TSTP Solution File: GRP512-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP512-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n018.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 10:30:35 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP512-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 06:17:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 24337: Facts:
% 0.13/0.35 24337: Id : 2, {_}:
% 0.13/0.35 multiply (multiply (multiply ?2 ?3) ?4) (inverse (multiply ?2 ?4))
% 0.13/0.35 =>=
% 0.13/0.35 ?3
% 0.13/0.35 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.35 24337: Goal:
% 0.20/0.35 24337: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.20/0.49 Statistics :
% 0.20/0.49 Max weight : 26
% 0.20/0.49 Found proof, 0.135345s
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.49 % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.49 Id : 2, {_}: multiply (multiply (multiply ?2 ?3) ?4) (inverse (multiply ?2 ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.20/0.49 Id : 3, {_}: multiply (multiply (multiply ?6 ?7) ?8) (inverse (multiply ?6 ?8)) =>= ?7 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 0.20/0.49 Id : 23, {_}: multiply (multiply ?100 ?101) (inverse (multiply (multiply (multiply ?102 ?100) ?103) ?101)) =>= inverse (multiply ?102 ?103) [103, 102, 101, 100] by Super 3 with 2 at 1,1,2
% 0.20/0.49 Id : 48, {_}: multiply (multiply ?232 (inverse (multiply ?233 ?234))) (inverse ?232) =>= inverse (multiply ?233 ?234) [234, 233, 232] by Super 23 with 2 at 1,2,2
% 0.20/0.49 Id : 49, {_}: multiply (multiply ?236 (inverse ?237)) (inverse ?236) =?= inverse (multiply (multiply (multiply ?238 ?237) ?239) (inverse (multiply ?238 ?239))) [239, 238, 237, 236] by Super 48 with 2 at 1,2,1,2
% 0.20/0.49 Id : 59, {_}: multiply (multiply ?236 (inverse ?237)) (inverse ?236) =>= inverse ?237 [237, 236] by Demod 49 with 2 at 1,3
% 0.20/0.49 Id : 74, {_}: multiply (multiply ?320 (inverse ?321)) (inverse ?320) =>= inverse ?321 [321, 320] by Demod 49 with 2 at 1,3
% 0.20/0.49 Id : 78, {_}: multiply (inverse ?336) (inverse (multiply ?337 (inverse ?336))) =>= inverse ?337 [337, 336] by Super 74 with 59 at 1,2
% 0.20/0.49 Id : 93, {_}: multiply (inverse ?381) (inverse (inverse ?382)) =>= inverse (multiply ?381 (inverse ?382)) [382, 381] by Super 59 with 78 at 1,2
% 0.20/0.49 Id : 6, {_}: multiply ?20 (inverse (multiply (multiply ?21 ?20) (inverse (multiply ?21 ?22)))) =>= ?22 [22, 21, 20] by Super 3 with 2 at 1,2
% 0.20/0.49 Id : 141, {_}: inverse (multiply ?536 (inverse (multiply ?536 ?537))) =>= ?537 [537, 536] by Super 6 with 78 at 2
% 0.20/0.49 Id : 171, {_}: inverse (inverse (inverse ?600)) =>= inverse ?600 [600] by Super 141 with 78 at 1,2
% 0.20/0.49 Id : 100, {_}: inverse (multiply ?410 (inverse (multiply ?410 ?411))) =>= ?411 [411, 410] by Super 6 with 78 at 2
% 0.20/0.49 Id : 172, {_}: inverse (inverse ?602) =<= inverse (multiply ?603 (inverse (multiply ?603 ?602))) [603, 602] by Super 171 with 100 at 1,1,2
% 0.20/0.49 Id : 187, {_}: inverse (inverse ?602) =>= ?602 [602] by Demod 172 with 100 at 3
% 0.20/0.49 Id : 189, {_}: multiply (inverse ?381) ?382 =<= inverse (multiply ?381 (inverse ?382)) [382, 381] by Demod 93 with 187 at 2,2
% 0.20/0.49 Id : 147, {_}: inverse (multiply (inverse ?558) (inverse (inverse ?559))) =>= inverse (multiply ?559 (inverse ?558)) [559, 558] by Super 141 with 78 at 1,2,1,2
% 0.20/0.49 Id : 159, {_}: inverse (inverse (multiply ?558 (inverse ?559))) =>= inverse (multiply ?559 (inverse ?558)) [559, 558] by Demod 147 with 93 at 1,2
% 0.20/0.49 Id : 282, {_}: multiply ?558 (inverse ?559) =<= inverse (multiply ?559 (inverse ?558)) [559, 558] by Demod 159 with 187 at 2
% 0.20/0.49 Id : 283, {_}: multiply ?558 (inverse ?559) =?= multiply (inverse ?559) ?558 [559, 558] by Demod 282 with 189 at 3
% 0.20/0.49 Id : 302, {_}: multiply (inverse (inverse ?846)) ?847 =<= inverse (multiply (inverse ?847) (inverse ?846)) [847, 846] by Super 189 with 283 at 1,3
% 0.20/0.49 Id : 345, {_}: multiply ?846 ?847 =<= inverse (multiply (inverse ?847) (inverse ?846)) [847, 846] by Demod 302 with 187 at 1,2
% 0.20/0.49 Id : 202, {_}: inverse (inverse ?635) =>= ?635 [635] by Demod 172 with 100 at 3
% 0.20/0.49 Id : 204, {_}: inverse (multiply (inverse ?639) ?640) =>= multiply ?639 (inverse ?640) [640, 639] by Super 202 with 189 at 1,2
% 0.20/0.49 Id : 346, {_}: multiply ?846 ?847 =<= multiply ?847 (inverse (inverse ?846)) [847, 846] by Demod 345 with 204 at 3
% 0.20/0.49 Id : 347, {_}: multiply ?846 ?847 =?= multiply ?847 ?846 [847, 846] by Demod 346 with 187 at 2,3
% 0.20/0.49 Id : 3140, {_}: multiply a b === multiply a b [] by Demod 1 with 347 at 3
% 0.20/0.49 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.20/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.49 24341: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.13663 using nrkbo
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