TSTP Solution File: GEO111+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO111+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n010.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 0.65s 1.38s
% Output : Proof 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO111+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n010.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 04:29:26 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.65/1.38
% 0.65/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.65/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/1.38 %-----------------------------------------------------
% 0.65/1.38 ncf(matrix, plain, [(526 ^ _75722) ^ [] : [-(between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ []))], (528 ^ _75722) ^ [] : [incident_c(522 ^ [], 521 ^ []), incident_c(523 ^ [], 521 ^ []), incident_c(524 ^ [], 521 ^ []), -(522 ^ [] = 523 ^ []), -(523 ^ [] = 524 ^ []), -(522 ^ [] = 524 ^ [])], (136 ^ _75722) ^ [_80263, _80265, _80267, _80269] : [-(sum(_80269, _80265) = sum(_80267, _80263)), _80269 = _80267, _80265 = _80263], (2 ^ _75722) ^ [_75866] : [-(_75866 = _75866)], (4 ^ _75722) ^ [_75973, _75975] : [_75975 = _75973, -(_75973 = _75975)], (10 ^ _75722) ^ [_76177, _76179, _76181] : [-(_76181 = _76177), _76181 = _76179, _76179 = _76177], (20 ^ _75722) ^ [_76490, _76492] : [-(open(_76490)), _76492 = _76490, open(_76492)], (30 ^ _75722) ^ [_76785, _76787] : [-(closed(_76785)), _76787 = _76785, closed(_76787)], (40 ^ _75722) ^ [_77136, _77138, _77140, _77142, _77144, _77146] : [-(meet(_77144, _77140, _77136)), meet(_77146, _77142, _77138), _77146 = _77144, _77142 = _77140, _77138 = _77136], (58 ^ _75722) ^ [_77717, _77719, _77721, _77723] : [-(part_of(_77721, _77717)), part_of(_77723, _77719), _77723 = _77721, _77719 = _77717], (72 ^ _75722) ^ [_78161, _78163, _78165, _78167] : [-(end_point(_78165, _78161)), end_point(_78167, _78163), _78167 = _78165, _78163 = _78161], (86 ^ _75722) ^ [_78605, _78607, _78609, _78611] : [-(inner_point(_78609, _78605)), inner_point(_78611, _78607), _78611 = _78609, _78607 = _78605], (122 ^ _75722) ^ [_79819, _79821, _79823, _79825] : [-(incident_c(_79823, _79819)), incident_c(_79825, _79821), _79825 = _79823, _79821 = _79819], (100 ^ _75722) ^ [_79105, _79107, _79109, _79111, _79113, _79115, _79117, _79119] : [-(between_c(_79117, _79113, _79109, _79105)), between_c(_79119, _79115, _79111, _79107), _79119 = _79117, _79115 = _79113, _79111 = _79109, _79107 = _79105], (485 ^ _75722) ^ [_92294, _92296, _92298, _92300] : [between_c(_92300, _92298, _92296, _92294), 488 ^ _75722 : [(489 ^ _75722) ^ [] : [_92298 = _92294], (492 ^ _75722) ^ [] : [-(part_of(490 ^ [_92294, _92296, _92298, _92300], _92300))], (494 ^ _75722) ^ [] : [-(end_point(_92298, 490 ^ [_92294, _92296, _92298, _92300]))], (496 ^ _75722) ^ [] : [-(end_point(_92294, 490 ^ [_92294, _92296, _92298, _92300]))], (498 ^ _75722) ^ [] : [-(inner_point(_92296, 490 ^ [_92294, _92296, _92298, _92300]))]]], (500 ^ _75722) ^ [_92906, _92908, _92910, _92912] : [-(between_c(_92912, _92910, _92908, _92906)), -(_92910 = _92906), 505 ^ _75722 : [(506 ^ _75722) ^ [_93112] : [part_of(_93112, _92912), end_point(_92910, _93112), end_point(_92906, _93112), inner_point(_92908, _93112)]]], (156 ^ _75722) ^ [_80959, _80961] : [158 ^ _75722 : [(159 ^ _75722) ^ [] : [-(incident_c(157 ^ [_80959, _80961], _80959))], (161 ^ _75722) ^ [] : [incident_c(157 ^ [_80959, _80961], _80961)]], -(part_of(_80959, _80961))], (146 ^ _75722) ^ [_80645, _80647] : [part_of(_80645, _80647), 149 ^ _75722 : [(150 ^ _75722) ^ [_80782] : [incident_c(_80782, _80645), -(incident_c(_80782, _80647))]]], (187 ^ _75722) ^ [_82084, _82086, _82088] : [-(_82088 = sum(_82086, _82084)), 191 ^ _75722 : [(192 ^ _75722) ^ [] : [-(incident_c(188 ^ [_82084, _82086, _82088], _82088))], (194 ^ _75722) ^ [] : [incident_c(188 ^ [_82084, _82086, _82088], _82086)], (196 ^ _75722) ^ [] : [incident_c(188 ^ [_82084, _82086, _82088], _82084)]], 197 ^ _75722 : [(204 ^ _75722) ^ [] : [incident_c(188 ^ [_82084, _82086, _82088], _82088)], (198 ^ _75722) ^ [] : [-(incident_c(188 ^ [_82084, _82086, _82088], _82086)), -(incident_c(188 ^ [_82084, _82086, _82088], _82084))]]], (165 ^ _75722) ^ [_81359, _81361, _81363] : [_81363 = sum(_81361, _81359), 168 ^ _75722 : [(179 ^ _75722) ^ [_81819] : [180 ^ _75722 : [(181 ^ _75722) ^ [] : [incident_c(_81819, _81361)], (183 ^ _75722) ^ [] : [incident_c(_81819, _81359)]], -(incident_c(_81819, _81363))], (169 ^ _75722) ^ [_81541] : [incident_c(_81541, _81363), -(incident_c(_81541, _81361)), -(incident_c(_81541, _81359))]]], (236 ^ _75722) ^ [_83692, _83694] : [-(end_point(_83694, _83692)), incident_c(_83694, _83692), 243 ^ _75722 : [(244 ^ _75722) ^ [] : [-(part_of(241 ^ [_83692, _83694], _83692))], (246 ^ _75722) ^ [] : [-(part_of(242 ^ [_83692, _83694], _83692))], (248 ^ _75722) ^ [] : [-(incident_c(_83694, 241 ^ [_83692, _83694]))], (250 ^ _75722) ^ [] : [-(incident_c(_83694, 242 ^ [_83692, _83694]))], (252 ^ _75722) ^ [] : [part_of(241 ^ [_83692, _83694], 242 ^ [_83692, _83694])], (254 ^ _75722) ^ [] : [part_of(242 ^ [_83692, _83694], 241 ^ [_83692, _83694])]]], (208 ^ _75722) ^ [_82864, _82866] : [end_point(_82866, _82864), 211 ^ _75722 : [(212 ^ _75722) ^ [] : [-(incident_c(_82866, _82864))], (214 ^ _75722) ^ [_83116, _83118] : [-(part_of(_83118, _83116)), -(part_of(_83116, _83118)), part_of(_83118, _82864), part_of(_83116, _82864), incident_c(_82866, _83118), incident_c(_82866, _83116)]]], (258 ^ _75722) ^ [_84647, _84649] : [inner_point(_84649, _84647), 261 ^ _75722 : [(262 ^ _75722) ^ [] : [-(incident_c(_84649, _84647))], (264 ^ _75722) ^ [] : [end_point(_84649, _84647)]]], (266 ^ _75722) ^ [_84885, _84887] : [-(inner_point(_84887, _84885)), incident_c(_84887, _84885), -(end_point(_84887, _84885))], (276 ^ _75722) ^ [_85232, _85234, _85236] : [meet(_85236, _85234, _85232), 279 ^ _75722 : [(280 ^ _75722) ^ [] : [-(incident_c(_85236, _85234))], (282 ^ _75722) ^ [] : [-(incident_c(_85236, _85232))], (284 ^ _75722) ^ [_85535] : [291 ^ _75722 : [(292 ^ _75722) ^ [] : [-(end_point(_85535, _85234))], (294 ^ _75722) ^ [] : [-(end_point(_85535, _85232))]], incident_c(_85535, _85234), incident_c(_85535, _85232)]]], (296 ^ _75722) ^ [_85900, _85902, _85904] : [-(meet(_85904, _85902, _85900)), incident_c(_85904, _85902), incident_c(_85904, _85900), 306 ^ _75722 : [(307 ^ _75722) ^ [] : [-(incident_c(305 ^ [_85900, _85902, _85904], _85902))], (309 ^ _75722) ^ [] : [-(incident_c(305 ^ [_85900, _85902, _85904], _85900))], (311 ^ _75722) ^ [] : [end_point(305 ^ [_85900, _85902, _85904], _85902), end_point(305 ^ [_85900, _85902, _85904], _85900)]]], (319 ^ _75722) ^ [_86677] : [closed(_86677), 322 ^ _75722 : [(323 ^ _75722) ^ [_86788] : [end_point(_86788, _86677)]]], (325 ^ _75722) ^ [_86854] : [-(end_point(326 ^ [_86854], _86854)), -(closed(_86854))], (332 ^ _75722) ^ [_87127] : [open(_87127), -(end_point(335 ^ [_87127], _87127))], (339 ^ _75722) ^ [_87332] : [340 ^ _75722 : [(341 ^ _75722) ^ [_87399] : [end_point(_87399, _87332)]], -(open(_87332))], (345 ^ _75722) ^ [_87558, _87560] : [-(open(_87558)), part_of(_87558, _87560), -(_87558 = _87560)], (355 ^ _75722) ^ [_87886, _87888, _87890, _87892] : [part_of(_87890, _87892), part_of(_87888, _87892), part_of(_87886, _87892), 368 ^ _75722 : [(369 ^ _75722) ^ [_88297] : [end_point(_88297, _87890), end_point(_88297, _87888), end_point(_88297, _87886)]], -(part_of(_87888, _87886)), -(part_of(_87886, _87888)), -(part_of(_87890, _87888)), -(part_of(_87888, _87890)), -(part_of(_87890, _87886)), -(part_of(_87886, _87890))], (402 ^ _75722) ^ [_89176] : [-(inner_point(400 ^ [_89176], _89176))], (404 ^ _75722) ^ [_89288, _89290] : [inner_point(_89288, _89290), 409 ^ _75722 : [(410 ^ _75722) ^ [] : [-(meet(_89288, 407 ^ [_89288, _89290], 408 ^ [_89288, _89290]))], (412 ^ _75722) ^ [] : [-(_89290 = sum(407 ^ [_89288, _89290], 408 ^ [_89288, _89290]))]]], (414 ^ _75722) ^ [_89776, _89778, _89780, _89782] : [end_point(_89780, _89782), end_point(_89778, _89782), end_point(_89776, _89782), -(_89780 = _89778), -(_89780 = _89776), -(_89778 = _89776)], (436 ^ _75722) ^ [_90392, _90394] : [end_point(_90392, _90394), 440 ^ _75722 : [(441 ^ _75722) ^ [] : [-(end_point(439 ^ [_90392, _90394], _90394))], (443 ^ _75722) ^ [] : [_90392 = 439 ^ [_90392, _90394]]]], (445 ^ _75722) ^ [_90778, _90780, _90782, _90784] : [456 ^ _75722 : [(457 ^ _75722) ^ [_91124] : [end_point(_91124, _90782), -(meet(_91124, _90782, _90780))]], closed(_90784), meet(_90778, _90782, _90780), _90784 = sum(_90782, _90780)], (463 ^ _75722) ^ [_91367, _91369] : [464 ^ _75722 : [(465 ^ _75722) ^ [_91446] : [meet(_91446, _91369, _91367)]], -(466 ^ [_91367, _91369] = sum(_91369, _91367))], (470 ^ _75722) ^ [_91647, _91649] : [-(_91649 = _91647), 474 ^ _75722 : [(475 ^ _75722) ^ [] : [-(incident_c(471 ^ [_91647, _91649], _91649))], (477 ^ _75722) ^ [] : [incident_c(471 ^ [_91647, _91649], _91647)]], 478 ^ _75722 : [(479 ^ _75722) ^ [] : [-(incident_c(471 ^ [_91647, _91649], _91647))], (481 ^ _75722) ^ [] : [incident_c(471 ^ [_91647, _91649], _91649)]]]], input).
