TSTP Solution File: LAT013-1 by Matita---1.0
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- Process Solution
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% File : Matita---1.0
% Problem : LAT013-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n025.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 26.35s 6.91s
% Output : CNFRefutation 26.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT013-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 01:42:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 7559: Facts:
% 0.12/0.34 7559: Id : 2, {_}:
% 0.12/0.34 join ?2 (meet ?3 (meet ?2 ?4)) =>= ?2
% 0.12/0.34 [4, 3, 2] by mckenzie1 ?2 ?3 ?4
% 0.12/0.34 7559: Id : 3, {_}:
% 0.12/0.34 meet ?6 (join ?7 (join ?6 ?8)) =>= ?6
% 0.12/0.34 [8, 7, 6] by mckenzie2 ?6 ?7 ?8
% 0.12/0.34 7559: Id : 4, {_}:
% 0.12/0.34 join (join (meet ?10 ?11) (meet ?11 ?12)) ?11 =>= ?11
% 0.12/0.34 [12, 11, 10] by mckenzie3 ?10 ?11 ?12
% 0.12/0.34 7559: Id : 5, {_}:
% 0.12/0.34 meet (meet (join ?14 ?15) (join ?15 ?16)) ?15 =>= ?15
% 0.12/0.34 [16, 15, 14] by mckenzie4 ?14 ?15 ?16
% 0.12/0.34 7559: Goal:
% 0.12/0.34 7559: Id : 1, {_}:
% 0.12/0.34 meet (meet a b) c =>= meet a (meet b c)
% 0.12/0.34 [] by prove_associativity_of_meet
% 26.35/6.91 Statistics :
% 26.35/6.91 Max weight : 22
% 26.35/6.91 Found proof, 6.578037s
% 26.35/6.91 % SZS status Unsatisfiable for theBenchmark.p
% 26.35/6.91 % SZS output start CNFRefutation for theBenchmark.p
% 26.35/6.91 Id : 23, {_}: meet (meet (join ?77 ?78) (join ?78 ?79)) ?78 =>= ?78 [79, 78, 77] by mckenzie4 ?77 ?78 ?79
% 26.35/6.91 Id : 14, {_}: join (join (meet ?44 ?45) (meet ?45 ?46)) ?45 =>= ?45 [46, 45, 44] by mckenzie3 ?44 ?45 ?46
% 26.35/6.91 Id : 3, {_}: meet ?6 (join ?7 (join ?6 ?8)) =>= ?6 [8, 7, 6] by mckenzie2 ?6 ?7 ?8
% 26.35/6.91 Id : 5, {_}: meet (meet (join ?14 ?15) (join ?15 ?16)) ?15 =>= ?15 [16, 15, 14] by mckenzie4 ?14 ?15 ?16
% 26.35/6.91 Id : 2, {_}: join ?2 (meet ?3 (meet ?2 ?4)) =>= ?2 [4, 3, 2] by mckenzie1 ?2 ?3 ?4
% 26.35/6.91 Id : 9, {_}: meet ?27 (join ?28 (join ?27 ?29)) =>= ?27 [29, 28, 27] by mckenzie2 ?27 ?28 ?29
% 26.35/6.91 Id : 10, {_}: meet ?31 (join ?32 ?31) =>= ?31 [32, 31] by Super 9 with 2 at 2,2,2
% 26.35/6.91 Id : 20, {_}: join ?66 (meet ?66 ?67) =>= ?66 [67, 66] by Super 2 with 5 at 2,2
% 26.35/6.92 Id : 158, {_}: meet (meet ?420 ?421) ?420 =>= meet ?420 ?421 [421, 420] by Super 10 with 20 at 2,2
% 26.35/6.92 Id : 8, {_}: join ?24 (meet ?25 ?24) =>= ?24 [25, 24] by Super 2 with 3 at 2,2,2
% 26.35/6.92 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
% 26.35/6.92 Id : 143, {_}: join (meet ?394 ?395) ?395 =>= ?395 [395, 394] by Super 14 with 2 at 1,2
% 26.35/6.92 Id : 586, {_}: join ?1281 (join ?1282 ?1281) =>= join ?1282 ?1281 [1282, 1281] by Super 143 with 10 at 1,2
