TSTP Solution File: GRP432-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP432-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n017.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 10:30:16 EDT 2022
% Result : Unsatisfiable 4.81s 1.59s
% Output : CNFRefutation 4.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP432-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 20:05:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 26132: Facts:
% 0.13/0.36 26132: Id : 2, {_}:
% 0.13/0.36 multiply ?2
% 0.13/0.36 (inverse
% 0.13/0.36 (multiply ?3
% 0.13/0.36 (multiply
% 0.13/0.36 (multiply (multiply ?4 (inverse ?4))
% 0.13/0.36 (inverse (multiply ?5 ?3))) ?2)))
% 0.13/0.36 =>=
% 0.13/0.36 ?5
% 0.13/0.36 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.13/0.36 26132: Goal:
% 0.13/0.36 26132: Id : 1, {_}:
% 0.13/0.36 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.13/0.36 [] by prove_these_axioms_3
% 4.81/1.59 Statistics :
% 4.81/1.59 Max weight : 63
% 4.81/1.59 Found proof, 1.236482s
% 4.81/1.59 % SZS status Unsatisfiable for theBenchmark.p
% 4.81/1.59 % SZS output start CNFRefutation for theBenchmark.p
% 4.81/1.59 Id : 3, {_}: multiply ?7 (inverse (multiply ?8 (multiply (multiply (multiply ?9 (inverse ?9)) (inverse (multiply ?10 ?8))) ?7))) =>= ?10 [10, 9, 8, 7] by single_axiom ?7 ?8 ?9 ?10
% 4.81/1.59 Id : 2, {_}: multiply ?2 (inverse (multiply ?3 (multiply (multiply (multiply ?4 (inverse ?4)) (inverse (multiply ?5 ?3))) ?2))) =>= ?5 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 4.81/1.59 Id : 5, {_}: multiply ?19 (inverse (multiply (multiply (multiply (multiply ?20 (inverse ?20)) (inverse (multiply ?21 ?22))) (multiply ?23 (inverse ?23))) (multiply ?21 ?19))) =>= ?22 [23, 22, 21, 20, 19] by Super 3 with 2 at 1,2,1,2,2
% 4.81/1.59 Id : 9, {_}: multiply ?42 (inverse (multiply (multiply ?43 (multiply ?44 (inverse ?44))) (multiply ?45 ?42))) =?= multiply (multiply (multiply ?46 (inverse ?46)) (inverse (multiply ?43 ?45))) (multiply ?47 (inverse ?47)) [47, 46, 45, 44, 43, 42] by Super 2 with 5 at 1,2,1,2,2
% 4.81/1.59 Id : 79, {_}: multiply (multiply ?678 (inverse ?678)) (inverse (multiply ?679 (multiply ?680 (inverse (multiply (multiply ?681 (multiply ?682 (inverse ?682))) (multiply ?679 ?680)))))) =>= ?681 [682, 681, 680, 679, 678] by Super 2 with 9 at 2,1,2,2
% 4.81/1.59 Id : 11, {_}: multiply ?57 (inverse (multiply (multiply (multiply (multiply ?58 (inverse ?58)) (inverse (multiply ?59 ?60))) (multiply ?61 (inverse ?61))) (multiply ?59 ?57))) =>= ?60 [61, 60, 59, 58, 57] by Super 3 with 2 at 1,2,1,2,2
% 4.81/1.59 Id : 14, {_}: multiply ?80 (inverse (multiply (multiply (multiply (multiply ?81 (inverse ?81)) (inverse ?82)) (multiply ?83 (inverse ?83))) (multiply ?84 ?80))) =?= inverse (multiply ?85 (multiply (multiply (multiply ?86 (inverse ?86)) (inverse (multiply ?82 ?85))) ?84)) [86, 85, 84, 83, 82, 81, 80] by Super 11 with 2 at 1,2,1,1,1,2,2
% 4.81/1.59 Id : 2475, {_}: inverse (multiply ?17364 (multiply (multiply (multiply ?17365 (inverse ?17365)) (inverse (multiply (multiply ?17366 ?17367) ?17364))) ?17366)) =>= ?17367 [17367, 17366, 17365, 17364] by Super 5 with 14 at 2
