TSTP Solution File: GRP679-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP679-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n020.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 10:31:33 EDT 2022
% Result : Unsatisfiable 5.79s 1.77s
% Output : CNFRefutation 5.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP679-1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 21:50:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 17152: Facts:
% 0.13/0.34 17152: Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 0.13/0.34 17152: Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 0.13/0.34 17152: Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 0.13/0.34 17152: Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 0.13/0.34 17152: Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 0.13/0.34 17152: Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 0.13/0.34 17152: Id : 8, {_}:
% 0.13/0.34 mult ?18 (mult ?19 (mult ?18 ?20))
% 0.13/0.34 =?=
% 0.13/0.34 mult (mult ?18 (mult ?19 ?18)) ?20
% 0.13/0.34 [20, 19, 18] by c07 ?18 ?19 ?20
% 0.13/0.34 17152: Id : 9, {_}: mult op_c ?22 =?= mult ?22 op_c [22] by c08 ?22
% 0.13/0.34 17152: Goal:
% 0.13/0.34 17152: Id : 1, {_}: mult (mult op_c op_c) a =>= mult a (mult op_c op_c) [] by goals
% 5.79/1.77 Statistics :
% 5.79/1.77 Max weight : 14
% 5.79/1.77 Statistics :
% 5.79/1.77 Max weight : 22
% 5.79/1.77 Found proof, 1.421967s
% 5.79/1.77 Found proof, 1.421842s
% 5.79/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 5.79/1.77 % SZS output start CNFRefutation for theBenchmark.p
% 5.79/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 5.79/1.77 % SZS output start CNFRefutation for theBenchmark.p
% 5.79/1.77 Id : 20, {_}: rd (mult ?51 ?52) ?52 =>= ?51 [52, 51] by c04 ?51 ?52
% 5.79/1.77 Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 5.79/1.77 Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 5.79/1.77 Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 5.79/1.77 Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 5.79/1.77 Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 5.79/1.77 Id : 9, {_}: mult op_c ?22 =?= mult ?22 op_c [22] by c08 ?22
% 5.79/1.77 Id : 20, {_}: rd (mult ?51 ?52) ?52 =>= ?51 [52, 51] by c04 ?51 ?52
% 5.79/1.77 Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 5.79/1.77 Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 5.79/1.77 Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 5.79/1.77 Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 5.79/1.77 Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 5.79/1.77 Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 5.79/1.77 Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 5.79/1.77 Id : 9, {_}: mult op_c ?22 =?= mult ?22 op_c [22] by c08 ?22
