TSTP Solution File: GRP607-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP607-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n021.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 61.35s 15.70s
% Output : CNFRefutation 61.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP607-1 : 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 : n021.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 : Tue Jun 14 10:01:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 26580: Facts:
% 0.12/0.34 26580: 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 26580: 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 26580: Goal:
% 0.12/0.34 26580: 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
% 61.35/15.70 Statistics :
% 61.35/15.70 Max weight : 37
% 61.35/15.70 Found proof, 15.357801s
% 61.35/15.70 % SZS status Unsatisfiable for theBenchmark.p
% 61.35/15.70 % SZS output start CNFRefutation for theBenchmark.p
% 61.35/15.70 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
% 61.35/15.70 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 61.35/15.70 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
% 61.35/15.70 Id : 11, {_}: multiply ?30 ?31 =<= inverse (double_divide ?31 ?30) [31, 30] by multiply ?30 ?31
% 61.35/15.70 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
% 61.35/15.70 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
% 61.35/15.70 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
% 61.35/15.70 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
% 61.35/15.70 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
% 61.35/15.70 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
% 61.35/15.70 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
% 61.35/15.70 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
% 61.35/15.70 Id : 26, {_}: double_divide (inverse ?83) (multiply ?83 (inverse ?84)) =>= ?84 [84, 83] by Super 17 with 12 at 1,2
% 61.35/15.70 Id : 34, {_}: multiply (multiply ?113 (inverse ?114)) (inverse ?113) =>= inverse ?114 [114, 113] by Super 3 with 26 at 1,3
% 61.35/15.70 Id : 60, {_}: double_divide (inverse (multiply ?219 (inverse ?220))) (inverse ?220) =>= ?219 [220, 219] by Super 26 with 34 at 2,2
% 61.35/15.70 Id : 72, {_}: double_divide (inverse (multiply ?259 (inverse ?260))) (inverse ?260) =>= ?259 [260, 259] by Super 26 with 34 at 2,2
% 61.35/15.70 Id : 109, {_}: double_divide (inverse (inverse ?400)) (inverse ?401) =>= multiply ?401 (inverse ?400) [401, 400] by Super 72 with 34 at 1,1,2
% 61.35/15.70 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
% 61.35/15.70 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
% 61.35/15.70 Id : 179, {_}: multiply ?220 (multiply ?219 (inverse ?220)) =>= ?219 [219, 220] by Demod 60 with 113 at 2
% 61.35/15.70 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
% 61.35/15.70 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
% 61.35/15.70 Id : 203, {_}: double_divide (inverse ?686) (inverse ?687) =>= multiply ?687 ?686 [687, 686] by Demod 193 with 179 at 2,3
