TSTP Solution File: GRP686-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP686-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n022.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 10:31:36 EDT 2022
% Result : Unsatisfiable 10.79s 3.01s
% Output : CNFRefutation 10.81s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP686-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 18:42:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 26342: Facts:
% 0.12/0.34 26342: Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 0.12/0.34 26342: Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 0.12/0.34 26342: Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 0.12/0.34 26342: Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 0.12/0.34 26342: Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 0.12/0.34 26342: Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 0.12/0.34 26342: Id : 8, {_}:
% 0.12/0.34 mult ?18 (mult ?19 (mult ?19 ?20))
% 0.12/0.34 =?=
% 0.12/0.34 mult (mult ?18 (mult ?19 ?19)) ?20
% 0.12/0.34 [20, 19, 18] by c07 ?18 ?19 ?20
% 0.12/0.34 26342: Goal:
% 0.12/0.34 26342: Id : 1, {_}:
% 0.12/0.34 mult (mult a a) (mult b c) =<= mult (mult a (mult a b)) c
% 0.12/0.34 [] by goals
% 10.79/3.01 Statistics :
% 10.79/3.01 Max weight : 17
% 10.79/3.01 Found proof, 2.667956s
% 10.79/3.01 % SZS status Unsatisfiable for theBenchmark.p
% 10.79/3.01 % SZS output start CNFRefutation for theBenchmark.p
% 10.79/3.01 Id : 19, {_}: rd (mult ?49 ?50) ?50 =>= ?49 [50, 49] by c04 ?49 ?50
% 10.79/3.01 Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 10.79/3.01 Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 10.79/3.01 Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 10.79/3.01 Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 10.79/3.01 Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 10.79/3.01 Id : 8, {_}: mult ?18 (mult ?19 (mult ?19 ?20)) =<= mult (mult ?18 (mult ?19 ?19)) ?20 [20, 19, 18] by c07 ?18 ?19 ?20
% 10.79/3.01 Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 10.79/3.01 Id : 41, {_}: mult ?101 (mult ?102 (mult ?102 ?103)) =<= mult (mult ?101 (mult ?102 ?102)) ?103 [103, 102, 101] by c07 ?101 ?102 ?103
% 10.79/3.01 Id : 46, {_}: mult unit (mult ?120 (mult ?120 ?121)) =>= mult (mult ?120 ?120) ?121 [121, 120] by Super 41 with 7 at 1,3
% 10.79/3.01 Id : 60, {_}: mult ?120 (mult ?120 ?121) =<= mult (mult ?120 ?120) ?121 [121, 120] by Demod 46 with 7 at 2
% 10.79/3.01 Id : 15, {_}: ld (rd ?38 ?39) ?38 =>= ?39 [39, 38] by Super 3 with 4 at 2,2
% 10.79/3.01 Id : 179, {_}: rd (mult ?285 (mult ?285 ?286)) ?286 =>= mult ?285 ?285 [286, 285] by Super 5 with 60 at 1,2
% 10.79/3.01 Id : 180, {_}: rd (mult ?288 ?289) (ld ?288 ?289) =>= mult ?288 ?288 [289, 288] by Super 179 with 2 at 2,1,2
% 10.79/3.01 Id : 658, {_}: ld (mult ?830 ?830) (mult ?830 ?831) =>= ld ?830 ?831 [831, 830] by Super 15 with 180 at 1,2
% 10.79/3.01 Id : 659, {_}: ld (mult ?833 ?833) ?834 =>= ld ?833 (ld ?833 ?834) [834, 833] by Super 658 with 2 at 2,2
