TSTP Solution File: GRP468-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP468-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n016.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 10:30:25 EDT 2022
% Result : Unsatisfiable 2.80s 1.01s
% Output : CNFRefutation 2.80s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP468-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n016.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 19:10:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 4408: Facts:
% 0.12/0.34 4408: Id : 2, {_}:
% 0.12/0.34 divide (divide ?2 ?2)
% 0.12/0.34 (divide ?3 (divide (divide ?4 (divide ?5 ?3)) (inverse ?5)))
% 0.12/0.34 =>=
% 0.12/0.34 ?4
% 0.12/0.34 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.12/0.34 4408: Id : 3, {_}:
% 0.12/0.34 multiply ?7 ?8 =<= divide ?7 (inverse ?8)
% 0.12/0.34 [8, 7] by multiply ?7 ?8
% 0.12/0.34 4408: Goal:
% 0.12/0.34 4408: Id : 1, {_}:
% 0.12/0.34 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.12/0.34 [] by prove_these_axioms_3
% 2.80/1.01 Statistics :
% 2.80/1.01 Max weight : 70
% 2.80/1.01 Found proof, 0.672970s
% 2.80/1.01 % SZS status Unsatisfiable for theBenchmark.p
% 2.80/1.01 % SZS output start CNFRefutation for theBenchmark.p
% 2.80/1.01 Id : 3, {_}: multiply ?7 ?8 =<= divide ?7 (inverse ?8) [8, 7] by multiply ?7 ?8
% 2.80/1.01 Id : 2, {_}: divide (divide ?2 ?2) (divide ?3 (divide (divide ?4 (divide ?5 ?3)) (inverse ?5))) =>= ?4 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 2.80/1.01 Id : 4, {_}: divide (divide ?10 ?10) (divide ?11 (divide (divide ?12 (divide ?13 ?11)) (inverse ?13))) =>= ?12 [13, 12, 11, 10] by single_axiom ?10 ?11 ?12 ?13
% 2.80/1.01 Id : 5, {_}: divide (divide ?15 ?15) (divide (divide ?16 (divide (divide ?17 (divide ?18 ?16)) (inverse ?18))) (divide (divide ?19 ?17) (inverse (divide ?20 ?20)))) =>= ?19 [20, 19, 18, 17, 16, 15] by Super 4 with 2 at 2,1,2,2,2
% 2.80/1.01 Id : 13, {_}: divide (divide ?15 ?15) (divide (divide ?16 (multiply (divide ?17 (divide ?18 ?16)) ?18)) (divide (divide ?19 ?17) (inverse (divide ?20 ?20)))) =>= ?19 [20, 19, 18, 17, 16, 15] by Demod 5 with 3 at 2,1,2,2
% 2.80/1.01 Id : 17, {_}: divide (divide ?63 ?63) (divide (divide ?64 (multiply (divide ?65 (divide ?66 ?64)) ?66)) (multiply (divide ?67 ?65) (divide ?68 ?68))) =>= ?67 [68, 67, 66, 65, 64, 63] by Demod 13 with 3 at 2,2,2
% 2.80/1.01 Id : 14, {_}: divide (divide ?15 ?15) (divide (divide ?16 (multiply (divide ?17 (divide ?18 ?16)) ?18)) (multiply (divide ?19 ?17) (divide ?20 ?20))) =>= ?19 [20, 19, 18, 17, 16, 15] by Demod 13 with 3 at 2,2,2
% 2.80/1.01 Id : 1971, {_}: divide (divide ?17614 ?17614) (divide (divide (divide (divide ?17615 (multiply (divide ?17616 (divide ?17617 ?17615)) ?17617)) (multiply (divide ?17618 ?17616) (divide ?17619 ?17619))) (multiply (divide ?17620 ?17618) (divide ?17621 ?17621))) (multiply (divide ?17622 ?17620) (divide ?17623 ?17623))) =>= ?17622 [17623, 17622, 17621, 17620, 17619, 17618, 17617, 17616, 17615, 17614] by Super 17 with 14 at 2,1,2,1,2,2
