TSTP Solution File: GRP687-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP687-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n024.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 10:31:37 EDT 2022
% Result : Unsatisfiable 18.54s 5.01s
% Output : CNFRefutation 18.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP687-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 12:46:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 10290: Facts:
% 0.12/0.33 10290: Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 0.12/0.33 10290: Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 0.12/0.33 10290: Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 0.12/0.33 10290: Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 0.12/0.33 10290: Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 0.12/0.33 10290: Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 0.12/0.33 10290: Id : 8, {_}:
% 0.12/0.33 mult (mult ?18 ?18) (mult ?19 ?20)
% 0.12/0.33 =?=
% 0.12/0.33 mult (mult ?18 (mult ?18 ?19)) ?20
% 0.12/0.33 [20, 19, 18] by c07 ?18 ?19 ?20
% 0.12/0.33 10290: Goal:
% 0.12/0.33 10290: Id : 1, {_}:
% 0.12/0.33 mult a (mult b (mult b c)) =<= mult (mult a (mult b b)) c
% 0.12/0.33 [] by goals
% 18.54/5.01 Statistics :
% 18.54/5.01 Max weight : 21
% 18.54/5.01 Found proof, 4.682336s
% 18.54/5.01 % SZS status Unsatisfiable for theBenchmark.p
% 18.54/5.01 % SZS output start CNFRefutation for theBenchmark.p
% 18.54/5.01 Id : 19, {_}: rd (mult ?49 ?50) ?50 =>= ?49 [50, 49] by c04 ?49 ?50
% 18.54/5.01 Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 18.54/5.01 Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 18.54/5.01 Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 18.54/5.01 Id : 8, {_}: mult (mult ?18 ?18) (mult ?19 ?20) =<= mult (mult ?18 (mult ?18 ?19)) ?20 [20, 19, 18] by c07 ?18 ?19 ?20
% 18.54/5.01 Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 18.54/5.01 Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 18.54/5.01 Id : 41, {_}: mult (mult ?101 ?101) (mult ?102 ?103) =<= mult (mult ?101 (mult ?101 ?102)) ?103 [103, 102, 101] by c07 ?101 ?102 ?103
% 18.54/5.01 Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 18.54/5.01 Id : 42, {_}: mult (mult ?105 ?105) (mult (ld ?105 ?106) ?107) =>= mult (mult ?105 ?106) ?107 [107, 106, 105] by Super 41 with 2 at 2,1,3
% 18.54/5.01 Id : 37, {_}: mult (mult ?86 ?86) (mult ?87 unit) =>= mult ?86 (mult ?86 ?87) [87, 86] by Super 6 with 8 at 2
% 18.54/5.01 Id : 52, {_}: mult (mult ?86 ?86) ?87 =>= mult ?86 (mult ?86 ?87) [87, 86] by Demod 37 with 6 at 2,2
% 18.54/5.01 Id : 1907, {_}: mult ?105 (mult ?105 (mult (ld ?105 ?106) ?107)) =>= mult (mult ?105 ?106) ?107 [107, 106, 105] by Demod 42 with 52 at 2
% 18.54/5.01 Id : 1910, {_}: ld ?1902 (mult (mult ?1902 ?1903) ?1904) =<= mult ?1902 (mult (ld ?1902 ?1903) ?1904) [1904, 1903, 1902] by Super 3 with 1907 at 2,2
% 18.54/5.01 Id : 15, {_}: ld (rd ?38 ?39) ?38 =>= ?39 [39, 38] by Super 3 with 4 at 2,2
% 18.54/5.01 Id : 40, {_}: rd (mult (mult ?97 ?97) (mult ?98 ?99)) ?99 =>= mult ?97 (mult ?97 ?98) [99, 98, 97] by Super 5 with 8 at 1,2
% 18.54/5.01 Id : 1035, {_}: rd (mult ?1163 (mult ?1163 (mult ?1164 ?1165))) ?1165 =>= mult ?1163 (mult ?1163 ?1164) [1165, 1164, 1163] by Demod 40 with 52 at 1,2
% 18.54/5.01 Id : 1111, {_}: rd (mult ?1321 (mult ?1321 ?1322)) ?1323 =<= mult ?1321 (mult ?1321 (rd ?1322 ?1323)) [1323, 1322, 1321] by Super 1035 with 4 at 2,2,1,2
% 18.54/5.01 Id : 184, {_}: rd (mult ?283 (mult ?283 ?284)) ?284 =>= mult ?283 ?283 [284, 283] by Super 5 with 52 at 1,2
