TSTP Solution File: GRP096-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP096-1 : 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/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 : n020.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 10:39:49 EDT 2023
% Result : Unsatisfiable 85.69s 59.42s
% Output : CNFRefutation 85.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 145 ( 129 unt; 12 typ; 0 def)
% Number of atoms : 142 ( 138 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 22 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 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 : 296 (; 296 !; 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_29,axiom,
! [X,Y] : ( multiply(X,Y) = divide(X,inverse(Y)) ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [X,Y,Z] : ( divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z) = 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_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_2,plain,
! [X_1,Y_2,Z_3] : ( divide(divide(X_1,inverse(divide(Y_2,divide(X_1,Z_3)))),Z_3) = Y_2 ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_17,plain,
! [X_8,Y_9,Z_10] : ( divide(multiply(X_8,divide(Y_9,divide(X_8,Z_10))),Z_10) = Y_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_31,plain,
! [X_8,Y_9,Y_5] : ( multiply(multiply(X_8,divide(Y_9,divide(X_8,inverse(Y_5)))),Y_5) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_50,plain,
! [X_8,Y_9,Y_5] : ( multiply(multiply(X_8,divide(Y_9,multiply(X_8,Y_5))),Y_5) = Y_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31]) ).
tff(c_7,plain,
! [X_1,Y_2,Z_3] : ( divide(multiply(X_1,divide(Y_2,divide(X_1,Z_3))),Z_3) = Y_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_35538,plain,
! [X_442,Y_443,Z_444,Y_445] : ( divide(multiply(multiply(X_442,divide(Y_443,divide(X_442,Z_444))),divide(Y_445,Y_443)),Z_444) = Y_445 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_35884,plain,
! [X_450,Y_451,Y_452,Y_453] : ( divide(multiply(multiply(X_450,divide(Y_451,multiply(X_450,Y_452))),divide(Y_453,Y_451)),inverse(Y_452)) = Y_453 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35538]) ).
tff(c_36012,plain,
! [Y_454,Y_455] : ( divide(Y_454,inverse(divide(Y_455,Y_454))) = Y_455 ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_35884]) ).
tff(c_36051,plain,
! [Y_454,Y_455] : ( multiply(Y_454,divide(Y_455,Y_454)) = Y_455 ),
inference(superposition,[status(thm),theory(equality)],[c_36012,c_4]) ).
tff(c_53,plain,
! [X_11,Y_12,Y_13] : ( multiply(multiply(X_11,divide(Y_12,multiply(X_11,Y_13))),Y_13) = Y_12 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31]) ).
tff(c_27706,plain,
! [X_365,Y_366,Y_367,Y_368] : ( multiply(multiply(multiply(X_365,divide(Y_366,multiply(X_365,Y_367))),divide(Y_368,Y_366)),Y_367) = Y_368 ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_53]) ).
tff(c_27944,plain,
! [Y_369,Y_370] : ( multiply(Y_369,divide(Y_370,Y_369)) = Y_370 ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_27706]) ).
tff(c_25853,plain,
! [X_336,Y_337,Z_338,Y_339] : ( divide(multiply(multiply(X_336,divide(Y_337,divide(X_336,Z_338))),divide(Y_339,Y_337)),Z_338) = Y_339 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_25249,plain,
! [X_316,Y_317,X_318,Z_319] : ( multiply(X_316,divide(Y_317,divide(X_316,divide(X_318,Z_319)))) = divide(multiply(X_318,Y_317),Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_25293,plain,
! [X_320,Y_321,Z_322] : ( divide(divide(multiply(X_320,Y_321),Z_322),divide(X_320,Z_322)) = Y_321 ),
inference(superposition,[status(thm),theory(equality)],[c_25249,c_7]) ).
tff(c_25367,plain,
! [X_320,Y_321,Y_5] : ( divide(multiply(multiply(X_320,Y_321),Y_5),divide(X_320,inverse(Y_5))) = Y_321 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25293]) ).
tff(c_25382,plain,
! [X_320,Y_321,Y_5] : ( divide(multiply(multiply(X_320,Y_321),Y_5),multiply(X_320,Y_5)) = Y_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25367]) ).
tff(c_26062,plain,
! [Y_340,X_341,Y_342] : ( divide(Y_340,divide(X_341,multiply(X_341,divide(Y_342,Y_340)))) = Y_342 ),
inference(superposition,[status(thm),theory(equality)],[c_25853,c_25382]) ).
