%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP149-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n019.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 10:29:12 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP149-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 23:46:24 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 31320: Facts:
% 0.14/0.34 31320: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.14/0.34 31320: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.14/0.34 31320: Id : 4, {_}:
% 0.14/0.34 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.14/0.34 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.14/0.34 31320: Id : 5, {_}:
% 0.14/0.34 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.14/0.34 [11, 10] by symmetry_of_glb ?10 ?11
% 0.14/0.34 31320: Id : 6, {_}:
% 0.14/0.34 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.14/0.34 [14, 13] by symmetry_of_lub ?13 ?14
% 0.14/0.34 31320: Id : 7, {_}:
% 0.14/0.34 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.14/0.34 =?=
% 0.14/0.34 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.14/0.34 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.14/0.34 31320: Id : 8, {_}:
% 0.14/0.34 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.14/0.34 =?=
% 0.14/0.34 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.14/0.34 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.14/0.34 31320: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.14/0.34 31320: Id : 10, {_}:
% 0.14/0.34 greatest_lower_bound ?26 ?26 =>= ?26
% 0.14/0.34 [26] by idempotence_of_gld ?26
% 0.14/0.34 31320: Id : 11, {_}:
% 0.14/0.34 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.14/0.34 [29, 28] by lub_absorbtion ?28 ?29
% 0.14/0.34 31320: Id : 12, {_}:
% 0.14/0.34 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.14/0.34 [32, 31] by glb_absorbtion ?31 ?32
% 0.14/0.34 31320: Id : 13, {_}:
% 0.14/0.34 multiply ?34 (least_upper_bound ?35 ?36)
% 0.14/0.34 =<=
% 0.14/0.34 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.14/0.34 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.14/0.34 31320: Id : 14, {_}:
% 0.14/0.34 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.14/0.34 =<=
% 0.14/0.34 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.14/0.34 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.14/0.34 31320: Id : 15, {_}:
% 0.14/0.34 multiply (least_upper_bound ?42 ?43) ?44
% 0.14/0.34 =<=
% 0.14/0.34 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.14/0.34 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.14/0.34 31320: Id : 16, {_}:
% 0.14/0.34 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.14/0.34 =<=
% 0.14/0.34 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.14/0.34 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.14/0.34 31320: Id : 17, {_}: greatest_lower_bound a c =>= a [] by ax_lub1d_1
% 0.14/0.34 31320: Id : 18, {_}: greatest_lower_bound b c =>= b [] by ax_lub1d_2
% 0.14/0.34 31320: Goal:
% 0.14/0.34 31320: Id : 1, {_}:
% 0.14/0.34 least_upper_bound (least_upper_bound a b) c =>= c
% 0.14/0.34 [] by prove_ax_lub1d
% 0.20/0.49 Statistics :
% 0.20/0.49 Max weight : 16
% 0.20/0.49 Found proof, 0.150568s
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.49 % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.49 Id : 17, {_}: greatest_lower_bound a c =>= a [] by ax_lub1d_1
% 0.20/0.49 Id : 18, {_}: greatest_lower_bound b c =>= b [] by ax_lub1d_2
% 0.20/0.49 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 0.20/0.49 Id : 89, {_}: least_upper_bound ?219 (greatest_lower_bound ?219 ?220) =>= ?219 [220, 219] by lub_absorbtion ?219 ?220
% 0.20/0.49 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
% 0.20/0.49 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 0.20/0.49 Id : 59, {_}: least_upper_bound ?145 (least_upper_bound ?146 ?147) =?= least_upper_bound ?146 (least_upper_bound ?147 ?145) [147, 146, 145] by Super 6 with 8 at 3
% 0.20/0.49 Id : 1426, {_}: least_upper_bound ?2214 (greatest_lower_bound ?2215 ?2214) =>= ?2214 [2215, 2214] by Super 89 with 5 at 2,2
% 0.20/0.49 Id : 1431, {_}: least_upper_bound c b =>= c [] by Super 1426 with 18 at 2,2
% 0.20/0.49 Id : 1468, {_}: least_upper_bound b c =>= c [] by Demod 1431 with 6 at 2
% 0.20/0.49 Id : 1430, {_}: least_upper_bound c a =>= c [] by Super 1426 with 17 at 2,2
% 0.20/0.49 Id : 1467, {_}: least_upper_bound a c =>= c [] by Demod 1430 with 6 at 2
% 0.20/0.49 Id : 1783, {_}: c =?= c [] by Demod 1782 with 1467 at 2
% 0.20/0.49 Id : 1782, {_}: least_upper_bound a c =>= c [] by Demod 1781 with 1468 at 2,2
% 0.20/0.49 Id : 1781, {_}: least_upper_bound a (least_upper_bound b c) =>= c [] by Demod 1780 with 59 at 2
% 0.20/0.49 Id : 1780, {_}: least_upper_bound c (least_upper_bound a b) =>= c [] by Demod 1 with 6 at 2
% 0.20/0.49 Id : 1, {_}: least_upper_bound (least_upper_bound a b) c =>= c [] by prove_ax_lub1d
% 0.20/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.49 31321: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.151698 using kbo
%------------------------------------------------------------------------------