TSTP Solution File: GRP191-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP191-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n027.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 11.78s 3.31s
% Output : CNFRefutation 11.78s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP191-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 23:22:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 8842: Facts:
% 0.12/0.35 8842: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.12/0.35 8842: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.12/0.35 8842: Id : 4, {_}:
% 0.12/0.35 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.12/0.35 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.12/0.35 8842: Id : 5, {_}:
% 0.12/0.35 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.12/0.35 [11, 10] by symmetry_of_glb ?10 ?11
% 0.12/0.35 8842: Id : 6, {_}:
% 0.12/0.35 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.12/0.35 [14, 13] by symmetry_of_lub ?13 ?14
% 0.12/0.35 8842: Id : 7, {_}:
% 0.12/0.35 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.12/0.35 =?=
% 0.12/0.35 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.12/0.35 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.12/0.35 8842: Id : 8, {_}:
% 0.12/0.35 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.12/0.35 =?=
% 0.12/0.35 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.12/0.35 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.12/0.35 8842: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.12/0.35 8842: Id : 10, {_}:
% 0.12/0.35 greatest_lower_bound ?26 ?26 =>= ?26
% 0.12/0.35 [26] by idempotence_of_gld ?26
% 0.12/0.35 8842: Id : 11, {_}:
% 0.12/0.35 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.12/0.35 [29, 28] by lub_absorbtion ?28 ?29
% 0.12/0.35 8842: Id : 12, {_}:
% 0.12/0.35 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.12/0.35 [32, 31] by glb_absorbtion ?31 ?32
% 0.12/0.35 8842: Id : 13, {_}:
% 0.12/0.35 multiply ?34 (least_upper_bound ?35 ?36)
% 0.12/0.35 =<=
% 0.12/0.35 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.12/0.35 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.12/0.35 8842: Id : 14, {_}:
% 0.12/0.35 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.12/0.35 =<=
% 0.12/0.35 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.12/0.35 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.12/0.35 8842: Id : 15, {_}:
% 0.12/0.35 multiply (least_upper_bound ?42 ?43) ?44
% 0.12/0.35 =<=
% 0.12/0.35 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.12/0.35 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.12/0.35 8842: Id : 16, {_}:
% 0.12/0.35 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.12/0.35 =<=
% 0.12/0.35 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.12/0.35 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.12/0.35 8842: Id : 17, {_}: greatest_lower_bound a b =>= b [] by p39b_1
% 0.12/0.35 8842: Goal:
% 0.12/0.35 8842: Id : 1, {_}:
% 0.12/0.35 greatest_lower_bound (inverse a) (inverse b) =>= inverse a
% 0.12/0.35 [] by prove_p39b
% 11.78/3.31 Statistics :
% 11.78/3.31 Max weight : 12
% 11.78/3.31 Found proof, 2.966759s
% 11.78/3.31 % SZS status Unsatisfiable for theBenchmark.p
% 11.78/3.31 % SZS output start CNFRefutation for theBenchmark.p
% 11.78/3.31 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 11.78/3.31 Id : 22, {_}: multiply (multiply ?58 ?59) ?60 =>= multiply ?58 (multiply ?59 ?60) [60, 59, 58] by associativity ?58 ?59 ?60
% 11.78/3.31 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 11.78/3.31 Id : 4, {_}: multiply (multiply ?6 ?7) ?8 =>= multiply ?6 (multiply ?7 ?8) [8, 7, 6] by associativity ?6 ?7 ?8
