TSTP Solution File: GEO247+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO247+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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
% 0.00/0.11  % Problem  : GEO247+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n023.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 04:42:58 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.31/1.37  
% 0.31/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.31/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.37  %-----------------------------------------------------
% 0.31/1.37  ncf(matrix, plain, [(398 ^ _54831) ^ [] : [-(left_apart_point(391 ^ [], 395 ^ []))], (400 ^ _54831) ^ [] : [-(left_apart_point(391 ^ [], 396 ^ []))], (402 ^ _54831) ^ [] : [-(left_apart_point(392 ^ [], reverse_line(395 ^ [])))], (404 ^ _54831) ^ [] : [-(left_apart_point(392 ^ [], reverse_line(396 ^ [])))], (406 ^ _54831) ^ [] : [-(left_apart_point(393 ^ [], 395 ^ []))], (408 ^ _54831) ^ [] : [-(left_apart_point(393 ^ [], reverse_line(396 ^ [])))], (410 ^ _54831) ^ [] : [-(left_apart_point(394 ^ [], reverse_line(395 ^ [])))], (412 ^ _54831) ^ [] : [-(left_apart_point(394 ^ [], 396 ^ []))], (414 ^ _54831) ^ [] : [convergent_lines(395 ^ [], 396 ^ [])], (12 ^ _54831) ^ [_55229, _55231] : [13 ^ _54831 : [(14 ^ _54831) ^ [] : [left_apart_point(_55231, _55229)], (16 ^ _54831) ^ [] : [left_apart_point(_55231, reverse_line(_55229))]], -(apart_point_and_line(_55231, _55229))], (2 ^ _54831) ^ [_54973, _54975] : [apart_point_and_line(_54975, _54973), -(left_apart_point(_54975, _54973)), -(left_apart_point(_54975, reverse_line(_54973)))], (20 ^ _54831) ^ [_55548, _55550] : [convergent_lines(_55550, _55548), 23 ^ _54831 : [(24 ^ _54831) ^ [] : [-(unequally_directed_lines(_55550, _55548))], (26 ^ _54831) ^ [] : [-(unequally_directed_lines(_55550, reverse_line(_55548)))]]], (28 ^ _54831) ^ [_55789, _55791] : [-(convergent_lines(_55791, _55789)), unequally_directed_lines(_55791, _55789), unequally_directed_lines(_55791, reverse_line(_55789))], (38 ^ _54831) ^ [_56137, _56139, _56141] : [divides_points(_56137, _56141, _56139), 43 ^ _54831 : [(44 ^ _54831) ^ [] : [-(left_apart_point(_56141, _56137))], (46 ^ _54831) ^ [] : [-(left_apart_point(_56139, reverse_line(_56137)))]], 47 ^ _54831 : [(48 ^ _54831) ^ [] : [-(left_apart_point(_56141, reverse_line(_56137)))], (50 ^ _54831) ^ [] : [-(left_apart_point(_56139, _56137))]]], (52 ^ _54831) ^ [_56563, _56565, _56567] : [-(divides_points(_56563, _56567, _56565)), 53 ^ _54831 : [(54 ^ _54831) ^ [] : [left_apart_point(_56567, _56563), left_apart_point(_56565, reverse_line(_56563))], (60 ^ _54831) ^ [] : [left_apart_point(_56567, reverse_line(_56563)), left_apart_point(_56565, _56563)]]], (68 ^ _54831) ^ [_57096, _57098, _57100] : [before_on_line(_57100, _57098, _57096), 71 ^ _54831 : [(72 ^ _54831) ^ [] : [-(distinct_points(_57098, _57096))], (74 ^ _54831) ^ [] : [left_apart_point(_57098, _57100)], (76 ^ _54831) ^ [] : [left_apart_point(_57098, reverse_line(_57100))], (78 ^ _54831) ^ [] : [left_apart_point(_57096, _57100)], (80 ^ _54831) ^ [] : [left_apart_point(_57096, reverse_line(_57100))], (82 ^ _54831) ^ [] : [unequally_directed_lines(_57100, line_connecting(_57098, _57096))]]], (84 ^ _54831) ^ [_57666, _57668, _57670] : [-(before_on_line(_57670, _57668, _57666)), distinct_points(_57668, _57666), -(left_apart_point(_57668, _57670)), -(left_apart_point(_57668, reverse_line(_57670))), -(unequally_directed_lines(_57670, line_connecting(_57668, _57666))), -(left_apart_point(_57666, _57670)), -(left_apart_point(_57666, reverse_line(_57670)))], (110 ^ _54831) ^ [_58435, _58437, _58439, _58441] : [between_on_line(_58441, _58439, _58437, _58435), 115 ^ _54831 : [(116 ^ _54831) ^ [] : [-(before_on_line(_58441, _58439, _58437))], (118 ^ _54831) ^ [] : [-(before_on_line(_58441, _58437, _58435))]], 119 ^ _54831 : [(120 ^ _54831) ^ [] : [-(before_on_line(_58441, _58435, _58437))], (122 ^ _54831) ^ [] : [-(before_on_line(_58441, _58437, _58439))]]], (124 ^ _54831) ^ [_58877, _58879, _58881, _58883] : [-(between_on_line(_58883, _58881, _58879, _58877)), 125 ^ _54831 : [(126 ^ _54831) ^ [] : [before_on_line(_58883, _58881, _58879), before_on_line(_58883, _58879, _58877)], (132 ^ _54831) ^ [] : [before_on_line(_58883, _58877, _58879), before_on_line(_58883, _58879, _58881)]]], (140 ^ _54831) ^ [_59355] : [distinct_points(_59355, _59355)], (142 ^ _54831) ^ [_59476, _59478, _59480] : [distinct_points(_59480, _59478), -(distinct_points(_59480, _59476)), -(distinct_points(_59478, _59476))], (152 ^ _54831) ^ [_59756] : [distinct_lines(_59756, _59756)], (154 ^ _54831) ^ [_59877, _59879, _59881] : [distinct_lines(_59881, _59879), -(distinct_lines(_59881, _59877)), -(distinct_lines(_59879, _59877))], (164 ^ _54831) ^ [_60157] : [unequally_directed_lines(_60157, _60157)], (166 ^ _54831) ^ [_60278, _60280, _60282] : [unequally_directed_lines(_60282, _60280), -(unequally_directed_lines(_60282, _60278)), -(unequally_directed_lines(_60280, _60278))], (176 ^ _54831) ^ [_60602, _60604, _60606] : [unequally_directed_lines(_60606, _60604), unequally_directed_lines(_60606, reverse_line(_60604)), 185 ^ _54831 : [(186 ^ _54831) ^ [] : [-(unequally_directed_lines(_60606, _60602))], (188 ^ _54831) ^ [] : [-(unequally_directed_lines(_60606, reverse_line(_60602)))]], 189 ^ _54831 : [(190 ^ _54831) ^ [] : [-(unequally_directed_lines(_60604, _60602))], (192 ^ _54831) ^ [] : [-(unequally_directed_lines(_60604, reverse_line(_60602)))]]], (194 ^ _54831) ^ [_61173, _61175] : [line(_61175), line(_61173), -(unequally_directed_lines(_61175, _61173)), -(unequally_directed_lines(_61175, reverse_line(_61173)))], (208 ^ _54831) ^ [_61564, _61566] : [unequally_directed_lines(_61566, _61564), unequally_directed_lines(_61566, reverse_line(_61564)), -(left_convergent_lines(_61566, _61564)), -(left_convergent_lines(_61566, reverse_line(_61564)))], (222 ^ _54831) ^ [_61967, _61969] : [left_apart_point(_61969, _61967)], (224 ^ _54831) ^ [_62012, _62014] : [left_apart_point(_62014, reverse_line(_62012))], (226 ^ _54831) ^ [_62129, _62131] : [left_convergent_lines(_62131, _62129)], (228 ^ _54831) ^ [_62174, _62176] : [left_convergent_lines(_62176, reverse_line(_62174))], (230 ^ _54831) ^ [_62287, _62289] : [-(line(line_connecting(_62289, _62287))), point(_62289), point(_62287), distinct_points(_62289, _62287)], (244 ^ _54831) ^ [_62675, _62677] : [-(point(intersection_point(_62677, _62675))), line(_62677), line(_62675), unequally_directed_lines(_62677, _62675), unequally_directed_lines(_62677, reverse_line(_62675))], (262 ^ _54831) ^ [_63156, _63158] : [-(line(parallel_through_point(_63158, _63156))), point(_63156), line(_63158)], (272 ^ _54831) ^ [_63441] : [line(_63441), -(line(reverse_line(_63441)))], (278 ^ _54831) ^ [_63645, _63647] : [distinct_points(_63647, _63645), 281 ^ _54831 : [(282 ^ _54831) ^ [] : [apart_point_and_line(_63647, line_connecting(_63647, _63645))], (284 ^ _54831) ^ [] : [apart_point_and_line(_63645, line_connecting(_63647, _63645))]]], (286 ^ _54831) ^ [_63944, _63946] : [293 ^ _54831 : [(294 ^ _54831) ^ [] : [apart_point_and_line(intersection_point(_63946, _63944), _63946)], (296 ^ _54831) ^ [] : [apart_point_and_line(intersection_point(_63946, _63944), _63944)]], unequally_directed_lines(_63946, _63944), unequally_directed_lines(_63946, reverse_line(_63944))], (298 ^ _54831) ^ [_64320, _64322] : [apart_point_and_line(_64322, parallel_through_point(_64320, _64322))], (300 ^ _54831) ^ [_64402] : [distinct_lines(_64402, reverse_line(_64402))], (302 ^ _54831) ^ [_64495, _64497] : [unequally_directed_lines(line_connecting(_64497, _64495), reverse_line(line_connecting(_64495, _64497)))], (304 ^ _54831) ^ [_64596, _64598] : [unequally_directed_lines(parallel_through_point(_64596, _64598), _64596)], (306 ^ _54831) ^ [_64736, _64738, _64740, _64742] : [distinct_points(_64742, _64740), distinct_lines(_64738, _64736), -(left_apart_point(_64742, _64738)), -(left_apart_point(_64740, _64738)), -(left_apart_point(_64742, _64736)), -(left_apart_point(_64740, _64736)), -(left_apart_point(_64742, reverse_line(_64738))), -(left_apart_point(_64740, reverse_line(_64738))), -(left_apart_point(_64742, reverse_line(_64736))), -(left_apart_point(_64740, reverse_line(_64736)))], (344 ^ _54831) ^ [_65773, _65775, _65777] : [distinct_points(_65777, _65775), left_apart_point(_65777, _65773), -(left_apart_point(_65775, _65773)), -(left_convergent_lines(line_connecting(_65777, _65775), _65773))], (358 ^ _54831) ^ [_66198, _66200, _66202] : [left_apart_point(_66202, _66198), -(distinct_points(_66202, _66200)), -(left_apart_point(_66200, _66198))], (382 ^ _54831) ^ [_66925, _66927, _66929] : [left_convergent_lines(_66929, _66927), -(unequally_directed_lines(_66927, _66925)), -(left_convergent_lines(_66929, _66925))], (368 ^ _54831) ^ [_66522, _66524, _66526] : [left_apart_point(_66526, _66524), unequally_directed_lines(_66524, _66522), -(distinct_lines(_66524, _66522)), -(left_apart_point(_66526, reverse_line(_66522)))]], input).
% 0.31/1.37  ncf('1',plain,[left_apart_point(391 ^ [], 395 ^ [])],start(222 ^ 0,bind([[_61967, _61969], [395 ^ [], 391 ^ []]]))).
% 0.31/1.37  ncf('1.1',plain,[-(left_apart_point(391 ^ [], 395 ^ []))],extension(398 ^ 1)).
% 0.31/1.37  %-----------------------------------------------------
% 0.31/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------