% 61.35/15.70 Id : 208, {_}: multiply (inverse ?704) (inverse ?705) =>= inverse (multiply ?704 ?705) [705, 704] by Super 3 with 203 at 1,3
% 61.35/15.70 Id : 218, {_}: multiply ?739 (inverse (multiply ?740 ?739)) =>= inverse ?740 [740, 739] by Super 179 with 208 at 2,2
% 61.35/15.70 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
% 61.35/15.70 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
% 61.35/15.71 Id : 213, {_}: double_divide (inverse ?725) (inverse ?726) =>= multiply ?726 ?725 [726, 725] by Demod 193 with 179 at 2,3
% 61.35/15.71 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
% 61.35/15.71 Id : 235, {_}: multiply (double_divide (inverse ?84) ?83) ?83 =>= ?84 [83, 84] by Demod 26 with 214 at 2
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 Id : 225, {_}: multiply (inverse ?767) (inverse ?768) =>= inverse (multiply ?767 ?768) [768, 767] by Super 3 with 203 at 1,3
% 61.35/15.71 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
% 61.35/15.71 Id : 383, {_}: inverse (multiply ?1308 (double_divide (inverse (inverse ?1308)) ?1309)) =>= ?1309 [1309, 1308] by Super 179 with 226 at 2
% 61.35/15.71 Id : 1369, {_}: multiply ?1309 (inverse (multiply ?1308 (inverse ?1308))) =>= ?1309 [1308, 1309] by Demod 383 with 704 at 2
% 61.35/15.71 Id : 1397, {_}: multiply (multiply ?3744 (inverse ?3744)) ?3745 =>= ?3745 [3745, 3744] by Super 179 with 1369 at 2,2
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 Id : 1566, {_}: multiply ?4018 (multiply ?4020 (inverse ?4020)) =>= ?4018 [4020, 4018] by Demod 1565 with 19 at 2,2
% 61.35/15.71 Id : 1610, {_}: double_divide (inverse ?4160) (multiply ?4161 (inverse ?4161)) =>= ?4160 [4161, 4160] by Super 235 with 1566 at 2
% 61.35/15.71 Id : 1640, {_}: multiply (double_divide (inverse ?4161) ?4161) ?4160 =>= ?4160 [4160, 4161] by Demod 1610 with 214 at 2
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 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
% 61.35/15.71 Id : 372, {_}: ?1239 =<= double_divide (inverse (multiply ?1239 ?1240)) ?1240 [1240, 1239] by Demod 352 with 9 at 2
% 61.35/15.71 Id : 814, {_}: ?1239 =<= multiply ?1239 (double_divide (inverse ?1240) ?1240) [1240, 1239] by Demod 372 with 645 at 3
% 61.35/15.71 Id : 1770, {_}: multiply ?4354 (double_divide (inverse ?4355) ?4354) =>= ?4355 [4355, 4354] by Demod 1769 with 814 at 2,2
% 61.35/15.71 Id : 1881, {_}: multiply ?4760 (inverse (multiply ?4760 ?4761)) =>= inverse ?4761 [4761, 4760] by Super 704 with 1770 at 1,3
% 61.35/15.71 Id : 1886, {_}: multiply ?4778 (inverse (inverse ?4779)) =>= inverse (inverse (multiply ?4779 ?4778)) [4779, 4778] by Super 1881 with 218 at 1,2,2
% 61.35/15.71 Id : 1811, {_}: multiply ?4498 (inverse (multiply ?4498 ?4499)) =>= inverse ?4499 [4499, 4498] by Super 704 with 1770 at 1,3
% 61.35/15.71 Id : 1880, {_}: inverse (inverse ?4758) =>= ?4758 [4758] by Super 1369 with 1811 at 2
% 61.35/15.71 Id : 3099, {_}: multiply ?4778 ?4779 =<= inverse (inverse (multiply ?4779 ?4778)) [4779, 4778] by Demod 1886 with 1880 at 2,2
% 61.35/15.71 Id : 3100, {_}: multiply ?4778 ?4779 =?= multiply ?4779 ?4778 [4779, 4778] by Demod 3099 with 1880 at 3