% 18.54/5.01 Id : 214, {_}: rd (mult ?322 ?323) (ld ?322 ?323) =>= mult ?322 ?322 [323, 322] by Super 184 with 2 at 2,1,2
% 18.54/5.01 Id : 221, {_}: rd ?341 (ld ?341 unit) =>= mult ?341 ?341 [341] by Super 214 with 6 at 1,2
% 18.54/5.01 Id : 2608, {_}: rd (mult ?2359 (mult ?2359 ?2360)) (ld ?2360 unit) =>= mult ?2359 (mult ?2359 (mult ?2360 ?2360)) [2360, 2359] by Super 1111 with 221 at 2,2,3
% 18.54/5.01 Id : 2618, {_}: rd (mult ?2387 ?2388) (ld (ld ?2387 ?2388) unit) =<= mult ?2387 (mult ?2387 (mult (ld ?2387 ?2388) (ld ?2387 ?2388))) [2388, 2387] by Super 2608 with 2 at 2,1,2
% 18.54/5.01 Id : 2678, {_}: rd (mult ?2387 ?2388) (ld (ld ?2387 ?2388) unit) =<= mult ?2387 (ld ?2387 (mult (mult ?2387 ?2388) (ld ?2387 ?2388))) [2388, 2387] by Demod 2618 with 1910 at 2,3
% 18.54/5.01 Id : 3682, {_}: rd (mult ?3448 ?3449) (ld (ld ?3448 ?3449) unit) =>= mult (mult ?3448 ?3449) (ld ?3448 ?3449) [3449, 3448] by Demod 2678 with 2 at 3
% 18.54/5.01 Id : 3699, {_}: rd ?3494 (ld (ld ?3494 unit) unit) =<= mult (mult ?3494 unit) (ld ?3494 unit) [3494] by Super 3682 with 6 at 1,2
% 18.54/5.01 Id : 3769, {_}: rd ?3494 (ld (ld ?3494 unit) unit) =>= mult ?3494 (ld ?3494 unit) [3494] by Demod 3699 with 6 at 1,3
% 18.54/5.01 Id : 3770, {_}: rd ?3494 (ld (ld ?3494 unit) unit) =>= unit [3494] by Demod 3769 with 2 at 3
% 18.54/5.01 Id : 4221, {_}: ld unit ?3931 =<= ld (ld ?3931 unit) unit [3931] by Super 15 with 3770 at 1,2
% 18.54/5.01 Id : 30, {_}: ld unit ?74 =>= ?74 [74] by Super 3 with 7 at 2,2
% 18.54/5.01 Id : 4326, {_}: ?3931 =<= ld (ld ?3931 unit) unit [3931] by Demod 4221 with 30 at 2
% 18.54/5.01 Id : 4437, {_}: ld (ld ?4016 unit) (mult (mult (ld ?4016 unit) unit) ?4017) =>= mult (ld ?4016 unit) (mult ?4016 ?4017) [4017, 4016] by Super 1910 with 4326 at 1,2,3
% 18.54/5.01 Id : 4455, {_}: ld (ld ?4016 unit) (mult (ld ?4016 unit) ?4017) =>= mult (ld ?4016 unit) (mult ?4016 ?4017) [4017, 4016] by Demod 4437 with 6 at 1,2,2
% 18.54/5.01 Id : 4456, {_}: ?4017 =<= mult (ld ?4016 unit) (mult ?4016 ?4017) [4016, 4017] by Demod 4455 with 3 at 2
% 18.54/5.01 Id : 20, {_}: rd ?52 (ld ?53 ?52) =>= ?53 [53, 52] by Super 19 with 2 at 1,2
% 18.54/5.01 Id : 4434, {_}: rd unit ?4010 =<= ld ?4010 unit [4010] by Super 20 with 4326 at 2,2
% 18.54/5.01 Id : 4782, {_}: ?4017 =<= mult (rd unit ?4016) (mult ?4016 ?4017) [4016, 4017] by Demod 4456 with 4434 at 1,3
% 18.54/5.01 Id : 4795, {_}: ld (rd unit ?4273) ?4274 =>= mult ?4273 ?4274 [4274, 4273] by Super 3 with 4782 at 2,2
% 18.54/5.01 Id : 1037, {_}: rd (mult ?1171 (mult ?1171 ?1172)) ?1173 =<= mult ?1171 (mult ?1171 (rd ?1172 ?1173)) [1173, 1172, 1171] by Super 1035 with 4 at 2,2,1,2
% 18.54/5.01 Id : 5314, {_}: rd ?4728 (mult ?4729 ?4728) =>= rd unit ?4729 [4729, 4728] by Super 5 with 4782 at 1,2
% 18.54/5.01 Id : 5316, {_}: rd ?4734 ?4735 =<= rd unit (rd ?4735 ?4734) [4735, 4734] by Super 5314 with 4 at 2,2
% 18.54/5.01 Id : 5430, {_}: rd (mult ?4813 (mult ?4813 unit)) (rd ?4814 ?4815) =>= mult ?4813 (mult ?4813 (rd ?4815 ?4814)) [4815, 4814, 4813] by Super 1037 with 5316 at 2,2,3
% 18.54/5.01 Id : 5490, {_}: rd (mult ?4813 ?4813) (rd ?4814 ?4815) =<= mult ?4813 (mult ?4813 (rd ?4815 ?4814)) [4815, 4814, 4813] by Demod 5430 with 6 at 2,1,2
% 18.54/5.01 Id : 7448, {_}: rd (mult ?6659 ?6659) (rd ?6660 ?6661) =<= rd (mult ?6659 (mult ?6659 ?6661)) ?6660 [6661, 6660, 6659] by Demod 5490 with 1037 at 3
% 18.54/5.01 Id : 4494, {_}: mult ?4062 (rd unit ?4062) =>= unit [4062] by Super 2 with 4434 at 2,2
% 18.54/5.01 Id : 7454, {_}: rd (mult ?6682 ?6682) (rd ?6683 (rd unit ?6682)) =>= rd (mult ?6682 unit) ?6683 [6683, 6682] by Super 7448 with 4494 at 2,1,3
