TSTP Solution File: LAT008-1 by Matita---1.0
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% File : Matita---1.0
% Problem : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n028.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 05:55:34 EDT 2022
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.31 % Computer : n028.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 30 06:29:29 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.32 29845: Facts:
% 0.12/0.32 29845: Id : 2, {_}: meet ?2 (join ?2 ?3) =>= ?2 [3, 2] by absorption ?2 ?3
% 0.12/0.32 29845: Id : 3, {_}:
% 0.12/0.32 meet ?5 (join ?6 ?7) =<= join (meet ?7 ?5) (meet ?6 ?5)
% 0.12/0.32 [7, 6, 5] by distribution ?5 ?6 ?7
% 0.12/0.32 29845: Goal:
% 0.12/0.32 29845: Id : 1, {_}: join a (meet a b) =>= a [] by prove_absorbtion_dual
% 0.12/0.36 Statistics :
% 0.12/0.36 Max weight : 16
% 0.12/0.36 Found proof, 0.041528s
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.36 Id : 2, {_}: meet ?2 (join ?2 ?3) =>= ?2 [3, 2] by absorption ?2 ?3
% 0.12/0.36 Id : 3, {_}: meet ?5 (join ?6 ?7) =<= join (meet ?7 ?5) (meet ?6 ?5) [7, 6, 5] by distribution ?5 ?6 ?7
% 0.12/0.36 Id : 37, {_}: meet (meet ?112 ?113) (meet ?113 (join ?114 ?112)) =>= meet ?112 ?113 [114, 113, 112] by Super 2 with 3 at 2,2
% 0.12/0.36 Id : 39, {_}: meet (meet ?121 ?122) ?122 =>= meet ?121 ?122 [122, 121] by Super 37 with 2 at 2,2
% 0.12/0.36 Id : 57, {_}: meet ?154 (join (meet ?155 ?154) ?156) =>= join (meet ?156 ?154) (meet ?155 ?154) [156, 155, 154] by Super 3 with 39 at 2,3
% 0.12/0.36 Id : 81, {_}: meet ?221 (join (meet ?222 ?221) ?223) =>= meet ?221 (join ?222 ?223) [223, 222, 221] by Demod 57 with 3 at 3
% 0.12/0.36 Id : 88, {_}: meet ?253 (meet ?253 (join ?254 ?255)) =>= meet ?253 (join ?255 (meet ?254 ?253)) [255, 254, 253] by Super 81 with 3 at 2,2
% 0.12/0.36 Id : 58, {_}: meet ?158 (join ?159 (meet ?160 ?158)) =>= join (meet ?160 ?158) (meet ?159 ?158) [160, 159, 158] by Super 3 with 39 at 1,3
% 0.12/0.36 Id : 71, {_}: meet ?158 (join ?159 (meet ?160 ?158)) =>= meet ?158 (join ?159 ?160) [160, 159, 158] by Demod 58 with 3 at 3
% 0.12/0.36 Id : 143, {_}: meet ?389 (meet ?389 (join ?390 ?391)) =>= meet ?389 (join ?391 ?390) [391, 390, 389] by Demod 88 with 71 at 3
% 0.12/0.36 Id : 145, {_}: meet ?398 ?398 =<= meet ?398 (join ?399 ?398) [399, 398] by Super 143 with 2 at 2,2
% 0.12/0.36 Id : 170, {_}: meet ?441 ?441 =>= ?441 [441] by Super 2 with 145 at 2
% 0.12/0.36 Id : 201, {_}: meet ?493 (join ?494 ?493) =>= join ?493 (meet ?494 ?493) [494, 493] by Super 3 with 170 at 1,3
% 0.12/0.36 Id : 195, {_}: ?398 =<= meet ?398 (join ?399 ?398) [399, 398] by Demod 145 with 170 at 2
% 0.12/0.36 Id : 216, {_}: ?493 =<= join ?493 (meet ?494 ?493) [494, 493] by Demod 201 with 195 at 2
% 0.12/0.36 Id : 200, {_}: meet ?490 (join ?490 ?491) =>= join (meet ?491 ?490) ?490 [491, 490] by Super 3 with 170 at 2,3
% 0.12/0.36 Id : 239, {_}: ?550 =<= join (meet ?551 ?550) ?550 [551, 550] by Demod 200 with 2 at 2
% 0.12/0.36 Id : 248, {_}: ?583 =<= join ?583 ?583 [583] by Super 239 with 170 at 1,3
% 0.12/0.36 Id : 272, {_}: meet ?615 (meet ?616 ?615) =<= meet ?615 (join (meet ?616 ?615) ?616) [616, 615] by Super 71 with 248 at 2,2
% 0.12/0.36 Id : 70, {_}: meet ?154 (join (meet ?155 ?154) ?156) =>= meet ?154 (join ?155 ?156) [156, 155, 154] by Demod 57 with 3 at 3
% 0.12/0.36 Id : 278, {_}: meet ?615 (meet ?616 ?615) =?= meet ?615 (join ?616 ?616) [616, 615] by Demod 272 with 70 at 3
% 0.12/0.36 Id : 463, {_}: meet ?935 (meet ?936 ?935) =>= meet ?935 ?936 [936, 935] by Demod 278 with 248 at 2,3
% 0.12/0.36 Id : 136, {_}: meet ?253 (meet ?253 (join ?254 ?255)) =>= meet ?253 (join ?255 ?254) [255, 254, 253] by Demod 88 with 71 at 3
% 0.12/0.36 Id : 273, {_}: meet ?618 (meet ?618 ?619) =?= meet ?618 (join ?619 ?619) [619, 618] by Super 136 with 248 at 2,2,2
% 0.12/0.36 Id : 277, {_}: meet ?618 (meet ?618 ?619) =>= meet ?618 ?619 [619, 618] by Demod 273 with 248 at 2,3
% 0.12/0.36 Id : 472, {_}: meet (meet ?966 ?967) (meet ?966 ?967) =>= meet (meet ?966 ?967) ?966 [967, 966] by Super 463 with 277 at 2,2
% 0.12/0.36 Id : 485, {_}: meet ?966 ?967 =<= meet (meet ?966 ?967) ?966 [967, 966] by Demod 472 with 170 at 2
% 0.12/0.36 Id : 650, {_}: ?1256 =<= join ?1256 (meet ?1256 ?1257) [1257, 1256] by Super 216 with 485 at 2,3
% 0.12/0.36 Id : 922, {_}: a === a [] by Demod 1 with 650 at 2
% 0.12/0.36 Id : 1, {_}: join a (meet a b) =>= a [] by prove_absorbtion_dual
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.36 29848: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.043461 using nrkbo
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