TSTP Solution File: GRP410-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP410-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : 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 10:30:11 EDT 2022
% Result : Unsatisfiable 8.58s 2.48s
% Output : CNFRefutation 8.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP410-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 04:55:41 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 25188: Facts:
% 0.14/0.35 25188: Id : 2, {_}:
% 0.14/0.35 multiply
% 0.14/0.35 (multiply (inverse (multiply ?2 (inverse (multiply ?3 ?4))))
% 0.14/0.35 (multiply ?2 (inverse ?4))) (inverse (multiply (inverse ?4) ?4))
% 0.14/0.35 =>=
% 0.14/0.35 ?3
% 0.14/0.35 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.14/0.35 25188: Goal:
% 0.14/0.35 25188: Id : 1, {_}:
% 0.14/0.35 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.14/0.35 [] by prove_these_axioms_2
% 8.58/2.48 Statistics :
% 8.58/2.48 Max weight : 68
% 8.58/2.48 Found proof, 2.122933s
% 8.58/2.48 % SZS status Unsatisfiable for theBenchmark.p
% 8.58/2.48 % SZS output start CNFRefutation for theBenchmark.p
% 8.58/2.48 Id : 3, {_}: multiply (multiply (inverse (multiply ?6 (inverse (multiply ?7 ?8)))) (multiply ?6 (inverse ?8))) (inverse (multiply (inverse ?8) ?8)) =>= ?7 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 8.58/2.48 Id : 2, {_}: multiply (multiply (inverse (multiply ?2 (inverse (multiply ?3 ?4)))) (multiply ?2 (inverse ?4))) (inverse (multiply (inverse ?4) ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 8.58/2.48 Id : 5, {_}: multiply (multiply (inverse (multiply ?15 (inverse ?16))) (multiply ?15 (inverse (inverse (multiply (inverse ?17) ?17))))) (inverse (multiply (inverse (inverse (multiply (inverse ?17) ?17))) (inverse (multiply (inverse ?17) ?17)))) =?= multiply (inverse (multiply ?18 (inverse (multiply ?16 ?17)))) (multiply ?18 (inverse ?17)) [18, 17, 16, 15] by Super 3 with 2 at 1,2,1,1,1,2
% 8.58/2.48 Id : 106, {_}: multiply (inverse (multiply ?503 (inverse (multiply (multiply ?504 (inverse (multiply (inverse ?505) ?505))) ?505)))) (multiply ?503 (inverse ?505)) =>= ?504 [505, 504, 503] by Super 2 with 5 at 2
% 8.58/2.48 Id : 162, {_}: multiply (multiply (inverse (multiply ?822 (inverse ?823))) (multiply ?822 (inverse (multiply ?824 (inverse ?825))))) (inverse (multiply (inverse (multiply ?824 (inverse ?825))) (multiply ?824 (inverse ?825)))) =>= inverse (multiply ?824 (inverse (multiply (multiply ?823 (inverse (multiply (inverse ?825) ?825))) ?825))) [825, 824, 823, 822] by Super 2 with 106 at 1,2,1,1,1,2
% 8.58/2.48 Id : 220, {_}: multiply (inverse (multiply ?1090 (inverse (multiply (inverse (multiply ?1091 (inverse (multiply (multiply ?1092 (inverse (multiply (inverse ?1093) ?1093))) ?1093)))) (multiply ?1091 (inverse ?1093)))))) (multiply ?1090 (inverse (multiply ?1091 (inverse ?1093)))) =?= multiply (inverse (multiply ?1094 (inverse ?1092))) (multiply ?1094 (inverse (multiply ?1091 (inverse ?1093)))) [1094, 1093, 1092, 1091, 1090] by Super 106 with 162 at 1,1,2,1,1,2
