TSTP Solution File: GRP097-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP097-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n014.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 10:39:50 EDT 2023
% Result : Unsatisfiable 29.70s 16.92s
% Output : CNFRefutation 29.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 134 ( 118 unt; 12 typ; 0 def)
% Number of atoms : 131 ( 127 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 23 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 268 (; 268 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > divide > #nlpp > inverse > c3 > b4 > b3 > b2 > b1 > a4 > a3 > a2 > a1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a1,type,
a1: $i ).
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(b2,type,
b2: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b1,type,
b1: $i ).
tff(b4,type,
b4: $i ).
tff(b3,type,
b3: $i ).
tff(a2,type,
a2: $i ).
tff(a4,type,
a4: $i ).
tff(f_26,axiom,
! [X,Y,Z] : ( divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))) = Y ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [X,Y] : ( multiply(X,Y) = divide(X,inverse(Y)) ),
file(unknown,unknown) ).
tff(f_40,axiom,
( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(a4,b4) != multiply(b4,a4) ) ),
file(unknown,unknown) ).
tff(c_16,plain,
! [X_8,Y_9,Z_10] : ( divide(X_8,inverse(divide(divide(Y_9,Z_10),divide(X_8,Z_10)))) = Y_9 ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_4,plain,
! [X_4,Y_5] : ( divide(X_4,inverse(Y_5)) = multiply(X_4,Y_5) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_28,plain,
! [X_8,Y_9,Z_10] : ( multiply(X_8,divide(divide(Y_9,Z_10),divide(X_8,Z_10))) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_4]) ).
tff(c_2,plain,
! [X_1,Y_2,Z_3] : ( divide(X_1,inverse(divide(divide(Y_2,Z_3),divide(X_1,Z_3)))) = Y_2 ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_31,plain,
! [X_8,Y_2,Z_3,X_1] : ( divide(X_8,inverse(divide(Y_2,divide(X_8,inverse(divide(divide(Y_2,Z_3),divide(X_1,Z_3))))))) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_16]) ).
tff(c_15862,plain,
! [X_271,Y_272,Z_273,X_274] : ( multiply(X_271,divide(Y_272,multiply(X_271,divide(divide(Y_272,Z_273),divide(X_274,Z_273))))) = X_274 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_31]) ).
tff(c_15877,plain,
! [X_8,Y_9] : ( multiply(X_8,divide(Y_9,Y_9)) = X_8 ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_15862]) ).
tff(c_15897,plain,
! [X_275,Y_276] : ( multiply(X_275,divide(Y_276,Y_276)) = X_275 ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_15862]) ).
tff(c_51,plain,
! [X_8,Y_2,Z_3,X_1] : ( multiply(X_8,divide(Y_2,multiply(X_8,divide(divide(Y_2,Z_3),divide(X_1,Z_3))))) = X_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_31]) ).
tff(c_15942,plain,
! [X_277,Y_278] : ( multiply(X_277,divide(Y_278,X_277)) = Y_278 ),
inference(superposition,[status(thm),theory(equality)],[c_15897,c_51]) ).
tff(c_16011,plain,
! [Y_281,X_282] : ( multiply(inverse(Y_281),multiply(X_282,Y_281)) = X_282 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15942]) ).
tff(c_16046,plain,
! [Y_9,X_8] : ( multiply(inverse(divide(Y_9,Y_9)),X_8) = X_8 ),
inference(superposition,[status(thm),theory(equality)],[c_15877,c_16011]) ).
tff(c_43,plain,
! [X_4,Y_9,Y_5] : ( divide(X_4,inverse(divide(divide(Y_9,inverse(Y_5)),multiply(X_4,Y_5)))) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16]) ).
tff(c_55,plain,
! [X_4,Y_9,Y_5] : ( multiply(X_4,divide(multiply(Y_9,Y_5),multiply(X_4,Y_5))) = Y_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_43]) ).
tff(c_16164,plain,
! [Y_287,X_288] : ( multiply(inverse(divide(Y_287,Y_287)),X_288) = X_288 ),
inference(superposition,[status(thm),theory(equality)],[c_15877,c_16011]) ).