% 5.79/1.77 Id : 42, {_}: mult ?103 (mult ?104 (mult ?103 ?105)) =<= mult (mult ?103 (mult ?104 ?103)) ?105 [105, 104, 103] by c07 ?103 ?104 ?105
% 5.79/1.77 Id : 8, {_}: mult ?18 (mult ?19 (mult ?18 ?20)) =?= mult (mult ?18 (mult ?19 ?18)) ?20 [20, 19, 18] by c07 ?18 ?19 ?20
% 5.79/1.77 Id : 272, {_}: mult op_c (mult ?451 (mult op_c ?452)) =<= mult (mult op_c (mult op_c ?451)) ?452 [452, 451] by Super 8 with 9 at 2,1,3
% 5.79/1.77 Id : 46, {_}: mult ?118 (mult unit (mult ?118 ?119)) =>= mult (mult ?118 ?118) ?119 [119, 118] by Super 42 with 7 at 2,1,3
% 5.79/1.77 Id : 274, {_}: mult op_c (mult unit (mult op_c ?457)) =>= mult (mult op_c op_c) ?457 [457] by Super 272 with 6 at 2,1,3
% 5.79/1.77 Id : 57, {_}: mult ?118 (mult ?118 ?119) =<= mult (mult ?118 ?118) ?119 [119, 118] by Demod 46 with 7 at 2,2
% 5.79/1.77 Id : 44, {_}: mult ?111 (mult (rd ?112 ?111) (mult ?111 ?113)) =>= mult (mult ?111 ?112) ?113 [113, 112, 111] by Super 42 with 4 at 2,1,3
% 5.79/1.77 Id : 288, {_}: mult op_c (mult op_c ?457) =<= mult (mult op_c op_c) ?457 [457] by Demod 274 with 7 at 2,2
% 5.79/1.77 Id : 78, {_}: rd (mult op_c ?203) op_c =>= ?203 [203] by Super 5 with 9 at 1,2
% 5.79/1.77 Id : 81, {_}: mult op_c (rd ?209 op_c) =>= ?209 [209] by Super 4 with 9 at 2
% 5.79/1.77 Id : 18359, {_}: ld ?15486 (mult (mult ?15486 ?15487) ?15488) =<= mult (rd ?15487 ?15486) (mult ?15486 ?15488) [15488, 15487, 15486] by Super 3 with 44 at 2,2
% 5.79/1.77 Id : 276, {_}: mult op_c (mult (rd ?462 op_c) (mult op_c ?463)) =>= mult (mult op_c ?462) ?463 [463, 462] by Super 272 with 81 at 2,1,3
% 5.79/1.77 Id : 18379, {_}: ld ?15560 (mult (mult ?15560 ?15561) op_c) =<= mult (rd ?15561 ?15560) (mult op_c ?15560) [15561, 15560] by Super 18359 with 9 at 2,3
% 5.79/1.77 Id : 18585, {_}: ld ?15560 (mult op_c (mult ?15560 ?15561)) =<= mult (rd ?15561 ?15560) (mult op_c ?15560) [15561, 15560] by Demod 18379 with 9 at 2,2
% 5.79/1.77 Id : 66, {_}: rd (mult op_c ?147) op_c =>= ?147 [147] by Super 5 with 9 at 1,2
% 5.79/1.77 Id : 591, {_}: rd (mult (mult op_c ?731) ?732) op_c =<= mult (rd ?731 op_c) (mult op_c ?732) [732, 731] by Super 78 with 276 at 1,2
% 5.79/1.77 Id : 594, {_}: rd (mult (mult op_c ?739) ?740) op_c =<= mult (rd ?739 op_c) (mult ?740 op_c) [740, 739] by Super 591 with 9 at 2,3
% 5.79/1.77 Id : 2289, {_}: mult ?2857 (mult (rd ?2858 ?2857) (mult ?2857 ?2859)) =>= mult (mult ?2857 ?2858) ?2859 [2859, 2858, 2857] by Super 42 with 4 at 2,1,3
