TSTP Solution File: GRP767-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP767-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n028.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 10:31:55 EDT 2022
% Result : Unsatisfiable 13.81s 3.81s
% Output : CNFRefutation 13.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP767-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n028.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 20:46:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 10764: Facts:
% 0.13/0.35 10764: Id : 2, {_}: product ?2 one =>= ?2 [2] by sos01 ?2
% 0.13/0.35 10764: Id : 3, {_}: product one ?4 =>= ?4 [4] by sos02 ?4
% 0.13/0.35 10764: Id : 4, {_}: product ?6 (difference ?6 ?7) =>= ?7 [7, 6] by sos03 ?6 ?7
% 0.13/0.35 10764: Id : 5, {_}: difference ?9 (product ?9 ?10) =>= ?10 [10, 9] by sos04 ?9 ?10
% 0.13/0.35 10764: Id : 6, {_}: quotient (product ?12 ?13) ?13 =>= ?12 [13, 12] by sos05 ?12 ?13
% 0.13/0.35 10764: Id : 7, {_}: product (quotient ?15 ?16) ?16 =>= ?15 [16, 15] by sos06 ?15 ?16
% 0.13/0.35 10764: Id : 8, {_}:
% 0.13/0.35 difference ?18 (product (product ?18 ?19) ?20)
% 0.13/0.35 =<=
% 0.13/0.35 quotient (product ?19 (product ?20 ?18)) ?18
% 0.13/0.35 [20, 19, 18] by sos07 ?18 ?19 ?20
% 0.13/0.35 10764: Id : 9, {_}:
% 0.13/0.35 difference (product ?22 ?23) (product ?22 (product ?23 ?24))
% 0.13/0.35 =<=
% 0.13/0.35 quotient (quotient (product ?24 (product ?22 ?23)) ?23) ?22
% 0.13/0.35 [24, 23, 22] by sos08 ?22 ?23 ?24
% 0.13/0.35 10764: Id : 10, {_}: i ?26 =<= difference ?26 one [26] by sos09 ?26
% 0.13/0.35 10764: Id : 11, {_}: j ?28 =<= quotient one ?28 [28] by sos10 ?28
% 0.13/0.35 10764: Id : 12, {_}: product (i ?30) ?30 =?= product ?30 (j ?30) [30] by sos11 ?30
% 0.13/0.35 10764: Id : 13, {_}: eta ?32 =<= product (i ?32) ?32 [32] by sos12 ?32
% 0.13/0.35 10764: Id : 14, {_}:
% 0.13/0.35 product (i (i ?34)) ?35 =<= product (eta ?34) (product ?34 ?35)
% 0.13/0.35 [35, 34] by sos13 ?34 ?35
% 0.13/0.35 10764: Id : 15, {_}:
% 0.13/0.35 product ?37 (product (eta ?37) ?38) =>= product (j (j ?37)) ?38
% 0.13/0.35 [38, 37] by sos14 ?37 ?38
% 0.13/0.35 10764: Id : 16, {_}:
% 0.13/0.35 product ?40 (product ?41 (eta ?40))
% 0.13/0.35 =?=
% 0.13/0.35 product (product ?40 ?41) (eta ?40)
% 0.13/0.35 [41, 40] by sos15 ?40 ?41
% 0.13/0.35 10764: Id : 17, {_}:
% 0.13/0.35 product (eta ?43) (product ?44 ?45)
% 0.13/0.35 =<=
% 0.13/0.35 product (product (eta ?43) ?44) ?45
% 0.13/0.35 [45, 44, 43] by sos16 ?43 ?44 ?45
% 0.13/0.35 10764: Id : 18, {_}:
% 0.13/0.35 l ?47 ?48 ?49
% 0.13/0.35 =<=
% 0.13/0.35 difference (product ?47 ?48) (product ?47 (product ?48 ?49))
% 0.13/0.35 [49, 48, 47] by sos17 ?47 ?48 ?49
% 0.13/0.35 10764: Id : 19, {_}:
% 0.13/0.35 l ?51 ?51 (product ?52 ?53)
% 0.13/0.35 =<=
% 0.13/0.35 product (l ?51 ?51 ?52) (l ?51 ?51 ?53)
% 0.13/0.35 [53, 52, 51] by sos18 ?51 ?52 ?53
% 0.13/0.35 10764: Id : 20, {_}:
% 0.13/0.35 t ?55 ?56 =<= quotient (product ?55 ?56) ?55
% 0.13/0.35 [56, 55] by sos19 ?55 ?56
% 0.13/0.35 10764: Id : 21, {_}:
% 0.13/0.35 t (eta ?58) (product ?59 ?60)
% 0.13/0.35 =<=
% 0.13/0.35 product (t (eta ?58) ?59) (t (eta ?58) ?60)
% 0.13/0.35 [60, 59, 58] by sos20 ?58 ?59 ?60
% 0.13/0.35 10764: Goal:
% 0.13/0.35 10764: Id : 1, {_}: product (j (j x0)) (j (product x1 x0)) =>= j x1 [] by goals
% 13.81/3.81 Statistics :
% 13.81/3.81 Max weight : 21
% 13.81/3.81 Found proof, 3.467833s
% 13.81/3.81 % SZS status Unsatisfiable for theBenchmark.p
% 13.81/3.81 % SZS output start CNFRefutation for theBenchmark.p
% 13.81/3.81 Id : 15, {_}: product ?37 (product (eta ?37) ?38) =>= product (j (j ?37)) ?38 [38, 37] by sos14 ?37 ?38
% 13.81/3.82 Id : 14, {_}: product (i (i ?34)) ?35 =<= product (eta ?34) (product ?34 ?35) [35, 34] by sos13 ?34 ?35