tff(c_16271,plain,
! [Y_9,Y_5,Y_287] : ( divide(multiply(Y_9,Y_5),multiply(inverse(divide(Y_287,Y_287)),Y_5)) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_55,c_16164]) ).
tff(c_16324,plain,
! [Y_289,Y_290] : ( divide(multiply(Y_289,Y_290),Y_290) = Y_289 ),
inference(demodulation,[status(thm),theory(equality)],[c_16046,c_16271]) ).
tff(c_15904,plain,
! [X_275,Y_2] : ( multiply(X_275,divide(Y_2,X_275)) = Y_2 ),
inference(superposition,[status(thm),theory(equality)],[c_15897,c_51]) ).
tff(c_16333,plain,
! [Y_290,Y_289] : ( multiply(Y_290,Y_289) = multiply(Y_289,Y_290) ),
inference(superposition,[status(thm),theory(equality)],[c_16324,c_15904]) ).
tff(c_50731,plain,
! [Y_563,Y_564,X_565] : ( divide(Y_563,divide(multiply(Y_563,Y_564),multiply(X_565,Y_564))) = X_565 ),
inference(superposition,[status(thm),theory(equality)],[c_55,c_16324]) ).
tff(c_16342,plain,
! [X_8,Y_289,Y_290] : ( multiply(X_8,divide(Y_289,divide(X_8,Y_290))) = multiply(Y_289,Y_290) ),
inference(superposition,[status(thm),theory(equality)],[c_16324,c_28]) ).
tff(c_50750,plain,
! [Y_563,Y_564,X_565] : ( multiply(multiply(Y_563,Y_564),X_565) = multiply(Y_563,multiply(X_565,Y_564)) ),
inference(superposition,[status(thm),theory(equality)],[c_50731,c_16342]) ).
tff(c_16376,plain,
! [Y_2,X_275] : ( divide(Y_2,divide(Y_2,X_275)) = X_275 ),
inference(superposition,[status(thm),theory(equality)],[c_15904,c_16324]) ).
tff(c_16043,plain,
! [Y_2,X_275] : ( multiply(inverse(divide(Y_2,X_275)),Y_2) = X_275 ),
inference(superposition,[status(thm),theory(equality)],[c_15904,c_16011]) ).
tff(c_16364,plain,
! [Y_2,X_275] : ( inverse(divide(Y_2,X_275)) = divide(X_275,Y_2) ),
inference(superposition,[status(thm),theory(equality)],[c_16043,c_16324]) ).
tff(c_16348,plain,
! [X_1,Y_289,Y_290] : ( divide(X_1,inverse(divide(Y_289,divide(X_1,Y_290)))) = multiply(Y_289,Y_290) ),
inference(superposition,[status(thm),theory(equality)],[c_16324,c_2]) ).
tff(c_31983,plain,
! [X_453,Y_454,Y_455] : ( divide(X_453,divide(divide(X_453,Y_454),Y_455)) = multiply(Y_455,Y_454) ),
inference(demodulation,[status(thm),theory(equality)],[c_16364,c_16348]) ).
tff(c_19427,plain,
! [X_1,Z_3,Y_2] : ( divide(X_1,divide(divide(X_1,Z_3),divide(Y_2,Z_3))) = Y_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_16364,c_2]) ).
tff(c_32059,plain,
! [X_1,Y_455,Y_454] : ( divide(divide(X_1,Y_455),Y_454) = divide(X_1,multiply(Y_455,Y_454)) ),
inference(superposition,[status(thm),theory(equality)],[c_31983,c_19427]) ).
tff(c_19433,plain,
! [Y_335,X_336] : ( inverse(divide(Y_335,X_336)) = divide(X_336,Y_335) ),
inference(superposition,[status(thm),theory(equality)],[c_16043,c_16324]) ).
tff(c_19465,plain,
! [X_4,Y_335,X_336] : ( multiply(X_4,divide(Y_335,X_336)) = divide(X_4,divide(X_336,Y_335)) ),
inference(superposition,[status(thm),theory(equality)],[c_19433,c_4]) ).
