TSTP Solution File: GRP731-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP731-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n032.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 10:31:48 EDT 2022
% Result : Unsatisfiable 9.23s 2.63s
% Output : CNFRefutation 9.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP731-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.11 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Mon Jun 13 11:44:11 EDT 2022
% 0.12/0.31 % CPUTime :
% 0.16/0.32 32717: Facts:
% 0.16/0.32 32717: Id : 2, {_}: mult unit ?2 =>= ?2 [2] by c01 ?2
% 0.16/0.32 32717: Id : 3, {_}: mult ?4 unit =>= ?4 [4] by c02 ?4
% 0.16/0.32 32717: Id : 4, {_}: mult ?6 (i ?6) =>= unit [6] by c03 ?6
% 0.16/0.32 32717: Id : 5, {_}: mult (i ?8) ?8 =>= unit [8] by c04 ?8
% 0.16/0.32 32717: Id : 6, {_}:
% 0.16/0.32 i (mult ?10 ?11) =<= mult (i ?10) (i ?11)
% 0.16/0.32 [11, 10] by c05 ?10 ?11
% 0.16/0.32 32717: Id : 7, {_}: mult (i ?13) (mult ?13 ?14) =>= ?14 [14, 13] by c06 ?13 ?14
% 0.16/0.32 32717: Id : 8, {_}: rd (mult ?16 ?17) ?17 =>= ?16 [17, 16] by c07 ?16 ?17
% 0.16/0.32 32717: Id : 9, {_}: mult (rd ?19 ?20) ?20 =>= ?19 [20, 19] by c08 ?19 ?20
% 0.16/0.32 32717: Id : 10, {_}:
% 0.16/0.32 mult (mult ?22 (mult ?23 ?22)) ?24
% 0.16/0.32 =?=
% 0.16/0.32 mult ?22 (mult ?23 (mult ?22 ?24))
% 0.16/0.32 [24, 23, 22] by c09 ?22 ?23 ?24
% 0.16/0.32 32717: Id : 11, {_}:
% 0.16/0.32 mult (mult ?26 ?27) ?28
% 0.16/0.32 =<=
% 0.16/0.32 mult (mult ?26 (mult ?27 ?28)) (asoc ?26 ?27 ?28)
% 0.16/0.32 [28, 27, 26] by c10 ?26 ?27 ?28
% 0.16/0.32 32717: Id : 12, {_}:
% 0.16/0.32 mult ?30 ?31 =<= mult (mult ?31 ?30) (op_k ?30 ?31)
% 0.16/0.32 [31, 30] by c11 ?30 ?31
% 0.16/0.32 32717: Id : 13, {_}:
% 0.16/0.32 op_l ?33 ?34 ?35
% 0.16/0.32 =<=
% 0.16/0.32 mult (i (mult ?35 ?34)) (mult ?35 (mult ?34 ?33))
% 0.16/0.32 [35, 34, 33] by c12 ?33 ?34 ?35
% 0.16/0.32 32717: Id : 14, {_}:
% 0.16/0.32 op_r ?37 ?38 ?39 =<= rd (mult (mult ?37 ?38) ?39) (mult ?38 ?39)
% 0.16/0.32 [39, 38, 37] by c13 ?37 ?38 ?39
% 0.16/0.32 32717: Id : 15, {_}:
% 0.16/0.32 op_t ?41 ?42 =<= mult (i ?42) (mult ?41 ?42)
% 0.16/0.32 [42, 41] by c14 ?41 ?42
% 0.16/0.32 32717: Id : 16, {_}:
% 0.16/0.32 op_r (op_r ?44 ?45 ?46) ?47 ?48 =?= op_r (op_r ?44 ?47 ?48) ?45 ?46
% 0.16/0.32 [48, 47, 46, 45, 44] by c15 ?44 ?45 ?46 ?47 ?48
% 0.16/0.32 32717: Id : 17, {_}:
% 0.16/0.32 op_l (op_r ?50 ?51 ?52) ?53 ?54 =>= op_r (op_l ?50 ?53 ?54) ?51 ?52
% 0.16/0.32 [54, 53, 52, 51, 50] by c16 ?50 ?51 ?52 ?53 ?54
% 0.16/0.32 32717: Id : 18, {_}:
% 0.16/0.32 op_l (op_l ?56 ?57 ?58) ?59 ?60 =?= op_l (op_l ?56 ?59 ?60) ?57 ?58
% 0.16/0.32 [60, 59, 58, 57, 56] by c17 ?56 ?57 ?58 ?59 ?60
% 0.16/0.32 32717: Id : 19, {_}:
% 0.16/0.32 op_t (op_r ?62 ?63 ?64) ?65 =<= op_r (op_t ?62 ?65) ?63 ?64
% 0.16/0.32 [65, 64, 63, 62] by c18 ?62 ?63 ?64 ?65
% 0.16/0.32 32717: Id : 20, {_}:
% 0.16/0.32 op_t (op_l ?67 ?68 ?69) ?70 =<= op_l (op_t ?67 ?70) ?68 ?69
% 0.16/0.32 [70, 69, 68, 67] by c19 ?67 ?68 ?69 ?70
% 0.16/0.32 32717: Id : 21, {_}:
% 0.16/0.32 op_t (op_t ?72 ?73) ?74 =?= op_t (op_t ?72 ?74) ?73
% 0.16/0.32 [74, 73, 72] by c20 ?72 ?73 ?74
% 0.16/0.32 32717: Id : 22, {_}:
% 0.16/0.32 asoc (asoc ?76 ?77 ?78) ?79 ?80 =>= unit
