TSTP Solution File: REL049-1 by Matita---1.0
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% File : Matita---1.0
% Problem : REL049-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n013.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 : Mon Jul 18 19:42:51 EDT 2022
% Result : Unsatisfiable 0.18s 0.35s
% Output : CNFRefutation 0.18s
% 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 : REL049-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jul 8 09:57:59 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.33 11569: Facts:
% 0.18/0.33 11569: Id : 2, {_}:
% 0.18/0.33 join ?2 ?3 =?= join ?3 ?2
% 0.18/0.33 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 0.18/0.33 11569: Id : 3, {_}:
% 0.18/0.33 join ?5 (join ?6 ?7) =?= join (join ?5 ?6) ?7
% 0.18/0.33 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 0.18/0.33 11569: Id : 4, {_}:
% 0.18/0.33 ?9
% 0.18/0.33 =<=
% 0.18/0.33 join (complement (join (complement ?9) (complement ?10)))
% 0.18/0.33 (complement (join (complement ?9) ?10))
% 0.18/0.33 [10, 9] by maddux3_a_kind_of_de_Morgan_3 ?9 ?10
% 0.18/0.33 11569: Id : 5, {_}:
% 0.18/0.33 meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13))
% 0.18/0.33 [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 0.18/0.33 11569: Id : 6, {_}:
% 0.18/0.33 composition ?15 (composition ?16 ?17)
% 0.18/0.33 =?=
% 0.18/0.33 composition (composition ?15 ?16) ?17
% 0.18/0.33 [17, 16, 15] by composition_associativity_5 ?15 ?16 ?17
% 0.18/0.33 11569: Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 0.18/0.33 11569: Id : 8, {_}:
% 0.18/0.33 composition (join ?21 ?22) ?23
% 0.18/0.33 =<=
% 0.18/0.33 join (composition ?21 ?23) (composition ?22 ?23)
% 0.18/0.33 [23, 22, 21] by composition_distributivity_7 ?21 ?22 ?23
% 0.18/0.33 11569: Id : 9, {_}:
% 0.18/0.33 converse (converse ?25) =>= ?25
% 0.18/0.33 [25] by converse_idempotence_8 ?25
% 0.18/0.33 11569: Id : 10, {_}:
% 0.18/0.33 converse (join ?27 ?28) =<= join (converse ?27) (converse ?28)
% 0.18/0.33 [28, 27] by converse_additivity_9 ?27 ?28
% 0.18/0.33 11569: Id : 11, {_}:
% 0.18/0.33 converse (composition ?30 ?31)
% 0.18/0.33 =<=
% 0.18/0.33 composition (converse ?31) (converse ?30)
% 0.18/0.33 [31, 30] by converse_multiplicativity_10 ?30 ?31
% 0.18/0.33 11569: Id : 12, {_}:
% 0.18/0.33 join (composition (converse ?33) (complement (composition ?33 ?34)))
% 0.18/0.33 (complement ?34)
% 0.18/0.33 =>=
% 0.18/0.33 complement ?34
% 0.18/0.33 [34, 33] by converse_cancellativity_11 ?33 ?34
% 0.18/0.33 11569: Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 0.18/0.33 11569: Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 0.18/0.33 11569: Id : 15, {_}: join sk1 sk2 =>= sk2 [] by goals_14
% 0.18/0.33 11569: Id : 16, {_}: join sk3 sk2 =>= sk2 [] by goals_15
% 0.18/0.33 11569: Goal:
% 0.18/0.33 11569: Id : 1, {_}: join (join sk1 sk3) sk2 =>= sk2 [] by goals_16
% 0.18/0.35 Statistics :
% 0.18/0.35 Max weight : 16
% 0.18/0.35 Found proof, 0.015138s
% 0.18/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.35 Id : 15, {_}: join sk1 sk2 =>= sk2 [] by goals_14
% 0.18/0.35 Id : 16, {_}: join sk3 sk2 =>= sk2 [] by goals_15
% 0.18/0.35 Id : 3, {_}: join ?5 (join ?6 ?7) =?= join (join ?5 ?6) ?7 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 0.18/0.35 Id : 2, {_}: join ?2 ?3 =?= join ?3 ?2 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 0.18/0.35 Id : 176, {_}: join sk2 sk3 =>= sk2 [] by Demod 16 with 2 at 2
% 0.18/0.35 Id : 177, {_}: join sk2 (join sk3 ?465) =>= join sk2 ?465 [465] by Super 3 with 176 at 1,3
% 0.18/0.35 Id : 169, {_}: join sk2 sk1 =>= sk2 [] by Demod 15 with 2 at 2
% 0.18/0.35 Id : 265, {_}: sk2 === sk2 [] by Demod 264 with 169 at 2
% 0.18/0.35 Id : 264, {_}: join sk2 sk1 =>= sk2 [] by Demod 184 with 177 at 2
% 0.18/0.35 Id : 184, {_}: join sk2 (join sk3 sk1) =>= sk2 [] by Demod 183 with 2 at 2,2
% 0.18/0.35 Id : 183, {_}: join sk2 (join sk1 sk3) =>= sk2 [] by Demod 1 with 2 at 2
% 0.18/0.35 Id : 1, {_}: join (join sk1 sk3) sk2 =>= sk2 [] by goals_16
% 0.18/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.35 11572: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.016794 using nrkbo
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