tff(c_31982,plain,
! [X_1,Y_290,Y_289] : ( divide(X_1,divide(divide(X_1,Y_290),Y_289)) = multiply(Y_289,Y_290) ),
inference(demodulation,[status(thm),theory(equality)],[c_16364,c_16348]) ).
tff(c_81,plain,
! [X_14,Y_15,Y_16] : ( multiply(X_14,divide(multiply(Y_15,Y_16),multiply(X_14,Y_16))) = Y_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_43]) ).
tff(c_20922,plain,
! [X_354,Y_355,Y_356,X_357] : ( multiply(X_354,divide(Y_355,multiply(X_354,divide(multiply(Y_355,Y_356),multiply(X_357,Y_356))))) = X_357 ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_55]) ).
tff(c_21119,plain,
! [X_354,X_8,X_357,Y_9] : ( multiply(X_354,divide(X_8,multiply(X_354,divide(X_8,multiply(X_357,divide(Y_9,Y_9)))))) = X_357 ),
inference(superposition,[status(thm),theory(equality)],[c_15877,c_20922]) ).
tff(c_26093,plain,
! [X_405,X_406,X_407] : ( multiply(X_405,divide(X_406,multiply(X_405,divide(X_406,X_407)))) = X_407 ),
inference(demodulation,[status(thm),theory(equality)],[c_15877,c_21119]) ).
tff(c_29821,plain,
! [X_435,X_436,Y_437] : ( multiply(X_435,divide(X_436,multiply(X_435,multiply(X_436,Y_437)))) = inverse(Y_437) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26093]) ).
tff(c_30053,plain,
! [X_435,X_275,Y_2] : ( multiply(X_435,divide(X_275,multiply(X_435,Y_2))) = inverse(divide(Y_2,X_275)) ),
inference(superposition,[status(thm),theory(equality)],[c_15904,c_29821]) ).
tff(c_51927,plain,
! [X_569,X_570,Y_571] : ( multiply(X_569,divide(X_570,multiply(X_569,Y_571))) = divide(X_570,Y_571) ),
inference(demodulation,[status(thm),theory(equality)],[c_16364,c_30053]) ).
tff(c_26328,plain,
! [X_405,X_4,Y_5] : ( multiply(X_405,divide(X_4,multiply(X_405,multiply(X_4,Y_5)))) = inverse(Y_5) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26093]) ).
tff(c_52017,plain,
! [X_405,X_569,X_570,Y_571] : ( multiply(X_405,divide(X_569,multiply(X_405,divide(X_570,Y_571)))) = inverse(divide(X_570,multiply(X_569,Y_571))) ),
inference(superposition,[status(thm),theory(equality)],[c_51927,c_26328]) ).
tff(c_52330,plain,
! [X_569,Y_571,X_570] : ( divide(multiply(X_569,Y_571),X_570) = divide(X_569,divide(X_570,Y_571)) ),
inference(demodulation,[status(thm),theory(equality)],[c_19465,c_31982,c_19465,c_19465,c_16364,c_52017]) ).
tff(c_16104,plain,
! [Y_285,X_286] : ( multiply(inverse(divide(Y_285,X_286)),Y_285) = X_286 ),
inference(superposition,[status(thm),theory(equality)],[c_15904,c_16011]) ).
tff(c_16161,plain,
! [X_4,Y_5] : ( multiply(inverse(multiply(X_4,Y_5)),X_4) = inverse(Y_5) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16104]) ).
tff(c_52050,plain,
! [X_570,Y_571,X_569] : ( multiply(inverse(divide(X_570,Y_571)),X_569) = inverse(divide(X_570,multiply(X_569,Y_571))) ),
inference(superposition,[status(thm),theory(equality)],[c_51927,c_16161]) ).
tff(c_52338,plain,
! [Y_571,X_570,X_569] : ( multiply(divide(Y_571,X_570),X_569) = divide(multiply(X_569,Y_571),X_570) ),
inference(demodulation,[status(thm),theory(equality)],[c_16364,c_16364,c_52050]) ).
