TSTP Solution File: LAT006-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n008.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 : Sun Jul 17 05:55:33 EDT 2022
% Result : Unsatisfiable 6.72s 2.01s
% Output : CNFRefutation 6.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33 % Computer : n008.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 : Thu Jun 30 04:50:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 17394: Facts:
% 0.13/0.34 17394: Id : 2, {_}: meet ?2 (join ?2 ?3) =>= ?2 [3, 2] by absorption ?2 ?3
% 0.13/0.34 17394: Id : 3, {_}:
% 0.13/0.34 meet ?5 (join ?6 ?7) =<= join (meet ?7 ?5) (meet ?6 ?5)
% 0.13/0.34 [7, 6, 5] by distribution ?5 ?6 ?7
% 0.13/0.34 17394: Goal:
% 0.13/0.34 17394: Id : 1, {_}:
% 0.13/0.34 meet (meet a b) c =>= meet a (meet b c)
% 0.13/0.34 [] by prove_associativity_of_meet
% 6.72/2.01 Statistics :
% 6.72/2.01 Max weight : 22
% 6.72/2.01 Found proof, 1.672382s
% 6.72/2.01 % SZS status Unsatisfiable for theBenchmark.p
% 6.72/2.01 % SZS output start CNFRefutation for theBenchmark.p
% 6.72/2.01 Id : 2, {_}: meet ?2 (join ?2 ?3) =>= ?2 [3, 2] by absorption ?2 ?3
% 6.72/2.01 Id : 3, {_}: meet ?5 (join ?6 ?7) =<= join (meet ?7 ?5) (meet ?6 ?5) [7, 6, 5] by distribution ?5 ?6 ?7
% 6.72/2.01 Id : 6, {_}: meet (meet ?14 ?15) (meet ?15 (join ?16 ?14)) =>= meet ?14 ?15 [16, 15, 14] by Super 2 with 3 at 2,2
% 6.72/2.01 Id : 11, {_}: meet (meet ?34 (join ?35 ?36)) (join (meet ?36 ?34) ?37) =>= join (meet ?37 (meet ?34 (join ?35 ?36))) (meet ?36 ?34) [37, 36, 35, 34] by Super 3 with 6 at 2,3
% 6.72/2.01 Id : 13, {_}: meet (meet ?44 ?45) (meet ?45 (join ?46 ?44)) =>= meet ?44 ?45 [46, 45, 44] by Super 2 with 3 at 2,2
% 6.72/2.01 Id : 15, {_}: meet (meet ?53 ?54) ?54 =>= meet ?53 ?54 [54, 53] by Super 13 with 2 at 2,2
% 6.72/2.01 Id : 21, {_}: meet ?68 (join (meet ?69 ?68) ?70) =>= join (meet ?70 ?68) (meet ?69 ?68) [70, 69, 68] by Super 3 with 15 at 2,3
% 6.72/2.01 Id : 79, {_}: meet ?221 (join (meet ?222 ?221) ?223) =>= meet ?221 (join ?222 ?223) [223, 222, 221] by Demod 21 with 3 at 3
% 6.72/2.01 Id : 86, {_}: meet ?253 (meet ?253 (join ?254 ?255)) =>= meet ?253 (join ?255 (meet ?254 ?253)) [255, 254, 253] by Super 79 with 3 at 2,2
% 6.72/2.01 Id : 22, {_}: meet ?72 (join ?73 (meet ?74 ?72)) =>= join (meet ?74 ?72) (meet ?73 ?72) [74, 73, 72] by Super 3 with 15 at 1,3
% 6.72/2.01 Id : 33, {_}: meet ?72 (join ?73 (meet ?74 ?72)) =>= meet ?72 (join ?73 ?74) [74, 73, 72] by Demod 22 with 3 at 3
% 6.72/2.01 Id : 218, {_}: meet ?554 (meet ?554 (join ?555 ?556)) =>= meet ?554 (join ?556 ?555) [556, 555, 554] by Demod 86 with 33 at 3
% 6.72/2.01 Id : 220, {_}: meet ?563 ?563 =<= meet ?563 (join ?564 ?563) [564, 563] by Super 218 with 2 at 2,2
