TSTP Solution File: GEO264+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO264+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n013.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 11:12:23 EDT 2023

% Result   : Theorem 0.32s 1.38s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : GEO264+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 04:27:35 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.32/1.38  
% 0.32/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  ncf(matrix, plain, [(440 ^ _56757) ^ [] : [-(left_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ [])))], (442 ^ _56757) ^ [] : [-(right_apart_point(438 ^ [], line_connecting(436 ^ [], 437 ^ [])))], (444 ^ _56757) ^ [] : [-(right_apart_point(438 ^ [], line_connecting(437 ^ [], 435 ^ [])))], (446 ^ _56757) ^ [] : [left_apart_point(438 ^ [], line_connecting(435 ^ [], 436 ^ []))], (2 ^ _56757) ^ [_56899, _56901] : [unequally_directed_opposite_lines(_56901, _56899), -(unequally_directed_lines(_56901, reverse_line(_56899)))], (8 ^ _56757) ^ [_57065, _57067] : [unequally_directed_lines(_57067, reverse_line(_57065)), -(unequally_directed_opposite_lines(_57067, _57065))], (14 ^ _56757) ^ [_57310, _57312] : [right_apart_point(_57312, _57310), -(left_apart_point(_57312, reverse_line(_57310)))], (20 ^ _56757) ^ [_57476, _57478] : [left_apart_point(_57478, reverse_line(_57476)), -(right_apart_point(_57478, _57476))], (26 ^ _56757) ^ [_57721, _57723] : [right_convergent_lines(_57723, _57721), -(left_convergent_lines(_57723, reverse_line(_57721)))], (32 ^ _56757) ^ [_57887, _57889] : [left_convergent_lines(_57889, reverse_line(_57887)), -(right_convergent_lines(_57889, _57887))], (38 ^ _56757) ^ [_58132, _58134] : [equally_directed_lines(_58134, _58132), unequally_directed_lines(_58134, _58132)], (44 ^ _56757) ^ [_58295, _58297] : [-(unequally_directed_lines(_58297, _58295)), -(equally_directed_lines(_58297, _58295))], (50 ^ _56757) ^ [_58539, _58541] : [equally_directed_opposite_lines(_58541, _58539), unequally_directed_opposite_lines(_58541, _58539)], (56 ^ _56757) ^ [_58702, _58704] : [-(unequally_directed_opposite_lines(_58704, _58702)), -(equally_directed_opposite_lines(_58704, _58702))], (72 ^ _56757) ^ [_59198, _59200] : [73 ^ _56757 : [(74 ^ _56757) ^ [] : [left_apart_point(_59200, _59198)], (76 ^ _56757) ^ [] : [right_apart_point(_59200, _59198)]], -(apart_point_and_line(_59200, _59198))], (62 ^ _56757) ^ [_58946, _58948] : [apart_point_and_line(_58948, _58946), -(left_apart_point(_58948, _58946)), -(right_apart_point(_58948, _58946))], (80 ^ _56757) ^ [_59513, _59515] : [convergent_lines(_59515, _59513), 83 ^ _56757 : [(84 ^ _56757) ^ [] : [-(unequally_directed_lines(_59515, _59513))], (86 ^ _56757) ^ [] : [-(unequally_directed_opposite_lines(_59515, _59513))]]], (88 ^ _56757) ^ [_59750, _59752] : [-(convergent_lines(_59752, _59750)), unequally_directed_lines(_59752, _59750), unequally_directed_opposite_lines(_59752, _59750)], (98 ^ _56757) ^ [_60094, _60096, _60098] : [divides_points(_60094, _60098, _60096), 103 ^ _56757 : [(104 ^ _56757) ^ [] : [-(left_apart_point(_60098, _60094))], (106 ^ _56757) ^ [] : [-(right_apart_point(_60096, _60094))]], 107 ^ _56757 : [(108 ^ _56757) ^ [] : [-(right_apart_point(_60098, _60094))], (110 ^ _56757) ^ [] : [-(left_apart_point(_60096, _60094))]]], (112 ^ _56757) ^ [_60512, _60514, _60516] : [-(divides_points(_60512, _60516, _60514)), 113 ^ _56757 : [(114 ^ _56757) ^ [] : [left_apart_point(_60516, _60512), right_apart_point(_60514, _60512)], (120 ^ _56757) ^ [] : [right_apart_point(_60516, _60512), left_apart_point(_60514, _60512)]]], (128 ^ _56757) ^ [_61037, _61039, _61041] : [before_on_line(_61041, _61039, _61037), 131 ^ _56757 : [(132 ^ _56757) ^ [] : [-(distinct_points(_61039, _61037))], (134 ^ _56757) ^ [] : [-(incident_point_and_line(_61039, _61041))], (136 ^ _56757) ^ [] : [-(incident_point_and_line(_61037, _61041))], (138 ^ _56757) ^ [] : [-(equally_directed_lines(_61041, line_connecting(_61039, _61037)))]]], (140 ^ _56757) ^ [_61442, _61444, _61446] : [-(before_on_line(_61446, _61444, _61442)), distinct_points(_61444, _61442), incident_point_and_line(_61444, _61446), incident_point_and_line(_61442, _61446), equally_directed_lines(_61446, line_connecting(_61444, _61442))], (158 ^ _56757) ^ [_62004, _62006, _62008, _62010] : [between_on_line(_62010, _62008, _62006, _62004), 163 ^ _56757 : [(164 ^ _56757) ^ [] : [-(before_on_line(_62010, _62008, _62006))], (166 ^ _56757) ^ [] : [-(before_on_line(_62010, _62006, _62004))]], 167 ^ _56757 : [(168 ^ _56757) ^ [] : [-(before_on_line(_62010, _62004, _62006))], (170 ^ _56757) ^ [] : [-(before_on_line(_62010, _62006, _62008))]]], (172 ^ _56757) ^ [_62446, _62448, _62450, _62452] : [-(between_on_line(_62452, _62450, _62448, _62446)), 173 ^ _56757 : [(174 ^ _56757) ^ [] : [before_on_line(_62452, _62450, _62448), before_on_line(_62452, _62448, _62446)], (180 ^ _56757) ^ [] : [before_on_line(_62452, _62446, _62448), before_on_line(_62452, _62448, _62450)]]], (188 ^ _56757) ^ [_62924] : [distinct_points(_62924, _62924)], (190 ^ _56757) ^ [_63045, _63047, _63049] : [distinct_points(_63049, _63047), -(distinct_points(_63049, _63045)), -(distinct_points(_63047, _63045))], (200 ^ _56757) ^ [_63325] : [distinct_lines(_63325, _63325)], (202 ^ _56757) ^ [_63446, _63448, _63450] : [distinct_lines(_63450, _63448), -(distinct_lines(_63450, _63446)), -(distinct_lines(_63448, _63446))], (212 ^ _56757) ^ [_63727] : [-(equally_directed_lines(_63727, _63727))], (214 ^ _56757) ^ [_63848, _63850, _63852] : [unequally_directed_lines(_63852, _63850), -(unequally_directed_lines(_63852, _63848)), -(unequally_directed_lines(_63850, _63848))], (224 ^ _56757) ^ [_64172, _64174, _64176] : [unequally_directed_lines(_64176, _64174), unequally_directed_lines(_64176, reverse_line(_64174)), 233 ^ _56757 : [(234 ^ _56757) ^ [] : [-(unequally_directed_lines(_64176, _64172))], (236 ^ _56757) ^ [] : [-(unequally_directed_lines(_64176, reverse_line(_64172)))]], 237 ^ _56757 : [(238 ^ _56757) ^ [] : [-(unequally_directed_lines(_64174, _64172))], (240 ^ _56757) ^ [] : [-(unequally_directed_lines(_64174, reverse_line(_64172)))]]], (242 ^ _56757) ^ [_64743, _64745] : [-(unequally_directed_lines(_64745, _64743)), -(unequally_directed_lines(_64745, reverse_line(_64743)))], (248 ^ _56757) ^ [_64958, _64960] : [unequally_directed_lines(_64960, _64958), unequally_directed_lines(_64960, reverse_line(_64958)), -(left_convergent_lines(_64960, _64958)), -(left_convergent_lines(_64960, reverse_line(_64958)))], (262 ^ _56757) ^ [_65361, _65363] : [left_apart_point(_65363, _65361)], (264 ^ _56757) ^ [_65406, _65408] : [left_apart_point(_65408, reverse_line(_65406))], (266 ^ _56757) ^ [_65523, _65525] : [left_convergent_lines(_65525, _65523)], (268 ^ _56757) ^ [_65568, _65570] : [left_convergent_lines(_65570, reverse_line(_65568))], (270 ^ _56757) ^ [_65681, _65683] : [-(line(line_connecting(_65683, _65681))), point(_65683), point(_65681), distinct_points(_65683, _65681)], (284 ^ _56757) ^ [_66069, _66071] : [-(point(intersection_point(_66071, _66069))), line(_66071), line(_66069), unequally_directed_lines(_66071, _66069), unequally_directed_lines(_66071, reverse_line(_66069))], (302 ^ _56757) ^ [_66550, _66552] : [-(line(parallel_through_point(_66552, _66550))), point(_66550), line(_66552)], (312 ^ _56757) ^ [_66835] : [line(_66835), -(line(reverse_line(_66835)))], (318 ^ _56757) ^ [_67039, _67041] : [distinct_points(_67041, _67039), 321 ^ _56757 : [(322 ^ _56757) ^ [] : [apart_point_and_line(_67041, line_connecting(_67041, _67039))], (324 ^ _56757) ^ [] : [apart_point_and_line(_67039, line_connecting(_67041, _67039))]]], (326 ^ _56757) ^ [_67338, _67340] : [333 ^ _56757 : [(334 ^ _56757) ^ [] : [apart_point_and_line(intersection_point(_67340, _67338), _67340)], (336 ^ _56757) ^ [] : [apart_point_and_line(intersection_point(_67340, _67338), _67338)]], unequally_directed_lines(_67340, _67338), unequally_directed_lines(_67340, reverse_line(_67338))], (338 ^ _56757) ^ [_67714, _67716] : [apart_point_and_line(_67716, parallel_through_point(_67714, _67716))], (340 ^ _56757) ^ [_67796] : [distinct_lines(_67796, reverse_line(_67796))], (342 ^ _56757) ^ [_67905, _67907] : [distinct_points(_67907, _67905), -(equally_directed_lines(line_connecting(_67907, _67905), reverse_line(line_connecting(_67905, _67907))))], (348 ^ _56757) ^ [_68116, _68118] : [-(equally_directed_lines(parallel_through_point(_68116, _68118), _68116))], (350 ^ _56757) ^ [_68256, _68258, _68260, _68262] : [distinct_points(_68262, _68260), distinct_lines(_68258, _68256), -(left_apart_point(_68262, _68258)), -(left_apart_point(_68260, _68258)), -(left_apart_point(_68262, _68256)), -(left_apart_point(_68260, _68256)), -(left_apart_point(_68262, reverse_line(_68258))), -(left_apart_point(_68260, reverse_line(_68258))), -(left_apart_point(_68262, reverse_line(_68256))), -(left_apart_point(_68260, reverse_line(_68256)))], (388 ^ _56757) ^ [_69293, _69295, _69297] : [distinct_points(_69297, _69295), left_apart_point(_69297, _69293), -(left_apart_point(_69295, _69293)), -(left_convergent_lines(line_connecting(_69297, _69295), _69293))], (402 ^ _56757) ^ [_69718, _69720, _69722] : [left_apart_point(_69722, _69718), -(distinct_points(_69722, _69720)), -(left_apart_point(_69720, _69718))], (426 ^ _56757) ^ [_70445, _70447, _70449] : [left_convergent_lines(_70449, _70447), -(unequally_directed_lines(_70447, _70445)), -(left_convergent_lines(_70449, _70445))], (412 ^ _56757) ^ [_70042, _70044, _70046] : [left_apart_point(_70046, _70044), unequally_directed_lines(_70044, _70042), -(distinct_lines(_70044, _70042)), -(left_apart_point(_70046, reverse_line(_70042)))]], input).
% 0.32/1.38  ncf('1',plain,[left_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ []))],start(262 ^ 0,bind([[_65361, _65363], [line_connecting(435 ^ [], 436 ^ []), 437 ^ []]]))).
% 0.32/1.38  ncf('1.1',plain,[-(left_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ [])))],extension(440 ^ 1)).
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------