TSTP Solution File: GRP606-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP606-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n022.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 10:30:58 EDT 2022
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP606-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n022.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 12:49:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 7663: Facts:
% 0.12/0.34 7663: Id : 2, {_}:
% 0.12/0.34 double_divide
% 0.12/0.34 (inverse
% 0.12/0.34 (double_divide ?2
% 0.12/0.34 (inverse (double_divide (inverse ?3) (double_divide ?2 ?4)))))
% 0.12/0.34 ?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 7663: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 7663: Goal:
% 0.12/0.34 7663: Id : 1, {_}:
% 0.12/0.34 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.34 [] by prove_these_axioms_2
% 0.18/0.49 Statistics :
% 0.18/0.49 Max weight : 37
% 0.18/0.49 Found proof, 0.148763s
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.49 Id : 11, {_}: multiply ?30 ?31 =<= inverse (double_divide ?31 ?30) [31, 30] by multiply ?30 ?31
% 0.18/0.49 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 0.18/0.49 Id : 2, {_}: double_divide (inverse (double_divide ?2 (inverse (double_divide (inverse ?3) (double_divide ?2 ?4))))) ?4 =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.49 Id : 4, {_}: double_divide (inverse (double_divide ?9 (inverse (double_divide (inverse ?10) (double_divide ?9 ?11))))) ?11 =>= ?10 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 0.18/0.49 Id : 5, {_}: double_divide (inverse (double_divide (inverse (double_divide ?13 (inverse (double_divide (inverse ?14) (double_divide ?13 ?15))))) (inverse (double_divide (inverse ?16) ?14)))) ?15 =>= ?16 [16, 15, 14, 13] by Super 4 with 2 at 2,1,2,1,1,2
% 0.18/0.49 Id : 14, {_}: double_divide (multiply (inverse (double_divide (inverse ?16) ?14)) (inverse (double_divide ?13 (inverse (double_divide (inverse ?14) (double_divide ?13 ?15)))))) ?15 =>= ?16 [15, 13, 14, 16] by Demod 5 with 3 at 1,2
% 0.18/0.49 Id : 15, {_}: double_divide (multiply (multiply ?14 (inverse ?16)) (inverse (double_divide ?13 (inverse (double_divide (inverse ?14) (double_divide ?13 ?15)))))) ?15 =>= ?16 [15, 13, 16, 14] by Demod 14 with 3 at 1,1,2
% 0.18/0.49 Id : 16, {_}: double_divide (multiply (multiply ?14 (inverse ?16)) (multiply (inverse (double_divide (inverse ?14) (double_divide ?13 ?15))) ?13)) ?15 =>= ?16 [15, 13, 16, 14] by Demod 15 with 3 at 2,1,2
% 0.18/0.49 Id : 17, {_}: double_divide (multiply (multiply ?14 (inverse ?16)) (multiply (multiply (double_divide ?13 ?15) (inverse ?14)) ?13)) ?15 =>= ?16 [15, 13, 16, 14] by Demod 16 with 3 at 1,2,1,2
% 0.18/0.49 Id : 8, {_}: double_divide (multiply (inverse (double_divide (inverse ?3) (double_divide ?2 ?4))) ?2) ?4 =>= ?3 [4, 2, 3] by Demod 2 with 3 at 1,2
% 0.18/0.49 Id : 9, {_}: double_divide (multiply (multiply (double_divide ?2 ?4) (inverse ?3)) ?2) ?4 =>= ?3 [3, 4, 2] by Demod 8 with 3 at 1,1,2
