TSTP Solution File: GRP190-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP190-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n009.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 10:29:33 EDT 2022
% Result : Unsatisfiable 12.97s 3.55s
% Output : CNFRefutation 12.97s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP190-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.32 % Computer : n009.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jun 13 12:53:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 15176: Facts:
% 0.12/0.33 15176: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.12/0.33 15176: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.12/0.33 15176: Id : 4, {_}:
% 0.12/0.33 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.12/0.33 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.12/0.33 15176: Id : 5, {_}:
% 0.12/0.33 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.12/0.33 [11, 10] by symmetry_of_glb ?10 ?11
% 0.12/0.33 15176: Id : 6, {_}:
% 0.12/0.33 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.12/0.33 [14, 13] by symmetry_of_lub ?13 ?14
% 0.12/0.33 15176: Id : 7, {_}:
% 0.12/0.33 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.12/0.33 =?=
% 0.12/0.33 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.12/0.33 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.12/0.33 15176: Id : 8, {_}:
% 0.12/0.33 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.12/0.33 =?=
% 0.12/0.33 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.12/0.33 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.12/0.33 15176: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.12/0.33 15176: Id : 10, {_}:
% 0.12/0.33 greatest_lower_bound ?26 ?26 =>= ?26
% 0.12/0.33 [26] by idempotence_of_gld ?26
% 0.12/0.33 15176: Id : 11, {_}:
% 0.12/0.33 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.12/0.33 [29, 28] by lub_absorbtion ?28 ?29
% 0.12/0.33 15176: Id : 12, {_}:
% 0.12/0.33 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.12/0.33 [32, 31] by glb_absorbtion ?31 ?32
% 0.12/0.33 15176: Id : 13, {_}:
% 0.12/0.33 multiply ?34 (least_upper_bound ?35 ?36)
% 0.12/0.33 =<=
% 0.12/0.33 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.12/0.33 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.12/0.33 15176: Id : 14, {_}:
% 0.12/0.33 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.12/0.33 =<=
% 0.12/0.33 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.12/0.33 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.12/0.33 15176: Id : 15, {_}:
% 0.12/0.33 multiply (least_upper_bound ?42 ?43) ?44
% 0.12/0.33 =<=
% 0.12/0.33 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.12/0.33 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.12/0.33 15176: Id : 16, {_}:
% 0.12/0.33 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.12/0.33 =<=
% 0.12/0.33 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.12/0.33 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.12/0.33 15176: Id : 17, {_}: least_upper_bound a b =>= a [] by p39a_1
% 0.12/0.33 15176: Goal:
% 0.12/0.33 15176: Id : 1, {_}:
% 0.12/0.33 least_upper_bound (inverse a) (inverse b) =>= inverse b
% 0.12/0.33 [] by prove_p39a
% 12.97/3.55 Statistics :
% 12.97/3.55 Max weight : 12
% 12.97/3.55 Found proof, 3.223183s
% 12.97/3.55 % SZS status Unsatisfiable for theBenchmark.p
% 12.97/3.55 % SZS output start CNFRefutation for theBenchmark.p
% 12.97/3.55 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 12.97/3.55 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 12.97/3.55 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 12.97/3.55 Id : 22, {_}: multiply (multiply ?58 ?59) ?60 =>= multiply ?58 (multiply ?59 ?60) [60, 59, 58] by associativity ?58 ?59 ?60
% 12.97/3.55 Id : 17, {_}: least_upper_bound a b =>= a [] by p39a_1
% 12.97/3.55 Id : 15, {_}: multiply (least_upper_bound ?42 ?43) ?44 =>= least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44) [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 12.97/3.55 Id : 13, {_}: multiply ?34 (least_upper_bound ?35 ?36) =>= least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36) [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 12.97/3.55 Id : 1620, {_}: multiply a ?2421 =<= least_upper_bound (multiply a ?2421) (multiply b ?2421) [2421] by Super 15 with 17 at 1,2
% 12.97/3.55 Id : 24, {_}: multiply identity ?65 =<= multiply (inverse ?66) (multiply ?66 ?65) [66, 65] by Super 22 with 3 at 1,2
% 12.97/3.55 Id : 299, {_}: ?529 =<= multiply (inverse ?530) (multiply ?530 ?529) [530, 529] by Demod 24 with 2 at 2
% 12.97/3.55 Id : 28, {_}: ?65 =<= multiply (inverse ?66) (multiply ?66 ?65) [66, 65] by Demod 24 with 2 at 2
% 12.97/3.55 Id : 544, {_}: multiply ?915 ?916 =<= multiply (inverse (inverse ?915)) ?916 [916, 915] by Super 299 with 28 at 2,3
% 12.97/3.55 Id : 546, {_}: multiply ?920 (inverse ?920) =>= identity [920] by Super 544 with 3 at 3
% 12.97/3.55 Id : 1623, {_}: multiply a (inverse b) =<= least_upper_bound (multiply a (inverse b)) identity [] by Super 1620 with 546 at 2,3
% 12.97/3.55 Id : 1647, {_}: multiply a (inverse b) =<= least_upper_bound identity (multiply a (inverse b)) [] by Demod 1623 with 6 at 3
% 12.97/3.55 Id : 1666, {_}: multiply ?2448 (multiply a (inverse b)) =<= least_upper_bound (multiply ?2448 identity) (multiply ?2448 (multiply a (inverse b))) [2448] by Super 13 with 1647 at 2,2
% 12.97/3.55 Id : 301, {_}: ?534 =<= multiply (inverse (inverse ?534)) identity [534] by Super 299 with 3 at 2,3
% 12.97/3.55 Id : 307, {_}: multiply ?556 ?557 =<= multiply (inverse (inverse ?556)) ?557 [557, 556] by Super 299 with 28 at 2,3
% 12.97/3.55 Id : 536, {_}: ?534 =<= multiply ?534 identity [534] by Demod 301 with 307 at 3
% 12.97/3.55 Id : 26556, {_}: multiply ?26391 (multiply a (inverse b)) =<= least_upper_bound ?26391 (multiply ?26391 (multiply a (inverse b))) [26391] by Demod 1666 with 536 at 1,3
% 12.97/3.55 Id : 26562, {_}: multiply (inverse a) (multiply a (inverse b)) =>= least_upper_bound (inverse a) (inverse b) [] by Super 26556 with 28 at 2,3
% 12.97/3.55 Id : 26662, {_}: inverse b =<= least_upper_bound (inverse a) (inverse b) [] by Demod 26562 with 28 at 2
% 12.97/3.55 Id : 26707, {_}: inverse b === inverse b [] by Demod 1 with 26662 at 2
% 12.97/3.55 Id : 1, {_}: least_upper_bound (inverse a) (inverse b) =>= inverse b [] by prove_p39a
% 12.97/3.55 % SZS output end CNFRefutation for theBenchmark.p
% 12.97/3.55 15178: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 3.225174 using lpo
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