tff(c_26107,plain,
! [X_341,Y_342,Y_340] : ( divide(multiply(X_341,Y_342),multiply(X_341,divide(Y_342,Y_340))) = Y_340 ),
inference(superposition,[status(thm),theory(equality)],[c_26062,c_7]) ).
tff(c_27986,plain,
! [Y_369,Y_370] : ( divide(multiply(Y_369,Y_370),Y_370) = Y_369 ),
inference(superposition,[status(thm),theory(equality)],[c_27944,c_26107]) ).
tff(c_25874,plain,
! [Y_337,X_336,Y_339] : ( divide(Y_337,divide(X_336,multiply(X_336,divide(Y_339,Y_337)))) = Y_339 ),
inference(superposition,[status(thm),theory(equality)],[c_25853,c_25382]) ).
tff(c_28129,plain,
! [Y_371,Y_372] : ( divide(Y_371,divide(Y_371,Y_372)) = Y_372 ),
inference(superposition,[status(thm),theory(equality)],[c_27944,c_25874]) ).
tff(c_25422,plain,
! [X_324,Y_325,Y_326] : ( divide(multiply(multiply(X_324,Y_325),Y_326),multiply(X_324,Y_326)) = Y_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25367]) ).
tff(c_25261,plain,
! [X_318,Y_317,Z_319] : ( divide(divide(multiply(X_318,Y_317),Z_319),divide(X_318,Z_319)) = Y_317 ),
inference(superposition,[status(thm),theory(equality)],[c_25249,c_7]) ).
tff(c_25574,plain,
! [Y_328,X_329,Y_330] : ( divide(Y_328,divide(multiply(X_329,Y_328),multiply(X_329,Y_330))) = Y_330 ),
inference(superposition,[status(thm),theory(equality)],[c_25422,c_25261]) ).
tff(c_25653,plain,
! [Y_2,X_1,Y_330] : ( divide(divide(Y_2,divide(X_1,multiply(X_1,Y_330))),Y_2) = Y_330 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_25574]) ).
tff(c_28614,plain,
! [Y_377,Y_378] : ( divide(multiply(Y_377,Y_378),Y_377) = Y_378 ),
inference(superposition,[status(thm),theory(equality)],[c_28129,c_25653]) ).
tff(c_29628,plain,
! [Y_387,Z_388] : ( divide(Y_387,divide(Z_388,Z_388)) = Y_387 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_28614]) ).
tff(c_29763,plain,
! [Y_369,Z_388] : ( multiply(Y_369,divide(Z_388,Z_388)) = Y_369 ),
inference(superposition,[status(thm),theory(equality)],[c_27986,c_29628]) ).
tff(c_28191,plain,
! [Y_371,Y_330] : ( divide(multiply(Y_371,Y_330),Y_371) = Y_330 ),
inference(superposition,[status(thm),theory(equality)],[c_28129,c_25653]) ).
tff(c_27927,plain,
! [Y_9,Y_368] : ( multiply(Y_9,divide(Y_368,Y_9)) = Y_368 ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_27706]) ).
tff(c_28821,plain,
! [Y_379,Y_380] : ( multiply(divide(Y_379,Y_380),Y_380) = Y_379 ),
inference(superposition,[status(thm),theory(equality)],[c_28129,c_27927]) ).
tff(c_30283,plain,
! [X_393,Y_394] : ( multiply(multiply(X_393,Y_394),inverse(Y_394)) = X_393 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28821]) ).
tff(c_28318,plain,
! [X_4,Y_5] : ( divide(X_4,multiply(X_4,Y_5)) = inverse(Y_5) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28129]) ).
tff(c_30292,plain,
! [X_393,Y_394] : ( divide(multiply(X_393,Y_394),X_393) = inverse(inverse(Y_394)) ),
inference(superposition,[status(thm),theory(equality)],[c_30283,c_28318]) ).
tff(c_30418,plain,
! [Y_395] : ( inverse(inverse(Y_395)) = Y_395 ),
inference(demodulation,[status(thm),theory(equality)],[c_28191,c_30292]) ).
tff(c_30436,plain,
! [X_4,Y_395] : ( multiply(X_4,inverse(Y_395)) = divide(X_4,Y_395) ),
inference(superposition,[status(thm),theory(equality)],[c_30418,c_4]) ).
