TSTP Solution File: GRP200-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP200-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/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 10:29:35 EDT 2022
% Result : Unsatisfiable 135.96s 34.35s
% Output : CNFRefutation 135.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP200-1 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/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 : Tue Jun 14 07:00:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 4877: Facts:
% 0.13/0.34 4877: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.34 4877: Id : 3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
% 0.13/0.34 4877: Id : 4, {_}:
% 0.13/0.34 multiply ?6 (left_division ?6 ?7) =>= ?7
% 0.13/0.34 [7, 6] by multiply_left_division ?6 ?7
% 0.13/0.34 4877: Id : 5, {_}:
% 0.13/0.34 left_division ?9 (multiply ?9 ?10) =>= ?10
% 0.13/0.34 [10, 9] by left_division_multiply ?9 ?10
% 0.13/0.34 4877: Id : 6, {_}:
% 0.13/0.34 multiply (right_division ?12 ?13) ?13 =>= ?12
% 0.13/0.34 [13, 12] by multiply_right_division ?12 ?13
% 0.13/0.34 4877: Id : 7, {_}:
% 0.13/0.34 right_division (multiply ?15 ?16) ?16 =>= ?15
% 0.13/0.34 [16, 15] by right_division_multiply ?15 ?16
% 0.13/0.34 4877: Id : 8, {_}:
% 0.13/0.34 multiply ?18 (right_inverse ?18) =>= identity
% 0.13/0.34 [18] by right_inverse ?18
% 0.13/0.34 4877: Id : 9, {_}:
% 0.13/0.34 multiply (left_inverse ?20) ?20 =>= identity
% 0.13/0.34 [20] by left_inverse ?20
% 0.13/0.34 4877: Id : 10, {_}:
% 0.13/0.34 multiply (multiply ?22 (multiply ?23 ?24)) ?22
% 0.13/0.34 =?=
% 0.13/0.34 multiply (multiply ?22 ?23) (multiply ?24 ?22)
% 0.13/0.34 [24, 23, 22] by moufang1 ?22 ?23 ?24
% 0.13/0.34 4877: Goal:
% 0.13/0.34 4877: Id : 1, {_}:
% 0.13/0.34 multiply (multiply (multiply a b) c) b
% 0.13/0.34 =>=
% 0.13/0.34 multiply a (multiply b (multiply c b))
% 0.13/0.34 [] by prove_moufang2
% 135.96/34.35 Statistics :
% 135.96/34.35 Max weight : 14
% 135.96/34.35 Found proof, 34.008207s
% 135.96/34.35 % SZS status Unsatisfiable for theBenchmark.p
% 135.96/34.35 % SZS output start CNFRefutation for theBenchmark.p
% 135.96/34.35 Id : 33, {_}: right_division (multiply ?75 ?76) ?76 =>= ?75 [76, 75] by right_division_multiply ?75 ?76
% 135.96/34.35 Id : 4, {_}: multiply ?6 (left_division ?6 ?7) =>= ?7 [7, 6] by multiply_left_division ?6 ?7
% 135.96/34.35 Id : 6, {_}: multiply (right_division ?12 ?13) ?13 =>= ?12 [13, 12] by multiply_right_division ?12 ?13
% 135.96/34.35 Id : 9, {_}: multiply (left_inverse ?20) ?20 =>= identity [20] by left_inverse ?20
% 135.96/34.35 Id : 22, {_}: left_division ?48 (multiply ?48 ?49) =>= ?49 [49, 48] by left_division_multiply ?48 ?49
% 135.96/34.35 Id : 8, {_}: multiply ?18 (right_inverse ?18) =>= identity [18] by right_inverse ?18
% 135.96/34.35 Id : 10, {_}: multiply (multiply ?22 (multiply ?23 ?24)) ?22 =>= multiply (multiply ?22 ?23) (multiply ?24 ?22) [24, 23, 22] by moufang1 ?22 ?23 ?24
