TSTP Solution File: GEO174+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO174+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 11:12:03 EDT 2023
% Result : Theorem 0.46s 1.33s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO174+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.10 % Command : nanocop.sh %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri May 19 04:28:50 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.46/1.33
% 0.46/1.33 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.46/1.33 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/1.33 %-----------------------------------------------------
% 0.46/1.33 ncf(matrix, plain, [(340 ^ _50765) ^ [] : [distinct_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ []))], (330 ^ _50765) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (332 ^ _50765) ^ [] : [-(convergent_lines(327 ^ [], 328 ^ []))], (334 ^ _50765) ^ [] : [-(apart_point_and_line(325 ^ [], 327 ^ [])), -(apart_point_and_line(326 ^ [], 327 ^ []))], (2 ^ _50765) ^ [_50868] : [distinct_points(_50868, _50868)], (4 ^ _50765) ^ [_50945] : [distinct_lines(_50945, _50945)], (6 ^ _50765) ^ [_51022] : [convergent_lines(_51022, _51022)], (8 ^ _50765) ^ [_51143, _51145, _51147] : [distinct_points(_51147, _51145), -(distinct_points(_51147, _51143)), -(distinct_points(_51145, _51143))], (18 ^ _50765) ^ [_51467, _51469, _51471] : [distinct_lines(_51471, _51469), -(distinct_lines(_51471, _51467)), -(distinct_lines(_51469, _51467))], (28 ^ _50765) ^ [_51791, _51793, _51795] : [convergent_lines(_51795, _51793), -(convergent_lines(_51795, _51791)), -(convergent_lines(_51793, _51791))], (38 ^ _50765) ^ [_52101, _52103] : [distinct_points(_52103, _52101), apart_point_and_line(_52103, line_connecting(_52103, _52101))], (44 ^ _50765) ^ [_52318, _52320] : [distinct_points(_52320, _52318), apart_point_and_line(_52318, line_connecting(_52320, _52318))], (50 ^ _50765) ^ [_52535, _52537] : [convergent_lines(_52537, _52535), apart_point_and_line(intersection_point(_52537, _52535), _52537)], (56 ^ _50765) ^ [_52752, _52754] : [convergent_lines(_52754, _52752), apart_point_and_line(intersection_point(_52754, _52752), _52752)], (62 ^ _50765) ^ [_52997, _52999, _53001, _53003] : [distinct_points(_53003, _53001), distinct_lines(_52999, _52997), -(apart_point_and_line(_53003, _52999)), -(apart_point_and_line(_53003, _52997)), -(apart_point_and_line(_53001, _52999)), -(apart_point_and_line(_53001, _52997))], (84 ^ _50765) ^ [_53626, _53628, _53630] : [apart_point_and_line(_53630, _53628), -(distinct_points(_53630, _53626)), -(apart_point_and_line(_53626, _53628))], (94 ^ _50765) ^ [_53950, _53952, _53954] : [apart_point_and_line(_53954, _53952), -(distinct_lines(_53952, _53950)), -(apart_point_and_line(_53954, _53950))], (104 ^ _50765) ^ [_54254, _54256, _54258] : [convergent_lines(_54258, _54256), -(distinct_lines(_54256, _54254)), -(convergent_lines(_54258, _54254))], (114 ^ _50765) ^ [_54590, _54592] : [distinct_lines(_54592, _54590), -(convergent_lines(_54592, _54590))], (120 ^ _50765) ^ [_54804, _54806] : [convergent_lines(parallel_through_point(_54804, _54806), _54804)], (122 ^ _50765) ^ [_54900, _54902] : [apart_point_and_line(_54902, parallel_through_point(_54900, _54902))], (124 ^ _50765) ^ [_55006, _55008, _55010] : [distinct_lines(_55008, _55006), -(apart_point_and_line(_55010, _55008)), -(apart_point_and_line(_55010, _55006)), -(convergent_lines(_55008, _55006))], (138 ^ _50765) ^ [_55434, _55436] : [-(convergent_lines(_55436, _55434)), -(unorthogonal_lines(_55436, _55434))], (144 ^ _50765) ^ [_55659, _55661, _55663] : [convergent_lines(_55663, _55661), unorthogonal_lines(_55663, _55661), 153 ^ _50765 : [(154 ^ _50765) ^ [] : [-(convergent_lines(_55663, _55659))], (156 ^ _50765) ^ [] : [-(unorthogonal_lines(_55663, _55659))]], 157 ^ _50765 : [(158 ^ _50765) ^ [] : [-(convergent_lines(_55661, _55659))], (160 ^ _50765) ^ [] : [-(unorthogonal_lines(_55661, _55659))]]], (162 ^ _50765) ^ [_56202, _56204] : [unorthogonal_lines(orthogonal_through_point(_56202, _56204), _56202)], (164 ^ _50765) ^ [_56298, _56300] : [apart_point_and_line(_56300, orthogonal_through_point(_56298, _56300))], (166 ^ _50765) ^ [_56418, _56420, _56422, _56424] : [distinct_lines(_56422, _56420), -(apart_point_and_line(_56424, _56422)), -(apart_point_and_line(_56424, _56420)), -(unorthogonal_lines(_56422, _56418)), -(unorthogonal_lines(_56420, _56418))], (184 ^ _50765) ^ [_56962, _56964] : [-(convergent_lines(_56964, _56962)), -(unorthogonal_lines(_56964, _56962))], (208 ^ _50765) ^ [_57756, _57758, _57760] : [convergent_lines(_57758, _57756), -(unorthogonal_lines(_57760, _57758)), -(unorthogonal_lines(_57760, _57756))], (190 ^ _50765) ^ [_57191, _57193, _57195] : [193 ^ _50765 : [(194 ^ _50765) ^ [] : [-(convergent_lines(_57195, _57193))], (196 ^ _50765) ^ [] : [-(unorthogonal_lines(_57195, _57193))]], 197 ^ _50765 : [(198 ^ _50765) ^ [] : [-(convergent_lines(_57195, _57191))], (200 ^ _50765) ^ [] : [-(unorthogonal_lines(_57195, _57191))]], convergent_lines(_57193, _57191), unorthogonal_lines(_57193, _57191)], (218 ^ _50765) ^ [_58096, _58098] : [-(line(line_connecting(_58098, _58096))), point(_58098), point(_58096), distinct_points(_58098, _58096)], (232 ^ _50765) ^ [_58484, _58486] : [-(point(intersection_point(_58486, _58484))), line(_58486), line(_58484), convergent_lines(_58486, _58484)], (246 ^ _50765) ^ [_58872, _58874] : [-(line(parallel_through_point(_58874, _58872))), line(_58874), point(_58872)], (256 ^ _50765) ^ [_59151, _59153] : [-(line(orthogonal_through_point(_59153, _59151))), line(_59153), point(_59151)], (266 ^ _50765) ^ [_59485, _59487] : [equal_points(_59487, _59485), distinct_points(_59487, _59485)], (272 ^ _50765) ^ [_59648, _59650] : [-(distinct_points(_59650, _59648)), -(equal_points(_59650, _59648))], (278 ^ _50765) ^ [_59892, _59894] : [equal_lines(_59894, _59892), distinct_lines(_59894, _59892)], (284 ^ _50765) ^ [_60055, _60057] : [-(distinct_lines(_60057, _60055)), -(equal_lines(_60057, _60055))], (290 ^ _50765) ^ [_60299, _60301] : [parallel_lines(_60301, _60299), convergent_lines(_60301, _60299)], (296 ^ _50765) ^ [_60462, _60464] : [-(convergent_lines(_60464, _60462)), -(parallel_lines(_60464, _60462))], (302 ^ _50765) ^ [_60706, _60708] : [incident_point_and_line(_60708, _60706), apart_point_and_line(_60708, _60706)], (308 ^ _50765) ^ [_60869, _60871] : [-(apart_point_and_line(_60871, _60869)), -(incident_point_and_line(_60871, _60869))], (314 ^ _50765) ^ [_61093, _61095] : [orthogonal_lines(_61095, _61093), unorthogonal_lines(_61095, _61093)], (320 ^ _50765) ^ [_61256, _61258] : [-(unorthogonal_lines(_61258, _61256)), -(orthogonal_lines(_61258, _61256))]], input).
% 0.46/1.33 ncf('1',plain,[distinct_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ []))],start(340 ^ 0)).
% 0.46/1.33 ncf('1.1',plain,[-(distinct_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ []))), apart_point_and_line(325 ^ [], 327 ^ []), -(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(94 ^ 1,bind([[_53950, _53952, _53954], [line_connecting(325 ^ [], 326 ^ []), 327 ^ [], 325 ^ []]]))).
% 0.46/1.33 ncf('1.1.1',plain,[-(apart_point_and_line(325 ^ [], 327 ^ [])), -(apart_point_and_line(326 ^ [], 327 ^ []))],extension(334 ^ 2)).
% 0.46/1.33 ncf('1.1.1.1',plain,[apart_point_and_line(326 ^ [], 327 ^ []), -(distinct_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ []))), -(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(94 ^ 3,bind([[_53950, _53952, _53954], [line_connecting(325 ^ [], 326 ^ []), 327 ^ [], 326 ^ []]]))).
% 0.46/1.33 ncf('1.1.1.1.1',plain,[distinct_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ []))],reduction('1')).
% 0.46/1.33 ncf('1.1.1.1.2',plain,[apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(44 ^ 4,bind([[_52318, _52320], [326 ^ [], 325 ^ []]]))).
% 0.46/1.33 ncf('1.1.1.1.2.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(330 ^ 5)).
% 0.46/1.33 ncf('1.1.2',plain,[apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(38 ^ 2,bind([[_52101, _52103], [326 ^ [], 325 ^ []]]))).
% 0.46/1.33 ncf('1.1.2.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(330 ^ 3)).
% 0.46/1.33 %-----------------------------------------------------
% 0.46/1.33 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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