% 13.81/3.82 Id : 18, {_}: l ?47 ?48 ?49 =<= difference (product ?47 ?48) (product ?47 (product ?48 ?49)) [49, 48, 47] by sos17 ?47 ?48 ?49
% 13.81/3.82 Id : 3, {_}: product one ?4 =>= ?4 [4] by sos02 ?4
% 13.81/3.82 Id : 6, {_}: quotient (product ?12 ?13) ?13 =>= ?12 [13, 12] by sos05 ?12 ?13
% 13.81/3.82 Id : 33, {_}: difference ?84 (product ?84 ?85) =>= ?85 [85, 84] by sos04 ?84 ?85
% 13.81/3.82 Id : 122, {_}: product (i (i ?259)) ?260 =<= product (eta ?259) (product ?259 ?260) [260, 259] by sos13 ?259 ?260
% 13.81/3.82 Id : 16, {_}: product ?40 (product ?41 (eta ?40)) =<= product (product ?40 ?41) (eta ?40) [41, 40] by sos15 ?40 ?41
% 13.81/3.82 Id : 2, {_}: product ?2 one =>= ?2 [2] by sos01 ?2
% 13.81/3.82 Id : 142, {_}: product ?308 (product (eta ?308) ?309) =>= product (j (j ?308)) ?309 [309, 308] by sos14 ?308 ?309
% 13.81/3.82 Id : 5, {_}: difference ?9 (product ?9 ?10) =>= ?10 [10, 9] by sos04 ?9 ?10
% 13.81/3.82 Id : 17, {_}: product (eta ?43) (product ?44 ?45) =<= product (product (eta ?43) ?44) ?45 [45, 44, 43] by sos16 ?43 ?44 ?45
% 13.81/3.82 Id : 51, {_}: difference ?130 (product (product ?130 ?131) ?132) =<= quotient (product ?131 (product ?132 ?130)) ?130 [132, 131, 130] by sos07 ?130 ?131 ?132
% 13.81/3.82 Id : 7, {_}: product (quotient ?15 ?16) ?16 =>= ?15 [16, 15] by sos06 ?15 ?16
% 13.81/3.82 Id : 13, {_}: eta ?32 =<= product (i ?32) ?32 [32] by sos12 ?32
% 13.81/3.82 Id : 12, {_}: product (i ?30) ?30 =>= product ?30 (j ?30) [30] by sos11 ?30
% 13.81/3.82 Id : 8, {_}: difference ?18 (product (product ?18 ?19) ?20) =<= quotient (product ?19 (product ?20 ?18)) ?18 [20, 19, 18] by sos07 ?18 ?19 ?20
% 13.81/3.82 Id : 9, {_}: difference (product ?22 ?23) (product ?22 (product ?23 ?24)) =<= quotient (quotient (product ?24 (product ?22 ?23)) ?23) ?22 [24, 23, 22] by sos08 ?22 ?23 ?24
% 13.81/3.82 Id : 10, {_}: i ?26 =<= difference ?26 one [26] by sos09 ?26
% 13.81/3.82 Id : 4, {_}: product ?6 (difference ?6 ?7) =>= ?7 [7, 6] by sos03 ?6 ?7
% 13.81/3.82 Id : 38, {_}: quotient (product ?96 ?97) ?97 =>= ?96 [97, 96] by sos05 ?96 ?97
% 13.81/3.82 Id : 11, {_}: j ?28 =<= quotient one ?28 [28] by sos10 ?28
% 13.81/3.82 Id : 41, {_}: quotient ?103 (difference ?104 ?103) =>= ?104 [104, 103] by Super 38 with 4 at 1,2
% 13.81/3.82 Id : 474, {_}: j (difference ?863 one) =>= ?863 [863] by Super 11 with 41 at 3
% 13.81/3.82 Id : 483, {_}: j (i ?863) =>= ?863 [863] by Demod 474 with 10 at 1,2
% 13.81/3.82 Id : 68, {_}: difference (product ?163 ?164) (product ?163 (product ?164 ?165)) =<= quotient (difference ?164 (product (product ?164 ?165) ?163)) ?163 [165, 164, 163] by Demod 9 with 8 at 1,3
% 13.81/3.82 Id : 71, {_}: difference (product ?173 ?174) (product ?173 (product ?174 (difference ?174 ?175))) =>= quotient (difference ?174 (product ?175 ?173)) ?173 [175, 174, 173] by Super 68 with 4 at 1,2,1,3
% 13.81/3.82 Id : 7022, {_}: difference (product ?7637 ?7638) (product ?7637 ?7639) =<= quotient (difference ?7638 (product ?7639 ?7637)) ?7637 [7639, 7638, 7637] by Demod 71 with 4 at 2,2,2
% 13.81/3.82 Id : 105, {_}: eta ?32 =<= product ?32 (j ?32) [32] by Demod 13 with 12 at 3
% 13.81/3.82 Id : 106, {_}: product (i ?30) ?30 =>= eta ?30 [30] by Demod 12 with 105 at 3
% 13.81/3.82 Id : 7031, {_}: difference (product ?7670 ?7671) (product ?7670 (i ?7670)) =>= quotient (difference ?7671 (eta ?7670)) ?7670 [7671, 7670] by Super 7022 with 106 at 2,1,3
% 13.81/3.82 Id : 87, {_}: product ?192 (i ?192) =>= one [192] by Super 4 with 10 at 2,2
% 13.81/3.82 Id : 7104, {_}: difference (product ?7670 ?7671) one =<= quotient (difference ?7671 (eta ?7670)) ?7670 [7671, 7670] by Demod 7031 with 87 at 2,2