% 0.18/0.49 Id : 12, {_}: multiply ?33 (multiply (multiply (double_divide ?34 ?33) (inverse ?35)) ?34) =>= inverse ?35 [35, 34, 33] by Super 11 with 9 at 1,3
% 0.18/0.49 Id : 26, {_}: double_divide (inverse ?83) (multiply ?83 (inverse ?84)) =>= ?84 [84, 83] by Super 17 with 12 at 1,2
% 0.18/0.49 Id : 34, {_}: multiply (multiply ?113 (inverse ?114)) (inverse ?113) =>= inverse ?114 [114, 113] by Super 3 with 26 at 1,3
% 0.18/0.49 Id : 72, {_}: double_divide (inverse (multiply ?259 (inverse ?260))) (inverse ?260) =>= ?259 [260, 259] by Super 26 with 34 at 2,2
% 0.18/0.49 Id : 109, {_}: double_divide (inverse (inverse ?400)) (inverse ?401) =>= multiply ?401 (inverse ?400) [401, 400] by Super 72 with 34 at 1,1,2
% 0.18/0.49 Id : 111, {_}: double_divide (inverse (multiply ?407 ?408)) (inverse ?409) =>= multiply ?409 (inverse (double_divide ?408 ?407)) [409, 408, 407] by Super 109 with 3 at 1,1,2
% 0.18/0.49 Id : 187, {_}: double_divide (inverse (multiply ?658 ?659)) (inverse ?660) =>= multiply ?660 (multiply ?658 ?659) [660, 659, 658] by Demod 111 with 3 at 2,3
% 0.18/0.49 Id : 60, {_}: double_divide (inverse (multiply ?219 (inverse ?220))) (inverse ?220) =>= ?219 [220, 219] by Super 26 with 34 at 2,2
% 0.18/0.49 Id : 113, {_}: double_divide (inverse (multiply ?407 ?408)) (inverse ?409) =>= multiply ?409 (multiply ?407 ?408) [409, 408, 407] by Demod 111 with 3 at 2,3
% 0.18/0.49 Id : 179, {_}: multiply ?220 (multiply ?219 (inverse ?220)) =>= ?219 [219, 220] by Demod 60 with 113 at 2
% 0.18/0.49 Id : 193, {_}: double_divide (inverse ?686) (inverse ?687) =<= multiply ?687 (multiply ?688 (multiply ?686 (inverse ?688))) [688, 687, 686] by Super 187 with 179 at 1,1,2
% 0.18/0.49 Id : 213, {_}: double_divide (inverse ?725) (inverse ?726) =>= multiply ?726 ?725 [726, 725] by Demod 193 with 179 at 2,3
% 0.18/0.49 Id : 214, {_}: double_divide (inverse ?728) (multiply ?729 ?730) =>= multiply (double_divide ?730 ?729) ?728 [730, 729, 728] by Super 213 with 3 at 2,2
% 0.18/0.49 Id : 235, {_}: multiply (double_divide (inverse ?84) ?83) ?83 =>= ?84 [83, 84] by Demod 26 with 214 at 2
% 0.18/0.49 Id : 20, {_}: double_divide (multiply (multiply ?51 (inverse ?52)) (multiply (multiply (double_divide ?53 ?54) (inverse ?51)) ?53)) ?54 =>= ?52 [54, 53, 52, 51] by Demod 16 with 3 at 1,2,1,2
% 0.18/0.49 Id : 23, {_}: double_divide (multiply (multiply ?68 (inverse ?69)) (multiply (multiply ?70 (inverse ?68)) (multiply (multiply ?71 (inverse ?70)) (multiply (multiply (double_divide ?72 ?73) (inverse ?71)) ?72)))) ?73 =>= ?69 [73, 72, 71, 70, 69, 68] by Super 20 with 17 at 1,1,2,1,2
% 0.18/0.49 Id : 203, {_}: double_divide (inverse ?686) (inverse ?687) =>= multiply ?687 ?686 [687, 686] by Demod 193 with 179 at 2,3
% 0.18/0.49 Id : 225, {_}: multiply (inverse ?767) (inverse ?768) =>= inverse (multiply ?767 ?768) [768, 767] by Super 3 with 203 at 1,3
% 0.18/0.49 Id : 226, {_}: multiply (inverse ?770) (multiply ?771 ?772) =>= inverse (multiply ?770 (double_divide ?772 ?771)) [772, 771, 770] by Super 225 with 3 at 2,2