% 4.81/1.59 Id : 3086, {_}: inverse (multiply ?22152 (multiply (multiply (multiply ?22153 (inverse ?22153)) (inverse (multiply (multiply ?22154 ?22155) ?22152))) ?22154)) =>= ?22155 [22155, 22154, 22153, 22152] by Super 5 with 14 at 2
% 4.81/1.59 Id : 10, {_}: multiply (inverse (multiply (multiply (multiply (multiply ?49 (inverse ?49)) (inverse (multiply ?50 ?51))) (multiply ?52 (inverse ?52))) (multiply ?50 (multiply (multiply ?53 (inverse ?53)) (inverse (multiply ?54 ?55)))))) (inverse (multiply ?55 ?51)) =>= ?54 [55, 54, 53, 52, 51, 50, 49] by Super 2 with 5 at 2,1,2,2
% 4.81/1.59 Id : 251, {_}: multiply (multiply ?2331 (inverse ?2331)) (inverse (multiply ?2332 (multiply ?2333 (inverse (multiply (multiply ?2334 (multiply ?2335 (inverse ?2335))) (multiply ?2332 ?2333)))))) =>= ?2334 [2335, 2334, 2333, 2332, 2331] by Super 2 with 9 at 2,1,2,2
% 4.81/1.59 Id : 263, {_}: multiply (multiply ?2438 (inverse ?2438)) (inverse (multiply ?2439 ?2440)) =?= multiply (multiply ?2441 (inverse ?2441)) (inverse (multiply ?2439 ?2440)) [2441, 2440, 2439, 2438] by Super 251 with 5 at 2,1,2,2
% 4.81/1.59 Id : 437, {_}: multiply (inverse (multiply (multiply (multiply (multiply ?3977 (inverse ?3977)) (inverse (multiply ?3978 ?3979))) (multiply ?3980 (inverse ?3980))) (multiply ?3978 (multiply (multiply ?3981 (inverse ?3981)) (inverse (multiply (multiply ?3982 (inverse ?3982)) (inverse (multiply ?3983 ?3984)))))))) (inverse (multiply (inverse (multiply ?3983 ?3984)) ?3979)) =?= multiply ?3985 (inverse ?3985) [3985, 3984, 3983, 3982, 3981, 3980, 3979, 3978, 3977] by Super 10 with 263 at 1,2,2,2,1,1,2
% 4.81/1.59 Id : 498, {_}: multiply ?3982 (inverse ?3982) =?= multiply ?3985 (inverse ?3985) [3985, 3982] by Demod 437 with 10 at 2
% 4.81/1.59 Id : 3161, {_}: inverse (multiply (inverse (multiply ?22671 ?22672)) (multiply (multiply ?22673 (inverse ?22673)) ?22671)) =>= ?22672 [22673, 22672, 22671] by Super 3086 with 498 at 1,2,1,2
% 4.81/1.59 Id : 451, {_}: multiply (multiply ?4103 (inverse ?4103)) (inverse (multiply ?4104 ?4105)) =?= multiply (multiply ?4106 (inverse ?4106)) (inverse (multiply ?4104 ?4105)) [4106, 4105, 4104, 4103] by Super 251 with 5 at 2,1,2,2
% 4.81/1.59 Id : 452, {_}: multiply (multiply ?4108 (inverse ?4108)) (inverse (multiply ?4109 (inverse (multiply ?4110 (multiply (multiply (multiply ?4111 (inverse ?4111)) (inverse (multiply ?4112 ?4110))) ?4109))))) =?= multiply (multiply ?4113 (inverse ?4113)) (inverse ?4112) [4113, 4112, 4111, 4110, 4109, 4108] by Super 451 with 2 at 1,2,3
% 4.81/1.59 Id : 528, {_}: multiply (multiply ?4108 (inverse ?4108)) (inverse ?4112) =?= multiply (multiply ?4113 (inverse ?4113)) (inverse ?4112) [4113, 4112, 4108] by Demod 452 with 2 at 1,2,2
% 4.81/1.59 Id : 963, {_}: multiply ?7190 (inverse ?7190) =?= multiply (multiply ?7191 (inverse ?7191)) (inverse (multiply ?7192 (inverse ?7192))) [7192, 7191, 7190] by Super 498 with 528 at 3
% 4.81/1.59 Id : 4147, {_}: inverse (multiply (inverse (multiply (inverse (multiply ?28188 (inverse ?28188))) ?28189)) (multiply ?28190 (inverse ?28190))) =>= ?28189 [28190, 28189, 28188] by Super 3086 with 963 at 2,1,2