% 6.72/2.01 Id : 247, {_}: meet ?610 ?610 =>= ?610 [610] by Super 2 with 220 at 2
% 6.72/2.01 Id : 290, {_}: meet (meet ?690 (join ?691 ?690)) (join ?690 ?692) =<= join (meet ?692 (meet ?690 (join ?691 ?690))) (meet ?690 ?690) [692, 691, 690] by Super 11 with 247 at 1,2,2
% 6.72/2.01 Id : 280, {_}: ?563 =<= meet ?563 (join ?564 ?563) [564, 563] by Demod 220 with 247 at 2
% 6.72/2.01 Id : 301, {_}: meet ?690 (join ?690 ?692) =<= join (meet ?692 (meet ?690 (join ?691 ?690))) (meet ?690 ?690) [691, 692, 690] by Demod 290 with 280 at 1,2
% 6.72/2.01 Id : 302, {_}: meet ?690 (join ?690 ?692) =<= join (meet ?692 ?690) (meet ?690 ?690) [692, 690] by Demod 301 with 280 at 2,1,3
% 6.72/2.01 Id : 303, {_}: meet ?690 (join ?690 ?692) =>= join (meet ?692 ?690) ?690 [692, 690] by Demod 302 with 247 at 2,3
% 6.72/2.01 Id : 465, {_}: ?987 =<= join (meet ?988 ?987) ?987 [988, 987] by Demod 303 with 2 at 2
% 6.72/2.01 Id : 476, {_}: ?1030 =<= join ?1030 ?1030 [1030] by Super 465 with 247 at 1,3
% 6.72/2.01 Id : 504, {_}: meet ?1070 (join ?1071 ?1071) =>= meet ?1071 ?1070 [1071, 1070] by Super 3 with 476 at 3
% 6.72/2.01 Id : 519, {_}: meet ?1070 ?1071 =?= meet ?1071 ?1070 [1071, 1070] by Demod 504 with 476 at 2,2
% 6.72/2.01 Id : 210, {_}: meet ?253 (meet ?253 (join ?254 ?255)) =>= meet ?253 (join ?255 ?254) [255, 254, 253] by Demod 86 with 33 at 3
% 6.72/2.01 Id : 496, {_}: meet ?1045 (meet ?1045 ?1046) =?= meet ?1045 (join ?1046 ?1046) [1046, 1045] by Super 210 with 476 at 2,2,2
% 6.72/2.01 Id : 532, {_}: meet ?1045 (meet ?1045 ?1046) =>= meet ?1045 ?1046 [1046, 1045] by Demod 496 with 476 at 2,3
% 6.72/2.01 Id : 888, {_}: meet (meet ?1885 ?1886) (join ?1887 (meet ?1885 ?1886)) =>= meet (meet ?1885 ?1886) (join ?1887 ?1885) [1887, 1886, 1885] by Super 33 with 532 at 2,2,2
% 6.72/2.01 Id : 3624, {_}: meet ?7149 ?7150 =<= meet (meet ?7149 ?7150) (join ?7151 ?7149) [7151, 7150, 7149] by Demod 888 with 280 at 2
% 6.72/2.01 Id : 285, {_}: meet ?675 (join ?676 ?675) =>= join ?675 (meet ?676 ?675) [676, 675] by Super 3 with 247 at 1,3
% 6.72/2.01 Id : 317, {_}: ?675 =<= join ?675 (meet ?676 ?675) [676, 675] by Demod 285 with 280 at 2
% 6.72/2.01 Id : 3629, {_}: meet (meet ?7171 ?7172) ?7173 =<= meet (meet (meet ?7171 ?7172) ?7173) ?7172 [7173, 7172, 7171] by Super 3624 with 317 at 2,3
% 6.72/2.01 Id : 7093, {_}: meet (meet ?13877 ?13878) ?13879 =<= meet ?13878 (meet (meet ?13877 ?13878) ?13879) [13879, 13878, 13877] by Demod 3629 with 519 at 3
% 6.72/2.01 Id : 7105, {_}: meet (meet ?13933 ?13934) ?13935 =<= meet ?13934 (meet (meet ?13934 ?13933) ?13935) [13935, 13934, 13933] by Super 7093 with 519 at 1,2,3