% 61.35/15.71 Id : 223, {_}: double_divide (inverse (inverse ?760)) (inverse (multiply ?760 ?761)) =>= ?761 [761, 760] by Super 26 with 208 at 2,2
% 61.35/15.71 Id : 231, {_}: multiply (multiply ?760 ?761) (inverse ?760) =>= ?761 [761, 760] by Demod 223 with 203 at 2
% 61.35/15.71 Id : 484, {_}: inverse (multiply (double_divide ?761 ?760) ?760) =>= ?761 [760, 761] by Demod 231 with 227 at 2
% 61.35/15.71 Id : 2046, {_}: inverse (inverse ?4992) =>= ?4992 [4992] by Super 1369 with 1811 at 2
% 61.35/15.71 Id : 2049, {_}: inverse (multiply ?4999 ?5000) =>= double_divide ?5000 ?4999 [5000, 4999] by Super 2046 with 3 at 1,2
% 61.35/15.71 Id : 2744, {_}: double_divide ?760 (double_divide ?761 ?760) =>= ?761 [761, 760] by Demod 484 with 2049 at 2
% 61.35/15.71 Id : 1884, {_}: multiply ?4772 (inverse ?4773) =<= inverse (multiply ?4773 (inverse ?4772)) [4773, 4772] by Super 1881 with 179 at 1,2,2
% 61.35/15.71 Id : 2823, {_}: multiply ?4772 (inverse ?4773) =<= double_divide (inverse ?4772) ?4773 [4773, 4772] by Demod 1884 with 2049 at 3
% 61.35/15.71 Id : 2025, {_}: double_divide (inverse ?4910) ?4911 =>= multiply (inverse ?4911) ?4910 [4911, 4910] by Super 203 with 1880 at 2,2
% 61.35/15.71 Id : 2892, {_}: multiply ?6331 (inverse ?6332) =?= multiply (inverse ?6332) ?6331 [6332, 6331] by Demod 2823 with 2025 at 3
% 61.35/15.71 Id : 2745, {_}: multiply ?1230 (multiply (inverse ?1231) ?1232) =>= double_divide (double_divide ?1232 ?1230) ?1231 [1232, 1231, 1230] by Demod 350 with 2049 at 3
% 61.35/15.71 Id : 2899, {_}: multiply (multiply (inverse ?6355) ?6356) (inverse ?6357) =>= double_divide (double_divide ?6356 (inverse ?6357)) ?6355 [6357, 6356, 6355] by Super 2892 with 2745 at 3
% 61.35/15.71 Id : 2743, {_}: multiply (multiply ?774 ?775) (inverse ?776) =>= double_divide ?776 (double_divide ?775 ?774) [776, 775, 774] by Demod 227 with 2049 at 3
% 61.35/15.71 Id : 3070, {_}: double_divide ?6357 (double_divide ?6356 (inverse ?6355)) =<= double_divide (double_divide ?6356 (inverse ?6357)) ?6355 [6355, 6356, 6357] by Demod 2899 with 2743 at 2
% 61.35/15.71 Id : 2026, {_}: double_divide ?4913 (inverse ?4914) =>= multiply ?4914 (inverse ?4913) [4914, 4913] by Super 203 with 1880 at 1,2
% 61.35/15.71 Id : 3071, {_}: double_divide ?6357 (double_divide ?6356 (inverse ?6355)) =<= double_divide (multiply ?6357 (inverse ?6356)) ?6355 [6355, 6356, 6357] by Demod 3070 with 2026 at 1,3
% 61.35/15.71 Id : 5253, {_}: double_divide ?10056 (multiply ?10057 (inverse ?10058)) =<= double_divide (multiply ?10056 (inverse ?10058)) ?10057 [10058, 10057, 10056] by Demod 3071 with 2026 at 2,2
% 61.35/15.71 Id : 5254, {_}: double_divide ?10060 (multiply ?10061 (inverse (inverse ?10062))) =>= double_divide (multiply ?10060 ?10062) ?10061 [10062, 10061, 10060] by Super 5253 with 1880 at 2,1,3
% 61.35/15.71 Id : 5350, {_}: double_divide ?10060 (multiply ?10061 ?10062) =<= double_divide (multiply ?10060 ?10062) ?10061 [10062, 10061, 10060] by Demod 5254 with 1880 at 2,2,2
% 61.35/15.71 Id : 7913, {_}: double_divide ?14114 (double_divide ?14115 (multiply ?14114 ?14116)) =>= multiply ?14115 ?14116 [14116, 14115, 14114] by Super 2744 with 5350 at 2,2
