TSTP Solution File: GEO112+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO112+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n024.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 : 300s
% DateTime : Fri May 19 11:11:57 EDT 2023
% Result : Theorem 0.36s 1.40s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO112+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : nanocop.sh %s %d
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 19 04:09:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.36/1.40
% 0.36/1.40 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.36/1.40 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.40 %-----------------------------------------------------
% 0.36/1.40 ncf(matrix, plain, [(526 ^ _69042) ^ [] : [-(between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ []))], (528 ^ _69042) ^ [] : [between_c(521 ^ [], 524 ^ [], 523 ^ [], 522 ^ [])], (136 ^ _69042) ^ [_73583, _73585, _73587, _73589] : [-(sum(_73589, _73585) = sum(_73587, _73583)), _73589 = _73587, _73585 = _73583], (2 ^ _69042) ^ [_69186] : [-(_69186 = _69186)], (4 ^ _69042) ^ [_69293, _69295] : [_69295 = _69293, -(_69293 = _69295)], (10 ^ _69042) ^ [_69497, _69499, _69501] : [-(_69501 = _69497), _69501 = _69499, _69499 = _69497], (20 ^ _69042) ^ [_69810, _69812] : [-(open(_69810)), _69812 = _69810, open(_69812)], (30 ^ _69042) ^ [_70105, _70107] : [-(closed(_70105)), _70107 = _70105, closed(_70107)], (40 ^ _69042) ^ [_70456, _70458, _70460, _70462, _70464, _70466] : [-(meet(_70464, _70460, _70456)), meet(_70466, _70462, _70458), _70466 = _70464, _70462 = _70460, _70458 = _70456], (58 ^ _69042) ^ [_71037, _71039, _71041, _71043] : [-(incident_c(_71041, _71037)), incident_c(_71043, _71039), _71043 = _71041, _71039 = _71037], (72 ^ _69042) ^ [_71481, _71483, _71485, _71487] : [-(part_of(_71485, _71481)), part_of(_71487, _71483), _71487 = _71485, _71483 = _71481], (86 ^ _69042) ^ [_71925, _71927, _71929, _71931] : [-(end_point(_71929, _71925)), end_point(_71931, _71927), _71931 = _71929, _71927 = _71925], (100 ^ _69042) ^ [_72369, _72371, _72373, _72375] : [-(inner_point(_72373, _72369)), inner_point(_72375, _72371), _72375 = _72373, _72371 = _72369], (114 ^ _69042) ^ [_72849, _72851, _72853, _72855, _72857, _72859, _72861, _72863] : [-(between_c(_72861, _72857, _72853, _72849)), between_c(_72863, _72859, _72855, _72851), _72863 = _72861, _72859 = _72857, _72855 = _72853, _72851 = _72849], (485 ^ _69042) ^ [_85614, _85616, _85618, _85620] : [between_c(_85620, _85618, _85616, _85614), 488 ^ _69042 : [(489 ^ _69042) ^ [] : [_85618 = _85614], (492 ^ _69042) ^ [] : [-(part_of(490 ^ [_85614, _85616, _85618, _85620], _85620))], (494 ^ _69042) ^ [] : [-(end_point(_85618, 490 ^ [_85614, _85616, _85618, _85620]))], (496 ^ _69042) ^ [] : [-(end_point(_85614, 490 ^ [_85614, _85616, _85618, _85620]))], (498 ^ _69042) ^ [] : [-(inner_point(_85616, 490 ^ [_85614, _85616, _85618, _85620]))]]], (500 ^ _69042) ^ [_86226, _86228, _86230, _86232] : [-(between_c(_86232, _86230, _86228, _86226)), -(_86230 = _86226), 505 ^ _69042 : [(506 ^ _69042) ^ [_86432] : [part_of(_86432, _86232), end_point(_86230, _86432), end_point(_86226, _86432), inner_point(_86228, _86432)]]], (156 ^ _69042) ^ [_74279, _74281] : [158 ^ _69042 : [(159 ^ _69042) ^ [] : [-(incident_c(157 ^ [_74279, _74281], _74279))], (161 ^ _69042) ^ [] : [incident_c(157 ^ [_74279, _74281], _74281)]], -(part_of(_74279, _74281))], (146 ^ _69042) ^ [_73965, _73967] : [part_of(_73965, _73967), 149 ^ _69042 : [(150 ^ _69042) ^ [_74102] : [incident_c(_74102, _73965), -(incident_c(_74102, _73967))]]], (187 ^ _69042) ^ [_75404, _75406, _75408] : [-(_75408 = sum(_75406, _75404)), 191 ^ _69042 : [(192 ^ _69042) ^ [] : [-(incident_c(188 ^ [_75404, _75406, _75408], _75408))], (194 ^ _69042) ^ [] : [incident_c(188 ^ [_75404, _75406, _75408], _75406)], (196 ^ _69042) ^ [] : [incident_c(188 ^ [_75404, _75406, _75408], _75404)]], 197 ^ _69042 : [(204 ^ _69042) ^ [] : [incident_c(188 ^ [_75404, _75406, _75408], _75408)], (198 ^ _69042) ^ [] : [-(incident_c(188 ^ [_75404, _75406, _75408], _75406)), -(incident_c(188 ^ [_75404, _75406, _75408], _75404))]]], (165 ^ _69042) ^ [_74679, _74681, _74683] : [_74683 = sum(_74681, _74679), 168 ^ _69042 : [(179 ^ _69042) ^ [_75139] : [180 ^ _69042 : [(181 ^ _69042) ^ [] : [incident_c(_75139, _74681)], (183 ^ _69042) ^ [] : [incident_c(_75139, _74679)]], -(incident_c(_75139, _74683))], (169 ^ _69042) ^ [_74861] : [incident_c(_74861, _74683), -(incident_c(_74861, _74681)), -(incident_c(_74861, _74679))]]], (236 ^ _69042) ^ [_77012, _77014] : [-(end_point(_77014, _77012)), incident_c(_77014, _77012), 243 ^ _69042 : [(244 ^ _69042) ^ [] : [-(part_of(241 ^ [_77012, _77014], _77012))], (246 ^ _69042) ^ [] : [-(part_of(242 ^ [_77012, _77014], _77012))], (248 ^ _69042) ^ [] : [-(incident_c(_77014, 241 ^ [_77012, _77014]))], (250 ^ _69042) ^ [] : [-(incident_c(_77014, 242 ^ [_77012, _77014]))], (252 ^ _69042) ^ [] : [part_of(241 ^ [_77012, _77014], 242 ^ [_77012, _77014])], (254 ^ _69042) ^ [] : [part_of(242 ^ [_77012, _77014], 241 ^ [_77012, _77014])]]], (208 ^ _69042) ^ [_76184, _76186] : [end_point(_76186, _76184), 211 ^ _69042 : [(212 ^ _69042) ^ [] : [-(incident_c(_76186, _76184))], (214 ^ _69042) ^ [_76436, _76438] : [-(part_of(_76438, _76436)), -(part_of(_76436, _76438)), part_of(_76438, _76184), part_of(_76436, _76184), incident_c(_76186, _76438), incident_c(_76186, _76436)]]], (258 ^ _69042) ^ [_77967, _77969] : [inner_point(_77969, _77967), 261 ^ _69042 : [(262 ^ _69042) ^ [] : [-(incident_c(_77969, _77967))], (264 ^ _69042) ^ [] : [end_point(_77969, _77967)]]], (266 ^ _69042) ^ [_78205, _78207] : [-(inner_point(_78207, _78205)), incident_c(_78207, _78205), -(end_point(_78207, _78205))], (276 ^ _69042) ^ [_78552, _78554, _78556] : [meet(_78556, _78554, _78552), 279 ^ _69042 : [(280 ^ _69042) ^ [] : [-(incident_c(_78556, _78554))], (282 ^ _69042) ^ [] : [-(incident_c(_78556, _78552))], (284 ^ _69042) ^ [_78855] : [291 ^ _69042 : [(292 ^ _69042) ^ [] : [-(end_point(_78855, _78554))], (294 ^ _69042) ^ [] : [-(end_point(_78855, _78552))]], incident_c(_78855, _78554), incident_c(_78855, _78552)]]], (296 ^ _69042) ^ [_79220, _79222, _79224] : [-(meet(_79224, _79222, _79220)), incident_c(_79224, _79222), incident_c(_79224, _79220), 306 ^ _69042 : [(307 ^ _69042) ^ [] : [-(incident_c(305 ^ [_79220, _79222, _79224], _79222))], (309 ^ _69042) ^ [] : [-(incident_c(305 ^ [_79220, _79222, _79224], _79220))], (311 ^ _69042) ^ [] : [end_point(305 ^ [_79220, _79222, _79224], _79222), end_point(305 ^ [_79220, _79222, _79224], _79220)]]], (319 ^ _69042) ^ [_79997] : [closed(_79997), 322 ^ _69042 : [(323 ^ _69042) ^ [_80108] : [end_point(_80108, _79997)]]], (325 ^ _69042) ^ [_80174] : [-(end_point(326 ^ [_80174], _80174)), -(closed(_80174))], (332 ^ _69042) ^ [_80447] : [open(_80447), -(end_point(335 ^ [_80447], _80447))], (339 ^ _69042) ^ [_80652] : [340 ^ _69042 : [(341 ^ _69042) ^ [_80719] : [end_point(_80719, _80652)]], -(open(_80652))], (345 ^ _69042) ^ [_80878, _80880] : [-(open(_80878)), part_of(_80878, _80880), -(_80878 = _80880)], (355 ^ _69042) ^ [_81206, _81208, _81210, _81212] : [part_of(_81210, _81212), part_of(_81208, _81212), part_of(_81206, _81212), 368 ^ _69042 : [(369 ^ _69042) ^ [_81617] : [end_point(_81617, _81210), end_point(_81617, _81208), end_point(_81617, _81206)]], -(part_of(_81208, _81206)), -(part_of(_81206, _81208)), -(part_of(_81210, _81208)), -(part_of(_81208, _81210)), -(part_of(_81210, _81206)), -(part_of(_81206, _81210))], (402 ^ _69042) ^ [_82496] : [-(inner_point(400 ^ [_82496], _82496))], (404 ^ _69042) ^ [_82608, _82610] : [inner_point(_82608, _82610), 409 ^ _69042 : [(410 ^ _69042) ^ [] : [-(meet(_82608, 407 ^ [_82608, _82610], 408 ^ [_82608, _82610]))], (412 ^ _69042) ^ [] : [-(_82610 = sum(407 ^ [_82608, _82610], 408 ^ [_82608, _82610]))]]], (414 ^ _69042) ^ [_83096, _83098, _83100, _83102] : [end_point(_83100, _83102), end_point(_83098, _83102), end_point(_83096, _83102), -(_83100 = _83098), -(_83100 = _83096), -(_83098 = _83096)], (436 ^ _69042) ^ [_83712, _83714] : [end_point(_83712, _83714), 440 ^ _69042 : [(441 ^ _69042) ^ [] : [-(end_point(439 ^ [_83712, _83714], _83714))], (443 ^ _69042) ^ [] : [_83712 = 439 ^ [_83712, _83714]]]], (445 ^ _69042) ^ [_84098, _84100, _84102, _84104] : [456 ^ _69042 : [(457 ^ _69042) ^ [_84444] : [end_point(_84444, _84102), -(meet(_84444, _84102, _84100))]], closed(_84104), meet(_84098, _84102, _84100), _84104 = sum(_84102, _84100)], (463 ^ _69042) ^ [_84687, _84689] : [464 ^ _69042 : [(465 ^ _69042) ^ [_84766] : [meet(_84766, _84689, _84687)]], -(466 ^ [_84687, _84689] = sum(_84689, _84687))], (470 ^ _69042) ^ [_84967, _84969] : [-(_84969 = _84967), 474 ^ _69042 : [(475 ^ _69042) ^ [] : [-(incident_c(471 ^ [_84967, _84969], _84969))], (477 ^ _69042) ^ [] : [incident_c(471 ^ [_84967, _84969], _84967)]], 478 ^ _69042 : [(479 ^ _69042) ^ [] : [-(incident_c(471 ^ [_84967, _84969], _84967))], (481 ^ _69042) ^ [] : [incident_c(471 ^ [_84967, _84969], _84969)]]]], input).
% 0.36/1.40 ncf('1',plain,[between_c(521 ^ [], 524 ^ [], 523 ^ [], 522 ^ [])],start(528 ^ 0)).