% 18.54/5.01 Id : 7528, {_}: rd (mult ?6682 ?6682) (rd ?6683 (rd unit ?6682)) =>= rd ?6682 ?6683 [6683, 6682] by Demod 7454 with 6 at 1,3
% 18.54/5.01 Id : 17809, {_}: ld (rd ?12641 ?12642) (mult ?12641 ?12641) =>= rd ?12642 (rd unit ?12641) [12642, 12641] by Super 15 with 7528 at 1,2
% 18.54/5.01 Id : 17817, {_}: ld ?12666 (mult ?12667 ?12667) =<= rd (ld ?12666 ?12667) (rd unit ?12667) [12667, 12666] by Super 17809 with 20 at 1,2
% 18.54/5.01 Id : 11845, {_}: rd (mult ?9587 ?9587) (rd ?9588 (rd unit ?9587)) =>= rd ?9587 ?9588 [9588, 9587] by Demod 7454 with 6 at 1,3
% 18.54/5.01 Id : 4800, {_}: ?4289 =<= mult (rd unit ?4290) (mult ?4290 ?4289) [4290, 4289] by Demod 4456 with 4434 at 1,3
% 18.54/5.01 Id : 4801, {_}: ld ?4292 ?4293 =<= mult (rd unit ?4292) ?4293 [4293, 4292] by Super 4800 with 2 at 2,3
% 18.54/5.01 Id : 5050, {_}: rd (ld ?4551 ?4552) ?4552 =>= rd unit ?4551 [4552, 4551] by Super 5 with 4801 at 1,2
% 18.54/5.01 Id : 11868, {_}: rd (mult ?9649 ?9649) (rd unit ?9650) =>= rd ?9649 (ld ?9650 (rd unit ?9649)) [9650, 9649] by Super 11845 with 5050 at 2,2
% 18.54/5.01 Id : 1028, {_}: rd (mult ?97 (mult ?97 (mult ?98 ?99))) ?99 =>= mult ?97 (mult ?97 ?98) [99, 98, 97] by Demod 40 with 52 at 1,2
% 18.54/5.01 Id : 4552, {_}: rd (mult ?4110 (mult ?4110 unit)) (rd unit ?4111) =>= mult ?4110 (mult ?4110 ?4111) [4111, 4110] by Super 1028 with 4494 at 2,2,1,2
% 18.54/5.01 Id : 4617, {_}: rd (mult ?4110 ?4110) (rd unit ?4111) =>= mult ?4110 (mult ?4110 ?4111) [4111, 4110] by Demod 4552 with 6 at 2,1,2
% 18.54/5.01 Id : 12079, {_}: mult ?9649 (mult ?9649 ?9650) =<= rd ?9649 (ld ?9650 (rd unit ?9649)) [9650, 9649] by Demod 11868 with 4617 at 2
% 18.54/5.01 Id : 13955, {_}: rd (ld ?10628 (rd unit ?10629)) ?10629 =>= rd unit (mult ?10629 (mult ?10629 ?10628)) [10629, 10628] by Super 5316 with 12079 at 2,3
% 18.54/5.01 Id : 13958, {_}: rd (ld ?10637 ?10638) (ld ?10638 unit) =<= rd unit (mult (ld ?10638 unit) (mult (ld ?10638 unit) ?10637)) [10638, 10637] by Super 13955 with 20 at 2,1,2
% 18.54/5.01 Id : 14111, {_}: rd (ld ?10637 ?10638) (rd unit ?10638) =<= rd unit (mult (ld ?10638 unit) (mult (ld ?10638 unit) ?10637)) [10638, 10637] by Demod 13958 with 4434 at 2,2
% 18.54/5.01 Id : 14112, {_}: rd (ld ?10637 ?10638) (rd unit ?10638) =<= rd unit (mult (rd unit ?10638) (mult (ld ?10638 unit) ?10637)) [10638, 10637] by Demod 14111 with 4434 at 1,2,3
% 18.54/5.01 Id : 14113, {_}: rd (ld ?10637 ?10638) (rd unit ?10638) =<= rd unit (mult (rd unit ?10638) (mult (rd unit ?10638) ?10637)) [10638, 10637] by Demod 14112 with 4434 at 1,2,2,3
% 18.54/5.01 Id : 5420, {_}: ld (rd ?4784 ?4785) ?4786 =<= mult (rd ?4785 ?4784) ?4786 [4786, 4785, 4784] by Super 4801 with 5316 at 1,3
% 18.54/5.01 Id : 14114, {_}: rd (ld ?10637 ?10638) (rd unit ?10638) =<= rd unit (ld (rd ?10638 unit) (mult (rd unit ?10638) ?10637)) [10638, 10637] by Demod 14113 with 5420 at 2,3
% 18.54/5.01 Id : 23, {_}: rd ?60 unit =>= ?60 [60] by Super 4 with 6 at 2
% 18.54/5.01 Id : 14115, {_}: rd (ld ?10637 ?10638) (rd unit ?10638) =<= rd unit (ld ?10638 (mult (rd unit ?10638) ?10637)) [10638, 10637] by Demod 14114 with 23 at 1,2,3
% 18.54/5.01 Id : 14116, {_}: rd (ld ?10637 ?10638) (rd unit ?10638) =<= rd unit (ld ?10638 (ld (rd ?10638 unit) ?10637)) [10638, 10637] by Demod 14115 with 5420 at 2,2,3
% 18.54/5.01 Id : 14117, {_}: rd (ld ?10637 ?10638) (rd unit ?10638) =>= rd unit (ld ?10638 (ld ?10638 ?10637)) [10638, 10637] by Demod 14116 with 23 at 1,2,2,3