% 13.81/3.82 Id : 7105, {_}: i (product ?7670 ?7671) =<= quotient (difference ?7671 (eta ?7670)) ?7670 [7671, 7670] by Demod 7104 with 10 at 2
% 13.81/3.82 Id : 35265, {_}: product (i (product ?33439 ?33440)) ?33439 =>= difference ?33440 (eta ?33439) [33440, 33439] by Super 7 with 7105 at 1,2
% 13.81/3.82 Id : 35268, {_}: product (i ?33446) ?33447 =<= difference (difference ?33447 ?33446) (eta ?33447) [33447, 33446] by Super 35265 with 4 at 1,1,2
% 13.81/3.82 Id : 46956, {_}: quotient (eta ?40781) (product (i ?40782) ?40781) =>= difference ?40781 ?40782 [40782, 40781] by Super 41 with 35268 at 2,2
% 13.81/3.82 Id : 55, {_}: difference ?144 (product (product ?144 ?145) (quotient ?146 ?144)) =>= quotient (product ?145 ?146) ?144 [146, 145, 144] by Super 51 with 7 at 2,1,3
% 13.81/3.82 Id : 50, {_}: product (difference ?126 (product (product ?126 ?127) ?128)) ?126 =>= product ?127 (product ?128 ?126) [128, 127, 126] by Super 7 with 8 at 1,2
% 13.81/3.82 Id : 876, {_}: product (difference ?1342 (product (product ?1342 ?1343) ?1344)) ?1342 =>= product ?1343 (product ?1344 ?1342) [1344, 1343, 1342] by Super 7 with 8 at 1,2
% 13.81/3.82 Id : 900, {_}: product (difference (eta ?1430) (product (eta ?1430) (product ?1431 ?1432))) (eta ?1430) =>= product ?1431 (product ?1432 (eta ?1430)) [1432, 1431, 1430] by Super 876 with 17 at 2,1,2
% 13.81/3.82 Id : 925, {_}: product (product ?1431 ?1432) (eta ?1430) =>= product ?1431 (product ?1432 (eta ?1430)) [1430, 1432, 1431] by Demod 900 with 5 at 1,2
% 13.81/3.82 Id : 5834, {_}: product (difference ?6406 (product ?6406 (product ?6407 (eta ?6408)))) ?6406 =>= product ?6407 (product (eta ?6408) ?6406) [6408, 6407, 6406] by Super 50 with 925 at 2,1,2
% 13.81/3.82 Id : 5920, {_}: product (product ?6407 (eta ?6408)) ?6406 =>= product ?6407 (product (eta ?6408) ?6406) [6406, 6408, 6407] by Demod 5834 with 5 at 1,2
% 13.81/3.82 Id : 11604, {_}: difference ?11178 (product ?11178 (product (eta ?11179) (quotient ?11180 ?11178))) =>= quotient (product (eta ?11179) ?11180) ?11178 [11180, 11179, 11178] by Super 55 with 5920 at 2,2
% 13.81/3.82 Id : 29755, {_}: product (eta ?27461) (quotient ?27462 ?27463) =>= quotient (product (eta ?27461) ?27462) ?27463 [27463, 27462, 27461] by Demod 11604 with 5 at 2
% 13.81/3.82 Id : 29774, {_}: product (eta ?27524) (j ?27525) =<= quotient (product (eta ?27524) one) ?27525 [27525, 27524] by Super 29755 with 11 at 2,2
% 13.81/3.82 Id : 90, {_}: product (j ?198) ?198 =>= one [198] by Super 7 with 11 at 1,2
% 13.81/3.82 Id : 7030, {_}: difference (product ?7667 ?7668) (product ?7667 (j ?7667)) =>= quotient (difference ?7668 one) ?7667 [7668, 7667] by Super 7022 with 90 at 2,1,3
% 13.81/3.82 Id : 7102, {_}: difference (product ?7667 ?7668) (eta ?7667) =>= quotient (difference ?7668 one) ?7667 [7668, 7667] by Demod 7030 with 105 at 2,2
% 13.81/3.82 Id : 13058, {_}: difference (product ?12137 ?12138) (eta ?12137) =>= quotient (i ?12138) ?12137 [12138, 12137] by Demod 7102 with 10 at 1,3
% 13.81/3.82 Id : 143, {_}: product ?311 (eta ?311) =?= product (j (j ?311)) one [311] by Super 142 with 2 at 2,2
% 13.81/3.82 Id : 152, {_}: product ?311 (eta ?311) =>= j (j ?311) [311] by Demod 143 with 2 at 3
% 13.81/3.82 Id : 1317, {_}: difference ?1819 (j (j ?1819)) =>= eta ?1819 [1819] by Super 5 with 152 at 2,2
% 13.81/3.82 Id : 1319, {_}: difference (i ?1822) (j ?1822) =>= eta (i ?1822) [1822] by Super 1317 with 483 at 1,2,2
% 13.81/3.82 Id : 490, {_}: eta (i ?885) =<= product (i ?885) ?885 [885] by Super 105 with 483 at 2,3
% 13.81/3.82 Id : 494, {_}: eta (i ?885) =>= eta ?885 [885] by Demod 490 with 106 at 3
% 13.81/3.82 Id : 1337, {_}: difference (i ?1822) (j ?1822) =>= eta ?1822 [1822] by Demod 1319 with 494 at 3
