TSTP Solution File: LAT011-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n006.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 11.29s 3.16s
% Output : CNFRefutation 11.29s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.33 % Computer : n006.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 : Tue Jun 28 23:05:53 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.33 23607: Facts:
% 0.18/0.33 23607: Id : 2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
% 0.18/0.33 23607: Id : 3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
% 0.18/0.33 23607: Id : 4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
% 0.18/0.33 23607: Id : 5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
% 0.18/0.33 23607: Id : 6, {_}:
% 0.18/0.33 meet ?12 ?13 =?= meet ?13 ?12
% 0.18/0.33 [13, 12] by commutativity_of_meet ?12 ?13
% 0.18/0.33 23607: Id : 7, {_}:
% 0.18/0.33 join ?15 ?16 =?= join ?16 ?15
% 0.18/0.33 [16, 15] by commutativity_of_join ?15 ?16
% 0.18/0.33 23607: Id : 8, {_}:
% 0.18/0.33 meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
% 0.18/0.33 [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
% 0.18/0.33 23607: Id : 9, {_}:
% 0.18/0.33 join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
% 0.18/0.33 [24, 23, 22] by associativity_of_join ?22 ?23 ?24
% 0.18/0.33 23607: Id : 10, {_}: meet2 ?26 ?26 =>= ?26 [26] by idempotence_of_meet2 ?26
% 0.18/0.33 23607: Id : 11, {_}:
% 0.18/0.33 meet2 ?28 ?29 =?= meet2 ?29 ?28
% 0.18/0.33 [29, 28] by commutativity_of_meet2 ?28 ?29
% 0.18/0.33 23607: Id : 12, {_}:
% 0.18/0.33 meet2 ?31 (join ?31 ?32) =>= ?31
% 0.18/0.33 [32, 31] by absorption1_2 ?31 ?32
% 0.18/0.33 23607: Id : 13, {_}:
% 0.18/0.33 join ?34 (meet2 ?34 ?35) =>= ?34
% 0.18/0.33 [35, 34] by absorption2_2 ?34 ?35
% 0.18/0.33 23607: Id : 14, {_}:
% 0.18/0.33 meet2 (meet2 ?37 ?38) ?39 =?= meet2 ?37 (meet2 ?38 ?39)
% 0.18/0.33 [39, 38, 37] by associativity_of_meet2 ?37 ?38 ?39
% 0.18/0.33 23607: Goal:
% 0.18/0.33 23607: Id : 1, {_}: meet a b =<= meet2 a b [] by prove_meets_are_same
% 11.29/3.16 Statistics :
% 11.29/3.16 Max weight : 16
% 11.29/3.16 Found proof, 2.826044s
% 11.29/3.16 % SZS status Unsatisfiable for theBenchmark.p
% 11.29/3.16 % SZS output start CNFRefutation for theBenchmark.p
% 11.29/3.16 Id : 14, {_}: meet2 (meet2 ?37 ?38) ?39 =>= meet2 ?37 (meet2 ?38 ?39) [39, 38, 37] by associativity_of_meet2 ?37 ?38 ?39
% 11.29/3.16 Id : 11, {_}: meet2 ?28 ?29 =?= meet2 ?29 ?28 [29, 28] by commutativity_of_meet2 ?28 ?29
% 11.29/3.16 Id : 117, {_}: join ?295 (meet2 ?295 ?296) =>= ?295 [296, 295] by absorption2_2 ?295 ?296
% 11.29/3.16 Id : 6, {_}: meet ?12 ?13 =?= meet ?13 ?12 [13, 12] by commutativity_of_meet ?12 ?13
% 11.29/3.16 Id : 13, {_}: join ?34 (meet2 ?34 ?35) =>= ?34 [35, 34] by absorption2_2 ?34 ?35
% 11.29/3.16 Id : 4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
% 11.29/3.16 Id : 8, {_}: meet (meet ?18 ?19) ?20 =>= meet ?18 (meet ?19 ?20) [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
% 11.29/3.16 Id : 5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