tff(c_28329,plain,
! [Y_373,Y_374] : ( divide(multiply(Y_373,Y_374),Y_374) = Y_373 ),
inference(superposition,[status(thm),theory(equality)],[c_27944,c_26107]) ).
tff(c_28338,plain,
! [Y_374,Y_373] : ( multiply(Y_374,Y_373) = multiply(Y_373,Y_374) ),
inference(superposition,[status(thm),theory(equality)],[c_28329,c_27927]) ).
tff(c_22161,plain,
! [X_250,Y_251,Z_252,Y_253] : ( divide(multiply(multiply(X_250,divide(Y_251,divide(X_250,Z_252))),divide(Y_253,Y_251)),Z_252) = Y_253 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_17]) ).
tff(c_22275,plain,
! [X_250,Y_251,Y_5,Y_253] : ( multiply(multiply(multiply(X_250,divide(Y_251,divide(X_250,inverse(Y_5)))),divide(Y_253,Y_251)),Y_5) = Y_253 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22161]) ).
tff(c_23930,plain,
! [X_296,Y_297,Y_298,Y_299] : ( multiply(multiply(multiply(X_296,divide(Y_297,multiply(X_296,Y_298))),divide(Y_299,Y_297)),Y_298) = Y_299 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22275]) ).
tff(c_24155,plain,
! [Y_300,Y_301] : ( multiply(Y_300,divide(Y_301,Y_300)) = Y_301 ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_23930]) ).
tff(c_22043,plain,
! [X_243,Y_244,X_245,Z_246] : ( multiply(X_243,divide(Y_244,divide(X_243,divide(X_245,Z_246)))) = divide(multiply(X_245,Y_244),Z_246) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_22084,plain,
! [X_247,Y_248,Z_249] : ( divide(divide(multiply(X_247,Y_248),Z_249),divide(X_247,Z_249)) = Y_248 ),
inference(superposition,[status(thm),theory(equality)],[c_22043,c_7]) ).
tff(c_22146,plain,
! [X_247,Y_248,Y_5] : ( divide(multiply(multiply(X_247,Y_248),Y_5),divide(X_247,inverse(Y_5))) = Y_248 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22084]) ).
tff(c_22290,plain,
! [X_254,Y_255,Y_256] : ( divide(multiply(multiply(X_254,Y_255),Y_256),multiply(X_254,Y_256)) = Y_255 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22146]) ).
tff(c_34,plain,
! [X_1,Y_2,Z_3,Y_9] : ( divide(multiply(multiply(X_1,divide(Y_2,divide(X_1,Z_3))),divide(Y_9,Y_2)),Z_3) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_17]) ).
tff(c_22378,plain,
! [Y_257,X_258,Y_259] : ( divide(Y_257,divide(X_258,multiply(X_258,divide(Y_259,Y_257)))) = Y_259 ),
inference(superposition,[status(thm),theory(equality)],[c_22290,c_34]) ).
tff(c_22412,plain,
! [X_258,Y_259,Y_257] : ( divide(multiply(X_258,Y_259),multiply(X_258,divide(Y_259,Y_257))) = Y_257 ),
inference(superposition,[status(thm),theory(equality)],[c_22378,c_7]) ).
tff(c_24474,plain,
! [Y_304,Y_305] : ( divide(multiply(Y_304,Y_305),Y_305) = Y_304 ),
inference(superposition,[status(thm),theory(equality)],[c_24155,c_22412]) ).
tff(c_24136,plain,
! [Y_9,Y_299] : ( multiply(Y_9,divide(Y_299,Y_9)) = Y_299 ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_23930]) ).
tff(c_24483,plain,
! [Y_305,Y_304] : ( multiply(Y_305,Y_304) = multiply(Y_304,Y_305) ),
inference(superposition,[status(thm),theory(equality)],[c_24474,c_24136]) ).
tff(c_1703,plain,
! [X_72,Y_73,Y_74,Y_75] : ( multiply(multiply(multiply(X_72,divide(Y_73,multiply(X_72,Y_74))),divide(Y_75,Y_73)),Y_74) = Y_75 ),
inference(superposition,[status(thm),theory(equality)],[c_53,c_50]) ).
