TSTP Solution File: GRP138-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP138-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n021.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 10:29:09 EDT 2022
% Result : Unsatisfiable 4.93s 1.62s
% Output : CNFRefutation 4.93s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP138-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.33 % Computer : n021.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Mon Jun 13 20:39:27 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.14/0.34 14621: Facts:
% 0.14/0.34 14621: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.14/0.34 14621: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.14/0.34 14621: Id : 4, {_}:
% 0.14/0.34 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.14/0.34 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.14/0.34 14621: Id : 5, {_}:
% 0.14/0.34 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.14/0.34 [11, 10] by symmetry_of_glb ?10 ?11
% 0.14/0.34 14621: Id : 6, {_}:
% 0.14/0.34 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.14/0.34 [14, 13] by symmetry_of_lub ?13 ?14
% 0.14/0.34 14621: Id : 7, {_}:
% 0.14/0.34 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.14/0.34 =?=
% 0.14/0.34 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.14/0.34 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.14/0.34 14621: Id : 8, {_}:
% 0.14/0.34 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.14/0.34 =?=
% 0.14/0.34 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.14/0.34 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.14/0.34 14621: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.14/0.34 14621: Id : 10, {_}:
% 0.14/0.34 greatest_lower_bound ?26 ?26 =>= ?26
% 0.14/0.34 [26] by idempotence_of_gld ?26
% 0.14/0.34 14621: Id : 11, {_}:
% 0.14/0.34 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.14/0.34 [29, 28] by lub_absorbtion ?28 ?29
% 0.14/0.34 14621: Id : 12, {_}:
% 0.14/0.34 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.14/0.34 [32, 31] by glb_absorbtion ?31 ?32
% 0.14/0.34 14621: Id : 13, {_}:
% 0.14/0.34 multiply ?34 (least_upper_bound ?35 ?36)
% 0.14/0.34 =<=
% 0.14/0.34 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.14/0.34 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.14/0.34 14621: Id : 14, {_}:
% 0.14/0.34 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.14/0.34 =<=
% 0.14/0.34 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.14/0.34 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.14/0.34 14621: Id : 15, {_}:
% 0.14/0.34 multiply (least_upper_bound ?42 ?43) ?44
% 0.14/0.34 =<=
% 0.14/0.34 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.14/0.34 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.14/0.34 14621: Id : 16, {_}:
% 0.14/0.34 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.14/0.34 =<=
% 0.14/0.34 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.14/0.34 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.14/0.34 14621: Id : 17, {_}: least_upper_bound a c =>= a [] by ax_glb1a_1
% 0.14/0.34 14621: Id : 18, {_}: least_upper_bound b c =>= b [] by ax_glb1a_2
% 0.14/0.34 14621: Goal:
% 0.14/0.34 14621: Id : 1, {_}:
% 0.14/0.34 least_upper_bound (greatest_lower_bound a b) c
% 0.14/0.34 =>=
% 0.14/0.34 greatest_lower_bound a b
% 0.14/0.34 [] by prove_ax_glb1a
% 4.93/1.62 Statistics :
% 4.93/1.62 Max weight : 16
% 4.93/1.62 Found proof, 1.279371s
% 4.93/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 4.93/1.62 % SZS output start CNFRefutation for theBenchmark.p
% 4.93/1.62 Id : 18, {_}: least_upper_bound b c =>= b [] by ax_glb1a_2
% 4.93/1.62 Id : 11, {_}: least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28 [29, 28] by lub_absorbtion ?28 ?29
% 4.93/1.62 Id : 17, {_}: least_upper_bound a c =>= a [] by ax_glb1a_1
% 4.93/1.62 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
% 4.93/1.62 Id : 134, {_}: greatest_lower_bound ?450 (least_upper_bound ?450 ?451) =>= ?450 [451, 450] by glb_absorbtion ?450 ?451
% 4.93/1.62 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
% 4.93/1.62 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 4.93/1.62 Id : 116, {_}: least_upper_bound ?395 (greatest_lower_bound ?395 ?396) =>= ?395 [396, 395] by lub_absorbtion ?395 ?396