% 11.29/3.16 Id : 7, {_}: join ?15 ?16 =?= join ?16 ?15 [16, 15] by commutativity_of_join ?15 ?16
% 11.29/3.16 Id : 101, {_}: meet2 ?261 (join ?261 ?262) =>= ?261 [262, 261] by absorption1_2 ?261 ?262
% 11.29/3.16 Id : 104, {_}: meet2 ?268 (join ?269 ?268) =>= ?268 [269, 268] by Super 101 with 7 at 2,2
% 11.29/3.16 Id : 1015, {_}: join (meet ?1821 ?1822) (meet ?1821 (meet ?1822 ?1823)) =>= meet ?1821 ?1822 [1823, 1822, 1821] by Super 5 with 8 at 2,2
% 11.29/3.16 Id : 181, {_}: meet ?437 (join ?438 ?437) =>= ?437 [438, 437] by Super 4 with 7 at 2,2
% 11.29/3.16 Id : 186, {_}: meet (meet2 ?452 ?453) ?452 =>= meet2 ?452 ?453 [453, 452] by Super 181 with 13 at 2,2
% 11.29/3.16 Id : 199, {_}: meet ?452 (meet2 ?452 ?453) =>= meet2 ?452 ?453 [453, 452] by Demod 186 with 6 at 2
% 11.29/3.16 Id : 38399, {_}: join (meet ?68028 ?68029) (meet ?68028 (meet2 ?68029 ?68030)) =>= meet ?68028 ?68029 [68030, 68029, 68028] by Super 1015 with 199 at 2,2,2
% 11.29/3.16 Id : 41, {_}: meet ?91 (join ?92 ?91) =>= ?91 [92, 91] by Super 4 with 7 at 2,2
% 11.29/3.16 Id : 119, {_}: join ?300 (meet2 ?301 ?300) =>= ?300 [301, 300] by Super 117 with 11 at 2,2
% 11.29/3.16 Id : 390, {_}: meet (meet2 ?841 ?842) ?842 =>= meet2 ?841 ?842 [842, 841] by Super 41 with 119 at 2,2
% 11.29/3.16 Id : 406, {_}: meet ?842 (meet2 ?841 ?842) =>= meet2 ?841 ?842 [841, 842] by Demod 390 with 6 at 2
% 11.29/3.16 Id : 38458, {_}: join (meet ?68287 ?68288) (meet2 ?68288 ?68287) =>= meet ?68287 ?68288 [68288, 68287] by Super 38399 with 406 at 2,2
% 11.29/3.16 Id : 38845, {_}: meet2 (meet2 ?68733 ?68734) (meet ?68734 ?68733) =>= meet2 ?68733 ?68734 [68734, 68733] by Super 104 with 38458 at 2,2
% 11.29/3.16 Id : 39084, {_}: meet2 (meet ?68734 ?68733) (meet2 ?68733 ?68734) =>= meet2 ?68733 ?68734 [68733, 68734] by Demod 38845 with 11 at 2
% 11.29/3.16 Id : 2511, {_}: meet2 ?4660 ?4661 =<= meet2 ?4660 (meet2 (join ?4662 ?4660) ?4661) [4662, 4661, 4660] by Super 14 with 104 at 1,2
% 11.29/3.16 Id : 2516, {_}: meet2 (meet2 ?4680 ?4681) ?4682 =<= meet2 (meet2 ?4680 ?4681) (meet2 ?4680 ?4682) [4682, 4681, 4680] by Super 2511 with 13 at 1,2,3
% 11.29/3.16 Id : 2569, {_}: meet2 ?4680 (meet2 ?4681 ?4682) =<= meet2 (meet2 ?4680 ?4681) (meet2 ?4680 ?4682) [4682, 4681, 4680] by Demod 2516 with 14 at 2
% 11.29/3.16 Id : 2570, {_}: meet2 ?4680 (meet2 ?4681 ?4682) =<= meet2 ?4680 (meet2 ?4681 (meet2 ?4680 ?4682)) [4682, 4681, 4680] by Demod 2569 with 14 at 3
% 11.29/3.16 Id : 392, {_}: meet2 (meet2 ?847 ?848) ?848 =>= meet2 ?847 ?848 [848, 847] by Super 104 with 119 at 2,2
% 11.29/3.16 Id : 403, {_}: meet2 ?848 (meet2 ?847 ?848) =>= meet2 ?847 ?848 [847, 848] by Demod 392 with 11 at 2
% 11.29/3.16 Id : 789, {_}: meet2 (meet2 ?1457 ?1458) ?1459 =<= meet2 ?1458 (meet2 (meet2 ?1457 ?1458) ?1459) [1459, 1458, 1457] by Super 14 with 403 at 1,2
% 11.29/3.16 Id : 809, {_}: meet2 ?1457 (meet2 ?1458 ?1459) =<= meet2 ?1458 (meet2 (meet2 ?1457 ?1458) ?1459) [1459, 1458, 1457] by Demod 789 with 14 at 2
% 11.29/3.16 Id : 810, {_}: meet2 ?1457 (meet2 ?1458 ?1459) =<= meet2 ?1458 (meet2 ?1457 (meet2 ?1458 ?1459)) [1459, 1458, 1457] by Demod 809 with 14 at 2,3
