TSTP Solution File: GEO245+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO245+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 11:12:20 EDT 2023

% Result   : Theorem 0.32s 1.37s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO245+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.32  % Computer : n010.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Fri May 19 04:17:11 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.32/1.37  
% 0.32/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  ncf(matrix, plain, [(439 ^ _55937) ^ [] : [-(distinct_points(435 ^ [], 436 ^ []))], (441 ^ _55937) ^ [] : [-(left_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ [])))], (443 ^ _55937) ^ [] : [right_apart_point(436 ^ [], line_connecting(435 ^ [], 437 ^ []))], (2 ^ _55937) ^ [_56079, _56081] : [unequally_directed_opposite_lines(_56081, _56079), -(unequally_directed_lines(_56081, reverse_line(_56079)))], (8 ^ _55937) ^ [_56245, _56247] : [unequally_directed_lines(_56247, reverse_line(_56245)), -(unequally_directed_opposite_lines(_56247, _56245))], (14 ^ _55937) ^ [_56490, _56492] : [right_apart_point(_56492, _56490), -(left_apart_point(_56492, reverse_line(_56490)))], (20 ^ _55937) ^ [_56656, _56658] : [left_apart_point(_56658, reverse_line(_56656)), -(right_apart_point(_56658, _56656))], (26 ^ _55937) ^ [_56901, _56903] : [right_convergent_lines(_56903, _56901), -(left_convergent_lines(_56903, reverse_line(_56901)))], (32 ^ _55937) ^ [_57067, _57069] : [left_convergent_lines(_57069, reverse_line(_57067)), -(right_convergent_lines(_57069, _57067))], (38 ^ _55937) ^ [_57312, _57314] : [equally_directed_lines(_57314, _57312), unequally_directed_lines(_57314, _57312)], (44 ^ _55937) ^ [_57475, _57477] : [-(unequally_directed_lines(_57477, _57475)), -(equally_directed_lines(_57477, _57475))], (50 ^ _55937) ^ [_57719, _57721] : [equally_directed_opposite_lines(_57721, _57719), unequally_directed_opposite_lines(_57721, _57719)], (56 ^ _55937) ^ [_57882, _57884] : [-(unequally_directed_opposite_lines(_57884, _57882)), -(equally_directed_opposite_lines(_57884, _57882))], (72 ^ _55937) ^ [_58378, _58380] : [73 ^ _55937 : [(74 ^ _55937) ^ [] : [left_apart_point(_58380, _58378)], (76 ^ _55937) ^ [] : [right_apart_point(_58380, _58378)]], -(apart_point_and_line(_58380, _58378))], (62 ^ _55937) ^ [_58126, _58128] : [apart_point_and_line(_58128, _58126), -(left_apart_point(_58128, _58126)), -(right_apart_point(_58128, _58126))], (80 ^ _55937) ^ [_58693, _58695] : [convergent_lines(_58695, _58693), 83 ^ _55937 : [(84 ^ _55937) ^ [] : [-(unequally_directed_lines(_58695, _58693))], (86 ^ _55937) ^ [] : [-(unequally_directed_opposite_lines(_58695, _58693))]]], (88 ^ _55937) ^ [_58930, _58932] : [-(convergent_lines(_58932, _58930)), unequally_directed_lines(_58932, _58930), unequally_directed_opposite_lines(_58932, _58930)], (98 ^ _55937) ^ [_59274, _59276, _59278] : [divides_points(_59274, _59278, _59276), 103 ^ _55937 : [(104 ^ _55937) ^ [] : [-(left_apart_point(_59278, _59274))], (106 ^ _55937) ^ [] : [-(right_apart_point(_59276, _59274))]], 107 ^ _55937 : [(108 ^ _55937) ^ [] : [-(right_apart_point(_59278, _59274))], (110 ^ _55937) ^ [] : [-(left_apart_point(_59276, _59274))]]], (112 ^ _55937) ^ [_59692, _59694, _59696] : [-(divides_points(_59692, _59696, _59694)), 113 ^ _55937 : [(114 ^ _55937) ^ [] : [left_apart_point(_59696, _59692), right_apart_point(_59694, _59692)], (120 ^ _55937) ^ [] : [right_apart_point(_59696, _59692), left_apart_point(_59694, _59692)]]], (128 ^ _55937) ^ [_60217, _60219, _60221] : [before_on_line(_60221, _60219, _60217), 131 ^ _55937 : [(132 ^ _55937) ^ [] : [-(distinct_points(_60219, _60217))], (134 ^ _55937) ^ [] : [-(incident_point_and_line(_60219, _60221))], (136 ^ _55937) ^ [] : [-(incident_point_and_line(_60217, _60221))], (138 ^ _55937) ^ [] : [-(equally_directed_lines(_60221, line_connecting(_60219, _60217)))]]], (140 ^ _55937) ^ [_60622, _60624, _60626] : [-(before_on_line(_60626, _60624, _60622)), distinct_points(_60624, _60622), incident_point_and_line(_60624, _60626), incident_point_and_line(_60622, _60626), equally_directed_lines(_60626, line_connecting(_60624, _60622))], (158 ^ _55937) ^ [_61184, _61186, _61188, _61190] : [between_on_line(_61190, _61188, _61186, _61184), 163 ^ _55937 : [(164 ^ _55937) ^ [] : [-(before_on_line(_61190, _61188, _61186))], (166 ^ _55937) ^ [] : [-(before_on_line(_61190, _61186, _61184))]], 167 ^ _55937 : [(168 ^ _55937) ^ [] : [-(before_on_line(_61190, _61184, _61186))], (170 ^ _55937) ^ [] : [-(before_on_line(_61190, _61186, _61188))]]], (172 ^ _55937) ^ [_61626, _61628, _61630, _61632] : [-(between_on_line(_61632, _61630, _61628, _61626)), 173 ^ _55937 : [(174 ^ _55937) ^ [] : [before_on_line(_61632, _61630, _61628), before_on_line(_61632, _61628, _61626)], (180 ^ _55937) ^ [] : [before_on_line(_61632, _61626, _61628), before_on_line(_61632, _61628, _61630)]]], (188 ^ _55937) ^ [_62104] : [distinct_points(_62104, _62104)], (190 ^ _55937) ^ [_62225, _62227, _62229] : [distinct_points(_62229, _62227), -(distinct_points(_62229, _62225)), -(distinct_points(_62227, _62225))], (200 ^ _55937) ^ [_62505] : [distinct_lines(_62505, _62505)], (202 ^ _55937) ^ [_62626, _62628, _62630] : [distinct_lines(_62630, _62628), -(distinct_lines(_62630, _62626)), -(distinct_lines(_62628, _62626))], (212 ^ _55937) ^ [_62907] : [-(equally_directed_lines(_62907, _62907))], (214 ^ _55937) ^ [_63028, _63030, _63032] : [unequally_directed_lines(_63032, _63030), -(unequally_directed_lines(_63032, _63028)), -(unequally_directed_lines(_63030, _63028))], (224 ^ _55937) ^ [_63352, _63354, _63356] : [unequally_directed_lines(_63356, _63354), unequally_directed_lines(_63356, reverse_line(_63354)), 233 ^ _55937 : [(234 ^ _55937) ^ [] : [-(unequally_directed_lines(_63356, _63352))], (236 ^ _55937) ^ [] : [-(unequally_directed_lines(_63356, reverse_line(_63352)))]], 237 ^ _55937 : [(238 ^ _55937) ^ [] : [-(unequally_directed_lines(_63354, _63352))], (240 ^ _55937) ^ [] : [-(unequally_directed_lines(_63354, reverse_line(_63352)))]]], (242 ^ _55937) ^ [_63923, _63925] : [-(unequally_directed_lines(_63925, _63923)), -(unequally_directed_lines(_63925, reverse_line(_63923)))], (248 ^ _55937) ^ [_64138, _64140] : [unequally_directed_lines(_64140, _64138), unequally_directed_lines(_64140, reverse_line(_64138)), -(left_convergent_lines(_64140, _64138)), -(left_convergent_lines(_64140, reverse_line(_64138)))], (262 ^ _55937) ^ [_64541, _64543] : [left_apart_point(_64543, _64541)], (264 ^ _55937) ^ [_64586, _64588] : [left_apart_point(_64588, reverse_line(_64586))], (266 ^ _55937) ^ [_64703, _64705] : [left_convergent_lines(_64705, _64703)], (268 ^ _55937) ^ [_64748, _64750] : [left_convergent_lines(_64750, reverse_line(_64748))], (270 ^ _55937) ^ [_64861, _64863] : [-(line(line_connecting(_64863, _64861))), point(_64863), point(_64861), distinct_points(_64863, _64861)], (284 ^ _55937) ^ [_65249, _65251] : [-(point(intersection_point(_65251, _65249))), line(_65251), line(_65249), unequally_directed_lines(_65251, _65249), unequally_directed_lines(_65251, reverse_line(_65249))], (302 ^ _55937) ^ [_65730, _65732] : [-(line(parallel_through_point(_65732, _65730))), point(_65730), line(_65732)], (312 ^ _55937) ^ [_66015] : [line(_66015), -(line(reverse_line(_66015)))], (318 ^ _55937) ^ [_66219, _66221] : [distinct_points(_66221, _66219), 321 ^ _55937 : [(322 ^ _55937) ^ [] : [apart_point_and_line(_66221, line_connecting(_66221, _66219))], (324 ^ _55937) ^ [] : [apart_point_and_line(_66219, line_connecting(_66221, _66219))]]], (326 ^ _55937) ^ [_66518, _66520] : [333 ^ _55937 : [(334 ^ _55937) ^ [] : [apart_point_and_line(intersection_point(_66520, _66518), _66520)], (336 ^ _55937) ^ [] : [apart_point_and_line(intersection_point(_66520, _66518), _66518)]], unequally_directed_lines(_66520, _66518), unequally_directed_lines(_66520, reverse_line(_66518))], (338 ^ _55937) ^ [_66894, _66896] : [apart_point_and_line(_66896, parallel_through_point(_66894, _66896))], (340 ^ _55937) ^ [_66976] : [distinct_lines(_66976, reverse_line(_66976))], (342 ^ _55937) ^ [_67085, _67087] : [distinct_points(_67087, _67085), -(equally_directed_lines(line_connecting(_67087, _67085), reverse_line(line_connecting(_67085, _67087))))], (348 ^ _55937) ^ [_67296, _67298] : [-(equally_directed_lines(parallel_through_point(_67296, _67298), _67296))], (350 ^ _55937) ^ [_67436, _67438, _67440, _67442] : [distinct_points(_67442, _67440), distinct_lines(_67438, _67436), -(left_apart_point(_67442, _67438)), -(left_apart_point(_67440, _67438)), -(left_apart_point(_67442, _67436)), -(left_apart_point(_67440, _67436)), -(left_apart_point(_67442, reverse_line(_67438))), -(left_apart_point(_67440, reverse_line(_67438))), -(left_apart_point(_67442, reverse_line(_67436))), -(left_apart_point(_67440, reverse_line(_67436)))], (388 ^ _55937) ^ [_68473, _68475, _68477] : [distinct_points(_68477, _68475), left_apart_point(_68477, _68473), -(left_apart_point(_68475, _68473)), -(left_convergent_lines(line_connecting(_68477, _68475), _68473))], (402 ^ _55937) ^ [_68898, _68900, _68902] : [left_apart_point(_68902, _68898), -(distinct_points(_68902, _68900)), -(left_apart_point(_68900, _68898))], (426 ^ _55937) ^ [_69625, _69627, _69629] : [left_convergent_lines(_69629, _69627), -(unequally_directed_lines(_69627, _69625)), -(left_convergent_lines(_69629, _69625))], (412 ^ _55937) ^ [_69222, _69224, _69226] : [left_apart_point(_69226, _69224), unequally_directed_lines(_69224, _69222), -(distinct_lines(_69224, _69222)), -(left_apart_point(_69226, reverse_line(_69222)))]], input).
% 0.32/1.37  ncf('1',plain,[left_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ []))],start(262 ^ 0,bind([[_64541, _64543], [line_connecting(435 ^ [], 436 ^ []), 437 ^ []]]))).
% 0.32/1.37  ncf('1.1',plain,[-(left_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ [])))],extension(441 ^ 1)).
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------