% 4.93/1.62 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 4.93/1.62 Id : 117, {_}: least_upper_bound ?398 (greatest_lower_bound ?399 ?398) =>= ?398 [399, 398] by Super 116 with 5 at 2,2
% 4.93/1.62 Id : 782, {_}: greatest_lower_bound ?1502 (least_upper_bound ?1503 ?1502) =>= ?1502 [1503, 1502] by Super 134 with 6 at 2,2
% 4.93/1.62 Id : 296, {_}: least_upper_bound a (least_upper_bound c ?798) =>= least_upper_bound a ?798 [798] by Super 8 with 17 at 1,3
% 4.93/1.62 Id : 299, {_}: least_upper_bound a c =<= least_upper_bound a (greatest_lower_bound c ?803) [803] by Super 296 with 11 at 2,2
% 4.93/1.62 Id : 348, {_}: a =<= least_upper_bound a (greatest_lower_bound c ?856) [856] by Demod 299 with 17 at 2
% 4.93/1.62 Id : 349, {_}: a =<= least_upper_bound a (greatest_lower_bound ?858 c) [858] by Super 348 with 5 at 2,3
% 4.93/1.62 Id : 802, {_}: greatest_lower_bound (greatest_lower_bound ?1554 c) a =>= greatest_lower_bound ?1554 c [1554] by Super 782 with 349 at 2,2
% 4.93/1.62 Id : 830, {_}: greatest_lower_bound a (greatest_lower_bound ?1554 c) =>= greatest_lower_bound ?1554 c [1554] by Demod 802 with 5 at 2
% 4.93/1.62 Id : 5718, {_}: greatest_lower_bound a (greatest_lower_bound (greatest_lower_bound ?6507 c) ?6508) =>= greatest_lower_bound (greatest_lower_bound ?6507 c) ?6508 [6508, 6507] by Super 7 with 830 at 1,3
% 4.93/1.62 Id : 5719, {_}: greatest_lower_bound a (greatest_lower_bound (greatest_lower_bound c ?6510) ?6511) =>= greatest_lower_bound (greatest_lower_bound ?6510 c) ?6511 [6511, 6510] by Super 5718 with 5 at 1,2,2
% 4.93/1.62 Id : 5765, {_}: greatest_lower_bound a (greatest_lower_bound c (greatest_lower_bound ?6510 ?6511)) =>= greatest_lower_bound (greatest_lower_bound ?6510 c) ?6511 [6511, 6510] by Demod 5719 with 7 at 2,2
% 4.93/1.62 Id : 308, {_}: a =<= least_upper_bound a (greatest_lower_bound c ?803) [803] by Demod 299 with 17 at 2
% 4.93/1.62 Id : 800, {_}: greatest_lower_bound (greatest_lower_bound c ?1550) a =>= greatest_lower_bound c ?1550 [1550] by Super 782 with 308 at 2,2
% 4.93/1.62 Id : 828, {_}: greatest_lower_bound a (greatest_lower_bound c ?1550) =>= greatest_lower_bound c ?1550 [1550] by Demod 800 with 5 at 2
% 4.93/1.62 Id : 5850, {_}: greatest_lower_bound c (greatest_lower_bound ?6677 ?6678) =<= greatest_lower_bound (greatest_lower_bound ?6677 c) ?6678 [6678, 6677] by Demod 5765 with 828 at 2
% 4.93/1.62 Id : 787, {_}: greatest_lower_bound c a =>= c [] by Super 782 with 17 at 2,2
% 4.93/1.62 Id : 817, {_}: greatest_lower_bound a c =>= c [] by Demod 787 with 5 at 2
% 4.93/1.62 Id : 5857, {_}: greatest_lower_bound c (greatest_lower_bound a ?6697) =>= greatest_lower_bound c ?6697 [6697] by Super 5850 with 817 at 1,3
% 4.93/1.62 Id : 21194, {_}: least_upper_bound (greatest_lower_bound a ?19704) (greatest_lower_bound c ?19704) =>= greatest_lower_bound a ?19704 [19704] by Super 117 with 5857 at 2,2
% 4.93/1.62 Id : 135, {_}: greatest_lower_bound ?453 (least_upper_bound ?454 ?453) =>= ?453 [454, 453] by Super 134 with 6 at 2,2
% 4.93/1.62 Id : 21199, {_}: least_upper_bound (greatest_lower_bound a (least_upper_bound ?19713 c)) c =>= greatest_lower_bound a (least_upper_bound ?19713 c) [19713] by Super 21194 with 135 at 2,2
% 4.93/1.62 Id : 21509, {_}: least_upper_bound c (greatest_lower_bound a (least_upper_bound ?19978 c)) =>= greatest_lower_bound a (least_upper_bound ?19978 c) [19978] by Demod 21199 with 6 at 2
% 4.93/1.62 Id : 21513, {_}: least_upper_bound c (greatest_lower_bound a b) =>= greatest_lower_bound a (least_upper_bound b c) [] by Super 21509 with 18 at 2,2,2
% 4.93/1.62 Id : 21583, {_}: least_upper_bound c (greatest_lower_bound a b) =>= greatest_lower_bound a b [] by Demod 21513 with 18 at 2,3
% 4.93/1.62 Id : 21692, {_}: greatest_lower_bound a b === greatest_lower_bound a b [] by Demod 292 with 21583 at 2
% 4.93/1.62 Id : 292, {_}: least_upper_bound c (greatest_lower_bound a b) =>= greatest_lower_bound a b [] by Demod 1 with 6 at 2
% 4.93/1.62 Id : 1, {_}: least_upper_bound (greatest_lower_bound a b) c =>= greatest_lower_bound a b [] by prove_ax_glb1a
% 4.93/1.62 % SZS output end CNFRefutation for theBenchmark.p
% 4.93/1.62 14624: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 1.281154 using nrkbo
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