TSTP Solution File: BOO071-1 by Matita---1.0
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% File : Matita---1.0
% Problem : BOO071-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n021.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 : Thu Jul 14 23:44:19 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : BOO071-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34 % Computer : n021.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 : Wed Jun 1 18:56:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 25074: Facts:
% 0.12/0.34 25074: Id : 2, {_}:
% 0.12/0.34 multiply (multiply ?2 (inverse ?2) ?3)
% 0.12/0.34 (inverse (multiply (multiply ?4 ?5 ?6) ?7 (multiply ?4 ?5 ?8)))
% 0.12/0.34 (multiply ?5 (multiply ?8 ?7 ?6) ?4)
% 0.12/0.34 =>=
% 0.12/0.34 ?3
% 0.12/0.34 [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
% 0.12/0.34 25074: Goal:
% 0.12/0.34 25074: Id : 1, {_}: multiply (inverse b) b a =>= a [] by prove_tba_axioms_5
% 0.19/0.49 Statistics :
% 0.19/0.49 Max weight : 63
% 0.19/0.49 Found proof, 0.145809s
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.49 Id : 3, {_}: multiply (multiply ?10 (inverse ?10) ?11) (inverse (multiply (multiply ?12 ?13 ?14) ?15 (multiply ?12 ?13 ?16))) (multiply ?13 (multiply ?16 ?15 ?14) ?12) =>= ?11 [16, 15, 14, 13, 12, 11, 10] by single_axiom ?10 ?11 ?12 ?13 ?14 ?15 ?16
% 0.19/0.49 Id : 2, {_}: multiply (multiply ?2 (inverse ?2) ?3) (inverse (multiply (multiply ?4 ?5 ?6) ?7 (multiply ?4 ?5 ?8))) (multiply ?5 (multiply ?8 ?7 ?6) ?4) =>= ?3 [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
% 0.19/0.49 Id : 7, {_}: multiply (multiply ?54 ?55 ?56) (inverse (multiply (multiply ?57 ?58 ?59) ?60 (multiply ?57 ?58 ?61))) (multiply ?58 (multiply ?61 ?60 ?59) ?57) =?= multiply ?55 (multiply ?56 (inverse (multiply ?54 ?55 ?62)) ?62) ?54 [62, 61, 60, 59, 58, 57, 56, 55, 54] by Super 3 with 2 at 1,2
% 0.19/0.49 Id : 19, {_}: multiply (inverse ?198) (multiply ?199 (inverse (multiply ?198 (inverse ?198) ?200)) ?200) ?198 =>= ?199 [200, 199, 198] by Super 2 with 7 at 2
% 0.19/0.49 Id : 29, {_}: multiply (multiply ?332 (inverse ?332) ?333) (inverse (multiply (multiply ?334 ?335 ?336) (multiply ?337 (inverse (multiply ?336 (inverse ?336) ?338)) ?338) (multiply ?334 ?335 (inverse ?336)))) (multiply ?335 ?337 ?334) =>= ?333 [338, 337, 336, 335, 334, 333, 332] by Super 2 with 19 at 2,3,2
% 0.19/0.49 Id : 376, {_}: multiply (multiply ?2952 (inverse ?2952) ?2953) (inverse ?2954) (multiply (inverse ?2955) (multiply ?2956 (inverse (multiply (multiply ?2956 ?2955 ?2957) (multiply (inverse ?2955) (inverse (multiply ?2957 (inverse ?2957) ?2958)) ?2958) (multiply ?2956 ?2955 (inverse ?2957)))) ?2954) ?2955) =>= ?2953 [2958, 2957, 2956, 2955, 2954, 2953, 2952] by Super 2 with 29 at 1,2,2
