TSTP Solution File: GRP169-2 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP169-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n022.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 10:29:20 EDT 2022
% Result : Unsatisfiable 2.73s 1.03s
% Output : CNFRefutation 2.73s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP169-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 12:02:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 9854: Facts:
% 0.12/0.34 9854: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.12/0.34 9854: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.12/0.34 9854: Id : 4, {_}:
% 0.12/0.34 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.12/0.34 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.12/0.34 9854: Id : 5, {_}:
% 0.12/0.34 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.12/0.34 [11, 10] by symmetry_of_glb ?10 ?11
% 0.12/0.34 9854: Id : 6, {_}:
% 0.12/0.34 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.12/0.34 [14, 13] by symmetry_of_lub ?13 ?14
% 0.12/0.34 9854: Id : 7, {_}:
% 0.12/0.34 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.12/0.34 =?=
% 0.12/0.34 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.12/0.34 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.12/0.34 9854: Id : 8, {_}:
% 0.12/0.34 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.12/0.34 =?=
% 0.12/0.34 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.12/0.34 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.12/0.34 9854: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.12/0.34 9854: Id : 10, {_}:
% 0.12/0.34 greatest_lower_bound ?26 ?26 =>= ?26
% 0.12/0.34 [26] by idempotence_of_gld ?26
% 0.12/0.34 9854: Id : 11, {_}:
% 0.12/0.34 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.12/0.34 [29, 28] by lub_absorbtion ?28 ?29
% 0.12/0.34 9854: Id : 12, {_}:
% 0.12/0.34 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.12/0.34 [32, 31] by glb_absorbtion ?31 ?32
% 0.12/0.34 9854: Id : 13, {_}:
% 0.12/0.34 multiply ?34 (least_upper_bound ?35 ?36)
% 0.12/0.34 =<=
% 0.12/0.34 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.12/0.34 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.12/0.34 9854: Id : 14, {_}:
% 0.12/0.34 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.12/0.34 =<=
% 0.12/0.34 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.12/0.34 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.12/0.34 9854: Id : 15, {_}:
% 0.12/0.34 multiply (least_upper_bound ?42 ?43) ?44
% 0.12/0.34 =<=
% 0.12/0.34 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.12/0.34 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.12/0.34 9854: Id : 16, {_}:
% 0.12/0.34 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.12/0.34 =<=
% 0.12/0.34 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.12/0.34 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.12/0.34 9854: Id : 17, {_}:
% 0.12/0.34 greatest_lower_bound (inverse a) (inverse b) =>= inverse a
% 0.12/0.34 [] by p02b_1
% 0.12/0.34 9854: Goal:
% 0.12/0.34 9854: Id : 1, {_}: greatest_lower_bound a b =>= b [] by prove_p02b
% 2.73/1.03 Statistics :
% 2.73/1.03 Max weight : 12
% 2.73/1.03 Found proof, 0.695859s
% 2.73/1.03 % SZS status Unsatisfiable for theBenchmark.p
% 2.73/1.03 % SZS output start CNFRefutation for theBenchmark.p
% 2.73/1.03 Id : 4, {_}: multiply (multiply ?6 ?7) ?8 =>= multiply ?6 (multiply ?7 ?8) [8, 7, 6] by associativity ?6 ?7 ?8
% 2.73/1.03 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 2.73/1.03 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 2.73/1.03 Id : 22, {_}: multiply (multiply ?58 ?59) ?60 =>= multiply ?58 (multiply ?59 ?60) [60, 59, 58] by associativity ?58 ?59 ?60
