TSTP Solution File: GRP185-3 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP185-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n016.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 10:29:30 EDT 2022
% Result : Unsatisfiable 1.10s 0.63s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP185-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 06:26:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 27149: Facts:
% 0.13/0.34 27149: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.34 27149: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.13/0.34 27149: Id : 4, {_}:
% 0.13/0.34 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.13/0.34 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.13/0.34 27149: Id : 5, {_}:
% 0.13/0.34 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.13/0.34 [11, 10] by symmetry_of_glb ?10 ?11
% 0.13/0.34 27149: Id : 6, {_}:
% 0.13/0.34 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.13/0.34 [14, 13] by symmetry_of_lub ?13 ?14
% 0.13/0.34 27149: Id : 7, {_}:
% 0.13/0.34 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.13/0.34 =?=
% 0.13/0.34 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.13/0.34 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.13/0.34 27149: Id : 8, {_}:
% 0.13/0.34 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.13/0.34 =?=
% 0.13/0.34 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.13/0.34 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.13/0.34 27149: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.13/0.34 27149: Id : 10, {_}:
% 0.13/0.34 greatest_lower_bound ?26 ?26 =>= ?26
% 0.13/0.34 [26] by idempotence_of_gld ?26
% 0.13/0.34 27149: Id : 11, {_}:
% 0.13/0.34 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.13/0.34 [29, 28] by lub_absorbtion ?28 ?29
% 0.13/0.34 27149: Id : 12, {_}:
% 0.13/0.34 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.13/0.34 [32, 31] by glb_absorbtion ?31 ?32
% 0.13/0.34 27149: Id : 13, {_}:
% 0.13/0.34 multiply ?34 (least_upper_bound ?35 ?36)
% 0.13/0.34 =<=
% 0.13/0.34 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.13/0.34 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.13/0.34 27149: Id : 14, {_}:
% 0.13/0.34 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.13/0.34 =<=
% 0.13/0.34 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.13/0.34 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.13/0.34 27149: Id : 15, {_}:
% 0.13/0.34 multiply (least_upper_bound ?42 ?43) ?44
% 0.13/0.34 =<=
% 0.13/0.34 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.13/0.34 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.13/0.34 27149: Id : 16, {_}:
% 0.13/0.34 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.13/0.34 =<=
% 0.13/0.34 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.13/0.34 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.13/0.34 27149: Goal:
% 0.13/0.34 27149: Id : 1, {_}:
% 0.13/0.34 greatest_lower_bound (least_upper_bound (multiply a b) identity)
% 0.13/0.34 (multiply (least_upper_bound a identity)
% 0.13/0.34 (least_upper_bound b identity))
% 0.13/0.34 =>=
% 0.13/0.34 least_upper_bound (multiply a b) identity
% 0.13/0.34 [] by prove_p22b
% 1.10/0.63 Statistics :
% 1.10/0.63 Max weight : 21
% 1.10/0.63 Found proof, 0.285185s
% 1.10/0.63 % SZS status Unsatisfiable for theBenchmark.p
% 1.10/0.63 % SZS output start CNFRefutation for theBenchmark.p
% 1.10/0.63 Id : 108, {_}: greatest_lower_bound ?251 (least_upper_bound ?251 ?252) =>= ?251 [252, 251] by glb_absorbtion ?251 ?252
% 1.10/0.63 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 1.10/0.63 Id : 21, {_}: multiply (multiply ?57 ?58) ?59 =>= multiply ?57 (multiply ?58 ?59) [59, 58, 57] by associativity ?57 ?58 ?59
% 1.10/0.63 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 1.10/0.63 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
% 1.10/0.63 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
% 1.10/0.63 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