% 0.16/0.32 [80, 79, 78, 77, 76] by c21 ?76 ?77 ?78 ?79 ?80
% 0.16/0.32 32717: Id : 23, {_}:
% 0.16/0.32 asoc ?82 ?83 (asoc ?84 ?85 ?86) =>= unit
% 0.16/0.32 [86, 85, 84, 83, 82] by c22 ?82 ?83 ?84 ?85 ?86
% 0.16/0.32 32717: Goal:
% 0.16/0.32 32717: Id : 1, {_}: op_k (asoc a b c) d =>= unit [] by goals
% 9.23/2.63 Statistics :
% 9.23/2.63 Max weight : 26
% 9.23/2.63 Found proof, 2.314266s
% 9.23/2.63 % SZS status Unsatisfiable for theBenchmark.p
% 9.23/2.63 % SZS output start CNFRefutation for theBenchmark.p
% 9.23/2.63 Id : 8, {_}: rd (mult ?16 ?17) ?17 =>= ?16 [17, 16] by c07 ?16 ?17
% 9.23/2.63 Id : 262, {_}: op_r ?639 ?640 ?641 =<= rd (mult (mult ?639 ?640) ?641) (mult ?640 ?641) [641, 640, 639] by c13 ?639 ?640 ?641
% 9.23/2.63 Id : 22, {_}: asoc (asoc ?76 ?77 ?78) ?79 ?80 =>= unit [80, 79, 78, 77, 76] by c21 ?76 ?77 ?78 ?79 ?80
% 9.23/2.63 Id : 2, {_}: mult unit ?2 =>= ?2 [2] by c01 ?2
% 9.23/2.63 Id : 151, {_}: mult (mult ?340 ?341) ?342 =<= mult (mult ?340 (mult ?341 ?342)) (asoc ?340 ?341 ?342) [342, 341, 340] by c10 ?340 ?341 ?342
% 9.23/2.63 Id : 319, {_}: op_t ?814 ?815 =<= mult (i ?815) (mult ?814 ?815) [815, 814] by c14 ?814 ?815
% 9.23/2.63 Id : 15, {_}: op_t ?41 ?42 =<= mult (i ?42) (mult ?41 ?42) [42, 41] by c14 ?41 ?42
% 9.23/2.63 Id : 9, {_}: mult (rd ?19 ?20) ?20 =>= ?19 [20, 19] by c08 ?19 ?20
% 9.23/2.63 Id : 4, {_}: mult ?6 (i ?6) =>= unit [6] by c03 ?6
% 9.23/2.63 Id : 82, {_}: mult (mult ?200 (mult ?201 ?200)) ?202 =?= mult ?200 (mult ?201 (mult ?200 ?202)) [202, 201, 200] by c09 ?200 ?201 ?202
% 9.23/2.63 Id : 61, {_}: rd (mult ?141 ?142) ?142 =>= ?141 [142, 141] by c07 ?141 ?142
% 9.23/2.63 Id : 3, {_}: mult ?4 unit =>= ?4 [4] by c02 ?4
% 9.23/2.63 Id : 5, {_}: mult (i ?8) ?8 =>= unit [8] by c04 ?8
% 9.23/2.63 Id : 48, {_}: mult (i ?122) (mult ?122 ?123) =>= ?123 [123, 122] by c06 ?122 ?123
% 9.23/2.63 Id : 6, {_}: i (mult ?10 ?11) =<= mult (i ?10) (i ?11) [11, 10] by c05 ?10 ?11
% 9.23/2.63 Id : 12, {_}: mult ?30 ?31 =<= mult (mult ?31 ?30) (op_k ?30 ?31) [31, 30] by c11 ?30 ?31
% 9.23/2.63 Id : 10, {_}: mult (mult ?22 (mult ?23 ?22)) ?24 =?= mult ?22 (mult ?23 (mult ?22 ?24)) [24, 23, 22] by c09 ?22 ?23 ?24
% 9.23/2.63 Id : 7, {_}: mult (i ?13) (mult ?13 ?14) =>= ?14 [14, 13] by c06 ?13 ?14
% 9.23/2.63 Id : 181, {_}: mult (i (mult ?423 ?424)) (mult ?424 ?423) =>= op_k ?424 ?423 [424, 423] by Super 7 with 12 at 2,2
% 9.23/2.63 Id : 34340, {_}: mult (mult ?50780 (mult (i (mult ?50781 ?50780)) ?50780)) ?50781 =>= mult ?50780 (op_k ?50780 ?50781) [50781, 50780] by Super 10 with 181 at 2,3
% 9.23/2.63 Id : 52, {_}: mult (i (i ?131)) unit =>= ?131 [131] by Super 48 with 5 at 2,2
% 9.23/2.63 Id : 58, {_}: i (i ?131) =>= ?131 [131] by Demod 52 with 3 at 2
% 9.23/2.63 Id : 469, {_}: i (mult (i ?1215) ?1216) =>= mult ?1215 (i ?1216) [1216, 1215] by Super 6 with 58 at 1,3
% 9.23/2.63 Id : 66, {_}: rd ?152 (mult ?153 ?152) =>= i ?153 [153, 152] by Super 61 with 7 at 1,2
% 9.23/2.63 Id : 84, {_}: mult (mult ?207 (mult ?208 ?207)) (i ?207) =>= mult ?207 (mult ?208 unit) [208, 207] by Super 82 with 4 at 2,2,3
% 9.23/2.63 Id : 116, {_}: mult (mult ?207 (mult ?208 ?207)) (i ?207) =>= mult ?207 ?208 [208, 207] by Demod 84 with 3 at 2,3