% 0.65/1.38 ncf('1',plain,[between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ []), 489 : 522 ^ [] = 524 ^ []],start(485 ^ 0,bind([[_92294, _92296, _92298, _92300], [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]))).
% 0.65/1.38 ncf('1.1',plain,[-(between_c(521 ^ [], 522 ^ [], 523 ^ [], 524 ^ []))],extension(526 ^ 1)).
% 0.65/1.38 ncf('1.2',plain,[-(522 ^ [] = 524 ^ []), incident_c(522 ^ [], 521 ^ []), incident_c(523 ^ [], 521 ^ []), incident_c(524 ^ [], 521 ^ []), -(522 ^ [] = 523 ^ []), -(523 ^ [] = 524 ^ [])],extension(528 ^ 3)).
% 0.65/1.38 ncf('1.2.1',plain,[-(incident_c(522 ^ [], 521 ^ [])), 150 : incident_c(522 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]), 150 : part_of(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ [])],extension(146 ^ 4,bind([[_80645, _80647, _80782], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ [], 522 ^ []]]))).
% 0.65/1.38 ncf('1.2.1.1',plain,[-(incident_c(522 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])), end_point(522 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(208 ^ 7,bind([[_82864, _82866], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 522 ^ []]]))).
% 0.65/1.38 ncf('1.2.1.1.1',plain,[-(end_point(522 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]))],extension(494 ^ 8)).
% 0.65/1.38 ncf('1.2.1.2',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(58 ^ 5,bind([[_77717, _77719, _77721, _77723], [521 ^ [], 521 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.65/1.38 ncf('1.2.1.2.1',plain,[-(part_of(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ []))],extension(492 ^ 6)).
% 0.65/1.38 ncf('1.2.1.2.2',plain,[-(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(2 ^ 6,bind([[_75866], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.65/1.38 ncf('1.2.1.2.3',plain,[-(521 ^ [] = 521 ^ [])],extension(2 ^ 6,bind([[_75866], [521 ^ []]]))).
% 0.65/1.38 ncf('1.2.2',plain,[-(incident_c(523 ^ [], 521 ^ [])), 150 : incident_c(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]), 150 : part_of(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ [])],extension(146 ^ 4,bind([[_80645, _80647, _80782], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ [], 523 ^ []]]))).
% 0.65/1.38 ncf('1.2.2.1',plain,[-(incident_c(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])), inner_point(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(258 ^ 7,bind([[_84647, _84649], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 523 ^ []]]))).
% 0.65/1.38 ncf('1.2.2.1.1',plain,[-(inner_point(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]))],extension(498 ^ 8)).
% 0.65/1.38 ncf('1.2.2.2',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(58 ^ 5,bind([[_77717, _77719, _77721, _77723], [521 ^ [], 521 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.65/1.38 ncf('1.2.2.2.1',plain,[-(part_of(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ []))],extension(492 ^ 6)).
% 0.65/1.38 ncf('1.2.2.2.2',plain,[-(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(2 ^ 6,bind([[_75866], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.65/1.38 ncf('1.2.2.2.3',plain,[-(521 ^ [] = 521 ^ [])],extension(2 ^ 6,bind([[_75866], [521 ^ []]]))).
% 0.65/1.38 ncf('1.2.3',plain,[-(incident_c(524 ^ [], 521 ^ [])), 150 : incident_c(524 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]), 150 : part_of(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ [])],extension(146 ^ 4,bind([[_80645, _80647, _80782], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ [], 524 ^ []]]))).