% 26.35/6.92 Id : 593, {_}: join (meet ?1308 ?1309) ?1308 =>= join ?1308 (meet ?1308 ?1309) [1309, 1308] by Super 586 with 20 at 2,2
% 26.35/6.92 Id : 632, {_}: join (meet ?1308 ?1309) ?1308 =>= ?1308 [1309, 1308] by Demod 593 with 20 at 3
% 26.35/6.92 Id : 5446, {_}: meet (meet ?10201 ?10202) (meet ?10202 ?10201) =>= meet ?10202 ?10201 [10202, 10201] by Super 5385 with 632 at 2,1,2
% 26.35/6.92 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
% 26.35/6.92 Id : 11547, {_}: meet ?21532 ?21531 =<= meet (meet ?21532 ?21531) (meet ?21531 ?21532) [21531, 21532] by Demod 11394 with 5446 at 2
% 26.35/6.92 Id : 11548, {_}: meet ?21532 ?21531 =?= meet ?21531 ?21532 [21531, 21532] by Demod 11547 with 5446 at 3
% 26.35/6.92 Id : 33, {_}: meet (meet ?111 (join (meet ?112 ?111) ?113)) (meet ?112 ?111) =>= meet ?112 ?111 [113, 112, 111] by Super 5 with 8 at 1,1,2
% 26.35/6.92 Id : 587, {_}: join (meet ?1284 (meet ?1285 ?1286)) ?1285 =>= join ?1285 (meet ?1284 (meet ?1285 ?1286)) [1286, 1285, 1284] by Super 586 with 2 at 2,2
% 26.35/6.92 Id : 2924, {_}: join (meet ?5000 (meet ?5001 ?5002)) ?5001 =>= ?5001 [5002, 5001, 5000] by Demod 587 with 2 at 3
% 26.35/6.92 Id : 2948, {_}: join (meet (meet ?5094 ?5095) ?5096) ?5094 =>= ?5094 [5096, 5095, 5094] by Super 2924 with 158 at 1,2
% 26.35/6.92 Id : 9580, {_}: meet (meet ?17831 ?17832) (meet (meet ?17832 ?17833) ?17831) =>= meet (meet ?17832 ?17833) ?17831 [17833, 17832, 17831] by Super 33 with 2948 at 2,1,2
% 26.35/6.92 Id : 99826, {_}: meet (meet ?233978 ?233979) (meet (meet ?233979 ?233980) ?233978) =>= meet (meet ?233979 ?233980) ?233978 [233980, 233979, 233978] by Super 33 with 2948 at 2,1,2
% 26.35/6.92 Id : 1815, {_}: join ?3183 (join ?3184 (join ?3183 ?3185)) =>= join ?3184 (join ?3183 ?3185) [3185, 3184, 3183] by Super 143 with 3 at 1,2
% 26.35/6.92 Id : 1831, {_}: join (meet ?3256 ?3257) (join ?3258 ?3256) =?= join ?3258 (join (meet ?3256 ?3257) ?3256) [3258, 3257, 3256] by Super 1815 with 632 at 2,2,2
% 26.35/6.92 Id : 1916, {_}: join (meet ?3256 ?3257) (join ?3258 ?3256) =>= join ?3258 ?3256 [3258, 3257, 3256] by Demod 1831 with 632 at 2,3
% 26.35/6.92 Id : 6368, {_}: meet (meet ?11593 (join ?11594 ?11595)) (meet ?11595 ?11593) =>= meet ?11595 ?11593 [11595, 11594, 11593] by Super 33 with 1916 at 2,1,2
% 26.35/6.92 Id : 75004, {_}: meet (meet ?11595 ?11593) (meet ?11593 (join ?11594 ?11595)) =>= meet ?11595 ?11593 [11594, 11593, 11595] by Demod 6368 with 11548 at 2
% 26.35/6.92 Id : 99947, {_}: meet (meet (meet ?234611 (join ?234612 ?234613)) ?234613) (meet ?234613 ?234611) =>= meet (meet ?234613 ?234611) (meet ?234611 (join ?234612 ?234613)) [234613, 234612, 234611] by Super 99826 with 75004 at 2,2
% 26.35/6.92 Id : 100581, {_}: meet (meet ?234613 ?234611) (meet (meet ?234611 (join ?234612 ?234613)) ?234613) =>= meet (meet ?234613 ?234611) (meet ?234611 (join ?234612 ?234613)) [234612, 234611, 234613] by Demod 99947 with 11548 at 2