% 9.23/2.63 Id : 17592, {_}: rd (i ?29919) (mult ?29919 ?29920) =<= i (mult ?29919 (mult ?29920 ?29919)) [29920, 29919] by Super 66 with 116 at 2,2
% 9.23/2.63 Id : 17992, {_}: rd (i (i ?30675)) (mult (i ?30675) ?30676) =>= mult ?30675 (i (mult ?30676 (i ?30675))) [30676, 30675] by Super 469 with 17592 at 2
% 9.23/2.63 Id : 2971, {_}: rd (i (mult ?5244 ?5245)) (i ?5245) =>= i ?5244 [5245, 5244] by Super 61 with 6 at 1,2
% 9.23/2.63 Id : 2986, {_}: rd (i ?5293) (i ?5294) =>= i (rd ?5293 ?5294) [5294, 5293] by Super 2971 with 9 at 1,1,2
% 9.23/2.63 Id : 1057, {_}: rd ?2198 (mult ?2199 ?2198) =>= i ?2199 [2199, 2198] by Super 61 with 7 at 1,2
% 9.23/2.63 Id : 1063, {_}: rd ?2212 ?2213 =<= i (rd ?2213 ?2212) [2213, 2212] by Super 1057 with 9 at 2,2
% 9.23/2.63 Id : 3084, {_}: rd (i ?5394) (i ?5395) =>= rd ?5395 ?5394 [5395, 5394] by Demod 2986 with 1063 at 3
% 9.23/2.63 Id : 468, {_}: i (mult ?1212 (i ?1213)) =>= mult (i ?1212) ?1213 [1213, 1212] by Super 6 with 58 at 2,3
% 9.23/2.63 Id : 3086, {_}: rd (i ?5400) (mult (i ?5401) ?5402) =>= rd (mult ?5401 (i ?5402)) ?5400 [5402, 5401, 5400] by Super 3084 with 468 at 2,2
% 9.23/2.63 Id : 18109, {_}: rd (mult ?30675 (i ?30676)) (i ?30675) =<= mult ?30675 (i (mult ?30676 (i ?30675))) [30676, 30675] by Demod 17992 with 3086 at 2
% 9.23/2.63 Id : 18110, {_}: rd (mult ?30675 (i ?30676)) (i ?30675) =>= mult ?30675 (mult (i ?30676) ?30675) [30676, 30675] by Demod 18109 with 468 at 2,3
% 9.23/2.63 Id : 3096, {_}: rd (mult ?5439 (i ?5440)) (i ?5441) =>= rd ?5441 (mult (i ?5439) ?5440) [5441, 5440, 5439] by Super 3084 with 469 at 1,2
% 9.23/2.63 Id : 18111, {_}: rd ?30675 (mult (i ?30675) ?30676) =<= mult ?30675 (mult (i ?30676) ?30675) [30676, 30675] by Demod 18110 with 3096 at 2
% 9.23/2.63 Id : 34531, {_}: mult (rd ?50780 (mult (i ?50780) (mult ?50781 ?50780))) ?50781 =>= mult ?50780 (op_k ?50780 ?50781) [50781, 50780] by Demod 34340 with 18111 at 1,2
% 9.23/2.63 Id : 36302, {_}: mult (rd ?53697 (op_t ?53698 ?53697)) ?53698 =>= mult ?53697 (op_k ?53697 ?53698) [53698, 53697] by Demod 34531 with 15 at 2,1,2
% 9.23/2.63 Id : 327, {_}: op_t (i ?835) (i ?836) =<= mult (i (i ?836)) (i (mult ?835 ?836)) [836, 835] by Super 319 with 6 at 2,3
% 9.23/2.63 Id : 341, {_}: op_t (i ?835) (i ?836) =<= i (mult (i ?836) (mult ?835 ?836)) [836, 835] by Demod 327 with 6 at 3
% 9.23/2.63 Id : 342, {_}: op_t (i ?835) (i ?836) =>= i (op_t ?835 ?836) [836, 835] by Demod 341 with 15 at 1,3
% 9.23/2.63 Id : 36308, {_}: mult (rd (i ?53713) (i (op_t ?53714 ?53713))) (i ?53714) =>= mult (i ?53713) (op_k (i ?53713) (i ?53714)) [53714, 53713] by Super 36302 with 342 at 2,1,2
% 9.23/2.63 Id : 1088, {_}: i (mult (rd ?2248 ?2249) ?2250) =<= mult (rd ?2249 ?2248) (i ?2250) [2250, 2249, 2248] by Super 469 with 1063 at 1,1,2
% 9.23/2.63 Id : 36398, {_}: i (mult (rd (i (op_t ?53714 ?53713)) (i ?53713)) ?53714) =>= mult (i ?53713) (op_k (i ?53713) (i ?53714)) [53713, 53714] by Demod 36308 with 1088 at 2
% 9.23/2.63 Id : 3039, {_}: rd (i ?5293) (i ?5294) =>= rd ?5294 ?5293 [5294, 5293] by Demod 2986 with 1063 at 3
% 9.23/2.63 Id : 36399, {_}: i (mult (rd ?53713 (op_t ?53714 ?53713)) ?53714) =?= mult (i ?53713) (op_k (i ?53713) (i ?53714)) [53714, 53713] by Demod 36398 with 3039 at 1,1,2