% 13.81/3.82 Id : 147, {_}: product ?322 (eta (eta ?322)) =<= product (j (j ?322)) (j (eta ?322)) [322] by Super 142 with 105 at 2,2
% 13.81/3.82 Id : 2959, {_}: product (j (j ?3367)) (product (j (eta ?3367)) (eta (j (j ?3367)))) =>= product (product ?3367 (eta (eta ?3367))) (eta (j (j ?3367))) [3367] by Super 16 with 147 at 1,3
% 13.81/3.82 Id : 589, {_}: difference (j ?1012) one =>= ?1012 [1012] by Super 5 with 90 at 2,2
% 13.81/3.82 Id : 599, {_}: i (j ?1012) =>= ?1012 [1012] by Demod 589 with 10 at 2
% 13.81/3.82 Id : 613, {_}: eta ?1027 =<= eta (j ?1027) [1027] by Super 494 with 599 at 1,2
% 13.81/3.82 Id : 2982, {_}: product (j (j ?3367)) (product (j (eta ?3367)) (eta (j ?3367))) =>= product (product ?3367 (eta (eta ?3367))) (eta (j (j ?3367))) [3367] by Demod 2959 with 613 at 2,2,2
% 13.81/3.82 Id : 2983, {_}: product (j (j ?3367)) (product (j (eta ?3367)) (eta (j ?3367))) =>= product (product ?3367 (eta (eta ?3367))) (eta (j ?3367)) [3367] by Demod 2982 with 613 at 2,3
% 13.81/3.82 Id : 2984, {_}: product (j (j ?3367)) (product (j (eta ?3367)) (eta ?3367)) =>= product (product ?3367 (eta (eta ?3367))) (eta (j ?3367)) [3367] by Demod 2983 with 613 at 2,2,2
% 13.81/3.82 Id : 2985, {_}: product (j (j ?3367)) (product (j (eta ?3367)) (eta ?3367)) =>= product (product ?3367 (eta (eta ?3367))) (eta ?3367) [3367] by Demod 2984 with 613 at 2,3
% 13.81/3.82 Id : 2986, {_}: product (j (j ?3367)) one =<= product (product ?3367 (eta (eta ?3367))) (eta ?3367) [3367] by Demod 2985 with 90 at 2,2
% 13.81/3.82 Id : 2987, {_}: product (j (j ?3367)) one =<= product ?3367 (product (eta (eta ?3367)) (eta ?3367)) [3367] by Demod 2986 with 16 at 3
% 13.81/3.82 Id : 2988, {_}: j (j ?3367) =<= product ?3367 (product (eta (eta ?3367)) (eta ?3367)) [3367] by Demod 2987 with 2 at 2
% 13.81/3.82 Id : 123, {_}: product (i (i ?262)) one =?= product (eta ?262) ?262 [262] by Super 122 with 2 at 2,3
% 13.81/3.82 Id : 133, {_}: i (i ?262) =<= product (eta ?262) ?262 [262] by Demod 123 with 2 at 2
% 13.81/3.82 Id : 2989, {_}: j (j ?3367) =<= product ?3367 (i (i (eta ?3367))) [3367] by Demod 2988 with 133 at 2,3
% 13.81/3.82 Id : 3021, {_}: difference ?3447 (j (j ?3447)) =>= i (i (eta ?3447)) [3447] by Super 5 with 2989 at 2,2
% 13.81/3.82 Id : 750, {_}: difference ?1193 (j (j ?1193)) =>= eta ?1193 [1193] by Super 5 with 152 at 2,2
% 13.81/3.82 Id : 3034, {_}: eta ?3447 =<= i (i (eta ?3447)) [3447] by Demod 3021 with 750 at 2
% 13.81/3.82 Id : 3082, {_}: difference (eta ?3525) (j (i (eta ?3525))) =>= eta (i (eta ?3525)) [3525] by Super 1337 with 3034 at 1,2
% 13.81/3.82 Id : 3133, {_}: difference (eta ?3525) (eta ?3525) =>= eta (i (eta ?3525)) [3525] by Demod 3082 with 483 at 2,2
% 13.81/3.82 Id : 3134, {_}: difference (eta ?3525) (eta ?3525) =>= eta (eta ?3525) [3525] by Demod 3133 with 494 at 3
% 13.81/3.82 Id : 34, {_}: difference ?87 ?87 =>= one [87] by Super 33 with 2 at 2,2
% 13.81/3.82 Id : 3135, {_}: one =<= eta (eta ?3525) [3525] by Demod 3134 with 34 at 2
% 13.81/3.82 Id : 13063, {_}: difference (product (eta ?12151) ?12152) one =>= quotient (i ?12152) (eta ?12151) [12152, 12151] by Super 13058 with 3135 at 2,2
% 13.81/3.82 Id : 13289, {_}: i (product (eta ?12322) ?12323) =<= quotient (i ?12323) (eta ?12322) [12323, 12322] by Demod 13063 with 10 at 2
% 13.81/3.82 Id : 13296, {_}: i (product (eta ?12341) (j ?12342)) =>= quotient ?12342 (eta ?12341) [12342, 12341] by Super 13289 with 599 at 1,3
% 13.81/3.82 Id : 13491, {_}: j (quotient ?12507 (eta ?12508)) =<= product (eta ?12508) (j ?12507) [12508, 12507] by Super 483 with 13296 at 1,2
% 13.81/3.82 Id : 29887, {_}: j (quotient ?27525 (eta ?27524)) =<= quotient (product (eta ?27524) one) ?27525 [27524, 27525] by Demod 29774 with 13491 at 2