% 0.65/1.38 ncf('1.2.3.1',plain,[-(incident_c(524 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])), end_point(524 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(208 ^ 7,bind([[_82864, _82866], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 524 ^ []]]))).
% 0.65/1.38 ncf('1.2.3.1.1',plain,[-(end_point(524 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]))],extension(496 ^ 8)).
% 0.65/1.38 ncf('1.2.3.2',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(58 ^ 5,bind([[_77717, _77719, _77721, _77723], [521 ^ [], 521 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.65/1.38 ncf('1.2.3.2.1',plain,[-(part_of(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 521 ^ []))],extension(492 ^ 6)).
% 0.65/1.38 ncf('1.2.3.2.2',plain,[-(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(2 ^ 6,bind([[_75866], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.65/1.38 ncf('1.2.3.2.3',plain,[-(521 ^ [] = 521 ^ [])],extension(2 ^ 6,bind([[_75866], [521 ^ []]]))).
% 0.65/1.38 ncf('1.2.4',plain,[522 ^ [] = 523 ^ [], -(end_point(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])), end_point(522 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]), 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]],extension(72 ^ 4,bind([[_78161, _78163, _78165, _78167], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 523 ^ [], 522 ^ []]]))).
% 0.65/1.38 ncf('1.2.4.1',plain,[end_point(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]), inner_point(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(258 ^ 5,bind([[_84647, _84649], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 523 ^ []]]))).
% 0.65/1.38 ncf('1.2.4.1.1',plain,[-(inner_point(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]))],extension(498 ^ 6)).
% 0.65/1.38 ncf('1.2.4.2',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(72 ^ 5,bind([[_78161, _78163, _78165, _78167], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 522 ^ [], 522 ^ []]]))).
% 0.65/1.38 ncf('1.2.4.2.1',plain,[-(end_point(522 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]))],extension(494 ^ 6)).
% 0.65/1.38 ncf('1.2.4.2.2',plain,[-(522 ^ [] = 522 ^ [])],extension(2 ^ 6,bind([[_75866], [522 ^ []]]))).
% 0.65/1.38 ncf('1.2.4.2.3',plain,[-(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(2 ^ 6,bind([[_75866], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.65/1.38 ncf('1.2.4.3',plain,[-(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(2 ^ 5,bind([[_75866], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.65/1.38 ncf('1.2.5',plain,[523 ^ [] = 524 ^ [], -(inner_point(524 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])), inner_point(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]), 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]],extension(86 ^ 4,bind([[_78605, _78607, _78609, _78611], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 524 ^ [], 523 ^ []]]))).
% 0.65/1.38 ncf('1.2.5.1',plain,[inner_point(524 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]), 264 : end_point(524 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(258 ^ 5,bind([[_84647, _84649], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 524 ^ []]]))).
% 0.65/1.38 ncf('1.2.5.1.1',plain,[-(end_point(524 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]))],extension(496 ^ 8)).
% 0.65/1.38 ncf('1.2.5.2',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(86 ^ 5,bind([[_78605, _78607, _78609, _78611], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []], 523 ^ [], 523 ^ []]]))).
% 0.65/1.38 ncf('1.2.5.2.1',plain,[-(inner_point(523 ^ [], 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]))],extension(498 ^ 6)).
% 0.65/1.38 ncf('1.2.5.2.2',plain,[-(523 ^ [] = 523 ^ [])],extension(2 ^ 6,bind([[_75866], [523 ^ []]]))).
% 0.65/1.38 ncf('1.2.5.2.3',plain,[-(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(2 ^ 6,bind([[_75866], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.65/1.38 ncf('1.2.5.3',plain,[-(490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []] = 490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []])],extension(2 ^ 5,bind([[_75866], [490 ^ [524 ^ [], 523 ^ [], 522 ^ [], 521 ^ []]]]))).
% 0.65/1.38 %-----------------------------------------------------
% 0.65/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------