% 10.79/3.01 Id : 210, {_}: rd (mult ?324 ?325) (ld ?324 ?325) =>= mult ?324 ?324 [325, 324] by Super 179 with 2 at 2,1,2
% 10.79/3.01 Id : 305, {_}: rd ?472 (ld ?472 unit) =>= mult ?472 ?472 [472] by Super 210 with 6 at 1,2
% 10.79/3.01 Id : 308, {_}: rd (rd unit ?478) ?478 =<= mult (rd unit ?478) (rd unit ?478) [478] by Super 305 with 15 at 2,2
% 10.79/3.01 Id : 430, {_}: mult (rd unit ?581) (mult (rd unit ?581) ?582) =>= mult (rd (rd unit ?581) ?581) ?582 [582, 581] by Super 60 with 308 at 1,3
% 10.79/3.01 Id : 1041, {_}: rd (mult ?1154 (mult ?1155 (mult ?1155 ?1156))) ?1156 =>= mult ?1154 (mult ?1155 ?1155) [1156, 1155, 1154] by Super 5 with 8 at 1,2
% 10.79/3.01 Id : 4623, {_}: rd (mult ?3853 (mult ?3854 ?3855)) (ld ?3854 ?3855) =>= mult ?3853 (mult ?3854 ?3854) [3855, 3854, 3853] by Super 1041 with 2 at 2,2,1,2
% 10.79/3.01 Id : 4793, {_}: rd (mult ?4061 ?4062) (ld ?4062 unit) =>= mult ?4061 (mult ?4062 ?4062) [4062, 4061] by Super 4623 with 6 at 2,1,2
% 10.79/3.01 Id : 4810, {_}: rd ?4109 (ld ?4110 unit) =<= mult (rd ?4109 ?4110) (mult ?4110 ?4110) [4110, 4109] by Super 4793 with 4 at 1,2
% 10.79/3.01 Id : 5084, {_}: mult (rd unit ?4378) (rd unit (ld ?4378 unit)) =<= mult (rd (rd unit ?4378) ?4378) (mult ?4378 ?4378) [4378] by Super 430 with 4810 at 2,2
% 10.79/3.01 Id : 20, {_}: rd ?52 (ld ?53 ?52) =>= ?53 [53, 52] by Super 19 with 2 at 1,2
% 10.79/3.01 Id : 5124, {_}: mult (rd unit ?4378) ?4378 =<= mult (rd (rd unit ?4378) ?4378) (mult ?4378 ?4378) [4378] by Demod 5084 with 20 at 2,2
% 10.79/3.01 Id : 5125, {_}: mult (rd unit ?4378) ?4378 =<= rd (rd unit ?4378) (ld ?4378 unit) [4378] by Demod 5124 with 4810 at 3
% 10.79/3.01 Id : 5126, {_}: unit =<= rd (rd unit ?4378) (ld ?4378 unit) [4378] by Demod 5125 with 4 at 2
% 10.79/3.01 Id : 5183, {_}: ld unit (rd unit ?4487) =>= ld ?4487 unit [4487] by Super 15 with 5126 at 1,2
% 10.79/3.01 Id : 30, {_}: ld unit ?74 =>= ?74 [74] by Super 3 with 7 at 2,2
% 10.79/3.01 Id : 5248, {_}: rd unit ?4487 =<= ld ?4487 unit [4487] by Demod 5183 with 30 at 2
% 10.79/3.01 Id : 5298, {_}: rd unit (mult ?4565 ?4565) =<= ld ?4565 (ld ?4565 unit) [4565] by Super 659 with 5248 at 2
% 10.79/3.01 Id : 5344, {_}: rd unit (mult ?4565 ?4565) =<= ld ?4565 (rd unit ?4565) [4565] by Demod 5298 with 5248 at 2,3
% 10.79/3.01 Id : 5682, {_}: mult ?4828 (rd unit (mult ?4828 ?4828)) =>= rd unit ?4828 [4828] by Super 2 with 5344 at 2,2
% 10.79/3.01 Id : 45, {_}: mult (rd ?116 (mult ?117 ?117)) (mult ?117 (mult ?117 ?118)) =>= mult ?116 ?118 [118, 117, 116] by Super 41 with 4 at 1,3
% 10.79/3.01 Id : 6196, {_}: mult (rd ?5103 (mult ?5104 ?5104)) (mult ?5104 (rd unit ?5104)) =>= mult ?5103 (rd unit (mult ?5104 ?5104)) [5104, 5103] by Super 45 with 5682 at 2,2,2
% 10.79/3.01 Id : 5303, {_}: mult ?4574 (rd unit ?4574) =>= unit [4574] by Super 2 with 5248 at 2,2
% 10.79/3.01 Id : 6260, {_}: mult (rd ?5103 (mult ?5104 ?5104)) unit =>= mult ?5103 (rd unit (mult ?5104 ?5104)) [5104, 5103] by Demod 6196 with 5303 at 2,2