% 13.81/3.82 Id : 30040, {_}: j (quotient ?27959 (eta ?27960)) =>= quotient (eta ?27960) ?27959 [27960, 27959] by Demod 29887 with 2 at 1,3
% 13.81/3.82 Id : 1672, {_}: difference ?2096 (product (product ?2096 ?2097) (quotient ?2098 ?2096)) =>= quotient (product ?2097 ?2098) ?2096 [2098, 2097, 2096] by Super 51 with 7 at 2,1,3
% 13.81/3.82 Id : 753, {_}: product ?1199 (eta ?1199) =>= j (j ?1199) [1199] by Demod 143 with 2 at 3
% 13.81/3.82 Id : 755, {_}: product (i ?1202) (eta ?1202) =>= j (j (i ?1202)) [1202] by Super 753 with 494 at 2,2
% 13.81/3.82 Id : 772, {_}: product (i ?1202) (eta ?1202) =>= j ?1202 [1202] by Demod 755 with 483 at 1,3
% 13.81/3.82 Id : 1597, {_}: quotient (j ?2027) (eta ?2027) =>= i ?2027 [2027] by Super 6 with 772 at 1,2
% 13.81/3.82 Id : 1599, {_}: quotient (j (i ?2030)) (eta ?2030) =>= i (i ?2030) [2030] by Super 1597 with 494 at 2,2
% 13.81/3.82 Id : 1609, {_}: quotient ?2030 (eta ?2030) =>= i (i ?2030) [2030] by Demod 1599 with 483 at 1,2
% 13.81/3.82 Id : 1682, {_}: difference (eta ?2129) (product (product (eta ?2129) ?2130) (i (i ?2129))) =>= quotient (product ?2130 ?2129) (eta ?2129) [2130, 2129] by Super 1672 with 1609 at 2,2,2
% 13.81/3.82 Id : 1738, {_}: difference (eta ?2129) (product (eta ?2129) (product ?2130 (i (i ?2129)))) =>= quotient (product ?2130 ?2129) (eta ?2129) [2130, 2129] by Demod 1682 with 17 at 2,2
% 13.81/3.82 Id : 1739, {_}: product ?2130 (i (i ?2129)) =<= quotient (product ?2130 ?2129) (eta ?2129) [2129, 2130] by Demod 1738 with 5 at 2
% 13.81/3.82 Id : 30067, {_}: j (product ?28045 (i (i ?28046))) =<= quotient (eta ?28046) (product ?28045 ?28046) [28046, 28045] by Super 30040 with 1739 at 1,2
% 13.81/3.82 Id : 54852, {_}: j (product (i ?46444) (i (i ?46445))) =>= difference ?46445 ?46444 [46445, 46444] by Demod 46956 with 30067 at 2
% 13.81/3.82 Id : 81, {_}: difference (product ?173 ?174) (product ?173 ?175) =<= quotient (difference ?174 (product ?175 ?173)) ?173 [175, 174, 173] by Demod 71 with 4 at 2,2,2
% 13.81/3.82 Id : 883, {_}: product (difference ?1369 (product one ?1370)) ?1369 =>= product (i ?1369) (product ?1370 ?1369) [1370, 1369] by Super 876 with 87 at 1,2,1,2
% 13.81/3.82 Id : 4584, {_}: product (difference ?4998 ?4999) ?4998 =<= product (i ?4998) (product ?4999 ?4998) [4999, 4998] by Demod 883 with 3 at 2,1,2
% 13.81/3.82 Id : 4592, {_}: product (difference ?5020 (j ?5020)) ?5020 =>= product (i ?5020) one [5020] by Super 4584 with 90 at 2,3
% 13.81/3.82 Id : 4657, {_}: product (difference ?5020 (j ?5020)) ?5020 =>= i ?5020 [5020] by Demod 4592 with 2 at 3
% 13.81/3.82 Id : 10914, {_}: difference (product ?10662 ?10663) (product ?10662 (difference ?10662 (j ?10662))) =>= quotient (difference ?10663 (i ?10662)) ?10662 [10663, 10662] by Super 81 with 4657 at 2,1,3
% 13.81/3.82 Id : 27325, {_}: difference (product ?25940 ?25941) (j ?25940) =<= quotient (difference ?25941 (i ?25940)) ?25940 [25941, 25940] by Demod 10914 with 4 at 2,2
% 13.81/3.82 Id : 43, {_}: difference (quotient ?108 ?109) ?108 =>= ?109 [109, 108] by Super 5 with 7 at 2,2
% 13.81/3.82 Id : 96, {_}: difference ?209 (product (product ?209 ?210) (i ?209)) =<= quotient (product ?210 (product ?209 (j ?209))) ?209 [210, 209] by Super 8 with 12 at 2,1,3
% 13.81/3.82 Id : 10176, {_}: difference ?10210 (product (product ?10210 ?10211) (i ?10210)) =>= quotient (product ?10211 (eta ?10210)) ?10210 [10211, 10210] by Demod 96 with 105 at 2,1,3
% 13.81/3.82 Id : 10179, {_}: difference (i (eta ?10218)) (product (product (i (eta ?10218)) ?10219) (eta ?10218)) =>= quotient (product ?10219 (eta (i (eta ?10218)))) (i (eta ?10218)) [10219, 10218] by Super 10176 with 3034 at 2,2,2
% 13.81/3.82 Id : 66, {_}: difference (product ?22 ?23) (product ?22 (product ?23 ?24)) =<= quotient (difference ?23 (product (product ?23 ?24) ?22)) ?22 [24, 23, 22] by Demod 9 with 8 at 1,3
