TSTP Solution File: GRP568-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP568-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %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 : 600s
% DateTime : Sat Jul 16 10:30:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP568-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 20:53:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 32634: Facts:
% 0.13/0.34 32634: Id : 2, {_}:
% 0.13/0.34 double_divide
% 0.13/0.34 (double_divide ?2
% 0.13/0.34 (double_divide (double_divide ?3 (double_divide ?2 ?4))
% 0.13/0.34 (double_divide identity ?4))) (double_divide identity identity)
% 0.13/0.34 =>=
% 0.13/0.34 ?3
% 0.13/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.34 32634: Id : 3, {_}:
% 0.13/0.34 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.13/0.34 [7, 6] by multiply ?6 ?7
% 0.13/0.34 32634: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.13/0.34 32634: Id : 5, {_}:
% 0.13/0.34 identity =<= double_divide ?11 (inverse ?11)
% 0.13/0.34 [11] by identity ?11
% 0.13/0.34 32634: Goal:
% 0.13/0.34 32634: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.19/0.45 Statistics :
% 0.19/0.45 Max weight : 20
% 0.19/0.45 Found proof, 0.107392s
% 0.19/0.45 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.45 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.19/0.45 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.19/0.45 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.19/0.45 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?2 ?4)) (double_divide identity ?4))) (double_divide identity identity) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.45 Id : 16, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?2 ?4)) (double_divide identity ?4))) (inverse identity) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 2,2
% 0.19/0.45 Id : 18, {_}: double_divide (double_divide ?47 (double_divide (double_divide ?48 (double_divide ?47 identity)) (inverse identity))) (inverse identity) =>= ?48 [48, 47] by Super 16 with 4 at 2,2,1,2
% 0.19/0.45 Id : 22, {_}: double_divide (double_divide ?47 (double_divide (double_divide ?48 (inverse ?47)) (inverse identity))) (inverse identity) =>= ?48 [48, 47] by Demod 18 with 4 at 2,1,2,1,2
% 0.19/0.45 Id : 194, {_}: double_divide (double_divide ?306 (double_divide (double_divide ?307 (inverse ?306)) (inverse identity))) (inverse identity) =>= ?307 [307, 306] by Demod 18 with 4 at 2,1,2,1,2
% 0.19/0.45 Id : 24, {_}: double_divide (double_divide ?57 (double_divide (double_divide ?58 (double_divide ?57 (inverse identity))) identity)) (inverse identity) =>= ?58 [58, 57] by Super 16 with 5 at 2,2,1,2
% 0.19/0.45 Id : 30, {_}: double_divide (double_divide ?57 (inverse (double_divide ?58 (double_divide ?57 (inverse identity))))) (inverse identity) =>= ?58 [58, 57] by Demod 24 with 4 at 2,1,2
% 0.19/0.45 Id : 15, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.19/0.45 Id : 91, {_}: double_divide (double_divide ?145 (multiply (double_divide ?145 (inverse identity)) ?146)) (inverse identity) =>= ?146 [146, 145] by Demod 30 with 15 at 2,1,2
% 0.19/0.45 Id : 94, {_}: double_divide (double_divide identity (multiply identity ?157)) (inverse identity) =>= ?157 [157] by Super 91 with 5 at 1,2,1,2
% 0.19/0.45 Id : 17, {_}: multiply identity ?45 =>= inverse (inverse ?45) [45] by Super 15 with 4 at 1,3
% 0.19/0.45 Id : 99, {_}: double_divide (double_divide identity (inverse (inverse ?157))) (inverse identity) =>= ?157 [157] by Demod 94 with 17 at 2,1,2
% 0.19/0.45 Id : 315, {_}: double_divide (double_divide (inverse ?483) ?483) (inverse identity) =>= identity [483] by Super 194 with 99 at 2,1,2
% 0.19/0.45 Id : 318, {_}: double_divide (inverse (inverse identity)) (inverse identity) =>= identity [] by Super 315 with 4 at 1,2
