TSTP Solution File: LAT012-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : LAT012-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n032.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 : Sun Jul 17 05:55:35 EDT 2022
% Result : Unsatisfiable 1.70s 0.73s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : LAT012-1 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.11 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Wed Jun 29 13:30:43 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.11/0.31 24881: Facts:
% 0.16/0.31 24881: Id : 2, {_}:
% 0.16/0.31 join ?2 (meet ?3 (meet ?2 ?4)) =>= ?2
% 0.16/0.31 [4, 3, 2] by mckenzie1 ?2 ?3 ?4
% 0.16/0.31 24881: Id : 3, {_}:
% 0.16/0.31 meet ?6 (join ?7 (join ?6 ?8)) =>= ?6
% 0.16/0.31 [8, 7, 6] by mckenzie2 ?6 ?7 ?8
% 0.16/0.31 24881: Id : 4, {_}:
% 0.16/0.31 join (join (meet ?10 ?11) (meet ?11 ?12)) ?11 =>= ?11
% 0.16/0.31 [12, 11, 10] by mckenzie3 ?10 ?11 ?12
% 0.16/0.31 24881: Id : 5, {_}:
% 0.16/0.31 meet (meet (join ?14 ?15) (join ?15 ?16)) ?15 =>= ?15
% 0.16/0.31 [16, 15, 14] by mckenzie4 ?14 ?15 ?16
% 0.16/0.31 24881: Goal:
% 0.16/0.31 24881: Id : 1, {_}: meet b a =<= meet a b [] by prove_commutativity_of_meet
% 1.70/0.73 Statistics :
% 1.70/0.73 Max weight : 22
% 1.70/0.73 Found proof, 0.425650s
% 1.70/0.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.70/0.73 % SZS output start CNFRefutation for theBenchmark.p
% 1.70/0.73 Id : 14, {_}: join (join (meet ?44 ?45) (meet ?45 ?46)) ?45 =>= ?45 [46, 45, 44] by mckenzie3 ?44 ?45 ?46
% 1.70/0.73 Id : 3, {_}: meet ?6 (join ?7 (join ?6 ?8)) =>= ?6 [8, 7, 6] by mckenzie2 ?6 ?7 ?8
% 1.70/0.73 Id : 5, {_}: meet (meet (join ?14 ?15) (join ?15 ?16)) ?15 =>= ?15 [16, 15, 14] by mckenzie4 ?14 ?15 ?16
% 1.70/0.73 Id : 2, {_}: join ?2 (meet ?3 (meet ?2 ?4)) =>= ?2 [4, 3, 2] by mckenzie1 ?2 ?3 ?4
% 1.70/0.73 Id : 9, {_}: meet ?27 (join ?28 (join ?27 ?29)) =>= ?27 [29, 28, 27] by mckenzie2 ?27 ?28 ?29
% 1.70/0.73 Id : 10, {_}: meet ?31 (join ?32 ?31) =>= ?31 [32, 31] by Super 9 with 2 at 2,2,2
% 1.70/0.73 Id : 20, {_}: join ?66 (meet ?66 ?67) =>= ?66 [67, 66] by Super 2 with 5 at 2,2
% 1.70/0.73 Id : 158, {_}: meet (meet ?420 ?421) ?420 =>= meet ?420 ?421 [421, 420] by Super 10 with 20 at 2,2
% 1.70/0.73 Id : 8, {_}: join ?24 (meet ?25 ?24) =>= ?24 [25, 24] by Super 2 with 3 at 2,2,2
% 1.70/0.73 Id : 5385, {_}: meet (meet ?9925 (join (meet ?9926 ?9925) ?9927)) (meet ?9926 ?9925) =>= meet ?9926 ?9925 [9927, 9926, 9925] by Super 5 with 8 at 1,1,2
% 1.70/0.73 Id : 143, {_}: join (meet ?394 ?395) ?395 =>= ?395 [395, 394] by Super 14 with 2 at 1,2
% 1.70/0.73 Id : 586, {_}: join ?1281 (join ?1282 ?1281) =>= join ?1282 ?1281 [1282, 1281] by Super 143 with 10 at 1,2
% 1.70/0.73 Id : 593, {_}: join (meet ?1308 ?1309) ?1308 =?= join ?1308 (meet ?1308 ?1309) [1309, 1308] by Super 586 with 20 at 2,2
% 1.70/0.73 Id : 632, {_}: join (meet ?1308 ?1309) ?1308 =>= ?1308 [1309, 1308] by Demod 593 with 20 at 3
% 1.70/0.73 Id : 5446, {_}: meet (meet ?10201 ?10202) (meet ?10202 ?10201) =>= meet ?10202 ?10201 [10202, 10201] by Super 5385 with 632 at 2,1,2
% 1.70/0.73 Id : 11394, {_}: meet (meet ?21531 ?21532) (meet ?21532 ?21531) =?= meet (meet ?21532 ?21531) (meet ?21531 ?21532) [21532, 21531] by Super 158 with 5446 at 1,2
% 1.70/0.73 Id : 11547, {_}: meet ?21532 ?21531 =<= meet (meet ?21532 ?21531) (meet ?21531 ?21532) [21531, 21532] by Demod 11394 with 5446 at 2
% 1.70/0.73 Id : 11548, {_}: meet ?21532 ?21531 =?= meet ?21531 ?21532 [21531, 21532] by Demod 11547 with 5446 at 3
% 1.70/0.73 Id : 12249, {_}: meet b a === meet b a [] by Demod 1 with 11548 at 3
% 1.70/0.73 Id : 1, {_}: meet b a =<= meet a b [] by prove_commutativity_of_meet
% 1.70/0.73 % SZS output end CNFRefutation for theBenchmark.p
% 1.70/0.73 24881: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.427871 using nrkbo
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