TSTP Solution File: GEO236+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO236+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 0.23s 1.33s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO236+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command  : nanocop.sh %s %d
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Fri May 19 04:36:05 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.23/1.33  
% 0.23/1.33  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.23/1.33  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/1.33  %-----------------------------------------------------
% 0.23/1.33  ncf(matrix, plain, [(439 ^ _55958) ^ [] : [-(left_apart_point(435 ^ [], 436 ^ []))], (441 ^ _55958) ^ [] : [-(right_apart_point(435 ^ [], 437 ^ []))], (443 ^ _55958) ^ [] : [unequally_directed_lines(436 ^ [], 437 ^ [])], (445 ^ _55958) ^ [] : [distinct_lines(436 ^ [], 437 ^ [])], (2 ^ _55958) ^ [_56100, _56102] : [unequally_directed_opposite_lines(_56102, _56100), -(unequally_directed_lines(_56102, reverse_line(_56100)))], (8 ^ _55958) ^ [_56266, _56268] : [unequally_directed_lines(_56268, reverse_line(_56266)), -(unequally_directed_opposite_lines(_56268, _56266))], (14 ^ _55958) ^ [_56511, _56513] : [right_apart_point(_56513, _56511), -(left_apart_point(_56513, reverse_line(_56511)))], (20 ^ _55958) ^ [_56677, _56679] : [left_apart_point(_56679, reverse_line(_56677)), -(right_apart_point(_56679, _56677))], (26 ^ _55958) ^ [_56922, _56924] : [right_convergent_lines(_56924, _56922), -(left_convergent_lines(_56924, reverse_line(_56922)))], (32 ^ _55958) ^ [_57088, _57090] : [left_convergent_lines(_57090, reverse_line(_57088)), -(right_convergent_lines(_57090, _57088))], (38 ^ _55958) ^ [_57333, _57335] : [equally_directed_lines(_57335, _57333), unequally_directed_lines(_57335, _57333)], (44 ^ _55958) ^ [_57496, _57498] : [-(unequally_directed_lines(_57498, _57496)), -(equally_directed_lines(_57498, _57496))], (50 ^ _55958) ^ [_57740, _57742] : [equally_directed_opposite_lines(_57742, _57740), unequally_directed_opposite_lines(_57742, _57740)], (56 ^ _55958) ^ [_57903, _57905] : [-(unequally_directed_opposite_lines(_57905, _57903)), -(equally_directed_opposite_lines(_57905, _57903))], (72 ^ _55958) ^ [_58399, _58401] : [73 ^ _55958 : [(74 ^ _55958) ^ [] : [left_apart_point(_58401, _58399)], (76 ^ _55958) ^ [] : [right_apart_point(_58401, _58399)]], -(apart_point_and_line(_58401, _58399))], (62 ^ _55958) ^ [_58147, _58149] : [apart_point_and_line(_58149, _58147), -(left_apart_point(_58149, _58147)), -(right_apart_point(_58149, _58147))], (80 ^ _55958) ^ [_58714, _58716] : [convergent_lines(_58716, _58714), 83 ^ _55958 : [(84 ^ _55958) ^ [] : [-(unequally_directed_lines(_58716, _58714))], (86 ^ _55958) ^ [] : [-(unequally_directed_opposite_lines(_58716, _58714))]]], (88 ^ _55958) ^ [_58951, _58953] : [-(convergent_lines(_58953, _58951)), unequally_directed_lines(_58953, _58951), unequally_directed_opposite_lines(_58953, _58951)], (98 ^ _55958) ^ [_59295, _59297, _59299] : [divides_points(_59295, _59299, _59297), 103 ^ _55958 : [(104 ^ _55958) ^ [] : [-(left_apart_point(_59299, _59295))], (106 ^ _55958) ^ [] : [-(right_apart_point(_59297, _59295))]], 107 ^ _55958 : [(108 ^ _55958) ^ [] : [-(right_apart_point(_59299, _59295))], (110 ^ _55958) ^ [] : [-(left_apart_point(_59297, _59295))]]], (112 ^ _55958) ^ [_59713, _59715, _59717] : [-(divides_points(_59713, _59717, _59715)), 113 ^ _55958 : [(114 ^ _55958) ^ [] : [left_apart_point(_59717, _59713), right_apart_point(_59715, _59713)], (120 ^ _55958) ^ [] : [right_apart_point(_59717, _59713), left_apart_point(_59715, _59713)]]], (128 ^ _55958) ^ [_60238, _60240, _60242] : [before_on_line(_60242, _60240, _60238), 131 ^ _55958 : [(132 ^ _55958) ^ [] : [-(distinct_points(_60240, _60238))], (134 ^ _55958) ^ [] : [-(incident_point_and_line(_60240, _60242))], (136 ^ _55958) ^ [] : [-(incident_point_and_line(_60238, _60242))], (138 ^ _55958) ^ [] : [-(equally_directed_lines(_60242, line_connecting(_60240, _60238)))]]], (140 ^ _55958) ^ [_60643, _60645, _60647] : [-(before_on_line(_60647, _60645, _60643)), distinct_points(_60645, _60643), incident_point_and_line(_60645, _60647), incident_point_and_line(_60643, _60647), equally_directed_lines(_60647, line_connecting(_60645, _60643))], (158 ^ _55958) ^ [_61205, _61207, _61209, _61211] : [between_on_line(_61211, _61209, _61207, _61205), 163 ^ _55958 : [(164 ^ _55958) ^ [] : [-(before_on_line(_61211, _61209, _61207))], (166 ^ _55958) ^ [] : [-(before_on_line(_61211, _61207, _61205))]], 167 ^ _55958 : [(168 ^ _55958) ^ [] : [-(before_on_line(_61211, _61205, _61207))], (170 ^ _55958) ^ [] : [-(before_on_line(_61211, _61207, _61209))]]], (172 ^ _55958) ^ [_61647, _61649, _61651, _61653] : [-(between_on_line(_61653, _61651, _61649, _61647)), 173 ^ _55958 : [(174 ^ _55958) ^ [] : [before_on_line(_61653, _61651, _61649), before_on_line(_61653, _61649, _61647)], (180 ^ _55958) ^ [] : [before_on_line(_61653, _61647, _61649), before_on_line(_61653, _61649, _61651)]]], (188 ^ _55958) ^ [_62125] : [distinct_points(_62125, _62125)], (190 ^ _55958) ^ [_62246, _62248, _62250] : [distinct_points(_62250, _62248), -(distinct_points(_62250, _62246)), -(distinct_points(_62248, _62246))], (200 ^ _55958) ^ [_62526] : [distinct_lines(_62526, _62526)], (202 ^ _55958) ^ [_62647, _62649, _62651] : [distinct_lines(_62651, _62649), -(distinct_lines(_62651, _62647)), -(distinct_lines(_62649, _62647))], (212 ^ _55958) ^ [_62928] : [-(equally_directed_lines(_62928, _62928))], (214 ^ _55958) ^ [_63049, _63051, _63053] : [unequally_directed_lines(_63053, _63051), -(unequally_directed_lines(_63053, _63049)), -(unequally_directed_lines(_63051, _63049))], (224 ^ _55958) ^ [_63373, _63375, _63377] : [unequally_directed_lines(_63377, _63375), unequally_directed_lines(_63377, reverse_line(_63375)), 233 ^ _55958 : [(234 ^ _55958) ^ [] : [-(unequally_directed_lines(_63377, _63373))], (236 ^ _55958) ^ [] : [-(unequally_directed_lines(_63377, reverse_line(_63373)))]], 237 ^ _55958 : [(238 ^ _55958) ^ [] : [-(unequally_directed_lines(_63375, _63373))], (240 ^ _55958) ^ [] : [-(unequally_directed_lines(_63375, reverse_line(_63373)))]]], (242 ^ _55958) ^ [_63944, _63946] : [-(unequally_directed_lines(_63946, _63944)), -(unequally_directed_lines(_63946, reverse_line(_63944)))], (248 ^ _55958) ^ [_64159, _64161] : [unequally_directed_lines(_64161, _64159), unequally_directed_lines(_64161, reverse_line(_64159)), -(left_convergent_lines(_64161, _64159)), -(left_convergent_lines(_64161, reverse_line(_64159)))], (262 ^ _55958) ^ [_64562, _64564] : [left_apart_point(_64564, _64562)], (264 ^ _55958) ^ [_64607, _64609] : [left_apart_point(_64609, reverse_line(_64607))], (266 ^ _55958) ^ [_64724, _64726] : [left_convergent_lines(_64726, _64724)], (268 ^ _55958) ^ [_64769, _64771] : [left_convergent_lines(_64771, reverse_line(_64769))], (270 ^ _55958) ^ [_64882, _64884] : [-(line(line_connecting(_64884, _64882))), point(_64884), point(_64882), distinct_points(_64884, _64882)], (284 ^ _55958) ^ [_65270, _65272] : [-(point(intersection_point(_65272, _65270))), line(_65272), line(_65270), unequally_directed_lines(_65272, _65270), unequally_directed_lines(_65272, reverse_line(_65270))], (302 ^ _55958) ^ [_65751, _65753] : [-(line(parallel_through_point(_65753, _65751))), point(_65751), line(_65753)], (312 ^ _55958) ^ [_66036] : [line(_66036), -(line(reverse_line(_66036)))], (318 ^ _55958) ^ [_66240, _66242] : [distinct_points(_66242, _66240), 321 ^ _55958 : [(322 ^ _55958) ^ [] : [apart_point_and_line(_66242, line_connecting(_66242, _66240))], (324 ^ _55958) ^ [] : [apart_point_and_line(_66240, line_connecting(_66242, _66240))]]], (326 ^ _55958) ^ [_66539, _66541] : [333 ^ _55958 : [(334 ^ _55958) ^ [] : [apart_point_and_line(intersection_point(_66541, _66539), _66541)], (336 ^ _55958) ^ [] : [apart_point_and_line(intersection_point(_66541, _66539), _66539)]], unequally_directed_lines(_66541, _66539), unequally_directed_lines(_66541, reverse_line(_66539))], (338 ^ _55958) ^ [_66915, _66917] : [apart_point_and_line(_66917, parallel_through_point(_66915, _66917))], (340 ^ _55958) ^ [_66997] : [distinct_lines(_66997, reverse_line(_66997))], (342 ^ _55958) ^ [_67106, _67108] : [distinct_points(_67108, _67106), -(equally_directed_lines(line_connecting(_67108, _67106), reverse_line(line_connecting(_67106, _67108))))], (348 ^ _55958) ^ [_67317, _67319] : [-(equally_directed_lines(parallel_through_point(_67317, _67319), _67317))], (350 ^ _55958) ^ [_67457, _67459, _67461, _67463] : [distinct_points(_67463, _67461), distinct_lines(_67459, _67457), -(left_apart_point(_67463, _67459)), -(left_apart_point(_67461, _67459)), -(left_apart_point(_67463, _67457)), -(left_apart_point(_67461, _67457)), -(left_apart_point(_67463, reverse_line(_67459))), -(left_apart_point(_67461, reverse_line(_67459))), -(left_apart_point(_67463, reverse_line(_67457))), -(left_apart_point(_67461, reverse_line(_67457)))], (388 ^ _55958) ^ [_68494, _68496, _68498] : [distinct_points(_68498, _68496), left_apart_point(_68498, _68494), -(left_apart_point(_68496, _68494)), -(left_convergent_lines(line_connecting(_68498, _68496), _68494))], (402 ^ _55958) ^ [_68919, _68921, _68923] : [left_apart_point(_68923, _68919), -(distinct_points(_68923, _68921)), -(left_apart_point(_68921, _68919))], (426 ^ _55958) ^ [_69646, _69648, _69650] : [left_convergent_lines(_69650, _69648), -(unequally_directed_lines(_69648, _69646)), -(left_convergent_lines(_69650, _69646))], (412 ^ _55958) ^ [_69243, _69245, _69247] : [left_apart_point(_69247, _69245), unequally_directed_lines(_69245, _69243), -(distinct_lines(_69245, _69243)), -(left_apart_point(_69247, reverse_line(_69243)))]], input).
% 0.23/1.33  ncf('1',plain,[left_apart_point(435 ^ [], 436 ^ [])],start(262 ^ 0,bind([[_64562, _64564], [436 ^ [], 435 ^ []]]))).
% 0.23/1.33  ncf('1.1',plain,[-(left_apart_point(435 ^ [], 436 ^ []))],extension(439 ^ 1)).
% 0.23/1.33  %-----------------------------------------------------
% 0.23/1.33  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------