]) ).
tff(c_10091,plain,
! [X_140,Y_141,Z_142] : ( multiply(multiply(X_140,Y_141),Z_142) = multiply(X_140,multiply(Y_141,Z_142)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10124,plain,
! [X_2,Z_142] : ( multiply(inverse(X_2),multiply(X_2,Z_142)) = multiply(identity,Z_142) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10091]) ).
tff(c_10275,plain,
! [X_145,Z_146] : ( multiply(inverse(X_145),multiply(X_145,Z_146)) = Z_146 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10124]) ).
tff(c_10139,plain,
! [X_2,Z_142] : ( multiply(inverse(X_2),multiply(X_2,Z_142)) = Z_142 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10124]) ).
tff(c_10518,plain,
! [X_151,Z_152] : ( multiply(inverse(inverse(X_151)),Z_152) = multiply(X_151,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_10275,c_10139]) ).
tff(c_10305,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10275]) ).
tff(c_10535,plain,
! [X_151] : ( multiply(X_151,identity) = X_151 ),
inference(superposition,[status(thm),theory(equality)],[c_10518,c_10305]) ).
tff(c_123,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_150,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_123]) ).
tff(c_491,plain,
! [X_20,Z_21] : ( multiply(inverse(X_20),multiply(X_20,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_150]) ).
tff(c_163,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_150]) ).
tff(c_731,plain,
! [X_23,Z_24] : ( multiply(inverse(inverse(X_23)),Z_24) = multiply(X_23,Z_24) ),
inference(superposition,[status(thm),theory(equality)],[c_491,c_163]) ).
tff(c_536,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_491]) ).
tff(c_738,plain,
! [X_23] : ( multiply(X_23,identity) = X_23 ),
inference(superposition,[status(thm),theory(equality)],[c_731,c_536]) ).
tff(c_8,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_10,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_110,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_20,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_81,plain,
inverse(sk_c1) = sk_c6,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_85,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_81,c_4]) ).
tff(c_144,plain,
! [Z_14] : ( multiply(sk_c6,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_123]) ).
tff(c_165,plain,
! [Z_15] : ( multiply(sk_c6,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_144]) ).
tff(c_177,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_110,c_165]) ).
tff(c_181,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_177]) ).
tff(c_48,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_101,plain,
multiply(sk_c2,sk_c5) = sk_c6,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_184,plain,
multiply(sk_c2,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_181,c_101]) ).
tff(c_38,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_73,plain,
inverse(sk_c2) = sk_c6,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_77,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_73,c_4]) ).
tff(c_147,plain,
! [Z_14] : ( multiply(sk_c6,multiply(sk_c2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_123]) ).
tff(c_162,plain,
! [Z_14] : ( multiply(sk_c6,multiply(sk_c2,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147]) ).
tff(c_250,plain,
! [Z_16] : ( multiply(sk_c5,multiply(sk_c2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_181,c_162]) ).
tff(c_262,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_184,c_250]) ).
tff(c_273,plain,
! [X_17,Z_18] : ( multiply(inverse(X_17),multiply(X_17,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_150]) ).
tff(c_291,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_262,c_273]) ).
tff(c_328,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_291]) ).
tff(c_50,plain,
! [X2_9,X4_7,X3_6] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(sk_c6,multiply(X2_9,sk_c6)) != sk_c5 )
| ( inverse(sk_c7) != sk_c5 )
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( inverse(X3_6) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_52,plain,
! [X2_9,X4_7,X3_6] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(sk_c6,multiply(X2_9,sk_c6)) != sk_c5 )
| ( inverse(sk_c7) != sk_c5 )
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( inverse(X3_6) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_50]) ).
tff(c_216,plain,
! [X2_9,X4_7,X3_6] :
( ( inverse(X2_9) != sk_c5 )
| ( multiply(sk_c5,multiply(X2_9,sk_c5)) != sk_c5 )
| ( inverse(sk_c7) != sk_c5 )
| ( inverse(sk_c5) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181,c_181,c_181,c_181,c_181,c_181,c_181,c_181,c_52]) ).
tff(c_217,plain,
inverse(sk_c5) != sk_c5,
inference(splitLeft,[status(thm)],[c_216]) ).
tff(c_343,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_328,c_328,c_217]) ).
tff(c_186,plain,
multiply(sk_c5,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_181,c_77]) ).
tff(c_342,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_328,c_186]) ).
tff(c_431,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_342,c_163]) ).
tff(c_443,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_431]) ).
tff(c_188,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_181,c_73]) ).