% 18.54/5.01 Id : 17973, {_}: ld ?12666 (mult ?12667 ?12667) =<= rd unit (ld ?12667 (ld ?12667 ?12666)) [12667, 12666] by Demod 17817 with 14117 at 3
% 18.54/5.01 Id : 18191, {_}: ld (ld ?12879 (mult ?12880 ?12880)) ?12881 =<= mult (ld ?12880 (ld ?12880 ?12879)) ?12881 [12881, 12880, 12879] by Super 4795 with 17973 at 1,2
% 18.54/5.01 Id : 140, {_}: mult ?18 (mult ?18 (mult ?19 ?20)) =<= mult (mult ?18 (mult ?18 ?19)) ?20 [20, 19, 18] by Demod 8 with 52 at 2
% 18.54/5.01 Id : 329, {_}: rd ?495 (ld ?495 unit) =>= mult ?495 ?495 [495] by Super 214 with 6 at 1,2
% 18.54/5.01 Id : 332, {_}: rd (rd unit ?501) ?501 =<= mult (rd unit ?501) (rd unit ?501) [501] by Super 329 with 15 at 2,2
% 18.54/5.01 Id : 446, {_}: mult (rd (rd unit ?593) ?593) ?594 =<= mult (rd unit ?593) (mult (rd unit ?593) ?594) [594, 593] by Super 52 with 332 at 1,2
% 18.54/5.01 Id : 1203, {_}: mult (rd unit ?1459) (mult (rd unit ?1459) (mult ?1460 ?1461)) =>= mult (mult (rd (rd unit ?1459) ?1459) ?1460) ?1461 [1461, 1460, 1459] by Super 140 with 446 at 1,3
% 18.54/5.01 Id : 1243, {_}: mult (rd (rd unit ?1459) ?1459) (mult ?1460 ?1461) =<= mult (mult (rd (rd unit ?1459) ?1459) ?1460) ?1461 [1461, 1460, 1459] by Demod 1203 with 446 at 2
% 18.54/5.01 Id : 220, {_}: rd ?338 (ld (rd ?338 ?339) ?339) =<= mult (rd ?338 ?339) (rd ?338 ?339) [339, 338] by Super 214 with 4 at 1,2
% 18.54/5.01 Id : 186, {_}: rd (mult (rd ?289 ?290) ?289) ?290 =<= mult (rd ?289 ?290) (rd ?289 ?290) [290, 289] by Super 184 with 4 at 2,1,2
% 18.54/5.01 Id : 828, {_}: rd ?1014 (ld (rd ?1014 ?1015) ?1015) =<= rd (mult (rd ?1014 ?1015) ?1014) ?1015 [1015, 1014] by Demod 220 with 186 at 3
% 18.54/5.01 Id : 841, {_}: rd unit (ld (rd unit ?1047) ?1047) =>= rd (rd unit ?1047) ?1047 [1047] by Super 828 with 6 at 1,3
% 18.54/5.01 Id : 4895, {_}: rd unit (mult ?1047 ?1047) =<= rd (rd unit ?1047) ?1047 [1047] by Demod 841 with 4795 at 2,2
% 18.54/5.01 Id : 4907, {_}: mult (rd unit (mult ?1459 ?1459)) (mult ?1460 ?1461) =<= mult (mult (rd (rd unit ?1459) ?1459) ?1460) ?1461 [1461, 1460, 1459] by Demod 1243 with 4895 at 1,2
% 18.54/5.01 Id : 4908, {_}: mult (rd unit (mult ?1459 ?1459)) (mult ?1460 ?1461) =<= mult (mult (rd unit (mult ?1459 ?1459)) ?1460) ?1461 [1461, 1460, 1459] by Demod 4907 with 4895 at 1,1,3
% 18.54/5.01 Id : 5011, {_}: ld (mult ?1459 ?1459) (mult ?1460 ?1461) =<= mult (mult (rd unit (mult ?1459 ?1459)) ?1460) ?1461 [1461, 1460, 1459] by Demod 4908 with 4801 at 2
% 18.54/5.01 Id : 5012, {_}: ld (mult ?1459 ?1459) (mult ?1460 ?1461) =<= mult (ld (mult ?1459 ?1459) ?1460) ?1461 [1461, 1460, 1459] by Demod 5011 with 4801 at 1,3
% 18.54/5.01 Id : 185, {_}: rd (mult ?286 ?287) (ld ?286 ?287) =>= mult ?286 ?286 [287, 286] by Super 184 with 2 at 2,1,2
% 18.54/5.01 Id : 682, {_}: ld (mult ?854 ?854) (mult ?854 ?855) =>= ld ?854 ?855 [855, 854] by Super 15 with 185 at 1,2
% 18.54/5.01 Id : 683, {_}: ld (mult ?857 ?857) ?858 =>= ld ?857 (ld ?857 ?858) [858, 857] by Super 682 with 2 at 2,2
% 18.54/5.01 Id : 5021, {_}: ld ?1459 (ld ?1459 (mult ?1460 ?1461)) =<= mult (ld (mult ?1459 ?1459) ?1460) ?1461 [1461, 1460, 1459] by Demod 5012 with 683 at 2
% 18.54/5.02 Id : 5022, {_}: ld ?1459 (ld ?1459 (mult ?1460 ?1461)) =<= mult (ld ?1459 (ld ?1459 ?1460)) ?1461 [1461, 1460, 1459] by Demod 5021 with 683 at 1,3
% 18.54/5.02 Id : 21615, {_}: ld (ld ?15420 (mult ?15421 ?15421)) ?15422 =>= ld ?15421 (ld ?15421 (mult ?15420 ?15422)) [15422, 15421, 15420] by Demod 18191 with 5022 at 3
% 18.54/5.02 Id : 11838, {_}: ld (rd ?9565 ?9566) (mult ?9565 ?9565) =>= rd ?9566 (rd unit ?9565) [9566, 9565] by Super 15 with 7528 at 1,2
