TSTP Solution File: GRP480-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP480-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n006.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 10:30:27 EDT 2022
% Result : Unsatisfiable 41.47s 10.72s
% Output : CNFRefutation 41.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP480-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 12:48:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 4021: Facts:
% 0.13/0.35 4021: Id : 2, {_}:
% 0.13/0.35 divide
% 0.13/0.35 (inverse
% 0.13/0.35 (divide (divide (divide ?2 ?2) ?3) (divide ?4 (divide ?3 ?5))))
% 0.13/0.35 ?5
% 0.13/0.35 =>=
% 0.13/0.35 ?4
% 0.13/0.35 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.13/0.35 4021: Id : 3, {_}:
% 0.13/0.35 multiply ?7 ?8 =<= divide ?7 (inverse ?8)
% 0.13/0.35 [8, 7] by multiply ?7 ?8
% 0.13/0.35 4021: Goal:
% 0.13/0.35 4021: Id : 1, {_}:
% 0.13/0.35 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.13/0.35 [] by prove_these_axioms_3
% 41.47/10.72 Statistics :
% 41.47/10.72 Max weight : 78
% 41.47/10.72 Found proof, 10.373943s
% 41.47/10.72 % SZS status Unsatisfiable for theBenchmark.p
% 41.47/10.72 % SZS output start CNFRefutation for theBenchmark.p
% 41.47/10.72 Id : 2, {_}: divide (inverse (divide (divide (divide ?2 ?2) ?3) (divide ?4 (divide ?3 ?5)))) ?5 =>= ?4 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 41.47/10.72 Id : 4, {_}: divide (inverse (divide (divide (divide ?10 ?10) ?11) (divide ?12 (divide ?11 ?13)))) ?13 =>= ?12 [13, 12, 11, 10] by single_axiom ?10 ?11 ?12 ?13
% 41.47/10.72 Id : 3, {_}: multiply ?7 ?8 =<= divide ?7 (inverse ?8) [8, 7] by multiply ?7 ?8
% 41.47/10.72 Id : 6, {_}: divide (inverse (divide (divide (divide ?22 ?22) ?23) ?24)) ?25 =?= inverse (divide (divide (divide ?26 ?26) ?27) (divide ?24 (divide ?27 (divide ?23 ?25)))) [27, 26, 25, 24, 23, 22] by Super 4 with 2 at 2,1,1,2
% 41.47/10.72 Id : 5, {_}: divide (inverse (divide (divide (divide ?15 ?15) (inverse (divide (divide (divide ?16 ?16) ?17) (divide ?18 (divide ?17 ?19))))) (divide ?20 ?18))) ?19 =>= ?20 [20, 19, 18, 17, 16, 15] by Super 4 with 2 at 2,2,1,1,2
% 41.47/10.72 Id : 18, {_}: divide (inverse (divide (multiply (divide ?15 ?15) (divide (divide (divide ?16 ?16) ?17) (divide ?18 (divide ?17 ?19)))) (divide ?20 ?18))) ?19 =>= ?20 [20, 19, 18, 17, 16, 15] by Demod 5 with 3 at 1,1,1,2
% 41.47/10.72 Id : 22, {_}: divide (inverse (divide (multiply (divide ?87 ?87) (divide (divide (divide ?88 ?88) ?89) (divide ?90 (divide ?89 ?91)))) (divide ?92 ?90))) ?91 =>= ?92 [92, 91, 90, 89, 88, 87] by Demod 5 with 3 at 1,1,1,2
% 41.47/10.72 Id : 23, {_}: divide (inverse (divide (multiply (divide ?94 ?94) (divide (divide (divide ?95 ?95) ?96) (divide ?97 (divide ?96 ?98)))) ?99)) ?98 =?= inverse (divide (divide (divide ?100 ?100) ?101) (divide ?99 (divide ?101 ?97))) [101, 100, 99, 98, 97, 96, 95, 94] by Super 22 with 2 at 2,1,1,2
% 41.47/10.72 Id : 1304, {_}: inverse (divide (divide (divide ?6515 ?6515) ?6516) (divide (divide ?6517 ?6518) (divide ?6516 ?6518))) =>= ?6517 [6518, 6517, 6516, 6515] by Super 18 with 23 at 2
% 41.47/10.72 Id : 1348, {_}: inverse (divide (multiply (divide ?6830 ?6830) ?6831) (divide (divide ?6832 ?6833) (divide (inverse ?6831) ?6833))) =>= ?6832 [6833, 6832, 6831, 6830] by Super 1304 with 3 at 1,1,2
% 41.47/10.72 Id : 3107, {_}: multiply ?16917 (divide (multiply (divide ?16918 ?16918) ?16919) (divide (divide ?16920 ?16921) (divide (inverse ?16919) ?16921))) =>= divide ?16917 ?16920 [16921, 16920, 16919, 16918, 16917] by Super 3 with 1348 at 2,3