% 135.96/34.35 Id : 3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
% 135.96/34.35 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 135.96/34.35 Id : 54, {_}: multiply (multiply ?119 (multiply ?120 ?121)) ?119 =>= multiply (multiply ?119 ?120) (multiply ?121 ?119) [121, 120, 119] by moufang1 ?119 ?120 ?121
% 135.96/34.35 Id : 7, {_}: right_division (multiply ?15 ?16) ?16 =>= ?15 [16, 15] by right_division_multiply ?15 ?16
% 135.96/34.35 Id : 5, {_}: left_division ?9 (multiply ?9 ?10) =>= ?10 [10, 9] by left_division_multiply ?9 ?10
% 135.96/34.35 Id : 55, {_}: multiply (multiply ?123 ?124) ?123 =<= multiply (multiply ?123 identity) (multiply ?124 ?123) [124, 123] by Super 54 with 2 at 2,1,2
% 135.96/34.35 Id : 71, {_}: multiply (multiply ?123 ?124) ?123 =>= multiply ?123 (multiply ?124 ?123) [124, 123] by Demod 55 with 3 at 1,3
% 135.96/34.35 Id : 247, {_}: right_division (multiply ?342 (multiply ?343 ?342)) ?342 =>= multiply ?342 ?343 [343, 342] by Super 7 with 71 at 1,2
% 135.96/34.35 Id : 242, {_}: multiply ?22 (multiply (multiply ?23 ?24) ?22) =<= multiply (multiply ?22 ?23) (multiply ?24 ?22) [24, 23, 22] by Demod 10 with 71 at 2
% 135.96/34.35 Id : 248, {_}: multiply (multiply ?345 ?346) ?345 =>= multiply ?345 (multiply ?346 ?345) [346, 345] by Demod 55 with 3 at 1,3
% 135.96/34.35 Id : 253, {_}: multiply identity ?358 =<= multiply ?358 (multiply (right_inverse ?358) ?358) [358] by Super 248 with 8 at 1,2
% 135.96/34.35 Id : 266, {_}: ?358 =<= multiply ?358 (multiply (right_inverse ?358) ?358) [358] by Demod 253 with 2 at 2
% 135.96/34.35 Id : 345, {_}: left_division ?486 ?486 =<= multiply (right_inverse ?486) ?486 [486] by Super 5 with 266 at 2,2
% 135.96/34.35 Id : 24, {_}: left_division ?53 ?53 =>= identity [53] by Super 22 with 3 at 2,2
% 135.96/34.35 Id : 366, {_}: identity =<= multiply (right_inverse ?486) ?486 [486] by Demod 345 with 24 at 2
% 135.96/34.35 Id : 379, {_}: multiply ?528 (multiply (multiply ?529 (right_inverse ?528)) ?528) =>= multiply (multiply ?528 ?529) identity [529, 528] by Super 242 with 366 at 2,3
% 135.96/34.35 Id : 392, {_}: multiply ?528 (multiply (multiply ?529 (right_inverse ?528)) ?528) =>= multiply ?528 ?529 [529, 528] by Demod 379 with 3 at 3
% 135.96/34.35 Id : 383, {_}: right_division identity ?537 =>= right_inverse ?537 [537] by Super 7 with 366 at 1,2
% 135.96/34.35 Id : 45, {_}: right_division identity ?99 =>= left_inverse ?99 [99] by Super 7 with 9 at 1,2
% 135.96/34.35 Id : 389, {_}: left_inverse ?537 =<= right_inverse ?537 [537] by Demod 383 with 45 at 2
% 135.96/34.35 Id : 1661, {_}: multiply ?528 (multiply (multiply ?529 (left_inverse ?528)) ?528) =>= multiply ?528 ?529 [529, 528] by Demod 392 with 389 at 2,1,2,2
% 135.96/34.35 Id : 1668, {_}: right_division (multiply ?1699 ?1700) ?1699 =<= multiply ?1699 (multiply ?1700 (left_inverse ?1699)) [1700, 1699] by Super 247 with 1661 at 1,2
% 135.96/34.35 Id : 1791, {_}: left_division ?1872 (right_division (multiply ?1872 ?1873) ?1872) =>= multiply ?1873 (left_inverse ?1872) [1873, 1872] by Super 5 with 1668 at 2,2