% 8.58/2.48 Id : 710, {_}: multiply (inverse (multiply ?2741 (inverse ?2742))) (multiply ?2741 (inverse (multiply ?2743 (inverse ?2744)))) =?= multiply (inverse (multiply ?2745 (inverse ?2742))) (multiply ?2745 (inverse (multiply ?2743 (inverse ?2744)))) [2745, 2744, 2743, 2742, 2741] by Demod 220 with 106 at 1,2,1,1,2
% 8.58/2.48 Id : 212, {_}: inverse (multiply ?1046 (inverse (multiply (multiply (multiply ?1047 (multiply ?1046 (inverse ?1048))) (inverse (multiply (inverse ?1048) ?1048))) ?1048))) =>= ?1047 [1048, 1047, 1046] by Super 2 with 162 at 2
% 8.58/2.48 Id : 719, {_}: multiply (inverse (multiply ?2807 (inverse ?2808))) (multiply ?2807 (inverse (multiply ?2809 (inverse (multiply (multiply (multiply ?2810 (multiply ?2809 (inverse ?2811))) (inverse (multiply (inverse ?2811) ?2811))) ?2811))))) =?= multiply (inverse (multiply ?2812 (inverse ?2808))) (multiply ?2812 ?2810) [2812, 2811, 2810, 2809, 2808, 2807] by Super 710 with 212 at 2,2,3
% 8.58/2.48 Id : 871, {_}: multiply (inverse (multiply ?3477 (inverse ?3478))) (multiply ?3477 ?3479) =?= multiply (inverse (multiply ?3480 (inverse ?3478))) (multiply ?3480 ?3479) [3480, 3479, 3478, 3477] by Demod 719 with 212 at 2,2,2
% 8.58/2.48 Id : 883, {_}: multiply (inverse (multiply ?3554 (inverse (multiply ?3555 (inverse (multiply (multiply (multiply ?3556 (multiply ?3555 (inverse ?3557))) (inverse (multiply (inverse ?3557) ?3557))) ?3557)))))) (multiply ?3554 ?3558) =?= multiply (inverse (multiply ?3559 ?3556)) (multiply ?3559 ?3558) [3559, 3558, 3557, 3556, 3555, 3554] by Super 871 with 212 at 2,1,1,3
% 8.58/2.48 Id : 934, {_}: multiply (inverse (multiply ?3554 ?3556)) (multiply ?3554 ?3558) =?= multiply (inverse (multiply ?3559 ?3556)) (multiply ?3559 ?3558) [3559, 3558, 3556, 3554] by Demod 883 with 212 at 2,1,1,2
% 8.58/2.48 Id : 942, {_}: multiply (inverse (multiply ?3802 (inverse (multiply (multiply ?3803 (inverse (multiply (inverse (multiply ?3804 ?3805)) (multiply ?3804 ?3805)))) (multiply ?3806 ?3805))))) (multiply ?3802 (inverse (multiply ?3806 ?3805))) =>= ?3803 [3806, 3805, 3804, 3803, 3802] by Super 106 with 934 at 1,2,1,1,2,1,1,2
% 8.58/2.48 Id : 2535, {_}: multiply ?10465 (inverse (multiply (inverse (multiply ?10466 ?10467)) (multiply ?10466 ?10467))) =?= multiply ?10465 (inverse (multiply (inverse (multiply ?10468 ?10467)) (multiply ?10468 ?10467))) [10468, 10467, 10466, 10465] by Super 2 with 942 at 1,2
% 8.58/2.48 Id : 6, {_}: multiply (multiply (inverse ?20) (multiply (multiply (inverse (multiply ?21 (inverse (multiply ?20 ?22)))) (multiply ?21 (inverse ?22))) (inverse ?22))) (inverse (multiply (inverse ?22) ?22)) =>= inverse ?22 [22, 21, 20] by Super 3 with 2 at 1,1,1,2