% 13.81/3.82 Id : 67, {_}: product (difference (product ?159 ?160) (product ?159 (product ?160 ?161))) ?159 =>= difference ?160 (product (product ?160 ?161) ?159) [161, 160, 159] by Super 7 with 66 at 1,2
% 13.81/3.82 Id : 3638, {_}: product (l ?159 ?160 ?161) ?159 =?= difference ?160 (product (product ?160 ?161) ?159) [161, 160, 159] by Demod 67 with 18 at 1,2
% 13.81/3.82 Id : 10264, {_}: product (l (eta ?10218) (i (eta ?10218)) ?10219) (eta ?10218) =>= quotient (product ?10219 (eta (i (eta ?10218)))) (i (eta ?10218)) [10219, 10218] by Demod 10179 with 3638 at 2
% 13.81/3.82 Id : 10265, {_}: product (l (eta ?10218) (i (eta ?10218)) ?10219) (eta ?10218) =>= quotient (product ?10219 (eta (eta ?10218))) (i (eta ?10218)) [10219, 10218] by Demod 10264 with 494 at 2,1,3
% 13.81/3.82 Id : 214, {_}: l ?22 ?23 ?24 =<= quotient (difference ?23 (product (product ?23 ?24) ?22)) ?22 [24, 23, 22] by Demod 66 with 18 at 2
% 13.81/3.82 Id : 5840, {_}: l (eta ?6432) ?6433 ?6434 =<= quotient (difference ?6433 (product ?6433 (product ?6434 (eta ?6432)))) (eta ?6432) [6434, 6433, 6432] by Super 214 with 925 at 2,1,3
% 13.81/3.82 Id : 5918, {_}: l (eta ?6432) ?6433 ?6434 =?= quotient (product ?6434 (eta ?6432)) (eta ?6432) [6434, 6433, 6432] by Demod 5840 with 5 at 1,3
% 13.81/3.82 Id : 5919, {_}: l (eta ?6432) ?6433 ?6434 =>= ?6434 [6434, 6433, 6432] by Demod 5918 with 6 at 3
% 13.81/3.82 Id : 10266, {_}: product ?10219 (eta ?10218) =<= quotient (product ?10219 (eta (eta ?10218))) (i (eta ?10218)) [10218, 10219] by Demod 10265 with 5919 at 1,2
% 13.81/3.82 Id : 10267, {_}: product ?10219 (eta ?10218) =<= quotient (product ?10219 one) (i (eta ?10218)) [10218, 10219] by Demod 10266 with 3135 at 2,1,3
% 13.81/3.82 Id : 10268, {_}: product ?10219 (eta ?10218) =<= quotient ?10219 (i (eta ?10218)) [10218, 10219] by Demod 10267 with 2 at 1,3
% 13.81/3.82 Id : 10492, {_}: difference (product ?10397 (eta ?10398)) ?10397 =>= i (eta ?10398) [10398, 10397] by Super 43 with 10268 at 1,2
% 13.81/3.82 Id : 27355, {_}: difference (product ?26014 (product (i ?26014) (eta ?26015))) (j ?26014) =>= quotient (i (eta ?26015)) ?26014 [26015, 26014] by Super 27325 with 10492 at 1,3
% 13.81/3.82 Id : 555, {_}: l ?976 (i ?976) ?977 =<= difference one (product ?976 (product (i ?976) ?977)) [977, 976] by Super 18 with 87 at 1,3
% 13.81/3.82 Id : 28, {_}: ?72 =<= difference one ?72 [72] by Super 3 with 4 at 2
% 13.81/3.82 Id : 564, {_}: l ?976 (i ?976) ?977 =<= product ?976 (product (i ?976) ?977) [977, 976] by Demod 555 with 28 at 3
% 13.81/3.82 Id : 27491, {_}: difference (l ?26014 (i ?26014) (eta ?26015)) (j ?26014) =>= quotient (i (eta ?26015)) ?26014 [26015, 26014] by Demod 27355 with 564 at 1,2
% 13.81/3.82 Id : 112, {_}: difference ?235 (eta ?235) =>= j ?235 [235] by Super 5 with 105 at 2,2
% 13.81/3.82 Id : 15324, {_}: product (difference ?13835 (eta (i (eta ?13836)))) (eta ?13836) =>= i (product (i (eta ?13836)) ?13835) [13836, 13835] by Super 10268 with 7105 at 3
% 13.81/3.82 Id : 15352, {_}: product (difference ?13835 (eta (eta ?13836))) (eta ?13836) =>= i (product (i (eta ?13836)) ?13835) [13836, 13835] by Demod 15324 with 494 at 2,1,2
% 13.81/3.82 Id : 15353, {_}: product (difference ?13835 one) (eta ?13836) =>= i (product (i (eta ?13836)) ?13835) [13836, 13835] by Demod 15352 with 3135 at 2,1,2
% 13.81/3.82 Id : 15354, {_}: product (i ?13835) (eta ?13836) =<= i (product (i (eta ?13836)) ?13835) [13836, 13835] by Demod 15353 with 10 at 1,2
% 13.81/3.82 Id : 15554, {_}: product (product (i ?14070) (eta ?14071)) (product (i (eta ?14071)) ?14070) =>= eta (product (i (eta ?14071)) ?14070) [14071, 14070] by Super 106 with 15354 at 1,2