% 135.96/34.35 Id : 438, {_}: right_division (multiply ?558 (multiply ?559 ?558)) ?558 =>= multiply ?558 ?559 [559, 558] by Super 7 with 71 at 1,2
% 135.96/34.35 Id : 442, {_}: right_division (multiply ?568 ?569) ?568 =<= multiply ?568 (right_division ?569 ?568) [569, 568] by Super 438 with 6 at 2,1,2
% 135.96/34.35 Id : 852, {_}: left_division ?1009 (right_division (multiply ?1009 ?1010) ?1009) =>= right_division ?1010 ?1009 [1010, 1009] by Super 5 with 442 at 2,2
% 135.96/34.35 Id : 855, {_}: left_division ?1016 (right_division ?1017 ?1016) =>= right_division (left_division ?1016 ?1017) ?1016 [1017, 1016] by Super 852 with 4 at 1,2,2
% 135.96/34.35 Id : 1819, {_}: right_division (left_division ?1872 (multiply ?1872 ?1873)) ?1872 =>= multiply ?1873 (left_inverse ?1872) [1873, 1872] by Demod 1791 with 855 at 2
% 135.96/34.35 Id : 1903, {_}: right_division ?2017 ?2018 =<= multiply ?2017 (left_inverse ?2018) [2018, 2017] by Demod 1819 with 5 at 1,2
% 135.96/34.35 Id : 41, {_}: right_division identity (right_inverse ?93) =>= ?93 [93] by Super 7 with 8 at 1,2
% 135.96/34.35 Id : 210, {_}: left_inverse (right_inverse ?93) =>= ?93 [93] by Demod 41 with 45 at 2
% 135.96/34.35 Id : 415, {_}: left_inverse (left_inverse ?93) =>= ?93 [93] by Demod 210 with 389 at 1,2
% 135.96/34.35 Id : 1904, {_}: right_division ?2020 (left_inverse ?2021) =>= multiply ?2020 ?2021 [2021, 2020] by Super 1903 with 415 at 2,3
% 135.96/34.35 Id : 36, {_}: right_division ?82 (left_division ?83 ?82) =>= ?83 [83, 82] by Super 33 with 4 at 1,2
% 135.96/34.35 Id : 1820, {_}: right_division ?1873 ?1872 =<= multiply ?1873 (left_inverse ?1872) [1872, 1873] by Demod 1819 with 5 at 1,2
% 135.96/34.35 Id : 1891, {_}: multiply ?1967 (multiply (multiply (left_inverse ?1968) ?1969) ?1967) =>= multiply (right_division ?1967 ?1968) (multiply ?1969 ?1967) [1969, 1968, 1967] by Super 242 with 1820 at 1,3
% 135.96/34.35 Id : 1887, {_}: left_division ?1955 (right_division ?1955 ?1956) =>= left_inverse ?1956 [1956, 1955] by Super 5 with 1820 at 2,2
% 135.96/34.35 Id : 28, {_}: left_division (right_division ?62 ?63) ?62 =>= ?63 [63, 62] by Super 5 with 6 at 2,2
% 135.96/34.35 Id : 6149, {_}: multiply ?5956 (multiply (multiply (left_inverse ?5957) ?5958) ?5956) =>= multiply (right_division ?5956 ?5957) (multiply ?5958 ?5956) [5958, 5957, 5956] by Super 242 with 1820 at 1,3
% 135.96/34.35 Id : 6156, {_}: multiply ?5985 (multiply identity ?5985) =<= multiply (right_division ?5985 ?5986) (multiply ?5986 ?5985) [5986, 5985] by Super 6149 with 9 at 1,2,2
% 135.96/34.35 Id : 6253, {_}: multiply ?5985 ?5985 =<= multiply (right_division ?5985 ?5986) (multiply ?5986 ?5985) [5986, 5985] by Demod 6156 with 2 at 2,2
% 135.96/34.35 Id : 7223, {_}: right_division (multiply ?7064 ?7064) (multiply ?7065 ?7064) =>= right_division ?7064 ?7065 [7065, 7064] by Super 7 with 6253 at 1,2
