TSTP Solution File: GEO256+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO256+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n009.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 11:12:22 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO256+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n009.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 04:26:32 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(441 ^ _57816) ^ [] : [-(distinct_points(436 ^ [], 438 ^ []))], (443 ^ _57816) ^ [] : [-(distinct_points(437 ^ [], 438 ^ []))], (445 ^ _57816) ^ [] : [-(incident_point_and_line(438 ^ [], 435 ^ []))], (447 ^ _57816) ^ [] : [-(left_apart_point(439 ^ [], 435 ^ []))], (449 ^ _57816) ^ [] : [-(before_on_line(435 ^ [], 436 ^ [], 437 ^ []))], (451 ^ _57816) ^ [] : [before_on_line(435 ^ [], 436 ^ [], 438 ^ [])], (453 ^ _57816) ^ [] : [before_on_line(435 ^ [], 438 ^ [], 437 ^ [])], (2 ^ _57816) ^ [_57958, _57960] : [unequally_directed_opposite_lines(_57960, _57958), -(unequally_directed_lines(_57960, reverse_line(_57958)))], (8 ^ _57816) ^ [_58124, _58126] : [unequally_directed_lines(_58126, reverse_line(_58124)), -(unequally_directed_opposite_lines(_58126, _58124))], (14 ^ _57816) ^ [_58369, _58371] : [right_apart_point(_58371, _58369), -(left_apart_point(_58371, reverse_line(_58369)))], (20 ^ _57816) ^ [_58535, _58537] : [left_apart_point(_58537, reverse_line(_58535)), -(right_apart_point(_58537, _58535))], (26 ^ _57816) ^ [_58780, _58782] : [right_convergent_lines(_58782, _58780), -(left_convergent_lines(_58782, reverse_line(_58780)))], (32 ^ _57816) ^ [_58946, _58948] : [left_convergent_lines(_58948, reverse_line(_58946)), -(right_convergent_lines(_58948, _58946))], (38 ^ _57816) ^ [_59191, _59193] : [equally_directed_lines(_59193, _59191), unequally_directed_lines(_59193, _59191)], (44 ^ _57816) ^ [_59354, _59356] : [-(unequally_directed_lines(_59356, _59354)), -(equally_directed_lines(_59356, _59354))], (50 ^ _57816) ^ [_59598, _59600] : [equally_directed_opposite_lines(_59600, _59598), unequally_directed_opposite_lines(_59600, _59598)], (56 ^ _57816) ^ [_59761, _59763] : [-(unequally_directed_opposite_lines(_59763, _59761)), -(equally_directed_opposite_lines(_59763, _59761))], (72 ^ _57816) ^ [_60257, _60259] : [73 ^ _57816 : [(74 ^ _57816) ^ [] : [left_apart_point(_60259, _60257)], (76 ^ _57816) ^ [] : [right_apart_point(_60259, _60257)]], -(apart_point_and_line(_60259, _60257))], (62 ^ _57816) ^ [_60005, _60007] : [apart_point_and_line(_60007, _60005), -(left_apart_point(_60007, _60005)), -(right_apart_point(_60007, _60005))], (80 ^ _57816) ^ [_60572, _60574] : [convergent_lines(_60574, _60572), 83 ^ _57816 : [(84 ^ _57816) ^ [] : [-(unequally_directed_lines(_60574, _60572))], (86 ^ _57816) ^ [] : [-(unequally_directed_opposite_lines(_60574, _60572))]]], (88 ^ _57816) ^ [_60809, _60811] : [-(convergent_lines(_60811, _60809)), unequally_directed_lines(_60811, _60809), unequally_directed_opposite_lines(_60811, _60809)], (98 ^ _57816) ^ [_61153, _61155, _61157] : [divides_points(_61153, _61157, _61155), 103 ^ _57816 : [(104 ^ _57816) ^ [] : [-(left_apart_point(_61157, _61153))], (106 ^ _57816) ^ [] : [-(right_apart_point(_61155, _61153))]], 107 ^ _57816 : [(108 ^ _57816) ^ [] : [-(right_apart_point(_61157, _61153))], (110 ^ _57816) ^ [] : [-(left_apart_point(_61155, _61153))]]], (112 ^ _57816) ^ [_61571, _61573, _61575] : [-(divides_points(_61571, _61575, _61573)), 113 ^ _57816 : [(114 ^ _57816) ^ [] : [left_apart_point(_61575, _61571), right_apart_point(_61573, _61571)], (120 ^ _57816) ^ [] : [right_apart_point(_61575, _61571), left_apart_point(_61573, _61571)]]], (128 ^ _57816) ^ [_62096, _62098, _62100] : [before_on_line(_62100, _62098, _62096), 131 ^ _57816 : [(132 ^ _57816) ^ [] : [-(distinct_points(_62098, _62096))], (134 ^ _57816) ^ [] : [-(incident_point_and_line(_62098, _62100))], (136 ^ _57816) ^ [] : [-(incident_point_and_line(_62096, _62100))], (138 ^ _57816) ^ [] : [-(equally_directed_lines(_62100, line_connecting(_62098, _62096)))]]], (140 ^ _57816) ^ [_62501, _62503, _62505] : [-(before_on_line(_62505, _62503, _62501)), distinct_points(_62503, _62501), incident_point_and_line(_62503, _62505), incident_point_and_line(_62501, _62505), equally_directed_lines(_62505, line_connecting(_62503, _62501))], (158 ^ _57816) ^ [_63063, _63065, _63067, _63069] : [between_on_line(_63069, _63067, _63065, _63063), 163 ^ _57816 : [(164 ^ _57816) ^ [] : [-(before_on_line(_63069, _63067, _63065))], (166 ^ _57816) ^ [] : [-(before_on_line(_63069, _63065, _63063))]], 167 ^ _57816 : [(168 ^ _57816) ^ [] : [-(before_on_line(_63069, _63063, _63065))], (170 ^ _57816) ^ [] : [-(before_on_line(_63069, _63065, _63067))]]], (172 ^ _57816) ^ [_63505, _63507, _63509, _63511] : [-(between_on_line(_63511, _63509, _63507, _63505)), 173 ^ _57816 : [(174 ^ _57816) ^ [] : [before_on_line(_63511, _63509, _63507), before_on_line(_63511, _63507, _63505)], (180 ^ _57816) ^ [] : [before_on_line(_63511, _63505, _63507), before_on_line(_63511, _63507, _63509)]]], (188 ^ _57816) ^ [_63983] : [distinct_points(_63983, _63983)], (190 ^ _57816) ^ [_64104, _64106, _64108] : [distinct_points(_64108, _64106), -(distinct_points(_64108, _64104)), -(distinct_points(_64106, _64104))], (200 ^ _57816) ^ [_64384] : [distinct_lines(_64384, _64384)], (202 ^ _57816) ^ [_64505, _64507, _64509] : [distinct_lines(_64509, _64507), -(distinct_lines(_64509, _64505)), -(distinct_lines(_64507, _64505))], (212 ^ _57816) ^ [_64786] : [-(equally_directed_lines(_64786, _64786))], (214 ^ _57816) ^ [_64907, _64909, _64911] : [unequally_directed_lines(_64911, _64909), -(unequally_directed_lines(_64911, _64907)), -(unequally_directed_lines(_64909, _64907))], (224 ^ _57816) ^ [_65231, _65233, _65235] : [unequally_directed_lines(_65235, _65233), unequally_directed_lines(_65235, reverse_line(_65233)), 233 ^ _57816 : [(234 ^ _57816) ^ [] : [-(unequally_directed_lines(_65235, _65231))], (236 ^ _57816) ^ [] : [-(unequally_directed_lines(_65235, reverse_line(_65231)))]], 237 ^ _57816 : [(238 ^ _57816) ^ [] : [-(unequally_directed_lines(_65233, _65231))], (240 ^ _57816) ^ [] : [-(unequally_directed_lines(_65233, reverse_line(_65231)))]]], (242 ^ _57816) ^ [_65802, _65804] : [-(unequally_directed_lines(_65804, _65802)), -(unequally_directed_lines(_65804, reverse_line(_65802)))], (248 ^ _57816) ^ [_66017, _66019] : [unequally_directed_lines(_66019, _66017), unequally_directed_lines(_66019, reverse_line(_66017)), -(left_convergent_lines(_66019, _66017)), -(left_convergent_lines(_66019, reverse_line(_66017)))], (262 ^ _57816) ^ [_66420, _66422] : [left_apart_point(_66422, _66420)], (264 ^ _57816) ^ [_66465, _66467] : [left_apart_point(_66467, reverse_line(_66465))], (266 ^ _57816) ^ [_66582, _66584] : [left_convergent_lines(_66584, _66582)], (268 ^ _57816) ^ [_66627, _66629] : [left_convergent_lines(_66629, reverse_line(_66627))], (270 ^ _57816) ^ [_66740, _66742] : [-(line(line_connecting(_66742, _66740))), point(_66742), point(_66740), distinct_points(_66742, _66740)], (284 ^ _57816) ^ [_67128, _67130] : [-(point(intersection_point(_67130, _67128))), line(_67130), line(_67128), unequally_directed_lines(_67130, _67128), unequally_directed_lines(_67130, reverse_line(_67128))], (302 ^ _57816) ^ [_67609, _67611] : [-(line(parallel_through_point(_67611, _67609))), point(_67609), line(_67611)], (312 ^ _57816) ^ [_67894] : [line(_67894), -(line(reverse_line(_67894)))], (318 ^ _57816) ^ [_68098, _68100] : [distinct_points(_68100, _68098), 321 ^ _57816 : [(322 ^ _57816) ^ [] : [apart_point_and_line(_68100, line_connecting(_68100, _68098))], (324 ^ _57816) ^ [] : [apart_point_and_line(_68098, line_connecting(_68100, _68098))]]], (326 ^ _57816) ^ [_68397, _68399] : [333 ^ _57816 : [(334 ^ _57816) ^ [] : [apart_point_and_line(intersection_point(_68399, _68397), _68399)], (336 ^ _57816) ^ [] : [apart_point_and_line(intersection_point(_68399, _68397), _68397)]], unequally_directed_lines(_68399, _68397), unequally_directed_lines(_68399, reverse_line(_68397))], (338 ^ _57816) ^ [_68773, _68775] : [apart_point_and_line(_68775, parallel_through_point(_68773, _68775))], (340 ^ _57816) ^ [_68855] : [distinct_lines(_68855, reverse_line(_68855))], (342 ^ _57816) ^ [_68964, _68966] : [distinct_points(_68966, _68964), -(equally_directed_lines(line_connecting(_68966, _68964), reverse_line(line_connecting(_68964, _68966))))], (348 ^ _57816) ^ [_69175, _69177] : [-(equally_directed_lines(parallel_through_point(_69175, _69177), _69175))], (350 ^ _57816) ^ [_69315, _69317, _69319, _69321] : [distinct_points(_69321, _69319), distinct_lines(_69317, _69315), -(left_apart_point(_69321, _69317)), -(left_apart_point(_69319, _69317)), -(left_apart_point(_69321, _69315)), -(left_apart_point(_69319, _69315)), -(left_apart_point(_69321, reverse_line(_69317))), -(left_apart_point(_69319, reverse_line(_69317))), -(left_apart_point(_69321, reverse_line(_69315))), -(left_apart_point(_69319, reverse_line(_69315)))], (388 ^ _57816) ^ [_70352, _70354, _70356] : [distinct_points(_70356, _70354), left_apart_point(_70356, _70352), -(left_apart_point(_70354, _70352)), -(left_convergent_lines(line_connecting(_70356, _70354), _70352))], (402 ^ _57816) ^ [_70777, _70779, _70781] : [left_apart_point(_70781, _70777), -(distinct_points(_70781, _70779)), -(left_apart_point(_70779, _70777))], (426 ^ _57816) ^ [_71504, _71506, _71508] : [left_convergent_lines(_71508, _71506), -(unequally_directed_lines(_71506, _71504)), -(left_convergent_lines(_71508, _71504))], (412 ^ _57816) ^ [_71101, _71103, _71105] : [left_apart_point(_71105, _71103), unequally_directed_lines(_71103, _71101), -(distinct_lines(_71103, _71101)), -(left_apart_point(_71105, reverse_line(_71101)))]], input).
% 0.33/1.38  ncf('1',plain,[left_apart_point(439 ^ [], 435 ^ [])],start(262 ^ 0,bind([[_66420, _66422], [435 ^ [], 439 ^ []]]))).
% 0.33/1.38  ncf('1.1',plain,[-(left_apart_point(439 ^ [], 435 ^ []))],extension(447 ^ 1)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------