% 2.80/1.01 Id : 8, {_}: divide (divide ?2 ?2) (divide ?3 (multiply (divide ?4 (divide ?5 ?3)) ?5)) =>= ?4 [5, 4, 3, 2] by Demod 2 with 3 at 2,2,2
% 2.80/1.01 Id : 6, {_}: divide (divide ?22 ?22) (divide (divide (divide ?23 (divide ?24 ?25)) (inverse ?24)) (divide ?23 (inverse ?25))) =?= divide ?26 ?26 [26, 25, 24, 23, 22] by Super 4 with 2 at 1,2,2,2
% 2.80/1.01 Id : 53, {_}: divide (divide ?22 ?22) (divide (multiply (divide ?23 (divide ?24 ?25)) ?24) (divide ?23 (inverse ?25))) =?= divide ?26 ?26 [26, 25, 24, 23, 22] by Demod 6 with 3 at 1,2,2
% 2.80/1.01 Id : 54, {_}: divide (divide ?22 ?22) (divide (multiply (divide ?23 (divide ?24 ?25)) ?24) (multiply ?23 ?25)) =?= divide ?26 ?26 [26, 25, 24, 23, 22] by Demod 53 with 3 at 2,2,2
% 2.80/1.01 Id : 70, {_}: divide (divide ?448 ?448) (divide (multiply ?449 ?450) (multiply (divide ?451 ?451) (multiply (divide ?449 (divide ?452 ?450)) ?452))) =?= divide ?453 ?453 [453, 452, 451, 450, 449, 448] by Super 8 with 54 at 1,2,2,2
% 2.80/1.01 Id : 1142, {_}: divide ?11743 ?11743 =?= divide (multiply (divide ?11744 (divide ?11745 ?11746)) ?11745) (multiply ?11744 ?11746) [11746, 11745, 11744, 11743] by Super 8 with 70 at 2
% 2.80/1.01 Id : 2020, {_}: divide (divide ?18315 ?18315) (divide (divide (divide (divide ?18316 (multiply (divide ?18317 (divide ?18318 ?18316)) ?18318)) (multiply (divide ?18319 ?18317) (divide ?18320 ?18320))) (multiply (divide (multiply ?18321 ?18322) ?18319) (divide ?18323 ?18323))) (multiply (divide ?18324 ?18324) (divide ?18325 ?18325))) =?= multiply (divide ?18321 (divide ?18326 ?18322)) ?18326 [18326, 18325, 18324, 18323, 18322, 18321, 18320, 18319, 18318, 18317, 18316, 18315] by Super 1971 with 1142 at 1,2,2,2
% 2.80/1.01 Id : 1272, {_}: divide ?12991 ?12991 =?= divide (multiply (divide ?12992 (divide ?12993 ?12994)) ?12993) (multiply ?12992 ?12994) [12994, 12993, 12992, 12991] by Super 8 with 70 at 2
% 2.80/1.01 Id : 1345, {_}: divide ?13598 ?13598 =?= divide ?13599 ?13599 [13599, 13598] by Super 1272 with 1142 at 3
% 2.80/1.01 Id : 1481, {_}: divide (divide ?14652 ?14652) (divide ?14653 (multiply (divide ?14654 ?14654) ?14655)) =>= divide ?14655 ?14653 [14655, 14654, 14653, 14652] by Super 8 with 1345 at 1,2,2,2
% 2.80/1.01 Id : 2233, {_}: divide (divide ?18325 ?18325) (divide (divide (divide ?18316 (multiply (divide ?18317 (divide ?18318 ?18316)) ?18318)) (multiply (divide ?18319 ?18317) (divide ?18320 ?18320))) (multiply (divide (multiply ?18321 ?18322) ?18319) (divide ?18323 ?18323))) =?= multiply (divide ?18321 (divide ?18326 ?18322)) ?18326 [18326, 18323, 18322, 18321, 18320, 18319, 18318, 18317, 18316, 18325] by Demod 2020 with 1481 at 2
% 2.80/1.01 Id : 15, {_}: divide (divide ?46 ?46) (divide (divide (divide ?47 (multiply (divide ?48 (divide ?49 ?47)) ?49)) (multiply (divide ?50 ?48) (divide ?51 ?51))) (multiply (divide ?52 ?50) (divide ?53 ?53))) =>= ?52 [53, 52, 51, 50, 49, 48, 47, 46] by Super 8 with 14 at 2,1,2,2,2