% 11.78/3.31 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 11.78/3.31 Id : 17, {_}: greatest_lower_bound a b =>= b [] by p39b_1
% 11.78/3.31 Id : 14, {_}: multiply ?38 (greatest_lower_bound ?39 ?40) =>= greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40) [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 11.78/3.31 Id : 16, {_}: multiply (greatest_lower_bound ?46 ?47) ?48 =>= greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48) [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 11.78/3.31 Id : 1624, {_}: multiply ?2427 b =<= greatest_lower_bound (multiply ?2427 a) (multiply ?2427 b) [2427] by Super 14 with 17 at 2,2
% 11.78/3.31 Id : 1631, {_}: multiply (inverse a) b =<= greatest_lower_bound identity (multiply (inverse a) b) [] by Super 1624 with 3 at 1,3
% 11.78/3.31 Id : 1685, {_}: multiply (multiply (inverse a) b) ?2468 =<= greatest_lower_bound (multiply identity ?2468) (multiply (multiply (inverse a) b) ?2468) [2468] by Super 16 with 1631 at 1,2
% 11.78/3.31 Id : 1693, {_}: multiply (inverse a) (multiply b ?2468) =<= greatest_lower_bound (multiply identity ?2468) (multiply (multiply (inverse a) b) ?2468) [2468] by Demod 1685 with 4 at 2
% 11.78/3.31 Id : 1694, {_}: multiply (inverse a) (multiply b ?2468) =<= greatest_lower_bound ?2468 (multiply (multiply (inverse a) b) ?2468) [2468] by Demod 1693 with 2 at 1,3
% 11.78/3.31 Id : 25825, {_}: multiply (inverse a) (multiply b ?26043) =<= greatest_lower_bound ?26043 (multiply (inverse a) (multiply b ?26043)) [26043] by Demod 1694 with 4 at 2,3
% 11.78/3.31 Id : 24, {_}: multiply identity ?65 =<= multiply (inverse ?66) (multiply ?66 ?65) [66, 65] by Super 22 with 3 at 1,2
% 11.78/3.31 Id : 286, {_}: ?515 =<= multiply (inverse ?516) (multiply ?516 ?515) [516, 515] by Demod 24 with 2 at 2
% 11.78/3.31 Id : 28, {_}: ?65 =<= multiply (inverse ?66) (multiply ?66 ?65) [66, 65] by Demod 24 with 2 at 2
% 11.78/3.31 Id : 598, {_}: multiply ?972 ?973 =<= multiply (inverse (inverse ?972)) ?973 [973, 972] by Super 286 with 28 at 2,3
% 11.78/3.31 Id : 600, {_}: multiply ?977 (inverse ?977) =>= identity [977] by Super 598 with 3 at 3
% 11.78/3.31 Id : 25828, {_}: multiply (inverse a) (multiply b (inverse b)) =>= greatest_lower_bound (inverse b) (multiply (inverse a) identity) [] by Super 25825 with 600 at 2,2,3
% 11.78/3.31 Id : 25920, {_}: multiply (inverse a) identity =<= greatest_lower_bound (inverse b) (multiply (inverse a) identity) [] by Demod 25828 with 600 at 2,2
% 11.78/3.31 Id : 288, {_}: ?520 =<= multiply (inverse (inverse ?520)) identity [520] by Super 286 with 3 at 2,3
% 11.78/3.31 Id : 294, {_}: multiply ?542 ?543 =<= multiply (inverse (inverse ?542)) ?543 [543, 542] by Super 286 with 28 at 2,3
% 11.78/3.31 Id : 590, {_}: ?520 =<= multiply ?520 identity [520] by Demod 288 with 294 at 3
% 11.78/3.31 Id : 25921, {_}: multiply (inverse a) identity =>= greatest_lower_bound (inverse b) (inverse a) [] by Demod 25920 with 590 at 2,3
% 11.78/3.31 Id : 25922, {_}: inverse a =<= greatest_lower_bound (inverse b) (inverse a) [] by Demod 25921 with 590 at 2
% 11.78/3.31 Id : 25923, {_}: inverse a =<= greatest_lower_bound (inverse a) (inverse b) [] by Demod 25922 with 5 at 3
% 11.78/3.31 Id : 25966, {_}: inverse a === inverse a [] by Demod 1 with 25923 at 2
% 11.78/3.31 Id : 1, {_}: greatest_lower_bound (inverse a) (inverse b) =>= inverse a [] by prove_p39b
% 11.78/3.31 % SZS output end CNFRefutation for theBenchmark.p
% 11.78/3.31 8844: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 2.968379 using lpo
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