TSTP Solution File: GRP516-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP516-1 : 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 10:30:36 EDT 2022
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP516-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 12:50:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 23905: Facts:
% 0.12/0.34 23905: Id : 2, {_}:
% 0.12/0.34 multiply ?2 (multiply (multiply ?3 ?4) (inverse (multiply ?2 ?4)))
% 0.12/0.34 =>=
% 0.12/0.34 ?3
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 23905: Goal:
% 0.12/0.34 23905: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.12/0.36 Statistics :
% 0.12/0.36 Max weight : 22
% 0.12/0.36 Found proof, 0.021783s
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.36 Id : 2, {_}: multiply ?2 (multiply (multiply ?3 ?4) (inverse (multiply ?2 ?4))) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.36 Id : 3, {_}: multiply ?6 (multiply (multiply ?7 ?8) (inverse (multiply ?6 ?8))) =>= ?7 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 0.12/0.36 Id : 4, {_}: multiply ?10 (multiply (multiply ?11 (multiply (multiply ?12 ?13) (inverse (multiply ?10 ?13)))) (inverse ?12)) =>= ?11 [13, 12, 11, 10] by Super 3 with 2 at 1,2,2,2
% 0.12/0.36 Id : 9, {_}: multiply ?34 (multiply (multiply ?35 (multiply (multiply ?36 ?37) (inverse (multiply ?34 ?37)))) (inverse ?36)) =>= ?35 [37, 36, 35, 34] by Super 3 with 2 at 1,2,2,2
% 0.12/0.36 Id : 14, {_}: multiply ?65 (multiply ?66 (inverse ?66)) =>= ?65 [66, 65] by Super 9 with 2 at 1,2,2
% 0.12/0.36 Id : 21, {_}: multiply ?90 (multiply ?91 (inverse ?90)) =>= ?91 [91, 90] by Super 4 with 14 at 1,2,2
% 0.12/0.36 Id : 52, {_}: multiply ?175 (multiply (multiply ?176 ?177) (inverse ?176)) =>= multiply ?175 ?177 [177, 176, 175] by Super 4 with 21 at 1,2,2
% 0.12/0.36 Id : 53, {_}: multiply ?179 (multiply ?180 (inverse ?181)) =<= multiply ?179 (multiply (multiply ?180 ?182) (inverse (multiply ?181 ?182))) [182, 181, 180, 179] by Super 52 with 2 at 1,2,2
% 0.12/0.36 Id : 78, {_}: multiply ?10 (multiply (multiply ?11 (multiply ?12 (inverse ?10))) (inverse ?12)) =>= ?11 [12, 11, 10] by Demod 4 with 53 at 1,2,2
% 0.12/0.36 Id : 84, {_}: multiply (multiply ?234 ?235) (multiply ?236 (inverse ?234)) =>= multiply ?236 ?235 [236, 235, 234] by Super 21 with 53 at 2
% 0.12/0.36 Id : 120, {_}: multiply (multiply ?332 (multiply ?333 (inverse (multiply ?333 ?334)))) ?334 =>= ?332 [334, 333, 332] by Super 78 with 84 at 2
% 0.12/0.36 Id : 150, {_}: multiply (multiply ?433 (inverse ?433)) ?434 =>= ?434 [434, 433] by Super 78 with 120 at 2,2
% 0.12/0.36 Id : 215, {_}: multiply (multiply ?612 (multiply (multiply ?613 (inverse ?613)) (inverse ?614))) ?614 =>= ?612 [614, 613, 612] by Super 120 with 150 at 1,2,2,1,2
% 0.12/0.36 Id : 227, {_}: multiply (multiply ?612 (inverse ?614)) ?614 =>= ?612 [614, 612] by Demod 215 with 150 at 2,1,2
% 0.12/0.36 Id : 247, {_}: multiply ?699 ?700 =<= multiply ?700 (inverse (inverse ?699)) [700, 699] by Super 21 with 227 at 2,2
% 0.12/0.36 Id : 31, {_}: multiply ?110 (multiply (multiply ?111 ?112) (inverse ?111)) =>= multiply ?110 ?112 [112, 111, 110] by Super 4 with 21 at 1,2,2
% 0.12/0.36 Id : 244, {_}: multiply ?689 ?690 =<= multiply ?689 (inverse (inverse ?690)) [690, 689] by Super 31 with 227 at 2,2
% 0.12/0.36 Id : 265, {_}: multiply (multiply ?750 (inverse ?750)) ?751 =>= inverse (inverse ?751) [751, 750] by Super 150 with 244 at 2
% 0.12/0.36 Id : 299, {_}: ?751 =<= inverse (inverse ?751) [751] by Demod 265 with 150 at 2
% 0.12/0.36 Id : 318, {_}: multiply ?699 ?700 =?= multiply ?700 ?699 [700, 699] by Demod 247 with 299 at 2,3
% 0.12/0.36 Id : 407, {_}: multiply a b === multiply a b [] by Demod 1 with 318 at 3
% 0.12/0.36 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.36 23908: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.023468 using nrkbo
%------------------------------------------------------------------------------