% 0.18/0.49 Id : 383, {_}: inverse (multiply ?1308 (double_divide (inverse (inverse ?1308)) ?1309)) =>= ?1309 [1309, 1308] by Super 179 with 226 at 2
% 0.18/0.49 Id : 208, {_}: multiply (inverse ?704) (inverse ?705) =>= inverse (multiply ?704 ?705) [705, 704] by Super 3 with 203 at 1,3
% 0.18/0.49 Id : 218, {_}: multiply ?739 (inverse (multiply ?740 ?739)) =>= inverse ?740 [740, 739] by Super 179 with 208 at 2,2
% 0.18/0.49 Id : 698, {_}: multiply ?2274 (multiply (inverse ?2275) ?2276) =>= inverse (multiply ?2275 (double_divide ?2276 ?2274)) [2276, 2275, 2274] by Super 12 with 218 at 1,2,2
% 0.18/0.49 Id : 704, {_}: multiply ?2303 (inverse (multiply ?2304 ?2305)) =<= inverse (multiply ?2304 (double_divide (inverse ?2305) ?2303)) [2305, 2304, 2303] by Super 698 with 208 at 2,2
% 0.18/0.49 Id : 1369, {_}: multiply ?1309 (inverse (multiply ?1308 (inverse ?1308))) =>= ?1309 [1308, 1309] by Demod 383 with 704 at 2
% 0.18/0.49 Id : 1397, {_}: multiply (multiply ?3744 (inverse ?3744)) ?3745 =>= ?3745 [3745, 3744] by Super 179 with 1369 at 2,2
% 0.18/0.49 Id : 1531, {_}: double_divide (multiply (inverse ?4018) (multiply (multiply ?4019 (inverse (multiply ?4020 (inverse ?4020)))) (multiply (multiply ?4021 (inverse ?4019)) (multiply (multiply (double_divide ?4022 ?4023) (inverse ?4021)) ?4022)))) ?4023 =>= ?4018 [4023, 4022, 4021, 4020, 4019, 4018] by Super 23 with 1397 at 1,1,2
% 0.18/0.49 Id : 349, {_}: double_divide (multiply (inverse ?1226) ?1227) ?1228 =>= multiply ?1226 (double_divide ?1227 ?1228) [1228, 1227, 1226] by Super 9 with 218 at 1,1,2
% 0.18/0.49 Id : 1565, {_}: multiply ?4018 (double_divide (multiply (multiply ?4019 (inverse (multiply ?4020 (inverse ?4020)))) (multiply (multiply ?4021 (inverse ?4019)) (multiply (multiply (double_divide ?4022 ?4023) (inverse ?4021)) ?4022))) ?4023) =>= ?4018 [4023, 4022, 4021, 4020, 4019, 4018] by Demod 1531 with 349 at 2
% 0.18/0.49 Id : 19, {_}: double_divide (multiply (multiply ?45 (inverse ?46)) (multiply (multiply ?47 (inverse ?45)) (multiply (multiply (double_divide ?48 ?49) (inverse ?47)) ?48))) ?49 =>= ?46 [49, 48, 47, 46, 45] by Super 9 with 17 at 1,1,1,2
% 0.18/0.49 Id : 1566, {_}: multiply ?4018 (multiply ?4020 (inverse ?4020)) =>= ?4018 [4020, 4018] by Demod 1565 with 19 at 2,2
% 0.18/0.49 Id : 1610, {_}: double_divide (inverse ?4160) (multiply ?4161 (inverse ?4161)) =>= ?4160 [4161, 4160] by Super 235 with 1566 at 2
% 0.18/0.49 Id : 1640, {_}: multiply (double_divide (inverse ?4161) ?4161) ?4160 =>= ?4160 [4160, 4161] by Demod 1610 with 214 at 2
% 0.18/0.49 Id : 1679, {_}: double_divide (multiply (multiply ?4354 (inverse ?4355)) (multiply (inverse ?4354) (inverse ?4356))) ?4356 =>= ?4355 [4356, 4355, 4354] by Super 17 with 1640 at 1,2,1,2
% 0.18/0.49 Id : 350, {_}: multiply ?1230 (multiply (inverse ?1231) ?1232) =>= inverse (multiply ?1231 (double_divide ?1232 ?1230)) [1232, 1231, 1230] by Super 12 with 218 at 1,2,2
% 0.18/0.49 Id : 1765, {_}: double_divide (inverse (multiply ?4354 (double_divide (inverse ?4356) (multiply ?4354 (inverse ?4355))))) ?4356 =>= ?4355 [4355, 4356, 4354] by Demod 1679 with 350 at 1,2