% 5.79/1.77 Id : 555, {_}: mult op_c (mult (rd ?683 op_c) (mult op_c ?684)) =>= mult (mult op_c ?683) ?684 [684, 683] by Super 272 with 81 at 2,1,3
% 5.79/1.77 Id : 22891, {_}: mult ?18966 (mult (rd ?18967 ?18966) ?18968) =<= mult (mult ?18966 ?18967) (ld ?18966 ?18968) [18968, 18967, 18966] by Super 2289 with 2 at 2,2,2
% 5.79/1.77 Id : 22925, {_}: mult ?19075 (mult (rd unit ?19075) ?19076) =>= mult ?19075 (ld ?19075 ?19076) [19076, 19075] by Super 22891 with 6 at 1,3
% 5.79/1.77 Id : 633, {_}: mult op_c (mult (rd ?780 op_c) ?781) =<= mult (mult op_c ?780) (rd ?781 op_c) [781, 780] by Super 555 with 81 at 2,2,2
% 5.79/1.77 Id : 23078, {_}: mult ?19075 (mult (rd unit ?19075) ?19076) =>= ?19076 [19076, 19075] by Demod 22925 with 2 at 3
% 5.79/1.77 Id : 968, {_}: mult op_c (mult (rd ?1053 op_c) ?1054) =<= mult (mult ?1053 op_c) (rd ?1054 op_c) [1054, 1053] by Super 633 with 9 at 1,3
% 5.79/1.77 Id : 641, {_}: mult op_c (mult (rd unit op_c) ?800) =>= mult op_c (rd ?800 op_c) [800] by Super 633 with 6 at 1,3
% 5.79/1.77 Id : 23509, {_}: ld ?19674 ?19675 =<= mult (rd unit ?19674) ?19675 [19675, 19674] by Super 3 with 23078 at 2,2
% 5.79/1.77 Id : 669, {_}: mult op_c (mult (rd unit op_c) ?800) =>= ?800 [800] by Demod 641 with 81 at 3
% 5.79/1.77 Id : 23951, {_}: mult op_c (rd unit ?20081) =>= ld ?20081 op_c [20081] by Super 9 with 23509 at 3
% 5.79/1.77 Id : 24414, {_}: rd (ld ?20448 op_c) op_c =>= rd unit ?20448 [20448] by Super 66 with 23951 at 1,2
% 5.79/1.77 Id : 687, {_}: rd ?838 op_c =<= mult (rd unit op_c) ?838 [838] by Super 78 with 669 at 1,2
% 5.79/1.77 Id : 24889, {_}: ld op_c (mult op_c (mult op_c (ld ?20693 op_c))) =>= mult (rd unit ?20693) (mult op_c op_c) [20693] by Super 18585 with 24414 at 1,3
% 5.79/1.77 Id : 982, {_}: mult op_c (mult (rd (rd unit op_c) op_c) ?1089) =>= mult (rd op_c op_c) (rd ?1089 op_c) [1089] by Super 968 with 687 at 1,3
% 5.79/1.77 Id : 30, {_}: rd ?74 ?74 =>= unit [74] by Super 5 with 7 at 1,2
% 5.79/1.77 Id : 1019, {_}: mult op_c (mult (rd (rd unit op_c) op_c) ?1089) =>= mult unit (rd ?1089 op_c) [1089] by Demod 982 with 30 at 1,3
% 5.79/1.77 Id : 24986, {_}: mult op_c (ld ?20693 op_c) =<= mult (rd unit ?20693) (mult op_c op_c) [20693] by Demod 24889 with 3 at 2
% 5.79/1.77 Id : 25308, {_}: mult op_c (ld ?21049 op_c) =>= ld ?21049 (mult op_c op_c) [21049] by Demod 24986 with 23509 at 3
% 5.79/1.77 Id : 24434, {_}: mult op_c (rd unit ?20491) =>= ld ?20491 op_c [20491] by Super 9 with 23509 at 3
% 5.79/1.77 Id : 1020, {_}: mult op_c (mult (rd (rd unit op_c) op_c) ?1089) =>= rd ?1089 op_c [1089] by Demod 1019 with 7 at 3