tff(c_2095,plain,
! [Y_80,Y_81] : ( multiply(Y_80,divide(Y_81,Y_80)) = Y_81 ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_1703]) ).
tff(c_247,plain,
! [X_25,Y_26,X_27,Z_28] : ( multiply(X_25,divide(Y_26,divide(X_25,divide(X_27,Z_28)))) = divide(multiply(X_27,Y_26),Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_17]) ).
tff(c_321,plain,
! [X_29,Y_30,Z_31] : ( divide(divide(multiply(X_29,Y_30),Z_31),divide(X_29,Z_31)) = Y_30 ),
inference(superposition,[status(thm),theory(equality)],[c_247,c_7]) ).
tff(c_395,plain,
! [X_29,Y_30,Y_5] : ( divide(multiply(multiply(X_29,Y_30),Y_5),divide(X_29,inverse(Y_5))) = Y_30 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_321]) ).
tff(c_411,plain,
! [X_32,Y_33,Y_34] : ( divide(multiply(multiply(X_32,Y_33),Y_34),multiply(X_32,Y_34)) = Y_33 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_395]) ).
tff(c_440,plain,
! [Y_2,X_32,Y_9] : ( divide(Y_2,divide(X_32,multiply(X_32,divide(Y_9,Y_2)))) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_411,c_34]) ).
tff(c_2225,plain,
! [Y_82,Y_83] : ( divide(Y_82,divide(Y_82,Y_83)) = Y_83 ),
inference(superposition,[status(thm),theory(equality)],[c_2095,c_440]) ).
tff(c_269,plain,
! [X_27,Y_26,Z_28] : ( divide(divide(multiply(X_27,Y_26),Z_28),divide(X_27,Z_28)) = Y_26 ),
inference(superposition,[status(thm),theory(equality)],[c_247,c_7]) ).
tff(c_486,plain,
! [Y_35,X_36,Y_37] : ( divide(Y_35,divide(multiply(X_36,Y_35),multiply(X_36,Y_37))) = Y_37 ),
inference(superposition,[status(thm),theory(equality)],[c_411,c_269]) ).
tff(c_543,plain,
! [Y_2,X_1,Y_37] : ( divide(divide(Y_2,divide(X_1,multiply(X_1,Y_37))),Y_2) = Y_37 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_486]) ).
tff(c_2839,plain,
! [Y_90,Y_91] : ( divide(multiply(Y_90,Y_91),Y_90) = Y_91 ),
inference(superposition,[status(thm),theory(equality)],[c_2225,c_543]) ).
tff(c_3390,plain,
! [Y_94,Z_95] : ( divide(Y_94,divide(Z_95,Z_95)) = Y_94 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_2839]) ).
tff(c_2143,plain,
! [Y_80,Y_81] : ( divide(Y_80,divide(Y_80,Y_81)) = Y_81 ),
inference(superposition,[status(thm),theory(equality)],[c_2095,c_440]) ).
tff(c_3411,plain,
! [Z_95,Y_94] : ( divide(Z_95,Z_95) = divide(Y_94,Y_94) ),
inference(superposition,[status(thm),theory(equality)],[c_3390,c_2143]) ).
tff(c_2272,plain,
! [Y_82,Y_37] : ( divide(multiply(Y_82,Y_37),Y_82) = Y_37 ),
inference(superposition,[status(thm),theory(equality)],[c_2225,c_543]) ).
tff(c_2380,plain,
! [X_4,Y_5] : ( divide(X_4,multiply(X_4,Y_5)) = inverse(Y_5) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2225]) ).
tff(c_1889,plain,
! [Y_9,Y_75] : ( multiply(Y_9,divide(Y_75,Y_9)) = Y_75 ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_1703]) ).
tff(c_2551,plain,
! [Y_86,X_87] : ( multiply(inverse(Y_86),multiply(X_87,Y_86)) = X_87 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2095]) ).
tff(c_4851,plain,
! [Y_108,Y_109] : ( multiply(inverse(divide(Y_108,Y_109)),Y_108) = Y_109 ),
inference(superposition,[status(thm),theory(equality)],[c_1889,c_2551]) ).
tff(c_4989,plain,
! [Y_81,Y_80] : ( multiply(inverse(Y_81),Y_80) = divide(Y_80,Y_81) ),
inference(superposition,[status(thm),theory(equality)],[c_2143,c_4851]) ).
