TSTP Solution File: GEO087+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n031.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 11:11:54 EDT 2023
% Result : Theorem 43.42s 42.72s
% Output : Proof 43.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n031.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 : 300
% 0.13/0.33 % DateTime : Fri May 19 04:21:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 43.42/42.72
% 43.42/42.72 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.42/42.72 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.42/42.72 %-----------------------------------------------------
% 43.42/42.72 ncf(matrix, plain, [(468 ^ _81198) ^ [] : [-(meet(466 ^ [], 462 ^ [], 463 ^ []))], (465 ^ _81198) ^ [] : [-(part_of(462 ^ [], 463 ^ []))], !, (10 ^ _65455) ^ [_65890, _65892, _65894] : [-(_65894 = _65890), _65894 = _65892, _65892 = _65890], (186 ^ _65455) ^ [_71765, _71767] : [end_point(_71767, _71765), 189 ^ _65455 : [(192 ^ _65455) ^ [_72017, _72019] : [-(part_of(_72019, _72017)), -(part_of(_72017, _72019)), part_of(_72019, _71765), part_of(_72017, _71765), incident_c(_71767, _72019), incident_c(_71767, _72017)], (190 ^ _65455) ^ [] : [-(incident_c(_71767, _71765))]]], (214 ^ _65455) ^ [_72593, _72595] : [-(end_point(_72595, _72593)), incident_c(_72595, _72593), 221 ^ _65455 : [(224 ^ _65455) ^ [] : [-(part_of(220 ^ [_72593, _72595], _72593))], (222 ^ _65455) ^ [] : [-(part_of(219 ^ [_72593, _72595], _72593))], (232 ^ _65455) ^ [] : [part_of(220 ^ [_72593, _72595], 219 ^ [_72593, _72595])], (228 ^ _65455) ^ [] : [-(incident_c(_72595, 220 ^ [_72593, _72595]))], (230 ^ _65455) ^ [] : [part_of(219 ^ [_72593, _72595], 220 ^ [_72593, _72595])], (226 ^ _65455) ^ [] : [-(incident_c(_72595, 219 ^ [_72593, _72595]))]]], (310 ^ _65455) ^ [_76028] : [open(_76028), -(end_point(313 ^ [_76028], _76028))], (254 ^ _65455) ^ [_74133, _74135, _74137] : [meet(_74137, _74135, _74133), 257 ^ _65455 : [(262 ^ _65455) ^ [_74436] : [269 ^ _65455 : [(272 ^ _65455) ^ [] : [-(end_point(_74436, _74133))], (270 ^ _65455) ^ [] : [-(end_point(_74436, _74135))]], incident_c(_74436, _74135), incident_c(_74436, _74133)], (260 ^ _65455) ^ [] : [-(incident_c(_74137, _74133))], (258 ^ _65455) ^ [] : [-(incident_c(_74137, _74135))]]], (244 ^ _65455) ^ [_73786, _73788] : [-(inner_point(_73788, _73786)), incident_c(_73788, _73786), -(end_point(_73788, _73786))], (323 ^ _65455) ^ [_76459, _76461] : [-(open(_76459)), part_of(_76459, _76461), -(_76459 = _76461)], (382 ^ _65455) ^ [_78189, _78191] : [inner_point(_78189, _78191), 387 ^ _65455 : [(390 ^ _65455) ^ [] : [-(_78191 = sum(385 ^ [_78189, _78191], 386 ^ [_78189, _78191]))], (388 ^ _65455) ^ [] : [-(meet(_78189, 385 ^ [_78189, _78191], 386 ^ [_78189, _78191]))]]], (143 ^ _65455) ^ [_70260, _70262, _70264] : [_70264 = sum(_70262, _70260), 146 ^ _65455 : [(147 ^ _65455) ^ [_70442] : [incident_c(_70442, _70264), -(incident_c(_70442, _70262)), -(incident_c(_70442, _70260))], (157 ^ _65455) ^ [_70720] : [158 ^ _65455 : [(161 ^ _65455) ^ [] : [incident_c(_70720, _70260)], (159 ^ _65455) ^ [] : [incident_c(_70720, _70262)]], -(incident_c(_70720, _70264))]]], (134 ^ _65455) ^ [_69860, _69862] : [136 ^ _65455 : [(139 ^ _65455) ^ [] : [incident_c(135 ^ [_69860, _69862], _69862)], (137 ^ _65455) ^ [] : [-(incident_c(135 ^ [_69860, _69862], _69860))]], -(part_of(_69860, _69862))], (114 ^ _65455) ^ [_69184, _69186, _69188, _69190] : [-(sum(_69190, _69186) = sum(_69188, _69184)), _69190 = _69188, _69186 = _69184], (4 ^ _65455) ^ [_65686, _65688] : [_65688 = _65686, -(_65686 = _65688)], (20 ^ _65455) ^ [_66203, _66205] : [-(open(_66203)), _66205 = _66203, open(_66205)], (441 ^ _65455) ^ [_80268, _80270] : [442 ^ _65455 : [(443 ^ _65455) ^ [_80347] : [meet(_80347, _80270, _80268)]], -(444 ^ [_80268, _80270] = sum(_80270, _80268))], (274 ^ _65455) ^ [_74801, _74803, _74805] : [-(meet(_74805, _74803, _74801)), incident_c(_74805, _74803), incident_c(_74805, _74801), 284 ^ _65455 : [(289 ^ _65455) ^ [] : [end_point(283 ^ [_74801, _74803, _74805], _74803), end_point(283 ^ [_74801, _74803, _74805], _74801)], (287 ^ _65455) ^ [] : [-(incident_c(283 ^ [_74801, _74803, _74805], _74801))], (285 ^ _65455) ^ [] : [-(incident_c(283 ^ [_74801, _74803, _74805], _74803))]]], (30 ^ _65455) ^ [_66526, _66528, _66530, _66532] : [-(inner_point(_66530, _66526)), inner_point(_66532, _66528), _66532 = _66530, _66528 = _66526], (333 ^ _65455) ^ [_76787, _76789, _76791, _76793] : [part_of(_76791, _76793), part_of(_76789, _76793), part_of(_76787, _76793), 346 ^ _65455 : [(347 ^ _65455) ^ [_77198] : [end_point(_77198, _76791), end_point(_77198, _76789), end_point(_77198, _76787)]], -(part_of(_76789, _76787)), -(part_of(_76787, _76789)), -(part_of(_76791, _76789)), -(part_of(_76789, _76791)), -(part_of(_76791, _76787)), -(part_of(_76787, _76791))], (380 ^ _65455) ^ [_78077] : [-(inner_point(378 ^ [_78077], _78077))], (423 ^ _65455) ^ [_79679, _79681, _79683, _79685] : [434 ^ _65455 : [(435 ^ _65455) ^ [_80025] : [end_point(_80025, _79683), -(meet(_80025, _79683, _79681))]], closed(_79685), meet(_79679, _79683, _79681), _79685 = sum(_79683, _79681)], (44 ^ _65455) ^ [_66942, _66944] : [-(closed(_66942)), _66944 = _66942, closed(_66944)], (82 ^ _65455) ^ [_68153, _68155, _68157, _68159] : [-(part_of(_68157, _68153)), part_of(_68159, _68155), _68159 = _68157, _68155 = _68153], (165 ^ _65455) ^ [_70985, _70987, _70989] : [-(_70989 = sum(_70987, _70985)), 169 ^ _65455 : [(174 ^ _65455) ^ [] : [incident_c(166 ^ [_70985, _70987, _70989], _70985)], (172 ^ _65455) ^ [] : [incident_c(166 ^ [_70985, _70987, _70989], _70987)], (170 ^ _65455) ^ [] : [-(incident_c(166 ^ [_70985, _70987, _70989], _70989))]], 175 ^ _65455 : [(176 ^ _65455) ^ [] : [-(incident_c(166 ^ [_70985, _70987, _70989], _70987)), -(incident_c(166 ^ [_70985, _70987, _70989], _70985))], (182 ^ _65455) ^ [] : [incident_c(166 ^ [_70985, _70987, _70989], _70989)]]], (317 ^ _65455) ^ [_76233] : [318 ^ _65455 : [(319 ^ _65455) ^ [_76300] : [end_point(_76300, _76233)]], -(open(_76233))], (448 ^ _65455) ^ [_80548, _80550] : [-(_80550 = _80548), 452 ^ _65455 : [(455 ^ _65455) ^ [] : [incident_c(449 ^ [_80548, _80550], _80548)], (453 ^ _65455) ^ [] : [-(incident_c(449 ^ [_80548, _80550], _80550))]], 456 ^ _65455 : [(459 ^ _65455) ^ [] : [incident_c(449 ^ [_80548, _80550], _80550)], (457 ^ _65455) ^ [] : [-(incident_c(449 ^ [_80548, _80550], _80548))]]], (303 ^ _65455) ^ [_75755] : [-(end_point(304 ^ [_75755], _75755)), -(closed(_75755))], (297 ^ _65455) ^ [_75578] : [closed(_75578), 300 ^ _65455 : [(301 ^ _65455) ^ [_75689] : [end_point(_75689, _75578)]]], (392 ^ _65455) ^ [_78677, _78679, _78681, _78683] : [end_point(_78681, _78683), end_point(_78679, _78683), end_point(_78677, _78683), -(_78681 = _78679), -(_78681 = _78677), -(_78679 = _78677)], (68 ^ _65455) ^ [_67709, _67711, _67713, _67715] : [-(incident_c(_67713, _67709)), incident_c(_67715, _67711), _67715 = _67713, _67711 = _67709], (96 ^ _65455) ^ [_68605, _68607, _68609, _68611, _68613, _68615] : [-(meet(_68613, _68609, _68605)), meet(_68615, _68611, _68607), _68615 = _68613, _68611 = _68609, _68607 = _68605], (124 ^ _65455) ^ [_69546, _69548] : [part_of(_69546, _69548), 127 ^ _65455 : [(128 ^ _65455) ^ [_69683] : [incident_c(_69683, _69546), -(incident_c(_69683, _69548))]]], (2 ^ _65455) ^ [_65579] : [-(_65579 = _65579)], (236 ^ _65455) ^ [_73548, _73550] : [inner_point(_73550, _73548), 239 ^ _65455 : [(242 ^ _65455) ^ [] : [end_point(_73550, _73548)], (240 ^ _65455) ^ [] : [-(incident_c(_73550, _73548))]]], (54 ^ _65455) ^ [_67265, _67267, _67269, _67271] : [-(end_point(_67269, _67265)), end_point(_67271, _67267), _67271 = _67269, _67267 = _67265], (414 ^ _65455) ^ [_79293, _79295] : [end_point(_79293, _79295), 418 ^ _65455 : [(421 ^ _65455) ^ [] : [_79293 = 417 ^ [_79293, _79295]], (419 ^ _65455) ^ [] : [-(end_point(417 ^ [_79293, _79295], _79295))]]]], input).
% 43.42/42.72 ncf('1',plain,[-(meet(466 ^ [], 462 ^ [], 463 ^ []))],start(468 ^ 0)).
% 43.42/42.72 ncf('1.1',plain,[meet(466 ^ [], 462 ^ [], 463 ^ []), 270 : -(end_point(378 ^ [462 ^ []], 462 ^ [])), 270 : incident_c(378 ^ [462 ^ []], 462 ^ []), 270 : incident_c(378 ^ [462 ^ []], 463 ^ [])],extension(254 ^ 1,bind([[_74133, _74135, _74137, _74436], [463 ^ [], 462 ^ [], 466 ^ [], 378 ^ [462 ^ []]]]))).
% 43.42/42.72 ncf('1.1.1',plain,[end_point(378 ^ [462 ^ []], 462 ^ []), end_point(378 ^ [462 ^ []], 462 ^ []), end_point(378 ^ [462 ^ []], 462 ^ []), -(378 ^ [462 ^ []] = 378 ^ [462 ^ []]), -(378 ^ [462 ^ []] = 378 ^ [462 ^ []]), -(378 ^ [462 ^ []] = 378 ^ [462 ^ []])],extension(392 ^ 6,bind([[_78677, _78679, _78681, _78683], [378 ^ [462 ^ []], 378 ^ [462 ^ []], 378 ^ [462 ^ []], 462 ^ []]]))).
% 43.42/42.72 ncf('1.1.1.1',plain,[-(end_point(378 ^ [462 ^ []], 462 ^ []))],reduction('1.1')).
% 43.42/42.72 ncf('1.1.1.2',plain,[-(end_point(378 ^ [462 ^ []], 462 ^ []))],reduction('1.1')).
% 43.42/42.72 ncf('1.1.1.3',plain,[378 ^ [462 ^ []] = 378 ^ [462 ^ []], -(inner_point(378 ^ [462 ^ []], 462 ^ [])), inner_point(378 ^ [462 ^ []], 462 ^ []), 462 ^ [] = 462 ^ []],extension(30 ^ 7,bind([[_66526, _66528, _66530, _66532], [462 ^ [], 462 ^ [], 378 ^ [462 ^ []], 378 ^ [462 ^ []]]]))).
% 43.42/42.72 ncf('1.1.1.3.1',plain,[inner_point(378 ^ [462 ^ []], 462 ^ []), 242 : end_point(378 ^ [462 ^ []], 462 ^ [])],extension(236 ^ 8,bind([[_73548, _73550], [462 ^ [], 378 ^ [462 ^ []]]]))).
% 43.42/42.72 ncf('1.1.1.3.1.1',plain,[-(end_point(378 ^ [462 ^ []], 462 ^ []))],reduction('1.1')).