% 2.73/1.03 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 2.73/1.03 Id : 17, {_}: greatest_lower_bound (inverse a) (inverse b) =>= inverse a [] by p02b_1
% 2.73/1.03 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
% 2.73/1.03 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
% 2.73/1.03 Id : 1839, {_}: multiply ?2832 (inverse a) =<= greatest_lower_bound (multiply ?2832 (inverse a)) (multiply ?2832 (inverse b)) [2832] by Super 14 with 17 at 2,2
% 2.73/1.03 Id : 1841, {_}: multiply (inverse (inverse b)) (inverse a) =<= greatest_lower_bound (multiply (inverse (inverse b)) (inverse a)) identity [] by Super 1839 with 3 at 2,3
% 2.73/1.03 Id : 24, {_}: multiply identity ?65 =<= multiply (inverse ?66) (multiply ?66 ?65) [66, 65] by Super 22 with 3 at 1,2
% 2.73/1.03 Id : 312, {_}: ?555 =<= multiply (inverse ?556) (multiply ?556 ?555) [556, 555] by Demod 24 with 2 at 2
% 2.73/1.03 Id : 314, {_}: ?560 =<= multiply (inverse (inverse ?560)) identity [560] by Super 312 with 3 at 2,3
% 2.73/1.03 Id : 28, {_}: ?65 =<= multiply (inverse ?66) (multiply ?66 ?65) [66, 65] by Demod 24 with 2 at 2
% 2.73/1.03 Id : 320, {_}: multiply ?582 ?583 =<= multiply (inverse (inverse ?582)) ?583 [583, 582] by Super 312 with 28 at 2,3
% 2.73/1.03 Id : 400, {_}: ?560 =<= multiply ?560 identity [560] by Demod 314 with 320 at 3
% 2.73/1.03 Id : 401, {_}: inverse (inverse ?658) =<= multiply ?658 identity [658] by Super 400 with 320 at 3
% 2.73/1.03 Id : 426, {_}: inverse (inverse ?658) =>= ?658 [658] by Demod 401 with 400 at 3
% 2.73/1.03 Id : 1873, {_}: multiply b (inverse a) =<= greatest_lower_bound (multiply (inverse (inverse b)) (inverse a)) identity [] by Demod 1841 with 426 at 1,2
% 2.73/1.03 Id : 1874, {_}: multiply b (inverse a) =<= greatest_lower_bound identity (multiply (inverse (inverse b)) (inverse a)) [] by Demod 1873 with 5 at 3
% 2.73/1.03 Id : 1875, {_}: multiply b (inverse a) =<= greatest_lower_bound identity (multiply b (inverse a)) [] by Demod 1874 with 426 at 1,2,3
% 2.73/1.03 Id : 1910, {_}: multiply (multiply b (inverse a)) ?2871 =<= greatest_lower_bound (multiply identity ?2871) (multiply (multiply b (inverse a)) ?2871) [2871] by Super 16 with 1875 at 1,2
% 2.73/1.03 Id : 1923, {_}: multiply b (multiply (inverse a) ?2871) =<= greatest_lower_bound (multiply identity ?2871) (multiply (multiply b (inverse a)) ?2871) [2871] by Demod 1910 with 4 at 2
% 2.73/1.03 Id : 1924, {_}: multiply b (multiply (inverse a) ?2871) =<= greatest_lower_bound ?2871 (multiply (multiply b (inverse a)) ?2871) [2871] by Demod 1923 with 2 at 1,3
% 2.73/1.03 Id : 6918, {_}: multiply b (multiply (inverse a) ?8588) =<= greatest_lower_bound ?8588 (multiply b (multiply (inverse a) ?8588)) [8588] by Demod 1924 with 4 at 2,3
% 2.73/1.03 Id : 6919, {_}: multiply b (multiply (inverse a) a) =>= greatest_lower_bound a (multiply b identity) [] by Super 6918 with 3 at 2,2,3
% 2.73/1.03 Id : 6973, {_}: multiply b identity =<= greatest_lower_bound a (multiply b identity) [] by Demod 6919 with 3 at 2,2
% 2.73/1.03 Id : 6974, {_}: multiply b identity =>= greatest_lower_bound a b [] by Demod 6973 with 400 at 2,3
% 2.73/1.03 Id : 6975, {_}: b =<= greatest_lower_bound a b [] by Demod 6974 with 400 at 2
% 2.73/1.03 Id : 7027, {_}: b === b [] by Demod 1 with 6975 at 2
% 2.73/1.03 Id : 1, {_}: greatest_lower_bound a b =>= b [] by prove_p02b
% 2.73/1.03 % SZS output end CNFRefutation for theBenchmark.p
% 2.73/1.03 9856: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.697887 using lpo
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