% 18.54/5.02 Id : 21630, {_}: ld (rd ?15479 (rd unit ?15480)) ?15481 =<= ld ?15480 (ld ?15480 (mult (rd ?15480 ?15479) ?15481)) [15481, 15480, 15479] by Super 21615 with 11838 at 1,2
% 18.54/5.02 Id : 124786, {_}: ld (rd ?84515 (rd unit ?84516)) ?84517 =<= ld ?84516 (ld ?84516 (ld (rd ?84515 ?84516) ?84517)) [84517, 84516, 84515] by Demod 21630 with 5420 at 2,2,3
% 18.54/5.02 Id : 124797, {_}: ld (rd (mult ?84555 ?84555) (rd unit (rd unit ?84556))) ?84557 =<= ld (rd unit ?84556) (ld (rd unit ?84556) (ld (mult ?84555 (mult ?84555 ?84556)) ?84557)) [84557, 84556, 84555] by Super 124786 with 4617 at 1,2,2,3
% 18.54/5.02 Id : 125109, {_}: ld (mult ?84555 (mult ?84555 (rd unit ?84556))) ?84557 =<= ld (rd unit ?84556) (ld (rd unit ?84556) (ld (mult ?84555 (mult ?84555 ?84556)) ?84557)) [84557, 84556, 84555] by Demod 124797 with 4617 at 1,2
% 18.54/5.02 Id : 125110, {_}: ld (mult ?84555 (mult ?84555 (rd unit ?84556))) ?84557 =<= mult ?84556 (ld (rd unit ?84556) (ld (mult ?84555 (mult ?84555 ?84556)) ?84557)) [84557, 84556, 84555] by Demod 125109 with 4795 at 3
% 18.54/5.02 Id : 38, {_}: mult (mult ?89 ?89) (mult ?90 (ld (mult ?89 (mult ?89 ?90)) ?91)) =>= ?91 [91, 90, 89] by Super 2 with 8 at 2
% 18.54/5.02 Id : 236, {_}: mult ?89 (mult ?89 (mult ?90 (ld (mult ?89 (mult ?89 ?90)) ?91))) =>= ?91 [91, 90, 89] by Demod 38 with 52 at 2
% 18.54/5.02 Id : 688, {_}: ld (mult ?870 ?870) ?871 =<= ld ?870 (mult ?870 (mult ?872 (ld (mult ?870 (mult ?870 ?872)) ?871))) [872, 871, 870] by Super 682 with 236 at 2,2
% 18.54/5.02 Id : 710, {_}: ld (mult ?870 ?870) ?871 =<= mult ?872 (ld (mult ?870 (mult ?870 ?872)) ?871) [872, 871, 870] by Demod 688 with 3 at 3
% 18.54/5.02 Id : 73335, {_}: ld ?870 (ld ?870 ?871) =<= mult ?872 (ld (mult ?870 (mult ?870 ?872)) ?871) [872, 871, 870] by Demod 710 with 683 at 2
% 18.54/5.02 Id : 73370, {_}: ld ?45836 (ld ?45837 (ld ?45837 ?45838)) =<= ld (mult ?45837 (mult ?45837 ?45836)) ?45838 [45838, 45837, 45836] by Super 3 with 73335 at 2,2
% 18.54/5.02 Id : 125111, {_}: ld (rd unit ?84556) (ld ?84555 (ld ?84555 ?84557)) =<= mult ?84556 (ld (rd unit ?84556) (ld (mult ?84555 (mult ?84555 ?84556)) ?84557)) [84557, 84555, 84556] by Demod 125110 with 73370 at 2
% 18.54/5.02 Id : 125112, {_}: ld (rd unit ?84556) (ld ?84555 (ld ?84555 ?84557)) =<= mult ?84556 (mult ?84556 (ld (mult ?84555 (mult ?84555 ?84556)) ?84557)) [84557, 84555, 84556] by Demod 125111 with 4795 at 2,3
% 18.54/5.02 Id : 125113, {_}: mult ?84556 (ld ?84555 (ld ?84555 ?84557)) =<= mult ?84556 (mult ?84556 (ld (mult ?84555 (mult ?84555 ?84556)) ?84557)) [84557, 84555, 84556] by Demod 125112 with 4795 at 2
% 18.54/5.02 Id : 73787, {_}: ld ?46572 (ld ?46573 (ld ?46573 ?46574)) =<= ld (mult ?46573 (mult ?46573 ?46572)) ?46574 [46574, 46573, 46572] by Super 3 with 73335 at 2,2
% 18.54/5.02 Id : 18214, {_}: ld ?12963 (mult ?12964 ?12964) =<= rd unit (ld ?12964 (ld ?12964 ?12963)) [12964, 12963] by Demod 17817 with 14117 at 3
% 18.54/5.02 Id : 18221, {_}: ld ?12983 (mult (rd unit ?12984) (rd unit ?12984)) =>= rd unit (ld (rd unit ?12984) (mult ?12984 ?12983)) [12984, 12983] by Super 18214 with 4795 at 2,2,3
% 18.54/5.02 Id : 18395, {_}: ld ?12983 (ld (rd ?12984 unit) (rd unit ?12984)) =>= rd unit (ld (rd unit ?12984) (mult ?12984 ?12983)) [12984, 12983] by Demod 18221 with 5420 at 2,2
% 18.54/5.02 Id : 18396, {_}: ld ?12983 (ld (rd ?12984 unit) (rd unit ?12984)) =>= rd unit (mult ?12984 (mult ?12984 ?12983)) [12984, 12983] by Demod 18395 with 4795 at 2,3
