TSTP Solution File: GEO173+3 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 0.31s 1.38s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n017.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 03:53:46 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.31/1.38  
% 0.31/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  ncf(matrix, plain, [(330 ^ _50636) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (332 ^ _50636) ^ [] : [-(convergent_lines(327 ^ [], 328 ^ []))], (334 ^ _50636) ^ [] : [-(distinct_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))], (336 ^ _50636) ^ [] : [apart_point_and_line(325 ^ [], 327 ^ [])], (338 ^ _50636) ^ [] : [apart_point_and_line(326 ^ [], 327 ^ [])], (2 ^ _50636) ^ [_50739] : [distinct_points(_50739, _50739)], (4 ^ _50636) ^ [_50816] : [distinct_lines(_50816, _50816)], (6 ^ _50636) ^ [_50893] : [convergent_lines(_50893, _50893)], (8 ^ _50636) ^ [_51014, _51016, _51018] : [distinct_points(_51018, _51016), -(distinct_points(_51018, _51014)), -(distinct_points(_51016, _51014))], (18 ^ _50636) ^ [_51338, _51340, _51342] : [distinct_lines(_51342, _51340), -(distinct_lines(_51342, _51338)), -(distinct_lines(_51340, _51338))], (28 ^ _50636) ^ [_51662, _51664, _51666] : [convergent_lines(_51666, _51664), -(convergent_lines(_51666, _51662)), -(convergent_lines(_51664, _51662))], (38 ^ _50636) ^ [_51972, _51974] : [distinct_points(_51974, _51972), apart_point_and_line(_51974, line_connecting(_51974, _51972))], (44 ^ _50636) ^ [_52189, _52191] : [distinct_points(_52191, _52189), apart_point_and_line(_52189, line_connecting(_52191, _52189))], (50 ^ _50636) ^ [_52406, _52408] : [convergent_lines(_52408, _52406), apart_point_and_line(intersection_point(_52408, _52406), _52408)], (56 ^ _50636) ^ [_52623, _52625] : [convergent_lines(_52625, _52623), apart_point_and_line(intersection_point(_52625, _52623), _52623)], (62 ^ _50636) ^ [_52868, _52870, _52872, _52874] : [distinct_points(_52874, _52872), distinct_lines(_52870, _52868), -(apart_point_and_line(_52874, _52870)), -(apart_point_and_line(_52874, _52868)), -(apart_point_and_line(_52872, _52870)), -(apart_point_and_line(_52872, _52868))], (84 ^ _50636) ^ [_53497, _53499, _53501] : [apart_point_and_line(_53501, _53499), -(distinct_points(_53501, _53497)), -(apart_point_and_line(_53497, _53499))], (94 ^ _50636) ^ [_53821, _53823, _53825] : [apart_point_and_line(_53825, _53823), -(distinct_lines(_53823, _53821)), -(apart_point_and_line(_53825, _53821))], (104 ^ _50636) ^ [_54125, _54127, _54129] : [convergent_lines(_54129, _54127), -(distinct_lines(_54127, _54125)), -(convergent_lines(_54129, _54125))], (114 ^ _50636) ^ [_54461, _54463] : [distinct_lines(_54463, _54461), -(convergent_lines(_54463, _54461))], (120 ^ _50636) ^ [_54675, _54677] : [convergent_lines(parallel_through_point(_54675, _54677), _54675)], (122 ^ _50636) ^ [_54771, _54773] : [apart_point_and_line(_54773, parallel_through_point(_54771, _54773))], (124 ^ _50636) ^ [_54877, _54879, _54881] : [distinct_lines(_54879, _54877), -(apart_point_and_line(_54881, _54879)), -(apart_point_and_line(_54881, _54877)), -(convergent_lines(_54879, _54877))], (138 ^ _50636) ^ [_55305, _55307] : [-(convergent_lines(_55307, _55305)), -(unorthogonal_lines(_55307, _55305))], (144 ^ _50636) ^ [_55530, _55532, _55534] : [convergent_lines(_55534, _55532), unorthogonal_lines(_55534, _55532), 153 ^ _50636 : [(154 ^ _50636) ^ [] : [-(convergent_lines(_55534, _55530))], (156 ^ _50636) ^ [] : [-(unorthogonal_lines(_55534, _55530))]], 157 ^ _50636 : [(158 ^ _50636) ^ [] : [-(convergent_lines(_55532, _55530))], (160 ^ _50636) ^ [] : [-(unorthogonal_lines(_55532, _55530))]]], (162 ^ _50636) ^ [_56073, _56075] : [unorthogonal_lines(orthogonal_through_point(_56073, _56075), _56073)], (164 ^ _50636) ^ [_56169, _56171] : [apart_point_and_line(_56171, orthogonal_through_point(_56169, _56171))], (166 ^ _50636) ^ [_56289, _56291, _56293, _56295] : [distinct_lines(_56293, _56291), -(apart_point_and_line(_56295, _56293)), -(apart_point_and_line(_56295, _56291)), -(unorthogonal_lines(_56293, _56289)), -(unorthogonal_lines(_56291, _56289))], (184 ^ _50636) ^ [_56833, _56835] : [-(convergent_lines(_56835, _56833)), -(unorthogonal_lines(_56835, _56833))], (208 ^ _50636) ^ [_57627, _57629, _57631] : [convergent_lines(_57629, _57627), -(unorthogonal_lines(_57631, _57629)), -(unorthogonal_lines(_57631, _57627))], (190 ^ _50636) ^ [_57062, _57064, _57066] : [193 ^ _50636 : [(194 ^ _50636) ^ [] : [-(convergent_lines(_57066, _57064))], (196 ^ _50636) ^ [] : [-(unorthogonal_lines(_57066, _57064))]], 197 ^ _50636 : [(198 ^ _50636) ^ [] : [-(convergent_lines(_57066, _57062))], (200 ^ _50636) ^ [] : [-(unorthogonal_lines(_57066, _57062))]], convergent_lines(_57064, _57062), unorthogonal_lines(_57064, _57062)], (218 ^ _50636) ^ [_57967, _57969] : [-(line(line_connecting(_57969, _57967))), point(_57969), point(_57967), distinct_points(_57969, _57967)], (232 ^ _50636) ^ [_58355, _58357] : [-(point(intersection_point(_58357, _58355))), line(_58357), line(_58355), convergent_lines(_58357, _58355)], (246 ^ _50636) ^ [_58743, _58745] : [-(line(parallel_through_point(_58745, _58743))), line(_58745), point(_58743)], (256 ^ _50636) ^ [_59022, _59024] : [-(line(orthogonal_through_point(_59024, _59022))), line(_59024), point(_59022)], (266 ^ _50636) ^ [_59356, _59358] : [equal_points(_59358, _59356), distinct_points(_59358, _59356)], (272 ^ _50636) ^ [_59519, _59521] : [-(distinct_points(_59521, _59519)), -(equal_points(_59521, _59519))], (278 ^ _50636) ^ [_59763, _59765] : [equal_lines(_59765, _59763), distinct_lines(_59765, _59763)], (284 ^ _50636) ^ [_59926, _59928] : [-(distinct_lines(_59928, _59926)), -(equal_lines(_59928, _59926))], (290 ^ _50636) ^ [_60170, _60172] : [parallel_lines(_60172, _60170), convergent_lines(_60172, _60170)], (296 ^ _50636) ^ [_60333, _60335] : [-(convergent_lines(_60335, _60333)), -(parallel_lines(_60335, _60333))], (302 ^ _50636) ^ [_60577, _60579] : [incident_point_and_line(_60579, _60577), apart_point_and_line(_60579, _60577)], (308 ^ _50636) ^ [_60740, _60742] : [-(apart_point_and_line(_60742, _60740)), -(incident_point_and_line(_60742, _60740))], (314 ^ _50636) ^ [_60964, _60966] : [orthogonal_lines(_60966, _60964), unorthogonal_lines(_60966, _60964)], (320 ^ _50636) ^ [_61127, _61129] : [-(unorthogonal_lines(_61129, _61127)), -(orthogonal_lines(_61129, _61127))]], input).
% 0.31/1.38  ncf('1',plain,[apart_point_and_line(325 ^ [], 327 ^ [])],start(336 ^ 0)).
% 0.31/1.38  ncf('1.1',plain,[-(apart_point_and_line(325 ^ [], 327 ^ [])), distinct_points(325 ^ [], 326 ^ []), distinct_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ [])), -(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ []))), -(apart_point_and_line(326 ^ [], 327 ^ [])), -(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(62 ^ 1,bind([[_52868, _52870, _52872, _52874], [line_connecting(325 ^ [], 326 ^ []), 327 ^ [], 326 ^ [], 325 ^ []]]))).
% 0.31/1.38  ncf('1.1.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(330 ^ 2)).
% 0.31/1.38  ncf('1.1.2',plain,[-(distinct_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(334 ^ 2)).
% 0.31/1.38  ncf('1.1.3',plain,[apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(38 ^ 2,bind([[_51972, _51974], [326 ^ [], 325 ^ []]]))).
% 0.31/1.38  ncf('1.1.3.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],lemmata('[1].x')).
% 0.31/1.38  ncf('1.1.4',plain,[apart_point_and_line(326 ^ [], 327 ^ [])],extension(338 ^ 2)).
% 0.31/1.38  ncf('1.1.5',plain,[apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(44 ^ 2,bind([[_52189, _52191], [326 ^ [], 325 ^ []]]))).
% 0.31/1.38  ncf('1.1.5.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],lemmata('[1].x')).
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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