tff(c_345,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_328,c_188]) ).
tff(c_447,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_443,c_345]) ).
tff(c_450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343,c_447]) ).
tff(c_452,plain,
inverse(sk_c5) = sk_c5,
inference(splitRight,[status(thm)],[c_216]) ).
tff(c_509,plain,
multiply(inverse(sk_c5),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_186,c_491]) ).
tff(c_543,plain,
multiply(sk_c5,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_452,c_509]) ).
tff(c_189,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_181,c_8]) ).
tff(c_518,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_189,c_491]) ).
tff(c_546,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_518]) ).
tff(c_549,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_546,c_189]) ).
tff(c_590,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_543,c_549]) ).
tff(c_512,plain,
multiply(inverse(sk_c2),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_184,c_491]) ).
tff(c_544,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_188,c_512]) ).
tff(c_643,plain,
multiply(sk_c2,sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_590,c_590,c_590,c_544]) ).
tff(c_647,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_643,c_163]) ).
tff(c_653,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_647]) ).
tff(c_659,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_653,c_590]) ).
tff(c_608,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_590,c_590,c_452]) ).
tff(c_657,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_653,c_653,c_608]) ).
tff(c_451,plain,
! [X3_6,X4_7,X2_9] :
( ( inverse(sk_c7) != sk_c5 )
| ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( inverse(X2_9) != sk_c5 )
| ( multiply(sk_c5,multiply(X2_9,sk_c5)) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_216]) ).
tff(c_8621,plain,
! [X3_6,X4_7,X2_9] :
( ( inverse(X3_6) != identity )
| ( identity != X3_6 )
| ( identity != X4_7 )
| ( inverse(X4_7) != identity )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_738,c_659,c_659,c_2,c_659,c_659,c_659,c_738,c_659,c_659,c_738,c_659,c_546,c_659,c_657,c_659,c_546,c_451]) ).
tff(c_8623,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8621]) ).
tff(c_8625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8623,c_657]) ).
tff(c_8626,plain,
! [X4_7,X3_6] :
( ( identity != X4_7 )
| ( inverse(X4_7) != identity )
| ( inverse(X3_6) != identity )
| ( identity != X3_6 ) ),
inference(splitRight,[status(thm)],[c_8621]) ).
tff(c_8628,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8626]) ).
tff(c_8630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8628,c_657]) ).
tff(c_9029,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_8626]) ).
tff(c_9031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9029,c_657]) ).
tff(c_9033,plain,
multiply(sk_c1,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_14,plain,
( ( multiply(sk_c6,sk_c4) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_9078,plain,
multiply(sk_c6,sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_9033,c_14]) ).
tff(c_9032,plain,
inverse(sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_9037,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9032,c_4]) ).
tff(c_9083,plain,
! [X_115,Y_116,Z_117] : ( multiply(multiply(X_115,Y_116),Z_117) = multiply(X_115,multiply(Y_116,Z_117)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9110,plain,
! [Z_117] : ( multiply(sk_c5,multiply(sk_c6,Z_117)) = multiply(identity,Z_117) ),
inference(superposition,[status(thm),theory(equality)],[c_9037,c_9083]) ).
tff(c_9343,plain,
! [Z_126] : ( multiply(sk_c5,multiply(sk_c6,Z_126)) = Z_126 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9110]) ).
tff(c_9367,plain,
multiply(sk_c5,sk_c5) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_9078,c_9343]) ).
tff(c_9379,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_9343]) ).
tff(c_9398,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_9367,c_9379]) ).
tff(c_9402,plain,
multiply(sk_c1,sk_c6) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_9398,c_9033]) ).
tff(c_9373,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_85,c_9343]) ).
tff(c_18,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_9046,plain,
inverse(sk_c3) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_9033,c_18]) ).
tff(c_9050,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9046,c_4]) ).
tff(c_9370,plain,
multiply(sk_c5,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_9050,c_9343]) ).
tff(c_9446,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9373,c_9370]) ).
tff(c_16,plain,
( ( multiply(sk_c3,sk_c6) = sk_c4 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_9073,plain,
multiply(sk_c3,sk_c6) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_9033,c_16]) ).
tff(c_9447,plain,
multiply(sk_c1,sk_c6) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_9446,c_9073]) ).
tff(c_9451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9402,c_9447]) ).
tff(c_9453,plain,
multiply(sk_c2,sk_c5) != sk_c6,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_44,plain,
( ( multiply(sk_c6,sk_c4) = sk_c5 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_9811,plain,
multiply(sk_c6,sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_9453,c_44]) ).