% 0.19/0.45 Id : 201, {_}: double_divide (double_divide ?328 (double_divide identity (inverse identity))) (inverse identity) =>= ?328 [328] by Super 194 with 5 at 1,2,1,2
% 0.19/0.45 Id : 208, {_}: double_divide (double_divide ?328 identity) (inverse identity) =>= ?328 [328] by Demod 201 with 5 at 2,1,2
% 0.19/0.45 Id : 209, {_}: double_divide (inverse ?328) (inverse identity) =>= ?328 [328] by Demod 208 with 4 at 1,2
% 0.19/0.45 Id : 331, {_}: inverse identity =>= identity [] by Demod 318 with 209 at 2
% 0.19/0.45 Id : 346, {_}: double_divide (double_divide ?47 (double_divide (double_divide ?48 (inverse ?47)) identity)) (inverse identity) =>= ?48 [48, 47] by Demod 22 with 331 at 2,2,1,2
% 0.19/0.45 Id : 347, {_}: double_divide (double_divide ?47 (double_divide (double_divide ?48 (inverse ?47)) identity)) identity =>= ?48 [48, 47] by Demod 346 with 331 at 2,2
% 0.19/0.45 Id : 352, {_}: inverse (double_divide ?47 (double_divide (double_divide ?48 (inverse ?47)) identity)) =>= ?48 [48, 47] by Demod 347 with 4 at 2
% 0.19/0.45 Id : 353, {_}: multiply (double_divide (double_divide ?48 (inverse ?47)) identity) ?47 =>= ?48 [47, 48] by Demod 352 with 15 at 2
% 0.19/0.45 Id : 354, {_}: multiply (inverse (double_divide ?48 (inverse ?47))) ?47 =>= ?48 [47, 48] by Demod 353 with 4 at 1,2
% 0.19/0.45 Id : 355, {_}: multiply (multiply (inverse ?47) ?48) ?47 =>= ?48 [48, 47] by Demod 354 with 15 at 1,2
% 0.19/0.45 Id : 341, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?2 ?4)) (double_divide identity ?4))) identity =>= ?3 [4, 3, 2] by Demod 16 with 331 at 2,2
% 0.19/0.45 Id : 364, {_}: inverse (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?2 ?4)) (double_divide identity ?4))) =>= ?3 [4, 3, 2] by Demod 341 with 4 at 2
% 0.19/0.45 Id : 365, {_}: multiply (double_divide (double_divide ?3 (double_divide ?2 ?4)) (double_divide identity ?4)) ?2 =>= ?3 [4, 2, 3] by Demod 364 with 15 at 2
% 0.19/0.45 Id : 338, {_}: double_divide (double_divide identity (inverse (inverse ?157))) identity =>= ?157 [157] by Demod 99 with 331 at 2,2
% 0.19/0.45 Id : 366, {_}: inverse (double_divide identity (inverse (inverse ?157))) =>= ?157 [157] by Demod 338 with 4 at 2
% 0.19/0.45 Id : 367, {_}: multiply (inverse (inverse ?157)) identity =>= ?157 [157] by Demod 366 with 15 at 2
% 0.19/0.45 Id : 334, {_}: double_divide (inverse ?328) identity =>= ?328 [328] by Demod 209 with 331 at 2,2
% 0.19/0.45 Id : 377, {_}: inverse (inverse ?328) =>= ?328 [328] by Demod 334 with 4 at 2
% 0.19/0.45 Id : 381, {_}: multiply ?157 identity =>= ?157 [157] by Demod 367 with 377 at 1,2
% 0.19/0.45 Id : 202, {_}: double_divide (double_divide (inverse ?330) ?330) (inverse identity) =>= identity [330] by Super 194 with 99 at 2,1,2
% 0.19/0.45 Id : 313, {_}: double_divide (double_divide identity (double_divide identity (inverse identity))) (inverse identity) =?= double_divide (inverse ?479) ?479 [479] by Super 22 with 202 at 1,2,1,2
% 0.19/0.45 Id : 320, {_}: double_divide (double_divide identity identity) (inverse identity) =?= double_divide (inverse ?479) ?479 [479] by Demod 313 with 5 at 2,1,2
% 0.19/0.45 Id : 321, {_}: double_divide (inverse identity) (inverse identity) =?= double_divide (inverse ?479) ?479 [479] by Demod 320 with 4 at 1,2
% 0.19/0.45 Id : 322, {_}: identity =<= double_divide (inverse ?479) ?479 [479] by Demod 321 with 209 at 2
% 0.19/0.45 Id : 404, {_}: multiply (double_divide identity (double_divide identity ?504)) ?505 =>= inverse (double_divide ?505 ?504) [505, 504] by Super 365 with 322 at 1,1,2
% 0.19/0.45 Id : 422, {_}: multiply (double_divide identity (double_divide identity ?504)) ?505 =>= multiply ?504 ?505 [505, 504] by Demod 404 with 15 at 3