% 9.23/2.63 Id : 34532, {_}: mult (rd ?50780 (op_t ?50781 ?50780)) ?50781 =>= mult ?50780 (op_k ?50780 ?50781) [50781, 50780] by Demod 34531 with 15 at 2,1,2
% 9.23/2.63 Id : 36400, {_}: i (mult ?53713 (op_k ?53713 ?53714)) =<= mult (i ?53713) (op_k (i ?53713) (i ?53714)) [53714, 53713] by Demod 36399 with 34532 at 1,2
% 9.23/2.63 Id : 38765, {_}: mult (i (i ?56825)) (i (mult ?56825 (op_k ?56825 ?56826))) =>= op_k (i ?56825) (i ?56826) [56826, 56825] by Super 7 with 36400 at 2,2
% 9.23/2.63 Id : 38909, {_}: i (mult (i ?56825) (mult ?56825 (op_k ?56825 ?56826))) =>= op_k (i ?56825) (i ?56826) [56826, 56825] by Demod 38765 with 6 at 2
% 9.23/2.63 Id : 38910, {_}: mult ?56825 (i (mult ?56825 (op_k ?56825 ?56826))) =>= op_k (i ?56825) (i ?56826) [56826, 56825] by Demod 38909 with 469 at 2
% 9.23/2.63 Id : 915, {_}: i (mult (i ?1956) ?1957) =>= mult ?1956 (i ?1957) [1957, 1956] by Super 6 with 58 at 1,3
% 9.23/2.63 Id : 923, {_}: i ?1978 =<= mult ?1979 (i (mult ?1979 ?1978)) [1979, 1978] by Super 915 with 7 at 1,2
% 9.23/2.63 Id : 38911, {_}: i (op_k ?56825 ?56826) =<= op_k (i ?56825) (i ?56826) [56826, 56825] by Demod 38910 with 923 at 2
% 9.23/2.63 Id : 34322, {_}: rd (mult ?50720 ?50721) (mult (i (mult ?50720 ?50721)) (mult ?50721 ?50720)) =>= mult (mult ?50720 ?50721) (op_k ?50720 ?50721) [50721, 50720] by Super 18111 with 181 at 2,3
% 9.23/2.63 Id : 36524, {_}: rd (mult ?53970 ?53971) (op_k ?53971 ?53970) =<= mult (mult ?53970 ?53971) (op_k ?53970 ?53971) [53971, 53970] by Demod 34322 with 181 at 2,2
% 9.23/2.63 Id : 36550, {_}: rd (mult (rd ?54031 ?54032) ?54032) (op_k ?54032 (rd ?54031 ?54032)) =>= mult ?54031 (op_k (rd ?54031 ?54032) ?54032) [54032, 54031] by Super 36524 with 9 at 1,3
% 9.23/2.63 Id : 36768, {_}: rd ?54031 (op_k ?54032 (rd ?54031 ?54032)) =<= mult ?54031 (op_k (rd ?54031 ?54032) ?54032) [54032, 54031] by Demod 36550 with 9 at 1,2
% 9.23/2.63 Id : 36284, {_}: rd ?53639 (mult ?53640 (op_k ?53640 ?53639)) =>= i (rd ?53640 (op_t ?53639 ?53640)) [53640, 53639] by Super 66 with 34532 at 2,2
% 9.23/2.63 Id : 36369, {_}: rd ?53639 (mult ?53640 (op_k ?53640 ?53639)) =>= rd (op_t ?53639 ?53640) ?53640 [53640, 53639] by Demod 36284 with 1063 at 3
% 9.23/2.63 Id : 325, {_}: op_t (rd ?828 ?829) ?829 =>= mult (i ?829) ?828 [829, 828] by Super 319 with 9 at 2,3
% 9.23/2.63 Id : 836, {_}: op_t (i ?1798) (i ?1799) =>= i (op_t ?1798 ?1799) [1799, 1798] by Demod 341 with 15 at 1,3
% 9.23/2.63 Id : 839, {_}: op_t ?1806 (i ?1807) =<= i (op_t (i ?1806) ?1807) [1807, 1806] by Super 836 with 58 at 1,2
% 9.23/2.63 Id : 1068, {_}: rd (op_k ?2230 ?2231) (mult ?2230 ?2231) =>= i (mult ?2231 ?2230) [2231, 2230] by Super 1057 with 12 at 2,2
% 9.23/2.63 Id : 34363, {_}: mult (i (mult ?50854 ?50855)) (mult ?50855 ?50854) =>= op_k ?50855 ?50854 [50855, 50854] by Super 7 with 12 at 2,2
% 9.23/2.63 Id : 34368, {_}: mult (i (mult (mult ?50865 ?50866) (i ?50865))) ?50866 =>= op_k (i ?50865) (mult ?50865 ?50866) [50866, 50865] by Super 34363 with 7 at 2,2
% 9.23/2.63 Id : 34573, {_}: mult (mult (i (mult ?50865 ?50866)) ?50865) ?50866 =>= op_k (i ?50865) (mult ?50865 ?50866) [50866, 50865] by Demod 34368 with 468 at 1,2