% 1.10/0.63 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 1.10/0.63 Id : 23, {_}: multiply identity ?64 =<= multiply (inverse ?65) (multiply ?65 ?64) [65, 64] by Super 21 with 3 at 1,2
% 1.10/0.63 Id : 392, {_}: ?594 =<= multiply (inverse ?595) (multiply ?595 ?594) [595, 594] by Demod 23 with 2 at 2
% 1.10/0.63 Id : 394, {_}: ?599 =<= multiply (inverse (inverse ?599)) identity [599] by Super 392 with 3 at 2,3
% 1.10/0.63 Id : 27, {_}: ?64 =<= multiply (inverse ?65) (multiply ?65 ?64) [65, 64] by Demod 23 with 2 at 2
% 1.10/0.63 Id : 400, {_}: multiply ?621 ?622 =<= multiply (inverse (inverse ?621)) ?622 [622, 621] by Super 392 with 27 at 2,3
% 1.10/0.63 Id : 525, {_}: ?599 =<= multiply ?599 identity [599] by Demod 394 with 400 at 3
% 1.10/0.63 Id : 815, {_}: greatest_lower_bound ?1092 (least_upper_bound ?1093 ?1092) =>= ?1092 [1093, 1092] by Super 108 with 6 at 2,2
% 1.10/0.63 Id : 822, {_}: greatest_lower_bound ?1112 (least_upper_bound ?1113 (least_upper_bound ?1114 ?1112)) =>= ?1112 [1114, 1113, 1112] by Super 815 with 8 at 2,2
% 1.10/0.63 Id : 2353, {_}: least_upper_bound identity (multiply a b) === least_upper_bound identity (multiply a b) [] by Demod 2352 with 822 at 2
% 1.10/0.63 Id : 2352, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound b (least_upper_bound a (least_upper_bound identity (multiply a b)))) =>= least_upper_bound identity (multiply a b) [] by Demod 2351 with 8 at 2,2,2
% 1.10/0.63 Id : 2351, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound b (least_upper_bound (least_upper_bound a identity) (multiply a b))) =>= least_upper_bound identity (multiply a b) [] by Demod 2350 with 8 at 2,2
% 1.10/0.63 Id : 2350, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (least_upper_bound b (least_upper_bound a identity)) (multiply a b)) =>= least_upper_bound identity (multiply a b) [] by Demod 2349 with 6 at 2,2
% 1.10/0.63 Id : 2349, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound a identity))) =>= least_upper_bound identity (multiply a b) [] by Demod 2348 with 2 at 2,2,2,2,2
% 1.10/0.63 Id : 2348, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound a (multiply identity identity)))) =>= least_upper_bound identity (multiply a b) [] by Demod 2347 with 525 at 1,2,2,2,2
% 1.10/0.63 Id : 2347, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound (multiply a identity) (multiply identity identity)))) =>= least_upper_bound identity (multiply a b) [] by Demod 2346 with 2 at 1,2,2,2
% 1.10/0.63 Id : 2346, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity)))) =>= least_upper_bound identity (multiply a b) [] by Demod 2345 with 8 at 2,2
% 1.10/0.63 Id : 2345, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (least_upper_bound (multiply a identity) (multiply identity identity))) =>= least_upper_bound identity (multiply a b) [] by Demod 2344 with 15 at 2,2,2
% 1.10/0.63 Id : 2344, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (multiply (least_upper_bound a identity) identity)) =>= least_upper_bound identity (multiply a b) [] by Demod 2343 with 15 at 1,2,2
% 1.10/0.63 Id : 2343, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity)) =>= least_upper_bound identity (multiply a b) [] by Demod 2342 with 6 at 3
% 1.10/0.63 Id : 2342, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity)) =>= least_upper_bound (multiply a b) identity [] by Demod 2341 with 13 at 2,2
% 1.10/0.63 Id : 2341, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (multiply (least_upper_bound a identity) (least_upper_bound b identity)) =>= least_upper_bound (multiply a b) identity [] by Demod 1 with 6 at 1,2
% 1.10/0.63 Id : 1, {_}: greatest_lower_bound (least_upper_bound (multiply a b) identity) (multiply (least_upper_bound a identity) (least_upper_bound b identity)) =>= least_upper_bound (multiply a b) identity [] by prove_p22b
% 1.10/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 1.10/0.63 27151: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.287566 using lpo
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