% 2.80/1.01 Id : 2234, {_}: multiply ?18321 ?18322 =<= multiply (divide ?18321 (divide ?18326 ?18322)) ?18326 [18326, 18322, 18321] by Demod 2233 with 15 at 2
% 2.80/1.01 Id : 2288, {_}: multiply ?21217 ?21218 =<= multiply (divide ?21217 (divide ?21219 ?21218)) ?21219 [21219, 21218, 21217] by Demod 2233 with 15 at 2
% 2.80/1.01 Id : 2315, {_}: multiply ?21402 (inverse ?21403) =<= multiply (divide ?21402 (multiply ?21404 ?21403)) ?21404 [21404, 21403, 21402] by Super 2288 with 3 at 2,1,3
% 2.80/1.01 Id : 2252, {_}: divide (divide ?2 ?2) (divide ?3 (multiply ?4 ?3)) =>= ?4 [4, 3, 2] by Demod 8 with 2234 at 2,2,2
% 2.80/1.01 Id : 2343, {_}: multiply (divide ?21577 ?21577) (multiply ?21578 ?21579) =>= multiply ?21578 ?21579 [21579, 21578, 21577] by Super 2288 with 2252 at 1,3
% 2.80/1.01 Id : 25, {_}: divide (divide ?131 ?131) (divide (divide (multiply (divide ?132 (divide ?133 ?134)) ?133) (multiply ?132 ?134)) (multiply (divide ?135 (divide ?136 ?136)) (divide ?137 ?137))) =>= ?135 [137, 136, 135, 134, 133, 132, 131] by Super 17 with 8 at 1,2,1,2,2
% 2.80/1.01 Id : 2738, {_}: divide (divide ?131 ?131) (divide (divide (multiply ?132 ?134) (multiply ?132 ?134)) (multiply (divide ?135 (divide ?136 ?136)) (divide ?137 ?137))) =>= ?135 [137, 136, 135, 134, 132, 131] by Demod 25 with 2234 at 1,1,2,2
% 2.80/1.01 Id : 2297, {_}: multiply ?21277 ?21278 =<= multiply (divide ?21277 (divide ?21279 ?21279)) ?21278 [21279, 21278, 21277] by Super 2288 with 1345 at 2,1,3
% 2.80/1.01 Id : 2377, {_}: divide (divide ?21795 ?21795) (divide ?21796 (multiply ?21797 ?21796)) =?= divide ?21797 (divide ?21798 ?21798) [21798, 21797, 21796, 21795] by Super 2252 with 2297 at 2,2,2
% 2.80/1.01 Id : 2419, {_}: ?21797 =<= divide ?21797 (divide ?21798 ?21798) [21798, 21797] by Demod 2377 with 2252 at 2
% 2.80/1.01 Id : 2753, {_}: divide (divide ?23411 ?23411) (divide (divide (multiply ?23412 ?23413) (multiply ?23412 ?23413)) (multiply ?23414 (divide ?23415 ?23415))) =>= ?23414 [23415, 23414, 23413, 23412, 23411] by Demod 2738 with 2419 at 1,2,2,2
% 2.80/1.01 Id : 1485, {_}: multiply (inverse ?14672) ?14672 =?= divide ?14673 ?14673 [14673, 14672] by Super 3 with 1345 at 3
% 2.80/1.01 Id : 2763, {_}: divide (divide ?23486 ?23486) (divide (divide (multiply ?23487 ?23488) (multiply ?23487 ?23488)) (divide ?23489 ?23489)) =?= inverse (divide ?23490 ?23490) [23490, 23489, 23488, 23487, 23486] by Super 2753 with 1485 at 2,2,2
% 2.80/1.01 Id : 2812, {_}: divide (divide ?23486 ?23486) (divide (multiply ?23487 ?23488) (multiply ?23487 ?23488)) =?= inverse (divide ?23490 ?23490) [23490, 23488, 23487, 23486] by Demod 2763 with 2419 at 2,2
% 2.80/1.01 Id : 2813, {_}: divide ?23486 ?23486 =?= inverse (divide ?23490 ?23490) [23490, 23486] by Demod 2812 with 2419 at 2