% 5.79/1.77 Id : 21, {_}: rd ?54 (ld ?55 ?54) =>= ?55 [55, 54] by Super 20 with 2 at 1,2
% 5.79/1.77 Id : 1036, {_}: rd (rd ?1106 op_c) op_c =<= mult (rd (rd unit op_c) op_c) ?1106 [1106] by Super 78 with 1020 at 1,2
% 5.79/1.77 Id : 1158, {_}: rd (rd (rd ?1203 op_c) op_c) ?1203 =>= rd (rd unit op_c) op_c [1203] by Super 5 with 1036 at 1,2
% 5.79/1.77 Id : 77, {_}: rd (mult ?201 op_c) ?201 =>= op_c [201] by Super 5 with 9 at 1,2
% 5.79/1.77 Id : 24437, {_}: mult op_c ?20497 =<= ld (ld ?20497 unit) op_c [20497] by Super 24434 with 21 at 2,2
% 5.79/1.77 Id : 23946, {_}: ld ?20068 unit =>= rd unit ?20068 [20068] by Super 6 with 23509 at 2
% 5.79/1.77 Id : 24537, {_}: mult op_c ?20497 =<= ld (rd unit ?20497) op_c [20497] by Demod 24437 with 23946 at 1,3
% 5.79/1.77 Id : 1161, {_}: rd (rd op_c op_c) (mult op_c op_c) =>= rd (rd unit op_c) op_c [] by Super 1158 with 77 at 1,1,2
% 5.79/1.77 Id : 25325, {_}: mult op_c (mult op_c ?21072) =<= ld (rd unit ?21072) (mult op_c op_c) [21072] by Super 25308 with 24537 at 2,2
% 5.79/1.77 Id : 1204, {_}: rd unit (mult op_c op_c) =<= rd (rd unit op_c) op_c [] by Demod 1161 with 30 at 1,2
% 5.79/1.77 Id : 1227, {_}: mult op_c (rd unit (mult op_c op_c)) =>= rd unit op_c [] by Super 81 with 1204 at 2,2
% 5.79/1.77 Id : 23548, {_}: mult ?19784 (mult (rd unit ?19784) ?19785) =>= ?19785 [19785, 19784] by Demod 22925 with 2 at 3
% 5.79/1.77 Id : 23569, {_}: mult ?19830 ?19831 =<= ld (rd unit ?19830) ?19831 [19831, 19830] by Super 23548 with 2 at 2,2
% 5.79/1.77 Id : 33082, {_}: mult op_c (mult op_c ?21072) =?= mult ?21072 (mult op_c op_c) [21072] by Demod 25325 with 23569 at 3
% 5.79/1.77 Id : 33617, {_}: mult a (mult op_c op_c) =?= mult a (mult op_c op_c) [] by Demod 33616 with 33082 at 2
% 5.79/1.77 Id : 1275, {_}: mult (rd unit (mult op_c op_c)) (mult op_c (mult (rd unit (mult op_c op_c)) ?1256)) =>= mult (mult (rd unit (mult op_c op_c)) (rd unit op_c)) ?1256 [1256] by Super 8 with 1227 at 2,1,3
% 5.79/1.77 Id : 33616, {_}: mult op_c (mult op_c a) =>= mult a (mult op_c op_c) [] by Demod 1 with 57 at 2
% 5.79/1.77 Id : 1216, {_}: rd (rd ?1106 op_c) op_c =<= mult (rd unit (mult op_c op_c)) ?1106 [1106] by Demod 1036 with 1204 at 1,3
% 5.79/1.77 Id : 1, {_}: mult (mult op_c op_c) a =>= mult a (mult op_c op_c) [] by goals
% 5.79/1.77 % SZS output end CNFRefutation for theBenchmark.p
% 5.79/1.77 17153: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 1.423008 using kbo
% 5.79/1.77 Id : 1284, {_}: rd (rd (mult op_c (mult (rd unit (mult op_c op_c)) ?1256)) op_c) op_c =>= mult (mult (rd unit (mult op_c op_c)) (rd unit op_c)) ?1256 [1256] by Demod 1275 with 1216 at 2