% 43.42/42.72 ncf('1.1.1.3.2',plain,[-(inner_point(378 ^ [462 ^ []], 462 ^ []))],extension(380 ^ 8,bind([[_78077], [462 ^ []]]))).
% 43.42/42.72 ncf('1.1.1.3.3',plain,[-(462 ^ [] = 462 ^ [])],extension(2 ^ 8,bind([[_65579], [462 ^ []]]))).
% 43.42/42.72 ncf('1.1.1.4',plain,[378 ^ [462 ^ []] = 378 ^ [462 ^ []]],lemmata('[1, 1].x')).
% 43.42/42.72 ncf('1.1.1.5',plain,[378 ^ [462 ^ []] = 378 ^ [462 ^ []]],lemmata('[1, 1].x')).
% 43.42/42.72 ncf('1.1.2',plain,[-(incident_c(378 ^ [462 ^ []], 462 ^ [])), 147 : incident_c(378 ^ [462 ^ []], 462 ^ []), 147 : -(incident_c(378 ^ [462 ^ []], 462 ^ [])), 147 : 462 ^ [] = sum(462 ^ [], 462 ^ [])],extension(143 ^ 4,bind([[_70260, _70262, _70264, _70442], [462 ^ [], 462 ^ [], 462 ^ [], 378 ^ [462 ^ []]]]))).
% 43.42/42.72 ncf('1.1.2.1',plain,[-(incident_c(378 ^ [462 ^ []], 462 ^ [])), inner_point(378 ^ [462 ^ []], 462 ^ [])],extension(236 ^ 7,bind([[_73548, _73550], [462 ^ [], 378 ^ [462 ^ []]]]))).
% 43.42/42.72 ncf('1.1.2.1.1',plain,[-(inner_point(378 ^ [462 ^ []], 462 ^ []))],extension(380 ^ 8,bind([[_78077], [462 ^ []]]))).
% 43.42/42.72 ncf('1.1.2.2',plain,[incident_c(378 ^ [462 ^ []], 462 ^ [])],reduction('1.1')).
% 43.42/42.72 ncf('1.1.2.3',plain,[-(462 ^ [] = sum(462 ^ [], 462 ^ [])), 174 : incident_c(166 ^ [462 ^ [], 462 ^ [], 462 ^ []], 462 ^ []), 176 : -(incident_c(166 ^ [462 ^ [], 462 ^ [], 462 ^ []], 462 ^ [])), 176 : -(incident_c(166 ^ [462 ^ [], 462 ^ [], 462 ^ []], 462 ^ []))],extension(165 ^ 5,bind([[_70985, _70987, _70989], [462 ^ [], 462 ^ [], 462 ^ []]]))).
% 43.42/42.72 ncf('1.1.2.3.1',plain,[-(incident_c(166 ^ [462 ^ [], 462 ^ [], 462 ^ []], 462 ^ []))],extension(170 ^ 8)).
% 43.42/42.72 ncf('1.1.2.3.2',plain,[incident_c(166 ^ [462 ^ [], 462 ^ [], 462 ^ []], 462 ^ [])],extension(182 ^ 8)).
% 43.42/42.72 ncf('1.1.2.3.3',plain,[incident_c(166 ^ [462 ^ [], 462 ^ [], 462 ^ []], 462 ^ [])],lemmata('[2, 1, 1].x')).
% 43.42/42.72 ncf('1.1.3',plain,[-(incident_c(378 ^ [462 ^ []], 463 ^ [])), 128 : incident_c(378 ^ [462 ^ []], 462 ^ []), 128 : part_of(462 ^ [], 463 ^ [])],extension(124 ^ 4,bind([[_69546, _69548, _69683], [462 ^ [], 463 ^ [], 378 ^ [462 ^ []]]]))).
% 43.42/42.72 ncf('1.1.3.1',plain,[-(incident_c(378 ^ [462 ^ []], 462 ^ [])), inner_point(378 ^ [462 ^ []], 462 ^ [])],extension(236 ^ 7,bind([[_73548, _73550], [462 ^ [], 378 ^ [462 ^ []]]]))).
% 43.42/42.72 ncf('1.1.3.1.1',plain,[-(inner_point(378 ^ [462 ^ []], 462 ^ []))],extension(380 ^ 8,bind([[_78077], [462 ^ []]]))).
% 43.42/42.72 ncf('1.1.3.2',plain,[-(part_of(462 ^ [], 463 ^ []))],extension(465 ^ 5)).
% 43.42/42.72 %-----------------------------------------------------
% 43.42/42.72 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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