% 9.23/2.63 Id : 17612, {_}: mult (mult ?29988 (mult ?29989 ?29988)) (i ?29988) =>= mult ?29988 ?29989 [29989, 29988] by Demod 84 with 3 at 2,3
% 9.23/2.63 Id : 17639, {_}: mult (mult ?30093 ?30094) (i ?30093) =>= mult ?30093 (rd ?30094 ?30093) [30094, 30093] by Super 17612 with 9 at 2,1,2
% 9.23/2.63 Id : 18819, {_}: i (mult ?32002 (rd ?32003 ?32002)) =<= mult (i (mult ?32002 ?32003)) ?32002 [32003, 32002] by Super 468 with 17639 at 1,2
% 9.23/2.63 Id : 34574, {_}: mult (i (mult ?50865 (rd ?50866 ?50865))) ?50866 =>= op_k (i ?50865) (mult ?50865 ?50866) [50866, 50865] by Demod 34573 with 18819 at 1,2
% 9.23/2.63 Id : 163, {_}: mult (mult (i (mult ?386 ?387)) ?386) ?387 =<= mult unit (asoc (i (mult ?386 ?387)) ?386 ?387) [387, 386] by Super 151 with 5 at 1,3
% 9.23/2.63 Id : 175, {_}: mult (mult (i (mult ?386 ?387)) ?386) ?387 =>= asoc (i (mult ?386 ?387)) ?386 ?387 [387, 386] by Demod 163 with 2 at 3
% 9.23/2.63 Id : 33830, {_}: mult (i (mult ?386 (rd ?387 ?386))) ?387 =>= asoc (i (mult ?386 ?387)) ?386 ?387 [387, 386] by Demod 175 with 18819 at 1,2
% 9.23/2.63 Id : 36888, {_}: asoc (i (mult ?54268 ?54269)) ?54268 ?54269 =>= op_k (i ?54268) (mult ?54268 ?54269) [54269, 54268] by Demod 34574 with 33830 at 2
% 9.23/2.63 Id : 36927, {_}: asoc (i (i ?54391)) ?54392 (i (mult ?54392 ?54391)) =?= op_k (i ?54392) (mult ?54392 (i (mult ?54392 ?54391))) [54392, 54391] by Super 36888 with 923 at 1,1,2
% 9.23/2.63 Id : 37084, {_}: asoc ?54391 ?54392 (i (mult ?54392 ?54391)) =?= op_k (i ?54392) (mult ?54392 (i (mult ?54392 ?54391))) [54392, 54391] by Demod 36927 with 58 at 1,2
% 9.23/2.63 Id : 37085, {_}: asoc ?54391 ?54392 (i (mult ?54392 ?54391)) =>= op_k (i ?54392) (i ?54391) [54392, 54391] by Demod 37084 with 923 at 2,3
% 9.23/2.63 Id : 53599, {_}: asoc ?54391 ?54392 (i (mult ?54392 ?54391)) =>= i (op_k ?54392 ?54391) [54392, 54391] by Demod 37085 with 38911 at 3
% 9.23/2.63 Id : 53602, {_}: asoc (i (op_k ?86633 ?86634)) ?86635 ?86636 =>= unit [86636, 86635, 86634, 86633] by Super 22 with 53599 at 1,2
% 9.23/2.63 Id : 56555, {_}: unit =<= i (op_k ?90726 (i (op_k ?90727 ?90728))) [90728, 90727, 90726] by Super 53599 with 53602 at 2
% 9.23/2.63 Id : 39060, {_}: i (op_k ?57288 ?57289) =<= op_k (i ?57288) (i ?57289) [57289, 57288] by Demod 38910 with 923 at 2
% 9.23/2.63 Id : 39061, {_}: i (op_k ?57291 (i ?57292)) =>= op_k (i ?57291) ?57292 [57292, 57291] by Super 39060 with 58 at 2,3
% 9.23/2.63 Id : 56781, {_}: unit =<= op_k (i ?91122) (op_k ?91123 ?91124) [91124, 91123, 91122] by Demod 56555 with 39061 at 3
% 9.23/2.63 Id : 57006, {_}: unit =<= op_k ?91617 (op_k ?91618 ?91619) [91619, 91618, 91617] by Super 56781 with 58 at 1,3
% 9.23/2.63 Id : 57038, {_}: unit =<= op_k ?91691 (i (op_k ?91692 ?91693)) [91693, 91692, 91691] by Super 57006 with 38911 at 2,3
% 9.23/2.63 Id : 57171, {_}: rd unit (mult ?91883 (i (op_k ?91884 ?91885))) =>= i (mult (i (op_k ?91884 ?91885)) ?91883) [91885, 91884, 91883] by Super 1068 with 57038 at 1,2
% 9.23/2.63 Id : 65, {_}: rd unit ?150 =>= i ?150 [150] by Super 61 with 5 at 1,2
% 9.23/2.63 Id : 57371, {_}: i (mult ?91883 (i (op_k ?91884 ?91885))) =?= i (mult (i (op_k ?91884 ?91885)) ?91883) [91885, 91884, 91883] by Demod 57171 with 65 at 2
