TSTP Solution File: GRP510-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP510-1 : TPTP v8.1.0. Released v2.6.0.
% 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 10:30:34 EDT 2022
% Result : Unsatisfiable 0.19s 0.39s
% 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 : GRP510-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 09:50:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 20256: Facts:
% 0.12/0.34 20256: Id : 2, {_}:
% 0.12/0.34 multiply (multiply (multiply ?2 ?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 20256: Goal:
% 0.12/0.34 20256: Id : 1, {_}:
% 0.12/0.34 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.34 [] by prove_these_axioms_2
% 0.19/0.39 Statistics :
% 0.19/0.39 Max weight : 26
% 0.19/0.39 Found proof, 0.053036s
% 0.19/0.39 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.39 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.40 Id : 2, {_}: multiply (multiply (multiply ?2 ?3) ?4) (inverse (multiply ?2 ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.40 Id : 3, {_}: multiply (multiply (multiply ?6 ?7) ?8) (inverse (multiply ?6 ?8)) =>= ?7 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 0.19/0.40 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
% 0.19/0.40 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
% 0.19/0.40 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
% 0.19/0.40 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
% 0.19/0.40 Id : 74, {_}: multiply (multiply ?320 (inverse ?321)) (inverse ?320) =>= inverse ?321 [321, 320] by Demod 49 with 2 at 1,3
% 0.19/0.40 Id : 59, {_}: multiply (multiply ?236 (inverse ?237)) (inverse ?236) =>= inverse ?237 [237, 236] by Demod 49 with 2 at 1,3
% 0.19/0.40 Id : 78, {_}: multiply (inverse ?336) (inverse (multiply ?337 (inverse ?336))) =>= inverse ?337 [337, 336] by Super 74 with 59 at 1,2
% 0.19/0.40 Id : 141, {_}: inverse (multiply ?536 (inverse (multiply ?536 ?537))) =>= ?537 [537, 536] by Super 6 with 78 at 2
% 0.19/0.40 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
% 0.19/0.40 Id : 93, {_}: multiply (inverse ?381) (inverse (inverse ?382)) =>= inverse (multiply ?381 (inverse ?382)) [382, 381] by Super 59 with 78 at 1,2
% 0.19/0.40 Id : 159, {_}: inverse (inverse (multiply ?558 (inverse ?559))) =>= inverse (multiply ?559 (inverse ?558)) [559, 558] by Demod 147 with 93 at 1,2
% 0.19/0.40 Id : 171, {_}: inverse (inverse (inverse ?600)) =>= inverse ?600 [600] by Super 141 with 78 at 1,2
% 0.19/0.40 Id : 100, {_}: inverse (multiply ?410 (inverse (multiply ?410 ?411))) =>= ?411 [411, 410] by Super 6 with 78 at 2
% 0.19/0.40 Id : 172, {_}: inverse (inverse ?602) =<= inverse (multiply ?603 (inverse (multiply ?603 ?602))) [603, 602] by Super 171 with 100 at 1,1,2
% 0.19/0.40 Id : 187, {_}: inverse (inverse ?602) =>= ?602 [602] by Demod 172 with 100 at 3
% 0.19/0.40 Id : 282, {_}: multiply ?558 (inverse ?559) =<= inverse (multiply ?559 (inverse ?558)) [559, 558] by Demod 159 with 187 at 2
% 0.19/0.40 Id : 189, {_}: multiply (inverse ?381) ?382 =<= inverse (multiply ?381 (inverse ?382)) [382, 381] by Demod 93 with 187 at 2,2
% 0.19/0.40 Id : 283, {_}: multiply ?558 (inverse ?559) =?= multiply (inverse ?559) ?558 [559, 558] by Demod 282 with 189 at 3
% 0.19/0.40 Id : 191, {_}: multiply (inverse ?336) (multiply (inverse ?337) ?336) =>= inverse ?337 [337, 336] by Demod 78 with 189 at 2,2
% 0.19/0.40 Id : 200, {_}: multiply (inverse ?629) (multiply ?630 ?629) =>= inverse (inverse ?630) [630, 629] by Super 191 with 187 at 1,2,2
% 0.19/0.40 Id : 206, {_}: multiply (inverse ?629) (multiply ?630 ?629) =>= ?630 [630, 629] by Demod 200 with 187 at 3
% 0.19/0.40 Id : 70, {_}: multiply (inverse ?307) (inverse (multiply ?308 (inverse ?308))) =>= inverse ?307 [308, 307] by Super 2 with 59 at 1,2
% 0.19/0.40 Id : 193, {_}: multiply (inverse ?307) (multiply (inverse ?308) ?308) =>= inverse ?307 [308, 307] by Demod 70 with 189 at 2,2
% 0.19/0.40 Id : 199, {_}: multiply ?626 (multiply (inverse ?627) ?627) =>= inverse (inverse ?626) [627, 626] by Super 193 with 187 at 1,2
% 0.19/0.40 Id : 207, {_}: multiply ?626 (multiply (inverse ?627) ?627) =>= ?626 [627, 626] by Demod 199 with 187 at 3
% 0.19/0.40 Id : 702, {_}: multiply (inverse (multiply (inverse ?1510) ?1510)) ?1511 =>= ?1511 [1511, 1510] by Super 206 with 207 at 2,2
% 0.19/0.40 Id : 202, {_}: inverse (inverse ?635) =>= ?635 [635] by Demod 172 with 100 at 3
% 0.19/0.40 Id : 204, {_}: inverse (multiply (inverse ?639) ?640) =>= multiply ?639 (inverse ?640) [640, 639] by Super 202 with 189 at 1,2
% 0.19/0.40 Id : 719, {_}: multiply (multiply ?1510 (inverse ?1510)) ?1511 =>= ?1511 [1511, 1510] by Demod 702 with 204 at 1,2
% 0.19/0.40 Id : 1247, {_}: a2 === a2 [] by Demod 1246 with 719 at 2
% 0.19/0.40 Id : 1246, {_}: multiply (multiply b2 (inverse b2)) a2 =>= a2 [] by Demod 1 with 283 at 1,2
% 0.19/0.40 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.19/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.40 20259: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.055338 using nrkbo
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