% 8.58/2.48 Id : 2539, {_}: multiply ?10490 (inverse (multiply (inverse (multiply ?10491 (inverse (multiply (inverse ?10492) ?10492)))) (multiply ?10491 (inverse (multiply (inverse ?10492) ?10492))))) =?= multiply ?10490 (inverse (multiply (inverse (multiply (multiply (inverse ?10493) (multiply (multiply (inverse (multiply ?10494 (inverse (multiply ?10493 ?10492)))) (multiply ?10494 (inverse ?10492))) (inverse ?10492))) (inverse (multiply (inverse ?10492) ?10492)))) (inverse ?10492))) [10494, 10493, 10492, 10491, 10490] by Super 2535 with 6 at 2,1,2,3
% 8.58/2.48 Id : 2780, {_}: multiply ?11585 (inverse (multiply (inverse (multiply ?11586 (inverse (multiply (inverse ?11587) ?11587)))) (multiply ?11586 (inverse (multiply (inverse ?11587) ?11587))))) =>= multiply ?11585 (inverse (multiply (inverse (inverse ?11587)) (inverse ?11587))) [11587, 11586, 11585] by Demod 2539 with 6 at 1,1,1,2,3
% 8.58/2.48 Id : 2792, {_}: multiply ?11660 (inverse (multiply (inverse (multiply (multiply (inverse (multiply ?11661 (inverse (multiply ?11662 ?11663)))) (multiply ?11661 (inverse ?11663))) (inverse (multiply (inverse ?11663) ?11663)))) ?11662)) =>= multiply ?11660 (inverse (multiply (inverse (inverse ?11663)) (inverse ?11663))) [11663, 11662, 11661, 11660] by Super 2780 with 2 at 2,1,2,2
% 8.58/2.48 Id : 3187, {_}: multiply ?12923 (inverse (multiply (inverse ?12924) ?12924)) =?= multiply ?12923 (inverse (multiply (inverse (inverse ?12925)) (inverse ?12925))) [12925, 12924, 12923] by Demod 2792 with 2 at 1,1,1,2,2
% 8.58/2.48 Id : 2974, {_}: multiply ?11660 (inverse (multiply (inverse ?11662) ?11662)) =?= multiply ?11660 (inverse (multiply (inverse (inverse ?11663)) (inverse ?11663))) [11663, 11662, 11660] by Demod 2792 with 2 at 1,1,1,2,2
% 8.58/2.48 Id : 3207, {_}: multiply ?13043 (inverse (multiply (inverse ?13044) ?13044)) =?= multiply ?13043 (inverse (multiply (inverse ?13045) ?13045)) [13045, 13044, 13043] by Super 3187 with 2974 at 3
% 8.58/2.48 Id : 3304, {_}: multiply (inverse (multiply ?13505 (inverse (multiply (multiply ?13506 (inverse (multiply (inverse ?13507) ?13507))) ?13508)))) (multiply ?13505 (inverse ?13508)) =>= ?13506 [13508, 13507, 13506, 13505] by Super 106 with 3207 at 1,1,2,1,1,2
% 8.58/2.48 Id : 3346, {_}: multiply (multiply (inverse (multiply ?13709 (inverse (multiply ?13710 ?13711)))) (multiply ?13709 (inverse ?13711))) (inverse (multiply (inverse ?13712) ?13712)) =>= ?13710 [13712, 13711, 13710, 13709] by Super 2 with 3207 at 2
% 8.58/2.48 Id : 5553, {_}: multiply (multiply (inverse ?20894) ?20894) (inverse (multiply (inverse (multiply (inverse ?20895) ?20895)) (multiply (inverse ?20895) ?20895))) =>= inverse (multiply (inverse ?20895) ?20895) [20895, 20894] by Super 6 with 3346 at 2,1,2
% 8.58/2.48 Id : 992, {_}: multiply (multiply (inverse (multiply ?4088 (inverse ?4089))) (multiply ?4088 (inverse (multiply ?4090 (inverse ?4091))))) (inverse (multiply (inverse (multiply ?4092 (inverse ?4091))) (multiply ?4092 (inverse ?4091)))) =>= inverse (multiply ?4090 (inverse (multiply (multiply ?4089 (inverse (multiply (inverse ?4091) ?4091))) ?4091))) [4092, 4091, 4090, 4089, 4088] by Super 162 with 934 at 1,2,2