% 18.54/5.02 Id : 820, {_}: rd ?338 (ld (rd ?338 ?339) ?339) =<= rd (mult (rd ?338 ?339) ?338) ?339 [339, 338] by Demod 220 with 186 at 3
% 18.54/5.02 Id : 821, {_}: rd ?289 (ld (rd ?289 ?290) ?290) =<= mult (rd ?289 ?290) (rd ?289 ?290) [290, 289] by Demod 186 with 820 at 2
% 18.54/5.02 Id : 6013, {_}: rd ?289 (ld (rd ?289 ?290) ?290) =<= ld (rd ?290 ?289) (rd ?289 ?290) [290, 289] by Demod 821 with 5420 at 3
% 18.54/5.02 Id : 18397, {_}: ld ?12983 (rd unit (ld (rd unit ?12984) ?12984)) =>= rd unit (mult ?12984 (mult ?12984 ?12983)) [12984, 12983] by Demod 18396 with 6013 at 2,2
% 18.54/5.02 Id : 18398, {_}: ld ?12983 (rd unit (mult ?12984 ?12984)) =>= rd unit (mult ?12984 (mult ?12984 ?12983)) [12984, 12983] by Demod 18397 with 4795 at 2,2,2
% 18.54/5.02 Id : 19145, {_}: mult ?13581 (rd unit (mult ?13582 (mult ?13582 ?13581))) =>= rd unit (mult ?13582 ?13582) [13582, 13581] by Super 2 with 18398 at 2,2
% 18.54/5.02 Id : 73794, {_}: ld (rd unit (mult ?46598 (mult ?46598 ?46599))) (ld ?46599 (ld ?46599 ?46600)) =>= ld (mult ?46599 (rd unit (mult ?46598 ?46598))) ?46600 [46600, 46599, 46598] by Super 73787 with 19145 at 2,1,3
% 18.54/5.02 Id : 74125, {_}: mult (mult ?46598 (mult ?46598 ?46599)) (ld ?46599 (ld ?46599 ?46600)) =>= ld (mult ?46599 (rd unit (mult ?46598 ?46598))) ?46600 [46600, 46599, 46598] by Demod 73794 with 4795 at 2
% 18.54/5.02 Id : 19150, {_}: rd unit (mult ?13595 (mult ?13595 (rd unit ?13596))) =>= mult ?13596 (rd unit (mult ?13595 ?13595)) [13596, 13595] by Super 4795 with 18398 at 2
% 18.54/5.02 Id : 5491, {_}: rd (mult ?4813 ?4813) (rd ?4814 ?4815) =<= rd (mult ?4813 (mult ?4813 ?4815)) ?4814 [4815, 4814, 4813] by Demod 5490 with 1037 at 3
% 18.54/5.02 Id : 7416, {_}: rd (mult ?1171 ?1171) (rd ?1173 ?1172) =<= mult ?1171 (mult ?1171 (rd ?1172 ?1173)) [1172, 1173, 1171] by Demod 1037 with 5491 at 2
% 18.54/5.02 Id : 19236, {_}: rd unit (rd (mult ?13595 ?13595) (rd ?13596 unit)) =>= mult ?13596 (rd unit (mult ?13595 ?13595)) [13596, 13595] by Demod 19150 with 7416 at 2,2
% 18.54/5.02 Id : 19237, {_}: rd (rd ?13596 unit) (mult ?13595 ?13595) =<= mult ?13596 (rd unit (mult ?13595 ?13595)) [13595, 13596] by Demod 19236 with 5316 at 2
% 18.54/5.02 Id : 6464, {_}: rd (rd unit ?5951) (mult ?5952 ?5952) =>= rd unit (mult ?5952 (mult ?5952 ?5951)) [5952, 5951] by Super 5316 with 4617 at 2,3
% 18.54/5.02 Id : 6482, {_}: rd (rd ?6002 ?6003) (mult ?6004 ?6004) =<= rd unit (mult ?6004 (mult ?6004 (rd ?6003 ?6002))) [6004, 6003, 6002] by Super 6464 with 5316 at 1,2
% 18.54/5.02 Id : 6601, {_}: rd (rd ?6002 ?6003) (mult ?6004 ?6004) =<= rd unit (rd (mult ?6004 (mult ?6004 ?6003)) ?6002) [6004, 6003, 6002] by Demod 6482 with 1037 at 2,3
% 18.54/5.02 Id : 6602, {_}: rd (rd ?6002 ?6003) (mult ?6004 ?6004) =>= rd ?6002 (mult ?6004 (mult ?6004 ?6003)) [6004, 6003, 6002] by Demod 6601 with 5316 at 3
% 18.54/5.02 Id : 19238, {_}: rd ?13596 (mult ?13595 (mult ?13595 unit)) =<= mult ?13596 (rd unit (mult ?13595 ?13595)) [13595, 13596] by Demod 19237 with 6602 at 2
% 18.54/5.02 Id : 19239, {_}: rd ?13596 (mult ?13595 ?13595) =<= mult ?13596 (rd unit (mult ?13595 ?13595)) [13595, 13596] by Demod 19238 with 6 at 2,2,2
% 18.54/5.02 Id : 74126, {_}: mult (mult ?46598 (mult ?46598 ?46599)) (ld ?46599 (ld ?46599 ?46600)) =>= ld (rd ?46599 (mult ?46598 ?46598)) ?46600 [46600, 46599, 46598] by Demod 74125 with 19239 at 1,3
% 18.54/5.02 Id : 74127, {_}: mult ?46598 (mult ?46598 (mult ?46599 (ld ?46599 (ld ?46599 ?46600)))) =>= ld (rd ?46599 (mult ?46598 ?46598)) ?46600 [46600, 46599, 46598] by Demod 74126 with 140 at 2