tff(c_40,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_9466,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_9453,c_40]) ).
tff(c_9470,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9466,c_4]) ).
tff(c_9820,plain,
! [X_133,Y_134,Z_135] : ( multiply(multiply(X_133,Y_134),Z_135) = multiply(X_133,multiply(Y_134,Z_135)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9844,plain,
! [Z_135] : ( multiply(sk_c5,multiply(sk_c6,Z_135)) = multiply(identity,Z_135) ),
inference(superposition,[status(thm),theory(equality)],[c_9470,c_9820]) ).
tff(c_9913,plain,
! [Z_139] : ( multiply(sk_c5,multiply(sk_c6,Z_139)) = Z_139 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9844]) ).
tff(c_9934,plain,
multiply(sk_c5,sk_c5) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_9811,c_9913]) ).
tff(c_9946,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_9913]) ).
tff(c_9986,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_9934,c_9946]) ).
tff(c_42,plain,
( ( inverse(sk_c7) = sk_c5 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_9483,plain,
inverse(sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_9453,c_42]) ).
tff(c_9487,plain,
multiply(sk_c5,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9483,c_4]) ).
tff(c_9496,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_9512,plain,
! [X_127,Y_128,Z_129] : ( multiply(multiply(X_127,Y_128),Z_129) = multiply(X_127,multiply(Y_128,Z_129)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9545,plain,
! [Z_129] : ( multiply(sk_c6,multiply(sk_c1,Z_129)) = multiply(identity,Z_129) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_9512]) ).
tff(c_9569,plain,
! [Z_130] : ( multiply(sk_c6,multiply(sk_c1,Z_130)) = Z_130 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9545]) ).
tff(c_9581,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9496,c_9569]) ).
tff(c_9585,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_9581]) ).
tff(c_9599,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9585,c_8]) ).
tff(c_9600,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9487,c_9599]) ).
tff(c_9596,plain,
multiply(sk_c5,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9585,c_77]) ).
tff(c_9794,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9600,c_9596]) ).
tff(c_9593,plain,
multiply(sk_c2,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9585,c_9453]) ).
tff(c_9804,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9794,c_9600,c_9600,c_9593]) ).
tff(c_9806,plain,
multiply(sk_c1,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_9988,plain,
multiply(sk_c1,sk_c6) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_9986,c_9806]) ).
tff(c_9940,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_85,c_9913]) ).
tff(c_9452,plain,
inverse(sk_c3) = sk_c6,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_9457,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9452,c_4]) ).
tff(c_9937,plain,
multiply(sk_c5,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_9457,c_9913]) ).
tff(c_9965,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9940,c_9937]) ).
tff(c_9805,plain,
multiply(sk_c3,sk_c6) = sk_c4,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_9977,plain,
multiply(sk_c1,sk_c6) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_9965,c_9805]) ).
tff(c_10025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9988,c_9977]) ).
tff(c_10027,plain,
inverse(sk_c1) != sk_c6,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_22,plain,
( ( inverse(sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_10044,plain,
inverse(sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10027,c_22]) ).
tff(c_10048,plain,
multiply(sk_c5,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10044,c_4]) ).
tff(c_24,plain,
( ( multiply(sk_c6,sk_c4) = sk_c5 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_10082,plain,
multiply(sk_c6,sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10027,c_24]) ).
tff(c_26,plain,
( ( multiply(sk_c3,sk_c6) = sk_c4 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_10070,plain,
multiply(sk_c3,sk_c6) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_10027,c_26]) ).
tff(c_28,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_10056,plain,
inverse(sk_c3) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10027,c_28]) ).
tff(c_10060,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10056,c_4]) ).
tff(c_10112,plain,
! [Z_142] : ( multiply(sk_c6,multiply(sk_c3,Z_142)) = multiply(identity,Z_142) ),
inference(superposition,[status(thm),theory(equality)],[c_10060,c_10091]) ).
tff(c_10154,plain,
! [Z_144] : ( multiply(sk_c6,multiply(sk_c3,Z_144)) = Z_144 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10112]) ).
tff(c_10166,plain,
multiply(sk_c6,sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10070,c_10154]) ).
tff(c_10170,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10082,c_10166]) ).
tff(c_10182,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10170,c_8]) ).
tff(c_10183,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10048,c_10182]) ).
tff(c_10189,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10183,c_10048]) ).
tff(c_10365,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10189,c_10139]) ).