% 5.79/1.77 Id : 1285, {_}: rd (rd (mult op_c (mult (rd unit (mult op_c op_c)) ?1256)) op_c) op_c =>= mult (rd (rd (rd unit op_c) op_c) op_c) ?1256 [1256] by Demod 1284 with 1216 at 1,3
% 5.79/1.77 Id : 1286, {_}: rd (mult (rd unit (mult op_c op_c)) ?1256) op_c =<= mult (rd (rd (rd unit op_c) op_c) op_c) ?1256 [1256] by Demod 1285 with 78 at 1,2
% 5.79/1.77 Id : 1287, {_}: rd (mult (rd unit (mult op_c op_c)) ?1256) op_c =<= mult (rd (rd unit (mult op_c op_c)) op_c) ?1256 [1256] by Demod 1286 with 1204 at 1,1,3
% 5.79/1.77 Id : 1288, {_}: rd (rd (rd ?1256 op_c) op_c) op_c =<= mult (rd (rd unit (mult op_c op_c)) op_c) ?1256 [1256] by Demod 1287 with 1216 at 1,2
% 5.79/1.77 Id : 4319, {_}: rd (rd (rd (rd ?2897 op_c) op_c) op_c) ?2897 =>= rd (rd unit (mult op_c op_c)) op_c [2897] by Super 5 with 1288 at 1,2
% 5.79/1.77 Id : 4320, {_}: rd (rd (rd ?2899 op_c) op_c) (mult ?2899 op_c) =>= rd (rd unit (mult op_c op_c)) op_c [2899] by Super 4319 with 5 at 1,1,1,2
% 5.79/1.77 Id : 4322, {_}: rd (rd (rd op_c op_c) op_c) (mult op_c op_c) =>= rd (rd unit (mult op_c op_c)) op_c [] by Super 4319 with 77 at 1,1,1,2
% 5.79/1.77 Id : 720, {_}: rd (rd ?874 op_c) ?874 =>= rd unit op_c [874] by Super 5 with 687 at 1,2
% 5.79/1.77 Id : 4482, {_}: rd (rd unit op_c) (mult op_c op_c) =<= rd (rd unit (mult op_c op_c)) op_c [] by Demod 4322 with 720 at 1,2
% 5.79/1.77 Id : 297, {_}: rd (mult op_c (mult op_c ?491)) ?491 =>= mult op_c op_c [491] by Super 5 with 288 at 1,2
% 5.79/1.77 Id : 4324, {_}: rd (rd (rd (mult op_c op_c) op_c) op_c) (mult op_c (mult op_c op_c)) =>= rd (rd unit (mult op_c op_c)) op_c [] by Super 4319 with 297 at 1,1,1,2
% 5.79/1.77 Id : 4483, {_}: rd (rd op_c op_c) (mult op_c (mult op_c op_c)) =>= rd (rd unit (mult op_c op_c)) op_c [] by Demod 4324 with 5 at 1,1,2
% 5.79/1.77 Id : 4484, {_}: rd unit (mult op_c (mult op_c op_c)) =<= rd (rd unit (mult op_c op_c)) op_c [] by Demod 4483 with 30 at 1,2
% 5.79/1.77 Id : 4641, {_}: rd unit (mult op_c (mult op_c op_c)) =<= rd (rd unit op_c) (mult op_c op_c) [] by Demod 4484 with 4482 at 3
% 5.79/1.77 Id : 4642, {_}: rd unit (mult op_c (mult op_c op_c)) =<= rd (rd unit (mult op_c op_c)) op_c [] by Demod 4482 with 4641 at 2
% 5.79/1.77 Id : 6468, {_}: rd (rd (rd ?3589 op_c) op_c) (mult ?3589 op_c) =>= rd unit (mult op_c (mult op_c op_c)) [3589] by Demod 4320 with 4642 at 3
% 5.79/1.77 Id : 84, {_}: mult op_c (mult ?215 (mult op_c ?216)) =<= mult (mult op_c (mult op_c ?215)) ?216 [216, 215] by Super 8 with 9 at 2,1,3
% 5.79/1.77 Id : 6473, {_}: rd (rd (rd (mult op_c (mult op_c ?3599)) op_c) op_c) (mult op_c (mult ?3599 (mult op_c op_c))) =>= rd unit (mult op_c (mult op_c op_c)) [3599] by Super 6468 with 84 at 2,2