% 41.47/10.72 Id : 2998, {_}: inverse (divide (divide (multiply (inverse ?16319) ?16319) ?16320) (divide (divide ?16321 ?16322) (divide ?16320 ?16322))) =>= ?16321 [16322, 16321, 16320, 16319] by Super 1304 with 3 at 1,1,1,2
% 41.47/10.72 Id : 3072, {_}: inverse (divide (multiply (multiply (inverse ?16865) ?16865) ?16866) (divide (divide ?16867 ?16868) (divide (inverse ?16866) ?16868))) =>= ?16867 [16868, 16867, 16866, 16865] by Super 2998 with 3 at 1,1,2
% 41.47/10.72 Id : 1319, {_}: inverse (divide (divide (divide ?6630 ?6630) ?6631) (divide (divide ?6632 (inverse ?6633)) (multiply ?6631 ?6633))) =>= ?6632 [6633, 6632, 6631, 6630] by Super 1304 with 3 at 2,2,1,2
% 41.47/10.72 Id : 1369, {_}: inverse (divide (divide (divide ?6630 ?6630) ?6631) (divide (multiply ?6632 ?6633) (multiply ?6631 ?6633))) =>= ?6632 [6633, 6632, 6631, 6630] by Demod 1319 with 3 at 1,2,1,2
% 41.47/10.72 Id : 1389, {_}: multiply ?6881 (divide (divide (divide ?6882 ?6882) ?6883) (divide (multiply ?6884 ?6885) (multiply ?6883 ?6885))) =>= divide ?6881 ?6884 [6885, 6884, 6883, 6882, 6881] by Super 3 with 1369 at 2,3
% 41.47/10.72 Id : 8, {_}: divide (inverse (divide (divide (divide ?31 ?31) ?32) (divide ?33 (multiply ?32 ?34)))) (inverse ?34) =>= ?33 [34, 33, 32, 31] by Super 2 with 3 at 2,2,1,1,2
% 41.47/10.72 Id : 15, {_}: multiply (inverse (divide (divide (divide ?31 ?31) ?32) (divide ?33 (multiply ?32 ?34)))) ?34 =>= ?33 [34, 33, 32, 31] by Demod 8 with 3 at 2
% 41.47/10.72 Id : 86, {_}: divide (divide (inverse (divide (divide (divide ?404 ?404) ?405) ?406)) ?407) (divide ?405 ?407) =>= ?406 [407, 406, 405, 404] by Super 2 with 6 at 1,2
% 41.47/10.72 Id : 193, {_}: multiply (inverse (divide ?902 (divide ?903 (multiply (divide ?904 (inverse (divide (divide (divide ?905 ?905) ?904) ?902))) ?906)))) ?906 =>= ?903 [906, 905, 904, 903, 902] by Super 15 with 86 at 1,1,1,2
% 41.47/10.72 Id : 223, {_}: multiply (inverse (divide ?902 (divide ?903 (multiply (multiply ?904 (divide (divide (divide ?905 ?905) ?904) ?902)) ?906)))) ?906 =>= ?903 [906, 905, 904, 903, 902] by Demod 193 with 3 at 1,2,2,1,1,2
% 41.47/10.72 Id : 30, {_}: divide (inverse (divide (multiply (divide ?157 ?157) (divide (divide (divide ?158 ?158) ?159) ?160)) (divide ?161 (inverse (divide (multiply (divide ?162 ?162) (divide (divide (divide ?163 ?163) ?164) (divide ?165 (divide ?164 (divide ?159 ?166))))) (divide ?160 ?165)))))) ?166 =>= ?161 [166, 165, 164, 163, 162, 161, 160, 159, 158, 157] by Super 22 with 18 at 2,2,1,1,1,2
% 41.47/10.73 Id : 42, {_}: divide (inverse (divide (multiply (divide ?157 ?157) (divide (divide (divide ?158 ?158) ?159) ?160)) (multiply ?161 (divide (multiply (divide ?162 ?162) (divide (divide (divide ?163 ?163) ?164) (divide ?165 (divide ?164 (divide ?159 ?166))))) (divide ?160 ?165))))) ?166 =>= ?161 [166, 165, 164, 163, 162, 161, 160, 159, 158, 157] by Demod 30 with 3 at 2,1,1,2
% 41.47/10.73 Id : 202, {_}: divide (divide (inverse (divide (divide (divide ?974 ?974) ?975) ?976)) ?977) (divide ?975 ?977) =>= ?976 [977, 976, 975, 974] by Super 2 with 6 at 1,2
% 41.47/10.73 Id : 208, {_}: divide (divide (inverse (divide (divide (divide ?1018 ?1018) ?1019) ?1020)) (inverse ?1021)) (multiply ?1019 ?1021) =>= ?1020 [1021, 1020, 1019, 1018] by Super 202 with 3 at 2,2
% 41.47/10.73 Id : 372, {_}: divide (multiply (inverse (divide (divide (divide ?1664 ?1664) ?1665) ?1666)) ?1667) (multiply ?1665 ?1667) =>= ?1666 [1667, 1666, 1665, 1664] by Demod 208 with 3 at 1,2
% 41.47/10.73 Id : 378, {_}: divide (multiply (inverse (divide (multiply (divide ?1702 ?1702) ?1703) ?1704)) ?1705) (multiply (inverse ?1703) ?1705) =>= ?1704 [1705, 1704, 1703, 1702] by Super 372 with 3 at 1,1,1,1,2