% 26.35/6.92 Id : 100582, {_}: meet (meet ?234613 ?234611) (meet (meet ?234611 (join ?234612 ?234613)) ?234613) =>= meet ?234613 ?234611 [234612, 234611, 234613] by Demod 100581 with 75004 at 3
% 26.35/6.92 Id : 100583, {_}: meet (meet ?234611 (join ?234612 ?234613)) ?234613 =>= meet ?234613 ?234611 [234613, 234612, 234611] by Demod 100582 with 9580 at 2
% 26.35/6.92 Id : 102070, {_}: meet ?238578 (meet ?238579 (join ?238580 ?238578)) =>= meet ?238578 ?238579 [238580, 238579, 238578] by Demod 100583 with 11548 at 2
% 26.35/6.92 Id : 102074, {_}: meet (meet ?238597 ?238598) (meet ?238599 ?238597) =>= meet (meet ?238597 ?238598) ?238599 [238599, 238598, 238597] by Super 102070 with 20 at 2,2,2
% 26.35/6.92 Id : 103458, {_}: meet (meet ?17831 ?17832) (meet ?17832 ?17833) =>= meet (meet ?17832 ?17833) ?17831 [17833, 17832, 17831] by Demod 9580 with 102074 at 2
% 26.35/6.92 Id : 102748, {_}: meet (meet ?240037 ?240038) (meet ?240039 ?240038) =>= meet (meet ?240037 ?240038) ?240039 [240039, 240038, 240037] by Super 102070 with 8 at 2,2,2
% 26.35/6.92 Id : 102798, {_}: meet (meet ?240308 ?240309) (meet ?240309 ?240310) =>= meet (meet ?240308 ?240309) ?240310 [240310, 240309, 240308] by Super 102748 with 11548 at 2,2
% 26.35/6.92 Id : 105726, {_}: meet (meet ?240309 ?240310) ?240308 =?= meet (meet ?240308 ?240309) ?240310 [240308, 240310, 240309] by Demod 102798 with 103458 at 2
% 26.35/6.92 Id : 105960, {_}: meet ?246861 (meet ?246862 ?246863) =<= meet (meet ?246861 ?246862) ?246863 [246863, 246862, 246861] by Super 11548 with 105726 at 3
% 26.35/6.92 Id : 106677, {_}: meet ?17831 (meet ?17832 (meet ?17832 ?17833)) =>= meet (meet ?17832 ?17833) ?17831 [17833, 17832, 17831] by Demod 103458 with 105960 at 2
% 26.35/6.92 Id : 106678, {_}: meet ?17831 (meet ?17832 (meet ?17832 ?17833)) =>= meet ?17832 (meet ?17833 ?17831) [17833, 17832, 17831] by Demod 106677 with 105960 at 3
% 26.35/6.92 Id : 279, {_}: meet (join ?689 ?690) ?690 =>= ?690 [690, 689] by Super 23 with 3 at 1,2
% 26.35/6.92 Id : 285, {_}: meet ?707 (meet ?707 ?708) =>= meet ?707 ?708 [708, 707] by Super 279 with 20 at 1,2
% 26.35/6.92 Id : 106679, {_}: meet ?17831 (meet ?17832 ?17833) =?= meet ?17832 (meet ?17833 ?17831) [17833, 17832, 17831] by Demod 106678 with 285 at 2,2
% 26.35/6.92 Id : 107182, {_}: meet a (meet b c) =?= meet a (meet b c) [] by Demod 107181 with 106679 at 2
% 26.35/6.92 Id : 107181, {_}: meet c (meet a b) =>= meet a (meet b c) [] by Demod 1 with 11548 at 2
% 26.35/6.92 Id : 1, {_}: meet (meet a b) c =>= meet a (meet b c) [] by prove_associativity_of_meet
% 26.35/6.92 % SZS output end CNFRefutation for theBenchmark.p
% 26.35/6.92 7560: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 6.578003 using kbo
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