%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP147-1 : 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 10:29:12 EDT 2022
% Result : Unsatisfiable 5.12s 1.65s
% Output : CNFRefutation 5.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP147-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 16:46:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 28007: Facts:
% 0.13/0.36 28007: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.36 28007: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.13/0.36 28007: Id : 4, {_}:
% 0.13/0.36 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.13/0.36 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.13/0.36 28007: Id : 5, {_}:
% 0.13/0.36 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.13/0.36 [11, 10] by symmetry_of_glb ?10 ?11
% 0.13/0.36 28007: Id : 6, {_}:
% 0.13/0.36 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.13/0.36 [14, 13] by symmetry_of_lub ?13 ?14
% 0.13/0.36 28007: Id : 7, {_}:
% 0.13/0.36 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.13/0.36 =?=
% 0.13/0.36 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.13/0.36 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.13/0.36 28007: Id : 8, {_}:
% 0.13/0.36 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.13/0.36 =?=
% 0.13/0.36 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.13/0.36 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.13/0.36 28007: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.13/0.36 28007: Id : 10, {_}:
% 0.13/0.36 greatest_lower_bound ?26 ?26 =>= ?26
% 0.13/0.36 [26] by idempotence_of_gld ?26
% 0.13/0.36 28007: Id : 11, {_}:
% 0.13/0.36 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.13/0.36 [29, 28] by lub_absorbtion ?28 ?29
% 0.13/0.36 28007: Id : 12, {_}:
% 0.13/0.36 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.13/0.36 [32, 31] by glb_absorbtion ?31 ?32
% 0.13/0.36 28007: Id : 13, {_}:
% 0.13/0.36 multiply ?34 (least_upper_bound ?35 ?36)
% 0.13/0.36 =<=
% 0.13/0.36 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.13/0.36 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.13/0.36 28007: Id : 14, {_}:
% 0.13/0.36 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.13/0.36 =<=
% 0.13/0.36 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.13/0.36 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.13/0.36 28007: Id : 15, {_}:
% 0.13/0.36 multiply (least_upper_bound ?42 ?43) ?44
% 0.13/0.36 =<=
% 0.13/0.36 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.13/0.36 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.13/0.36 28007: Id : 16, {_}:
% 0.13/0.36 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.13/0.36 =<=
% 0.13/0.36 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.13/0.36 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.13/0.36 28007: Id : 17, {_}: greatest_lower_bound a c =>= a [] by ax_lub1b_1
% 0.13/0.36 28007: Id : 18, {_}: greatest_lower_bound b c =>= b [] by ax_lub1b_2
% 0.13/0.36 28007: Goal:
% 0.13/0.36 28007: Id : 1, {_}:
% 0.13/0.36 greatest_lower_bound (least_upper_bound a b) c
% 0.13/0.36 =>=
% 0.13/0.36 least_upper_bound a b
% 0.13/0.36 [] by prove_ax_lub1b
% 5.12/1.65 Statistics :
% 5.12/1.65 Max weight : 16
% 5.12/1.65 Found proof, 1.290918s
% 5.12/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 5.12/1.65 % SZS output start CNFRefutation for theBenchmark.p
% 5.12/1.65 Id : 18, {_}: greatest_lower_bound b c =>= b [] by ax_lub1b_2
% 5.12/1.65 Id : 12, {_}: greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31 [32, 31] by glb_absorbtion ?31 ?32
% 5.12/1.65 Id : 17, {_}: greatest_lower_bound a c =>= a [] by ax_lub1b_1
% 5.12/1.65 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
% 5.12/1.65 Id : 116, {_}: least_upper_bound ?395 (greatest_lower_bound ?395 ?396) =>= ?395 [396, 395] by lub_absorbtion ?395 ?396
% 5.12/1.65 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
% 5.12/1.65 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 5.12/1.65 Id : 134, {_}: greatest_lower_bound ?450 (least_upper_bound ?450 ?451) =>= ?450 [451, 450] by glb_absorbtion ?450 ?451