% 61.35/15.71 Id : 246, {_}: double_divide (inverse ?828) (multiply ?829 ?830) =>= multiply (double_divide ?830 ?829) ?828 [830, 829, 828] by Super 213 with 3 at 2,2
% 61.35/15.71 Id : 253, {_}: double_divide (multiply ?859 ?860) (multiply ?861 ?862) =>= multiply (double_divide ?862 ?861) (double_divide ?860 ?859) [862, 861, 860, 859] by Super 246 with 3 at 1,2
% 61.35/15.71 Id : 5416, {_}: double_divide ?859 (multiply (multiply ?861 ?862) ?860) =>= multiply (double_divide ?862 ?861) (double_divide ?860 ?859) [860, 862, 861, 859] by Demod 253 with 5350 at 2
% 61.35/15.71 Id : 5464, {_}: multiply ?10203 (multiply ?10204 ?10205) =<= inverse (double_divide ?10204 (multiply ?10203 ?10205)) [10205, 10204, 10203] by Super 3 with 5350 at 1,3
% 61.35/15.71 Id : 5564, {_}: multiply ?10203 (multiply ?10204 ?10205) =<= multiply (multiply ?10203 ?10205) ?10204 [10205, 10204, 10203] by Demod 5464 with 3 at 3
% 61.35/15.71 Id : 5646, {_}: double_divide ?859 (multiply ?861 (multiply ?860 ?862)) =>= multiply (double_divide ?862 ?861) (double_divide ?860 ?859) [862, 860, 861, 859] by Demod 5416 with 5564 at 2,2
% 61.35/15.71 Id : 7939, {_}: double_divide ?14242 (multiply (double_divide ?14243 ?14242) (double_divide ?14244 ?14245)) =>= multiply ?14245 (multiply ?14244 ?14243) [14245, 14244, 14243, 14242] by Super 7913 with 5646 at 2,2
% 61.35/15.71 Id : 5462, {_}: double_divide ?10195 (multiply (inverse ?10196) ?10197) =>= multiply ?10196 (inverse (multiply ?10195 ?10197)) [10197, 10196, 10195] by Super 2026 with 5350 at 2
% 61.35/15.71 Id : 6052, {_}: double_divide ?11040 (multiply (inverse ?11041) ?11042) =>= multiply ?11041 (double_divide ?11042 ?11040) [11042, 11041, 11040] by Demod 5462 with 2049 at 2,3
% 61.35/15.71 Id : 6054, {_}: double_divide ?11048 (multiply (double_divide ?11049 ?11050) ?11051) =>= multiply (multiply ?11050 ?11049) (double_divide ?11051 ?11048) [11051, 11050, 11049, 11048] by Super 6052 with 2049 at 1,2,2
% 61.35/15.71 Id : 6193, {_}: double_divide ?11048 (multiply (double_divide ?11049 ?11050) ?11051) =>= multiply ?11050 (multiply (double_divide ?11051 ?11048) ?11049) [11051, 11050, 11049, 11048] by Demod 6054 with 5564 at 3
% 61.35/15.71 Id : 82684, {_}: multiply ?14242 (multiply (double_divide (double_divide ?14244 ?14245) ?14242) ?14243) =>= multiply ?14245 (multiply ?14244 ?14243) [14243, 14245, 14244, 14242] by Demod 7939 with 6193 at 2
% 61.35/15.71 Id : 2907, {_}: multiply (multiply ?6385 (inverse (inverse ?6386))) (inverse ?6386) =>= ?6385 [6386, 6385] by Super 2892 with 179 at 2
% 61.35/15.71 Id : 3086, {_}: double_divide ?6386 (double_divide (inverse (inverse ?6386)) ?6385) =>= ?6385 [6385, 6386] by Demod 2907 with 2743 at 2
% 61.35/15.71 Id : 3087, {_}: double_divide ?6386 (multiply (inverse ?6385) (inverse ?6386)) =>= ?6385 [6385, 6386] by Demod 3086 with 2025 at 2,2
% 61.35/15.71 Id : 2742, {_}: multiply (inverse ?704) (inverse ?705) =>= double_divide ?705 ?704 [705, 704] by Demod 208 with 2049 at 3