% 41.47/10.73 Id : 88082, {_}: divide ?485240 (multiply (inverse ?485241) ?485242) =<= divide ?485240 (multiply (multiply ?485243 (divide (divide (divide ?485244 ?485244) ?485243) (multiply (divide ?485245 ?485245) ?485241))) ?485242) [485245, 485244, 485243, 485242, 485241, 485240] by Super 378 with 223 at 1,2
% 41.47/10.73 Id : 89234, {_}: divide (inverse (divide (multiply (divide ?494319 ?494319) (divide (divide (divide ?494320 ?494320) ?494321) ?494322)) (multiply (inverse ?494323) (divide (multiply (divide ?494324 ?494324) (divide (divide (divide ?494325 ?494325) ?494326) (divide ?494327 (divide ?494326 (divide ?494321 ?494328))))) (divide ?494322 ?494327))))) ?494328 =?= multiply ?494329 (divide (divide (divide ?494330 ?494330) ?494329) (multiply (divide ?494331 ?494331) ?494323)) [494331, 494330, 494329, 494328, 494327, 494326, 494325, 494324, 494323, 494322, 494321, 494320, 494319] by Super 42 with 88082 at 1,1,2
% 41.47/10.73 Id : 89554, {_}: inverse ?494323 =<= multiply ?494329 (divide (divide (divide ?494330 ?494330) ?494329) (multiply (divide ?494331 ?494331) ?494323)) [494331, 494330, 494329, 494323] by Demod 89234 with 42 at 2
% 41.47/10.73 Id : 90512, {_}: multiply (inverse (divide ?497368 (divide ?497369 (inverse ?497370)))) (divide (divide (divide ?497371 ?497371) (multiply ?497372 (divide (divide (divide ?497373 ?497373) ?497372) ?497368))) (multiply (divide ?497374 ?497374) ?497370)) =>= ?497369 [497374, 497373, 497372, 497371, 497370, 497369, 497368] by Super 223 with 89554 at 2,2,1,1,2
% 41.47/10.73 Id : 196, {_}: divide (inverse (divide (divide (divide ?925 ?925) ?926) (divide (inverse (divide (divide (divide ?927 ?927) ?928) ?929)) (divide ?926 ?930)))) ?930 =?= inverse (divide (divide (divide ?931 ?931) ?928) ?929) [931, 930, 929, 928, 927, 926, 925] by Super 6 with 86 at 2,1,3
% 41.47/10.73 Id : 6409, {_}: inverse (divide (divide (divide ?34204 ?34204) ?34205) ?34206) =?= inverse (divide (divide (divide ?34207 ?34207) ?34205) ?34206) [34207, 34206, 34205, 34204] by Demod 196 with 2 at 2
% 41.47/10.73 Id : 6420, {_}: inverse (divide (divide (divide ?34278 ?34278) (divide ?34279 (inverse (divide (divide (divide ?34280 ?34280) ?34279) ?34281)))) ?34282) =>= inverse (divide ?34281 ?34282) [34282, 34281, 34280, 34279, 34278] by Super 6409 with 86 at 1,1,3
% 41.47/10.73 Id : 6497, {_}: inverse (divide (divide (divide ?34278 ?34278) (multiply ?34279 (divide (divide (divide ?34280 ?34280) ?34279) ?34281))) ?34282) =>= inverse (divide ?34281 ?34282) [34282, 34281, 34280, 34279, 34278] by Demod 6420 with 3 at 2,1,1,2
% 41.47/10.73 Id : 28325, {_}: multiply ?153090 (divide (divide (divide ?153091 ?153091) (multiply ?153092 (divide (divide (divide ?153093 ?153093) ?153092) ?153094))) ?153095) =>= divide ?153090 (inverse (divide ?153094 ?153095)) [153095, 153094, 153093, 153092, 153091, 153090] by Super 3 with 6497 at 2,3
% 41.47/10.73 Id : 28522, {_}: multiply ?153090 (divide (divide (divide ?153091 ?153091) (multiply ?153092 (divide (divide (divide ?153093 ?153093) ?153092) ?153094))) ?153095) =>= multiply ?153090 (divide ?153094 ?153095) [153095, 153094, 153093, 153092, 153091, 153090] by Demod 28325 with 3 at 3
% 41.47/10.73 Id : 91190, {_}: multiply (inverse (divide ?497368 (divide ?497369 (inverse ?497370)))) (divide ?497368 (multiply (divide ?497374 ?497374) ?497370)) =>= ?497369 [497374, 497370, 497369, 497368] by Demod 90512 with 28522 at 2
% 41.47/10.73 Id : 91665, {_}: multiply (inverse (divide ?503116 (multiply ?503117 ?503118))) (divide ?503116 (multiply (divide ?503119 ?503119) ?503118)) =>= ?503117 [503119, 503118, 503117, 503116] by Demod 91190 with 3 at 2,1,1,2
