TSTP Solution File: GRP431-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP431-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n011.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 10:30:16 EDT 2022
% Result : Unsatisfiable 2.47s 0.94s
% Output : CNFRefutation 2.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP431-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 19:40:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 26388: Facts:
% 0.13/0.34 26388: Id : 2, {_}:
% 0.13/0.34 multiply ?2
% 0.13/0.34 (inverse
% 0.13/0.34 (multiply ?3
% 0.13/0.34 (multiply
% 0.13/0.34 (multiply (multiply ?4 (inverse ?4))
% 0.13/0.34 (inverse (multiply ?5 ?3))) ?2)))
% 0.13/0.34 =>=
% 0.13/0.34 ?5
% 0.13/0.34 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.13/0.34 26388: Goal:
% 0.13/0.34 26388: Id : 1, {_}:
% 0.13/0.34 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.13/0.34 [] by prove_these_axioms_2
% 2.47/0.94 Statistics :
% 2.47/0.94 Max weight : 56
% 2.47/0.94 Found proof, 0.597802s
% 2.47/0.94 % SZS status Unsatisfiable for theBenchmark.p
% 2.47/0.94 % SZS output start CNFRefutation for theBenchmark.p
% 2.47/0.94 Id : 3, {_}: multiply ?7 (inverse (multiply ?8 (multiply (multiply (multiply ?9 (inverse ?9)) (inverse (multiply ?10 ?8))) ?7))) =>= ?10 [10, 9, 8, 7] by single_axiom ?7 ?8 ?9 ?10
% 2.47/0.94 Id : 2, {_}: multiply ?2 (inverse (multiply ?3 (multiply (multiply (multiply ?4 (inverse ?4)) (inverse (multiply ?5 ?3))) ?2))) =>= ?5 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 2.47/0.94 Id : 5, {_}: multiply ?19 (inverse (multiply (multiply (multiply (multiply ?20 (inverse ?20)) (inverse (multiply ?21 ?22))) (multiply ?23 (inverse ?23))) (multiply ?21 ?19))) =>= ?22 [23, 22, 21, 20, 19] by Super 3 with 2 at 1,2,1,2,2
% 2.47/0.94 Id : 9, {_}: multiply ?42 (inverse (multiply (multiply ?43 (multiply ?44 (inverse ?44))) (multiply ?45 ?42))) =?= multiply (multiply (multiply ?46 (inverse ?46)) (inverse (multiply ?43 ?45))) (multiply ?47 (inverse ?47)) [47, 46, 45, 44, 43, 42] by Super 2 with 5 at 1,2,1,2,2
% 2.47/0.94 Id : 79, {_}: multiply (multiply ?678 (inverse ?678)) (inverse (multiply ?679 (multiply ?680 (inverse (multiply (multiply ?681 (multiply ?682 (inverse ?682))) (multiply ?679 ?680)))))) =>= ?681 [682, 681, 680, 679, 678] by Super 2 with 9 at 2,1,2,2
% 2.47/0.94 Id : 186, {_}: multiply (multiply ?1619 (inverse ?1619)) (inverse (multiply ?1620 (multiply ?1621 (inverse (multiply (multiply ?1622 (multiply ?1623 (inverse ?1623))) (multiply ?1620 ?1621)))))) =>= ?1622 [1623, 1622, 1621, 1620, 1619] by Super 2 with 9 at 2,1,2,2
% 2.47/0.94 Id : 197, {_}: multiply (multiply ?1715 (inverse ?1715)) (inverse (multiply ?1716 ?1717)) =?= multiply (multiply ?1718 (inverse ?1718)) (inverse (multiply ?1716 ?1717)) [1718, 1717, 1716, 1715] by Super 186 with 5 at 2,1,2,2
% 2.47/0.94 Id : 237, {_}: multiply ?2002 (inverse (multiply (inverse (multiply ?2003 ?2004)) (multiply (multiply (multiply ?2005 (inverse ?2005)) (inverse (multiply (multiply ?2006 (inverse ?2006)) (inverse (multiply ?2003 ?2004))))) ?2002))) =?= multiply ?2007 (inverse ?2007) [2007, 2006, 2005, 2004, 2003, 2002] by Super 2 with 197 at 1,2,1,2,1,2,2