% 9.23/2.63 Id : 57372, {_}: i (mult ?91883 (i (op_k ?91884 ?91885))) =>= mult (op_k ?91884 ?91885) (i ?91883) [91885, 91884, 91883] by Demod 57371 with 469 at 3
% 9.23/2.63 Id : 57373, {_}: mult (i ?91883) (op_k ?91884 ?91885) =<= mult (op_k ?91884 ?91885) (i ?91883) [91885, 91884, 91883] by Demod 57372 with 468 at 2
% 9.39/2.63 Id : 57594, {_}: i (i ?92418) =<= mult (op_k ?92419 ?92420) (i (mult (i ?92418) (op_k ?92419 ?92420))) [92420, 92419, 92418] by Super 923 with 57373 at 1,2,3
% 9.39/2.63 Id : 57722, {_}: ?92418 =<= mult (op_k ?92419 ?92420) (i (mult (i ?92418) (op_k ?92419 ?92420))) [92420, 92419, 92418] by Demod 57594 with 58 at 2
% 9.39/2.63 Id : 926, {_}: i (op_t ?1988 ?1989) =<= mult ?1989 (i (mult ?1988 ?1989)) [1989, 1988] by Super 915 with 15 at 1,2
% 9.39/2.63 Id : 57723, {_}: ?92418 =<= i (op_t (i ?92418) (op_k ?92419 ?92420)) [92420, 92419, 92418] by Demod 57722 with 926 at 3
% 9.39/2.63 Id : 57724, {_}: ?92418 =<= op_t ?92418 (i (op_k ?92419 ?92420)) [92420, 92419, 92418] by Demod 57723 with 839 at 3
% 9.39/2.63 Id : 58495, {_}: op_t ?93920 (i (i (op_k ?93921 ?93922))) =>= i (i ?93920) [93922, 93921, 93920] by Super 839 with 57724 at 1,3
% 9.39/2.63 Id : 58739, {_}: op_t ?93920 (op_k ?93921 ?93922) =>= i (i ?93920) [93922, 93921, 93920] by Demod 58495 with 58 at 2,2
% 9.39/2.63 Id : 58740, {_}: op_t ?93920 (op_k ?93921 ?93922) =>= ?93920 [93922, 93921, 93920] by Demod 58739 with 58 at 3
% 9.39/2.63 Id : 58967, {_}: rd ?94722 (op_k ?94723 ?94724) =<= mult (i (op_k ?94723 ?94724)) ?94722 [94724, 94723, 94722] by Super 325 with 58740 at 2
% 9.39/2.63 Id : 62198, {_}: rd ?99531 (rd (op_k (i (op_k ?99532 ?99533)) ?99531) (op_k ?99532 ?99533)) =>= rd (op_t ?99531 (i (op_k ?99532 ?99533))) (i (op_k ?99532 ?99533)) [99533, 99532, 99531] by Super 36369 with 58967 at 2,2
% 9.39/2.63 Id : 57602, {_}: mult (i (mult (i ?92452) (op_k ?92453 ?92454))) (mult (i ?92452) (op_k ?92453 ?92454)) =>= op_k (op_k ?92453 ?92454) (i ?92452) [92454, 92453, 92452] by Super 181 with 57373 at 2,2
% 9.39/2.63 Id : 58036, {_}: unit =<= op_k (op_k ?93040 ?93041) (i ?93042) [93042, 93041, 93040] by Demod 57602 with 5 at 2
% 9.39/2.63 Id : 58296, {_}: unit =<= op_k (op_k ?93553 ?93554) ?93555 [93555, 93554, 93553] by Super 58036 with 58 at 2,3
% 9.39/2.63 Id : 58328, {_}: unit =<= op_k (i (op_k ?93627 ?93628)) ?93629 [93629, 93628, 93627] by Super 58296 with 38911 at 1,3
% 9.39/2.63 Id : 62318, {_}: rd ?99531 (rd unit (op_k ?99532 ?99533)) =<= rd (op_t ?99531 (i (op_k ?99532 ?99533))) (i (op_k ?99532 ?99533)) [99533, 99532, 99531] by Demod 62198 with 58328 at 1,2,2
% 9.39/2.63 Id : 3099, {_}: rd (op_t ?5449 (i ?5450)) (i ?5451) =>= rd ?5451 (op_t (i ?5449) ?5450) [5451, 5450, 5449] by Super 3084 with 839 at 1,2
% 9.39/2.63 Id : 62319, {_}: rd ?99531 (rd unit (op_k ?99532 ?99533)) =<= rd (op_k ?99532 ?99533) (op_t (i ?99531) (op_k ?99532 ?99533)) [99533, 99532, 99531] by Demod 62318 with 3099 at 3
% 9.39/2.63 Id : 62320, {_}: rd ?99531 (i (op_k ?99532 ?99533)) =<= rd (op_k ?99532 ?99533) (op_t (i ?99531) (op_k ?99532 ?99533)) [99533, 99532, 99531] by Demod 62319 with 65 at 2,2
% 9.39/2.63 Id : 62321, {_}: rd ?99531 (i (op_k ?99532 ?99533)) =?= rd (op_k ?99532 ?99533) (i ?99531) [99533, 99532, 99531] by Demod 62320 with 58740 at 2,3
