TSTP Solution File: GRP162-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP162-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n018.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 10:29:16 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% 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 : GRP162-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n018.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 05:11:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 15885: Facts:
% 0.12/0.34 15885: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.12/0.34 15885: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.12/0.34 15885: 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 15885: 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 15885: 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 15885: 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 15885: 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 15885: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.12/0.34 15885: 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 15885: 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 15885: 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 15885: 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 15885: 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 15885: 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 15885: 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 15885: Id : 17, {_}: least_upper_bound a b =>= b [] by ax_transa_1
% 0.12/0.34 15885: Id : 18, {_}: least_upper_bound b c =>= c [] by ax_transa_2
% 0.12/0.34 15885: Goal:
% 0.12/0.34 15885: Id : 1, {_}: least_upper_bound a c =>= c [] by prove_ax_transa
% 0.12/0.37 Statistics :
% 0.12/0.37 Max weight : 16
% 0.12/0.37 Found proof, 0.032934s
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.37 Id : 18, {_}: least_upper_bound b c =>= c [] by ax_transa_2
% 0.12/0.37 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 0.12/0.37 Id : 17, {_}: least_upper_bound a b =>= b [] by ax_transa_1
% 0.12/0.37 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
% 0.12/0.37 Id : 303, {_}: least_upper_bound a (least_upper_bound b ?804) =>= least_upper_bound b ?804 [804] by Super 8 with 17 at 1,3
% 0.12/0.37 Id : 368, {_}: least_upper_bound a (least_upper_bound ?874 b) =>= least_upper_bound b ?874 [874] by Super 303 with 6 at 2,2
% 0.12/0.37 Id : 283, {_}: least_upper_bound c b =>= c [] by Demod 18 with 6 at 2
% 0.12/0.37 Id : 372, {_}: least_upper_bound a c =<= least_upper_bound b c [] by Super 368 with 283 at 2,2
% 0.12/0.37 Id : 387, {_}: least_upper_bound a c =<= least_upper_bound c b [] by Demod 372 with 6 at 3
% 0.12/0.37 Id : 388, {_}: least_upper_bound a c =>= c [] by Demod 387 with 283 at 3
% 0.12/0.37 Id : 397, {_}: c === c [] by Demod 1 with 388 at 2
% 0.12/0.37 Id : 1, {_}: least_upper_bound a c =>= c [] by prove_ax_transa
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.37 15888: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.034567 using nrkbo
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