% 135.96/34.35 Id : 7226, {_}: right_division (multiply ?7071 ?7071) ?7072 =>= right_division ?7071 (right_division ?7072 ?7071) [7072, 7071] by Super 7223 with 6 at 2,2
% 135.96/34.35 Id : 7330, {_}: right_division ?7221 (right_division (left_inverse ?7222) ?7221) =>= multiply (multiply ?7221 ?7221) ?7222 [7222, 7221] by Super 1904 with 7226 at 2
% 135.96/34.35 Id : 9683, {_}: left_division (multiply (multiply ?9295 ?9295) ?9296) ?9295 =>= right_division (left_inverse ?9296) ?9295 [9296, 9295] by Super 28 with 7330 at 1,2
% 135.96/34.35 Id : 9698, {_}: left_division (multiply ?9339 (multiply (multiply ?9339 ?9340) ?9339)) ?9339 =>= right_division (left_inverse (multiply ?9340 ?9339)) ?9339 [9340, 9339] by Super 9683 with 242 at 1,2
% 135.96/34.35 Id : 1965, {_}: left_division (multiply ?2051 ?2052) ?2051 =>= left_inverse ?2052 [2052, 2051] by Super 28 with 1904 at 1,2
% 135.96/34.36 Id : 9752, {_}: left_inverse (multiply (multiply ?9339 ?9340) ?9339) =<= right_division (left_inverse (multiply ?9340 ?9339)) ?9339 [9340, 9339] by Demod 9698 with 1965 at 2
% 135.96/34.36 Id : 9797, {_}: left_inverse (multiply ?9438 (multiply ?9439 ?9438)) =<= right_division (left_inverse (multiply ?9439 ?9438)) ?9438 [9439, 9438] by Demod 9752 with 71 at 1,2
% 135.96/34.36 Id : 9800, {_}: left_inverse (multiply ?9445 (multiply (right_division ?9446 ?9445) ?9445)) =>= right_division (left_inverse ?9446) ?9445 [9446, 9445] by Super 9797 with 6 at 1,1,3
% 135.96/34.36 Id : 9997, {_}: left_inverse (multiply ?9620 ?9621) =<= right_division (left_inverse ?9621) ?9620 [9621, 9620] by Demod 9800 with 6 at 2,1,2
% 135.96/34.36 Id : 9998, {_}: left_inverse (multiply ?9623 (left_inverse ?9624)) =>= right_division ?9624 ?9623 [9624, 9623] by Super 9997 with 415 at 1,3
% 135.96/34.36 Id : 10151, {_}: left_inverse (right_division ?9743 ?9744) =>= right_division ?9744 ?9743 [9744, 9743] by Demod 9998 with 1820 at 1,2
% 135.96/34.36 Id : 10152, {_}: left_inverse ?9746 =<= right_division ?9747 (multiply ?9746 ?9747) [9747, 9746] by Super 10151 with 7 at 1,2
% 135.96/34.36 Id : 10899, {_}: left_division ?10643 (left_inverse ?10644) =>= left_inverse (multiply ?10644 ?10643) [10644, 10643] by Super 1887 with 10152 at 2,2
% 135.96/34.36 Id : 10900, {_}: left_division ?10646 ?10647 =<= left_inverse (multiply (left_inverse ?10647) ?10646) [10647, 10646] by Super 10899 with 415 at 2,2
% 135.96/34.36 Id : 9894, {_}: left_inverse (multiply ?9445 ?9446) =<= right_division (left_inverse ?9446) ?9445 [9446, 9445] by Demod 9800 with 6 at 2,1,2
% 135.96/34.36 Id : 9985, {_}: left_inverse (multiply (left_inverse ?9584) ?9585) =>= multiply (left_inverse ?9585) ?9584 [9585, 9584] by Super 1904 with 9894 at 2
% 135.96/34.36 Id : 10977, {_}: left_division ?10646 ?10647 =<= multiply (left_inverse ?10646) ?10647 [10647, 10646] by Demod 10900 with 9985 at 3
% 135.96/34.36 Id : 11161, {_}: multiply ?1967 (multiply (left_division ?1968 ?1969) ?1967) =<= multiply (right_division ?1967 ?1968) (multiply ?1969 ?1967) [1969, 1968, 1967] by Demod 1891 with 10977 at 1,2,2