% 0.19/0.49 Id : 406, {_}: multiply (multiply ?3280 (inverse ?3280) ?3281) (inverse (multiply ?3282 (inverse ?3282) (multiply ?3283 (inverse ?3283) ?3284))) (multiply (inverse ?3282) ?3284 ?3282) =>= ?3281 [3284, 3283, 3282, 3281, 3280] by Super 376 with 29 at 2,3,2
% 0.19/0.49 Id : 130, {_}: multiply (multiply ?938 (inverse ?938) ?939) (inverse ?940) (multiply (inverse ?941) (multiply ?942 (inverse (multiply (multiply ?942 ?941 ?943) (multiply (inverse ?941) (inverse (multiply ?943 (inverse ?943) ?944)) ?944) (multiply ?942 ?941 (inverse ?943)))) ?940) ?941) =>= ?939 [944, 943, 942, 941, 940, 939, 938] by Super 2 with 29 at 1,2,2
% 0.19/0.49 Id : 457, {_}: multiply (multiply ?3597 (inverse ?3597) ?3598) (inverse ?3599) (multiply (inverse ?3600) (multiply ?3601 (inverse (multiply (multiply ?3601 ?3600 ?3602) (multiply (inverse ?3600) (inverse (multiply ?3602 (inverse ?3602) ?3603)) ?3603) (multiply ?3601 ?3600 (inverse ?3602)))) ?3599) ?3600) =?= multiply (inverse ?3604) ?3598 ?3604 [3604, 3603, 3602, 3601, 3600, 3599, 3598, 3597] by Super 130 with 406 at 1,2
% 0.19/0.49 Id : 485, {_}: ?3598 =<= multiply (inverse ?3604) ?3598 ?3604 [3604, 3598] by Demod 457 with 130 at 2
% 0.19/0.49 Id : 513, {_}: multiply (multiply ?3280 (inverse ?3280) ?3281) (inverse (multiply ?3282 (inverse ?3282) (multiply ?3283 (inverse ?3283) ?3284))) ?3284 =>= ?3281 [3284, 3283, 3282, 3281, 3280] by Demod 406 with 485 at 3,2
% 0.19/0.49 Id : 514, {_}: multiply ?199 (inverse (multiply ?198 (inverse ?198) ?200)) ?200 =>= ?199 [200, 198, 199] by Demod 19 with 485 at 2
% 0.19/0.49 Id : 550, {_}: multiply ?4028 (inverse (inverse (inverse ?4029))) ?4029 =>= ?4028 [4029, 4028] by Super 514 with 485 at 1,2,2
% 0.19/0.49 Id : 633, {_}: inverse (inverse (inverse ?4236)) =>= inverse ?4236 [4236] by Super 485 with 550 at 3
% 0.19/0.49 Id : 651, {_}: ?4320 =<= multiply (inverse ?4321) ?4320 (inverse (inverse ?4321)) [4321, 4320] by Super 485 with 633 at 1,3
% 0.19/0.49 Id : 729, {_}: multiply (multiply ?4713 (inverse ?4713) ?4714) (inverse (multiply ?4715 (inverse ?4715) (inverse (inverse ?4716)))) (inverse (inverse ?4716)) =>= ?4714 [4716, 4715, 4714, 4713] by Super 513 with 651 at 3,1,2,2
% 0.19/0.49 Id : 743, {_}: multiply ?4713 (inverse ?4713) ?4714 =>= ?4714 [4714, 4713] by Demod 729 with 514 at 2
% 0.19/0.49 Id : 783, {_}: inverse (inverse ?4813) =>= ?4813 [4813] by Super 485 with 743 at 3
% 0.19/0.49 Id : 828, {_}: multiply (inverse ?4917) ?4917 ?4918 =>= ?4918 [4918, 4917] by Super 743 with 783 at 2,2
% 0.19/0.49 Id : 952, {_}: a === a [] by Demod 1 with 828 at 2
% 0.19/0.49 Id : 1, {_}: multiply (inverse b) b a =>= a [] by prove_tba_axioms_5
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.49 25077: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.147344 using nrkbo
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