% 2.47/0.94 Id : 336, {_}: multiply ?2006 (inverse ?2006) =?= multiply ?2007 (inverse ?2007) [2007, 2006] by Demod 237 with 2 at 2
% 2.47/0.94 Id : 416, {_}: multiply ?3005 (inverse (multiply (multiply (multiply ?3006 (inverse ?3006)) (multiply ?3007 (inverse ?3007))) (multiply ?3008 ?3005))) =>= inverse ?3008 [3008, 3007, 3006, 3005] by Super 5 with 336 at 1,1,1,2,2
% 2.47/0.94 Id : 914, {_}: multiply ?5527 (inverse (multiply (multiply (multiply ?5528 (inverse ?5528)) (multiply ?5529 (inverse ?5529))) (multiply ?5530 ?5527))) =>= inverse ?5530 [5530, 5529, 5528, 5527] by Super 5 with 336 at 1,1,1,2,2
% 2.47/0.94 Id : 947, {_}: multiply (multiply (multiply ?5731 (inverse ?5731)) (inverse (multiply (multiply ?5732 (inverse ?5732)) ?5733))) (multiply ?5734 (inverse ?5734)) =>= inverse ?5733 [5734, 5733, 5732, 5731] by Super 914 with 9 at 2
% 2.47/0.94 Id : 2050, {_}: multiply ?11432 (inverse (multiply (inverse (inverse (multiply ?11433 (inverse ?11433)))) (multiply ?11434 ?11432))) =>= inverse ?11434 [11434, 11433, 11432] by Super 416 with 947 at 1,1,2,2
% 2.47/0.94 Id : 3002, {_}: multiply (inverse ?15456) (inverse (multiply (inverse (inverse (multiply ?15457 (inverse ?15457)))) (multiply ?15458 (inverse ?15458)))) =>= inverse ?15456 [15458, 15457, 15456] by Super 2050 with 336 at 2,1,2,2
% 2.47/0.94 Id : 4, {_}: multiply ?12 (inverse (multiply (inverse (multiply ?13 (multiply (multiply (multiply ?14 (inverse ?14)) (inverse (multiply ?15 ?13))) ?16))) (multiply (multiply (multiply ?17 (inverse ?17)) (inverse ?15)) ?12))) =>= ?16 [17, 16, 15, 14, 13, 12] by Super 3 with 2 at 1,2,1,2,1,2,2
% 2.47/0.94 Id : 404, {_}: multiply ?2939 (inverse (multiply (inverse ?2940) (multiply (multiply ?2941 (inverse ?2941)) ?2939))) =>= ?2940 [2941, 2940, 2939] by Super 2 with 336 at 1,2,1,2,2
% 2.47/0.94 Id : 502, {_}: multiply ?3384 (multiply (multiply (multiply ?3385 (inverse ?3385)) (inverse (multiply (multiply ?3386 (inverse ?3386)) ?3384))) ?3387) =>= ?3387 [3387, 3386, 3385, 3384] by Super 4 with 404 at 2
% 2.47/0.94 Id : 3045, {_}: multiply (inverse ?15662) (inverse (inverse (multiply (multiply ?15663 (inverse ?15663)) (inverse (multiply (multiply ?15664 (inverse ?15664)) (inverse (inverse (multiply ?15665 (inverse ?15665))))))))) =>= inverse ?15662 [15665, 15664, 15663, 15662] by Super 3002 with 502 at 1,2,2
% 2.47/0.94 Id : 1763, {_}: multiply ?10029 (inverse (multiply (inverse (inverse (multiply ?10030 (inverse ?10030)))) (multiply ?10031 ?10029))) =>= inverse ?10031 [10031, 10030, 10029] by Super 416 with 947 at 1,1,2,2
% 2.47/0.94 Id : 2033, {_}: inverse (multiply (multiply ?11327 (inverse ?11327)) (inverse (multiply ?11328 (inverse (inverse (multiply ?11329 (inverse ?11329))))))) =>= ?11328 [11329, 11328, 11327] by Super 2 with 1763 at 2
% 2.47/0.94 Id : 3108, {_}: multiply (inverse ?15824) (inverse (multiply ?15825 (inverse ?15825))) =>= inverse ?15824 [15825, 15824] by Demod 3045 with 2033 at 1,2,2