% 8.58/2.48 Id : 5603, {_}: inverse (multiply ?21134 (inverse (multiply (multiply (multiply ?21134 (inverse ?21135)) (inverse (multiply (inverse ?21135) ?21135))) ?21135))) =>= inverse (multiply (inverse (inverse ?21135)) (inverse ?21135)) [21135, 21134] by Super 5553 with 992 at 2
% 8.58/2.48 Id : 11708, {_}: multiply (inverse (multiply (inverse (inverse ?39715)) (inverse ?39715))) (multiply ?39716 (inverse ?39715)) =>= multiply ?39716 (inverse ?39715) [39716, 39715] by Super 3304 with 5603 at 1,2
% 8.58/2.48 Id : 3296, {_}: inverse (multiply ?13465 (inverse (multiply (multiply (multiply ?13466 (multiply ?13465 (inverse ?13467))) (inverse (multiply (inverse ?13468) ?13468))) ?13467))) =>= ?13466 [13468, 13467, 13466, 13465] by Super 212 with 3207 at 1,1,2,1,2
% 8.58/2.48 Id : 11710, {_}: multiply (inverse (multiply (inverse (inverse (multiply ?39724 (inverse (multiply (multiply (multiply ?39725 (multiply ?39724 (inverse ?39726))) (inverse (multiply (inverse ?39727) ?39727))) ?39726))))) (inverse (multiply ?39724 (inverse (multiply (multiply (multiply ?39725 (multiply ?39724 (inverse ?39726))) (inverse (multiply (inverse ?39727) ?39727))) ?39726)))))) (multiply ?39728 ?39725) =>= multiply ?39728 (inverse (multiply ?39724 (inverse (multiply (multiply (multiply ?39725 (multiply ?39724 (inverse ?39726))) (inverse (multiply (inverse ?39727) ?39727))) ?39726)))) [39728, 39727, 39726, 39725, 39724] by Super 11708 with 3296 at 2,2,2
% 8.58/2.48 Id : 11858, {_}: multiply (inverse (multiply (inverse ?39725) (inverse (multiply ?39724 (inverse (multiply (multiply (multiply ?39725 (multiply ?39724 (inverse ?39726))) (inverse (multiply (inverse ?39727) ?39727))) ?39726)))))) (multiply ?39728 ?39725) =>= multiply ?39728 (inverse (multiply ?39724 (inverse (multiply (multiply (multiply ?39725 (multiply ?39724 (inverse ?39726))) (inverse (multiply (inverse ?39727) ?39727))) ?39726)))) [39728, 39727, 39726, 39724, 39725] by Demod 11710 with 3296 at 1,1,1,1,2
% 8.58/2.48 Id : 11859, {_}: multiply (inverse (multiply (inverse ?39725) ?39725)) (multiply ?39728 ?39725) =?= multiply ?39728 (inverse (multiply ?39724 (inverse (multiply (multiply (multiply ?39725 (multiply ?39724 (inverse ?39726))) (inverse (multiply (inverse ?39727) ?39727))) ?39726)))) [39727, 39726, 39724, 39728, 39725] by Demod 11858 with 3296 at 2,1,1,2
% 8.58/2.48 Id : 12148, {_}: multiply (inverse (multiply (inverse ?40602) ?40602)) (multiply ?40603 ?40602) =>= multiply ?40603 ?40602 [40603, 40602] by Demod 11859 with 3296 at 2,3
% 8.58/2.48 Id : 4, {_}: multiply (multiply (inverse (multiply (multiply (inverse (multiply ?10 (inverse (multiply ?11 ?12)))) (multiply ?10 (inverse ?12))) (inverse (multiply ?13 (multiply (inverse ?12) ?12))))) ?11) (inverse (multiply (inverse (multiply (inverse ?12) ?12)) (multiply (inverse ?12) ?12))) =>= ?13 [13, 12, 11, 10] by Super 3 with 2 at 2,1,2