% 5.79/1.77 Id : 6503, {_}: rd (rd (mult op_c ?3599) op_c) (mult op_c (mult ?3599 (mult op_c op_c))) =>= rd unit (mult op_c (mult op_c op_c)) [3599] by Demod 6473 with 78 at 1,1,2
% 5.79/1.77 Id : 6504, {_}: rd ?3599 (mult op_c (mult ?3599 (mult op_c op_c))) =>= rd unit (mult op_c (mult op_c op_c)) [3599] by Demod 6503 with 78 at 1,2
% 5.79/1.77 Id : 7771, {_}: mult (rd unit (mult op_c (mult op_c op_c))) (mult op_c (mult ?4223 (mult op_c op_c))) =>= ?4223 [4223] by Super 4 with 6504 at 1,2
% 5.79/1.77 Id : 4515, {_}: rd (rd (rd ?1256 op_c) op_c) op_c =<= mult (rd (rd unit op_c) (mult op_c op_c)) ?1256 [1256] by Demod 1288 with 4482 at 1,3
% 5.79/1.77 Id : 4644, {_}: rd (rd (rd ?1256 op_c) op_c) op_c =<= mult (rd unit (mult op_c (mult op_c op_c))) ?1256 [1256] by Demod 4515 with 4641 at 1,3
% 5.79/1.77 Id : 7792, {_}: rd (rd (rd (mult op_c (mult ?4223 (mult op_c op_c))) op_c) op_c) op_c =>= ?4223 [4223] by Demod 7771 with 4644 at 2
% 5.79/1.77 Id : 7793, {_}: rd (rd (mult ?4223 (mult op_c op_c)) op_c) op_c =>= ?4223 [4223] by Demod 7792 with 78 at 1,1,2
% 5.79/1.77 Id : 7947, {_}: rd (mult (mult op_c (rd (mult ?4308 (mult op_c op_c)) op_c)) ?4309) op_c =>= mult ?4308 (mult ?4309 op_c) [4309, 4308] by Super 594 with 7793 at 1,3
% 5.79/1.77 Id : 8025, {_}: rd (mult (mult ?4308 (mult op_c op_c)) ?4309) op_c =>= mult ?4308 (mult ?4309 op_c) [4309, 4308] by Demod 7947 with 81 at 1,1,2
% 5.79/1.77 Id : 548, {_}: rd (mult (mult op_c ?660) ?661) op_c =<= mult (rd ?660 op_c) (mult op_c ?661) [661, 660] by Super 78 with 276 at 1,2
% 5.79/1.77 Id : 7958, {_}: rd (mult (mult op_c (rd (mult ?4332 (mult op_c op_c)) op_c)) ?4333) op_c =>= mult ?4332 (mult op_c ?4333) [4333, 4332] by Super 548 with 7793 at 1,3
% 5.79/1.77 Id : 8022, {_}: rd (mult (mult ?4332 (mult op_c op_c)) ?4333) op_c =>= mult ?4332 (mult op_c ?4333) [4333, 4332] by Demod 7958 with 81 at 1,1,2
% 5.79/1.77 Id : 10445, {_}: mult op_c (mult ?5661 (mult op_c ?5662)) =<= mult (mult ?5661 (mult op_c op_c)) ?5662 [5662, 5661] by Super 81 with 8022 at 2,2
% 5.79/1.77 Id : 10951, {_}: rd (mult op_c (mult ?4308 (mult op_c ?4309))) op_c =>= mult ?4308 (mult ?4309 op_c) [4309, 4308] by Demod 8025 with 10445 at 1,2
% 5.79/1.77 Id : 10952, {_}: mult ?4308 (mult op_c ?4309) =?= mult ?4308 (mult ?4309 op_c) [4309, 4308] by Demod 10951 with 78 at 2
% 5.79/1.77 Id : 21, {_}: rd ?54 (ld ?55 ?54) =>= ?55 [55, 54] by Super 20 with 2 at 1,2
% 5.79/1.77 Id : 16, {_}: ld (rd ?40 ?41) ?40 =>= ?41 [41, 40] by Super 3 with 4 at 2,2