% 4.81/1.59 Id : 4, {_}: multiply ?12 (inverse (multiply (inverse (multiply ?13 (multiply (multiply (multiply ?14 (inverse ?14)) (inverse (multiply ?15 ?13))) ?16))) (multiply (multiply (multiply ?17 (inverse ?17)) (inverse ?15)) ?12))) =>= ?16 [17, 16, 15, 14, 13, 12] by Super 3 with 2 at 1,2,1,2,1,2,2
% 4.81/1.59 Id : 602, {_}: multiply ?4840 (inverse (multiply (inverse ?4841) (multiply (multiply ?4842 (inverse ?4842)) ?4840))) =>= ?4841 [4842, 4841, 4840] by Super 2 with 498 at 1,2,1,2,2
% 4.81/1.59 Id : 2080, {_}: multiply ?14684 (multiply (multiply (multiply ?14685 (inverse ?14685)) (inverse (multiply (multiply ?14686 (inverse ?14686)) ?14684))) ?14687) =>= ?14687 [14687, 14686, 14685, 14684] by Super 4 with 602 at 2
% 4.81/1.59 Id : 2124, {_}: multiply (inverse (multiply ?14956 (inverse ?14956))) (multiply (multiply ?14957 (inverse ?14957)) ?14958) =>= ?14958 [14958, 14957, 14956] by Super 2080 with 498 at 1,2,2
% 4.81/1.59 Id : 4204, {_}: inverse (multiply (inverse ?28504) (multiply ?28505 (inverse ?28505))) =?= multiply (multiply ?28506 (inverse ?28506)) ?28504 [28506, 28505, 28504] by Super 4147 with 2124 at 1,1,1,2
% 4.81/1.59 Id : 5314, {_}: multiply (multiply ?37733 (inverse ?37733)) (multiply (inverse (multiply ?37734 (inverse ?37734))) ?37735) =>= ?37735 [37735, 37734, 37733] by Super 3161 with 4204 at 2
% 4.81/1.59 Id : 5699, {_}: inverse (multiply (inverse (multiply (multiply (inverse (multiply ?39967 (inverse ?39967))) ?39968) ?39969)) ?39968) =>= ?39969 [39969, 39968, 39967] by Super 3161 with 5314 at 2,1,2
% 4.81/1.59 Id : 733, {_}: multiply ?5454 (multiply (multiply (multiply ?5455 (inverse ?5455)) (inverse (multiply (multiply ?5456 (inverse ?5456)) ?5454))) ?5457) =>= ?5457 [5457, 5456, 5455, 5454] by Super 4 with 602 at 2
% 4.81/1.59 Id : 5763, {_}: inverse (multiply (inverse ?40342) ?40343) =<= multiply (multiply (multiply ?40344 (inverse ?40344)) (inverse (multiply (multiply ?40345 (inverse ?40345)) (multiply (inverse (multiply ?40346 (inverse ?40346))) ?40343)))) ?40342 [40346, 40345, 40344, 40343, 40342] by Super 5699 with 733 at 1,1,1,2
% 4.81/1.59 Id : 5805, {_}: inverse (multiply (inverse ?40342) ?40343) =<= multiply (multiply (multiply ?40344 (inverse ?40344)) (inverse ?40343)) ?40342 [40344, 40343, 40342] by Demod 5763 with 5314 at 1,2,1,3
% 4.81/1.59 Id : 5826, {_}: inverse (multiply ?17364 (inverse (multiply (inverse ?17366) (multiply (multiply ?17366 ?17367) ?17364)))) =>= ?17367 [17367, 17366, 17364] by Demod 2475 with 5805 at 2,1,2
% 4.81/1.59 Id : 5453, {_}: multiply ?38515 (inverse (multiply (inverse (inverse (multiply ?38516 (inverse ?38516)))) (multiply ?38517 ?38515))) =>= inverse ?38517 [38517, 38516, 38515] by Super 5 with 5314 at 1,1,2,2
% 4.81/1.59 Id : 7322, {_}: inverse (inverse (multiply (inverse (multiply ?48346 (inverse ?48346))) ?48347)) =>= ?48347 [48347, 48346] by Super 5826 with 5453 at 1,2
% 4.81/1.59 Id : 7365, {_}: inverse (inverse ?48529) =<= multiply (multiply ?48530 (inverse ?48530)) ?48529 [48530, 48529] by Super 7322 with 2124 at 1,1,2