% 135.96/34.36 Id : 2014, {_}: left_division ?2107 (right_division ?2107 ?2108) =>= left_inverse ?2108 [2108, 2107] by Super 5 with 1820 at 2,2
% 135.96/34.36 Id : 2017, {_}: left_division ?2115 ?2116 =<= left_inverse (left_division ?2116 ?2115) [2116, 2115] by Super 2014 with 36 at 2,2
% 135.96/34.36 Id : 2045, {_}: right_division ?2141 (left_division ?2142 ?2143) =<= multiply ?2141 (left_division ?2143 ?2142) [2143, 2142, 2141] by Super 1904 with 2017 at 2,2
% 135.96/34.36 Id : 2383, {_}: multiply (right_division ?2616 (left_division ?2617 ?2618)) ?2616 =>= multiply ?2616 (multiply (left_division ?2618 ?2617) ?2616) [2618, 2617, 2616] by Super 71 with 2045 at 1,2
% 135.96/34.36 Id : 1892, {_}: multiply (right_division ?1971 ?1972) ?1971 =<= multiply ?1971 (multiply (left_inverse ?1972) ?1971) [1972, 1971] by Super 71 with 1820 at 1,2
% 135.96/34.36 Id : 11164, {_}: multiply (right_division ?1971 ?1972) ?1971 =>= multiply ?1971 (left_division ?1972 ?1971) [1972, 1971] by Demod 1892 with 10977 at 2,3
% 135.96/34.36 Id : 11179, {_}: multiply (right_division ?1971 ?1972) ?1971 =>= right_division ?1971 (left_division ?1971 ?1972) [1972, 1971] by Demod 11164 with 2045 at 3
% 135.96/34.36 Id : 11182, {_}: right_division ?2616 (left_division ?2616 (left_division ?2617 ?2618)) =<= multiply ?2616 (multiply (left_division ?2618 ?2617) ?2616) [2618, 2617, 2616] by Demod 2383 with 11179 at 2
% 135.96/34.36 Id : 11188, {_}: right_division ?1967 (left_division ?1967 (left_division ?1969 ?1968)) =<= multiply (right_division ?1967 ?1968) (multiply ?1969 ?1967) [1968, 1969, 1967] by Demod 11161 with 11182 at 2
% 135.96/34.36 Id : 11239, {_}: right_division ?10948 (left_division ?10948 (left_division (left_inverse ?10949) ?10950)) =>= multiply (right_division ?10948 ?10950) (left_division ?10949 ?10948) [10950, 10949, 10948] by Super 11188 with 10977 at 2,3
% 135.96/34.36 Id : 10780, {_}: left_division (left_inverse ?10464) ?10465 =>= multiply ?10464 ?10465 [10465, 10464] by Super 28 with 10152 at 1,2
% 135.96/34.36 Id : 11252, {_}: right_division ?10948 (left_division ?10948 (multiply ?10949 ?10950)) =<= multiply (right_division ?10948 ?10950) (left_division ?10949 ?10948) [10950, 10949, 10948] by Demod 11239 with 10780 at 2,2,2
% 135.96/34.36 Id : 14982, {_}: right_division ?13934 (left_division ?13934 (multiply ?13935 ?13936)) =<= right_division (right_division ?13934 ?13936) (left_division ?13934 ?13935) [13936, 13935, 13934] by Demod 11252 with 2045 at 3
% 135.96/34.36 Id : 14989, {_}: right_division ?13960 (left_division ?13960 (multiply (right_division ?13960 ?13961) ?13962)) =>= right_division (right_division ?13960 ?13962) (left_inverse ?13961) [13962, 13961, 13960] by Super 14982 with 1887 at 2,3
% 135.96/34.36 Id : 11046, {_}: left_division (left_inverse ?10745) ?10746 =>= multiply ?10745 ?10746 [10746, 10745] by Super 28 with 10152 at 1,2
% 135.96/34.36 Id : 10093, {_}: left_inverse (right_division ?9623 ?9624) =>= right_division ?9624 ?9623 [9624, 9623] by Demod 9998 with 1820 at 1,2