% 8.58/2.48 Id : 4078, {_}: multiply (multiply (inverse ?17169) ?17169) (inverse (multiply (inverse (multiply (inverse ?17170) ?17170)) (multiply (inverse ?17170) ?17170))) =>= inverse (multiply (inverse ?17170) ?17170) [17170, 17169] by Super 6 with 3346 at 2,1,2
% 8.58/2.48 Id : 5506, {_}: inverse (multiply ?20679 (inverse (multiply (inverse (multiply (inverse ?20680) ?20680)) ?20681))) =>= inverse (multiply ?20679 (inverse ?20681)) [20681, 20680, 20679] by Super 3296 with 4078 at 1,1,2,1,2
% 8.58/2.48 Id : 5717, {_}: multiply (multiply (inverse (multiply (multiply (inverse (multiply ?21423 (inverse (multiply ?21424 ?21425)))) (multiply ?21423 (inverse ?21425))) (inverse (multiply (inverse ?21425) ?21425)))) ?21424) (inverse (multiply (inverse (multiply (inverse ?21425) ?21425)) (multiply (inverse ?21425) ?21425))) =?= inverse (multiply (inverse ?21426) ?21426) [21426, 21425, 21424, 21423] by Super 4 with 5506 at 1,1,2
% 8.58/2.48 Id : 5934, {_}: multiply (multiply (inverse ?21424) ?21424) (inverse (multiply (inverse (multiply (inverse ?21425) ?21425)) (multiply (inverse ?21425) ?21425))) =?= inverse (multiply (inverse ?21426) ?21426) [21426, 21425, 21424] by Demod 5717 with 3346 at 1,1,1,2
% 8.58/2.48 Id : 5935, {_}: inverse (multiply (inverse ?21425) ?21425) =?= inverse (multiply (inverse ?21426) ?21426) [21426, 21425] by Demod 5934 with 4078 at 2
% 8.58/2.48 Id : 12595, {_}: multiply (inverse (multiply (inverse ?41987) ?41987)) (multiply ?41988 ?41989) =>= multiply ?41988 ?41989 [41989, 41988, 41987] by Super 12148 with 5935 at 1,2
% 8.58/2.48 Id : 12603, {_}: multiply (inverse (multiply (inverse ?42030) ?42030)) ?42031 =?= multiply (inverse (multiply ?42032 (inverse (multiply (multiply ?42031 (inverse (multiply (inverse ?42033) ?42033))) ?42034)))) (multiply ?42032 (inverse ?42034)) [42034, 42033, 42032, 42031, 42030] by Super 12595 with 3304 at 2,2
% 8.58/2.48 Id : 12730, {_}: multiply (inverse (multiply (inverse ?42030) ?42030)) ?42031 =>= ?42031 [42031, 42030] by Demod 12603 with 3304 at 3
% 8.58/2.48 Id : 12774, {_}: inverse (multiply (inverse (multiply (inverse ?42435) ?42435)) (inverse (multiply (multiply (inverse ?42436) (inverse (multiply (inverse ?42436) ?42436))) ?42436))) =>= inverse (multiply (inverse (inverse ?42436)) (inverse ?42436)) [42436, 42435] by Super 5603 with 12730 at 1,1,1,2,1,2
% 8.58/2.48 Id : 13262, {_}: inverse (inverse (multiply (multiply (inverse ?43770) (inverse (multiply (inverse ?43770) ?43770))) ?43770)) =>= inverse (multiply (inverse (inverse ?43770)) (inverse ?43770)) [43770] by Demod 12774 with 12730 at 1,2
% 8.58/2.48 Id : 13267, {_}: inverse (inverse (multiply (multiply (inverse (multiply (inverse ?43787) ?43787)) (inverse (multiply (inverse (multiply (inverse ?43788) ?43788)) (multiply (inverse ?43787) ?43787)))) (multiply (inverse ?43787) ?43787))) =>= inverse (multiply (inverse (inverse (multiply (inverse ?43787) ?43787))) (inverse (multiply (inverse ?43787) ?43787))) [43788, 43787] by Super 13262 with 5935 at 1,1,2,1,1,1,2