% 4.81/1.59 Id : 7421, {_}: inverse (inverse (inverse (multiply ?679 (multiply ?680 (inverse (multiply (multiply ?681 (multiply ?682 (inverse ?682))) (multiply ?679 ?680))))))) =>= ?681 [682, 681, 680, 679] by Demod 79 with 7365 at 2
% 4.81/1.59 Id : 7426, {_}: inverse (multiply (inverse (multiply ?22671 ?22672)) (inverse (inverse ?22671))) =>= ?22672 [22672, 22671] by Demod 3161 with 7365 at 2,1,2
% 4.81/1.59 Id : 7526, {_}: inverse (multiply (inverse (inverse (inverse ?49108))) (inverse (inverse (multiply ?49109 (inverse ?49109))))) =>= ?49108 [49109, 49108] by Super 7426 with 7365 at 1,1,1,2
% 4.81/1.59 Id : 7429, {_}: inverse (multiply (inverse ?40342) ?40343) =<= multiply (inverse (inverse (inverse ?40343))) ?40342 [40343, 40342] by Demod 5805 with 7365 at 1,3
% 4.81/1.59 Id : 7576, {_}: inverse (inverse (multiply (inverse (inverse (inverse (multiply ?49109 (inverse ?49109))))) ?49108)) =>= ?49108 [49108, 49109] by Demod 7526 with 7429 at 1,2
% 4.81/1.59 Id : 7577, {_}: inverse (inverse (inverse (multiply (inverse ?49108) (multiply ?49109 (inverse ?49109))))) =>= ?49108 [49109, 49108] by Demod 7576 with 7429 at 1,1,2
% 4.81/1.59 Id : 7417, {_}: inverse (multiply (inverse ?28504) (multiply ?28505 (inverse ?28505))) =>= inverse (inverse ?28504) [28505, 28504] by Demod 4204 with 7365 at 3
% 4.81/1.59 Id : 7578, {_}: inverse (inverse (inverse (inverse ?49108))) =>= ?49108 [49108] by Demod 7577 with 7417 at 1,1,2
% 4.81/1.59 Id : 7752, {_}: inverse (multiply (inverse ?49548) (inverse ?49549)) =>= multiply ?49549 ?49548 [49549, 49548] by Super 7429 with 7578 at 1,3
% 4.81/1.59 Id : 7859, {_}: inverse (inverse (inverse (multiply ?49708 ?49709))) =>= multiply (inverse ?49709) (inverse ?49708) [49709, 49708] by Super 7578 with 7752 at 1,1,1,2
% 4.81/1.59 Id : 8039, {_}: multiply (inverse (multiply ?680 (inverse (multiply (multiply ?681 (multiply ?682 (inverse ?682))) (multiply ?679 ?680))))) (inverse ?679) =>= ?681 [679, 682, 681, 680] by Demod 7421 with 7859 at 2
% 4.81/1.59 Id : 7946, {_}: inverse (multiply (inverse ?50151) (inverse ?50152)) =>= multiply ?50152 ?50151 [50152, 50151] by Super 7429 with 7578 at 1,3
% 4.81/1.59 Id : 1431, {_}: multiply ?9900 (inverse (multiply (multiply (multiply ?9901 (inverse ?9901)) (multiply ?9902 (inverse ?9902))) (multiply ?9903 ?9900))) =>= inverse ?9903 [9903, 9902, 9901, 9900] by Super 5 with 498 at 1,1,1,2,2
% 4.81/1.59 Id : 1443, {_}: multiply (inverse ?9998) (inverse (multiply (multiply (multiply ?9999 (inverse ?9999)) (multiply ?10000 (inverse ?10000))) (multiply (multiply ?10001 (inverse ?10001)) (inverse ?9998)))) =?= inverse (multiply ?10002 (inverse ?10002)) [10002, 10001, 10000, 9999, 9998] by Super 1431 with 528 at 2,1,2,2
% 4.81/1.59 Id : 614, {_}: multiply ?4906 (inverse (multiply (multiply (multiply ?4907 (inverse ?4907)) (multiply ?4908 (inverse ?4908))) (multiply ?4909 ?4906))) =>= inverse ?4909 [4909, 4908, 4907, 4906] by Super 5 with 498 at 1,1,1,2,2
% 4.81/1.59 Id : 1782, {_}: inverse (multiply ?12777 (inverse ?12777)) =?= inverse (multiply ?12778 (inverse ?12778)) [12778, 12777] by Demod 1443 with 614 at 2