% 5.79/1.77 Id : 24661, {_}: rd (mult op_c (mult ?12224 (mult op_c ?12225))) ?12225 =>= mult op_c (mult op_c ?12224) [12225, 12224] by Super 5 with 84 at 1,2
% 5.79/1.77 Id : 24682, {_}: rd (mult op_c ?12279) ?12280 =<= mult op_c (mult op_c (rd ?12279 (mult op_c ?12280))) [12280, 12279] by Super 24661 with 4 at 2,1,2
% 5.79/1.77 Id : 25021, {_}: rd (rd (mult op_c ?12477) ?12478) op_c =<= mult op_c (rd ?12477 (mult op_c ?12478)) [12478, 12477] by Super 78 with 24682 at 1,2
% 5.79/1.77 Id : 38117, {_}: rd (rd (rd (mult op_c ?20229) ?20230) op_c) op_c =>= rd ?20229 (mult op_c ?20230) [20230, 20229] by Super 78 with 25021 at 1,2
% 5.79/1.77 Id : 1742, {_}: mult op_c (mult (rd (rd ?1551 op_c) op_c) ?1552) =>= mult ?1551 (rd ?1552 op_c) [1552, 1551] by Super 633 with 81 at 1,3
% 5.79/1.77 Id : 1757, {_}: mult op_c (rd (rd ?1585 op_c) op_c) =>= mult ?1585 (rd unit op_c) [1585] by Super 1742 with 6 at 2,2
% 5.79/1.77 Id : 1812, {_}: rd ?1585 op_c =<= mult ?1585 (rd unit op_c) [1585] by Demod 1757 with 81 at 2
% 5.79/1.77 Id : 1842, {_}: mult ?1620 (mult ?1621 (mult ?1620 (rd unit op_c))) =>= rd (mult ?1620 (mult ?1621 ?1620)) op_c [1621, 1620] by Super 8 with 1812 at 3
% 5.79/1.77 Id : 2793, {_}: mult ?2173 (mult ?2174 (rd ?2173 op_c)) =>= rd (mult ?2173 (mult ?2174 ?2173)) op_c [2174, 2173] by Demod 1842 with 1812 at 2,2,2
% 5.79/1.77 Id : 2811, {_}: mult ?2218 (rd (rd ?2218 op_c) op_c) =<= rd (mult ?2218 (mult (rd unit op_c) ?2218)) op_c [2218] by Super 2793 with 687 at 2,2
% 5.79/1.77 Id : 2948, {_}: mult ?2218 (rd (rd ?2218 op_c) op_c) =>= rd (mult ?2218 (rd ?2218 op_c)) op_c [2218] by Demod 2811 with 687 at 2,1,3
% 5.79/1.77 Id : 2804, {_}: mult ?2199 (rd ?2199 op_c) =<= rd (mult ?2199 (mult unit ?2199)) op_c [2199] by Super 2793 with 7 at 2,2
% 5.79/1.77 Id : 2943, {_}: mult ?2199 (rd ?2199 op_c) =>= rd (mult ?2199 ?2199) op_c [2199] by Demod 2804 with 7 at 2,1,3
% 5.79/1.77 Id : 3391, {_}: mult ?2218 (rd (rd ?2218 op_c) op_c) =>= rd (rd (mult ?2218 ?2218) op_c) op_c [2218] by Demod 2948 with 2943 at 1,3
% 5.79/1.77 Id : 38125, {_}: rd (rd (rd (rd (rd (mult op_c op_c) op_c) op_c) ?20250) op_c) op_c =>= rd (rd (rd op_c op_c) op_c) (mult op_c ?20250) [20250] by Super 38117 with 3391 at 1,1,1,2
% 5.79/1.77 Id : 38283, {_}: rd (rd (rd (rd op_c op_c) ?20250) op_c) op_c =>= rd (rd (rd op_c op_c) op_c) (mult op_c ?20250) [20250] by Demod 38125 with 5 at 1,1,1,1,2
% 5.79/1.77 Id : 38284, {_}: rd (rd (rd (rd op_c op_c) ?20250) op_c) op_c =>= rd (rd unit op_c) (mult op_c ?20250) [20250] by Demod 38283 with 720 at 1,3
