%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO084+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 147.05s 142.18s
% Output   : Proof 147.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO084+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n021.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 04:16:27 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 147.05/142.18  
% 147.05/142.18  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 147.05/142.18  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 147.05/142.18  %-----------------------------------------------------
% 147.05/142.18  ncf(matrix, plain, [(345 ^ _42732) ^ [] : [-(part_of(340 ^ [], 342 ^ []))], (347 ^ _42732) ^ [] : [-(part_of(341 ^ [], 342 ^ []))], (349 ^ _42732) ^ [] : [-(meet(343 ^ [], 340 ^ [], 341 ^ []))], (351 ^ _42732) ^ [] : [part_of(sum(340 ^ [], 341 ^ []), 342 ^ [])], (12 ^ _42732) ^ [_43188, _43190] : [14 ^ _42732 : [(15 ^ _42732) ^ [] : [-(incident_c(13 ^ [_43188, _43190], _43188))], (17 ^ _42732) ^ [] : [incident_c(13 ^ [_43188, _43190], _43190)]], -(part_of(_43188, _43190))], (2 ^ _42732) ^ [_42874, _42876] : [part_of(_42874, _42876), 5 ^ _42732 : [(6 ^ _42732) ^ [_43011] : [incident_c(_43011, _42874), -(incident_c(_43011, _42876))]]], (43 ^ _42732) ^ [_44313, _44315, _44317] : [-(_44317 = sum(_44315, _44313)), 47 ^ _42732 : [(48 ^ _42732) ^ [] : [-(incident_c(44 ^ [_44313, _44315, _44317], _44317))], (50 ^ _42732) ^ [] : [incident_c(44 ^ [_44313, _44315, _44317], _44315)], (52 ^ _42732) ^ [] : [incident_c(44 ^ [_44313, _44315, _44317], _44313)]], 53 ^ _42732 : [(60 ^ _42732) ^ [] : [incident_c(44 ^ [_44313, _44315, _44317], _44317)], (54 ^ _42732) ^ [] : [-(incident_c(44 ^ [_44313, _44315, _44317], _44315)), -(incident_c(44 ^ [_44313, _44315, _44317], _44313))]]], (21 ^ _42732) ^ [_43588, _43590, _43592] : [_43592 = sum(_43590, _43588), 24 ^ _42732 : [(35 ^ _42732) ^ [_44048] : [36 ^ _42732 : [(37 ^ _42732) ^ [] : [incident_c(_44048, _43590)], (39 ^ _42732) ^ [] : [incident_c(_44048, _43588)]], -(incident_c(_44048, _43592))], (25 ^ _42732) ^ [_43770] : [incident_c(_43770, _43592), -(incident_c(_43770, _43590)), -(incident_c(_43770, _43588))]]], (92 ^ _42732) ^ [_45921, _45923] : [-(end_point(_45923, _45921)), incident_c(_45923, _45921), 99 ^ _42732 : [(100 ^ _42732) ^ [] : [-(part_of(97 ^ [_45921, _45923], _45921))], (102 ^ _42732) ^ [] : [-(part_of(98 ^ [_45921, _45923], _45921))], (104 ^ _42732) ^ [] : [-(incident_c(_45923, 97 ^ [_45921, _45923]))], (106 ^ _42732) ^ [] : [-(incident_c(_45923, 98 ^ [_45921, _45923]))], (108 ^ _42732) ^ [] : [part_of(97 ^ [_45921, _45923], 98 ^ [_45921, _45923])], (110 ^ _42732) ^ [] : [part_of(98 ^ [_45921, _45923], 97 ^ [_45921, _45923])]]], (64 ^ _42732) ^ [_45093, _45095] : [end_point(_45095, _45093), 67 ^ _42732 : [(68 ^ _42732) ^ [] : [-(incident_c(_45095, _45093))], (70 ^ _42732) ^ [_45345, _45347] : [-(part_of(_45347, _45345)), -(part_of(_45345, _45347)), part_of(_45347, _45093), part_of(_45345, _45093), incident_c(_45095, _45347), incident_c(_45095, _45345)]]], (114 ^ _42732) ^ [_46876, _46878] : [inner_point(_46878, _46876), 117 ^ _42732 : [(118 ^ _42732) ^ [] : [-(incident_c(_46878, _46876))], (120 ^ _42732) ^ [] : [end_point(_46878, _46876)]]], (122 ^ _42732) ^ [_47114, _47116] : [-(inner_point(_47116, _47114)), incident_c(_47116, _47114), -(end_point(_47116, _47114))], (132 ^ _42732) ^ [_47461, _47463, _47465] : [meet(_47465, _47463, _47461), 135 ^ _42732 : [(136 ^ _42732) ^ [] : [-(incident_c(_47465, _47463))], (138 ^ _42732) ^ [] : [-(incident_c(_47465, _47461))], (140 ^ _42732) ^ [_47764] : [147 ^ _42732 : [(148 ^ _42732) ^ [] : [-(end_point(_47764, _47463))], (150 ^ _42732) ^ [] : [-(end_point(_47764, _47461))]], incident_c(_47764, _47463), incident_c(_47764, _47461)]]], (152 ^ _42732) ^ [_48129, _48131, _48133] : [-(meet(_48133, _48131, _48129)), incident_c(_48133, _48131), incident_c(_48133, _48129), 162 ^ _42732 : [(163 ^ _42732) ^ [] : [-(incident_c(161 ^ [_48129, _48131, _48133], _48131))], (165 ^ _42732) ^ [] : [-(incident_c(161 ^ [_48129, _48131, _48133], _48129))], (167 ^ _42732) ^ [] : [end_point(161 ^ [_48129, _48131, _48133], _48131), end_point(161 ^ [_48129, _48131, _48133], _48129)]]], (175 ^ _42732) ^ [_48906] : [closed(_48906), 178 ^ _42732 : [(179 ^ _42732) ^ [_49017] : [end_point(_49017, _48906)]]], (181 ^ _42732) ^ [_49083] : [-(end_point(182 ^ [_49083], _49083)), -(closed(_49083))], (188 ^ _42732) ^ [_49356] : [open(_49356), -(end_point(191 ^ [_49356], _49356))], (195 ^ _42732) ^ [_49561] : [196 ^ _42732 : [(197 ^ _42732) ^ [_49628] : [end_point(_49628, _49561)]], -(open(_49561))], (201 ^ _42732) ^ [_49787, _49789] : [-(open(_49787)), part_of(_49787, _49789), -(_49787 = _49789)], (211 ^ _42732) ^ [_50115, _50117, _50119, _50121] : [part_of(_50119, _50121), part_of(_50117, _50121), part_of(_50115, _50121), 224 ^ _42732 : [(225 ^ _42732) ^ [_50526] : [end_point(_50526, _50119), end_point(_50526, _50117), end_point(_50526, _50115)]], -(part_of(_50117, _50115)), -(part_of(_50115, _50117)), -(part_of(_50119, _50117)), -(part_of(_50117, _50119)), -(part_of(_50119, _50115)), -(part_of(_50115, _50119))], (258 ^ _42732) ^ [_51405] : [-(inner_point(256 ^ [_51405], _51405))], (260 ^ _42732) ^ [_51517, _51519] : [inner_point(_51517, _51519), 265 ^ _42732 : [(266 ^ _42732) ^ [] : [-(meet(_51517, 263 ^ [_51517, _51519], 264 ^ [_51517, _51519]))], (268 ^ _42732) ^ [] : [-(_51519 = sum(263 ^ [_51517, _51519], 264 ^ [_51517, _51519]))]]], (270 ^ _42732) ^ [_52005, _52007, _52009, _52011] : [end_point(_52009, _52011), end_point(_52007, _52011), end_point(_52005, _52011), -(_52009 = _52007), -(_52009 = _52005), -(_52007 = _52005)], (292 ^ _42732) ^ [_52621, _52623] : [end_point(_52621, _52623), 296 ^ _42732 : [(297 ^ _42732) ^ [] : [-(end_point(295 ^ [_52621, _52623], _52623))], (299 ^ _42732) ^ [] : [_52621 = 295 ^ [_52621, _52623]]]], (301 ^ _42732) ^ [_53007, _53009, _53011, _53013] : [312 ^ _42732 : [(313 ^ _42732) ^ [_53353] : [end_point(_53353, _53011), -(meet(_53353, _53011, _53009))]], closed(_53013), meet(_53007, _53011, _53009), _53013 = sum(_53011, _53009)], (319 ^ _42732) ^ [_53596, _53598] : [320 ^ _42732 : [(321 ^ _42732) ^ [_53675] : [meet(_53675, _53598, _53596)]], -(322 ^ [_53596, _53598] = sum(_53598, _53596))], (326 ^ _42732) ^ [_53876, _53878] : [-(_53878 = _53876), 330 ^ _42732 : [(331 ^ _42732) ^ [] : [-(incident_c(327 ^ [_53876, _53878], _53878))], (333 ^ _42732) ^ [] : [incident_c(327 ^ [_53876, _53878], _53876)]], 334 ^ _42732 : [(335 ^ _42732) ^ [] : [-(incident_c(327 ^ [_53876, _53878], _53876))], (337 ^ _42732) ^ [] : [incident_c(327 ^ [_53876, _53878], _53878)]]]], input).