% 2.47/0.94 Id : 3135, {_}: multiply ?15927 (inverse (multiply ?15928 (inverse ?15928))) =?= inverse (multiply (multiply ?15929 (inverse ?15929)) (inverse (multiply ?15927 (inverse (inverse (multiply ?15930 (inverse ?15930))))))) [15930, 15929, 15928, 15927] by Super 3108 with 2033 at 1,2
% 2.47/0.94 Id : 3248, {_}: multiply ?16384 (inverse (multiply ?16385 (inverse ?16385))) =>= ?16384 [16385, 16384] by Demod 3135 with 2033 at 3
% 2.47/0.94 Id : 1277, {_}: multiply ?7524 (multiply (multiply (multiply ?7525 (inverse ?7525)) (inverse (multiply (multiply ?7526 (inverse ?7526)) ?7524))) ?7527) =>= ?7527 [7527, 7526, 7525, 7524] by Super 4 with 404 at 2
% 2.47/0.94 Id : 289, {_}: multiply (multiply ?2384 (inverse ?2384)) (inverse (multiply ?2385 ?2386)) =?= multiply (multiply ?2387 (inverse ?2387)) (inverse (multiply ?2385 ?2386)) [2387, 2386, 2385, 2384] by Super 186 with 5 at 2,1,2,2
% 2.47/0.94 Id : 290, {_}: multiply (multiply ?2389 (inverse ?2389)) (inverse (multiply ?2390 (inverse (multiply ?2391 (multiply (multiply (multiply ?2392 (inverse ?2392)) (inverse (multiply ?2393 ?2391))) ?2390))))) =?= multiply (multiply ?2394 (inverse ?2394)) (inverse ?2393) [2394, 2393, 2392, 2391, 2390, 2389] by Super 289 with 2 at 1,2,3
% 2.47/0.94 Id : 350, {_}: multiply (multiply ?2389 (inverse ?2389)) (inverse ?2393) =?= multiply (multiply ?2394 (inverse ?2394)) (inverse ?2393) [2394, 2393, 2389] by Demod 290 with 2 at 1,2,2
% 2.47/0.94 Id : 668, {_}: multiply ?4351 (inverse ?4351) =?= multiply (multiply ?4352 (inverse ?4352)) (inverse (multiply ?4353 (inverse ?4353))) [4353, 4352, 4351] by Super 336 with 350 at 3
% 2.47/0.94 Id : 1341, {_}: multiply (inverse (multiply ?7910 (inverse ?7910))) (multiply ?7911 (inverse ?7911)) =?= inverse (multiply ?7912 (inverse ?7912)) [7912, 7911, 7910] by Super 1277 with 668 at 2,2
% 2.47/0.94 Id : 3266, {_}: multiply ?16449 (multiply (inverse (multiply ?16450 (inverse ?16450))) (multiply ?16451 (inverse ?16451))) =>= ?16449 [16451, 16450, 16449] by Super 3248 with 1341 at 2,2
% 2.47/0.94 Id : 3343, {_}: multiply (multiply ?16526 (inverse ?16526)) (inverse (multiply (inverse (multiply ?16527 (inverse ?16527))) (multiply (multiply ?16528 (inverse ?16528)) (inverse (multiply ?16529 (multiply ?16530 (inverse ?16530))))))) =>= ?16529 [16530, 16529, 16528, 16527, 16526] by Super 79 with 3266 at 1,2,2,1,2,2
% 2.47/0.94 Id : 1320, {_}: multiply (inverse (multiply ?7786 (inverse ?7786))) (multiply (multiply ?7787 (inverse ?7787)) ?7788) =>= ?7788 [7788, 7787, 7786] by Super 1277 with 336 at 1,2,2
% 2.47/0.94 Id : 3404, {_}: multiply (multiply ?16526 (inverse ?16526)) (inverse (inverse (multiply ?16529 (multiply ?16530 (inverse ?16530))))) =>= ?16529 [16530, 16529, 16526] by Demod 3343 with 1320 at 1,2,2
% 2.47/0.94 Id : 3157, {_}: multiply ?15927 (inverse (multiply ?15928 (inverse ?15928))) =>= ?15927 [15928, 15927] by Demod 3135 with 2033 at 3
% 2.47/0.94 Id : 3453, {_}: multiply (inverse (inverse (multiply ?16867 (multiply ?16868 (inverse ?16868))))) (inverse (multiply (inverse ?16869) ?16867)) =>= ?16869 [16869, 16868, 16867] by Super 404 with 3404 at 2,1,2,2