% 13.81/3.82 Id : 15669, {_}: product (i ?14070) (product (eta ?14071) (product (i (eta ?14071)) ?14070)) =>= eta (product (i (eta ?14071)) ?14070) [14071, 14070] by Demod 15554 with 5920 at 2
% 13.81/3.82 Id : 15670, {_}: product (i ?14070) (l (eta ?14071) (i (eta ?14071)) ?14070) =>= eta (product (i (eta ?14071)) ?14070) [14071, 14070] by Demod 15669 with 564 at 2,2
% 13.81/3.82 Id : 15671, {_}: product (i ?14070) ?14070 =?= eta (product (i (eta ?14071)) ?14070) [14071, 14070] by Demod 15670 with 5919 at 2,2
% 13.81/3.82 Id : 17050, {_}: eta ?15595 =<= eta (product (i (eta ?15596)) ?15595) [15596, 15595] by Demod 15671 with 106 at 2
% 13.81/3.82 Id : 17072, {_}: eta (product (i (i (eta ?15649))) ?15650) =<= eta (l (i (eta ?15649)) (i (i (eta ?15649))) ?15650) [15650, 15649] by Super 17050 with 564 at 1,3
% 13.81/3.82 Id : 17274, {_}: eta (product (eta ?15649) ?15650) =<= eta (l (i (eta ?15649)) (i (i (eta ?15649))) ?15650) [15650, 15649] by Demod 17072 with 3034 at 1,1,2
% 13.81/3.82 Id : 17275, {_}: eta (product (eta ?15649) ?15650) =<= eta (l (i (eta ?15649)) (eta ?15649) ?15650) [15650, 15649] by Demod 17274 with 3034 at 2,1,3
% 13.81/3.82 Id : 11620, {_}: difference (product ?11245 (eta ?11246)) (product ?11245 (product (eta ?11246) ?11247)) =>= ?11247 [11247, 11246, 11245] by Super 5 with 5920 at 2,2
% 13.81/3.82 Id : 11678, {_}: l ?11245 (eta ?11246) ?11247 =>= ?11247 [11247, 11246, 11245] by Demod 11620 with 18 at 2
% 13.81/3.82 Id : 17411, {_}: eta (product (eta ?16023) ?16024) =>= eta ?16024 [16024, 16023] by Demod 17275 with 11678 at 1,3
% 13.81/3.82 Id : 17436, {_}: eta (j (quotient ?16086 (eta ?16087))) =>= eta (j ?16086) [16087, 16086] by Super 17411 with 13491 at 1,2
% 13.81/3.82 Id : 17570, {_}: eta (quotient ?16086 (eta ?16087)) =>= eta (j ?16086) [16087, 16086] by Demod 17436 with 613 at 2
% 13.81/3.82 Id : 17984, {_}: eta (quotient ?16884 (eta ?16885)) =>= eta ?16884 [16885, 16884] by Demod 17570 with 613 at 3
% 13.81/3.82 Id : 17994, {_}: eta ?16912 =<= eta (product ?16912 (eta ?16913)) [16913, 16912] by Super 17984 with 6 at 1,2
% 13.81/3.82 Id : 18486, {_}: difference (product ?17560 (eta ?17561)) (eta ?17560) =>= j (product ?17560 (eta ?17561)) [17561, 17560] by Super 112 with 17994 at 2,2
% 13.81/3.82 Id : 7103, {_}: difference (product ?7667 ?7668) (eta ?7667) =>= quotient (i ?7668) ?7667 [7668, 7667] by Demod 7102 with 10 at 1,3
% 13.81/3.82 Id : 18626, {_}: quotient (i (eta ?17561)) ?17560 =>= j (product ?17560 (eta ?17561)) [17560, 17561] by Demod 18486 with 7103 at 2
% 13.81/3.82 Id : 27492, {_}: difference (l ?26014 (i ?26014) (eta ?26015)) (j ?26014) =>= j (product ?26014 (eta ?26015)) [26015, 26014] by Demod 27491 with 18626 at 3
% 13.81/3.82 Id : 5844, {_}: difference (product ?6449 ?6450) (product ?6449 (product ?6450 (eta ?6451))) =>= eta ?6451 [6451, 6450, 6449] by Super 5 with 925 at 2,2
% 13.81/3.82 Id : 5912, {_}: l ?6449 ?6450 (eta ?6451) =>= eta ?6451 [6451, 6450, 6449] by Demod 5844 with 18 at 2
% 13.81/3.82 Id : 28235, {_}: difference (eta ?26409) (j ?26410) =>= j (product ?26410 (eta ?26409)) [26410, 26409] by Demod 27492 with 5912 at 1,2
% 13.81/3.82 Id : 28237, {_}: difference (eta ?26414) ?26415 =<= j (product (i ?26415) (eta ?26414)) [26415, 26414] by Super 28235 with 483 at 2,2
% 13.81/3.82 Id : 15555, {_}: j (product (i ?14073) (eta ?14074)) =>= product (i (eta ?14074)) ?14073 [14074, 14073] by Super 483 with 15354 at 1,2
% 13.81/3.82 Id : 28298, {_}: difference (eta ?26414) ?26415 =<= product (i (eta ?26414)) ?26415 [26415, 26414] by Demod 28237 with 15555 at 3
% 13.81/3.82 Id : 54894, {_}: j (difference (eta ?46567) (i (i ?46568))) =>= difference ?46568 (eta ?46567) [46568, 46567] by Super 54852 with 28298 at 1,2