% 5.12/1.65 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 5.12/1.65 Id : 135, {_}: greatest_lower_bound ?453 (least_upper_bound ?454 ?453) =>= ?453 [454, 453] by Super 134 with 6 at 2,2
% 5.12/1.65 Id : 688, {_}: least_upper_bound ?1343 (greatest_lower_bound ?1344 ?1343) =>= ?1343 [1344, 1343] by Super 116 with 5 at 2,2
% 5.12/1.65 Id : 296, {_}: greatest_lower_bound a (greatest_lower_bound c ?798) =>= greatest_lower_bound a ?798 [798] by Super 7 with 17 at 1,3
% 5.12/1.65 Id : 299, {_}: greatest_lower_bound a c =<= greatest_lower_bound a (least_upper_bound c ?803) [803] by Super 296 with 12 at 2,2
% 5.12/1.65 Id : 348, {_}: a =<= greatest_lower_bound a (least_upper_bound c ?856) [856] by Demod 299 with 17 at 2
% 5.12/1.65 Id : 349, {_}: a =<= greatest_lower_bound a (least_upper_bound ?858 c) [858] by Super 348 with 6 at 2,3
% 5.12/1.65 Id : 706, {_}: least_upper_bound (least_upper_bound ?1390 c) a =>= least_upper_bound ?1390 c [1390] by Super 688 with 349 at 2,2
% 5.12/1.65 Id : 732, {_}: least_upper_bound a (least_upper_bound ?1390 c) =>= least_upper_bound ?1390 c [1390] by Demod 706 with 6 at 2
% 5.12/1.65 Id : 5718, {_}: least_upper_bound a (least_upper_bound (least_upper_bound ?6507 c) ?6508) =>= least_upper_bound (least_upper_bound ?6507 c) ?6508 [6508, 6507] by Super 8 with 732 at 1,3
% 5.12/1.65 Id : 5719, {_}: least_upper_bound a (least_upper_bound (least_upper_bound c ?6510) ?6511) =>= least_upper_bound (least_upper_bound ?6510 c) ?6511 [6511, 6510] by Super 5718 with 6 at 1,2,2
% 5.12/1.65 Id : 5765, {_}: least_upper_bound a (least_upper_bound c (least_upper_bound ?6510 ?6511)) =>= least_upper_bound (least_upper_bound ?6510 c) ?6511 [6511, 6510] by Demod 5719 with 8 at 2,2
% 5.12/1.65 Id : 308, {_}: a =<= greatest_lower_bound a (least_upper_bound c ?803) [803] by Demod 299 with 17 at 2
% 5.12/1.65 Id : 704, {_}: least_upper_bound (least_upper_bound c ?1386) a =>= least_upper_bound c ?1386 [1386] by Super 688 with 308 at 2,2
% 5.12/1.65 Id : 730, {_}: least_upper_bound a (least_upper_bound c ?1386) =>= least_upper_bound c ?1386 [1386] by Demod 704 with 6 at 2
% 5.12/1.65 Id : 5850, {_}: least_upper_bound c (least_upper_bound ?6677 ?6678) =<= least_upper_bound (least_upper_bound ?6677 c) ?6678 [6678, 6677] by Demod 5765 with 730 at 2
% 5.12/1.65 Id : 693, {_}: least_upper_bound c a =>= c [] by Super 688 with 17 at 2,2
% 5.12/1.65 Id : 720, {_}: least_upper_bound a c =>= c [] by Demod 693 with 6 at 2
% 5.12/1.65 Id : 5856, {_}: least_upper_bound c (least_upper_bound a ?6694) =>= least_upper_bound c ?6694 [6694] by Super 5850 with 720 at 1,3
% 5.12/1.65 Id : 21196, {_}: greatest_lower_bound (least_upper_bound a ?19704) (least_upper_bound c ?19704) =>= least_upper_bound a ?19704 [19704] by Super 135 with 5856 at 2,2
% 5.12/1.65 Id : 117, {_}: least_upper_bound ?398 (greatest_lower_bound ?399 ?398) =>= ?398 [399, 398] by Super 116 with 5 at 2,2
% 5.12/1.65 Id : 21201, {_}: greatest_lower_bound (least_upper_bound a (greatest_lower_bound ?19713 c)) c =>= least_upper_bound a (greatest_lower_bound ?19713 c) [19713] by Super 21196 with 117 at 2,2
% 5.12/1.65 Id : 21511, {_}: greatest_lower_bound c (least_upper_bound a (greatest_lower_bound ?19978 c)) =>= least_upper_bound a (greatest_lower_bound ?19978 c) [19978] by Demod 21201 with 5 at 2
% 5.12/1.65 Id : 21515, {_}: greatest_lower_bound c (least_upper_bound a b) =>= least_upper_bound a (greatest_lower_bound b c) [] by Super 21511 with 18 at 2,2,2
% 5.12/1.65 Id : 21585, {_}: greatest_lower_bound c (least_upper_bound a b) =>= least_upper_bound a b [] by Demod 21515 with 18 at 2,3
% 5.12/1.65 Id : 21694, {_}: least_upper_bound a b === least_upper_bound a b [] by Demod 292 with 21585 at 2
% 5.12/1.65 Id : 292, {_}: greatest_lower_bound c (least_upper_bound a b) =>= least_upper_bound a b [] by Demod 1 with 5 at 2
% 5.12/1.65 Id : 1, {_}: greatest_lower_bound (least_upper_bound a b) c =>= least_upper_bound a b [] by prove_ax_lub1b
% 5.12/1.65 % SZS output end CNFRefutation for theBenchmark.p
% 5.12/1.65 28010: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 1.292976 using nrkbo
%------------------------------------------------------------------------------