TSTP Solution File: GRP193-2 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP193-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n010.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 10:29:34 EDT 2022
% Result : Unsatisfiable 1.31s 0.64s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP193-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 09:02:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 21428: Facts:
% 0.13/0.33 21428: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.33 21428: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.13/0.33 21428: Id : 4, {_}:
% 0.13/0.33 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.13/0.33 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.13/0.33 21428: Id : 5, {_}:
% 0.13/0.33 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.13/0.33 [11, 10] by symmetry_of_glb ?10 ?11
% 0.13/0.33 21428: Id : 6, {_}:
% 0.13/0.33 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.13/0.33 [14, 13] by symmetry_of_lub ?13 ?14
% 0.13/0.33 21428: Id : 7, {_}:
% 0.13/0.33 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.13/0.33 =?=
% 0.13/0.33 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.13/0.33 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.13/0.33 21428: Id : 8, {_}:
% 0.13/0.33 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.13/0.33 =?=
% 0.13/0.33 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.13/0.33 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.13/0.33 21428: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.13/0.33 21428: Id : 10, {_}:
% 0.13/0.33 greatest_lower_bound ?26 ?26 =>= ?26
% 0.13/0.33 [26] by idempotence_of_gld ?26
% 0.13/0.33 21428: Id : 11, {_}:
% 0.13/0.33 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.13/0.33 [29, 28] by lub_absorbtion ?28 ?29
% 0.13/0.33 21428: Id : 12, {_}:
% 0.13/0.33 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.13/0.33 [32, 31] by glb_absorbtion ?31 ?32
% 0.13/0.33 21428: Id : 13, {_}:
% 0.13/0.33 multiply ?34 (least_upper_bound ?35 ?36)
% 0.13/0.33 =<=
% 0.13/0.33 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.13/0.33 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.13/0.33 21428: Id : 14, {_}:
% 0.13/0.33 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.13/0.33 =<=
% 0.13/0.33 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.13/0.33 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.13/0.33 21428: Id : 15, {_}:
% 0.13/0.33 multiply (least_upper_bound ?42 ?43) ?44
% 0.13/0.33 =<=
% 0.13/0.33 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.13/0.33 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.13/0.33 21428: Id : 16, {_}:
% 0.13/0.33 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.13/0.33 =<=
% 0.13/0.33 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.13/0.33 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.13/0.33 21428: Id : 17, {_}: greatest_lower_bound identity a =>= identity [] by p8_9b_1
% 0.13/0.33 21428: Id : 18, {_}: greatest_lower_bound identity b =>= identity [] by p8_9b_2
% 0.13/0.33 21428: Id : 19, {_}: greatest_lower_bound identity c =>= identity [] by p8_9b_3
% 0.13/0.33 21428: Id : 20, {_}: greatest_lower_bound a b =>= identity [] by p8_9b_4
% 0.13/0.33 21428: Id : 21, {_}:
% 0.13/0.33 greatest_lower_bound (greatest_lower_bound a (multiply b c))
% 0.13/0.33 (multiply (greatest_lower_bound a b) (greatest_lower_bound a c))
% 0.13/0.33 =>=
% 0.13/0.33 greatest_lower_bound a (multiply b c)
% 0.13/0.33 [] by p8_9b_5
% 0.13/0.33 21428: Goal:
% 0.13/0.33 21428: Id : 1, {_}:
% 0.13/0.33 greatest_lower_bound a (multiply b c) =>= greatest_lower_bound a c
% 0.13/0.33 [] by prove_p8_9b
