TSTP Solution File: LAT032-1 by Matita---1.0
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% File : Matita---1.0
% Problem : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n008.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 05:55:41 EDT 2022
% Result : Unsatisfiable 0.20s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n008.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 29 23:38:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 2667: Facts:
% 0.13/0.35 2667: Id : 2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
% 0.13/0.35 2667: Id : 3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
% 0.13/0.35 2667: Id : 4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
% 0.13/0.35 2667: Id : 5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
% 0.13/0.35 2667: Id : 6, {_}:
% 0.13/0.35 meet ?12 ?13 =?= meet ?13 ?12
% 0.13/0.35 [13, 12] by commutativity_of_meet ?12 ?13
% 0.13/0.35 2667: Id : 7, {_}:
% 0.13/0.35 join ?15 ?16 =?= join ?16 ?15
% 0.13/0.35 [16, 15] by commutativity_of_join ?15 ?16
% 0.13/0.35 2667: Id : 8, {_}:
% 0.13/0.35 meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
% 0.13/0.35 [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
% 0.13/0.35 2667: Id : 9, {_}:
% 0.13/0.35 join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
% 0.13/0.35 [24, 23, 22] by associativity_of_join ?22 ?23 ?24
% 0.13/0.35 2667: Id : 10, {_}:
% 0.13/0.35 join ?26 (meet ?27 ?28) =<= meet (join ?26 ?27) (join ?26 ?28)
% 0.13/0.35 [28, 27, 26] by dist_join ?26 ?27 ?28
% 0.13/0.35 2667: Goal:
% 0.13/0.35 2667: Id : 1, {_}:
% 0.13/0.35 meet xx (join yy zz) =<= join (meet xx yy) (meet xx zz)
% 0.13/0.35 [] by dist_meet
% 0.20/0.41 Statistics :
% 0.20/0.41 Max weight : 15
% 0.20/0.41 Found proof, 0.062424s
% 0.20/0.41 % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.41 % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.41 Id : 4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
% 0.20/0.41 Id : 52, {_}: meet (meet ?123 ?124) ?125 =>= meet ?123 (meet ?124 ?125) [125, 124, 123] by associativity_of_meet ?123 ?124 ?125
% 0.20/0.41 Id : 3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
% 0.20/0.41 Id : 8, {_}: meet (meet ?18 ?19) ?20 =>= meet ?18 (meet ?19 ?20) [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
% 0.20/0.41 Id : 7, {_}: join ?15 ?16 =?= join ?16 ?15 [16, 15] by commutativity_of_join ?15 ?16
% 0.20/0.41 Id : 10, {_}: join ?26 (meet ?27 ?28) =>= meet (join ?26 ?27) (join ?26 ?28) [28, 27, 26] by dist_join ?26 ?27 ?28
% 0.20/0.41 Id : 54, {_}: meet ?130 ?131 =<= meet ?130 (meet (join ?130 ?132) ?131) [132, 131, 130] by Super 52 with 4 at 1,2
% 0.20/0.41 Id : 574, {_}: meet xx (join yy zz) === meet xx (join yy zz) [] by Demod 573 with 54 at 3
% 0.20/0.41 Id : 573, {_}: meet xx (join yy zz) =<= meet xx (meet (join xx zz) (join yy zz)) [] by Demod 572 with 54 at 3
% 0.20/0.41 Id : 572, {_}: meet xx (join yy zz) =<= meet xx (meet (join xx yy) (meet (join xx zz) (join yy zz))) [] by Demod 571 with 7 at 2,2,2,3
% 0.20/0.41 Id : 571, {_}: meet xx (join yy zz) =<= meet xx (meet (join xx yy) (meet (join xx zz) (join zz yy))) [] by Demod 570 with 7 at 1,2,2,3
% 0.20/0.41 Id : 570, {_}: meet xx (join yy zz) =<= meet xx (meet (join xx yy) (meet (join zz xx) (join zz yy))) [] by Demod 569 with 3 at 1,3
% 0.20/0.41 Id : 569, {_}: meet xx (join yy zz) =<= meet (join xx xx) (meet (join xx yy) (meet (join zz xx) (join zz yy))) [] by Demod 568 with 8 at 3
% 0.20/0.41 Id : 568, {_}: meet xx (join yy zz) =<= meet (meet (join xx xx) (join xx yy)) (meet (join zz xx) (join zz yy)) [] by Demod 567 with 10 at 2,3
% 0.20/0.41 Id : 567, {_}: meet xx (join yy zz) =<= meet (meet (join xx xx) (join xx yy)) (join zz (meet xx yy)) [] by Demod 566 with 10 at 1,3
% 0.20/0.41 Id : 566, {_}: meet xx (join yy zz) =<= meet (join xx (meet xx yy)) (join zz (meet xx yy)) [] by Demod 565 with 7 at 2,3
% 0.20/0.41 Id : 565, {_}: meet xx (join yy zz) =<= meet (join xx (meet xx yy)) (join (meet xx yy) zz) [] by Demod 564 with 7 at 1,3
% 0.20/0.41 Id : 564, {_}: meet xx (join yy zz) =<= meet (join (meet xx yy) xx) (join (meet xx yy) zz) [] by Demod 1 with 10 at 3
% 0.20/0.41 Id : 1, {_}: meet xx (join yy zz) =<= join (meet xx yy) (meet xx zz) [] by dist_meet
% 0.20/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.41 2669: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.064795 using lpo
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