TSTP Solution File: GEO257+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO257+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n006.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 0.34s 1.39s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO257+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n006.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 04:08:51 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.34/1.39  
% 0.34/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  ncf(matrix, plain, [(441 ^ _57819) ^ [] : [-(distinct_points(436 ^ [], 438 ^ []))], (443 ^ _57819) ^ [] : [-(distinct_points(437 ^ [], 438 ^ []))], (445 ^ _57819) ^ [] : [-(incident_point_and_line(438 ^ [], 435 ^ []))], (447 ^ _57819) ^ [] : [-(left_apart_point(439 ^ [], 435 ^ []))], (449 ^ _57819) ^ [] : [-(before_on_line(435 ^ [], 436 ^ [], 437 ^ []))], (451 ^ _57819) ^ [] : [-(before_on_line(435 ^ [], 437 ^ [], 438 ^ []))], (453 ^ _57819) ^ [] : [before_on_line(435 ^ [], 436 ^ [], 438 ^ [])], (2 ^ _57819) ^ [_57961, _57963] : [unequally_directed_opposite_lines(_57963, _57961), -(unequally_directed_lines(_57963, reverse_line(_57961)))], (8 ^ _57819) ^ [_58127, _58129] : [unequally_directed_lines(_58129, reverse_line(_58127)), -(unequally_directed_opposite_lines(_58129, _58127))], (14 ^ _57819) ^ [_58372, _58374] : [right_apart_point(_58374, _58372), -(left_apart_point(_58374, reverse_line(_58372)))], (20 ^ _57819) ^ [_58538, _58540] : [left_apart_point(_58540, reverse_line(_58538)), -(right_apart_point(_58540, _58538))], (26 ^ _57819) ^ [_58783, _58785] : [right_convergent_lines(_58785, _58783), -(left_convergent_lines(_58785, reverse_line(_58783)))], (32 ^ _57819) ^ [_58949, _58951] : [left_convergent_lines(_58951, reverse_line(_58949)), -(right_convergent_lines(_58951, _58949))], (38 ^ _57819) ^ [_59194, _59196] : [equally_directed_lines(_59196, _59194), unequally_directed_lines(_59196, _59194)], (44 ^ _57819) ^ [_59357, _59359] : [-(unequally_directed_lines(_59359, _59357)), -(equally_directed_lines(_59359, _59357))], (50 ^ _57819) ^ [_59601, _59603] : [equally_directed_opposite_lines(_59603, _59601), unequally_directed_opposite_lines(_59603, _59601)], (56 ^ _57819) ^ [_59764, _59766] : [-(unequally_directed_opposite_lines(_59766, _59764)), -(equally_directed_opposite_lines(_59766, _59764))], (72 ^ _57819) ^ [_60260, _60262] : [73 ^ _57819 : [(74 ^ _57819) ^ [] : [left_apart_point(_60262, _60260)], (76 ^ _57819) ^ [] : [right_apart_point(_60262, _60260)]], -(apart_point_and_line(_60262, _60260))], (62 ^ _57819) ^ [_60008, _60010] : [apart_point_and_line(_60010, _60008), -(left_apart_point(_60010, _60008)), -(right_apart_point(_60010, _60008))], (80 ^ _57819) ^ [_60575, _60577] : [convergent_lines(_60577, _60575), 83 ^ _57819 : [(84 ^ _57819) ^ [] : [-(unequally_directed_lines(_60577, _60575))], (86 ^ _57819) ^ [] : [-(unequally_directed_opposite_lines(_60577, _60575))]]], (88 ^ _57819) ^ [_60812, _60814] : [-(convergent_lines(_60814, _60812)), unequally_directed_lines(_60814, _60812), unequally_directed_opposite_lines(_60814, _60812)], (98 ^ _57819) ^ [_61156, _61158, _61160] : [divides_points(_61156, _61160, _61158), 103 ^ _57819 : [(104 ^ _57819) ^ [] : [-(left_apart_point(_61160, _61156))], (106 ^ _57819) ^ [] : [-(right_apart_point(_61158, _61156))]], 107 ^ _57819 : [(108 ^ _57819) ^ [] : [-(right_apart_point(_61160, _61156))], (110 ^ _57819) ^ [] : [-(left_apart_point(_61158, _61156))]]], (112 ^ _57819) ^ [_61574, _61576, _61578] : [-(divides_points(_61574, _61578, _61576)), 113 ^ _57819 : [(114 ^ _57819) ^ [] : [left_apart_point(_61578, _61574), right_apart_point(_61576, _61574)], (120 ^ _57819) ^ [] : [right_apart_point(_61578, _61574), left_apart_point(_61576, _61574)]]], (128 ^ _57819) ^ [_62099, _62101, _62103] : [before_on_line(_62103, _62101, _62099), 131 ^ _57819 : [(132 ^ _57819) ^ [] : [-(distinct_points(_62101, _62099))], (134 ^ _57819) ^ [] : [-(incident_point_and_line(_62101, _62103))], (136 ^ _57819) ^ [] : [-(incident_point_and_line(_62099, _62103))], (138 ^ _57819) ^ [] : [-(equally_directed_lines(_62103, line_connecting(_62101, _62099)))]]], (140 ^ _57819) ^ [_62504, _62506, _62508] : [-(before_on_line(_62508, _62506, _62504)), distinct_points(_62506, _62504), incident_point_and_line(_62506, _62508), incident_point_and_line(_62504, _62508), equally_directed_lines(_62508, line_connecting(_62506, _62504))], (158 ^ _57819) ^ [_63066, _63068, _63070, _63072] : [between_on_line(_63072, _63070, _63068, _63066), 163 ^ _57819 : [(164 ^ _57819) ^ [] : [-(before_on_line(_63072, _63070, _63068))], (166 ^ _57819) ^ [] : [-(before_on_line(_63072, _63068, _63066))]], 167 ^ _57819 : [(168 ^ _57819) ^ [] : [-(before_on_line(_63072, _63066, _63068))], (170 ^ _57819) ^ [] : [-(before_on_line(_63072, _63068, _63070))]]], (172 ^ _57819) ^ [_63508, _63510, _63512, _63514] : [-(between_on_line(_63514, _63512, _63510, _63508)), 173 ^ _57819 : [(174 ^ _57819) ^ [] : [before_on_line(_63514, _63512, _63510), before_on_line(_63514, _63510, _63508)], (180 ^ _57819) ^ [] : [before_on_line(_63514, _63508, _63510), before_on_line(_63514, _63510, _63512)]]], (188 ^ _57819) ^ [_63986] : [distinct_points(_63986, _63986)], (190 ^ _57819) ^ [_64107, _64109, _64111] : [distinct_points(_64111, _64109), -(distinct_points(_64111, _64107)), -(distinct_points(_64109, _64107))], (200 ^ _57819) ^ [_64387] : [distinct_lines(_64387, _64387)], (202 ^ _57819) ^ [_64508, _64510, _64512] : [distinct_lines(_64512, _64510), -(distinct_lines(_64512, _64508)), -(distinct_lines(_64510, _64508))], (212 ^ _57819) ^ [_64789] : [-(equally_directed_lines(_64789, _64789))], (214 ^ _57819) ^ [_64910, _64912, _64914] : [unequally_directed_lines(_64914, _64912), -(unequally_directed_lines(_64914, _64910)), -(unequally_directed_lines(_64912, _64910))], (224 ^ _57819) ^ [_65234, _65236, _65238] : [unequally_directed_lines(_65238, _65236), unequally_directed_lines(_65238, reverse_line(_65236)), 233 ^ _57819 : [(234 ^ _57819) ^ [] : [-(unequally_directed_lines(_65238, _65234))], (236 ^ _57819) ^ [] : [-(unequally_directed_lines(_65238, reverse_line(_65234)))]], 237 ^ _57819 : [(238 ^ _57819) ^ [] : [-(unequally_directed_lines(_65236, _65234))], (240 ^ _57819) ^ [] : [-(unequally_directed_lines(_65236, reverse_line(_65234)))]]], (242 ^ _57819) ^ [_65805, _65807] : [-(unequally_directed_lines(_65807, _65805)), -(unequally_directed_lines(_65807, reverse_line(_65805)))], (248 ^ _57819) ^ [_66020, _66022] : [unequally_directed_lines(_66022, _66020), unequally_directed_lines(_66022, reverse_line(_66020)), -(left_convergent_lines(_66022, _66020)), -(left_convergent_lines(_66022, reverse_line(_66020)))], (262 ^ _57819) ^ [_66423, _66425] : [left_apart_point(_66425, _66423)], (264 ^ _57819) ^ [_66468, _66470] : [left_apart_point(_66470, reverse_line(_66468))], (266 ^ _57819) ^ [_66585, _66587] : [left_convergent_lines(_66587, _66585)], (268 ^ _57819) ^ [_66630, _66632] : [left_convergent_lines(_66632, reverse_line(_66630))], (270 ^ _57819) ^ [_66743, _66745] : [-(line(line_connecting(_66745, _66743))), point(_66745), point(_66743), distinct_points(_66745, _66743)], (284 ^ _57819) ^ [_67131, _67133] : [-(point(intersection_point(_67133, _67131))), line(_67133), line(_67131), unequally_directed_lines(_67133, _67131), unequally_directed_lines(_67133, reverse_line(_67131))], (302 ^ _57819) ^ [_67612, _67614] : [-(line(parallel_through_point(_67614, _67612))), point(_67612), line(_67614)], (312 ^ _57819) ^ [_67897] : [line(_67897), -(line(reverse_line(_67897)))], (318 ^ _57819) ^ [_68101, _68103] : [distinct_points(_68103, _68101), 321 ^ _57819 : [(322 ^ _57819) ^ [] : [apart_point_and_line(_68103, line_connecting(_68103, _68101))], (324 ^ _57819) ^ [] : [apart_point_and_line(_68101, line_connecting(_68103, _68101))]]], (326 ^ _57819) ^ [_68400, _68402] : [333 ^ _57819 : [(334 ^ _57819) ^ [] : [apart_point_and_line(intersection_point(_68402, _68400), _68402)], (336 ^ _57819) ^ [] : [apart_point_and_line(intersection_point(_68402, _68400), _68400)]], unequally_directed_lines(_68402, _68400), unequally_directed_lines(_68402, reverse_line(_68400))], (338 ^ _57819) ^ [_68776, _68778] : [apart_point_and_line(_68778, parallel_through_point(_68776, _68778))], (340 ^ _57819) ^ [_68858] : [distinct_lines(_68858, reverse_line(_68858))], (342 ^ _57819) ^ [_68967, _68969] : [distinct_points(_68969, _68967), -(equally_directed_lines(line_connecting(_68969, _68967), reverse_line(line_connecting(_68967, _68969))))], (348 ^ _57819) ^ [_69178, _69180] : [-(equally_directed_lines(parallel_through_point(_69178, _69180), _69178))], (350 ^ _57819) ^ [_69318, _69320, _69322, _69324] : [distinct_points(_69324, _69322), distinct_lines(_69320, _69318), -(left_apart_point(_69324, _69320)), -(left_apart_point(_69322, _69320)), -(left_apart_point(_69324, _69318)), -(left_apart_point(_69322, _69318)), -(left_apart_point(_69324, reverse_line(_69320))), -(left_apart_point(_69322, reverse_line(_69320))), -(left_apart_point(_69324, reverse_line(_69318))), -(left_apart_point(_69322, reverse_line(_69318)))], (388 ^ _57819) ^ [_70355, _70357, _70359] : [distinct_points(_70359, _70357), left_apart_point(_70359, _70355), -(left_apart_point(_70357, _70355)), -(left_convergent_lines(line_connecting(_70359, _70357), _70355))], (402 ^ _57819) ^ [_70780, _70782, _70784] : [left_apart_point(_70784, _70780), -(distinct_points(_70784, _70782)), -(left_apart_point(_70782, _70780))], (426 ^ _57819) ^ [_71507, _71509, _71511] : [left_convergent_lines(_71511, _71509), -(unequally_directed_lines(_71509, _71507)), -(left_convergent_lines(_71511, _71507))], (412 ^ _57819) ^ [_71104, _71106, _71108] : [left_apart_point(_71108, _71106), unequally_directed_lines(_71106, _71104), -(distinct_lines(_71106, _71104)), -(left_apart_point(_71108, reverse_line(_71104)))]], input).
% 0.34/1.39  ncf('1',plain,[left_apart_point(439 ^ [], 435 ^ [])],start(262 ^ 0,bind([[_66423, _66425], [435 ^ [], 439 ^ []]]))).
% 0.34/1.39  ncf('1.1',plain,[-(left_apart_point(439 ^ [], 435 ^ []))],extension(447 ^ 1)).
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------