% 0.19/0.45 Id : 445, {_}: multiply ?536 identity =<= double_divide identity (double_divide identity ?536) [536] by Super 381 with 422 at 2
% 0.19/0.45 Id : 452, {_}: ?536 =<= double_divide identity (double_divide identity ?536) [536] by Demod 445 with 381 at 2
% 0.19/0.45 Id : 473, {_}: multiply (double_divide identity ?565) identity =>= inverse ?565 [565] by Super 15 with 452 at 1,3
% 0.19/0.45 Id : 479, {_}: double_divide identity ?565 =>= inverse ?565 [565] by Demod 473 with 381 at 2
% 0.19/0.45 Id : 491, {_}: multiply (double_divide (double_divide ?3 (double_divide ?2 ?4)) (inverse ?4)) ?2 =>= ?3 [4, 2, 3] by Demod 365 with 479 at 2,1,2
% 0.19/0.45 Id : 493, {_}: multiply (double_divide (double_divide ?575 (inverse ?576)) (inverse ?576)) identity =>= ?575 [576, 575] by Super 491 with 479 at 2,1,1,2
% 0.19/0.45 Id : 537, {_}: double_divide (double_divide ?608 (inverse ?609)) (inverse ?609) =>= ?608 [609, 608] by Demod 493 with 381 at 2
% 0.19/0.45 Id : 539, {_}: double_divide (double_divide ?613 (inverse (inverse ?614))) ?614 =>= ?613 [614, 613] by Super 537 with 377 at 2,2
% 0.19/0.45 Id : 556, {_}: double_divide (double_divide ?613 ?614) ?614 =>= ?613 [614, 613] by Demod 539 with 377 at 2,1,2
% 0.19/0.45 Id : 578, {_}: multiply ?664 (double_divide ?665 ?664) =>= inverse ?665 [665, 664] by Super 15 with 556 at 1,3
% 0.19/0.45 Id : 645, {_}: multiply (inverse ?749) ?750 =<= double_divide ?749 (inverse ?750) [750, 749] by Super 355 with 578 at 1,2
% 0.19/0.45 Id : 647, {_}: multiply (inverse ?754) (inverse ?755) =>= double_divide ?754 ?755 [755, 754] by Super 645 with 377 at 2,3
% 0.19/0.45 Id : 751, {_}: multiply (double_divide ?889 ?890) ?889 =>= inverse ?890 [890, 889] by Super 355 with 647 at 1,2
% 0.19/0.45 Id : 753, {_}: multiply ?894 (double_divide ?894 ?895) =>= inverse ?895 [895, 894] by Super 751 with 556 at 1,2
% 0.19/0.45 Id : 105, {_}: double_divide (double_divide identity (inverse (inverse ?173))) (inverse identity) =>= ?173 [173] by Demod 94 with 17 at 2,1,2
% 0.19/0.45 Id : 106, {_}: double_divide (double_divide identity (inverse (multiply ?175 ?176))) (inverse identity) =>= double_divide ?176 ?175 [176, 175] by Super 105 with 15 at 1,2,1,2
% 0.19/0.45 Id : 337, {_}: double_divide (double_divide identity (inverse (multiply ?175 ?176))) identity =>= double_divide ?176 ?175 [176, 175] by Demod 106 with 331 at 2,2
% 0.19/0.45 Id : 369, {_}: inverse (double_divide identity (inverse (multiply ?175 ?176))) =>= double_divide ?176 ?175 [176, 175] by Demod 337 with 4 at 2
% 0.19/0.45 Id : 370, {_}: multiply (inverse (multiply ?175 ?176)) identity =>= double_divide ?176 ?175 [176, 175] by Demod 369 with 15 at 2
% 0.19/0.45 Id : 382, {_}: inverse (multiply ?175 ?176) =>= double_divide ?176 ?175 [176, 175] by Demod 370 with 381 at 2
% 0.19/0.45 Id : 678, {_}: multiply (double_divide ?781 ?782) ?781 =>= inverse ?782 [782, 781] by Super 355 with 647 at 1,2
% 0.19/0.45 Id : 749, {_}: inverse (inverse ?883) =<= double_divide ?884 (double_divide ?884 ?883) [884, 883] by Super 382 with 678 at 1,2
% 0.19/0.45 Id : 762, {_}: ?883 =<= double_divide ?884 (double_divide ?884 ?883) [884, 883] by Demod 749 with 377 at 2
% 0.19/0.45 Id : 817, {_}: multiply ?984 ?985 =<= inverse (double_divide ?984 ?985) [985, 984] by Super 753 with 762 at 2,2
% 0.19/0.45 Id : 829, {_}: multiply ?984 ?985 =?= multiply ?985 ?984 [985, 984] by Demod 817 with 15 at 3
% 0.19/0.45 Id : 2544, {_}: multiply a b === multiply a b [] by Demod 1 with 829 at 3
% 0.19/0.45 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.19/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.45 32637: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.110609 using nrkbo
%------------------------------------------------------------------------------