% 18.54/5.02 Id : 74128, {_}: mult ?46598 (mult ?46598 (ld ?46599 ?46600)) =>= ld (rd ?46599 (mult ?46598 ?46598)) ?46600 [46600, 46599, 46598] by Demod 74127 with 2 at 2,2,2
% 18.54/5.02 Id : 125114, {_}: mult ?84556 (ld ?84555 (ld ?84555 ?84557)) =<= ld (rd (mult ?84555 (mult ?84555 ?84556)) (mult ?84556 ?84556)) ?84557 [84557, 84555, 84556] by Demod 125113 with 74128 at 3
% 18.54/5.02 Id : 125115, {_}: mult ?84556 (ld ?84555 (ld ?84555 ?84557)) =<= ld (rd (mult ?84555 ?84555) (rd (mult ?84556 ?84556) ?84556)) ?84557 [84557, 84555, 84556] by Demod 125114 with 5491 at 1,3
% 18.54/5.02 Id : 125939, {_}: mult ?85769 (ld ?85770 (ld ?85770 ?85771)) =>= ld (rd (mult ?85770 ?85770) ?85769) ?85771 [85771, 85770, 85769] by Demod 125115 with 5 at 2,1,3
% 18.54/5.02 Id : 125946, {_}: mult ?85796 (ld (rd unit ?85797) (mult ?85797 ?85798)) =<= ld (rd (mult (rd unit ?85797) (rd unit ?85797)) ?85796) ?85798 [85798, 85797, 85796] by Super 125939 with 4795 at 2,2,2
% 18.54/5.02 Id : 126269, {_}: mult ?85796 (mult ?85797 (mult ?85797 ?85798)) =<= ld (rd (mult (rd unit ?85797) (rd unit ?85797)) ?85796) ?85798 [85798, 85797, 85796] by Demod 125946 with 4795 at 2,2
% 18.54/5.02 Id : 126270, {_}: mult ?85796 (mult ?85797 (mult ?85797 ?85798)) =<= ld (rd (ld (rd ?85797 unit) (rd unit ?85797)) ?85796) ?85798 [85798, 85797, 85796] by Demod 126269 with 5420 at 1,1,3
% 18.54/5.02 Id : 126271, {_}: mult ?85796 (mult ?85797 (mult ?85797 ?85798)) =<= ld (rd (rd unit (ld (rd unit ?85797) ?85797)) ?85796) ?85798 [85798, 85797, 85796] by Demod 126270 with 6013 at 1,1,3
% 18.54/5.02 Id : 12198, {_}: rd (mult ?9840 ?9840) ?9841 =<= rd ?9840 (mult ?9841 (rd unit ?9840)) [9841, 9840] by Super 11845 with 5 at 2,2
% 18.54/5.02 Id : 12213, {_}: rd (mult (rd ?9881 ?9882) (rd ?9881 ?9882)) ?9883 =>= rd (rd ?9881 ?9882) (mult ?9883 (rd ?9882 ?9881)) [9883, 9882, 9881] by Super 12198 with 5316 at 2,2,3
% 18.54/5.02 Id : 12516, {_}: rd (ld (rd ?9882 ?9881) (rd ?9881 ?9882)) ?9883 =>= rd (rd ?9881 ?9882) (mult ?9883 (rd ?9882 ?9881)) [9883, 9881, 9882] by Demod 12213 with 5420 at 1,2
% 18.54/5.02 Id : 12517, {_}: rd (rd ?9881 (ld (rd ?9881 ?9882) ?9882)) ?9883 =>= rd (rd ?9881 ?9882) (mult ?9883 (rd ?9882 ?9881)) [9883, 9882, 9881] by Demod 12516 with 6013 at 1,2
% 18.54/5.02 Id : 126272, {_}: mult ?85796 (mult ?85797 (mult ?85797 ?85798)) =<= ld (rd (rd unit ?85797) (mult ?85796 (rd ?85797 unit))) ?85798 [85798, 85797, 85796] by Demod 126271 with 12517 at 1,3
% 18.54/5.02 Id : 126273, {_}: mult ?85796 (mult ?85797 (mult ?85797 ?85798)) =<= ld (rd (rd unit ?85797) (mult ?85796 ?85797)) ?85798 [85798, 85797, 85796] by Demod 126272 with 23 at 2,2,1,3
% 18.54/5.02 Id : 4794, {_}: rd ?4270 (mult ?4271 ?4270) =>= rd unit ?4271 [4271, 4270] by Super 5 with 4782 at 1,2
% 18.54/5.02 Id : 17827, {_}: ld (rd unit ?12691) (mult ?12692 ?12692) =>= rd (mult ?12691 ?12692) (rd unit ?12692) [12692, 12691] by Super 17809 with 4794 at 1,2
% 18.54/5.02 Id : 18003, {_}: mult ?12691 (mult ?12692 ?12692) =<= rd (mult ?12691 ?12692) (rd unit ?12692) [12692, 12691] by Demod 17827 with 4795 at 2
% 18.54/5.02 Id : 11861, {_}: rd (mult ?9632 ?9632) ?9633 =<= rd ?9632 (mult ?9633 (rd unit ?9632)) [9633, 9632] by Super 11845 with 5 at 2,2
% 18.54/5.02 Id : 12162, {_}: rd (mult ?9746 (rd unit ?9747)) ?9747 =>= rd unit (rd (mult ?9747 ?9747) ?9746) [9747, 9746] by Super 5316 with 11861 at 2,3
% 18.54/5.02 Id : 13250, {_}: rd (mult ?10274 (rd unit ?10275)) ?10275 =>= rd ?10274 (mult ?10275 ?10275) [10275, 10274] by Demod 12162 with 5316 at 3
% 18.54/5.02 Id : 13253, {_}: rd (mult ?10283 ?10284) (ld ?10284 unit) =<= rd ?10283 (mult (ld ?10284 unit) (ld ?10284 unit)) [10284, 10283] by Super 13250 with 20 at 2,1,2