% 8.58/2.48 Id : 13616, {_}: inverse (inverse (multiply (inverse (multiply (inverse (multiply (inverse ?43788) ?43788)) (multiply (inverse ?43787) ?43787))) (multiply (inverse ?43787) ?43787))) =>= inverse (multiply (inverse (inverse (multiply (inverse ?43787) ?43787))) (inverse (multiply (inverse ?43787) ?43787))) [43787, 43788] by Demod 13267 with 12730 at 1,1,1,2
% 8.58/2.48 Id : 13617, {_}: inverse (inverse (multiply (inverse (multiply (inverse ?43787) ?43787)) (multiply (inverse ?43787) ?43787))) =<= inverse (multiply (inverse (inverse (multiply (inverse ?43787) ?43787))) (inverse (multiply (inverse ?43787) ?43787))) [43787] by Demod 13616 with 12730 at 1,1,1,1,2
% 8.58/2.48 Id : 12667, {_}: multiply (inverse (multiply ?42381 ?42382)) (multiply ?42381 ?42383) =>= multiply (inverse ?42382) ?42383 [42383, 42382, 42381] by Super 12595 with 934 at 2
% 8.58/2.48 Id : 14407, {_}: inverse (inverse (multiply (inverse ?45219) ?45219)) =<= inverse (multiply (inverse (inverse (multiply (inverse ?45219) ?45219))) (inverse (multiply (inverse ?45219) ?45219))) [45219] by Demod 13617 with 12667 at 1,1,2
% 8.58/2.48 Id : 14425, {_}: inverse (inverse (multiply (inverse (multiply (inverse ?45279) ?45279)) (multiply (inverse ?45279) ?45279))) =<= inverse (multiply (inverse (inverse (multiply (inverse (multiply (inverse ?45279) ?45279)) (multiply (inverse ?45279) ?45279)))) (inverse (multiply (inverse ?45279) ?45279))) [45279] by Super 14407 with 12730 at 1,2,1,3
% 8.58/2.48 Id : 14716, {_}: inverse (inverse (multiply (inverse ?45279) ?45279)) =<= inverse (multiply (inverse (inverse (multiply (inverse (multiply (inverse ?45279) ?45279)) (multiply (inverse ?45279) ?45279)))) (inverse (multiply (inverse ?45279) ?45279))) [45279] by Demod 14425 with 12667 at 1,1,2
% 8.58/2.48 Id : 13044, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (multiply (inverse (inverse (multiply (inverse ?17) ?17))) (inverse (multiply (inverse ?17) ?17)))) =?= multiply (inverse (multiply ?18 (inverse (multiply ?16 ?17)))) (multiply ?18 (inverse ?17)) [18, 17, 16] by Demod 5 with 12667 at 1,2
% 8.58/2.48 Id : 13045, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (multiply (inverse (inverse (multiply (inverse ?17) ?17))) (inverse (multiply (inverse ?17) ?17)))) =>= multiply (inverse (inverse (multiply ?16 ?17))) (inverse ?17) [17, 16] by Demod 13044 with 12667 at 3
% 8.58/2.48 Id : 13060, {_}: multiply (multiply (inverse (inverse ?43162)) (inverse (inverse (multiply (inverse (multiply ?43163 ?43164)) (multiply ?43163 ?43164))))) (inverse (multiply (inverse (inverse (multiply (inverse (multiply ?43163 ?43164)) (multiply ?43163 ?43164)))) (inverse (multiply (inverse ?43164) ?43164)))) =>= multiply (inverse (inverse (multiply ?43162 (multiply ?43163 ?43164)))) (inverse (multiply ?43163 ?43164)) [43164, 43163, 43162] by Super 13045 with 12667 at 1,2,1,2,2