% 135.96/34.36 Id : 11049, {_}: left_division (right_division ?10755 ?10756) ?10757 =<= multiply (right_division ?10756 ?10755) ?10757 [10757, 10756, 10755] by Super 11046 with 10093 at 1,2
% 135.96/34.36 Id : 15069, {_}: right_division ?13960 (left_division ?13960 (left_division (right_division ?13961 ?13960) ?13962)) =>= right_division (right_division ?13960 ?13962) (left_inverse ?13961) [13962, 13961, 13960] by Demod 14989 with 11049 at 2,2,2
% 135.96/34.36 Id : 15070, {_}: right_division ?13960 (left_division ?13960 (left_division (right_division ?13961 ?13960) ?13962)) =>= multiply (right_division ?13960 ?13962) ?13961 [13962, 13961, 13960] by Demod 15069 with 1904 at 3
% 135.96/34.36 Id : 118479, {_}: right_division ?89004 (left_division ?89004 (left_division (right_division ?89005 ?89004) ?89006)) =>= left_division (right_division ?89006 ?89004) ?89005 [89006, 89005, 89004] by Demod 15070 with 11049 at 3
% 135.96/34.36 Id : 118586, {_}: right_division ?89458 (left_division ?89458 ?89459) =<= left_division (right_division (multiply (right_division ?89460 ?89458) ?89459) ?89458) ?89460 [89460, 89459, 89458] by Super 118479 with 5 at 2,2,2
% 135.96/34.36 Id : 119116, {_}: right_division ?89458 (left_division ?89458 ?89459) =<= left_division (right_division (left_division (right_division ?89458 ?89460) ?89459) ?89458) ?89460 [89460, 89459, 89458] by Demod 118586 with 11049 at 1,1,3
% 135.96/34.36 Id : 430778, {_}: right_division ?295504 (right_division ?295505 (left_division ?295505 ?295506)) =<= right_division (left_division (right_division ?295505 ?295504) ?295506) ?295505 [295506, 295505, 295504] by Super 36 with 119116 at 2,2
% 135.96/34.36 Id : 432428, {_}: right_division ?297578 (right_division (left_inverse ?297579) (left_division (left_inverse ?297579) ?297580)) =>= multiply (left_division (right_division (left_inverse ?297579) ?297578) ?297580) ?297579 [297580, 297579, 297578] by Super 1904 with 430778 at 2
% 135.96/34.36 Id : 433000, {_}: right_division ?297578 (left_inverse (multiply (left_division (left_inverse ?297579) ?297580) ?297579)) =>= multiply (left_division (right_division (left_inverse ?297579) ?297578) ?297580) ?297579 [297580, 297579, 297578] by Demod 432428 with 9894 at 2,2
% 135.96/34.36 Id : 11051, {_}: left_division (left_division ?10761 ?10762) ?10763 =<= multiply (left_division ?10762 ?10761) ?10763 [10763, 10762, 10761] by Super 11046 with 2017 at 1,2
% 135.96/34.36 Id : 433001, {_}: right_division ?297578 (left_inverse (multiply (left_division (left_inverse ?297579) ?297580) ?297579)) =>= left_division (left_division ?297580 (right_division (left_inverse ?297579) ?297578)) ?297579 [297580, 297579, 297578] by Demod 433000 with 11051 at 3
% 135.96/34.36 Id : 433002, {_}: multiply ?297578 (multiply (left_division (left_inverse ?297579) ?297580) ?297579) =>= left_division (left_division ?297580 (right_division (left_inverse ?297579) ?297578)) ?297579 [297580, 297579, 297578] by Demod 433001 with 1904 at 2