% 5.79/1.77 Id : 38534, {_}: rd (rd (rd unit ?20569) op_c) op_c =>= rd (rd unit op_c) (mult op_c ?20569) [20569] by Demod 38284 with 30 at 1,1,1,2
% 5.79/1.77 Id : 38535, {_}: rd (rd ?20571 op_c) op_c =<= rd (rd unit op_c) (mult op_c (ld ?20571 unit)) [20571] by Super 38534 with 21 at 1,1,2
% 5.79/1.77 Id : 39781, {_}: ld (rd (rd ?21210 op_c) op_c) (rd unit op_c) =>= mult op_c (ld ?21210 unit) [21210] by Super 16 with 38535 at 1,2
% 5.79/1.77 Id : 39782, {_}: ld (rd ?21212 op_c) (rd unit op_c) =<= mult op_c (ld (mult ?21212 op_c) unit) [21212] by Super 39781 with 5 at 1,1,2
% 5.79/1.77 Id : 42440, {_}: rd (ld (rd ?22946 op_c) (rd unit op_c)) op_c =>= ld (mult ?22946 op_c) unit [22946] by Super 78 with 39782 at 1,2
% 5.79/1.77 Id : 42441, {_}: rd (ld ?22948 (rd unit op_c)) op_c =<= ld (mult (mult ?22948 op_c) op_c) unit [22948] by Super 42440 with 5 at 1,1,2
% 5.79/1.77 Id : 42527, {_}: rd (ld ?22948 (rd unit op_c)) op_c =<= ld (mult op_c (mult ?22948 op_c)) unit [22948] by Demod 42441 with 9 at 1,3
% 5.79/1.77 Id : 42706, {_}: rd unit (rd (ld ?23048 (rd unit op_c)) op_c) =>= mult op_c (mult ?23048 op_c) [23048] by Super 21 with 42527 at 2,2
% 5.79/1.77 Id : 7951, {_}: mult op_c ?4318 =<= rd (mult ?4318 (mult op_c op_c)) op_c [4318] by Super 81 with 7793 at 2,2
% 5.79/1.77 Id : 39818, {_}: ld (rd (mult op_c ?21271) op_c) (rd unit op_c) =<= mult op_c (ld (mult ?21271 (mult op_c op_c)) unit) [21271] by Super 39781 with 7951 at 1,1,2
% 5.79/1.77 Id : 39917, {_}: ld ?21271 (rd unit op_c) =<= mult op_c (ld (mult ?21271 (mult op_c op_c)) unit) [21271] by Demod 39818 with 78 at 1,2
% 5.79/1.77 Id : 41628, {_}: rd (ld ?22379 (rd unit op_c)) op_c =<= ld (mult ?22379 (mult op_c op_c)) unit [22379] by Super 78 with 39917 at 1,2
% 5.79/1.77 Id : 41878, {_}: rd unit (rd (ld ?22513 (rd unit op_c)) op_c) =>= mult ?22513 (mult op_c op_c) [22513] by Super 21 with 41628 at 2,2
% 5.79/1.77 Id : 45022, {_}: mult ?23048 (mult op_c op_c) =?= mult op_c (mult ?23048 op_c) [23048] by Demod 42706 with 41878 at 2
% 5.79/1.77 Id : 45517, {_}: mult a (mult op_c op_c) === mult a (mult op_c op_c) [] by Demod 45516 with 45022 at 2
% 5.79/1.77 Id : 45516, {_}: mult op_c (mult a op_c) =>= mult a (mult op_c op_c) [] by Demod 45515 with 10952 at 2
% 5.79/1.77 Id : 45515, {_}: mult op_c (mult op_c a) =>= mult a (mult op_c op_c) [] by Demod 1 with 288 at 2
% 5.79/1.77 Id : 1, {_}: mult (mult op_c op_c) a =>= mult a (mult op_c op_c) [] by goals
% 5.79/1.77 % SZS output end CNFRefutation for theBenchmark.p
% 5.79/1.77 17155: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 1.425767 using nrkbo
%------------------------------------------------------------------------------