% 41.47/10.73 Id : 231, {_}: divide (multiply (inverse (divide (divide (divide ?1018 ?1018) ?1019) ?1020)) ?1021) (multiply ?1019 ?1021) =>= ?1020 [1021, 1020, 1019, 1018] by Demod 208 with 3 at 1,2
% 41.47/10.73 Id : 1057, {_}: inverse (divide (divide (divide ?5280 ?5280) ?5281) (divide (divide ?5282 ?5283) (divide ?5281 ?5283))) =>= ?5282 [5283, 5282, 5281, 5280] by Super 18 with 23 at 2
% 41.47/10.73 Id : 1292, {_}: divide (divide ?6440 ?6441) (divide ?6442 ?6441) =?= divide (divide ?6440 ?6443) (divide ?6442 ?6443) [6443, 6442, 6441, 6440] by Super 86 with 1057 at 1,1,2
% 41.47/10.73 Id : 2334, {_}: divide (multiply (inverse (divide (divide (divide ?12626 ?12626) ?12627) (divide ?12628 ?12627))) ?12629) (multiply ?12630 ?12629) =>= divide ?12628 ?12630 [12630, 12629, 12628, 12627, 12626] by Super 231 with 1292 at 1,1,1,2
% 41.47/10.73 Id : 91784, {_}: multiply (inverse (divide (multiply (inverse (divide (divide (divide ?504066 ?504066) ?504067) (divide ?504068 ?504067))) ?504069) (multiply ?504070 ?504069))) (divide ?504068 (divide ?504071 ?504071)) =>= ?504070 [504071, 504070, 504069, 504068, 504067, 504066] by Super 91665 with 2334 at 2,2
% 41.47/10.73 Id : 92186, {_}: multiply (inverse (divide ?504068 ?504070)) (divide ?504068 (divide ?504071 ?504071)) =>= ?504070 [504071, 504070, 504068] by Demod 91784 with 2334 at 1,1,2
% 41.47/10.73 Id : 92346, {_}: ?505751 =<= divide (inverse (divide (divide (divide ?505752 ?505752) ?505753) ?505751)) ?505753 [505753, 505752, 505751] by Super 1389 with 92186 at 2
% 41.47/10.73 Id : 93111, {_}: divide ?509269 (divide ?509270 ?509270) =>= ?509269 [509270, 509269] by Super 2 with 92346 at 2
% 41.47/10.73 Id : 100321, {_}: inverse (multiply (multiply (inverse ?535124) ?535124) ?535125) =>= inverse ?535125 [535125, 535124] by Super 3072 with 93111 at 1,2
% 41.47/10.73 Id : 100420, {_}: inverse (inverse ?535740) =<= inverse (divide (divide (divide ?535741 ?535741) (multiply (inverse ?535742) ?535742)) (multiply (divide ?535743 ?535743) ?535740)) [535743, 535742, 535741, 535740] by Super 100321 with 89554 at 1,2
% 41.47/10.73 Id : 94282, {_}: divide ?515515 (divide ?515516 ?515516) =>= ?515515 [515516, 515515] by Super 2 with 92346 at 2
% 41.47/10.73 Id : 94361, {_}: divide ?515973 (multiply (inverse ?515974) ?515974) =>= ?515973 [515974, 515973] by Super 94282 with 3 at 2,2
% 41.47/10.73 Id : 100488, {_}: inverse (inverse ?535740) =<= inverse (divide (divide ?535741 ?535741) (multiply (divide ?535743 ?535743) ?535740)) [535743, 535741, 535740] by Demod 100420 with 94361 at 1,1,3
% 41.47/10.73 Id : 93886, {_}: inverse (divide (divide ?513000 ?513000) ?513001) =>= ?513001 [513001, 513000] by Super 1369 with 93111 at 1,2
% 41.47/10.73 Id : 100489, {_}: inverse (inverse ?535740) =<= multiply (divide ?535743 ?535743) ?535740 [535743, 535740] by Demod 100488 with 93886 at 3
% 41.47/10.73 Id : 100541, {_}: multiply ?16917 (divide (inverse (inverse ?16919)) (divide (divide ?16920 ?16921) (divide (inverse ?16919) ?16921))) =>= divide ?16917 ?16920 [16921, 16920, 16919, 16917] by Demod 3107 with 100489 at 1,2,2
% 41.47/10.73 Id : 100747, {_}: inverse (inverse (divide (inverse (inverse ?536517)) (divide (divide ?536518 ?536519) (divide (inverse ?536517) ?536519)))) =?= divide (divide ?536520 ?536520) ?536518 [536520, 536519, 536518, 536517] by Super 100541 with 100489 at 2
% 41.47/10.73 Id : 100526, {_}: inverse (divide (inverse (inverse ?6831)) (divide (divide ?6832 ?6833) (divide (inverse ?6831) ?6833))) =>= ?6832 [6833, 6832, 6831] by Demod 1348 with 100489 at 1,1,2
% 41.47/10.73 Id : 100849, {_}: inverse ?536518 =<= divide (divide ?536520 ?536520) ?536518 [536520, 536518] by Demod 100747 with 100526 at 1,2