% 4.81/1.59 Id : 1472, {_}: inverse (multiply ?10001 (inverse ?10001)) =?= inverse (multiply ?10002 (inverse ?10002)) [10002, 10001] by Demod 1443 with 614 at 2
% 4.81/1.59 Id : 1783, {_}: inverse (multiply ?12780 (inverse ?12780)) =?= inverse (multiply (multiply ?12781 (inverse ?12781)) (inverse (multiply ?12782 (inverse ?12782)))) [12782, 12781, 12780] by Super 1782 with 1472 at 2,1,3
% 4.81/1.59 Id : 7424, {_}: inverse (multiply ?12780 (inverse ?12780)) =?= inverse (inverse (inverse (inverse (multiply ?12782 (inverse ?12782))))) [12782, 12780] by Demod 1783 with 7365 at 1,3
% 4.81/1.59 Id : 7701, {_}: inverse (multiply ?12780 (inverse ?12780)) =?= multiply ?12782 (inverse ?12782) [12782, 12780] by Demod 7424 with 7578 at 3
% 4.81/1.59 Id : 7974, {_}: inverse (multiply (multiply ?50281 (inverse ?50281)) (inverse ?50282)) =?= multiply ?50282 (multiply ?50283 (inverse ?50283)) [50283, 50282, 50281] by Super 7946 with 7701 at 1,1,2
% 4.81/1.59 Id : 8029, {_}: inverse (inverse (inverse (inverse ?50282))) =<= multiply ?50282 (multiply ?50283 (inverse ?50283)) [50283, 50282] by Demod 7974 with 7365 at 1,2
% 4.81/1.59 Id : 8030, {_}: ?50282 =<= multiply ?50282 (multiply ?50283 (inverse ?50283)) [50283, 50282] by Demod 8029 with 7578 at 2
% 4.81/1.59 Id : 9189, {_}: multiply (inverse (multiply ?680 (inverse (multiply ?681 (multiply ?679 ?680))))) (inverse ?679) =>= ?681 [679, 681, 680] by Demod 8039 with 8030 at 1,1,2,1,1,2
% 4.81/1.59 Id : 7422, {_}: multiply ?4840 (inverse (multiply (inverse ?4841) (inverse (inverse ?4840)))) =>= ?4841 [4841, 4840] by Demod 602 with 7365 at 2,1,2,2
% 4.81/1.59 Id : 7852, {_}: multiply ?4840 (multiply (inverse ?4840) ?4841) =>= ?4841 [4841, 4840] by Demod 7422 with 7752 at 2,2
% 4.81/1.59 Id : 9254, {_}: ?54415 =<= inverse (inverse ?54415) [54415] by Super 7852 with 8030 at 2
% 4.81/1.59 Id : 9484, {_}: inverse (multiply ?49708 ?49709) =<= multiply (inverse ?49709) (inverse ?49708) [49709, 49708] by Demod 7859 with 9254 at 2
% 4.81/1.59 Id : 9495, {_}: inverse (multiply ?679 (multiply ?680 (inverse (multiply ?681 (multiply ?679 ?680))))) =>= ?681 [681, 680, 679] by Demod 9189 with 9484 at 2
% 4.81/1.59 Id : 5814, {_}: multiply ?42 (inverse (multiply (multiply ?43 (multiply ?44 (inverse ?44))) (multiply ?45 ?42))) =?= inverse (multiply (inverse (multiply ?47 (inverse ?47))) (multiply ?43 ?45)) [47, 45, 44, 43, 42] by Demod 9 with 5805 at 3
% 4.81/1.59 Id : 9194, {_}: multiply ?42 (inverse (multiply ?43 (multiply ?45 ?42))) =?= inverse (multiply (inverse (multiply ?47 (inverse ?47))) (multiply ?43 ?45)) [47, 45, 43, 42] by Demod 5814 with 8030 at 1,1,2,2
% 4.81/1.59 Id : 7425, {_}: multiply (inverse (multiply ?14956 (inverse ?14956))) (inverse (inverse ?14958)) =>= ?14958 [14958, 14956] by Demod 2124 with 7365 at 2,2
% 4.81/1.59 Id : 9480, {_}: multiply (inverse (multiply ?14956 (inverse ?14956))) ?14958 =>= ?14958 [14958, 14956] by Demod 7425 with 9254 at 2,2
% 4.81/1.59 Id : 9501, {_}: multiply ?42 (inverse (multiply ?43 (multiply ?45 ?42))) =>= inverse (multiply ?43 ?45) [45, 43, 42] by Demod 9194 with 9480 at 1,3