% 2.47/0.94 Id : 5412, {_}: ?24017 =<= inverse (inverse (multiply (inverse (inverse ?24017)) (multiply ?24018 (inverse ?24018)))) [24018, 24017] by Super 3157 with 3453 at 2
% 2.47/0.94 Id : 5544, {_}: multiply (multiply ?24460 (inverse ?24460)) ?24461 =>= inverse (inverse ?24461) [24461, 24460] by Super 3404 with 5412 at 2,2
% 2.47/0.94 Id : 5708, {_}: multiply ?3384 (multiply (inverse (inverse (inverse (multiply (multiply ?3386 (inverse ?3386)) ?3384)))) ?3387) =>= ?3387 [3387, 3386, 3384] by Demod 502 with 5544 at 1,2,2
% 2.47/0.94 Id : 5709, {_}: multiply ?3384 (multiply (inverse (inverse (inverse (inverse (inverse ?3384))))) ?3387) =>= ?3387 [3387, 3384] by Demod 5708 with 5544 at 1,1,1,1,2,2
% 2.47/0.94 Id : 5747, {_}: multiply ?25135 (multiply (inverse (inverse (inverse (inverse (multiply ?25136 (inverse ?25136)))))) (multiply ?25137 (inverse ?25137))) =>= ?25135 [25137, 25136, 25135] by Super 3266 with 5544 at 1,1,2,2
% 2.47/0.94 Id : 1740, {_}: multiply ?9869 (inverse (multiply (multiply (multiply (multiply ?9870 (inverse ?9870)) (inverse (multiply (multiply ?9871 (inverse ?9871)) ?9872))) (multiply ?9873 (inverse ?9873))) (multiply (multiply ?9874 (inverse ?9874)) ?9869))) =?= multiply (multiply (multiply ?9875 (inverse ?9875)) (inverse (inverse ?9872))) (multiply ?9876 (inverse ?9876)) [9876, 9875, 9874, 9873, 9872, 9871, 9870, 9869] by Super 9 with 947 at 1,2,1,3
% 2.47/0.94 Id : 1844, {_}: multiply ?9869 (inverse (multiply (inverse ?9872) (multiply (multiply ?9874 (inverse ?9874)) ?9869))) =?= multiply (multiply (multiply ?9875 (inverse ?9875)) (inverse (inverse ?9872))) (multiply ?9876 (inverse ?9876)) [9876, 9875, 9874, 9872, 9869] by Demod 1740 with 947 at 1,1,2,2
% 2.47/0.94 Id : 1845, {_}: ?9872 =<= multiply (multiply (multiply ?9875 (inverse ?9875)) (inverse (inverse ?9872))) (multiply ?9876 (inverse ?9876)) [9876, 9875, 9872] by Demod 1844 with 404 at 2
% 2.47/0.94 Id : 5696, {_}: ?9872 =<= multiply (inverse (inverse (inverse (inverse ?9872)))) (multiply ?9876 (inverse ?9876)) [9876, 9872] by Demod 1845 with 5544 at 1,3
% 2.47/0.94 Id : 5864, {_}: multiply ?25135 (multiply ?25136 (inverse ?25136)) =>= ?25135 [25136, 25135] by Demod 5747 with 5696 at 2,2
% 2.47/0.94 Id : 5912, {_}: ?24017 =<= inverse (inverse (inverse (inverse ?24017))) [24017] by Demod 5412 with 5864 at 1,1,3
% 2.47/0.94 Id : 5919, {_}: multiply ?3384 (multiply (inverse ?3384) ?3387) =>= ?3387 [3387, 3384] by Demod 5709 with 5912 at 1,2,2
% 2.47/0.94 Id : 5951, {_}: ?25559 =<= inverse (inverse ?25559) [25559] by Super 5919 with 5864 at 2
% 2.47/0.94 Id : 6045, {_}: multiply (multiply ?24460 (inverse ?24460)) ?24461 =>= ?24461 [24461, 24460] by Demod 5544 with 5951 at 3
% 2.47/0.94 Id : 6068, {_}: multiply (multiply (inverse ?25696) ?25696) ?25697 =>= ?25697 [25697, 25696] by Super 6045 with 5951 at 2,1,2
% 2.47/0.94 Id : 6417, {_}: a2 === a2 [] by Demod 1 with 6068 at 2
% 2.47/0.94 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 2.47/0.94 % SZS output end CNFRefutation for theBenchmark.p
% 2.47/0.94 26391: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.60012 using nrkbo
%------------------------------------------------------------------------------