tff(c_5547,plain,
! [Y_116,Y_117] : ( divide(Y_116,inverse(divide(Y_117,Y_116))) = Y_117 ),
inference(demodulation,[status(thm),theory(equality)],[c_2380,c_440]) ).
tff(c_2638,plain,
! [Y_75,Y_9] : ( multiply(inverse(divide(Y_75,Y_9)),Y_75) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_1889,c_2551]) ).
tff(c_5563,plain,
! [Y_117,Y_116] : ( multiply(inverse(Y_117),Y_116) = inverse(divide(Y_117,Y_116)) ),
inference(superposition,[status(thm),theory(equality)],[c_5547,c_2638]) ).
tff(c_5701,plain,
! [Y_118,Y_119] : ( inverse(divide(Y_118,Y_119)) = divide(Y_119,Y_118) ),
inference(demodulation,[status(thm),theory(equality)],[c_4989,c_5563]) ).
tff(c_5740,plain,
! [X_4,Y_5] : ( divide(multiply(X_4,Y_5),X_4) = inverse(inverse(Y_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_2380,c_5701]) ).
tff(c_5790,plain,
! [Y_120] : ( inverse(inverse(Y_120)) = Y_120 ),
inference(demodulation,[status(thm),theory(equality)],[c_2272,c_5740]) ).
tff(c_5820,plain,
! [X_4,Y_120] : ( multiply(X_4,inverse(Y_120)) = divide(X_4,Y_120) ),
inference(superposition,[status(thm),theory(equality)],[c_5790,c_4]) ).
tff(c_548,plain,
! [Y_38,X_39,Y_40] : ( divide(Y_38,divide(X_39,multiply(X_39,divide(Y_40,Y_38)))) = Y_40 ),
inference(superposition,[status(thm),theory(equality)],[c_411,c_34]) ).
tff(c_589,plain,
! [X_39,Y_40,Y_38] : ( divide(multiply(X_39,Y_40),multiply(X_39,divide(Y_40,Y_38))) = Y_38 ),
inference(superposition,[status(thm),theory(equality)],[c_548,c_7]) ).
tff(c_2387,plain,
! [Y_84,Y_85] : ( divide(multiply(Y_84,Y_85),Y_85) = Y_84 ),
inference(superposition,[status(thm),theory(equality)],[c_2095,c_589]) ).
tff(c_2396,plain,
! [Y_85,Y_84] : ( multiply(Y_85,Y_84) = multiply(Y_84,Y_85) ),
inference(superposition,[status(thm),theory(equality)],[c_2387,c_1889]) ).
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_102,plain,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_3042,plain,
multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)),
inference(demodulation,[status(thm),theory(equality)],[c_2396,c_2396,c_102]) ).
tff(c_21977,plain,
divide(b1,b1) != divide(a1,a1),
inference(demodulation,[status(thm),theory(equality)],[c_5820,c_5820,c_3042]) ).
tff(c_21979,plain,
! [Z_95] : ( divide(a1,a1) != divide(Z_95,Z_95) ),
inference(superposition,[status(thm),theory(equality)],[c_3411,c_21977]) ).
tff(c_21985,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_21979]) ).
tff(c_21986,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_21998,plain,
multiply(b4,a4) != multiply(a4,b4),
inference(splitLeft,[status(thm)],[c_21986]) ).
tff(c_25148,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24483,c_21998]) ).
tff(c_25149,plain,
( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(splitRight,[status(thm)],[c_21986]) ).
tff(c_25520,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(splitLeft,[status(thm)],[c_25149]) ).
tff(c_29309,plain,
multiply(a2,multiply(b2,inverse(b2))) != a2,
inference(demodulation,[status(thm),theory(equality)],[c_28338,c_28338,c_25520]) ).
tff(c_35376,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29763,c_30436,c_29309]) ).
tff(c_35378,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(splitRight,[status(thm)],[c_25149]) ).
tff(c_35385,plain,
divide(a2,multiply(inverse(b2),a2)) = b2,
inference(superposition,[status(thm),theory(equality)],[c_35378,c_25382]) ).
tff(c_36117,plain,
! [Y_456,Y_457] : ( multiply(Y_456,divide(Y_457,Y_456)) = Y_457 ),
inference(superposition,[status(thm),theory(equality)],[c_36012,c_4]) ).