tff(c_70854,plain,
! [Y_571,X_570,X_569] : ( multiply(divide(Y_571,X_570),X_569) = divide(X_569,divide(X_570,Y_571)) ),
inference(demodulation,[status(thm),theory(equality)],[c_52330,c_52338]) ).
tff(c_16583,plain,
! [Y_295,X_296] : ( divide(Y_295,divide(Y_295,X_296)) = X_296 ),
inference(superposition,[status(thm),theory(equality)],[c_15904,c_16324]) ).
tff(c_16596,plain,
! [X_296,Y_295] : ( multiply(inverse(X_296),Y_295) = divide(Y_295,X_296) ),
inference(superposition,[status(thm),theory(equality)],[c_16583,c_16043]) ).
tff(c_15972,plain,
! [Y_5,X_4] : ( multiply(inverse(Y_5),multiply(X_4,Y_5)) = X_4 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15942]) ).
tff(c_22920,plain,
! [X_373,Y_374] : ( multiply(inverse(multiply(X_373,Y_374)),X_373) = inverse(Y_374) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16104]) ).
tff(c_23073,plain,
! [X_4,Y_5] : ( multiply(inverse(X_4),inverse(Y_5)) = inverse(multiply(X_4,Y_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_15972,c_22920]) ).
tff(c_52117,plain,
! [X_4,X_570,Y_5] : ( multiply(inverse(X_4),divide(X_570,inverse(multiply(X_4,Y_5)))) = divide(X_570,inverse(Y_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_23073,c_51927]) ).
tff(c_52352,plain,
! [X_570,X_4,Y_5] : ( divide(multiply(X_570,multiply(X_4,Y_5)),X_4) = multiply(X_570,Y_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_16596,c_4,c_4,c_52117]) ).
tff(c_16351,plain,
! [Y_289,Y_290,Y_2] : ( divide(multiply(Y_289,Y_290),inverse(divide(divide(Y_2,Y_290),Y_289))) = Y_2 ),
inference(superposition,[status(thm),theory(equality)],[c_16324,c_2]) ).
tff(c_31349,plain,
! [Y_448,Y_449,Y_450] : ( divide(multiply(Y_448,Y_449),divide(Y_448,divide(Y_450,Y_449))) = Y_450 ),
inference(demodulation,[status(thm),theory(equality)],[c_16364,c_16351]) ).
tff(c_97798,plain,
! [Y_761,Y_762,Y_763] : ( multiply(divide(Y_761,divide(Y_762,Y_763)),Y_762) = multiply(Y_761,Y_763) ),
inference(superposition,[status(thm),theory(equality)],[c_31349,c_15904]) ).
tff(c_98194,plain,
! [X_570,Y_762,Y_763,Y_5] : ( multiply(multiply(X_570,multiply(divide(Y_762,Y_763),Y_5)),Y_763) = multiply(multiply(X_570,Y_5),Y_762) ),
inference(superposition,[status(thm),theory(equality)],[c_52352,c_97798]) ).
tff(c_98485,plain,
! [Y_762,X_570,Y_5] : ( multiply(Y_762,multiply(X_570,Y_5)) = multiply(X_570,multiply(Y_762,Y_5)) ),
inference(demodulation,[status(thm),theory(equality)],[c_50750,c_50750,c_16376,c_32059,c_32059,c_19465,c_19465,c_16333,c_70854,c_98194]) ).
tff(c_19,plain,
! [X_1,Y_9,Z_10,X_8] : ( divide(X_1,inverse(divide(Y_9,divide(X_1,inverse(divide(divide(Y_9,Z_10),divide(X_8,Z_10))))))) = X_8 ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_2]) ).
tff(c_11825,plain,
! [X_197,Y_198,Z_199,X_200] : ( multiply(X_197,divide(Y_198,multiply(X_197,divide(divide(Y_198,Z_199),divide(X_200,Z_199))))) = X_200 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_19]) ).
tff(c_11840,plain,
! [X_8,Y_9] : ( multiply(X_8,divide(Y_9,Y_9)) = X_8 ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_11825]) ).