% 6.72/2.01 Id : 507, {_}: meet ?1079 (meet ?1080 ?1079) =<= meet ?1079 (join (meet ?1080 ?1079) ?1080) [1080, 1079] by Super 33 with 476 at 2,2
% 6.72/2.01 Id : 32, {_}: meet ?68 (join (meet ?69 ?68) ?70) =>= meet ?68 (join ?69 ?70) [70, 69, 68] by Demod 21 with 3 at 3
% 6.72/2.01 Id : 513, {_}: meet ?1079 (meet ?1080 ?1079) =?= meet ?1079 (join ?1080 ?1080) [1080, 1079] by Demod 507 with 32 at 3
% 6.72/2.01 Id : 514, {_}: meet ?1079 (meet ?1080 ?1079) =>= meet ?1079 ?1080 [1080, 1079] by Demod 513 with 476 at 2,3
% 6.72/2.01 Id : 894, {_}: meet (meet ?1909 ?1910) (meet ?1909 ?1910) =>= meet (meet ?1909 ?1910) ?1909 [1910, 1909] by Super 514 with 532 at 2,2
% 6.72/2.01 Id : 916, {_}: meet ?1909 ?1910 =<= meet (meet ?1909 ?1910) ?1909 [1910, 1909] by Demod 894 with 247 at 2
% 6.72/2.01 Id : 1327, {_}: ?2691 =<= join ?2691 (meet ?2691 ?2692) [2692, 2691] by Super 317 with 916 at 2,3
% 6.72/2.01 Id : 3634, {_}: meet (meet ?7190 ?7191) ?7192 =<= meet (meet (meet ?7190 ?7191) ?7192) ?7190 [7192, 7191, 7190] by Super 3624 with 1327 at 2,3
% 6.72/2.01 Id : 3725, {_}: meet (meet ?7190 ?7191) ?7192 =<= meet ?7190 (meet (meet ?7190 ?7191) ?7192) [7192, 7191, 7190] by Demod 3634 with 519 at 3
% 6.72/2.01 Id : 13785, {_}: meet (meet ?13933 ?13934) ?13935 =?= meet (meet ?13934 ?13933) ?13935 [13935, 13934, 13933] by Demod 7105 with 3725 at 3
% 6.72/2.01 Id : 6876, {_}: meet ?13431 ?13432 =<= meet (meet ?13432 ?13431) (join ?13433 ?13431) [13433, 13432, 13431] by Super 3624 with 519 at 1,3
% 6.72/2.01 Id : 6887, {_}: meet (meet ?13478 ?13479) ?13480 =<= meet (meet ?13480 (meet ?13478 ?13479)) ?13478 [13480, 13479, 13478] by Super 6876 with 1327 at 2,3
% 6.72/2.01 Id : 6998, {_}: meet (meet ?13478 ?13479) ?13480 =<= meet ?13478 (meet ?13480 (meet ?13478 ?13479)) [13480, 13479, 13478] by Demod 6887 with 519 at 3
% 6.72/2.01 Id : 1332, {_}: meet ?2706 (join (meet ?2706 ?2707) ?2708) =>= join (meet ?2708 ?2706) (meet ?2706 ?2707) [2708, 2707, 2706] by Super 3 with 916 at 2,3
% 6.72/2.01 Id : 1919, {_}: meet ?3941 (join (meet ?3941 ?3942) ?3943) =>= meet ?3941 (join ?3942 ?3943) [3943, 3942, 3941] by Super 32 with 519 at 1,2,2
% 6.72/2.01 Id : 4967, {_}: join (meet ?3943 ?3941) (meet ?3941 ?3942) =>= meet ?3941 (join ?3942 ?3943) [3942, 3941, 3943] by Demod 1919 with 1332 at 2
% 6.72/2.01 Id : 4969, {_}: meet ?2706 (join (meet ?2706 ?2707) ?2708) =>= meet ?2706 (join ?2707 ?2708) [2708, 2707, 2706] by Demod 1332 with 4967 at 3
% 6.72/2.01 Id : 4971, {_}: meet ?9308 (meet ?9309 (join ?9310 ?9308)) =?= meet ?9308 (join ?9309 (meet ?9309 ?9310)) [9310, 9309, 9308] by Super 4969 with 4967 at 2,2
% 6.72/2.01 Id : 9886, {_}: meet ?19339 (meet ?19340 (join ?19341 ?19339)) =>= meet ?19339 ?19340 [19341, 19340, 19339] by Demod 4971 with 1327 at 2,3