tff(c_36181,plain,
multiply(multiply(inverse(b2),a2),b2) = a2,
inference(superposition,[status(thm),theory(equality)],[c_35385,c_36117]) ).
tff(c_36306,plain,
divide(a2,multiply(inverse(b2),b2)) = a2,
inference(superposition,[status(thm),theory(equality)],[c_36181,c_25382]) ).
tff(c_36433,plain,
! [Y_2] : ( divide(multiply(a2,divide(Y_2,a2)),multiply(inverse(b2),b2)) = Y_2 ),
inference(superposition,[status(thm),theory(equality)],[c_36306,c_7]) ).
tff(c_36440,plain,
! [Y_2] : ( divide(Y_2,multiply(inverse(b2),b2)) = Y_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_36051,c_36433]) ).
tff(c_36563,plain,
! [Y_464] : ( divide(Y_464,multiply(inverse(b2),b2)) = Y_464 ),
inference(demodulation,[status(thm),theory(equality)],[c_36051,c_36433]) ).
tff(c_36611,plain,
! [X_318,Y_317] : ( divide(multiply(X_318,Y_317),divide(X_318,multiply(inverse(b2),b2))) = Y_317 ),
inference(superposition,[status(thm),theory(equality)],[c_36563,c_25261]) ).
tff(c_36651,plain,
! [X_318,Y_317] : ( divide(multiply(X_318,Y_317),X_318) = Y_317 ),
inference(demodulation,[status(thm),theory(equality)],[c_36440,c_36611]) ).
tff(c_36699,plain,
! [X_465,Y_466] : ( divide(multiply(X_465,Y_466),X_465) = Y_466 ),
inference(demodulation,[status(thm),theory(equality)],[c_36440,c_36611]) ).
tff(c_36931,plain,
! [Y_467,Z_468] : ( divide(Y_467,divide(Z_468,Z_468)) = Y_467 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_36699]) ).
tff(c_37025,plain,
! [Z_468,Y_317] : ( multiply(divide(Z_468,Z_468),Y_317) = Y_317 ),
inference(superposition,[status(thm),theory(equality)],[c_36651,c_36931]) ).
tff(c_37299,plain,
! [Z_471,Y_472] : ( multiply(divide(Z_471,Z_471),Y_472) = Y_472 ),
inference(superposition,[status(thm),theory(equality)],[c_36651,c_36931]) ).
tff(c_37359,plain,
! [Y_9,Z_471,Y_5] : ( multiply(divide(Y_9,multiply(divide(Z_471,Z_471),Y_5)),Y_5) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_37299,c_50]) ).
tff(c_37960,plain,
! [Y_479,Y_480] : ( multiply(divide(Y_479,Y_480),Y_480) = Y_479 ),
inference(demodulation,[status(thm),theory(equality)],[c_37025,c_37359]) ).
tff(c_38025,plain,
! [Y_317,X_318] : ( multiply(Y_317,X_318) = multiply(X_318,Y_317) ),
inference(superposition,[status(thm),theory(equality)],[c_36651,c_37960]) ).
tff(c_24,plain,
! [X_8,Y_9,X_1,Z_3] : ( multiply(X_8,divide(Y_9,divide(X_8,divide(X_1,Z_3)))) = divide(multiply(X_1,Y_9),Z_3) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_25280,plain,
! [Y_317,X_318,X_1,Z_319,Y_2] : ( multiply(multiply(X_1,divide(Y_2,divide(X_1,divide(X_318,Z_319)))),divide(Y_317,Y_2)) = divide(multiply(X_318,Y_317),Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_25249]) ).
tff(c_25290,plain,
! [X_318,Y_2,Z_319,Y_317] : ( multiply(divide(multiply(X_318,Y_2),Z_319),divide(Y_317,Y_2)) = divide(multiply(X_318,Y_317),Z_319) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_25280]) ).
tff(c_25258,plain,
! [Y_317,Y_9,X_318,Z_319,X_316] : ( multiply(multiply(X_316,divide(Y_9,divide(multiply(X_318,Y_317),Z_319))),divide(Y_317,divide(X_316,divide(X_318,Z_319)))) = Y_9 ),
inference(superposition,[status(thm),theory(equality)],[c_25249,c_50]) ).
