TSTP Solution File: GEO253+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO253+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n016.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 11:12:22 EDT 2023

% Result   : Theorem 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO253+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n016.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May 19 04:31:42 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(395 ^ _52099) ^ [] : [-(apart_point_and_line(391 ^ [], 393 ^ []))], (397 ^ _52099) ^ [] : [apart_point_and_line(392 ^ [], parallel_through_point(393 ^ [], 391 ^ []))], (399 ^ _52099) ^ [] : [apart_point_and_line(392 ^ [], 393 ^ [])], (12 ^ _52099) ^ [_52497, _52499] : [13 ^ _52099 : [(14 ^ _52099) ^ [] : [left_apart_point(_52499, _52497)], (16 ^ _52099) ^ [] : [left_apart_point(_52499, reverse_line(_52497))]], -(apart_point_and_line(_52499, _52497))], (2 ^ _52099) ^ [_52241, _52243] : [apart_point_and_line(_52243, _52241), -(left_apart_point(_52243, _52241)), -(left_apart_point(_52243, reverse_line(_52241)))], (20 ^ _52099) ^ [_52816, _52818] : [convergent_lines(_52818, _52816), 23 ^ _52099 : [(24 ^ _52099) ^ [] : [-(unequally_directed_lines(_52818, _52816))], (26 ^ _52099) ^ [] : [-(unequally_directed_lines(_52818, reverse_line(_52816)))]]], (28 ^ _52099) ^ [_53057, _53059] : [-(convergent_lines(_53059, _53057)), unequally_directed_lines(_53059, _53057), unequally_directed_lines(_53059, reverse_line(_53057))], (38 ^ _52099) ^ [_53405, _53407, _53409] : [divides_points(_53405, _53409, _53407), 43 ^ _52099 : [(44 ^ _52099) ^ [] : [-(left_apart_point(_53409, _53405))], (46 ^ _52099) ^ [] : [-(left_apart_point(_53407, reverse_line(_53405)))]], 47 ^ _52099 : [(48 ^ _52099) ^ [] : [-(left_apart_point(_53409, reverse_line(_53405)))], (50 ^ _52099) ^ [] : [-(left_apart_point(_53407, _53405))]]], (52 ^ _52099) ^ [_53831, _53833, _53835] : [-(divides_points(_53831, _53835, _53833)), 53 ^ _52099 : [(54 ^ _52099) ^ [] : [left_apart_point(_53835, _53831), left_apart_point(_53833, reverse_line(_53831))], (60 ^ _52099) ^ [] : [left_apart_point(_53835, reverse_line(_53831)), left_apart_point(_53833, _53831)]]], (68 ^ _52099) ^ [_54364, _54366, _54368] : [before_on_line(_54368, _54366, _54364), 71 ^ _52099 : [(72 ^ _52099) ^ [] : [-(distinct_points(_54366, _54364))], (74 ^ _52099) ^ [] : [left_apart_point(_54366, _54368)], (76 ^ _52099) ^ [] : [left_apart_point(_54366, reverse_line(_54368))], (78 ^ _52099) ^ [] : [left_apart_point(_54364, _54368)], (80 ^ _52099) ^ [] : [left_apart_point(_54364, reverse_line(_54368))], (82 ^ _52099) ^ [] : [unequally_directed_lines(_54368, line_connecting(_54366, _54364))]]], (84 ^ _52099) ^ [_54934, _54936, _54938] : [-(before_on_line(_54938, _54936, _54934)), distinct_points(_54936, _54934), -(left_apart_point(_54936, _54938)), -(left_apart_point(_54936, reverse_line(_54938))), -(unequally_directed_lines(_54938, line_connecting(_54936, _54934))), -(left_apart_point(_54934, _54938)), -(left_apart_point(_54934, reverse_line(_54938)))], (110 ^ _52099) ^ [_55703, _55705, _55707, _55709] : [between_on_line(_55709, _55707, _55705, _55703), 115 ^ _52099 : [(116 ^ _52099) ^ [] : [-(before_on_line(_55709, _55707, _55705))], (118 ^ _52099) ^ [] : [-(before_on_line(_55709, _55705, _55703))]], 119 ^ _52099 : [(120 ^ _52099) ^ [] : [-(before_on_line(_55709, _55703, _55705))], (122 ^ _52099) ^ [] : [-(before_on_line(_55709, _55705, _55707))]]], (124 ^ _52099) ^ [_56145, _56147, _56149, _56151] : [-(between_on_line(_56151, _56149, _56147, _56145)), 125 ^ _52099 : [(126 ^ _52099) ^ [] : [before_on_line(_56151, _56149, _56147), before_on_line(_56151, _56147, _56145)], (132 ^ _52099) ^ [] : [before_on_line(_56151, _56145, _56147), before_on_line(_56151, _56147, _56149)]]], (140 ^ _52099) ^ [_56623] : [distinct_points(_56623, _56623)], (142 ^ _52099) ^ [_56744, _56746, _56748] : [distinct_points(_56748, _56746), -(distinct_points(_56748, _56744)), -(distinct_points(_56746, _56744))], (152 ^ _52099) ^ [_57024] : [distinct_lines(_57024, _57024)], (154 ^ _52099) ^ [_57145, _57147, _57149] : [distinct_lines(_57149, _57147), -(distinct_lines(_57149, _57145)), -(distinct_lines(_57147, _57145))], (164 ^ _52099) ^ [_57425] : [unequally_directed_lines(_57425, _57425)], (166 ^ _52099) ^ [_57546, _57548, _57550] : [unequally_directed_lines(_57550, _57548), -(unequally_directed_lines(_57550, _57546)), -(unequally_directed_lines(_57548, _57546))], (176 ^ _52099) ^ [_57870, _57872, _57874] : [unequally_directed_lines(_57874, _57872), unequally_directed_lines(_57874, reverse_line(_57872)), 185 ^ _52099 : [(186 ^ _52099) ^ [] : [-(unequally_directed_lines(_57874, _57870))], (188 ^ _52099) ^ [] : [-(unequally_directed_lines(_57874, reverse_line(_57870)))]], 189 ^ _52099 : [(190 ^ _52099) ^ [] : [-(unequally_directed_lines(_57872, _57870))], (192 ^ _52099) ^ [] : [-(unequally_directed_lines(_57872, reverse_line(_57870)))]]], (194 ^ _52099) ^ [_58441, _58443] : [line(_58443), line(_58441), -(unequally_directed_lines(_58443, _58441)), -(unequally_directed_lines(_58443, reverse_line(_58441)))], (208 ^ _52099) ^ [_58832, _58834] : [unequally_directed_lines(_58834, _58832), unequally_directed_lines(_58834, reverse_line(_58832)), -(left_convergent_lines(_58834, _58832)), -(left_convergent_lines(_58834, reverse_line(_58832)))], (222 ^ _52099) ^ [_59235, _59237] : [left_apart_point(_59237, _59235)], (224 ^ _52099) ^ [_59280, _59282] : [left_apart_point(_59282, reverse_line(_59280))], (226 ^ _52099) ^ [_59397, _59399] : [left_convergent_lines(_59399, _59397)], (228 ^ _52099) ^ [_59442, _59444] : [left_convergent_lines(_59444, reverse_line(_59442))], (230 ^ _52099) ^ [_59555, _59557] : [-(line(line_connecting(_59557, _59555))), point(_59557), point(_59555), distinct_points(_59557, _59555)], (244 ^ _52099) ^ [_59943, _59945] : [-(point(intersection_point(_59945, _59943))), line(_59945), line(_59943), unequally_directed_lines(_59945, _59943), unequally_directed_lines(_59945, reverse_line(_59943))], (262 ^ _52099) ^ [_60424, _60426] : [-(line(parallel_through_point(_60426, _60424))), point(_60424), line(_60426)], (272 ^ _52099) ^ [_60709] : [line(_60709), -(line(reverse_line(_60709)))], (278 ^ _52099) ^ [_60913, _60915] : [distinct_points(_60915, _60913), 281 ^ _52099 : [(282 ^ _52099) ^ [] : [apart_point_and_line(_60915, line_connecting(_60915, _60913))], (284 ^ _52099) ^ [] : [apart_point_and_line(_60913, line_connecting(_60915, _60913))]]], (286 ^ _52099) ^ [_61212, _61214] : [293 ^ _52099 : [(294 ^ _52099) ^ [] : [apart_point_and_line(intersection_point(_61214, _61212), _61214)], (296 ^ _52099) ^ [] : [apart_point_and_line(intersection_point(_61214, _61212), _61212)]], unequally_directed_lines(_61214, _61212), unequally_directed_lines(_61214, reverse_line(_61212))], (298 ^ _52099) ^ [_61588, _61590] : [apart_point_and_line(_61590, parallel_through_point(_61588, _61590))], (300 ^ _52099) ^ [_61670] : [distinct_lines(_61670, reverse_line(_61670))], (302 ^ _52099) ^ [_61763, _61765] : [unequally_directed_lines(line_connecting(_61765, _61763), reverse_line(line_connecting(_61763, _61765)))], (304 ^ _52099) ^ [_61864, _61866] : [unequally_directed_lines(parallel_through_point(_61864, _61866), _61864)], (306 ^ _52099) ^ [_62004, _62006, _62008, _62010] : [distinct_points(_62010, _62008), distinct_lines(_62006, _62004), -(left_apart_point(_62010, _62006)), -(left_apart_point(_62008, _62006)), -(left_apart_point(_62010, _62004)), -(left_apart_point(_62008, _62004)), -(left_apart_point(_62010, reverse_line(_62006))), -(left_apart_point(_62008, reverse_line(_62006))), -(left_apart_point(_62010, reverse_line(_62004))), -(left_apart_point(_62008, reverse_line(_62004)))], (344 ^ _52099) ^ [_63041, _63043, _63045] : [distinct_points(_63045, _63043), left_apart_point(_63045, _63041), -(left_apart_point(_63043, _63041)), -(left_convergent_lines(line_connecting(_63045, _63043), _63041))], (358 ^ _52099) ^ [_63466, _63468, _63470] : [left_apart_point(_63470, _63466), -(distinct_points(_63470, _63468)), -(left_apart_point(_63468, _63466))], (382 ^ _52099) ^ [_64193, _64195, _64197] : [left_convergent_lines(_64197, _64195), -(unequally_directed_lines(_64195, _64193)), -(left_convergent_lines(_64197, _64193))], (368 ^ _52099) ^ [_63790, _63792, _63794] : [left_apart_point(_63794, _63792), unequally_directed_lines(_63792, _63790), -(distinct_lines(_63792, _63790)), -(left_apart_point(_63794, reverse_line(_63790)))]], input).
% 0.33/1.37  ncf('1',plain,[left_apart_point(391 ^ [], 393 ^ [])],start(222 ^ 0,bind([[_59235, _59237], [393 ^ [], 391 ^ []]]))).
% 0.33/1.37  ncf('1.1',plain,[-(left_apart_point(391 ^ [], 393 ^ [])), apart_point_and_line(391 ^ [], 393 ^ []), -(left_apart_point(391 ^ [], reverse_line(393 ^ [])))],extension(2 ^ 1,bind([[_52241, _52243], [393 ^ [], 391 ^ []]]))).
% 0.33/1.37  ncf('1.1.1',plain,[-(apart_point_and_line(391 ^ [], 393 ^ []))],extension(395 ^ 2)).
% 0.33/1.37  ncf('1.1.2',plain,[left_apart_point(391 ^ [], reverse_line(393 ^ []))],extension(222 ^ 2,bind([[_59235, _59237], [reverse_line(393 ^ []), 391 ^ []]]))).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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