TSTP Solution File: GEO235+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO235+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 11:12:19 EDT 2023

% Result   : Theorem 0.33s 1.39s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO235+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n026.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 04:31:05 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.33/1.39  
% 0.33/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  ncf(matrix, plain, [(439 ^ _55660) ^ [] : [-(left_apart_point(435 ^ [], 437 ^ []))], (441 ^ _55660) ^ [] : [-(right_apart_point(436 ^ [], 437 ^ []))], (443 ^ _55660) ^ [] : [distinct_points(435 ^ [], 436 ^ [])], (2 ^ _55660) ^ [_55802, _55804] : [unequally_directed_opposite_lines(_55804, _55802), -(unequally_directed_lines(_55804, reverse_line(_55802)))], (8 ^ _55660) ^ [_55968, _55970] : [unequally_directed_lines(_55970, reverse_line(_55968)), -(unequally_directed_opposite_lines(_55970, _55968))], (14 ^ _55660) ^ [_56213, _56215] : [right_apart_point(_56215, _56213), -(left_apart_point(_56215, reverse_line(_56213)))], (20 ^ _55660) ^ [_56379, _56381] : [left_apart_point(_56381, reverse_line(_56379)), -(right_apart_point(_56381, _56379))], (26 ^ _55660) ^ [_56624, _56626] : [right_convergent_lines(_56626, _56624), -(left_convergent_lines(_56626, reverse_line(_56624)))], (32 ^ _55660) ^ [_56790, _56792] : [left_convergent_lines(_56792, reverse_line(_56790)), -(right_convergent_lines(_56792, _56790))], (38 ^ _55660) ^ [_57035, _57037] : [equally_directed_lines(_57037, _57035), unequally_directed_lines(_57037, _57035)], (44 ^ _55660) ^ [_57198, _57200] : [-(unequally_directed_lines(_57200, _57198)), -(equally_directed_lines(_57200, _57198))], (50 ^ _55660) ^ [_57442, _57444] : [equally_directed_opposite_lines(_57444, _57442), unequally_directed_opposite_lines(_57444, _57442)], (56 ^ _55660) ^ [_57605, _57607] : [-(unequally_directed_opposite_lines(_57607, _57605)), -(equally_directed_opposite_lines(_57607, _57605))], (72 ^ _55660) ^ [_58101, _58103] : [73 ^ _55660 : [(74 ^ _55660) ^ [] : [left_apart_point(_58103, _58101)], (76 ^ _55660) ^ [] : [right_apart_point(_58103, _58101)]], -(apart_point_and_line(_58103, _58101))], (62 ^ _55660) ^ [_57849, _57851] : [apart_point_and_line(_57851, _57849), -(left_apart_point(_57851, _57849)), -(right_apart_point(_57851, _57849))], (80 ^ _55660) ^ [_58416, _58418] : [convergent_lines(_58418, _58416), 83 ^ _55660 : [(84 ^ _55660) ^ [] : [-(unequally_directed_lines(_58418, _58416))], (86 ^ _55660) ^ [] : [-(unequally_directed_opposite_lines(_58418, _58416))]]], (88 ^ _55660) ^ [_58653, _58655] : [-(convergent_lines(_58655, _58653)), unequally_directed_lines(_58655, _58653), unequally_directed_opposite_lines(_58655, _58653)], (98 ^ _55660) ^ [_58997, _58999, _59001] : [divides_points(_58997, _59001, _58999), 103 ^ _55660 : [(104 ^ _55660) ^ [] : [-(left_apart_point(_59001, _58997))], (106 ^ _55660) ^ [] : [-(right_apart_point(_58999, _58997))]], 107 ^ _55660 : [(108 ^ _55660) ^ [] : [-(right_apart_point(_59001, _58997))], (110 ^ _55660) ^ [] : [-(left_apart_point(_58999, _58997))]]], (112 ^ _55660) ^ [_59415, _59417, _59419] : [-(divides_points(_59415, _59419, _59417)), 113 ^ _55660 : [(114 ^ _55660) ^ [] : [left_apart_point(_59419, _59415), right_apart_point(_59417, _59415)], (120 ^ _55660) ^ [] : [right_apart_point(_59419, _59415), left_apart_point(_59417, _59415)]]], (128 ^ _55660) ^ [_59940, _59942, _59944] : [before_on_line(_59944, _59942, _59940), 131 ^ _55660 : [(132 ^ _55660) ^ [] : [-(distinct_points(_59942, _59940))], (134 ^ _55660) ^ [] : [-(incident_point_and_line(_59942, _59944))], (136 ^ _55660) ^ [] : [-(incident_point_and_line(_59940, _59944))], (138 ^ _55660) ^ [] : [-(equally_directed_lines(_59944, line_connecting(_59942, _59940)))]]], (140 ^ _55660) ^ [_60345, _60347, _60349] : [-(before_on_line(_60349, _60347, _60345)), distinct_points(_60347, _60345), incident_point_and_line(_60347, _60349), incident_point_and_line(_60345, _60349), equally_directed_lines(_60349, line_connecting(_60347, _60345))], (158 ^ _55660) ^ [_60907, _60909, _60911, _60913] : [between_on_line(_60913, _60911, _60909, _60907), 163 ^ _55660 : [(164 ^ _55660) ^ [] : [-(before_on_line(_60913, _60911, _60909))], (166 ^ _55660) ^ [] : [-(before_on_line(_60913, _60909, _60907))]], 167 ^ _55660 : [(168 ^ _55660) ^ [] : [-(before_on_line(_60913, _60907, _60909))], (170 ^ _55660) ^ [] : [-(before_on_line(_60913, _60909, _60911))]]], (172 ^ _55660) ^ [_61349, _61351, _61353, _61355] : [-(between_on_line(_61355, _61353, _61351, _61349)), 173 ^ _55660 : [(174 ^ _55660) ^ [] : [before_on_line(_61355, _61353, _61351), before_on_line(_61355, _61351, _61349)], (180 ^ _55660) ^ [] : [before_on_line(_61355, _61349, _61351), before_on_line(_61355, _61351, _61353)]]], (188 ^ _55660) ^ [_61827] : [distinct_points(_61827, _61827)], (190 ^ _55660) ^ [_61948, _61950, _61952] : [distinct_points(_61952, _61950), -(distinct_points(_61952, _61948)), -(distinct_points(_61950, _61948))], (200 ^ _55660) ^ [_62228] : [distinct_lines(_62228, _62228)], (202 ^ _55660) ^ [_62349, _62351, _62353] : [distinct_lines(_62353, _62351), -(distinct_lines(_62353, _62349)), -(distinct_lines(_62351, _62349))], (212 ^ _55660) ^ [_62630] : [-(equally_directed_lines(_62630, _62630))], (214 ^ _55660) ^ [_62751, _62753, _62755] : [unequally_directed_lines(_62755, _62753), -(unequally_directed_lines(_62755, _62751)), -(unequally_directed_lines(_62753, _62751))], (224 ^ _55660) ^ [_63075, _63077, _63079] : [unequally_directed_lines(_63079, _63077), unequally_directed_lines(_63079, reverse_line(_63077)), 233 ^ _55660 : [(234 ^ _55660) ^ [] : [-(unequally_directed_lines(_63079, _63075))], (236 ^ _55660) ^ [] : [-(unequally_directed_lines(_63079, reverse_line(_63075)))]], 237 ^ _55660 : [(238 ^ _55660) ^ [] : [-(unequally_directed_lines(_63077, _63075))], (240 ^ _55660) ^ [] : [-(unequally_directed_lines(_63077, reverse_line(_63075)))]]], (242 ^ _55660) ^ [_63646, _63648] : [-(unequally_directed_lines(_63648, _63646)), -(unequally_directed_lines(_63648, reverse_line(_63646)))], (248 ^ _55660) ^ [_63861, _63863] : [unequally_directed_lines(_63863, _63861), unequally_directed_lines(_63863, reverse_line(_63861)), -(left_convergent_lines(_63863, _63861)), -(left_convergent_lines(_63863, reverse_line(_63861)))], (262 ^ _55660) ^ [_64264, _64266] : [left_apart_point(_64266, _64264)], (264 ^ _55660) ^ [_64309, _64311] : [left_apart_point(_64311, reverse_line(_64309))], (266 ^ _55660) ^ [_64426, _64428] : [left_convergent_lines(_64428, _64426)], (268 ^ _55660) ^ [_64471, _64473] : [left_convergent_lines(_64473, reverse_line(_64471))], (270 ^ _55660) ^ [_64584, _64586] : [-(line(line_connecting(_64586, _64584))), point(_64586), point(_64584), distinct_points(_64586, _64584)], (284 ^ _55660) ^ [_64972, _64974] : [-(point(intersection_point(_64974, _64972))), line(_64974), line(_64972), unequally_directed_lines(_64974, _64972), unequally_directed_lines(_64974, reverse_line(_64972))], (302 ^ _55660) ^ [_65453, _65455] : [-(line(parallel_through_point(_65455, _65453))), point(_65453), line(_65455)], (312 ^ _55660) ^ [_65738] : [line(_65738), -(line(reverse_line(_65738)))], (318 ^ _55660) ^ [_65942, _65944] : [distinct_points(_65944, _65942), 321 ^ _55660 : [(322 ^ _55660) ^ [] : [apart_point_and_line(_65944, line_connecting(_65944, _65942))], (324 ^ _55660) ^ [] : [apart_point_and_line(_65942, line_connecting(_65944, _65942))]]], (326 ^ _55660) ^ [_66241, _66243] : [333 ^ _55660 : [(334 ^ _55660) ^ [] : [apart_point_and_line(intersection_point(_66243, _66241), _66243)], (336 ^ _55660) ^ [] : [apart_point_and_line(intersection_point(_66243, _66241), _66241)]], unequally_directed_lines(_66243, _66241), unequally_directed_lines(_66243, reverse_line(_66241))], (338 ^ _55660) ^ [_66617, _66619] : [apart_point_and_line(_66619, parallel_through_point(_66617, _66619))], (340 ^ _55660) ^ [_66699] : [distinct_lines(_66699, reverse_line(_66699))], (342 ^ _55660) ^ [_66808, _66810] : [distinct_points(_66810, _66808), -(equally_directed_lines(line_connecting(_66810, _66808), reverse_line(line_connecting(_66808, _66810))))], (348 ^ _55660) ^ [_67019, _67021] : [-(equally_directed_lines(parallel_through_point(_67019, _67021), _67019))], (350 ^ _55660) ^ [_67159, _67161, _67163, _67165] : [distinct_points(_67165, _67163), distinct_lines(_67161, _67159), -(left_apart_point(_67165, _67161)), -(left_apart_point(_67163, _67161)), -(left_apart_point(_67165, _67159)), -(left_apart_point(_67163, _67159)), -(left_apart_point(_67165, reverse_line(_67161))), -(left_apart_point(_67163, reverse_line(_67161))), -(left_apart_point(_67165, reverse_line(_67159))), -(left_apart_point(_67163, reverse_line(_67159)))], (388 ^ _55660) ^ [_68196, _68198, _68200] : [distinct_points(_68200, _68198), left_apart_point(_68200, _68196), -(left_apart_point(_68198, _68196)), -(left_convergent_lines(line_connecting(_68200, _68198), _68196))], (402 ^ _55660) ^ [_68621, _68623, _68625] : [left_apart_point(_68625, _68621), -(distinct_points(_68625, _68623)), -(left_apart_point(_68623, _68621))], (426 ^ _55660) ^ [_69348, _69350, _69352] : [left_convergent_lines(_69352, _69350), -(unequally_directed_lines(_69350, _69348)), -(left_convergent_lines(_69352, _69348))], (412 ^ _55660) ^ [_68945, _68947, _68949] : [left_apart_point(_68949, _68947), unequally_directed_lines(_68947, _68945), -(distinct_lines(_68947, _68945)), -(left_apart_point(_68949, reverse_line(_68945)))]], input).
% 0.33/1.39  ncf('1',plain,[left_apart_point(435 ^ [], 437 ^ [])],start(262 ^ 0,bind([[_64264, _64266], [437 ^ [], 435 ^ []]]))).
% 0.33/1.39  ncf('1.1',plain,[-(left_apart_point(435 ^ [], 437 ^ []))],extension(439 ^ 1)).
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------