tff(c_49969,plain,
! [X_583,Z_582,Y_584,Y_585,Y_581] : ( divide(multiply(multiply(multiply(X_583,divide(Y_585,divide(X_583,Z_582))),divide(Y_581,Y_585)),divide(Y_584,Y_581)),Z_582) = Y_584 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_35538]) ).
tff(c_50152,plain,
! [X_318,Y_317,Z_319,Y_584] : ( divide(multiply(divide(multiply(X_318,Y_317),divide(X_318,Z_319)),divide(Y_584,Y_317)),Z_319) = Y_584 ),
inference(superposition,[status(thm),theory(equality)],[c_25258,c_49969]) ).
tff(c_63086,plain,
! [X_663,Y_664,Z_665] : ( divide(divide(multiply(X_663,Y_664),divide(X_663,Z_665)),Z_665) = Y_664 ),
inference(demodulation,[status(thm),theory(equality)],[c_25290,c_50152]) ).
tff(c_63282,plain,
! [X_663,Y_664,Z_665] : ( divide(multiply(X_663,Y_664),divide(X_663,Z_665)) = multiply(Z_665,Y_664) ),
inference(superposition,[status(thm),theory(equality)],[c_63086,c_36051]) ).
tff(c_36096,plain,
! [X_1,Y_2,Z_3] : ( multiply(X_1,divide(Y_2,divide(X_1,Z_3))) = divide(Z_3,inverse(Y_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_36012]) ).
tff(c_148271,plain,
! [X_934,Y_935,Z_936] : ( multiply(X_934,divide(Y_935,divide(X_934,Z_936))) = multiply(Z_936,Y_935) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36096]) ).
tff(c_148722,plain,
! [Z_665,X_663,Y_664] : ( multiply(Z_665,multiply(X_663,Y_664)) = multiply(X_663,multiply(Z_665,Y_664)) ),
inference(superposition,[status(thm),theory(equality)],[c_63282,c_148271]) ).
tff(c_35377,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(splitRight,[status(thm)],[c_25149]) ).
tff(c_38233,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_38025,c_35377]) ).
tff(c_293275,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38025,c_148722,c_38233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP096-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 22:10:07 EDT 2023
% 0.15/0.37 % CPUTime :
% 85.69/59.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 85.69/59.44
% 85.69/59.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 85.92/59.48
% 85.92/59.48 Inference rules
% 85.92/59.48 ----------------------
% 85.92/59.48 #Ref : 1
% 85.92/59.48 #Sup : 74104
% 85.92/59.48 #Fact : 0
% 85.92/59.48 #Define : 0
% 85.92/59.48 #Split : 3
% 85.92/59.48 #Chain : 0
% 85.92/59.48 #Close : 0
% 85.92/59.48
% 85.92/59.48 Ordering : KBO
% 85.92/59.48
% 85.92/59.48 Simplification rules
% 85.92/59.48 ----------------------
% 85.92/59.48 #Subsume : 6002
% 85.92/59.48 #Demod : 174371
% 85.92/59.48 #Tautology : 21367
% 85.92/59.48 #SimpNegUnit : 0
% 85.92/59.48 #BackRed : 193
% 85.92/59.48
% 85.92/59.48 #Partial instantiations: 0
% 85.92/59.48 #Strategies tried : 1
% 85.92/59.48
% 85.92/59.48 Timing (in seconds)
% 85.92/59.48 ----------------------
% 85.92/59.49 Preprocessing : 0.41
% 85.92/59.49 Parsing : 0.21
% 85.92/59.49 CNF conversion : 0.02
% 85.92/59.49 Main loop : 57.97
% 85.92/59.49 Inferencing : 7.16
% 85.92/59.49 Reduction : 39.87
% 85.92/59.49 Demodulation : 38.46
% 85.92/59.49 BG Simplification : 1.05
% 85.92/59.49 Subsumption : 4.97
% 85.92/59.49 Abstraction : 2.12
% 85.92/59.49 MUC search : 0.00
% 85.92/59.49 Cooper : 0.00
% 85.92/59.49 Total : 58.45
% 85.92/59.49 Index Insertion : 0.00
% 85.92/59.49 Index Deletion : 0.00
% 85.92/59.49 Index Matching : 0.00
% 85.92/59.49 BG Taut test : 0.00
%------------------------------------------------------------------------------