% 41.47/10.73 Id : 101291, {_}: divide (inverse (divide (inverse ?23) ?24)) ?25 =<= inverse (divide (divide (divide ?26 ?26) ?27) (divide ?24 (divide ?27 (divide ?23 ?25)))) [27, 26, 25, 24, 23] by Demod 6 with 100849 at 1,1,1,2
% 41.47/10.73 Id : 101292, {_}: divide (inverse (divide (inverse ?23) ?24)) ?25 =<= inverse (divide (inverse ?27) (divide ?24 (divide ?27 (divide ?23 ?25)))) [27, 25, 24, 23] by Demod 101291 with 100849 at 1,1,3
% 41.47/10.73 Id : 100491, {_}: inverse ?494323 =<= multiply ?494329 (divide (divide (divide ?494330 ?494330) ?494329) (inverse (inverse ?494323))) [494330, 494329, 494323] by Demod 89554 with 100489 at 2,2,3
% 41.47/10.73 Id : 100612, {_}: inverse ?494323 =<= multiply ?494329 (multiply (divide (divide ?494330 ?494330) ?494329) (inverse ?494323)) [494330, 494329, 494323] by Demod 100491 with 3 at 2,3
% 41.47/10.73 Id : 101341, {_}: inverse ?494323 =<= multiply ?494329 (multiply (inverse ?494329) (inverse ?494323)) [494329, 494323] by Demod 100612 with 100849 at 1,2,3
% 41.47/10.73 Id : 101328, {_}: inverse (inverse ?513001) =>= ?513001 [513001] by Demod 93886 with 100849 at 1,2
% 41.47/10.73 Id : 101357, {_}: multiply ?16917 (divide ?16919 (divide (divide ?16920 ?16921) (divide (inverse ?16919) ?16921))) =>= divide ?16917 ?16920 [16921, 16920, 16919, 16917] by Demod 100541 with 101328 at 1,2,2
% 41.47/10.73 Id : 210, {_}: divide (divide (inverse (divide (divide (multiply (inverse ?1032) ?1032) ?1033) ?1034)) ?1035) (divide ?1033 ?1035) =>= ?1034 [1035, 1034, 1033, 1032] by Super 202 with 3 at 1,1,1,1,1,2
% 41.47/10.73 Id : 2224, {_}: divide (divide (inverse (divide (divide (multiply (inverse ?11772) ?11772) ?11773) (divide ?11774 ?11773))) ?11775) (divide ?11776 ?11775) =>= divide ?11774 ?11776 [11776, 11775, 11774, 11773, 11772] by Super 210 with 1292 at 1,1,1,2
% 41.47/10.73 Id : 778, {_}: divide (inverse (divide (divide (divide ?3892 ?3892) ?3893) (divide (inverse (divide (divide (multiply (inverse ?3894) ?3894) ?3895) ?3896)) (divide ?3893 ?3897)))) ?3897 =?= inverse (divide (divide (divide ?3898 ?3898) ?3895) ?3896) [3898, 3897, 3896, 3895, 3894, 3893, 3892] by Super 6 with 210 at 2,1,3
% 41.47/10.73 Id : 811, {_}: inverse (divide (divide (multiply (inverse ?3894) ?3894) ?3895) ?3896) =?= inverse (divide (divide (divide ?3898 ?3898) ?3895) ?3896) [3898, 3896, 3895, 3894] by Demod 778 with 2 at 2
% 41.47/10.73 Id : 101312, {_}: inverse (divide (divide (multiply (inverse ?3894) ?3894) ?3895) ?3896) =>= inverse (divide (inverse ?3895) ?3896) [3896, 3895, 3894] by Demod 811 with 100849 at 1,1,3
% 41.47/10.73 Id : 101430, {_}: divide (divide (inverse (divide (inverse ?11773) (divide ?11774 ?11773))) ?11775) (divide ?11776 ?11775) =>= divide ?11774 ?11776 [11776, 11775, 11774, 11773] by Demod 2224 with 101312 at 1,1,2
% 41.47/10.73 Id : 375, {_}: divide (multiply (inverse (divide (divide (multiply (inverse ?1685) ?1685) ?1686) ?1687)) ?1688) (multiply ?1686 ?1688) =>= ?1687 [1688, 1687, 1686, 1685] by Super 372 with 3 at 1,1,1,1,1,2
% 41.47/10.73 Id : 2362, {_}: divide (multiply (inverse (divide (divide (multiply (inverse ?12860) ?12860) ?12861) (divide ?12862 ?12861))) ?12863) (multiply ?12864 ?12863) =>= divide ?12862 ?12864 [12864, 12863, 12862, 12861, 12860] by Super 375 with 1292 at 1,1,1,2
% 41.47/10.73 Id : 101423, {_}: divide (multiply (inverse (divide (inverse ?12861) (divide ?12862 ?12861))) ?12863) (multiply ?12864 ?12863) =>= divide ?12862 ?12864 [12864, 12863, 12862, 12861] by Demod 2362 with 101312 at 1,1,2
% 41.47/10.73 Id : 1298, {_}: divide (multiply ?6472 ?6473) (multiply ?6474 ?6473) =?= divide (divide ?6472 ?6475) (divide ?6474 ?6475) [6475, 6474, 6473, 6472] by Super 231 with 1057 at 1,1,2