% 0.18/0.49 Id : 639, {_}: double_divide (multiply (inverse ?2108) ?2109) ?2110 =>= multiply ?2108 (double_divide ?2109 ?2110) [2110, 2109, 2108] by Super 9 with 218 at 1,1,2
% 0.18/0.49 Id : 645, {_}: double_divide (inverse (multiply ?2137 ?2138)) ?2139 =>= multiply ?2137 (double_divide (inverse ?2138) ?2139) [2139, 2138, 2137] by Super 639 with 208 at 1,2
% 0.18/0.49 Id : 1766, {_}: multiply ?4354 (double_divide (inverse (double_divide (inverse ?4356) (multiply ?4354 (inverse ?4355)))) ?4356) =>= ?4355 [4355, 4356, 4354] by Demod 1765 with 645 at 2
% 0.18/0.49 Id : 1767, {_}: multiply ?4354 (double_divide (multiply (multiply ?4354 (inverse ?4355)) (inverse ?4356)) ?4356) =>= ?4355 [4356, 4355, 4354] by Demod 1766 with 3 at 1,2,2
% 0.18/0.49 Id : 227, {_}: multiply (multiply ?774 ?775) (inverse ?776) =>= inverse (multiply (double_divide ?775 ?774) ?776) [776, 775, 774] by Super 225 with 3 at 1,2
% 0.18/0.49 Id : 1768, {_}: multiply ?4354 (double_divide (inverse (multiply (double_divide (inverse ?4355) ?4354) ?4356)) ?4356) =>= ?4355 [4356, 4355, 4354] by Demod 1767 with 227 at 1,2,2
% 0.18/0.49 Id : 1769, {_}: multiply ?4354 (multiply (double_divide (inverse ?4355) ?4354) (double_divide (inverse ?4356) ?4356)) =>= ?4355 [4356, 4355, 4354] by Demod 1768 with 645 at 2,2
% 0.18/0.49 Id : 10, {_}: double_divide (multiply (multiply (double_divide ?25 ?26) (multiply ?27 ?28)) ?25) ?26 =>= double_divide ?28 ?27 [28, 27, 26, 25] by Super 9 with 3 at 2,1,1,2
% 0.18/0.49 Id : 352, {_}: double_divide (multiply (multiply (double_divide ?1237 ?1238) (inverse ?1239)) ?1237) ?1238 =?= double_divide (inverse (multiply ?1239 ?1240)) ?1240 [1240, 1239, 1238, 1237] by Super 10 with 218 at 2,1,1,2
% 0.18/0.49 Id : 372, {_}: ?1239 =<= double_divide (inverse (multiply ?1239 ?1240)) ?1240 [1240, 1239] by Demod 352 with 9 at 2
% 0.18/0.49 Id : 814, {_}: ?1239 =<= multiply ?1239 (double_divide (inverse ?1240) ?1240) [1240, 1239] by Demod 372 with 645 at 3
% 0.18/0.49 Id : 1770, {_}: multiply ?4354 (double_divide (inverse ?4355) ?4354) =>= ?4355 [4355, 4354] by Demod 1769 with 814 at 2,2
% 0.18/0.49 Id : 1811, {_}: multiply ?4498 (inverse (multiply ?4498 ?4499)) =>= inverse ?4499 [4499, 4498] by Super 704 with 1770 at 1,3
% 0.18/0.49 Id : 1880, {_}: inverse (inverse ?4758) =>= ?4758 [4758] by Super 1369 with 1811 at 2
% 0.18/0.49 Id : 2025, {_}: double_divide (inverse ?4910) ?4911 =>= multiply (inverse ?4911) ?4910 [4911, 4910] by Super 203 with 1880 at 2,2
% 0.18/0.49 Id : 2273, {_}: multiply (multiply (inverse ?4161) ?4161) ?4160 =>= ?4160 [4160, 4161] by Demod 1640 with 2025 at 1,2
% 0.18/0.49 Id : 2418, {_}: a2 === a2 [] by Demod 1 with 2273 at 2
% 0.18/0.49 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.18/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.49 7663: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.152599 using nrkbo
%------------------------------------------------------------------------------