% 4.81/1.59 Id : 9516, {_}: inverse (multiply ?679 (inverse (multiply ?681 ?679))) =>= ?681 [681, 679] by Demod 9495 with 9501 at 2,1,2
% 4.81/1.59 Id : 7973, {_}: inverse (multiply ?50278 (inverse ?50279)) =<= multiply ?50279 (inverse (inverse (inverse ?50278))) [50279, 50278] by Super 7946 with 7578 at 1,1,2
% 4.81/1.59 Id : 9472, {_}: inverse (multiply ?50278 (inverse ?50279)) =>= multiply ?50279 (inverse ?50278) [50279, 50278] by Demod 7973 with 9254 at 2,3
% 4.81/1.59 Id : 9557, {_}: multiply (multiply ?681 ?679) (inverse ?679) =>= ?681 [679, 681] by Demod 9516 with 9472 at 2
% 4.81/1.59 Id : 9619, {_}: multiply (multiply ?54805 (inverse ?54806)) ?54806 =>= ?54805 [54806, 54805] by Super 9557 with 9254 at 2,2
% 4.81/1.59 Id : 6, {_}: multiply (inverse (multiply ?25 (multiply (multiply (multiply ?26 (inverse ?26)) (inverse (multiply ?27 ?25))) (multiply (multiply ?28 (inverse ?28)) (inverse (multiply ?29 ?30)))))) (inverse (multiply ?30 ?27)) =>= ?29 [30, 29, 28, 27, 26, 25] by Super 3 with 2 at 2,1,2,2
% 4.81/1.59 Id : 5819, {_}: multiply (inverse (multiply ?25 (inverse (multiply (inverse (multiply (multiply ?28 (inverse ?28)) (inverse (multiply ?29 ?30)))) (multiply ?27 ?25))))) (inverse (multiply ?30 ?27)) =>= ?29 [27, 30, 29, 28, 25] by Demod 6 with 5805 at 2,1,1,2
% 4.81/1.59 Id : 7416, {_}: multiply (inverse (multiply ?25 (inverse (multiply (inverse (inverse (inverse (inverse (multiply ?29 ?30))))) (multiply ?27 ?25))))) (inverse (multiply ?30 ?27)) =>= ?29 [27, 30, 29, 25] by Demod 5819 with 7365 at 1,1,1,2,1,1,2
% 4.81/1.59 Id : 7439, {_}: multiply (inverse (multiply ?25 (inverse (inverse (multiply (inverse (multiply ?27 ?25)) (inverse (multiply ?29 ?30))))))) (inverse (multiply ?30 ?27)) =>= ?29 [30, 29, 27, 25] by Demod 7416 with 7429 at 1,2,1,1,2
% 4.81/1.59 Id : 7848, {_}: multiply (inverse (multiply ?25 (inverse (multiply (multiply ?29 ?30) (multiply ?27 ?25))))) (inverse (multiply ?30 ?27)) =>= ?29 [27, 30, 29, 25] by Demod 7439 with 7752 at 1,2,1,1,2
% 4.81/1.59 Id : 9492, {_}: inverse (multiply (multiply ?30 ?27) (multiply ?25 (inverse (multiply (multiply ?29 ?30) (multiply ?27 ?25))))) =>= ?29 [29, 25, 27, 30] by Demod 7848 with 9484 at 2
% 4.81/1.60 Id : 9522, {_}: inverse (multiply (multiply ?30 ?27) (inverse (multiply (multiply ?29 ?30) ?27))) =>= ?29 [29, 27, 30] by Demod 9492 with 9501 at 2,1,2
% 4.81/1.60 Id : 9558, {_}: multiply (multiply (multiply ?29 ?30) ?27) (inverse (multiply ?30 ?27)) =>= ?29 [27, 30, 29] by Demod 9522 with 9472 at 2
% 4.81/1.60 Id : 9627, {_}: multiply ?54834 (multiply ?54835 ?54836) =<= multiply (multiply ?54834 ?54835) ?54836 [54836, 54835, 54834] by Super 9619 with 9558 at 1,2
% 4.81/1.60 Id : 9753, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 9627 at 2
% 4.81/1.60 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 4.81/1.60 % SZS output end CNFRefutation for theBenchmark.p
% 4.81/1.60 26133: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 1.240507 using kbo
%------------------------------------------------------------------------------