tff(c_11860,plain,
! [X_201,Y_202] : ( multiply(X_201,divide(Y_202,Y_202)) = X_201 ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_11825]) ).
tff(c_48,plain,
! [X_1,Y_9,Z_10,X_8] : ( multiply(X_1,divide(Y_9,multiply(X_1,divide(divide(Y_9,Z_10),divide(X_8,Z_10))))) = X_8 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_19]) ).
tff(c_11905,plain,
! [X_203,Y_204] : ( multiply(X_203,divide(Y_204,X_203)) = Y_204 ),
inference(superposition,[status(thm),theory(equality)],[c_11860,c_48]) ).
tff(c_12032,plain,
! [Y_211,X_212] : ( multiply(inverse(Y_211),multiply(X_212,Y_211)) = X_212 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11905]) ).
tff(c_12070,plain,
! [Y_9,X_8] : ( multiply(inverse(divide(Y_9,Y_9)),X_8) = X_8 ),
inference(superposition,[status(thm),theory(equality)],[c_11840,c_12032]) ).
tff(c_12226,plain,
! [Y_218,X_219] : ( multiply(inverse(divide(Y_218,Y_218)),X_219) = X_219 ),
inference(superposition,[status(thm),theory(equality)],[c_11840,c_12032]) ).
tff(c_12310,plain,
! [Y_9,Y_5,Y_218] : ( divide(multiply(Y_9,Y_5),multiply(inverse(divide(Y_218,Y_218)),Y_5)) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_12226,c_55]) ).
tff(c_12423,plain,
! [Y_220,Y_221] : ( divide(multiply(Y_220,Y_221),Y_221) = Y_220 ),
inference(demodulation,[status(thm),theory(equality)],[c_12070,c_12310]) ).
tff(c_11867,plain,
! [X_201,Y_9] : ( multiply(X_201,divide(Y_9,X_201)) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_11860,c_48]) ).
tff(c_12441,plain,
! [Y_221,Y_220] : ( multiply(Y_221,Y_220) = multiply(Y_220,Y_221) ),
inference(superposition,[status(thm),theory(equality)],[c_12423,c_11867]) ).
tff(c_11896,plain,
! [X_201,Y_5] : ( multiply(X_201,multiply(inverse(Y_5),Y_5)) = X_201 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11860]) ).
tff(c_12531,plain,
! [X_201,Y_5] : ( multiply(X_201,multiply(Y_5,inverse(Y_5))) = X_201 ),
inference(demodulation,[status(thm),theory(equality)],[c_12441,c_11896]) ).
tff(c_11156,plain,
! [X_169,Y_170,Z_171,X_172] : ( multiply(X_169,divide(Y_170,multiply(X_169,divide(divide(Y_170,Z_171),divide(X_172,Z_171))))) = X_172 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_19]) ).
tff(c_11171,plain,
! [X_8,Y_9] : ( multiply(X_8,divide(Y_9,Y_9)) = X_8 ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_11156]) ).
tff(c_11190,plain,
! [X_173,Y_174] : ( multiply(X_173,divide(Y_174,Y_174)) = X_173 ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_11156]) ).
tff(c_11235,plain,
! [X_175,Y_176] : ( multiply(X_175,divide(Y_176,X_175)) = Y_176 ),
inference(superposition,[status(thm),theory(equality)],[c_11190,c_48]) ).
tff(c_11304,plain,
! [Y_179,X_180] : ( multiply(inverse(Y_179),multiply(X_180,Y_179)) = X_180 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11235]) ).
tff(c_11339,plain,
! [Y_9,X_8] : ( multiply(inverse(divide(Y_9,Y_9)),X_8) = X_8 ),
inference(superposition,[status(thm),theory(equality)],[c_11171,c_11304]) ).
tff(c_11444,plain,
! [Y_185,X_186] : ( multiply(inverse(divide(Y_185,Y_185)),X_186) = X_186 ),
inference(superposition,[status(thm),theory(equality)],[c_11171,c_11304]) ).