% 135.96/34.36 Id : 433003, {_}: multiply ?297578 (multiply (left_division (left_inverse ?297579) ?297580) ?297579) =>= left_division (left_division ?297580 (left_inverse (multiply ?297578 ?297579))) ?297579 [297580, 297579, 297578] by Demod 433002 with 9894 at 2,1,3
% 135.96/34.36 Id : 433004, {_}: multiply ?297578 (left_division (left_division ?297580 (left_inverse ?297579)) ?297579) =>= left_division (left_division ?297580 (left_inverse (multiply ?297578 ?297579))) ?297579 [297579, 297580, 297578] by Demod 433003 with 11051 at 2,2
% 135.96/34.36 Id : 10776, {_}: left_division ?10453 (left_inverse ?10454) =>= left_inverse (multiply ?10454 ?10453) [10454, 10453] by Super 1887 with 10152 at 2,2
% 135.96/34.36 Id : 433005, {_}: multiply ?297578 (left_division (left_division ?297580 (left_inverse ?297579)) ?297579) =>= left_division (left_inverse (multiply (multiply ?297578 ?297579) ?297580)) ?297579 [297579, 297580, 297578] by Demod 433004 with 10776 at 1,3
% 135.96/34.36 Id : 433006, {_}: right_division ?297578 (left_division ?297579 (left_division ?297580 (left_inverse ?297579))) =<= left_division (left_inverse (multiply (multiply ?297578 ?297579) ?297580)) ?297579 [297580, 297579, 297578] by Demod 433005 with 2045 at 2
% 135.96/34.36 Id : 433007, {_}: right_division ?297578 (left_division ?297579 (left_division ?297580 (left_inverse ?297579))) =>= multiply (multiply (multiply ?297578 ?297579) ?297580) ?297579 [297580, 297579, 297578] by Demod 433006 with 10780 at 3
% 135.96/34.36 Id : 433008, {_}: right_division ?297578 (left_division ?297579 (left_inverse (multiply ?297579 ?297580))) =>= multiply (multiply (multiply ?297578 ?297579) ?297580) ?297579 [297580, 297579, 297578] by Demod 433007 with 10776 at 2,2,2
% 135.96/34.36 Id : 433009, {_}: right_division ?297578 (left_inverse (multiply (multiply ?297579 ?297580) ?297579)) =>= multiply (multiply (multiply ?297578 ?297579) ?297580) ?297579 [297580, 297579, 297578] by Demod 433008 with 10776 at 2,2
% 135.96/34.36 Id : 433010, {_}: multiply ?297578 (multiply (multiply ?297579 ?297580) ?297579) =<= multiply (multiply (multiply ?297578 ?297579) ?297580) ?297579 [297580, 297579, 297578] by Demod 433009 with 1904 at 2
% 135.96/34.36 Id : 433011, {_}: multiply ?297578 (multiply ?297579 (multiply ?297580 ?297579)) =<= multiply (multiply (multiply ?297578 ?297579) ?297580) ?297579 [297580, 297579, 297578] by Demod 433010 with 71 at 2,2
% 135.96/34.36 Id : 436183, {_}: multiply a (multiply b (multiply c b)) =?= multiply a (multiply b (multiply c b)) [] by Demod 1 with 433011 at 2
% 135.96/34.36 Id : 1, {_}: multiply (multiply (multiply a b) c) b =>= multiply a (multiply b (multiply c b)) [] by prove_moufang2
% 135.96/34.36 % SZS output end CNFRefutation for theBenchmark.p
% 135.96/34.36 4878: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 34.022884 using kbo
%------------------------------------------------------------------------------