% 18.54/5.02 Id : 13350, {_}: rd (mult ?10283 ?10284) (rd unit ?10284) =<= rd ?10283 (mult (ld ?10284 unit) (ld ?10284 unit)) [10284, 10283] by Demod 13253 with 4434 at 2,2
% 18.54/5.02 Id : 13351, {_}: rd (mult ?10283 ?10284) (rd unit ?10284) =<= rd ?10283 (mult (rd unit ?10284) (ld ?10284 unit)) [10284, 10283] by Demod 13350 with 4434 at 1,2,3
% 18.54/5.02 Id : 13352, {_}: rd (mult ?10283 ?10284) (rd unit ?10284) =<= rd ?10283 (mult (rd unit ?10284) (rd unit ?10284)) [10284, 10283] by Demod 13351 with 4434 at 2,2,3
% 18.54/5.02 Id : 13353, {_}: rd (mult ?10283 ?10284) (rd unit ?10284) =<= rd ?10283 (ld (rd ?10284 unit) (rd unit ?10284)) [10284, 10283] by Demod 13352 with 5420 at 2,3
% 18.54/5.02 Id : 13354, {_}: rd (mult ?10283 ?10284) (rd unit ?10284) =<= rd ?10283 (rd unit (ld (rd unit ?10284) ?10284)) [10284, 10283] by Demod 13353 with 6013 at 2,3
% 18.54/5.02 Id : 13355, {_}: rd (mult ?10283 ?10284) (rd unit ?10284) =>= rd ?10283 (rd unit (mult ?10284 ?10284)) [10284, 10283] by Demod 13354 with 4795 at 2,2,3
% 18.54/5.02 Id : 18004, {_}: mult ?12691 (mult ?12692 ?12692) =<= rd ?12691 (rd unit (mult ?12692 ?12692)) [12692, 12691] by Demod 18003 with 13355 at 3
% 18.54/5.02 Id : 18463, {_}: rd (rd unit (mult ?13091 ?13091)) ?13092 =>= rd unit (mult ?13092 (mult ?13091 ?13091)) [13092, 13091] by Super 5316 with 18004 at 2,3
% 18.54/5.02 Id : 12201, {_}: rd (mult (ld ?9849 unit) (ld ?9849 unit)) ?9850 =>= rd (ld ?9849 unit) (mult ?9850 ?9849) [9850, 9849] by Super 12198 with 20 at 2,2,3
% 18.54/5.02 Id : 12438, {_}: rd (mult (rd unit ?9849) (ld ?9849 unit)) ?9850 =>= rd (ld ?9849 unit) (mult ?9850 ?9849) [9850, 9849] by Demod 12201 with 4434 at 1,1,2
% 18.54/5.02 Id : 12439, {_}: rd (mult (rd unit ?9849) (rd unit ?9849)) ?9850 =>= rd (ld ?9849 unit) (mult ?9850 ?9849) [9850, 9849] by Demod 12438 with 4434 at 2,1,2
% 18.54/5.02 Id : 12440, {_}: rd (mult (rd unit ?9849) (rd unit ?9849)) ?9850 =>= rd (rd unit ?9849) (mult ?9850 ?9849) [9850, 9849] by Demod 12439 with 4434 at 1,3
% 18.54/5.02 Id : 12441, {_}: rd (ld (rd ?9849 unit) (rd unit ?9849)) ?9850 =>= rd (rd unit ?9849) (mult ?9850 ?9849) [9850, 9849] by Demod 12440 with 5420 at 1,2
% 18.54/5.02 Id : 12442, {_}: rd (rd unit (ld (rd unit ?9849) ?9849)) ?9850 =>= rd (rd unit ?9849) (mult ?9850 ?9849) [9850, 9849] by Demod 12441 with 6013 at 1,2
% 18.54/5.02 Id : 12443, {_}: rd (rd unit (mult ?9849 ?9849)) ?9850 =>= rd (rd unit ?9849) (mult ?9850 ?9849) [9850, 9849] by Demod 12442 with 4795 at 2,1,2
% 18.54/5.02 Id : 18731, {_}: rd (rd unit ?13091) (mult ?13092 ?13091) =>= rd unit (mult ?13092 (mult ?13091 ?13091)) [13092, 13091] by Demod 18463 with 12443 at 2
% 18.54/5.02 Id : 126274, {_}: mult ?85796 (mult ?85797 (mult ?85797 ?85798)) =<= ld (rd unit (mult ?85796 (mult ?85797 ?85797))) ?85798 [85798, 85797, 85796] by Demod 126273 with 18731 at 1,3
% 18.54/5.02 Id : 126275, {_}: mult ?85796 (mult ?85797 (mult ?85797 ?85798)) =<= mult (mult ?85796 (mult ?85797 ?85797)) ?85798 [85798, 85797, 85796] by Demod 126274 with 4795 at 3
% 18.54/5.02 Id : 127475, {_}: mult a (mult b (mult b c)) =?= mult a (mult b (mult b c)) [] by Demod 1 with 126275 at 3
% 18.54/5.02 Id : 1, {_}: mult a (mult b (mult b c)) =<= mult (mult a (mult b b)) c [] by goals
% 18.54/5.02 % SZS output end CNFRefutation for theBenchmark.p
% 18.54/5.02 10291: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 4.689651 using kbo
%------------------------------------------------------------------------------