% 147.05/142.18  ncf('1',plain,[part_of(sum(340 ^ [], 341 ^ []), 342 ^ [])],start(351 ^ 0)).
% 147.05/142.18  ncf('1.1',plain,[-(part_of(sum(340 ^ [], 341 ^ []), 342 ^ [])), 15 : -(incident_c(13 ^ [sum(340 ^ [], 341 ^ []), 342 ^ []], sum(340 ^ [], 341 ^ [])))],extension(12 ^ 1,bind([[_43188, _43190], [sum(340 ^ [], 341 ^ []), 342 ^ []]]))).
% 147.05/142.18  ncf('1.1.1',plain,[incident_c(13 ^ [sum(340 ^ [], 341 ^ []), 342 ^ []], sum(340 ^ [], 341 ^ [])), 25 : -(incident_c(13 ^ [sum(340 ^ [], 341 ^ []), 342 ^ []], 340 ^ [])), 25 : -(incident_c(13 ^ [sum(340 ^ [], 341 ^ []), 342 ^ []], 341 ^ [])), 25 : sum(340 ^ [], 341 ^ []) = sum(340 ^ [], 341 ^ [])],extension(21 ^ 4,bind([[_43588, _43590, _43592, _43770], [341 ^ [], 340 ^ [], sum(340 ^ [], 341 ^ []), 13 ^ [sum(340 ^ [], 341 ^ []), 342 ^ []]]]))).
% 147.05/142.18  ncf('1.1.1.1',plain,[incident_c(13 ^ [sum(340 ^ [], 341 ^ []), 342 ^ []], 340 ^ []), 6 : -(incident_c(13 ^ [sum(340 ^ [], 341 ^ []), 342 ^ []], 342 ^ [])), 6 : part_of(340 ^ [], 342 ^ [])],extension(2 ^ 7,bind([[_42874, _42876, _43011], [340 ^ [], 342 ^ [], 13 ^ [sum(340 ^ [], 341 ^ []), 342 ^ []]]]))).
% 147.05/142.18  ncf('1.1.1.1.1',plain,[incident_c(13 ^ [sum(340 ^ [], 341 ^ []), 342 ^ []], 342 ^ [])],extension(17 ^ 10)).
% 147.05/142.18  ncf('1.1.1.1.2',plain,[-(part_of(340 ^ [], 342 ^ []))],extension(345 ^ 8)).
% 147.05/142.18  ncf('1.1.1.2',plain,[incident_c(13 ^ [sum(340 ^ [], 341 ^ []), 342 ^ []], 341 ^ []), 6 : -(incident_c(13 ^ [sum(340 ^ [], 341 ^ []), 342 ^ []], 342 ^ [])), 6 : part_of(341 ^ [], 342 ^ [])],extension(2 ^ 7,bind([[_42874, _42876, _43011], [341 ^ [], 342 ^ [], 13 ^ [sum(340 ^ [], 341 ^ []), 342 ^ []]]]))).
% 147.05/142.18  ncf('1.1.1.2.1',plain,[incident_c(13 ^ [sum(340 ^ [], 341 ^ []), 342 ^ []], 342 ^ [])],extension(17 ^ 10)).
% 147.05/142.18  ncf('1.1.1.2.2',plain,[-(part_of(341 ^ [], 342 ^ []))],extension(347 ^ 8)).
% 147.05/142.18  ncf('1.1.1.3',plain,[-(sum(340 ^ [], 341 ^ []) = sum(340 ^ [], 341 ^ [])), 331 : -(incident_c(327 ^ [sum(340 ^ [], 341 ^ []), sum(340 ^ [], 341 ^ [])], sum(340 ^ [], 341 ^ []))), 335 : -(incident_c(327 ^ [sum(340 ^ [], 341 ^ []), sum(340 ^ [], 341 ^ [])], sum(340 ^ [], 341 ^ [])))],extension(326 ^ 5,bind([[_53876, _53878], [sum(340 ^ [], 341 ^ []), sum(340 ^ [], 341 ^ [])]]))).
% 147.05/142.18  ncf('1.1.1.3.1',plain,[incident_c(327 ^ [sum(340 ^ [], 341 ^ []), sum(340 ^ [], 341 ^ [])], sum(340 ^ [], 341 ^ []))],extension(333 ^ 8)).
% 147.05/142.18  ncf('1.1.1.3.2',plain,[incident_c(327 ^ [sum(340 ^ [], 341 ^ []), sum(340 ^ [], 341 ^ [])], sum(340 ^ [], 341 ^ []))],extension(337 ^ 8)).
% 147.05/142.18  %-----------------------------------------------------
% 147.05/142.18  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------