TSTP Solution File: GRP520-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP520-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n017.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 10:30:37 EDT 2022
% Result : Unsatisfiable 0.19s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP520-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n017.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 : Tue Jun 14 12:36:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 8607: Facts:
% 0.12/0.34 8607: Id : 2, {_}:
% 0.12/0.34 multiply ?2 (multiply (multiply (inverse (multiply ?2 ?3)) ?4) ?3)
% 0.12/0.34 =>=
% 0.12/0.34 ?4
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 8607: Goal:
% 0.12/0.34 8607: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.19/0.36 Statistics :
% 0.19/0.36 Max weight : 30
% 0.19/0.36 Found proof, 0.025307s
% 0.19/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.36 Id : 2, {_}: multiply ?2 (multiply (multiply (inverse (multiply ?2 ?3)) ?4) ?3) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.36 Id : 3, {_}: multiply ?6 (multiply (multiply (inverse (multiply ?6 ?7)) ?8) ?7) =>= ?8 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 0.19/0.36 Id : 9, {_}: multiply ?32 (multiply ?33 ?34) =<= multiply (multiply (inverse (multiply (inverse (multiply ?32 ?34)) ?35)) ?33) ?35 [35, 34, 33, 32] by Super 3 with 2 at 1,2,2
% 0.19/0.36 Id : 12, {_}: multiply ?50 (multiply ?51 ?52) =<= multiply (multiply (inverse ?53) ?51) (multiply (multiply (inverse (multiply (inverse (multiply ?50 ?52)) ?54)) ?53) ?54) [54, 53, 52, 51, 50] by Super 9 with 2 at 1,1,1,3
% 0.19/0.36 Id : 5, {_}: multiply ?15 (multiply ?16 ?17) =<= multiply (multiply (inverse (multiply (inverse (multiply ?15 ?17)) ?18)) ?16) ?18 [18, 17, 16, 15] by Super 3 with 2 at 1,2,2
% 0.19/0.36 Id : 42, {_}: multiply ?178 (multiply ?179 ?180) =<= multiply (multiply (inverse ?181) ?179) (multiply ?178 (multiply ?181 ?180)) [181, 180, 179, 178] by Demod 12 with 5 at 2,3
% 0.19/0.36 Id : 16, {_}: multiply ?50 (multiply ?51 ?52) =<= multiply (multiply (inverse ?53) ?51) (multiply ?50 (multiply ?53 ?52)) [53, 52, 51, 50] by Demod 12 with 5 at 2,3
% 0.19/0.36 Id : 50, {_}: multiply (multiply (inverse ?226) ?227) (multiply ?228 (multiply ?226 ?229)) =?= multiply (multiply (inverse ?230) ?228) (multiply ?230 (multiply ?227 ?229)) [230, 229, 228, 227, 226] by Super 42 with 16 at 2,3
% 0.19/0.36 Id : 98, {_}: multiply ?469 (multiply ?470 ?471) =<= multiply (multiply (inverse ?472) ?469) (multiply ?472 (multiply ?470 ?471)) [472, 471, 470, 469] by Demod 50 with 16 at 2
% 0.19/0.36 Id : 99, {_}: multiply ?474 (multiply ?475 (multiply (multiply (inverse (multiply ?475 ?476)) ?477) ?476)) =?= multiply (multiply (inverse ?478) ?474) (multiply ?478 ?477) [478, 477, 476, 475, 474] by Super 98 with 2 at 2,2,3
% 0.19/0.36 Id : 119, {_}: multiply ?474 ?477 =<= multiply (multiply (inverse ?478) ?474) (multiply ?478 ?477) [478, 477, 474] by Demod 99 with 2 at 2,2
% 0.19/0.36 Id : 139, {_}: multiply ?619 ?620 =<= multiply (multiply (inverse ?621) ?619) (multiply ?621 ?620) [621, 620, 619] by Demod 99 with 2 at 2,2
% 0.19/0.36 Id : 8, {_}: multiply (inverse (multiply ?28 ?29)) (multiply ?28 (multiply ?30 ?29)) =>= ?30 [30, 29, 28] by Super 2 with 5 at 2,2
% 0.19/0.36 Id : 48, {_}: multiply (inverse (multiply ?214 ?215)) (multiply ?216 (multiply ?217 ?215)) =>= multiply (multiply (inverse ?214) ?216) ?217 [217, 216, 215, 214] by Super 42 with 8 at 2,3
% 0.19/0.36 Id : 59, {_}: multiply (multiply (inverse ?28) ?28) ?30 =>= ?30 [30, 28] by Demod 8 with 48 at 2
% 0.19/0.36 Id : 142, {_}: multiply ?634 ?635 =<= multiply (multiply (inverse (multiply (inverse ?636) ?636)) ?634) ?635 [636, 635, 634] by Super 139 with 59 at 2,3
% 0.19/0.36 Id : 156, {_}: multiply (inverse ?681) (multiply ?682 ?681) =>= ?682 [682, 681] by Super 2 with 142 at 2,2
% 0.19/0.36 Id : 203, {_}: ?806 =<= multiply (multiply (inverse ?807) ?806) ?807 [807, 806] by Super 48 with 156 at 2
% 0.19/0.36 Id : 231, {_}: multiply ?897 (multiply (inverse ?898) ?898) =>= ?897 [898, 897] by Super 142 with 203 at 3
% 0.19/0.36 Id : 323, {_}: multiply ?1186 ?1187 =<= multiply (inverse (inverse ?1187)) ?1186 [1187, 1186] by Super 119 with 231 at 3
% 0.19/0.36 Id : 399, {_}: multiply (multiply (inverse ?1399) ?1399) ?1400 =>= inverse (inverse ?1400) [1400, 1399] by Super 231 with 323 at 2
% 0.19/0.36 Id : 407, {_}: ?1400 =<= inverse (inverse ?1400) [1400] by Demod 399 with 59 at 2
% 0.19/0.36 Id : 422, {_}: multiply ?1186 ?1187 =?= multiply ?1187 ?1186 [1187, 1186] by Demod 323 with 407 at 1,3
% 0.19/0.36 Id : 436, {_}: multiply a b === multiply a b [] by Demod 1 with 422 at 3
% 0.19/0.36 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.19/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.36 8610: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.027341 using nrkbo
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