% 8.58/2.48 Id : 13159, {_}: multiply (multiply (inverse (inverse ?43162)) (inverse (inverse (multiply (inverse ?43164) ?43164)))) (inverse (multiply (inverse (inverse (multiply (inverse (multiply ?43163 ?43164)) (multiply ?43163 ?43164)))) (inverse (multiply (inverse ?43164) ?43164)))) =>= multiply (inverse (inverse (multiply ?43162 (multiply ?43163 ?43164)))) (inverse (multiply ?43163 ?43164)) [43163, 43164, 43162] by Demod 13060 with 12667 at 1,1,2,1,2
% 8.58/2.48 Id : 13160, {_}: multiply (multiply (inverse (inverse ?43162)) (inverse (inverse (multiply (inverse ?43164) ?43164)))) (inverse (multiply (inverse (inverse (multiply (inverse ?43164) ?43164))) (inverse (multiply (inverse ?43164) ?43164)))) =?= multiply (inverse (inverse (multiply ?43162 (multiply ?43163 ?43164)))) (inverse (multiply ?43163 ?43164)) [43163, 43164, 43162] by Demod 13159 with 12667 at 1,1,1,1,2,2
% 8.58/2.48 Id : 13161, {_}: multiply (inverse (inverse (multiply ?43162 ?43164))) (inverse ?43164) =<= multiply (inverse (inverse (multiply ?43162 (multiply ?43163 ?43164)))) (inverse (multiply ?43163 ?43164)) [43163, 43164, 43162] by Demod 13160 with 13045 at 2
% 8.58/2.48 Id : 14717, {_}: inverse (inverse (multiply (inverse ?45279) ?45279)) =<= inverse (multiply (inverse (inverse (multiply (inverse (multiply (inverse ?45279) ?45279)) ?45279))) (inverse ?45279)) [45279] by Demod 14716 with 13161 at 1,3
% 8.58/2.48 Id : 14718, {_}: inverse (inverse (multiply (inverse ?45279) ?45279)) =<= inverse (multiply (inverse (inverse ?45279)) (inverse ?45279)) [45279] by Demod 14717 with 12730 at 1,1,1,1,3
% 8.58/2.48 Id : 14885, {_}: multiply (inverse (inverse (multiply (inverse ?45678) ?45678))) ?45679 =>= ?45679 [45679, 45678] by Super 12730 with 14718 at 1,2
% 8.58/2.48 Id : 13618, {_}: inverse (inverse (multiply (inverse ?43787) ?43787)) =<= inverse (multiply (inverse (inverse (multiply (inverse ?43787) ?43787))) (inverse (multiply (inverse ?43787) ?43787))) [43787] by Demod 13617 with 12667 at 1,1,2
% 8.58/2.48 Id : 14309, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (inverse (multiply (inverse ?17) ?17))) =>= multiply (inverse (inverse (multiply ?16 ?17))) (inverse ?17) [17, 16] by Demod 13045 with 13618 at 2,2
% 8.58/2.48 Id : 13041, {_}: multiply (inverse (inverse (multiply (multiply ?13506 (inverse (multiply (inverse ?13507) ?13507))) ?13508))) (inverse ?13508) =>= ?13506 [13508, 13507, 13506] by Demod 3304 with 12667 at 2
% 8.58/2.48 Id : 13052, {_}: multiply (multiply (inverse (inverse (multiply ?13710 ?13711))) (inverse ?13711)) (inverse (multiply (inverse ?13712) ?13712)) =>= ?13710 [13712, 13711, 13710] by Demod 3346 with 12667 at 1,2
% 8.58/2.48 Id : 15513, {_}: multiply (inverse ?46577) (inverse (multiply (inverse ?46578) ?46578)) =>= inverse ?46577 [46578, 46577] by Super 13052 with 14885 at 1,2
