TSTP Solution File: GRP173-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP173-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n006.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 10:29:21 EDT 2022
% Result : Unsatisfiable 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP173-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n006.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 19:14:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.34 13413: Facts:
% 0.18/0.34 13413: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.18/0.34 13413: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.18/0.34 13413: Id : 4, {_}:
% 0.18/0.34 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.18/0.34 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.18/0.34 13413: Id : 5, {_}:
% 0.18/0.34 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.18/0.34 [11, 10] by symmetry_of_glb ?10 ?11
% 0.18/0.34 13413: Id : 6, {_}:
% 0.18/0.34 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.18/0.34 [14, 13] by symmetry_of_lub ?13 ?14
% 0.18/0.34 13413: Id : 7, {_}:
% 0.18/0.34 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.18/0.34 =?=
% 0.18/0.34 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.18/0.34 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.18/0.34 13413: Id : 8, {_}:
% 0.18/0.34 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.18/0.34 =?=
% 0.18/0.34 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.18/0.34 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.18/0.34 13413: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.18/0.34 13413: Id : 10, {_}:
% 0.18/0.34 greatest_lower_bound ?26 ?26 =>= ?26
% 0.18/0.34 [26] by idempotence_of_gld ?26
% 0.18/0.34 13413: Id : 11, {_}:
% 0.18/0.34 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.18/0.34 [29, 28] by lub_absorbtion ?28 ?29
% 0.18/0.34 13413: Id : 12, {_}:
% 0.18/0.34 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.18/0.34 [32, 31] by glb_absorbtion ?31 ?32
% 0.18/0.34 13413: Id : 13, {_}:
% 0.18/0.34 multiply ?34 (least_upper_bound ?35 ?36)
% 0.18/0.34 =<=
% 0.18/0.34 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.18/0.34 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.18/0.34 13413: Id : 14, {_}:
% 0.18/0.34 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.18/0.34 =<=
% 0.18/0.34 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.18/0.34 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.18/0.34 13413: Id : 15, {_}:
% 0.18/0.34 multiply (least_upper_bound ?42 ?43) ?44
% 0.18/0.34 =<=
% 0.18/0.34 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.18/0.34 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.18/0.34 13413: Id : 16, {_}:
% 0.18/0.34 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.18/0.34 =<=
% 0.18/0.34 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.18/0.34 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.18/0.34 13413: Id : 17, {_}: least_upper_bound identity a =>= identity [] by p05a_1
% 0.18/0.34 13413: Id : 18, {_}: least_upper_bound identity (inverse a) =>= identity [] by p05a_2
% 0.18/0.34 13413: Goal:
% 0.18/0.34 13413: Id : 1, {_}: identity =<= a [] by prove_p05a
% 0.18/0.45 Statistics :
% 0.18/0.45 Max weight : 10
% 0.18/0.45 Found proof, 0.115888s
% 0.18/0.45 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.45 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.45 Id : 18, {_}: least_upper_bound identity (inverse a) =>= identity [] by p05a_2
% 0.18/0.45 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 0.18/0.45 Id : 17, {_}: least_upper_bound identity a =>= identity [] by p05a_1
% 0.18/0.45 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
% 0.18/0.45 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.18/0.45 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.18/0.45 Id : 23, {_}: multiply (multiply ?59 ?60) ?61 =>= multiply ?59 (multiply ?60 ?61) [61, 60, 59] by associativity ?59 ?60 ?61
% 0.18/0.45 Id : 25, {_}: multiply identity ?66 =<= multiply (inverse ?67) (multiply ?67 ?66) [67, 66] by Super 23 with 3 at 1,2
% 0.18/0.45 Id : 292, {_}: ?516 =<= multiply (inverse ?517) (multiply ?517 ?516) [517, 516] by Demod 25 with 2 at 2
% 0.18/0.45 Id : 294, {_}: ?521 =<= multiply (inverse (inverse ?521)) identity [521] by Super 292 with 3 at 2,3
% 0.18/0.45 Id : 29, {_}: ?66 =<= multiply (inverse ?67) (multiply ?67 ?66) [67, 66] by Demod 25 with 2 at 2
% 0.18/0.45 Id : 300, {_}: multiply ?543 ?544 =<= multiply (inverse (inverse ?543)) ?544 [544, 543] by Super 292 with 29 at 2,3
% 0.18/0.45 Id : 737, {_}: ?521 =<= multiply ?521 identity [521] by Demod 294 with 300 at 3
% 0.18/0.45 Id : 738, {_}: inverse (inverse ?1238) =<= multiply ?1238 identity [1238] by Super 737 with 300 at 3
% 0.18/0.45 Id : 763, {_}: inverse (inverse ?1238) =>= ?1238 [1238] by Demod 738 with 737 at 3
% 0.18/0.45 Id : 267, {_}: multiply identity ?492 =<= least_upper_bound (multiply identity ?492) (multiply a ?492) [492] by Super 15 with 17 at 1,2
% 0.18/0.45 Id : 277, {_}: ?492 =<= least_upper_bound (multiply identity ?492) (multiply a ?492) [492] by Demod 267 with 2 at 2
% 0.18/0.45 Id : 278, {_}: ?492 =<= least_upper_bound ?492 (multiply a ?492) [492] by Demod 277 with 2 at 1,3
% 0.18/0.45 Id : 745, {_}: multiply ?1260 ?1261 =<= multiply (inverse (inverse ?1260)) ?1261 [1261, 1260] by Super 292 with 29 at 2,3
% 0.18/0.45 Id : 747, {_}: multiply ?1265 (inverse ?1265) =>= identity [1265] by Super 745 with 3 at 3
% 0.18/0.45 Id : 785, {_}: inverse a =<= least_upper_bound (inverse a) identity [] by Super 278 with 747 at 2,3
% 0.18/0.45 Id : 803, {_}: inverse a =<= least_upper_bound identity (inverse a) [] by Demod 785 with 6 at 3
% 0.18/0.45 Id : 804, {_}: inverse a =>= identity [] by Demod 803 with 18 at 3
% 0.18/0.45 Id : 814, {_}: inverse identity =>= a [] by Super 763 with 804 at 1,2
% 0.18/0.45 Id : 293, {_}: ?519 =<= multiply (inverse identity) ?519 [519] by Super 292 with 2 at 2,3
% 0.18/0.45 Id : 316, {_}: ?558 =<= multiply (inverse (inverse identity)) ?558 [558] by Super 29 with 293 at 2,3
% 0.18/0.45 Id : 367, {_}: inverse identity =>= identity [] by Super 3 with 316 at 2
% 0.18/0.45 Id : 817, {_}: identity =<= a [] by Demod 814 with 367 at 2
% 0.18/0.45 Id : 840, {_}: identity === identity [] by Demod 1 with 817 at 3
% 0.18/0.45 Id : 1, {_}: identity =<= a [] by prove_p05a
% 0.18/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.45 13415: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.117851 using lpo
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