TSTP Solution File: GRP148-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP148-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n018.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 3.12s 1.13s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP148-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 05:58:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 32495: Facts:
% 0.13/0.35 32495: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.35 32495: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.13/0.35 32495: Id : 4, {_}:
% 0.13/0.35 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.13/0.35 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.13/0.35 32495: Id : 5, {_}:
% 0.13/0.35 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.13/0.35 [11, 10] by symmetry_of_glb ?10 ?11
% 0.13/0.35 32495: Id : 6, {_}:
% 0.13/0.35 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.13/0.35 [14, 13] by symmetry_of_lub ?13 ?14
% 0.13/0.35 32495: Id : 7, {_}:
% 0.13/0.35 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.13/0.35 =?=
% 0.13/0.35 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.13/0.35 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.13/0.35 32495: Id : 8, {_}:
% 0.13/0.35 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.13/0.35 =?=
% 0.13/0.35 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.13/0.35 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.13/0.35 32495: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.13/0.35 32495: Id : 10, {_}:
% 0.13/0.35 greatest_lower_bound ?26 ?26 =>= ?26
% 0.13/0.35 [26] by idempotence_of_gld ?26
% 0.13/0.35 32495: Id : 11, {_}:
% 0.13/0.35 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.13/0.35 [29, 28] by lub_absorbtion ?28 ?29
% 0.13/0.35 32495: Id : 12, {_}:
% 0.13/0.35 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.13/0.35 [32, 31] by glb_absorbtion ?31 ?32
% 0.13/0.35 32495: Id : 13, {_}:
% 0.13/0.35 multiply ?34 (least_upper_bound ?35 ?36)
% 0.13/0.35 =<=
% 0.13/0.35 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.13/0.35 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.13/0.35 32495: Id : 14, {_}:
% 0.13/0.35 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.13/0.35 =<=
% 0.13/0.35 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.13/0.35 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.13/0.35 32495: Id : 15, {_}:
% 0.13/0.35 multiply (least_upper_bound ?42 ?43) ?44
% 0.13/0.35 =<=
% 0.13/0.35 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.13/0.35 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.13/0.35 32495: Id : 16, {_}:
% 0.13/0.35 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.13/0.35 =<=
% 0.13/0.35 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.13/0.35 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.13/0.35 32495: Id : 17, {_}: least_upper_bound a c =>= c [] by ax_lub1c_1
% 0.13/0.35 32495: Id : 18, {_}: least_upper_bound b c =>= c [] by ax_lub1c_2
% 0.13/0.35 32495: Goal:
% 0.13/0.35 32495: Id : 1, {_}:
% 0.13/0.35 greatest_lower_bound (least_upper_bound a b) c
% 0.13/0.35 =>=
% 0.13/0.35 least_upper_bound a b
% 0.13/0.35 [] by prove_ax_lub1c
% 3.12/1.13 Statistics :
% 3.12/1.13 Max weight : 16
% 3.12/1.13 Found proof, 0.784243s
% 3.12/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.12/1.13 % SZS output start CNFRefutation for theBenchmark.p
% 3.12/1.13 Id : 18, {_}: least_upper_bound b c =>= c [] by ax_lub1c_2
% 3.12/1.13 Id : 12, {_}: greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31 [32, 31] by glb_absorbtion ?31 ?32
% 3.12/1.13 Id : 116, {_}: least_upper_bound ?395 (greatest_lower_bound ?395 ?396) =>= ?395 [396, 395] by lub_absorbtion ?395 ?396
% 3.12/1.13 Id : 17, {_}: least_upper_bound a c =>= c [] by ax_lub1c_1
% 3.12/1.13 Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 3.12/1.13 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
% 3.12/1.13 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 3.12/1.13 Id : 134, {_}: greatest_lower_bound ?450 (least_upper_bound ?450 ?451) =>= ?450 [451, 450] by glb_absorbtion ?450 ?451
% 3.12/1.13 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 3.12/1.13 Id : 135, {_}: greatest_lower_bound ?453 (least_upper_bound ?454 ?453) =>= ?453 [454, 453] by Super 134 with 6 at 2,2
% 3.12/1.13 Id : 94, {_}: least_upper_bound ?329 (least_upper_bound ?329 ?330) =>= least_upper_bound ?329 ?330 [330, 329] by Super 8 with 9 at 1,3
% 3.12/1.13 Id : 310, {_}: least_upper_bound a (least_upper_bound c ?810) =>= least_upper_bound c ?810 [810] by Super 8 with 17 at 1,3
% 3.12/1.13 Id : 393, {_}: least_upper_bound a (least_upper_bound ?898 c) =>= least_upper_bound c ?898 [898] by Super 310 with 6 at 2,2
% 3.12/1.13 Id : 399, {_}: least_upper_bound a (least_upper_bound ?907 (least_upper_bound ?908 c)) =>= least_upper_bound c (least_upper_bound ?907 ?908) [908, 907] by Super 393 with 8 at 2,2
% 3.12/1.13 Id : 3199, {_}: least_upper_bound c (least_upper_bound a ?4197) =>= least_upper_bound a (least_upper_bound ?4197 c) [4197] by Super 94 with 399 at 2
% 3.12/1.13 Id : 311, {_}: least_upper_bound a (least_upper_bound ?812 c) =>= least_upper_bound c ?812 [812] by Super 310 with 6 at 2,2
% 3.12/1.13 Id : 3239, {_}: least_upper_bound c (least_upper_bound a ?4197) =>= least_upper_bound c ?4197 [4197] by Demod 3199 with 311 at 3
% 3.12/1.13 Id : 13601, {_}: greatest_lower_bound (least_upper_bound a ?12867) (least_upper_bound c ?12867) =>= least_upper_bound a ?12867 [12867] by Super 135 with 3239 at 2,2
% 3.12/1.13 Id : 117, {_}: least_upper_bound ?398 (greatest_lower_bound ?399 ?398) =>= ?398 [399, 398] by Super 116 with 5 at 2,2
% 3.12/1.13 Id : 13606, {_}: greatest_lower_bound (least_upper_bound a (greatest_lower_bound ?12876 c)) c =>= least_upper_bound a (greatest_lower_bound ?12876 c) [12876] by Super 13601 with 117 at 2,2
% 3.12/1.13 Id : 13864, {_}: greatest_lower_bound c (least_upper_bound a (greatest_lower_bound ?13088 c)) =>= least_upper_bound a (greatest_lower_bound ?13088 c) [13088] by Demod 13606 with 5 at 2
% 3.12/1.13 Id : 283, {_}: greatest_lower_bound b c =>= b [] by Super 12 with 18 at 2,2
% 3.12/1.13 Id : 13869, {_}: greatest_lower_bound c (least_upper_bound a b) =<= least_upper_bound a (greatest_lower_bound b c) [] by Super 13864 with 283 at 2,2,2
% 3.12/1.13 Id : 13921, {_}: greatest_lower_bound c (least_upper_bound a b) =>= least_upper_bound a b [] by Demod 13869 with 283 at 2,3
% 3.12/1.13 Id : 14000, {_}: least_upper_bound a b === least_upper_bound a b [] by Demod 290 with 13921 at 2
% 3.12/1.13 Id : 290, {_}: greatest_lower_bound c (least_upper_bound a b) =>= least_upper_bound a b [] by Demod 1 with 5 at 2
% 3.12/1.13 Id : 1, {_}: greatest_lower_bound (least_upper_bound a b) c =>= least_upper_bound a b [] by prove_ax_lub1c
% 3.12/1.13 % SZS output end CNFRefutation for theBenchmark.p
% 3.12/1.13 32498: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.785778 using nrkbo
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