TSTP Solution File: GEO247+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO247+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n004.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 11:12:21 EDT 2023

% Result   : Theorem 0.31s 1.37s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO247+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 03:59:54 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.31/1.37  
% 0.31/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.37  %-----------------------------------------------------
% 0.31/1.37  ncf(matrix, plain, [(442 ^ _58632) ^ [] : [-(left_apart_point(435 ^ [], 439 ^ []))], (444 ^ _58632) ^ [] : [-(left_apart_point(435 ^ [], 440 ^ []))], (446 ^ _58632) ^ [] : [-(right_apart_point(436 ^ [], 439 ^ []))], (448 ^ _58632) ^ [] : [-(right_apart_point(436 ^ [], 440 ^ []))], (450 ^ _58632) ^ [] : [-(left_apart_point(437 ^ [], 439 ^ []))], (452 ^ _58632) ^ [] : [-(right_apart_point(437 ^ [], 440 ^ []))], (454 ^ _58632) ^ [] : [-(right_apart_point(438 ^ [], 439 ^ []))], (456 ^ _58632) ^ [] : [-(left_apart_point(438 ^ [], 440 ^ []))], (458 ^ _58632) ^ [] : [convergent_lines(439 ^ [], 440 ^ [])], (2 ^ _58632) ^ [_58774, _58776] : [unequally_directed_opposite_lines(_58776, _58774), -(unequally_directed_lines(_58776, reverse_line(_58774)))], (8 ^ _58632) ^ [_58940, _58942] : [unequally_directed_lines(_58942, reverse_line(_58940)), -(unequally_directed_opposite_lines(_58942, _58940))], (14 ^ _58632) ^ [_59185, _59187] : [right_apart_point(_59187, _59185), -(left_apart_point(_59187, reverse_line(_59185)))], (20 ^ _58632) ^ [_59351, _59353] : [left_apart_point(_59353, reverse_line(_59351)), -(right_apart_point(_59353, _59351))], (26 ^ _58632) ^ [_59596, _59598] : [right_convergent_lines(_59598, _59596), -(left_convergent_lines(_59598, reverse_line(_59596)))], (32 ^ _58632) ^ [_59762, _59764] : [left_convergent_lines(_59764, reverse_line(_59762)), -(right_convergent_lines(_59764, _59762))], (38 ^ _58632) ^ [_60007, _60009] : [equally_directed_lines(_60009, _60007), unequally_directed_lines(_60009, _60007)], (44 ^ _58632) ^ [_60170, _60172] : [-(unequally_directed_lines(_60172, _60170)), -(equally_directed_lines(_60172, _60170))], (50 ^ _58632) ^ [_60414, _60416] : [equally_directed_opposite_lines(_60416, _60414), unequally_directed_opposite_lines(_60416, _60414)], (56 ^ _58632) ^ [_60577, _60579] : [-(unequally_directed_opposite_lines(_60579, _60577)), -(equally_directed_opposite_lines(_60579, _60577))], (72 ^ _58632) ^ [_61073, _61075] : [73 ^ _58632 : [(74 ^ _58632) ^ [] : [left_apart_point(_61075, _61073)], (76 ^ _58632) ^ [] : [right_apart_point(_61075, _61073)]], -(apart_point_and_line(_61075, _61073))], (62 ^ _58632) ^ [_60821, _60823] : [apart_point_and_line(_60823, _60821), -(left_apart_point(_60823, _60821)), -(right_apart_point(_60823, _60821))], (80 ^ _58632) ^ [_61388, _61390] : [convergent_lines(_61390, _61388), 83 ^ _58632 : [(84 ^ _58632) ^ [] : [-(unequally_directed_lines(_61390, _61388))], (86 ^ _58632) ^ [] : [-(unequally_directed_opposite_lines(_61390, _61388))]]], (88 ^ _58632) ^ [_61625, _61627] : [-(convergent_lines(_61627, _61625)), unequally_directed_lines(_61627, _61625), unequally_directed_opposite_lines(_61627, _61625)], (98 ^ _58632) ^ [_61969, _61971, _61973] : [divides_points(_61969, _61973, _61971), 103 ^ _58632 : [(104 ^ _58632) ^ [] : [-(left_apart_point(_61973, _61969))], (106 ^ _58632) ^ [] : [-(right_apart_point(_61971, _61969))]], 107 ^ _58632 : [(108 ^ _58632) ^ [] : [-(right_apart_point(_61973, _61969))], (110 ^ _58632) ^ [] : [-(left_apart_point(_61971, _61969))]]], (112 ^ _58632) ^ [_62387, _62389, _62391] : [-(divides_points(_62387, _62391, _62389)), 113 ^ _58632 : [(114 ^ _58632) ^ [] : [left_apart_point(_62391, _62387), right_apart_point(_62389, _62387)], (120 ^ _58632) ^ [] : [right_apart_point(_62391, _62387), left_apart_point(_62389, _62387)]]], (128 ^ _58632) ^ [_62912, _62914, _62916] : [before_on_line(_62916, _62914, _62912), 131 ^ _58632 : [(132 ^ _58632) ^ [] : [-(distinct_points(_62914, _62912))], (134 ^ _58632) ^ [] : [-(incident_point_and_line(_62914, _62916))], (136 ^ _58632) ^ [] : [-(incident_point_and_line(_62912, _62916))], (138 ^ _58632) ^ [] : [-(equally_directed_lines(_62916, line_connecting(_62914, _62912)))]]], (140 ^ _58632) ^ [_63317, _63319, _63321] : [-(before_on_line(_63321, _63319, _63317)), distinct_points(_63319, _63317), incident_point_and_line(_63319, _63321), incident_point_and_line(_63317, _63321), equally_directed_lines(_63321, line_connecting(_63319, _63317))], (158 ^ _58632) ^ [_63879, _63881, _63883, _63885] : [between_on_line(_63885, _63883, _63881, _63879), 163 ^ _58632 : [(164 ^ _58632) ^ [] : [-(before_on_line(_63885, _63883, _63881))], (166 ^ _58632) ^ [] : [-(before_on_line(_63885, _63881, _63879))]], 167 ^ _58632 : [(168 ^ _58632) ^ [] : [-(before_on_line(_63885, _63879, _63881))], (170 ^ _58632) ^ [] : [-(before_on_line(_63885, _63881, _63883))]]], (172 ^ _58632) ^ [_64321, _64323, _64325, _64327] : [-(between_on_line(_64327, _64325, _64323, _64321)), 173 ^ _58632 : [(174 ^ _58632) ^ [] : [before_on_line(_64327, _64325, _64323), before_on_line(_64327, _64323, _64321)], (180 ^ _58632) ^ [] : [before_on_line(_64327, _64321, _64323), before_on_line(_64327, _64323, _64325)]]], (188 ^ _58632) ^ [_64799] : [distinct_points(_64799, _64799)], (190 ^ _58632) ^ [_64920, _64922, _64924] : [distinct_points(_64924, _64922), -(distinct_points(_64924, _64920)), -(distinct_points(_64922, _64920))], (200 ^ _58632) ^ [_65200] : [distinct_lines(_65200, _65200)], (202 ^ _58632) ^ [_65321, _65323, _65325] : [distinct_lines(_65325, _65323), -(distinct_lines(_65325, _65321)), -(distinct_lines(_65323, _65321))], (212 ^ _58632) ^ [_65602] : [-(equally_directed_lines(_65602, _65602))], (214 ^ _58632) ^ [_65723, _65725, _65727] : [unequally_directed_lines(_65727, _65725), -(unequally_directed_lines(_65727, _65723)), -(unequally_directed_lines(_65725, _65723))], (224 ^ _58632) ^ [_66047, _66049, _66051] : [unequally_directed_lines(_66051, _66049), unequally_directed_lines(_66051, reverse_line(_66049)), 233 ^ _58632 : [(234 ^ _58632) ^ [] : [-(unequally_directed_lines(_66051, _66047))], (236 ^ _58632) ^ [] : [-(unequally_directed_lines(_66051, reverse_line(_66047)))]], 237 ^ _58632 : [(238 ^ _58632) ^ [] : [-(unequally_directed_lines(_66049, _66047))], (240 ^ _58632) ^ [] : [-(unequally_directed_lines(_66049, reverse_line(_66047)))]]], (242 ^ _58632) ^ [_66618, _66620] : [-(unequally_directed_lines(_66620, _66618)), -(unequally_directed_lines(_66620, reverse_line(_66618)))], (248 ^ _58632) ^ [_66833, _66835] : [unequally_directed_lines(_66835, _66833), unequally_directed_lines(_66835, reverse_line(_66833)), -(left_convergent_lines(_66835, _66833)), -(left_convergent_lines(_66835, reverse_line(_66833)))], (262 ^ _58632) ^ [_67236, _67238] : [left_apart_point(_67238, _67236)], (264 ^ _58632) ^ [_67281, _67283] : [left_apart_point(_67283, reverse_line(_67281))], (266 ^ _58632) ^ [_67398, _67400] : [left_convergent_lines(_67400, _67398)], (268 ^ _58632) ^ [_67443, _67445] : [left_convergent_lines(_67445, reverse_line(_67443))], (270 ^ _58632) ^ [_67556, _67558] : [-(line(line_connecting(_67558, _67556))), point(_67558), point(_67556), distinct_points(_67558, _67556)], (284 ^ _58632) ^ [_67944, _67946] : [-(point(intersection_point(_67946, _67944))), line(_67946), line(_67944), unequally_directed_lines(_67946, _67944), unequally_directed_lines(_67946, reverse_line(_67944))], (302 ^ _58632) ^ [_68425, _68427] : [-(line(parallel_through_point(_68427, _68425))), point(_68425), line(_68427)], (312 ^ _58632) ^ [_68710] : [line(_68710), -(line(reverse_line(_68710)))], (318 ^ _58632) ^ [_68914, _68916] : [distinct_points(_68916, _68914), 321 ^ _58632 : [(322 ^ _58632) ^ [] : [apart_point_and_line(_68916, line_connecting(_68916, _68914))], (324 ^ _58632) ^ [] : [apart_point_and_line(_68914, line_connecting(_68916, _68914))]]], (326 ^ _58632) ^ [_69213, _69215] : [333 ^ _58632 : [(334 ^ _58632) ^ [] : [apart_point_and_line(intersection_point(_69215, _69213), _69215)], (336 ^ _58632) ^ [] : [apart_point_and_line(intersection_point(_69215, _69213), _69213)]], unequally_directed_lines(_69215, _69213), unequally_directed_lines(_69215, reverse_line(_69213))], (338 ^ _58632) ^ [_69589, _69591] : [apart_point_and_line(_69591, parallel_through_point(_69589, _69591))], (340 ^ _58632) ^ [_69671] : [distinct_lines(_69671, reverse_line(_69671))], (342 ^ _58632) ^ [_69780, _69782] : [distinct_points(_69782, _69780), -(equally_directed_lines(line_connecting(_69782, _69780), reverse_line(line_connecting(_69780, _69782))))], (348 ^ _58632) ^ [_69991, _69993] : [-(equally_directed_lines(parallel_through_point(_69991, _69993), _69991))], (350 ^ _58632) ^ [_70131, _70133, _70135, _70137] : [distinct_points(_70137, _70135), distinct_lines(_70133, _70131), -(left_apart_point(_70137, _70133)), -(left_apart_point(_70135, _70133)), -(left_apart_point(_70137, _70131)), -(left_apart_point(_70135, _70131)), -(left_apart_point(_70137, reverse_line(_70133))), -(left_apart_point(_70135, reverse_line(_70133))), -(left_apart_point(_70137, reverse_line(_70131))), -(left_apart_point(_70135, reverse_line(_70131)))], (388 ^ _58632) ^ [_71168, _71170, _71172] : [distinct_points(_71172, _71170), left_apart_point(_71172, _71168), -(left_apart_point(_71170, _71168)), -(left_convergent_lines(line_connecting(_71172, _71170), _71168))], (402 ^ _58632) ^ [_71593, _71595, _71597] : [left_apart_point(_71597, _71593), -(distinct_points(_71597, _71595)), -(left_apart_point(_71595, _71593))], (426 ^ _58632) ^ [_72320, _72322, _72324] : [left_convergent_lines(_72324, _72322), -(unequally_directed_lines(_72322, _72320)), -(left_convergent_lines(_72324, _72320))], (412 ^ _58632) ^ [_71917, _71919, _71921] : [left_apart_point(_71921, _71919), unequally_directed_lines(_71919, _71917), -(distinct_lines(_71919, _71917)), -(left_apart_point(_71921, reverse_line(_71917)))]], input).
% 0.31/1.37  ncf('1',plain,[left_apart_point(435 ^ [], 439 ^ [])],start(262 ^ 0,bind([[_67236, _67238], [439 ^ [], 435 ^ []]]))).
% 0.31/1.37  ncf('1.1',plain,[-(left_apart_point(435 ^ [], 439 ^ []))],extension(442 ^ 1)).
% 0.31/1.37  %-----------------------------------------------------
% 0.31/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------