% 9.39/2.63 Id : 58494, {_}: rd ?93916 (i (op_k ?93917 ?93918)) =<= mult (i (i (op_k ?93917 ?93918))) ?93916 [93918, 93917, 93916] by Super 325 with 57724 at 2
% 9.39/2.63 Id : 58741, {_}: rd ?93916 (i (op_k ?93917 ?93918)) =>= mult (op_k ?93917 ?93918) ?93916 [93918, 93917, 93916] by Demod 58494 with 58 at 1,3
% 9.39/2.63 Id : 62322, {_}: mult (op_k ?99532 ?99533) ?99531 =<= rd (op_k ?99532 ?99533) (i ?99531) [99531, 99533, 99532] by Demod 62321 with 58741 at 2
% 9.39/2.63 Id : 1942, {_}: op_t (rd ?3671 ?3672) (i ?3673) =<= i (op_t (rd ?3672 ?3671) ?3673) [3673, 3672, 3671] by Super 839 with 1063 at 1,1,3
% 9.39/2.63 Id : 1950, {_}: op_t (rd ?3700 ?3701) (i ?3700) =>= i (mult (i ?3700) ?3701) [3701, 3700] by Super 1942 with 325 at 1,3
% 9.39/2.63 Id : 1979, {_}: op_t (rd ?3700 ?3701) (i ?3700) =>= mult ?3700 (i ?3701) [3701, 3700] by Demod 1950 with 469 at 3
% 9.39/2.63 Id : 58512, {_}: rd (op_k ?93990 ?93991) ?93992 =<= mult (op_k ?93990 ?93991) (i ?93992) [93992, 93991, 93990] by Super 1979 with 57724 at 2
% 9.39/2.63 Id : 61110, {_}: rd (op_k ?97829 ?97830) ?97831 =<= mult (i ?97831) (op_k ?97829 ?97830) [97831, 97830, 97829] by Demod 58512 with 57373 at 3
% 9.40/2.64 Id : 61165, {_}: rd (op_k ?98065 ?98066) (i ?98067) =>= mult ?98067 (op_k ?98065 ?98066) [98067, 98066, 98065] by Super 61110 with 58 at 1,3
% 9.40/2.64 Id : 68170, {_}: mult (op_k ?99532 ?99533) ?99531 =?= mult ?99531 (op_k ?99532 ?99533) [99531, 99533, 99532] by Demod 62322 with 61165 at 3
% 9.40/2.64 Id : 68302, {_}: rd ?108094 (op_k ?108095 (rd ?108094 ?108095)) =<= mult (op_k (rd ?108094 ?108095) ?108095) ?108094 [108095, 108094] by Super 36768 with 68170 at 3
% 9.40/2.64 Id : 77189, {_}: op_t (op_k (rd ?119497 ?119498) ?119498) ?119497 =<= mult (i ?119497) (rd ?119497 (op_k ?119498 (rd ?119497 ?119498))) [119498, 119497] by Super 15 with 68302 at 2,3
% 9.40/2.64 Id : 464, {_}: op_t ?1202 (i ?1203) =<= mult ?1203 (mult ?1202 (i ?1203)) [1203, 1202] by Super 15 with 58 at 1,3
% 9.40/2.64 Id : 57593, {_}: op_t (op_k ?92414 ?92415) (i ?92416) =<= mult ?92416 (mult (i ?92416) (op_k ?92414 ?92415)) [92416, 92415, 92414] by Super 464 with 57373 at 2,3
% 9.40/2.64 Id : 465, {_}: mult ?1205 (mult (i ?1205) ?1206) =>= ?1206 [1206, 1205] by Super 7 with 58 at 1,2
% 9.40/2.64 Id : 59339, {_}: op_t (op_k ?95385 ?95386) (i ?95387) =>= op_k ?95385 ?95386 [95387, 95386, 95385] by Demod 57593 with 465 at 3
% 9.40/2.64 Id : 59340, {_}: op_t (op_k ?95389 ?95390) ?95391 =>= op_k ?95389 ?95390 [95391, 95390, 95389] by Super 59339 with 58 at 2,2
% 9.40/2.64 Id : 77325, {_}: op_k (rd ?119497 ?119498) ?119498 =<= mult (i ?119497) (rd ?119497 (op_k ?119498 (rd ?119497 ?119498))) [119498, 119497] by Demod 77189 with 59340 at 2
% 9.40/2.64 Id : 1097, {_}: i (mult ?2280 (rd ?2281 ?2282)) =<= mult (i ?2280) (rd ?2282 ?2281) [2282, 2281, 2280] by Super 6 with 1063 at 2,3
% 9.40/2.64 Id : 77326, {_}: op_k (rd ?119497 ?119498) ?119498 =<= i (mult ?119497 (rd (op_k ?119498 (rd ?119497 ?119498)) ?119497)) [119498, 119497] by Demod 77325 with 1097 at 3
% 9.40/2.64 Id : 18840, {_}: mult (mult ?32074 ?32075) (i ?32074) =>= mult ?32074 (rd ?32075 ?32074) [32075, 32074] by Super 17612 with 9 at 2,1,2
