TSTP Solution File: GRP174-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP174-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n004.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 10:29:22 EDT 2022
% Result : Unsatisfiable 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP174-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33 % Computer : n004.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 08:03:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 7045: Facts:
% 0.13/0.34 7045: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.34 7045: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.13/0.34 7045: 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 7045: 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 7045: 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 7045: 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 7045: 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 7045: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.13/0.34 7045: 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 7045: 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 7045: 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 7045: 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 7045: 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 7045: 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 7045: 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 7045: Id : 17, {_}: greatest_lower_bound identity a =>= a [] by p05b_1
% 0.13/0.34 7045: Id : 18, {_}:
% 0.13/0.34 greatest_lower_bound identity (inverse a) =>= inverse a
% 0.13/0.34 [] by p05b_2
% 0.13/0.34 7045: Goal:
% 0.13/0.34 7045: Id : 1, {_}: identity =<= a [] by prove_p05b
% 0.19/0.47 Statistics :
% 0.19/0.47 Max weight : 16
% 0.19/0.47 Found proof, 0.126900s
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.47 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.47 Id : 17, {_}: greatest_lower_bound identity a =>= a [] by p05b_1
% 0.19/0.47 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.19/0.47 Id : 23, {_}: multiply (multiply ?59 ?60) ?61 =?= multiply ?59 (multiply ?60 ?61) [61, 60, 59] by associativity ?59 ?60 ?61
% 0.19/0.47 Id : 18, {_}: greatest_lower_bound identity (inverse a) =>= inverse a [] by p05b_2
% 0.19/0.47 Id : 11, {_}: least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28 [29, 28] by lub_absorbtion ?28 ?29
% 0.19/0.47 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 0.19/0.47 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.19/0.47 Id : 153, {_}: multiply ?503 (least_upper_bound ?504 ?505) =<= least_upper_bound (multiply ?503 ?504) (multiply ?503 ?505) [505, 504, 503] by monotony_lub1 ?503 ?504 ?505
% 0.19/0.47 Id : 155, {_}: multiply (inverse ?510) (least_upper_bound ?511 ?510) =>= least_upper_bound (multiply (inverse ?510) ?511) identity [511, 510] by Super 153 with 3 at 2,3
% 0.19/0.47 Id : 2142, {_}: multiply (inverse ?3190) (least_upper_bound ?3191 ?3190) =>= least_upper_bound identity (multiply (inverse ?3190) ?3191) [3191, 3190] by Demod 155 with 6 at 3
% 0.19/0.47 Id : 285, {_}: least_upper_bound identity (inverse a) =>= identity [] by Super 11 with 18 at 2,2
% 0.19/0.47 Id : 2151, {_}: multiply (inverse (inverse a)) identity =<= least_upper_bound identity (multiply (inverse (inverse a)) identity) [] by Super 2142 with 285 at 2,2
% 0.19/0.47 Id : 1898, {_}: multiply (multiply ?2847 (inverse ?2848)) ?2848 =>= multiply ?2847 identity [2848, 2847] by Super 23 with 3 at 2,3
% 0.19/0.47 Id : 1901, {_}: multiply identity ?2854 =<= multiply (inverse (inverse ?2854)) identity [2854] by Super 1898 with 3 at 1,2
% 0.19/0.47 Id : 1914, {_}: ?2854 =<= multiply (inverse (inverse ?2854)) identity [2854] by Demod 1901 with 2 at 2
% 0.19/0.47 Id : 24, {_}: multiply (multiply ?63 identity) ?64 =>= multiply ?63 ?64 [64, 63] by Super 23 with 2 at 2,3
% 0.19/0.47 Id : 1919, {_}: multiply ?2875 ?2876 =<= multiply (inverse (inverse ?2875)) ?2876 [2876, 2875] by Super 24 with 1914 at 1,2
% 0.19/0.47 Id : 1934, {_}: ?2854 =<= multiply ?2854 identity [2854] by Demod 1914 with 1919 at 3
% 0.19/0.47 Id : 2191, {_}: inverse (inverse a) =<= least_upper_bound identity (multiply (inverse (inverse a)) identity) [] by Demod 2151 with 1934 at 2
% 0.19/0.47 Id : 2192, {_}: inverse (inverse a) =<= least_upper_bound identity (inverse (inverse a)) [] by Demod 2191 with 1934 at 2,3
% 0.19/0.47 Id : 1950, {_}: inverse (inverse ?2962) =<= multiply ?2962 identity [2962] by Super 1934 with 1919 at 3
% 0.19/0.47 Id : 1956, {_}: inverse (inverse ?2962) =>= ?2962 [2962] by Demod 1950 with 1934 at 3
% 0.19/0.47 Id : 2193, {_}: a =<= least_upper_bound identity (inverse (inverse a)) [] by Demod 2192 with 1956 at 2
% 0.19/0.47 Id : 2194, {_}: a =<= least_upper_bound identity a [] by Demod 2193 with 1956 at 2,3
% 0.19/0.47 Id : 276, {_}: least_upper_bound identity a =>= identity [] by Super 11 with 17 at 2,2
% 0.19/0.47 Id : 2195, {_}: a =>= identity [] by Demod 2194 with 276 at 3
% 0.19/0.47 Id : 2271, {_}: identity === identity [] by Demod 1 with 2195 at 3
% 0.19/0.47 Id : 1, {_}: identity =<= a [] by prove_p05b
% 0.19/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.47 7048: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.128793 using nrkbo
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