tff(c_10377,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10365]) ).
tff(c_10026,plain,
inverse(sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_10180,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10170,c_10026]) ).
tff(c_10312,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10183,c_10183,c_10180]) ).
tff(c_10224,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10183,c_10183,c_10180]) ).
tff(c_10188,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10183,c_10170]) ).
tff(c_10207,plain,
! [X2_9,X4_7,X3_6] :
( ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != identity )
| ( inverse(sk_c7) != identity )
| ( inverse(identity) != identity )
| ( multiply(X4_7,identity) != identity )
| ( inverse(X4_7) != identity )
| ( inverse(X3_6) != identity )
| ( multiply(X3_6,identity) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10188,c_10188,c_10188,c_10188,c_10183,c_10188,c_10183,c_10183,c_10188,c_2,c_10188,c_10183,c_10188,c_52]) ).
tff(c_10208,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_10207]) ).
tff(c_10257,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10224,c_10208]) ).
tff(c_10258,plain,
! [X3_6,X4_7,X2_9] :
( ( inverse(sk_c7) != identity )
| ( inverse(X3_6) != identity )
| ( multiply(X3_6,identity) != sk_c7 )
| ( multiply(X4_7,identity) != identity )
| ( inverse(X4_7) != identity )
| ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_10207]) ).
tff(c_18632,plain,
! [X3_6,X4_7,X2_9] :
( ( inverse(X3_6) != identity )
| ( identity != X3_6 )
| ( identity != X4_7 )
| ( inverse(X4_7) != identity )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10535,c_10535,c_10535,c_10377,c_10312,c_10377,c_10258]) ).
tff(c_18634,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_18632]) ).
tff(c_18636,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18634,c_10312]) ).
tff(c_18637,plain,
! [X4_7,X3_6] :
( ( identity != X4_7 )
| ( inverse(X4_7) != identity )
| ( inverse(X3_6) != identity )
| ( identity != X3_6 ) ),
inference(splitRight,[status(thm)],[c_18632]) ).
tff(c_18639,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_18637]) ).
tff(c_18641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18639,c_10312]) ).
tff(c_18644,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_18637]) ).
tff(c_18646,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18644,c_10312]) ).
tff(c_18648,plain,
inverse(sk_c2) != sk_c6,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_34,plain,
( ( multiply(sk_c6,sk_c4) = sk_c5 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_18692,plain,
multiply(sk_c6,sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_18648,c_34]) ).
tff(c_30,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_18668,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_18648,c_30]) ).
tff(c_18672,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18668,c_4]) ).
tff(c_18730,plain,
! [Z_242] : ( multiply(sk_c5,multiply(sk_c6,Z_242)) = multiply(identity,Z_242) ),
inference(superposition,[status(thm),theory(equality)],[c_18672,c_18709]) ).
tff(c_18755,plain,
! [Z_243] : ( multiply(sk_c5,multiply(sk_c6,Z_243)) = Z_243 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18730]) ).
tff(c_18767,plain,
multiply(sk_c5,sk_c5) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_18692,c_18755]) ).
tff(c_18773,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_18755]) ).
tff(c_18792,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_18767,c_18773]) ).
tff(c_32,plain,
( ( inverse(sk_c7) = sk_c5 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_18660,plain,
inverse(sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_18648,c_32]) ).
tff(c_18664,plain,
multiply(sk_c5,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18660,c_4]) ).
tff(c_18793,plain,
multiply(sk_c5,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18792,c_18664]) ).
tff(c_36,plain,
( ( multiply(sk_c3,sk_c6) = sk_c4 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_18687,plain,
multiply(sk_c3,sk_c6) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_18648,c_36]) ).
tff(c_18647,plain,
inverse(sk_c3) = sk_c6,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_18652,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18647,c_4]) ).
tff(c_18736,plain,
! [Z_242] : ( multiply(sk_c6,multiply(sk_c3,Z_242)) = multiply(identity,Z_242) ),
inference(superposition,[status(thm),theory(equality)],[c_18652,c_18709]) ).
tff(c_18817,plain,
! [Z_244] : ( multiply(sk_c6,multiply(sk_c3,Z_244)) = Z_244 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18736]) ).
tff(c_18832,plain,
multiply(sk_c6,sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18687,c_18817]) ).
tff(c_18836,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18692,c_18832]) ).
tff(c_18839,plain,
multiply(sk_c5,sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18836,c_18692]) ).
tff(c_18846,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18793,c_18839]) ).
tff(c_18951,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_18846,c_18846,c_18767]) ).