% 9.40/2.64 Id : 1352, {_}: mult ?2679 (mult (i ?2679) ?2680) =>= ?2680 [2680, 2679] by Super 7 with 58 at 1,2
% 9.40/2.64 Id : 1367, {_}: mult ?2726 (op_t ?2727 ?2726) =>= mult ?2727 ?2726 [2727, 2726] by Super 1352 with 15 at 2,2
% 9.40/2.64 Id : 18873, {_}: mult (mult ?32199 ?32200) (i ?32200) =<= mult ?32200 (rd (op_t ?32199 ?32200) ?32200) [32200, 32199] by Super 18840 with 1367 at 1,2
% 9.40/2.64 Id : 265, {_}: op_r ?649 ?650 (i ?650) =<= rd (mult (mult ?649 ?650) (i ?650)) unit [650, 649] by Super 262 with 4 at 2,3
% 9.40/2.64 Id : 63, {_}: rd ?146 unit =>= ?146 [146] by Super 61 with 3 at 1,2
% 9.40/2.64 Id : 9077, {_}: op_r ?649 ?650 (i ?650) =<= mult (mult ?649 ?650) (i ?650) [650, 649] by Demod 265 with 63 at 3
% 9.40/2.64 Id : 18968, {_}: op_r ?32199 ?32200 (i ?32200) =<= mult ?32200 (rd (op_t ?32199 ?32200) ?32200) [32200, 32199] by Demod 18873 with 9077 at 2
% 9.40/2.64 Id : 59684, {_}: op_r (op_k ?95921 ?95922) ?95923 (i ?95923) =<= mult ?95923 (rd (op_k ?95921 ?95922) ?95923) [95923, 95922, 95921] by Super 18968 with 59340 at 1,2,3
% 9.40/2.64 Id : 58728, {_}: rd (op_k ?93990 ?93991) ?93992 =<= mult (i ?93992) (op_k ?93990 ?93991) [93992, 93991, 93990] by Demod 58512 with 57373 at 3
% 9.40/2.64 Id : 61074, {_}: mult ?97677 (rd (op_k ?97678 ?97679) ?97677) =>= op_k ?97678 ?97679 [97679, 97678, 97677] by Super 465 with 58728 at 2,2
% 9.40/2.64 Id : 72137, {_}: op_r (op_k ?97678 ?97679) ?97677 (i ?97677) =>= op_k ?97678 ?97679 [97677, 97679, 97678] by Demod 61074 with 59684 at 2
% 9.40/2.64 Id : 72138, {_}: op_k ?95921 ?95922 =<= mult ?95923 (rd (op_k ?95921 ?95922) ?95923) [95923, 95922, 95921] by Demod 59684 with 72137 at 2
% 9.40/2.64 Id : 77943, {_}: op_k (rd ?120722 ?120723) ?120723 =<= i (op_k ?120723 (rd ?120722 ?120723)) [120723, 120722] by Demod 77326 with 72138 at 1,3
% 9.40/2.64 Id : 77944, {_}: op_k (rd (mult ?120725 ?120726) ?120726) ?120726 =>= i (op_k ?120726 ?120725) [120726, 120725] by Super 77943 with 8 at 2,1,3
% 9.40/2.64 Id : 78397, {_}: op_k ?120725 ?120726 =<= i (op_k ?120726 ?120725) [120726, 120725] by Demod 77944 with 8 at 1,2
% 9.40/2.64 Id : 78620, {_}: op_k ?56826 ?56825 =<= op_k (i ?56825) (i ?56826) [56825, 56826] by Demod 38911 with 78397 at 2
% 9.40/2.64 Id : 39089, {_}: i (op_k (i ?57408) ?57409) =>= op_k ?57408 (i ?57409) [57409, 57408] by Super 39060 with 58 at 1,3
% 9.40/2.64 Id : 53603, {_}: i (op_k ?86638 (asoc ?86639 ?86640 ?86641)) =>= unit [86641, 86640, 86639, 86638] by Super 22 with 53599 at 2
% 9.40/2.64 Id : 69475, {_}: unit =<= op_k ?110170 (i (asoc ?110171 ?110172 ?110173)) [110173, 110172, 110171, 110170] by Super 39089 with 53603 at 2
% 9.40/2.64 Id : 79654, {_}: op_k (asoc ?122300 ?122301 ?122302) ?122303 =>= unit [122303, 122302, 122301, 122300] by Super 78620 with 69475 at 3
% 9.40/2.64 Id : 80014, {_}: unit === unit [] by Demod 1 with 79654 at 2
% 9.40/2.64 Id : 1, {_}: op_k (asoc a b c) d =>= unit [] by goals
% 9.40/2.64 % SZS output end CNFRefutation for theBenchmark.p
% 9.40/2.64 32720: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 2.322431 using nrkbo
%------------------------------------------------------------------------------