% 41.47/10.73 Id : 2653, {_}: divide (multiply (inverse (divide (multiply (divide ?14473 ?14473) ?14474) (multiply ?14475 ?14474))) ?14476) (multiply ?14477 ?14476) =>= divide ?14475 ?14477 [14477, 14476, 14475, 14474, 14473] by Super 231 with 1298 at 1,1,1,2
% 41.47/10.73 Id : 100505, {_}: divide (multiply (inverse (divide (inverse (inverse ?14474)) (multiply ?14475 ?14474))) ?14476) (multiply ?14477 ?14476) =>= divide ?14475 ?14477 [14477, 14476, 14475, 14474] by Demod 2653 with 100489 at 1,1,1,1,2
% 41.47/10.73 Id : 101382, {_}: divide (multiply (inverse (divide ?14474 (multiply ?14475 ?14474))) ?14476) (multiply ?14477 ?14476) =>= divide ?14475 ?14477 [14477, 14476, 14475, 14474] by Demod 100505 with 101328 at 1,1,1,1,2
% 41.47/10.73 Id : 101429, {_}: divide (multiply (inverse (divide (inverse ?1686) ?1687)) ?1688) (multiply ?1686 ?1688) =>= ?1687 [1688, 1687, 1686] by Demod 375 with 101312 at 1,1,2
% 41.47/10.73 Id : 101386, {_}: ?535740 =<= multiply (divide ?535743 ?535743) ?535740 [535743, 535740] by Demod 100489 with 101328 at 2
% 41.47/10.73 Id : 101594, {_}: ?537458 =<= multiply (inverse (divide ?537459 ?537459)) ?537458 [537459, 537458] by Super 101386 with 100849 at 1,3
% 41.47/10.73 Id : 101980, {_}: divide ?538112 (multiply ?538113 ?538112) =>= inverse ?538113 [538113, 538112] by Super 101429 with 101594 at 1,2
% 41.47/10.73 Id : 102412, {_}: divide (multiply (inverse (inverse ?14475)) ?14476) (multiply ?14477 ?14476) =>= divide ?14475 ?14477 [14477, 14476, 14475] by Demod 101382 with 101980 at 1,1,1,2
% 41.47/10.73 Id : 102413, {_}: divide (multiply ?14475 ?14476) (multiply ?14477 ?14476) =>= divide ?14475 ?14477 [14477, 14476, 14475] by Demod 102412 with 101328 at 1,1,2
% 41.47/10.73 Id : 102434, {_}: divide (inverse (divide (inverse ?12861) (divide ?12862 ?12861))) ?12864 =>= divide ?12862 ?12864 [12864, 12862, 12861] by Demod 101423 with 102413 at 2
% 41.47/10.73 Id : 102436, {_}: divide (divide ?11774 ?11775) (divide ?11776 ?11775) =>= divide ?11774 ?11776 [11776, 11775, 11774] by Demod 101430 with 102434 at 1,2
% 41.47/10.73 Id : 102441, {_}: multiply ?16917 (divide ?16919 (divide ?16920 (inverse ?16919))) =>= divide ?16917 ?16920 [16920, 16919, 16917] by Demod 101357 with 102436 at 2,2,2
% 41.47/10.73 Id : 102472, {_}: multiply ?16917 (divide ?16919 (multiply ?16920 ?16919)) =>= divide ?16917 ?16920 [16920, 16919, 16917] by Demod 102441 with 3 at 2,2,2
% 41.47/10.73 Id : 102473, {_}: multiply ?16917 (inverse ?16920) =>= divide ?16917 ?16920 [16920, 16917] by Demod 102472 with 101980 at 2,2
% 41.47/10.73 Id : 102476, {_}: inverse ?494323 =<= multiply ?494329 (divide (inverse ?494329) ?494323) [494329, 494323] by Demod 101341 with 102473 at 2,3
% 41.47/10.73 Id : 102526, {_}: inverse (multiply ?538996 (inverse ?538997)) =>= multiply ?538997 (inverse ?538996) [538997, 538996] by Super 102476 with 101980 at 2,3
% 41.47/10.73 Id : 102775, {_}: inverse (divide ?538996 ?538997) =<= multiply ?538997 (inverse ?538996) [538997, 538996] by Demod 102526 with 102473 at 1,2
% 41.47/10.73 Id : 102776, {_}: inverse (divide ?538996 ?538997) =>= divide ?538997 ?538996 [538997, 538996] by Demod 102775 with 102473 at 3
% 41.47/10.73 Id : 102809, {_}: divide (divide ?24 (inverse ?23)) ?25 =<= inverse (divide (inverse ?27) (divide ?24 (divide ?27 (divide ?23 ?25)))) [27, 25, 23, 24] by Demod 101292 with 102776 at 1,2
% 41.47/10.73 Id : 102810, {_}: divide (divide ?24 (inverse ?23)) ?25 =<= divide (divide ?24 (divide ?27 (divide ?23 ?25))) (inverse ?27) [27, 25, 23, 24] by Demod 102809 with 102776 at 3