% 8.58/2.48 Id : 15543, {_}: multiply ?46695 (inverse (multiply (inverse ?46696) ?46696)) =?= inverse (multiply ?46697 (inverse (multiply (multiply (multiply ?46695 (multiply ?46697 (inverse ?46698))) (inverse (multiply (inverse ?46699) ?46699))) ?46698))) [46699, 46698, 46697, 46696, 46695] by Super 15513 with 3296 at 1,2
% 8.58/2.48 Id : 15659, {_}: multiply ?46695 (inverse (multiply (inverse ?46696) ?46696)) =>= ?46695 [46696, 46695] by Demod 15543 with 3296 at 3
% 8.58/2.48 Id : 16315, {_}: multiply (inverse (inverse (multiply ?13506 ?13508))) (inverse ?13508) =>= ?13506 [13508, 13506] by Demod 13041 with 15659 at 1,1,1,1,2
% 8.58/2.48 Id : 16321, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (inverse (multiply (inverse ?17) ?17))) =>= ?16 [17, 16] by Demod 14309 with 16315 at 3
% 8.58/2.48 Id : 16355, {_}: multiply (inverse (multiply ?47202 ?47203)) ?47202 =?= multiply (inverse ?47203) (inverse (multiply (inverse ?47204) ?47204)) [47204, 47203, 47202] by Super 12667 with 15659 at 2,2
% 8.58/2.48 Id : 16499, {_}: multiply (inverse (multiply ?47462 ?47463)) ?47462 =>= inverse ?47463 [47463, 47462] by Demod 16355 with 15659 at 3
% 8.58/2.48 Id : 13046, {_}: multiply (multiply (inverse ?20) (multiply (multiply (inverse (inverse (multiply ?20 ?22))) (inverse ?22)) (inverse ?22))) (inverse (multiply (inverse ?22) ?22)) =>= inverse ?22 [22, 20] by Demod 6 with 12667 at 1,2,1,2
% 8.58/2.48 Id : 16313, {_}: multiply (inverse ?20) (multiply (multiply (inverse (inverse (multiply ?20 ?22))) (inverse ?22)) (inverse ?22)) =>= inverse ?22 [22, 20] by Demod 13046 with 15659 at 2
% 8.58/2.48 Id : 16322, {_}: multiply (inverse ?20) (multiply ?20 (inverse ?22)) =>= inverse ?22 [22, 20] by Demod 16313 with 16315 at 1,2,2
% 8.58/2.48 Id : 16510, {_}: multiply (inverse (inverse ?47499)) (inverse ?47500) =>= inverse (multiply ?47500 (inverse ?47499)) [47500, 47499] by Super 16499 with 16322 at 1,1,2
% 8.58/2.48 Id : 16545, {_}: multiply (inverse (multiply (inverse (multiply (inverse ?17) ?17)) (inverse ?16))) (inverse (inverse (multiply (inverse ?17) ?17))) =>= ?16 [16, 17] by Demod 16321 with 16510 at 1,2
% 8.58/2.48 Id : 16546, {_}: multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17))) =>= ?16 [17, 16] by Demod 16545 with 12730 at 1,1,2
% 8.58/2.48 Id : 16547, {_}: inverse (multiply (inverse (multiply (inverse ?17) ?17)) (inverse ?16)) =>= ?16 [16, 17] by Demod 16546 with 16510 at 2
% 8.58/2.48 Id : 16548, {_}: inverse (inverse ?16) =>= ?16 [16] by Demod 16547 with 12730 at 1,2
% 8.58/2.48 Id : 16553, {_}: multiply (multiply (inverse ?45678) ?45678) ?45679 =>= ?45679 [45679, 45678] by Demod 14885 with 16548 at 1,2
% 8.58/2.48 Id : 16671, {_}: a2 === a2 [] by Demod 1 with 16553 at 2
% 8.58/2.48 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 8.58/2.48 % SZS output end CNFRefutation for theBenchmark.p
% 8.58/2.48 25191: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 2.129447 using nrkbo
%------------------------------------------------------------------------------