tff(c_11500,plain,
! [Y_9,Y_5,Y_185] : ( divide(multiply(Y_9,Y_5),multiply(inverse(divide(Y_185,Y_185)),Y_5)) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_11444,c_55]) ).
tff(c_11636,plain,
! [Y_191,Y_192] : ( divide(multiply(Y_191,Y_192),Y_192) = Y_191 ),
inference(demodulation,[status(thm),theory(equality)],[c_11339,c_11500]) ).
tff(c_11197,plain,
! [X_173,Y_9] : ( multiply(X_173,divide(Y_9,X_173)) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_11190,c_48]) ).
tff(c_11651,plain,
! [Y_192,Y_191] : ( multiply(Y_192,Y_191) = multiply(Y_191,Y_192) ),
inference(superposition,[status(thm),theory(equality)],[c_11636,c_11197]) ).
tff(c_113,plain,
! [X_17,Y_18,Z_19,X_20] : ( multiply(X_17,divide(Y_18,multiply(X_17,divide(divide(Y_18,Z_19),divide(X_20,Z_19))))) = X_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_19]) ).
tff(c_128,plain,
! [X_8,Y_9] : ( multiply(X_8,divide(Y_9,Y_9)) = X_8 ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_113]) ).
tff(c_147,plain,
! [X_21,Y_22] : ( multiply(X_21,divide(Y_22,Y_22)) = X_21 ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_113]) ).
tff(c_192,plain,
! [X_23,Y_24] : ( multiply(X_23,divide(Y_24,X_23)) = Y_24 ),
inference(superposition,[status(thm),theory(equality)],[c_147,c_48]) ).
tff(c_259,plain,
! [Y_27,X_28] : ( multiply(inverse(Y_27),multiply(X_28,Y_27)) = X_28 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_192]) ).
tff(c_294,plain,
! [Y_9,X_8] : ( multiply(inverse(divide(Y_9,Y_9)),X_8) = X_8 ),
inference(superposition,[status(thm),theory(equality)],[c_128,c_259]) ).
tff(c_380,plain,
! [Y_33,X_34] : ( multiply(inverse(divide(Y_33,Y_33)),X_34) = X_34 ),
inference(superposition,[status(thm),theory(equality)],[c_128,c_259]) ).
tff(c_436,plain,
! [Y_9,Y_5,Y_33] : ( divide(multiply(Y_9,Y_5),multiply(inverse(divide(Y_33,Y_33)),Y_5)) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_380,c_55]) ).
tff(c_494,plain,
! [Y_35,Y_36] : ( divide(multiply(Y_35,Y_36),Y_36) = Y_35 ),
inference(demodulation,[status(thm),theory(equality)],[c_294,c_436]) ).
tff(c_622,plain,
! [X_39,Y_40] : ( divide(X_39,divide(Y_40,Y_40)) = X_39 ),
inference(superposition,[status(thm),theory(equality)],[c_128,c_494]) ).
tff(c_154,plain,
! [X_21,Y_9] : ( multiply(X_21,divide(Y_9,X_21)) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_147,c_48]) ).
tff(c_543,plain,
! [Y_9,X_21] : ( divide(Y_9,divide(Y_9,X_21)) = X_21 ),
inference(superposition,[status(thm),theory(equality)],[c_154,c_494]) ).
tff(c_632,plain,
! [Y_40,X_39] : ( divide(Y_40,Y_40) = divide(X_39,X_39) ),
inference(superposition,[status(thm),theory(equality)],[c_622,c_543]) ).
tff(c_1276,plain,
! [Y_51,Y_52] : ( multiply(multiply(Y_51,inverse(Y_52)),Y_52) = Y_51 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_494]) ).
tff(c_489,plain,
! [Y_9,Y_5] : ( divide(multiply(Y_9,Y_5),Y_5) = Y_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_294,c_436]) ).
tff(c_1296,plain,
! [Y_51,Y_52] : ( multiply(Y_51,inverse(Y_52)) = divide(Y_51,Y_52) ),
inference(superposition,[status(thm),theory(equality)],[c_1276,c_489]) ).