% 41.47/10.73 Id : 102895, {_}: divide (multiply ?24 ?23) ?25 =<= divide (divide ?24 (divide ?27 (divide ?23 ?25))) (inverse ?27) [27, 25, 23, 24] by Demod 102810 with 3 at 1,2
% 41.47/10.73 Id : 102896, {_}: divide (multiply ?24 ?23) ?25 =<= multiply (divide ?24 (divide ?27 (divide ?23 ?25))) ?27 [27, 25, 23, 24] by Demod 102895 with 3 at 3
% 41.47/10.73 Id : 102940, {_}: multiply ?539690 (divide ?539691 ?539692) =<= divide ?539690 (divide ?539692 ?539691) [539692, 539691, 539690] by Super 3 with 102776 at 2,3
% 41.47/10.73 Id : 103453, {_}: divide (multiply ?24 ?23) ?25 =<= multiply (multiply ?24 (divide (divide ?23 ?25) ?27)) ?27 [27, 25, 23, 24] by Demod 102896 with 102940 at 1,3
% 41.47/10.73 Id : 103486, {_}: divide (multiply ?540648 ?540649) ?540650 =<= multiply (multiply ?540648 (multiply (divide ?540649 ?540650) (divide ?540651 ?540652))) (divide ?540652 ?540651) [540652, 540651, 540650, 540649, 540648] by Super 103453 with 102940 at 2,1,3
% 41.47/10.73 Id : 256, {_}: divide (divide (inverse (multiply (divide (divide ?1228 ?1228) ?1229) ?1230)) ?1231) (divide ?1229 ?1231) =>= inverse ?1230 [1231, 1230, 1229, 1228] by Super 202 with 3 at 1,1,1,2
% 41.47/10.73 Id : 957, {_}: divide (divide (inverse (multiply (divide (multiply (inverse ?4834) ?4834) ?4835) ?4836)) ?4837) (divide ?4835 ?4837) =>= inverse ?4836 [4837, 4836, 4835, 4834] by Super 256 with 3 at 1,1,1,1,1,2
% 41.47/10.73 Id : 976, {_}: divide (divide (inverse (multiply (multiply (multiply (inverse ?4977) ?4977) ?4978) ?4979)) ?4980) (divide (inverse ?4978) ?4980) =>= inverse ?4979 [4980, 4979, 4978, 4977] by Super 957 with 3 at 1,1,1,1,2
% 41.47/10.73 Id : 4313, {_}: divide (divide ?24013 ?24014) (divide (divide (inverse (multiply (multiply (multiply (inverse ?24015) ?24015) ?24016) ?24017)) ?24018) ?24014) =>= divide (divide ?24013 (divide (inverse ?24016) ?24018)) (inverse ?24017) [24018, 24017, 24016, 24015, 24014, 24013] by Super 1292 with 976 at 2,3
% 41.47/10.73 Id : 4368, {_}: divide (divide ?24013 ?24014) (divide (divide (inverse (multiply (multiply (multiply (inverse ?24015) ?24015) ?24016) ?24017)) ?24018) ?24014) =>= multiply (divide ?24013 (divide (inverse ?24016) ?24018)) ?24017 [24018, 24017, 24016, 24015, 24014, 24013] by Demod 4313 with 3 at 3
% 41.47/10.73 Id : 268, {_}: divide (divide (inverse (multiply (multiply (divide ?1310 ?1310) ?1311) ?1312)) ?1313) (divide (inverse ?1311) ?1313) =>= inverse ?1312 [1313, 1312, 1311, 1310] by Super 256 with 3 at 1,1,1,1,2
% 41.47/10.73 Id : 3054, {_}: inverse (divide (divide (multiply (inverse ?16731) ?16731) (inverse ?16732)) (inverse ?16733)) =?= inverse (multiply (multiply (divide ?16734 ?16734) ?16732) ?16733) [16734, 16733, 16732, 16731] by Super 2998 with 268 at 2,1,2
% 41.47/10.73 Id : 3097, {_}: inverse (multiply (divide (multiply (inverse ?16731) ?16731) (inverse ?16732)) ?16733) =?= inverse (multiply (multiply (divide ?16734 ?16734) ?16732) ?16733) [16734, 16733, 16732, 16731] by Demod 3054 with 3 at 1,2
% 41.47/10.73 Id : 3098, {_}: inverse (multiply (multiply (multiply (inverse ?16731) ?16731) ?16732) ?16733) =?= inverse (multiply (multiply (divide ?16734 ?16734) ?16732) ?16733) [16734, 16733, 16732, 16731] by Demod 3097 with 3 at 1,1,2
% 41.47/10.73 Id : 100546, {_}: inverse (multiply (multiply (multiply (inverse ?16731) ?16731) ?16732) ?16733) =>= inverse (multiply (inverse (inverse ?16732)) ?16733) [16733, 16732, 16731] by Demod 3098 with 100489 at 1,1,3
% 41.47/10.73 Id : 100560, {_}: divide (divide ?24013 ?24014) (divide (divide (inverse (multiply (inverse (inverse ?24016)) ?24017)) ?24018) ?24014) =>= multiply (divide ?24013 (divide (inverse ?24016) ?24018)) ?24017 [24018, 24017, 24016, 24014, 24013] by Demod 4368 with 100546 at 1,1,2,2
