TSTP Solution File: GEO249+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO249+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n008.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 0.35s 1.38s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO249+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n008.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 04:05:54 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.35/1.38  
% 0.35/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.38  %-----------------------------------------------------
% 0.35/1.38  ncf(matrix, plain, [(439 ^ _55898) ^ [] : [-(right_apart_point(435 ^ [], 437 ^ []))], (441 ^ _55898) ^ [] : [-(right_apart_point(436 ^ [], parallel_through_point(437 ^ [], 435 ^ [])))], (443 ^ _55898) ^ [] : [right_apart_point(436 ^ [], 437 ^ [])], (2 ^ _55898) ^ [_56040, _56042] : [unequally_directed_opposite_lines(_56042, _56040), -(unequally_directed_lines(_56042, reverse_line(_56040)))], (8 ^ _55898) ^ [_56206, _56208] : [unequally_directed_lines(_56208, reverse_line(_56206)), -(unequally_directed_opposite_lines(_56208, _56206))], (14 ^ _55898) ^ [_56451, _56453] : [right_apart_point(_56453, _56451), -(left_apart_point(_56453, reverse_line(_56451)))], (20 ^ _55898) ^ [_56617, _56619] : [left_apart_point(_56619, reverse_line(_56617)), -(right_apart_point(_56619, _56617))], (26 ^ _55898) ^ [_56862, _56864] : [right_convergent_lines(_56864, _56862), -(left_convergent_lines(_56864, reverse_line(_56862)))], (32 ^ _55898) ^ [_57028, _57030] : [left_convergent_lines(_57030, reverse_line(_57028)), -(right_convergent_lines(_57030, _57028))], (38 ^ _55898) ^ [_57273, _57275] : [equally_directed_lines(_57275, _57273), unequally_directed_lines(_57275, _57273)], (44 ^ _55898) ^ [_57436, _57438] : [-(unequally_directed_lines(_57438, _57436)), -(equally_directed_lines(_57438, _57436))], (50 ^ _55898) ^ [_57680, _57682] : [equally_directed_opposite_lines(_57682, _57680), unequally_directed_opposite_lines(_57682, _57680)], (56 ^ _55898) ^ [_57843, _57845] : [-(unequally_directed_opposite_lines(_57845, _57843)), -(equally_directed_opposite_lines(_57845, _57843))], (72 ^ _55898) ^ [_58339, _58341] : [73 ^ _55898 : [(74 ^ _55898) ^ [] : [left_apart_point(_58341, _58339)], (76 ^ _55898) ^ [] : [right_apart_point(_58341, _58339)]], -(apart_point_and_line(_58341, _58339))], (62 ^ _55898) ^ [_58087, _58089] : [apart_point_and_line(_58089, _58087), -(left_apart_point(_58089, _58087)), -(right_apart_point(_58089, _58087))], (80 ^ _55898) ^ [_58654, _58656] : [convergent_lines(_58656, _58654), 83 ^ _55898 : [(84 ^ _55898) ^ [] : [-(unequally_directed_lines(_58656, _58654))], (86 ^ _55898) ^ [] : [-(unequally_directed_opposite_lines(_58656, _58654))]]], (88 ^ _55898) ^ [_58891, _58893] : [-(convergent_lines(_58893, _58891)), unequally_directed_lines(_58893, _58891), unequally_directed_opposite_lines(_58893, _58891)], (98 ^ _55898) ^ [_59235, _59237, _59239] : [divides_points(_59235, _59239, _59237), 103 ^ _55898 : [(104 ^ _55898) ^ [] : [-(left_apart_point(_59239, _59235))], (106 ^ _55898) ^ [] : [-(right_apart_point(_59237, _59235))]], 107 ^ _55898 : [(108 ^ _55898) ^ [] : [-(right_apart_point(_59239, _59235))], (110 ^ _55898) ^ [] : [-(left_apart_point(_59237, _59235))]]], (112 ^ _55898) ^ [_59653, _59655, _59657] : [-(divides_points(_59653, _59657, _59655)), 113 ^ _55898 : [(114 ^ _55898) ^ [] : [left_apart_point(_59657, _59653), right_apart_point(_59655, _59653)], (120 ^ _55898) ^ [] : [right_apart_point(_59657, _59653), left_apart_point(_59655, _59653)]]], (128 ^ _55898) ^ [_60178, _60180, _60182] : [before_on_line(_60182, _60180, _60178), 131 ^ _55898 : [(132 ^ _55898) ^ [] : [-(distinct_points(_60180, _60178))], (134 ^ _55898) ^ [] : [-(incident_point_and_line(_60180, _60182))], (136 ^ _55898) ^ [] : [-(incident_point_and_line(_60178, _60182))], (138 ^ _55898) ^ [] : [-(equally_directed_lines(_60182, line_connecting(_60180, _60178)))]]], (140 ^ _55898) ^ [_60583, _60585, _60587] : [-(before_on_line(_60587, _60585, _60583)), distinct_points(_60585, _60583), incident_point_and_line(_60585, _60587), incident_point_and_line(_60583, _60587), equally_directed_lines(_60587, line_connecting(_60585, _60583))], (158 ^ _55898) ^ [_61145, _61147, _61149, _61151] : [between_on_line(_61151, _61149, _61147, _61145), 163 ^ _55898 : [(164 ^ _55898) ^ [] : [-(before_on_line(_61151, _61149, _61147))], (166 ^ _55898) ^ [] : [-(before_on_line(_61151, _61147, _61145))]], 167 ^ _55898 : [(168 ^ _55898) ^ [] : [-(before_on_line(_61151, _61145, _61147))], (170 ^ _55898) ^ [] : [-(before_on_line(_61151, _61147, _61149))]]], (172 ^ _55898) ^ [_61587, _61589, _61591, _61593] : [-(between_on_line(_61593, _61591, _61589, _61587)), 173 ^ _55898 : [(174 ^ _55898) ^ [] : [before_on_line(_61593, _61591, _61589), before_on_line(_61593, _61589, _61587)], (180 ^ _55898) ^ [] : [before_on_line(_61593, _61587, _61589), before_on_line(_61593, _61589, _61591)]]], (188 ^ _55898) ^ [_62065] : [distinct_points(_62065, _62065)], (190 ^ _55898) ^ [_62186, _62188, _62190] : [distinct_points(_62190, _62188), -(distinct_points(_62190, _62186)), -(distinct_points(_62188, _62186))], (200 ^ _55898) ^ [_62466] : [distinct_lines(_62466, _62466)], (202 ^ _55898) ^ [_62587, _62589, _62591] : [distinct_lines(_62591, _62589), -(distinct_lines(_62591, _62587)), -(distinct_lines(_62589, _62587))], (212 ^ _55898) ^ [_62868] : [-(equally_directed_lines(_62868, _62868))], (214 ^ _55898) ^ [_62989, _62991, _62993] : [unequally_directed_lines(_62993, _62991), -(unequally_directed_lines(_62993, _62989)), -(unequally_directed_lines(_62991, _62989))], (224 ^ _55898) ^ [_63313, _63315, _63317] : [unequally_directed_lines(_63317, _63315), unequally_directed_lines(_63317, reverse_line(_63315)), 233 ^ _55898 : [(234 ^ _55898) ^ [] : [-(unequally_directed_lines(_63317, _63313))], (236 ^ _55898) ^ [] : [-(unequally_directed_lines(_63317, reverse_line(_63313)))]], 237 ^ _55898 : [(238 ^ _55898) ^ [] : [-(unequally_directed_lines(_63315, _63313))], (240 ^ _55898) ^ [] : [-(unequally_directed_lines(_63315, reverse_line(_63313)))]]], (242 ^ _55898) ^ [_63884, _63886] : [-(unequally_directed_lines(_63886, _63884)), -(unequally_directed_lines(_63886, reverse_line(_63884)))], (248 ^ _55898) ^ [_64099, _64101] : [unequally_directed_lines(_64101, _64099), unequally_directed_lines(_64101, reverse_line(_64099)), -(left_convergent_lines(_64101, _64099)), -(left_convergent_lines(_64101, reverse_line(_64099)))], (262 ^ _55898) ^ [_64502, _64504] : [left_apart_point(_64504, _64502)], (264 ^ _55898) ^ [_64547, _64549] : [left_apart_point(_64549, reverse_line(_64547))], (266 ^ _55898) ^ [_64664, _64666] : [left_convergent_lines(_64666, _64664)], (268 ^ _55898) ^ [_64709, _64711] : [left_convergent_lines(_64711, reverse_line(_64709))], (270 ^ _55898) ^ [_64822, _64824] : [-(line(line_connecting(_64824, _64822))), point(_64824), point(_64822), distinct_points(_64824, _64822)], (284 ^ _55898) ^ [_65210, _65212] : [-(point(intersection_point(_65212, _65210))), line(_65212), line(_65210), unequally_directed_lines(_65212, _65210), unequally_directed_lines(_65212, reverse_line(_65210))], (302 ^ _55898) ^ [_65691, _65693] : [-(line(parallel_through_point(_65693, _65691))), point(_65691), line(_65693)], (312 ^ _55898) ^ [_65976] : [line(_65976), -(line(reverse_line(_65976)))], (318 ^ _55898) ^ [_66180, _66182] : [distinct_points(_66182, _66180), 321 ^ _55898 : [(322 ^ _55898) ^ [] : [apart_point_and_line(_66182, line_connecting(_66182, _66180))], (324 ^ _55898) ^ [] : [apart_point_and_line(_66180, line_connecting(_66182, _66180))]]], (326 ^ _55898) ^ [_66479, _66481] : [333 ^ _55898 : [(334 ^ _55898) ^ [] : [apart_point_and_line(intersection_point(_66481, _66479), _66481)], (336 ^ _55898) ^ [] : [apart_point_and_line(intersection_point(_66481, _66479), _66479)]], unequally_directed_lines(_66481, _66479), unequally_directed_lines(_66481, reverse_line(_66479))], (338 ^ _55898) ^ [_66855, _66857] : [apart_point_and_line(_66857, parallel_through_point(_66855, _66857))], (340 ^ _55898) ^ [_66937] : [distinct_lines(_66937, reverse_line(_66937))], (342 ^ _55898) ^ [_67046, _67048] : [distinct_points(_67048, _67046), -(equally_directed_lines(line_connecting(_67048, _67046), reverse_line(line_connecting(_67046, _67048))))], (348 ^ _55898) ^ [_67257, _67259] : [-(equally_directed_lines(parallel_through_point(_67257, _67259), _67257))], (350 ^ _55898) ^ [_67397, _67399, _67401, _67403] : [distinct_points(_67403, _67401), distinct_lines(_67399, _67397), -(left_apart_point(_67403, _67399)), -(left_apart_point(_67401, _67399)), -(left_apart_point(_67403, _67397)), -(left_apart_point(_67401, _67397)), -(left_apart_point(_67403, reverse_line(_67399))), -(left_apart_point(_67401, reverse_line(_67399))), -(left_apart_point(_67403, reverse_line(_67397))), -(left_apart_point(_67401, reverse_line(_67397)))], (388 ^ _55898) ^ [_68434, _68436, _68438] : [distinct_points(_68438, _68436), left_apart_point(_68438, _68434), -(left_apart_point(_68436, _68434)), -(left_convergent_lines(line_connecting(_68438, _68436), _68434))], (402 ^ _55898) ^ [_68859, _68861, _68863] : [left_apart_point(_68863, _68859), -(distinct_points(_68863, _68861)), -(left_apart_point(_68861, _68859))], (426 ^ _55898) ^ [_69586, _69588, _69590] : [left_convergent_lines(_69590, _69588), -(unequally_directed_lines(_69588, _69586)), -(left_convergent_lines(_69590, _69586))], (412 ^ _55898) ^ [_69183, _69185, _69187] : [left_apart_point(_69187, _69185), unequally_directed_lines(_69185, _69183), -(distinct_lines(_69185, _69183)), -(left_apart_point(_69187, reverse_line(_69183)))]], input).
% 0.35/1.39  ncf('1',plain,[left_apart_point(435 ^ [], reverse_line(437 ^ []))],start(262 ^ 0,bind([[_64502, _64504], [reverse_line(437 ^ []), 435 ^ []]]))).
% 0.35/1.39  ncf('1.1',plain,[-(left_apart_point(435 ^ [], reverse_line(437 ^ []))), right_apart_point(435 ^ [], 437 ^ [])],extension(14 ^ 1,bind([[_56451, _56453], [437 ^ [], 435 ^ []]]))).
% 0.35/1.39  ncf('1.1.1',plain,[-(right_apart_point(435 ^ [], 437 ^ []))],extension(439 ^ 2)).
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------