TSTP Solution File: GEO239+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO239+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 0.31s 1.37s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO239+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.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 04:41:00 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, [(439 ^ _55781) ^ [] : [-(incident_point_and_line(435 ^ [], 437 ^ []))], (441 ^ _55781) ^ [] : [-(left_apart_point(436 ^ [], 437 ^ []))], (443 ^ _55781) ^ [] : [left_convergent_lines(437 ^ [], line_connecting(435 ^ [], 436 ^ []))], (2 ^ _55781) ^ [_55923, _55925] : [unequally_directed_opposite_lines(_55925, _55923), -(unequally_directed_lines(_55925, reverse_line(_55923)))], (8 ^ _55781) ^ [_56089, _56091] : [unequally_directed_lines(_56091, reverse_line(_56089)), -(unequally_directed_opposite_lines(_56091, _56089))], (14 ^ _55781) ^ [_56334, _56336] : [right_apart_point(_56336, _56334), -(left_apart_point(_56336, reverse_line(_56334)))], (20 ^ _55781) ^ [_56500, _56502] : [left_apart_point(_56502, reverse_line(_56500)), -(right_apart_point(_56502, _56500))], (26 ^ _55781) ^ [_56745, _56747] : [right_convergent_lines(_56747, _56745), -(left_convergent_lines(_56747, reverse_line(_56745)))], (32 ^ _55781) ^ [_56911, _56913] : [left_convergent_lines(_56913, reverse_line(_56911)), -(right_convergent_lines(_56913, _56911))], (38 ^ _55781) ^ [_57156, _57158] : [equally_directed_lines(_57158, _57156), unequally_directed_lines(_57158, _57156)], (44 ^ _55781) ^ [_57319, _57321] : [-(unequally_directed_lines(_57321, _57319)), -(equally_directed_lines(_57321, _57319))], (50 ^ _55781) ^ [_57563, _57565] : [equally_directed_opposite_lines(_57565, _57563), unequally_directed_opposite_lines(_57565, _57563)], (56 ^ _55781) ^ [_57726, _57728] : [-(unequally_directed_opposite_lines(_57728, _57726)), -(equally_directed_opposite_lines(_57728, _57726))], (72 ^ _55781) ^ [_58222, _58224] : [73 ^ _55781 : [(74 ^ _55781) ^ [] : [left_apart_point(_58224, _58222)], (76 ^ _55781) ^ [] : [right_apart_point(_58224, _58222)]], -(apart_point_and_line(_58224, _58222))], (62 ^ _55781) ^ [_57970, _57972] : [apart_point_and_line(_57972, _57970), -(left_apart_point(_57972, _57970)), -(right_apart_point(_57972, _57970))], (80 ^ _55781) ^ [_58537, _58539] : [convergent_lines(_58539, _58537), 83 ^ _55781 : [(84 ^ _55781) ^ [] : [-(unequally_directed_lines(_58539, _58537))], (86 ^ _55781) ^ [] : [-(unequally_directed_opposite_lines(_58539, _58537))]]], (88 ^ _55781) ^ [_58774, _58776] : [-(convergent_lines(_58776, _58774)), unequally_directed_lines(_58776, _58774), unequally_directed_opposite_lines(_58776, _58774)], (98 ^ _55781) ^ [_59118, _59120, _59122] : [divides_points(_59118, _59122, _59120), 103 ^ _55781 : [(104 ^ _55781) ^ [] : [-(left_apart_point(_59122, _59118))], (106 ^ _55781) ^ [] : [-(right_apart_point(_59120, _59118))]], 107 ^ _55781 : [(108 ^ _55781) ^ [] : [-(right_apart_point(_59122, _59118))], (110 ^ _55781) ^ [] : [-(left_apart_point(_59120, _59118))]]], (112 ^ _55781) ^ [_59536, _59538, _59540] : [-(divides_points(_59536, _59540, _59538)), 113 ^ _55781 : [(114 ^ _55781) ^ [] : [left_apart_point(_59540, _59536), right_apart_point(_59538, _59536)], (120 ^ _55781) ^ [] : [right_apart_point(_59540, _59536), left_apart_point(_59538, _59536)]]], (128 ^ _55781) ^ [_60061, _60063, _60065] : [before_on_line(_60065, _60063, _60061), 131 ^ _55781 : [(132 ^ _55781) ^ [] : [-(distinct_points(_60063, _60061))], (134 ^ _55781) ^ [] : [-(incident_point_and_line(_60063, _60065))], (136 ^ _55781) ^ [] : [-(incident_point_and_line(_60061, _60065))], (138 ^ _55781) ^ [] : [-(equally_directed_lines(_60065, line_connecting(_60063, _60061)))]]], (140 ^ _55781) ^ [_60466, _60468, _60470] : [-(before_on_line(_60470, _60468, _60466)), distinct_points(_60468, _60466), incident_point_and_line(_60468, _60470), incident_point_and_line(_60466, _60470), equally_directed_lines(_60470, line_connecting(_60468, _60466))], (158 ^ _55781) ^ [_61028, _61030, _61032, _61034] : [between_on_line(_61034, _61032, _61030, _61028), 163 ^ _55781 : [(164 ^ _55781) ^ [] : [-(before_on_line(_61034, _61032, _61030))], (166 ^ _55781) ^ [] : [-(before_on_line(_61034, _61030, _61028))]], 167 ^ _55781 : [(168 ^ _55781) ^ [] : [-(before_on_line(_61034, _61028, _61030))], (170 ^ _55781) ^ [] : [-(before_on_line(_61034, _61030, _61032))]]], (172 ^ _55781) ^ [_61470, _61472, _61474, _61476] : [-(between_on_line(_61476, _61474, _61472, _61470)), 173 ^ _55781 : [(174 ^ _55781) ^ [] : [before_on_line(_61476, _61474, _61472), before_on_line(_61476, _61472, _61470)], (180 ^ _55781) ^ [] : [before_on_line(_61476, _61470, _61472), before_on_line(_61476, _61472, _61474)]]], (188 ^ _55781) ^ [_61948] : [distinct_points(_61948, _61948)], (190 ^ _55781) ^ [_62069, _62071, _62073] : [distinct_points(_62073, _62071), -(distinct_points(_62073, _62069)), -(distinct_points(_62071, _62069))], (200 ^ _55781) ^ [_62349] : [distinct_lines(_62349, _62349)], (202 ^ _55781) ^ [_62470, _62472, _62474] : [distinct_lines(_62474, _62472), -(distinct_lines(_62474, _62470)), -(distinct_lines(_62472, _62470))], (212 ^ _55781) ^ [_62751] : [-(equally_directed_lines(_62751, _62751))], (214 ^ _55781) ^ [_62872, _62874, _62876] : [unequally_directed_lines(_62876, _62874), -(unequally_directed_lines(_62876, _62872)), -(unequally_directed_lines(_62874, _62872))], (224 ^ _55781) ^ [_63196, _63198, _63200] : [unequally_directed_lines(_63200, _63198), unequally_directed_lines(_63200, reverse_line(_63198)), 233 ^ _55781 : [(234 ^ _55781) ^ [] : [-(unequally_directed_lines(_63200, _63196))], (236 ^ _55781) ^ [] : [-(unequally_directed_lines(_63200, reverse_line(_63196)))]], 237 ^ _55781 : [(238 ^ _55781) ^ [] : [-(unequally_directed_lines(_63198, _63196))], (240 ^ _55781) ^ [] : [-(unequally_directed_lines(_63198, reverse_line(_63196)))]]], (242 ^ _55781) ^ [_63767, _63769] : [-(unequally_directed_lines(_63769, _63767)), -(unequally_directed_lines(_63769, reverse_line(_63767)))], (248 ^ _55781) ^ [_63982, _63984] : [unequally_directed_lines(_63984, _63982), unequally_directed_lines(_63984, reverse_line(_63982)), -(left_convergent_lines(_63984, _63982)), -(left_convergent_lines(_63984, reverse_line(_63982)))], (262 ^ _55781) ^ [_64385, _64387] : [left_apart_point(_64387, _64385)], (264 ^ _55781) ^ [_64430, _64432] : [left_apart_point(_64432, reverse_line(_64430))], (266 ^ _55781) ^ [_64547, _64549] : [left_convergent_lines(_64549, _64547)], (268 ^ _55781) ^ [_64592, _64594] : [left_convergent_lines(_64594, reverse_line(_64592))], (270 ^ _55781) ^ [_64705, _64707] : [-(line(line_connecting(_64707, _64705))), point(_64707), point(_64705), distinct_points(_64707, _64705)], (284 ^ _55781) ^ [_65093, _65095] : [-(point(intersection_point(_65095, _65093))), line(_65095), line(_65093), unequally_directed_lines(_65095, _65093), unequally_directed_lines(_65095, reverse_line(_65093))], (302 ^ _55781) ^ [_65574, _65576] : [-(line(parallel_through_point(_65576, _65574))), point(_65574), line(_65576)], (312 ^ _55781) ^ [_65859] : [line(_65859), -(line(reverse_line(_65859)))], (318 ^ _55781) ^ [_66063, _66065] : [distinct_points(_66065, _66063), 321 ^ _55781 : [(322 ^ _55781) ^ [] : [apart_point_and_line(_66065, line_connecting(_66065, _66063))], (324 ^ _55781) ^ [] : [apart_point_and_line(_66063, line_connecting(_66065, _66063))]]], (326 ^ _55781) ^ [_66362, _66364] : [333 ^ _55781 : [(334 ^ _55781) ^ [] : [apart_point_and_line(intersection_point(_66364, _66362), _66364)], (336 ^ _55781) ^ [] : [apart_point_and_line(intersection_point(_66364, _66362), _66362)]], unequally_directed_lines(_66364, _66362), unequally_directed_lines(_66364, reverse_line(_66362))], (338 ^ _55781) ^ [_66738, _66740] : [apart_point_and_line(_66740, parallel_through_point(_66738, _66740))], (340 ^ _55781) ^ [_66820] : [distinct_lines(_66820, reverse_line(_66820))], (342 ^ _55781) ^ [_66929, _66931] : [distinct_points(_66931, _66929), -(equally_directed_lines(line_connecting(_66931, _66929), reverse_line(line_connecting(_66929, _66931))))], (348 ^ _55781) ^ [_67140, _67142] : [-(equally_directed_lines(parallel_through_point(_67140, _67142), _67140))], (350 ^ _55781) ^ [_67280, _67282, _67284, _67286] : [distinct_points(_67286, _67284), distinct_lines(_67282, _67280), -(left_apart_point(_67286, _67282)), -(left_apart_point(_67284, _67282)), -(left_apart_point(_67286, _67280)), -(left_apart_point(_67284, _67280)), -(left_apart_point(_67286, reverse_line(_67282))), -(left_apart_point(_67284, reverse_line(_67282))), -(left_apart_point(_67286, reverse_line(_67280))), -(left_apart_point(_67284, reverse_line(_67280)))], (388 ^ _55781) ^ [_68317, _68319, _68321] : [distinct_points(_68321, _68319), left_apart_point(_68321, _68317), -(left_apart_point(_68319, _68317)), -(left_convergent_lines(line_connecting(_68321, _68319), _68317))], (402 ^ _55781) ^ [_68742, _68744, _68746] : [left_apart_point(_68746, _68742), -(distinct_points(_68746, _68744)), -(left_apart_point(_68744, _68742))], (426 ^ _55781) ^ [_69469, _69471, _69473] : [left_convergent_lines(_69473, _69471), -(unequally_directed_lines(_69471, _69469)), -(left_convergent_lines(_69473, _69469))], (412 ^ _55781) ^ [_69066, _69068, _69070] : [left_apart_point(_69070, _69068), unequally_directed_lines(_69068, _69066), -(distinct_lines(_69068, _69066)), -(left_apart_point(_69070, reverse_line(_69066)))]], input).
% 0.31/1.37  ncf('1',plain,[left_apart_point(436 ^ [], 437 ^ [])],start(262 ^ 0,bind([[_64385, _64387], [437 ^ [], 436 ^ []]]))).
% 0.31/1.37  ncf('1.1',plain,[-(left_apart_point(436 ^ [], 437 ^ []))],extension(441 ^ 1)).
% 0.31/1.37  %-----------------------------------------------------
% 0.31/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------