TSTP Solution File: LAT039-1 by Matita---1.0
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% File : Matita---1.0
% Problem : LAT039-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/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 05:55:43 EDT 2022
% Result : Unsatisfiable 0.21s 0.37s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LAT039-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 30 10:47:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 24061: Facts:
% 0.14/0.35 24061: Id : 2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
% 0.14/0.35 24061: Id : 3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
% 0.14/0.35 24061: Id : 4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
% 0.14/0.35 24061: Id : 5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
% 0.14/0.35 24061: Id : 6, {_}:
% 0.14/0.35 meet ?12 ?13 =?= meet ?13 ?12
% 0.14/0.35 [13, 12] by commutativity_of_meet ?12 ?13
% 0.14/0.35 24061: Id : 7, {_}:
% 0.14/0.35 join ?15 ?16 =?= join ?16 ?15
% 0.14/0.35 [16, 15] by commutativity_of_join ?15 ?16
% 0.14/0.35 24061: Id : 8, {_}:
% 0.14/0.35 meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
% 0.14/0.35 [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
% 0.14/0.35 24061: Id : 9, {_}:
% 0.14/0.35 join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
% 0.14/0.35 [24, 23, 22] by associativity_of_join ?22 ?23 ?24
% 0.14/0.35 24061: Id : 10, {_}:
% 0.14/0.35 join ?26 (meet ?27 ?28) =<= meet (join ?26 ?27) (join ?26 ?28)
% 0.14/0.35 [28, 27, 26] by dist_join ?26 ?27 ?28
% 0.14/0.35 24061: Id : 11, {_}:
% 0.14/0.35 meet ?30 (join ?31 ?32) =<= join (meet ?30 ?31) (meet ?30 ?32)
% 0.14/0.35 [32, 31, 30] by dist_meet ?30 ?31 ?32
% 0.14/0.35 24061: Id : 12, {_}: join xx yy =>= yy [] by lhs
% 0.14/0.35 24061: Goal:
% 0.14/0.35 24061: Id : 1, {_}: join xx (meet yy zz) =>= meet yy (join xx zz) [] by rhs
% 0.21/0.37 Statistics :
% 0.21/0.37 Max weight : 11
% 0.21/0.37 Found proof, 0.019868s
% 0.21/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.21/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.21/0.37 Id : 12, {_}: join xx yy =>= yy [] by lhs
% 0.21/0.37 Id : 10, {_}: join ?26 (meet ?27 ?28) =<= meet (join ?26 ?27) (join ?26 ?28) [28, 27, 26] by dist_join ?26 ?27 ?28
% 0.21/0.37 Id : 192, {_}: join xx (meet yy ?593) =>= meet yy (join xx ?593) [593] by Super 10 with 12 at 1,3
% 0.21/0.37 Id : 247, {_}: meet yy (join xx zz) === meet yy (join xx zz) [] by Demod 1 with 192 at 2
% 0.21/0.37 Id : 1, {_}: join xx (meet yy zz) =>= meet yy (join xx zz) [] by rhs
% 0.21/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.37 24064: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.021229 using nrkbo
% 0.21/0.37 Statistics :
% 0.21/0.37 Max weight : 11
% 0.21/0.37 Found proof, 0.020389s
% 0.21/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.21/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.21/0.37 Id : 12, {_}: join xx yy =>= yy [] by lhs
% 0.21/0.37 Id : 10, {_}: join ?26 (meet ?27 ?28) =<= meet (join ?26 ?27) (join ?26 ?28) [28, 27, 26] by dist_join ?26 ?27 ?28
% 0.21/0.37 Id : 190, {_}: join xx (meet yy ?413) =>= meet yy (join xx ?413) [413] by Super 10 with 12 at 1,3
% 0.21/0.37 Id : 311, {_}: meet yy (join xx zz) =?= meet yy (join xx zz) [] by Demod 1 with 190 at 2
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