tff(c_500,plain,
! [Y_36,Y_35] : ( multiply(Y_36,Y_35) = multiply(Y_35,Y_36) ),
inference(superposition,[status(thm),theory(equality)],[c_494,c_154]) ).
tff(c_6,plain,
( ( multiply(b4,a4) != multiply(a4,b4) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(inverse(b1),b1) != multiply(inverse(a1),a1) ) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_109,plain,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_833,plain,
multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)),
inference(demodulation,[status(thm),theory(equality)],[c_500,c_500,c_109]) ).
tff(c_11113,plain,
divide(b1,b1) != divide(a1,a1),
inference(demodulation,[status(thm),theory(equality)],[c_1296,c_1296,c_833]) ).
tff(c_11115,plain,
! [Y_40] : ( divide(a1,a1) != divide(Y_40,Y_40) ),
inference(superposition,[status(thm),theory(equality)],[c_632,c_11113]) ).
tff(c_11121,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_11115]) ).
tff(c_11122,plain,
( ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(b4,a4) != multiply(a4,b4) ) ),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_11134,plain,
multiply(b4,a4) != multiply(a4,b4),
inference(splitLeft,[status(thm)],[c_11122]) ).
tff(c_11728,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11651,c_11134]) ).
tff(c_11729,plain,
( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(splitRight,[status(thm)],[c_11122]) ).
tff(c_11778,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(splitLeft,[status(thm)],[c_11729]) ).
tff(c_12534,plain,
multiply(a2,multiply(b2,inverse(b2))) != a2,
inference(demodulation,[status(thm),theory(equality)],[c_12441,c_12441,c_11778]) ).
tff(c_15839,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12531,c_12534]) ).
tff(c_15840,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(splitRight,[status(thm)],[c_11729]) ).
tff(c_16663,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_16333,c_15840]) ).
tff(c_106267,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_98485,c_16663]) ).
tff(c_106270,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16333,c_106267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP097-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.10 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.09/0.29 % Computer : n014.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Thu Aug 3 21:53:18 EDT 2023
% 0.09/0.29 % CPUTime :
% 29.70/16.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.70/16.94
% 29.70/16.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 29.70/16.99
% 29.70/16.99 Inference rules
% 29.70/16.99 ----------------------
% 29.70/16.99 #Ref : 1
% 29.70/16.99 #Sup : 26631
% 29.70/16.99 #Fact : 0
% 29.70/16.99 #Define : 0
% 29.70/16.99 #Split : 3
% 29.70/16.99 #Chain : 0
% 29.70/16.99 #Close : 0
% 29.70/16.99
% 29.70/16.99 Ordering : KBO
% 29.70/16.99
% 29.70/16.99 Simplification rules
% 29.70/16.99 ----------------------
% 29.70/16.99 #Subsume : 1942
% 29.70/16.99 #Demod : 53465
% 29.70/16.99 #Tautology : 10369
% 29.70/16.99 #SimpNegUnit : 0
% 29.70/16.99 #BackRed : 132
% 29.70/16.99
% 29.70/16.99 #Partial instantiations: 0
% 29.70/16.99 #Strategies tried : 1
% 29.70/16.99
% 29.70/16.99 Timing (in seconds)
% 29.70/16.99 ----------------------
% 29.70/16.99 Preprocessing : 0.43
% 29.70/16.99 Parsing : 0.22
% 29.70/16.99 CNF conversion : 0.02
% 29.70/16.99 Main loop : 15.35
% 29.70/16.99 Inferencing : 2.49
% 29.70/16.99 Reduction : 10.08
% 29.70/16.99 Demodulation : 9.55
% 29.70/16.99 BG Simplification : 0.36
% 29.70/16.99 Subsumption : 1.67
% 29.70/16.99 Abstraction : 0.65
% 29.70/16.99 MUC search : 0.00
% 29.70/16.99 Cooper : 0.00
% 29.70/16.99 Total : 15.86
% 29.70/16.99 Index Insertion : 0.00
% 29.70/16.99 Index Deletion : 0.00
% 29.70/16.99 Index Matching : 0.00
% 29.70/16.99 BG Taut test : 0.00
%------------------------------------------------------------------------------