% 10.79/3.01 Id : 6261, {_}: rd ?5103 (mult ?5104 ?5104) =<= mult ?5103 (rd unit (mult ?5104 ?5104)) [5104, 5103] by Demod 6260 with 6 at 2
% 10.79/3.01 Id : 6595, {_}: rd ?4828 (mult ?4828 ?4828) =>= rd unit ?4828 [4828] by Demod 5682 with 6261 at 2
% 10.79/3.01 Id : 20223, {_}: rd (mult ?13033 ?13034) (mult ?13035 (mult ?13035 ?13034)) =>= rd ?13033 (mult ?13035 ?13035) [13035, 13034, 13033] by Super 5 with 45 at 1,2
% 10.79/3.01 Id : 20263, {_}: rd ?13205 (mult ?13206 (mult ?13206 ?13207)) =<= rd (rd ?13205 ?13207) (mult ?13206 ?13206) [13207, 13206, 13205] by Super 20223 with 4 at 1,2
% 10.79/3.01 Id : 20413, {_}: rd ?13396 (mult (rd ?13396 ?13397) (mult (rd ?13396 ?13397) ?13397)) =>= rd unit (rd ?13396 ?13397) [13397, 13396] by Super 6595 with 20263 at 2
% 10.79/3.01 Id : 21316, {_}: rd ?14197 (mult (rd ?14197 ?14198) ?14197) =>= rd unit (rd ?14197 ?14198) [14198, 14197] by Demod 20413 with 4 at 2,2,2
% 10.79/3.01 Id : 21318, {_}: rd ?14203 (mult ?14204 ?14203) =<= rd unit (rd ?14203 (ld ?14204 ?14203)) [14204, 14203] by Super 21316 with 20 at 1,2,2
% 10.79/3.01 Id : 21639, {_}: rd ?14203 (mult ?14204 ?14203) =>= rd unit ?14204 [14204, 14203] by Demod 21318 with 20 at 2,3
% 10.79/3.01 Id : 22077, {_}: ld (rd unit ?14653) ?14654 =>= mult ?14653 ?14654 [14654, 14653] by Super 15 with 21639 at 1,2
% 10.79/3.01 Id : 5300, {_}: rd unit (rd unit ?4569) =>= ?4569 [4569] by Super 20 with 5248 at 2,2
% 10.79/3.01 Id : 22086, {_}: ld ?14677 ?14678 =<= mult (rd unit ?14677) ?14678 [14678, 14677] by Super 22077 with 5300 at 1,2
% 10.79/3.01 Id : 22637, {_}: mult (rd unit ?15171) (mult ?15172 (mult ?15172 ?15173)) =>= mult (ld ?15171 (mult ?15172 ?15172)) ?15173 [15173, 15172, 15171] by Super 8 with 22086 at 1,3
% 10.79/3.01 Id : 23069, {_}: ld ?15171 (mult ?15172 (mult ?15172 ?15173)) =<= mult (ld ?15171 (mult ?15172 ?15172)) ?15173 [15173, 15172, 15171] by Demod 22637 with 22086 at 2
% 10.79/3.01 Id : 1870, {_}: ld (rd ?1735 (mult ?1736 ?1736)) (mult ?1735 ?1737) =>= mult ?1736 (mult ?1736 ?1737) [1737, 1736, 1735] by Super 3 with 45 at 2,2
% 10.79/3.01 Id : 70183, {_}: ld (rd ?43807 (mult ?43808 ?43808)) (mult ?43807 (mult ?43807 ?43809)) =>= mult (mult ?43808 (mult ?43808 ?43807)) ?43809 [43809, 43808, 43807] by Super 23069 with 1870 at 1,3
% 10.79/3.01 Id : 70409, {_}: mult ?43808 (mult ?43808 (mult ?43807 ?43809)) =<= mult (mult ?43808 (mult ?43808 ?43807)) ?43809 [43809, 43807, 43808] by Demod 70183 with 1870 at 2
% 10.79/3.01 Id : 71979, {_}: mult a (mult a (mult b c)) =?= mult a (mult a (mult b c)) [] by Demod 71978 with 70409 at 3
% 10.79/3.01 Id : 71978, {_}: mult a (mult a (mult b c)) =<= mult (mult a (mult a b)) c [] by Demod 1 with 60 at 2
% 10.81/3.01 Id : 1, {_}: mult (mult a a) (mult b c) =<= mult (mult a (mult a b)) c [] by goals
% 10.81/3.01 % SZS output end CNFRefutation for theBenchmark.p
% 10.81/3.01 26343: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 2.669318 using kbo
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