tff(c_18953,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18951]) ).
tff(c_18858,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_18846,c_18846,c_18767]) ).
tff(c_18860,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18858]) ).
tff(c_18794,plain,
inverse(sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18792,c_18660]) ).
tff(c_18856,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18846,c_18794]) ).
tff(c_18899,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18860,c_18856]) ).
tff(c_18852,plain,
! [X2_9,X4_7,X3_6] :
( ( inverse(X2_9) != sk_c5 )
| ( multiply(sk_c5,multiply(X2_9,sk_c5)) != sk_c5 )
| ( inverse(sk_c5) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18836,c_18792,c_18836,c_18836,c_18836,c_18836,c_18794,c_18792,c_18836,c_18836,c_18836,c_52]) ).
tff(c_18853,plain,
inverse(sk_c5) != sk_c5,
inference(splitLeft,[status(thm)],[c_18852]) ).
tff(c_18944,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18899,c_18846,c_18846,c_18853]) ).
tff(c_18945,plain,
! [X3_6,X4_7,X2_9] :
( ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c4 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( inverse(X2_9) != sk_c5 )
| ( multiply(sk_c5,multiply(X2_9,sk_c5)) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_18852]) ).
tff(c_25869,plain,
! [X3_6,X4_7,X2_9] :
( ( inverse(X3_6) != identity )
| ( identity != X3_6 )
| ( identity != X4_7 )
| ( inverse(X4_7) != identity )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19076,c_18846,c_18846,c_2,c_18846,c_18846,c_18846,c_19076,c_18846,c_18846,c_19076,c_18953,c_18846,c_18846,c_18945]) ).
tff(c_25871,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_25869]) ).
tff(c_18842,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18836,c_18668]) ).
tff(c_19019,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18846,c_18846,c_18842]) ).
tff(c_25873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25871,c_19019]) ).
tff(c_25874,plain,
! [X4_7,X3_6] :
( ( identity != X4_7 )
| ( inverse(X4_7) != identity )
| ( inverse(X3_6) != identity )
| ( identity != X3_6 ) ),
inference(splitRight,[status(thm)],[c_25869]) ).
tff(c_25876,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_25874]) ).
tff(c_25878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25876,c_19019]) ).
tff(c_25881,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_25874]) ).
tff(c_25883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25881,c_19019]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP334-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 21:55:24 EDT 2023
% 0.15/0.37 % CPUTime :
% 11.67/4.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.67/4.14
% 11.67/4.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.67/4.19
% 11.67/4.19 Inference rules
% 11.67/4.19 ----------------------
% 11.67/4.19 #Ref : 0
% 11.67/4.19 #Sup : 6335
% 11.67/4.19 #Fact : 0
% 11.67/4.19 #Define : 0
% 11.67/4.19 #Split : 18
% 11.67/4.19 #Chain : 0
% 11.67/4.19 #Close : 0
% 11.67/4.19
% 11.67/4.19 Ordering : KBO
% 11.67/4.19
% 11.67/4.19 Simplification rules
% 11.67/4.19 ----------------------
% 11.67/4.19 #Subsume : 0
% 11.67/4.19 #Demod : 15418
% 11.67/4.19 #Tautology : 5074
% 11.67/4.19 #SimpNegUnit : 32
% 11.67/4.19 #BackRed : 172
% 11.67/4.19
% 11.67/4.19 #Partial instantiations: 0
% 11.67/4.19 #Strategies tried : 1
% 11.67/4.19
% 11.67/4.19 Timing (in seconds)
% 11.67/4.19 ----------------------
% 11.67/4.19 Preprocessing : 0.49
% 11.67/4.19 Parsing : 0.20
% 11.67/4.19 CNF conversion : 0.03
% 11.67/4.19 Main loop : 2.57
% 11.67/4.19 Inferencing : 0.81
% 11.67/4.19 Reduction : 1.25
% 11.67/4.19 Demodulation : 1.11
% 11.67/4.19 BG Simplification : 0.09
% 11.67/4.19 Subsumption : 0.26
% 11.67/4.19 Abstraction : 0.16
% 11.67/4.19 MUC search : 0.00
% 11.67/4.19 Cooper : 0.00
% 11.67/4.20 Total : 3.15
% 11.67/4.20 Index Insertion : 0.00
% 11.67/4.20 Index Deletion : 0.00
% 11.67/4.20 Index Matching : 0.00
% 11.67/4.20 BG Taut test : 0.00
%------------------------------------------------------------------------------