% 2.80/1.01 Id : 2868, {_}: multiply ?23933 (divide ?23934 ?23934) =?= divide ?23933 (divide ?23935 ?23935) [23935, 23934, 23933] by Super 3 with 2813 at 2,3
% 2.80/1.01 Id : 2920, {_}: multiply ?23933 (divide ?23934 ?23934) =>= ?23933 [23934, 23933] by Demod 2868 with 2419 at 3
% 2.80/1.01 Id : 2957, {_}: multiply (divide ?24298 ?24298) ?24299 =?= multiply ?24299 (divide ?24300 ?24300) [24300, 24299, 24298] by Super 2343 with 2920 at 2,2
% 2.80/1.01 Id : 2984, {_}: multiply (divide ?24298 ?24298) ?24299 =>= ?24299 [24299, 24298] by Demod 2957 with 2920 at 3
% 2.80/1.01 Id : 3018, {_}: multiply ?24445 (inverse ?24446) =<= multiply (divide ?24445 ?24446) (divide ?24447 ?24447) [24447, 24446, 24445] by Super 2315 with 2984 at 2,1,3
% 2.80/1.01 Id : 3043, {_}: multiply ?24445 (inverse ?24446) =>= divide ?24445 ?24446 [24446, 24445] by Demod 3018 with 2920 at 3
% 2.80/1.01 Id : 3057, {_}: divide ?21402 ?21403 =<= multiply (divide ?21402 (multiply ?21404 ?21403)) ?21404 [21404, 21403, 21402] by Demod 2315 with 3043 at 2
% 2.80/1.01 Id : 3060, {_}: divide (divide ?24532 ?24532) ?24533 =>= inverse ?24533 [24533, 24532] by Super 2984 with 3043 at 2
% 2.80/1.01 Id : 3200, {_}: divide (divide ?25003 ?25003) ?25004 =?= multiply (inverse (multiply ?25005 ?25004)) ?25005 [25005, 25004, 25003] by Super 3057 with 3060 at 1,3
% 2.80/1.01 Id : 3691, {_}: inverse ?26008 =<= multiply (inverse (multiply ?26009 ?26008)) ?26009 [26009, 26008] by Demod 3200 with 3060 at 2
% 2.80/1.01 Id : 3225, {_}: inverse ?25004 =<= multiply (inverse (multiply ?25005 ?25004)) ?25005 [25005, 25004] by Demod 3200 with 3060 at 2
% 2.80/1.01 Id : 3702, {_}: inverse ?26043 =<= multiply (inverse (inverse ?26044)) (inverse (multiply ?26043 ?26044)) [26044, 26043] by Super 3691 with 3225 at 1,1,3
% 2.80/1.01 Id : 3736, {_}: inverse ?26043 =<= divide (inverse (inverse ?26044)) (multiply ?26043 ?26044) [26044, 26043] by Demod 3702 with 3043 at 3
% 2.80/1.01 Id : 3176, {_}: multiply (divide ?24897 ?24897) ?24898 =>= inverse (inverse ?24898) [24898, 24897] by Super 3 with 3060 at 3
% 2.80/1.01 Id : 3271, {_}: ?24898 =<= inverse (inverse ?24898) [24898] by Demod 3176 with 2984 at 2
% 2.80/1.01 Id : 3737, {_}: inverse ?26043 =<= divide ?26044 (multiply ?26043 ?26044) [26044, 26043] by Demod 3736 with 3271 at 1,3
% 2.80/1.01 Id : 3920, {_}: multiply ?26349 (multiply ?26350 ?26351) =<= multiply (divide ?26349 (inverse ?26350)) ?26351 [26351, 26350, 26349] by Super 2234 with 3737 at 2,1,3
% 2.80/1.01 Id : 3943, {_}: multiply ?26349 (multiply ?26350 ?26351) =<= multiply (multiply ?26349 ?26350) ?26351 [26351, 26350, 26349] by Demod 3920 with 3 at 1,3
% 2.80/1.01 Id : 4005, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 3943 at 2
% 2.80/1.01 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 2.80/1.01 % SZS output end CNFRefutation for theBenchmark.p
% 2.80/1.01 4409: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.67564 using kbo
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