TSTP Solution File: LAT031-1 by Matita---1.0
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% File : Matita---1.0
% Problem : LAT031-1 : 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 0.19s 0.41s
% 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 : LAT031-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 29 01:06:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 3403: Facts:
% 0.13/0.34 3403: Id : 2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
% 0.13/0.34 3403: Id : 3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
% 0.13/0.34 3403: Id : 4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
% 0.13/0.34 3403: Id : 5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
% 0.13/0.34 3403: Id : 6, {_}:
% 0.13/0.34 meet ?12 ?13 =?= meet ?13 ?12
% 0.13/0.34 [13, 12] by commutativity_of_meet ?12 ?13
% 0.13/0.34 3403: Id : 7, {_}:
% 0.13/0.34 join ?15 ?16 =?= join ?16 ?15
% 0.13/0.34 [16, 15] by commutativity_of_join ?15 ?16
% 0.13/0.34 3403: Id : 8, {_}:
% 0.13/0.34 meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
% 0.13/0.34 [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
% 0.13/0.34 3403: Id : 9, {_}:
% 0.13/0.34 join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
% 0.13/0.34 [24, 23, 22] by associativity_of_join ?22 ?23 ?24
% 0.13/0.34 3403: Id : 10, {_}:
% 0.13/0.34 meet ?26 (join ?27 ?28) =<= join (meet ?26 ?27) (meet ?26 ?28)
% 0.13/0.34 [28, 27, 26] by dist_meet ?26 ?27 ?28
% 0.13/0.34 3403: Goal:
% 0.13/0.34 3403: Id : 1, {_}:
% 0.13/0.34 join xx (meet yy zz) =<= meet (join xx yy) (join xx zz)
% 0.13/0.34 [] by dist_join
% 0.19/0.41 Statistics :
% 0.19/0.41 Max weight : 15
% 0.19/0.41 Found proof, 0.068797s
% 0.19/0.41 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.41 Id : 5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
% 0.19/0.41 Id : 73, {_}: join (join ?185 ?186) ?187 =>= join ?185 (join ?186 ?187) [187, 186, 185] by associativity_of_join ?185 ?186 ?187
% 0.19/0.41 Id : 2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
% 0.19/0.41 Id : 9, {_}: join (join ?22 ?23) ?24 =>= join ?22 (join ?23 ?24) [24, 23, 22] by associativity_of_join ?22 ?23 ?24
% 0.19/0.41 Id : 6, {_}: meet ?12 ?13 =?= meet ?13 ?12 [13, 12] by commutativity_of_meet ?12 ?13
% 0.19/0.41 Id : 10, {_}: meet ?26 (join ?27 ?28) =>= join (meet ?26 ?27) (meet ?26 ?28) [28, 27, 26] by dist_meet ?26 ?27 ?28
% 0.19/0.41 Id : 75, {_}: join ?192 ?193 =<= join ?192 (join (meet ?192 ?194) ?193) [194, 193, 192] by Super 73 with 5 at 1,2
% 0.19/0.41 Id : 672, {_}: join xx (meet yy zz) === join xx (meet yy zz) [] by Demod 671 with 75 at 3
% 0.19/0.41 Id : 671, {_}: join xx (meet yy zz) =<= join xx (join (meet xx zz) (meet yy zz)) [] by Demod 670 with 75 at 3
% 0.19/0.41 Id : 670, {_}: join xx (meet yy zz) =<= join xx (join (meet xx yy) (join (meet xx zz) (meet yy zz))) [] by Demod 669 with 6 at 2,2,2,3
% 0.19/0.41 Id : 669, {_}: join xx (meet yy zz) =<= join xx (join (meet xx yy) (join (meet xx zz) (meet zz yy))) [] by Demod 668 with 6 at 1,2,2,3
% 0.19/0.41 Id : 668, {_}: join xx (meet yy zz) =<= join xx (join (meet xx yy) (join (meet zz xx) (meet zz yy))) [] by Demod 667 with 2 at 1,3
% 0.19/0.41 Id : 667, {_}: join xx (meet yy zz) =<= join (meet xx xx) (join (meet xx yy) (join (meet zz xx) (meet zz yy))) [] by Demod 666 with 9 at 3
% 0.19/0.41 Id : 666, {_}: join xx (meet yy zz) =<= join (join (meet xx xx) (meet xx yy)) (join (meet zz xx) (meet zz yy)) [] by Demod 665 with 10 at 2,3
% 0.19/0.41 Id : 665, {_}: join xx (meet yy zz) =<= join (join (meet xx xx) (meet xx yy)) (meet zz (join xx yy)) [] by Demod 664 with 10 at 1,3
% 0.19/0.41 Id : 664, {_}: join xx (meet yy zz) =<= join (meet xx (join xx yy)) (meet zz (join xx yy)) [] by Demod 663 with 6 at 2,3
% 0.19/0.41 Id : 663, {_}: join xx (meet yy zz) =<= join (meet xx (join xx yy)) (meet (join xx yy) zz) [] by Demod 662 with 6 at 1,3
% 0.19/0.41 Id : 662, {_}: join xx (meet yy zz) =<= join (meet (join xx yy) xx) (meet (join xx yy) zz) [] by Demod 1 with 10 at 3
% 0.19/0.41 Id : 1, {_}: join xx (meet yy zz) =<= meet (join xx yy) (join xx zz) [] by dist_join
% 0.19/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.41 3405: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.071148 using lpo
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