% 11.29/3.16 Id : 10876, {_}: meet2 ?4680 (meet2 ?4681 ?4682) =?= meet2 ?4681 (meet2 ?4680 ?4682) [4682, 4681, 4680] by Demod 2570 with 810 at 3
% 11.29/3.16 Id : 39085, {_}: meet2 ?68733 (meet2 (meet ?68734 ?68733) ?68734) =>= meet2 ?68733 ?68734 [68734, 68733] by Demod 39084 with 10876 at 2
% 11.29/3.16 Id : 4242, {_}: meet2 ?7993 (meet2 ?7994 ?7995) =<= meet2 ?7994 (meet2 ?7993 (meet2 ?7994 ?7995)) [7995, 7994, 7993] by Demod 809 with 14 at 2,3
% 11.29/3.16 Id : 4244, {_}: meet2 ?8000 (meet2 ?8001 ?8002) =<= meet2 ?8001 (meet2 ?8000 (meet2 ?8002 ?8001)) [8002, 8001, 8000] by Super 4242 with 11 at 2,2,3
% 11.29/3.16 Id : 794, {_}: meet2 ?1473 (meet2 ?1474 ?1473) =>= meet2 ?1474 ?1473 [1474, 1473] by Demod 392 with 11 at 2
% 11.29/3.16 Id : 798, {_}: meet2 ?1484 (meet2 ?1485 (meet2 ?1486 ?1484)) =>= meet2 (meet2 ?1485 ?1486) ?1484 [1486, 1485, 1484] by Super 794 with 14 at 2,2
% 11.29/3.16 Id : 819, {_}: meet2 ?1484 (meet2 ?1485 (meet2 ?1486 ?1484)) =>= meet2 ?1485 (meet2 ?1486 ?1484) [1486, 1485, 1484] by Demod 798 with 14 at 3
% 11.29/3.16 Id : 17472, {_}: meet2 ?8000 (meet2 ?8001 ?8002) =?= meet2 ?8000 (meet2 ?8002 ?8001) [8002, 8001, 8000] by Demod 4244 with 819 at 3
% 11.29/3.16 Id : 39086, {_}: meet2 ?68733 (meet2 ?68734 (meet ?68734 ?68733)) =>= meet2 ?68733 ?68734 [68734, 68733] by Demod 39085 with 17472 at 2
% 11.29/3.16 Id : 361, {_}: meet2 ?789 (join ?790 ?789) =>= ?789 [790, 789] by Super 101 with 7 at 2,2
% 11.29/3.16 Id : 31, {_}: join ?67 (meet ?68 ?67) =>= ?67 [68, 67] by Super 5 with 6 at 2,2
% 11.29/3.16 Id : 367, {_}: meet2 (meet ?807 ?808) ?808 =>= meet ?807 ?808 [808, 807] by Super 361 with 31 at 2,2
% 11.29/3.16 Id : 380, {_}: meet2 ?808 (meet ?807 ?808) =>= meet ?807 ?808 [807, 808] by Demod 367 with 11 at 2
% 11.29/3.16 Id : 4098, {_}: meet2 (meet ?7708 ?7709) ?7710 =<= meet2 ?7709 (meet2 (meet ?7708 ?7709) ?7710) [7710, 7709, 7708] by Super 14 with 380 at 1,2
% 11.29/3.16 Id : 4121, {_}: meet2 (meet ?7810 ?7811) ?7812 =<= meet2 ?7811 (meet2 ?7812 (meet ?7810 ?7811)) [7812, 7811, 7810] by Super 4098 with 11 at 2,3
% 11.29/3.16 Id : 39087, {_}: meet2 (meet ?68734 ?68733) ?68734 =>= meet2 ?68733 ?68734 [68733, 68734] by Demod 39086 with 4121 at 2
% 11.29/3.16 Id : 39088, {_}: meet2 ?68734 (meet ?68734 ?68733) =>= meet2 ?68733 ?68734 [68733, 68734] by Demod 39087 with 11 at 2
% 11.29/3.16 Id : 363, {_}: meet2 (meet ?794 ?795) ?794 =>= meet ?794 ?795 [795, 794] by Super 361 with 5 at 2,2
% 11.29/3.16 Id : 377, {_}: meet2 ?794 (meet ?794 ?795) =>= meet ?794 ?795 [795, 794] by Demod 363 with 11 at 2
% 11.29/3.16 Id : 39089, {_}: meet ?68734 ?68733 =<= meet2 ?68733 ?68734 [68733, 68734] by Demod 39088 with 377 at 2
% 11.29/3.16 Id : 39825, {_}: meet a b =?= meet a b [] by Demod 39824 with 6 at 3
% 11.29/3.16 Id : 39824, {_}: meet a b =<= meet b a [] by Demod 1 with 39089 at 3
% 11.29/3.16 Id : 1, {_}: meet a b =<= meet2 a b [] by prove_meets_are_same
% 11.29/3.16 % SZS output end CNFRefutation for theBenchmark.p
% 11.29/3.16 23608: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 2.804344 using kbo
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