% 6.72/2.01 Id : 9894, {_}: meet (meet ?19376 ?19377) (meet ?19378 ?19377) =>= meet (meet ?19376 ?19377) ?19378 [19378, 19377, 19376] by Super 9886 with 317 at 2,2,2
% 6.72/2.01 Id : 16314, {_}: meet (meet ?34867 ?34868) (meet ?34869 ?34868) =?= meet ?34867 (meet (meet ?34869 ?34868) ?34867) [34869, 34868, 34867] by Super 6998 with 9894 at 2,3
% 6.72/2.01 Id : 16435, {_}: meet (meet ?34867 ?34868) ?34869 =<= meet ?34867 (meet (meet ?34869 ?34868) ?34867) [34869, 34868, 34867] by Demod 16314 with 9894 at 2
% 6.72/2.01 Id : 16436, {_}: meet (meet ?34867 ?34868) ?34869 =>= meet ?34867 (meet ?34869 ?34868) [34869, 34868, 34867] by Demod 16435 with 514 at 3
% 6.72/2.01 Id : 16669, {_}: meet ?13933 (meet ?13935 ?13934) =<= meet (meet ?13934 ?13933) ?13935 [13934, 13935, 13933] by Demod 13785 with 16436 at 2
% 6.72/2.01 Id : 16670, {_}: meet ?13933 (meet ?13935 ?13934) =?= meet ?13934 (meet ?13935 ?13933) [13934, 13935, 13933] by Demod 16669 with 16436 at 3
% 6.72/2.01 Id : 6883, {_}: meet (meet ?13463 ?13464) ?13465 =<= meet (meet ?13465 (meet ?13463 ?13464)) ?13464 [13465, 13464, 13463] by Super 6876 with 317 at 2,3
% 6.72/2.01 Id : 6991, {_}: meet (meet ?13463 ?13464) ?13465 =<= meet ?13464 (meet ?13465 (meet ?13463 ?13464)) [13465, 13464, 13463] by Demod 6883 with 519 at 3
% 6.72/2.01 Id : 16643, {_}: meet ?13463 (meet ?13465 ?13464) =<= meet ?13464 (meet ?13465 (meet ?13463 ?13464)) [13464, 13465, 13463] by Demod 6991 with 16436 at 2
% 6.72/2.01 Id : 3717, {_}: meet (meet ?7171 ?7172) ?7173 =<= meet ?7172 (meet (meet ?7171 ?7172) ?7173) [7173, 7172, 7171] by Demod 3629 with 519 at 3
% 6.72/2.01 Id : 16646, {_}: meet ?7171 (meet ?7173 ?7172) =<= meet ?7172 (meet (meet ?7171 ?7172) ?7173) [7172, 7173, 7171] by Demod 3717 with 16436 at 2
% 6.72/2.01 Id : 16647, {_}: meet ?7171 (meet ?7173 ?7172) =<= meet ?7172 (meet ?7171 (meet ?7173 ?7172)) [7172, 7173, 7171] by Demod 16646 with 16436 at 2,3
% 6.72/2.01 Id : 16688, {_}: meet ?13463 (meet ?13465 ?13464) =?= meet ?13465 (meet ?13463 ?13464) [13464, 13465, 13463] by Demod 16643 with 16647 at 3
% 6.72/2.01 Id : 17052, {_}: meet a (meet b c) =?= meet a (meet b c) [] by Demod 17051 with 16688 at 2
% 6.72/2.01 Id : 17051, {_}: meet b (meet a c) =>= meet a (meet b c) [] by Demod 17050 with 16670 at 2
% 6.72/2.01 Id : 17050, {_}: meet c (meet a b) =>= meet a (meet b c) [] by Demod 1 with 519 at 2
% 6.72/2.01 Id : 1, {_}: meet (meet a b) c =>= meet a (meet b c) [] by prove_associativity_of_meet
% 6.72/2.01 % SZS output end CNFRefutation for theBenchmark.p
% 6.72/2.01 17395: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 1.655053 using kbo
%------------------------------------------------------------------------------