% 13.81/3.82 Id : 18492, {_}: i (i (product ?17586 (eta ?17587))) =<= product (eta ?17586) (product ?17586 (eta ?17587)) [17587, 17586] by Super 133 with 17994 at 1,3
% 13.81/3.82 Id : 18614, {_}: i (i (product ?17586 (eta ?17587))) =<= product (i (i ?17586)) (eta ?17587) [17587, 17586] by Demod 18492 with 14 at 3
% 13.81/3.82 Id : 23414, {_}: j (i (i (product ?22418 (eta ?22419)))) =>= product (i (eta ?22419)) (i ?22418) [22419, 22418] by Super 15555 with 18614 at 1,2
% 13.81/3.82 Id : 23553, {_}: i (product ?22418 (eta ?22419)) =<= product (i (eta ?22419)) (i ?22418) [22419, 22418] by Demod 23414 with 483 at 2
% 13.81/3.82 Id : 28343, {_}: i (product ?22418 (eta ?22419)) =<= difference (eta ?22419) (i ?22418) [22419, 22418] by Demod 23553 with 28298 at 3
% 13.81/3.82 Id : 55135, {_}: j (i (product (i ?46568) (eta ?46567))) =>= difference ?46568 (eta ?46567) [46567, 46568] by Demod 54894 with 28343 at 1,2
% 13.81/3.82 Id : 55136, {_}: product (i ?46568) (eta ?46567) =>= difference ?46568 (eta ?46567) [46567, 46568] by Demod 55135 with 483 at 2
% 13.81/3.82 Id : 28346, {_}: product (i ?13835) (eta ?13836) =>= i (difference (eta ?13836) ?13835) [13836, 13835] by Demod 15354 with 28298 at 1,3
% 13.81/3.82 Id : 55251, {_}: i (difference (eta ?46905) ?46906) =>= difference ?46906 (eta ?46905) [46906, 46905] by Demod 55136 with 28346 at 2
% 13.81/3.82 Id : 27493, {_}: difference (eta ?26015) (j ?26014) =>= j (product ?26014 (eta ?26015)) [26014, 26015] by Demod 27492 with 5912 at 1,2
% 13.81/3.82 Id : 55287, {_}: i (j (product ?47028 (eta ?47029))) =>= difference (j ?47028) (eta ?47029) [47029, 47028] by Super 55251 with 27493 at 1,2
% 13.81/3.82 Id : 55456, {_}: product ?47028 (eta ?47029) =<= difference (j ?47028) (eta ?47029) [47029, 47028] by Demod 55287 with 599 at 2
% 13.81/3.82 Id : 63697, {_}: i (product ?53082 (j ?53083)) =<= quotient (product ?53083 (eta ?53082)) ?53082 [53083, 53082] by Super 7105 with 55456 at 1,3
% 13.81/3.82 Id : 15322, {_}: product (i (product ?13828 ?13829)) ?13828 =>= difference ?13829 (eta ?13828) [13829, 13828] by Super 7 with 7105 at 1,2
% 13.81/3.82 Id : 63737, {_}: i (product ?53220 (j (i (product (eta ?53220) ?53221)))) =>= quotient (difference ?53221 (eta (eta ?53220))) ?53220 [53221, 53220] by Super 63697 with 15322 at 1,3
% 13.81/3.82 Id : 63865, {_}: i (product ?53220 (product (eta ?53220) ?53221)) =<= quotient (difference ?53221 (eta (eta ?53220))) ?53220 [53221, 53220] by Demod 63737 with 483 at 2,1,2
% 13.81/3.82 Id : 63866, {_}: i (product ?53220 (product (eta ?53220) ?53221)) =>= quotient (difference ?53221 one) ?53220 [53221, 53220] by Demod 63865 with 3135 at 2,1,3
% 13.81/3.82 Id : 63867, {_}: i (product (j (j ?53220)) ?53221) =>= quotient (difference ?53221 one) ?53220 [53221, 53220] by Demod 63866 with 15 at 1,2
% 13.81/3.82 Id : 63868, {_}: i (product (j (j ?53220)) ?53221) =>= quotient (i ?53221) ?53220 [53221, 53220] by Demod 63867 with 10 at 1,3
% 13.81/3.82 Id : 64031, {_}: j (quotient (i ?53463) ?53464) =<= product (j (j ?53464)) ?53463 [53464, 53463] by Super 483 with 63868 at 1,2
% 13.81/3.82 Id : 64883, {_}: j x1 =?= j x1 [] by Demod 64882 with 6 at 1,2
% 13.81/3.82 Id : 64882, {_}: j (quotient (product x1 x0) x0) =>= j x1 [] by Demod 64881 with 599 at 1,1,2
% 13.81/3.82 Id : 64881, {_}: j (quotient (i (j (product x1 x0))) x0) =>= j x1 [] by Demod 1 with 64031 at 2
% 13.81/3.82 Id : 1, {_}: product (j (j x0)) (j (product x1 x0)) =>= j x1 [] by goals
% 13.81/3.82 % SZS output end CNFRefutation for theBenchmark.p
% 13.81/3.82 10765: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 3.476288 using kbo
%------------------------------------------------------------------------------