% 1.31/0.64 Statistics :
% 1.31/0.64 Max weight : 16
% 1.31/0.64 Found proof, 0.308232s
% 1.31/0.64 % SZS status Unsatisfiable for theBenchmark.p
% 1.31/0.64 % SZS output start CNFRefutation for theBenchmark.p
% 1.31/0.64 Id : 18, {_}: greatest_lower_bound identity b =>= identity [] by p8_9b_2
% 1.31/0.64 Id : 222, {_}: multiply (greatest_lower_bound ?491 ?492) ?493 =<= greatest_lower_bound (multiply ?491 ?493) (multiply ?492 ?493) [493, 492, 491] by monotony_glb2 ?491 ?492 ?493
% 1.31/0.64 Id : 10, {_}: greatest_lower_bound ?26 ?26 =>= ?26 [26] by idempotence_of_gld ?26
% 1.31/0.64 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 1.31/0.64 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 1.31/0.64 Id : 20, {_}: greatest_lower_bound a b =>= identity [] by p8_9b_4
% 1.31/0.64 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
% 1.31/0.64 Id : 21, {_}: greatest_lower_bound (greatest_lower_bound a (multiply b c)) (multiply (greatest_lower_bound a b) (greatest_lower_bound a c)) =>= greatest_lower_bound a (multiply b c) [] by p8_9b_5
% 1.31/0.64 Id : 279, {_}: greatest_lower_bound a (greatest_lower_bound (multiply b c) (multiply (greatest_lower_bound a b) (greatest_lower_bound a c))) =>= greatest_lower_bound a (multiply b c) [] by Demod 21 with 7 at 2
% 1.31/0.64 Id : 280, {_}: greatest_lower_bound a (greatest_lower_bound (multiply b c) (multiply identity (greatest_lower_bound a c))) =>= greatest_lower_bound a (multiply b c) [] by Demod 279 with 20 at 1,2,2,2
% 1.31/0.64 Id : 281, {_}: greatest_lower_bound a (greatest_lower_bound (multiply b c) (greatest_lower_bound a c)) =>= greatest_lower_bound a (multiply b c) [] by Demod 280 with 2 at 2,2,2
% 1.31/0.64 Id : 46, {_}: greatest_lower_bound ?111 (greatest_lower_bound ?112 ?113) =?= greatest_lower_bound ?112 (greatest_lower_bound ?113 ?111) [113, 112, 111] by Super 5 with 7 at 3
% 1.31/0.64 Id : 496, {_}: greatest_lower_bound a (greatest_lower_bound a (greatest_lower_bound c (multiply b c))) =>= greatest_lower_bound a (multiply b c) [] by Demod 281 with 46 at 2,2
% 1.31/0.64 Id : 79, {_}: greatest_lower_bound ?198 (greatest_lower_bound ?198 ?199) =>= greatest_lower_bound ?198 ?199 [199, 198] by Super 7 with 10 at 1,3
% 1.31/0.64 Id : 3073, {_}: greatest_lower_bound a (greatest_lower_bound c (multiply b c)) =>= greatest_lower_bound a (multiply b c) [] by Demod 496 with 79 at 2
% 1.31/0.64 Id : 226, {_}: multiply (greatest_lower_bound identity ?506) ?507 =<= greatest_lower_bound ?507 (multiply ?506 ?507) [507, 506] by Super 222 with 2 at 1,3
% 1.31/0.64 Id : 3488, {_}: greatest_lower_bound a (multiply (greatest_lower_bound identity b) c) =>= greatest_lower_bound a (multiply b c) [] by Demod 3073 with 226 at 2,2
% 1.31/0.64 Id : 3489, {_}: greatest_lower_bound a (multiply (greatest_lower_bound b identity) c) =>= greatest_lower_bound a (multiply b c) [] by Demod 3488 with 5 at 1,2,2
% 1.31/0.64 Id : 256, {_}: greatest_lower_bound b identity =>= identity [] by Demod 18 with 5 at 2
% 1.31/0.64 Id : 3490, {_}: greatest_lower_bound a (multiply identity c) =?= greatest_lower_bound a (multiply b c) [] by Demod 3489 with 256 at 1,2,2
% 1.31/0.64 Id : 3491, {_}: greatest_lower_bound a c =<= greatest_lower_bound a (multiply b c) [] by Demod 3490 with 2 at 2,2
% 1.31/0.64 Id : 3572, {_}: greatest_lower_bound a c =?= greatest_lower_bound a c [] by Demod 1 with 3491 at 2
% 1.31/0.64 Id : 1, {_}: greatest_lower_bound a (multiply b c) =>= greatest_lower_bound a c [] by prove_p8_9b
% 1.31/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 1.31/0.64 21429: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.306989 using kbo
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