TSTP Solution File: GEO171+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO171+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 0.37s 1.38s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO171+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n026.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 04:54:50 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.37/1.38  
% 0.37/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.38  %-----------------------------------------------------
% 0.37/1.38  ncf(matrix, plain, [(328 ^ _48959) ^ [] : [-(convergent_lines(325 ^ [], 326 ^ []))], (330 ^ _48959) ^ [] : [distinct_lines(325 ^ [], 326 ^ [])], (2 ^ _48959) ^ [_49062] : [distinct_points(_49062, _49062)], (4 ^ _48959) ^ [_49139] : [distinct_lines(_49139, _49139)], (6 ^ _48959) ^ [_49216] : [convergent_lines(_49216, _49216)], (8 ^ _48959) ^ [_49337, _49339, _49341] : [distinct_points(_49341, _49339), -(distinct_points(_49341, _49337)), -(distinct_points(_49339, _49337))], (18 ^ _48959) ^ [_49661, _49663, _49665] : [distinct_lines(_49665, _49663), -(distinct_lines(_49665, _49661)), -(distinct_lines(_49663, _49661))], (28 ^ _48959) ^ [_49985, _49987, _49989] : [convergent_lines(_49989, _49987), -(convergent_lines(_49989, _49985)), -(convergent_lines(_49987, _49985))], (38 ^ _48959) ^ [_50295, _50297] : [distinct_points(_50297, _50295), apart_point_and_line(_50297, line_connecting(_50297, _50295))], (44 ^ _48959) ^ [_50512, _50514] : [distinct_points(_50514, _50512), apart_point_and_line(_50512, line_connecting(_50514, _50512))], (50 ^ _48959) ^ [_50729, _50731] : [convergent_lines(_50731, _50729), apart_point_and_line(intersection_point(_50731, _50729), _50731)], (56 ^ _48959) ^ [_50946, _50948] : [convergent_lines(_50948, _50946), apart_point_and_line(intersection_point(_50948, _50946), _50946)], (62 ^ _48959) ^ [_51191, _51193, _51195, _51197] : [distinct_points(_51197, _51195), distinct_lines(_51193, _51191), -(apart_point_and_line(_51197, _51193)), -(apart_point_and_line(_51197, _51191)), -(apart_point_and_line(_51195, _51193)), -(apart_point_and_line(_51195, _51191))], (84 ^ _48959) ^ [_51820, _51822, _51824] : [apart_point_and_line(_51824, _51822), -(distinct_points(_51824, _51820)), -(apart_point_and_line(_51820, _51822))], (94 ^ _48959) ^ [_52144, _52146, _52148] : [apart_point_and_line(_52148, _52146), -(distinct_lines(_52146, _52144)), -(apart_point_and_line(_52148, _52144))], (104 ^ _48959) ^ [_52448, _52450, _52452] : [convergent_lines(_52452, _52450), -(distinct_lines(_52450, _52448)), -(convergent_lines(_52452, _52448))], (114 ^ _48959) ^ [_52784, _52786] : [distinct_lines(_52786, _52784), -(convergent_lines(_52786, _52784))], (120 ^ _48959) ^ [_52998, _53000] : [convergent_lines(parallel_through_point(_52998, _53000), _52998)], (122 ^ _48959) ^ [_53094, _53096] : [apart_point_and_line(_53096, parallel_through_point(_53094, _53096))], (124 ^ _48959) ^ [_53200, _53202, _53204] : [distinct_lines(_53202, _53200), -(apart_point_and_line(_53204, _53202)), -(apart_point_and_line(_53204, _53200)), -(convergent_lines(_53202, _53200))], (138 ^ _48959) ^ [_53628, _53630] : [-(convergent_lines(_53630, _53628)), -(unorthogonal_lines(_53630, _53628))], (144 ^ _48959) ^ [_53853, _53855, _53857] : [convergent_lines(_53857, _53855), unorthogonal_lines(_53857, _53855), 153 ^ _48959 : [(154 ^ _48959) ^ [] : [-(convergent_lines(_53857, _53853))], (156 ^ _48959) ^ [] : [-(unorthogonal_lines(_53857, _53853))]], 157 ^ _48959 : [(158 ^ _48959) ^ [] : [-(convergent_lines(_53855, _53853))], (160 ^ _48959) ^ [] : [-(unorthogonal_lines(_53855, _53853))]]], (162 ^ _48959) ^ [_54396, _54398] : [unorthogonal_lines(orthogonal_through_point(_54396, _54398), _54396)], (164 ^ _48959) ^ [_54492, _54494] : [apart_point_and_line(_54494, orthogonal_through_point(_54492, _54494))], (166 ^ _48959) ^ [_54612, _54614, _54616, _54618] : [distinct_lines(_54616, _54614), -(apart_point_and_line(_54618, _54616)), -(apart_point_and_line(_54618, _54614)), -(unorthogonal_lines(_54616, _54612)), -(unorthogonal_lines(_54614, _54612))], (184 ^ _48959) ^ [_55156, _55158] : [-(convergent_lines(_55158, _55156)), -(unorthogonal_lines(_55158, _55156))], (208 ^ _48959) ^ [_55950, _55952, _55954] : [convergent_lines(_55952, _55950), -(unorthogonal_lines(_55954, _55952)), -(unorthogonal_lines(_55954, _55950))], (190 ^ _48959) ^ [_55385, _55387, _55389] : [193 ^ _48959 : [(194 ^ _48959) ^ [] : [-(convergent_lines(_55389, _55387))], (196 ^ _48959) ^ [] : [-(unorthogonal_lines(_55389, _55387))]], 197 ^ _48959 : [(198 ^ _48959) ^ [] : [-(convergent_lines(_55389, _55385))], (200 ^ _48959) ^ [] : [-(unorthogonal_lines(_55389, _55385))]], convergent_lines(_55387, _55385), unorthogonal_lines(_55387, _55385)], (218 ^ _48959) ^ [_56290, _56292] : [-(line(line_connecting(_56292, _56290))), point(_56292), point(_56290), distinct_points(_56292, _56290)], (232 ^ _48959) ^ [_56678, _56680] : [-(point(intersection_point(_56680, _56678))), line(_56680), line(_56678), convergent_lines(_56680, _56678)], (246 ^ _48959) ^ [_57066, _57068] : [-(line(parallel_through_point(_57068, _57066))), line(_57068), point(_57066)], (256 ^ _48959) ^ [_57345, _57347] : [-(line(orthogonal_through_point(_57347, _57345))), line(_57347), point(_57345)], (266 ^ _48959) ^ [_57679, _57681] : [equal_points(_57681, _57679), distinct_points(_57681, _57679)], (272 ^ _48959) ^ [_57842, _57844] : [-(distinct_points(_57844, _57842)), -(equal_points(_57844, _57842))], (278 ^ _48959) ^ [_58086, _58088] : [equal_lines(_58088, _58086), distinct_lines(_58088, _58086)], (284 ^ _48959) ^ [_58249, _58251] : [-(distinct_lines(_58251, _58249)), -(equal_lines(_58251, _58249))], (290 ^ _48959) ^ [_58493, _58495] : [parallel_lines(_58495, _58493), convergent_lines(_58495, _58493)], (296 ^ _48959) ^ [_58656, _58658] : [-(convergent_lines(_58658, _58656)), -(parallel_lines(_58658, _58656))], (302 ^ _48959) ^ [_58900, _58902] : [incident_point_and_line(_58902, _58900), apart_point_and_line(_58902, _58900)], (308 ^ _48959) ^ [_59063, _59065] : [-(apart_point_and_line(_59065, _59063)), -(incident_point_and_line(_59065, _59063))], (314 ^ _48959) ^ [_59287, _59289] : [orthogonal_lines(_59289, _59287), unorthogonal_lines(_59289, _59287)], (320 ^ _48959) ^ [_59450, _59452] : [-(unorthogonal_lines(_59452, _59450)), -(orthogonal_lines(_59452, _59450))]], input).
% 0.37/1.38  ncf('1',plain,[distinct_lines(325 ^ [], 326 ^ [])],start(330 ^ 0)).
% 0.37/1.38  ncf('1.1',plain,[-(distinct_lines(325 ^ [], 326 ^ [])), distinct_lines(326 ^ [], 325 ^ []), -(distinct_lines(326 ^ [], 326 ^ []))],extension(18 ^ 1,bind([[_49661, _49663, _49665], [326 ^ [], 325 ^ [], 326 ^ []]]))).
% 0.37/1.38  ncf('1.1.1',plain,[-(distinct_lines(326 ^ [], 325 ^ [])), convergent_lines(325 ^ [], 326 ^ []), -(convergent_lines(325 ^ [], 325 ^ []))],extension(104 ^ 2,bind([[_52448, _52450, _52452], [325 ^ [], 326 ^ [], 325 ^ []]]))).
% 0.37/1.38  ncf('1.1.1.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(328 ^ 3)).
% 0.37/1.38  ncf('1.1.1.2',plain,[convergent_lines(325 ^ [], 325 ^ [])],extension(6 ^ 3,bind([[_49216], [325 ^ []]]))).
% 0.37/1.38  ncf('1.1.2',plain,[distinct_lines(326 ^ [], 326 ^ [])],extension(4 ^ 2,bind([[_49139], [326 ^ []]]))).
% 0.37/1.38  %-----------------------------------------------------
% 0.37/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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