% 61.35/15.71 Id : 3088, {_}: double_divide ?6386 (double_divide ?6386 ?6385) =>= ?6385 [6385, 6386] by Demod 3087 with 2742 at 2,2
% 61.35/15.71 Id : 2741, {_}: multiply (inverse ?770) (multiply ?771 ?772) =>= double_divide (double_divide ?772 ?771) ?770 [772, 771, 770] by Demod 226 with 2049 at 3
% 61.35/15.71 Id : 3158, {_}: multiply ?6666 (multiply ?6667 (inverse ?6668)) =>= double_divide (double_divide ?6667 ?6666) ?6668 [6668, 6667, 6666] by Super 2745 with 3100 at 2,2
% 61.35/15.71 Id : 5894, {_}: double_divide (double_divide ?10784 (inverse ?10785)) ?10786 =?= double_divide (double_divide (inverse ?10786) ?10784) ?10785 [10786, 10785, 10784] by Super 2741 with 3158 at 2
% 61.35/15.71 Id : 5950, {_}: double_divide (multiply ?10785 (inverse ?10784)) ?10786 =?= double_divide (double_divide (inverse ?10786) ?10784) ?10785 [10786, 10784, 10785] by Demod 5894 with 2026 at 1,2
% 61.35/15.71 Id : 5951, {_}: double_divide (multiply ?10785 (inverse ?10784)) ?10786 =?= double_divide (multiply (inverse ?10784) ?10786) ?10785 [10786, 10784, 10785] by Demod 5950 with 2025 at 1,3
% 61.35/15.71 Id : 5952, {_}: double_divide ?10785 (multiply ?10786 (inverse ?10784)) =?= double_divide (multiply (inverse ?10784) ?10786) ?10785 [10784, 10786, 10785] by Demod 5951 with 5350 at 2
% 61.35/15.71 Id : 5953, {_}: double_divide ?10785 (multiply ?10786 (inverse ?10784)) =?= double_divide (inverse ?10784) (multiply ?10785 ?10786) [10784, 10786, 10785] by Demod 5952 with 5350 at 3
% 61.35/15.71 Id : 5954, {_}: double_divide ?10785 (multiply ?10786 (inverse ?10784)) =>= multiply (inverse (multiply ?10785 ?10786)) ?10784 [10784, 10786, 10785] by Demod 5953 with 2025 at 3
% 61.35/15.71 Id : 5955, {_}: double_divide ?10785 (multiply ?10786 (inverse ?10784)) =>= multiply (double_divide ?10786 ?10785) ?10784 [10784, 10786, 10785] by Demod 5954 with 2049 at 1,3
% 61.35/15.71 Id : 6283, {_}: double_divide ?11210 (multiply (double_divide ?11211 ?11210) ?11212) =>= multiply ?11211 (inverse ?11212) [11212, 11211, 11210] by Super 3088 with 5955 at 2,2
% 61.35/15.71 Id : 18202, {_}: multiply ?11210 (multiply (double_divide ?11212 ?11210) ?11211) =>= multiply ?11211 (inverse ?11212) [11211, 11212, 11210] by Demod 6283 with 6193 at 2
% 61.35/15.71 Id : 82685, {_}: multiply ?14243 (inverse (double_divide ?14244 ?14245)) =>= multiply ?14245 (multiply ?14244 ?14243) [14245, 14244, 14243] by Demod 82684 with 18202 at 2
% 61.35/15.71 Id : 82686, {_}: multiply ?14243 (multiply ?14245 ?14244) =?= multiply ?14245 (multiply ?14244 ?14243) [14244, 14245, 14243] by Demod 82685 with 3 at 2,2
% 61.35/15.71 Id : 84152, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 84151 with 82686 at 2
% 61.35/15.71 Id : 84151, {_}: multiply c3 (multiply a3 b3) =>= multiply a3 (multiply b3 c3) [] by Demod 1 with 3100 at 2
% 61.35/15.71 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 61.35/15.71 % SZS output end CNFRefutation for theBenchmark.p
% 61.35/15.71 26581: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 15.365538 using kbo
%------------------------------------------------------------------------------