% 41.47/10.73 Id : 101369, {_}: divide (divide ?24013 ?24014) (divide (divide (inverse (multiply ?24016 ?24017)) ?24018) ?24014) =>= multiply (divide ?24013 (divide (inverse ?24016) ?24018)) ?24017 [24018, 24017, 24016, 24014, 24013] by Demod 100560 with 101328 at 1,1,1,1,2,2
% 41.47/10.73 Id : 102444, {_}: divide ?24013 (divide (inverse (multiply ?24016 ?24017)) ?24018) =>= multiply (divide ?24013 (divide (inverse ?24016) ?24018)) ?24017 [24018, 24017, 24016, 24013] by Demod 101369 with 102436 at 2
% 41.47/10.73 Id : 102959, {_}: inverse (divide ?539790 ?539791) =>= divide ?539791 ?539790 [539791, 539790] by Demod 102775 with 102473 at 3
% 41.47/10.73 Id : 102978, {_}: inverse (multiply ?539875 ?539876) =<= divide (inverse ?539876) ?539875 [539876, 539875] by Super 102959 with 3 at 1,2
% 41.47/10.73 Id : 103046, {_}: divide ?24013 (inverse (multiply ?24018 (multiply ?24016 ?24017))) =>= multiply (divide ?24013 (divide (inverse ?24016) ?24018)) ?24017 [24017, 24016, 24018, 24013] by Demod 102444 with 102978 at 2,2
% 41.47/10.73 Id : 103047, {_}: divide ?24013 (inverse (multiply ?24018 (multiply ?24016 ?24017))) =>= multiply (divide ?24013 (inverse (multiply ?24018 ?24016))) ?24017 [24017, 24016, 24018, 24013] by Demod 103046 with 102978 at 2,1,3
% 41.47/10.73 Id : 103067, {_}: multiply ?24013 (multiply ?24018 (multiply ?24016 ?24017)) =<= multiply (divide ?24013 (inverse (multiply ?24018 ?24016))) ?24017 [24017, 24016, 24018, 24013] by Demod 103047 with 3 at 2
% 41.47/10.73 Id : 103068, {_}: multiply ?24013 (multiply ?24018 (multiply ?24016 ?24017)) =<= multiply (multiply ?24013 (multiply ?24018 ?24016)) ?24017 [24017, 24016, 24018, 24013] by Demod 103067 with 3 at 1,3
% 41.47/10.73 Id : 103588, {_}: divide (multiply ?540648 ?540649) ?540650 =<= multiply ?540648 (multiply (divide ?540649 ?540650) (multiply (divide ?540651 ?540652) (divide ?540652 ?540651))) [540652, 540651, 540650, 540649, 540648] by Demod 103486 with 103068 at 3
% 41.47/10.73 Id : 103450, {_}: multiply (divide ?11774 ?11775) (divide ?11775 ?11776) =>= divide ?11774 ?11776 [11776, 11775, 11774] by Demod 102436 with 102940 at 2
% 41.47/10.73 Id : 103589, {_}: divide (multiply ?540648 ?540649) ?540650 =<= multiply ?540648 (multiply (divide ?540649 ?540650) (divide ?540651 ?540651)) [540651, 540650, 540649, 540648] by Demod 103588 with 103450 at 2,2,3
% 41.47/10.73 Id : 93587, {_}: multiply (inverse (divide ?504068 ?504070)) ?504068 =>= ?504070 [504070, 504068] by Demod 92186 with 93111 at 2,2
% 41.47/10.73 Id : 95434, {_}: multiply ?517965 (divide ?517966 ?517966) =>= ?517965 [517966, 517965] by Super 93587 with 93886 at 1,2
% 41.47/10.73 Id : 103590, {_}: divide (multiply ?540648 ?540649) ?540650 =>= multiply ?540648 (divide ?540649 ?540650) [540650, 540649, 540648] by Demod 103589 with 95434 at 2,3
% 41.47/10.73 Id : 103689, {_}: multiply (multiply ?541001 ?541002) ?541003 =<= multiply ?541001 (divide ?541002 (inverse ?541003)) [541003, 541002, 541001] by Super 3 with 103590 at 3
% 41.47/10.73 Id : 103761, {_}: multiply (multiply ?541001 ?541002) ?541003 =>= multiply ?541001 (multiply ?541002 ?541003) [541003, 541002, 541001] by Demod 103689 with 3 at 2,3
% 41.47/10.73 Id : 103973, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 103761 at 2
% 41.47/10.73 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 41.47/10.73 % SZS output end CNFRefutation for theBenchmark.p
% 41.47/10.73 4022: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 10.379086 using kbo
%------------------------------------------------------------------------------