TSTP Solution File: GRP141-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP141-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n029.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 : Sat Jul 16 10:29:10 EDT 2022
% Result : Unsatisfiable 0.20s 0.46s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP141-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33 % Computer : n029.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 14 02:15:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 11973: Facts:
% 0.13/0.34 11973: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.34 11973: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.13/0.34 11973: Id : 4, {_}:
% 0.13/0.34 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.13/0.34 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.13/0.34 11973: Id : 5, {_}:
% 0.13/0.34 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.13/0.34 [11, 10] by symmetry_of_glb ?10 ?11
% 0.13/0.34 11973: Id : 6, {_}:
% 0.13/0.34 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.13/0.34 [14, 13] by symmetry_of_lub ?13 ?14
% 0.13/0.34 11973: Id : 7, {_}:
% 0.13/0.34 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.13/0.34 =?=
% 0.13/0.34 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.13/0.34 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.13/0.34 11973: Id : 8, {_}:
% 0.13/0.34 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.13/0.34 =?=
% 0.13/0.34 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.13/0.34 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.13/0.34 11973: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.13/0.34 11973: Id : 10, {_}:
% 0.13/0.34 greatest_lower_bound ?26 ?26 =>= ?26
% 0.13/0.34 [26] by idempotence_of_gld ?26
% 0.13/0.34 11973: Id : 11, {_}:
% 0.13/0.34 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.13/0.34 [29, 28] by lub_absorbtion ?28 ?29
% 0.13/0.34 11973: Id : 12, {_}:
% 0.13/0.34 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.13/0.34 [32, 31] by glb_absorbtion ?31 ?32
% 0.13/0.34 11973: Id : 13, {_}:
% 0.13/0.34 multiply ?34 (least_upper_bound ?35 ?36)
% 0.13/0.34 =<=
% 0.13/0.34 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.13/0.34 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.13/0.34 11973: Id : 14, {_}:
% 0.13/0.34 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.13/0.34 =<=
% 0.13/0.34 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.13/0.34 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.13/0.34 11973: Id : 15, {_}:
% 0.13/0.34 multiply (least_upper_bound ?42 ?43) ?44
% 0.13/0.34 =<=
% 0.13/0.34 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.13/0.34 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.13/0.34 11973: Id : 16, {_}:
% 0.13/0.34 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.13/0.34 =<=
% 0.13/0.34 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.13/0.34 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.13/0.34 11973: Id : 17, {_}: least_upper_bound a c =>= a [] by ax_glb1d_1
% 0.13/0.34 11973: Id : 18, {_}: least_upper_bound b c =>= b [] by ax_glb1d_2
% 0.13/0.34 11973: Goal:
% 0.13/0.34 11973: Id : 1, {_}:
% 0.13/0.34 greatest_lower_bound (greatest_lower_bound a b) c =>= c
% 0.13/0.34 [] by prove_ax_glb1d
% 0.20/0.46 Statistics :
% 0.20/0.46 Max weight : 16
% 0.20/0.46 Found proof, 0.119433s
% 0.20/0.46 % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.46 % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.46 Id : 17, {_}: least_upper_bound a c =>= a [] by ax_glb1d_1
% 0.20/0.46 Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.20/0.46 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 0.20/0.46 Id : 18, {_}: least_upper_bound b c =>= b [] by ax_glb1d_2
% 0.20/0.46 Id : 8, {_}: least_upper_bound ?20 (least_upper_bound ?21 ?22) =<= least_upper_bound (least_upper_bound ?20 ?21) ?22 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.20/0.46 Id : 12, {_}: greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31 [32, 31] by glb_absorbtion ?31 ?32
% 0.20/0.46 Id : 7, {_}: greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18) =<= greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.20/0.46 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 0.20/0.46 Id : 45, {_}: greatest_lower_bound ?108 (greatest_lower_bound ?109 ?110) =?= greatest_lower_bound ?109 (greatest_lower_bound ?110 ?108) [110, 109, 108] by Super 5 with 7 at 3
% 0.20/0.46 Id : 375, {_}: least_upper_bound b (least_upper_bound c ?612) =>= least_upper_bound b ?612 [612] by Super 8 with 18 at 1,3
% 0.20/0.46 Id : 376, {_}: least_upper_bound b (least_upper_bound ?614 c) =>= least_upper_bound b ?614 [614] by Super 375 with 6 at 2,2
% 0.20/0.46 Id : 60, {_}: least_upper_bound ?145 (least_upper_bound ?146 ?147) =?= least_upper_bound ?146 (least_upper_bound ?147 ?145) [147, 146, 145] by Super 6 with 8 at 3
% 0.20/0.46 Id : 1048, {_}: least_upper_bound c (least_upper_bound b ?1618) =>= least_upper_bound b ?1618 [1618] by Super 376 with 60 at 2
% 0.20/0.46 Id : 1396, {_}: greatest_lower_bound c (least_upper_bound b ?2083) =>= c [2083] by Super 12 with 1048 at 2,2
% 0.20/0.46 Id : 1398, {_}: greatest_lower_bound c b =>= c [] by Super 1396 with 9 at 2,2
% 0.20/0.46 Id : 1424, {_}: greatest_lower_bound b c =>= c [] by Demod 1398 with 5 at 2
% 0.20/0.46 Id : 352, {_}: least_upper_bound a (least_upper_bound c ?588) =>= least_upper_bound a ?588 [588] by Super 8 with 17 at 1,3
% 0.20/0.46 Id : 353, {_}: least_upper_bound a (least_upper_bound ?590 c) =>= least_upper_bound a ?590 [590] by Super 352 with 6 at 2,2
% 0.20/0.46 Id : 1050, {_}: least_upper_bound c (least_upper_bound a ?1622) =>= least_upper_bound a ?1622 [1622] by Super 353 with 60 at 2
% 0.20/0.46 Id : 1479, {_}: greatest_lower_bound c (least_upper_bound a ?2160) =>= c [2160] by Super 12 with 1050 at 2,2
% 0.20/0.46 Id : 1481, {_}: greatest_lower_bound c a =>= c [] by Super 1479 with 9 at 2,2
% 0.20/0.46 Id : 1507, {_}: greatest_lower_bound a c =>= c [] by Demod 1481 with 5 at 2
% 0.20/0.46 Id : 1545, {_}: c === c [] by Demod 1544 with 1507 at 2
% 0.20/0.46 Id : 1544, {_}: greatest_lower_bound a c =>= c [] by Demod 1543 with 1424 at 2,2
% 0.20/0.46 Id : 1543, {_}: greatest_lower_bound a (greatest_lower_bound b c) =>= c [] by Demod 1542 with 45 at 2
% 0.20/0.46 Id : 1542, {_}: greatest_lower_bound c (greatest_lower_bound a b) =>= c [] by Demod 1 with 5 at 2
% 0.20/0.46 Id : 1, {_}: greatest_lower_bound (greatest_lower_bound a b) c =>= c [] by prove_ax_glb1d
% 0.20/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.46 11975: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.121245 using lpo
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