% 0.36/1.40 ncf('1.1',plain,[-(between_c(521 ^ [], 524 ^ [], 523 ^ [], 522 ^ [])), -(524 ^ [] = 522 ^ []), 506 : part_of(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ []), 506 : end_point(524 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]), 506 : end_point(522 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]), 506 : inner_point(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(500 ^ 1,bind([[_86226, _86228, _86230, _86232, _86432], [522 ^ [], 523 ^ [], 524 ^ [], 521 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.36/1.40 ncf('1.1.1',plain,[524 ^ [] = 522 ^ [], -(522 ^ [] = 524 ^ [])],extension(4 ^ 2,bind([[_69293, _69295], [522 ^ [], 524 ^ []]]))).
% 0.36/1.40 ncf('1.1.1.1',plain,[522 ^ [] = 524 ^ [], between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ [])],extension(485 ^ 3,bind([[_85614, _85616, _85618, _85620], [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]))).
% 0.36/1.40 ncf('1.1.1.1.1',plain,[-(between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ []))],extension(526 ^ 4)).
% 0.36/1.40 ncf('1.1.2',plain,[-(part_of(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ [])), part_of(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ []), 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ [] = 521 ^ []],extension(72 ^ 4,bind([[_71481, _71483, _71485, _71487], [521 ^ [], 521 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.36/1.40 ncf('1.1.2.1',plain,[-(part_of(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ [])), between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ [])],extension(485 ^ 5,bind([[_85614, _85616, _85618, _85620], [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]))).
% 0.36/1.40 ncf('1.1.2.1.1',plain,[-(between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ []))],extension(526 ^ 6)).
% 0.36/1.40 ncf('1.1.2.2',plain,[-(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(2 ^ 5,bind([[_69186], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.36/1.40 ncf('1.1.2.3',plain,[-(521 ^ [] = 521 ^ [])],extension(2 ^ 5,bind([[_69186], [521 ^ []]]))).
% 0.36/1.40 ncf('1.1.3',plain,[-(end_point(524 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])), between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ [])],extension(485 ^ 4,bind([[_85614, _85616, _85618, _85620], [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]))).
% 0.36/1.40 ncf('1.1.3.1',plain,[-(between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ []))],extension(526 ^ 5)).
% 0.36/1.40 ncf('1.1.4',plain,[-(end_point(522 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])), end_point(522 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]), 522 ^ [] = 522 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]],extension(86 ^ 4,bind([[_71925, _71927, _71929, _71931], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 522 ^ [], 522 ^ []]]))).
% 0.36/1.40 ncf('1.1.4.1',plain,[-(end_point(522 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])), between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ [])],extension(485 ^ 5,bind([[_85614, _85616, _85618, _85620], [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]))).
% 0.36/1.40 ncf('1.1.4.1.1',plain,[-(between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ []))],extension(526 ^ 6)).
% 0.36/1.40 ncf('1.1.4.2',plain,[-(522 ^ [] = 522 ^ [])],extension(2 ^ 5,bind([[_69186], [522 ^ []]]))).
% 0.36/1.40 ncf('1.1.4.3',plain,[-(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(2 ^ 5,bind([[_69186], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.36/1.40 ncf('1.1.5',plain,[-(inner_point(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])), inner_point(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]), 523 ^ [] = 523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]],extension(100 ^ 4,bind([[_72369, _72371, _72373, _72375], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 523 ^ [], 523 ^ []]]))).
% 0.36/1.40 ncf('1.1.5.1',plain,[-(inner_point(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])), between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ [])],extension(485 ^ 5,bind([[_85614, _85616, _85618, _85620], [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]))).
% 0.36/1.40 ncf('1.1.5.1.1',plain,[-(between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ []))],extension(526 ^ 6)).
% 0.36/1.40 ncf('1.1.5.2',plain,[-(523 ^ [] = 523 ^ [])],extension(2 ^ 5,bind([[_69186], [523 ^ []]]))).
% 0.36/1.40 ncf('1.1.5.3',plain,[-(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(2 ^ 5,bind([[_69186], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.36/1.40 %-----------------------------------------------------
% 0.36/1.40 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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