%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO220+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 11:12:16 EDT 2023

% Result   : Theorem 0.37s 1.37s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : GEO220+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n029.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 04:20:28 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.37/1.37  
% 0.37/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.37/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  ncf(matrix, plain, [(329 ^ _49821) ^ [] : [-(orthogonal_lines(325 ^ [], 326 ^ []))], (331 ^ _49821) ^ [] : [-(orthogonal_lines(325 ^ [], 327 ^ []))], (333 ^ _49821) ^ [] : [parallel_lines(326 ^ [], 327 ^ [])], (2 ^ _49821) ^ [_49924] : [distinct_points(_49924, _49924)], (4 ^ _49821) ^ [_50001] : [distinct_lines(_50001, _50001)], (6 ^ _49821) ^ [_50078] : [convergent_lines(_50078, _50078)], (8 ^ _49821) ^ [_50199, _50201, _50203] : [distinct_points(_50203, _50201), -(distinct_points(_50203, _50199)), -(distinct_points(_50201, _50199))], (18 ^ _49821) ^ [_50523, _50525, _50527] : [distinct_lines(_50527, _50525), -(distinct_lines(_50527, _50523)), -(distinct_lines(_50525, _50523))], (28 ^ _49821) ^ [_50847, _50849, _50851] : [convergent_lines(_50851, _50849), -(convergent_lines(_50851, _50847)), -(convergent_lines(_50849, _50847))], (38 ^ _49821) ^ [_51157, _51159] : [distinct_points(_51159, _51157), apart_point_and_line(_51159, line_connecting(_51159, _51157))], (44 ^ _49821) ^ [_51374, _51376] : [distinct_points(_51376, _51374), apart_point_and_line(_51374, line_connecting(_51376, _51374))], (50 ^ _49821) ^ [_51591, _51593] : [convergent_lines(_51593, _51591), apart_point_and_line(intersection_point(_51593, _51591), _51593)], (56 ^ _49821) ^ [_51808, _51810] : [convergent_lines(_51810, _51808), apart_point_and_line(intersection_point(_51810, _51808), _51808)], (62 ^ _49821) ^ [_52053, _52055, _52057, _52059] : [distinct_points(_52059, _52057), distinct_lines(_52055, _52053), -(apart_point_and_line(_52059, _52055)), -(apart_point_and_line(_52059, _52053)), -(apart_point_and_line(_52057, _52055)), -(apart_point_and_line(_52057, _52053))], (84 ^ _49821) ^ [_52682, _52684, _52686] : [apart_point_and_line(_52686, _52684), -(distinct_points(_52686, _52682)), -(apart_point_and_line(_52682, _52684))], (94 ^ _49821) ^ [_53006, _53008, _53010] : [apart_point_and_line(_53010, _53008), -(distinct_lines(_53008, _53006)), -(apart_point_and_line(_53010, _53006))], (104 ^ _49821) ^ [_53310, _53312, _53314] : [convergent_lines(_53314, _53312), -(distinct_lines(_53312, _53310)), -(convergent_lines(_53314, _53310))], (114 ^ _49821) ^ [_53646, _53648] : [distinct_lines(_53648, _53646), -(convergent_lines(_53648, _53646))], (120 ^ _49821) ^ [_53860, _53862] : [convergent_lines(parallel_through_point(_53860, _53862), _53860)], (122 ^ _49821) ^ [_53956, _53958] : [apart_point_and_line(_53958, parallel_through_point(_53956, _53958))], (124 ^ _49821) ^ [_54062, _54064, _54066] : [distinct_lines(_54064, _54062), -(apart_point_and_line(_54066, _54064)), -(apart_point_and_line(_54066, _54062)), -(convergent_lines(_54064, _54062))], (138 ^ _49821) ^ [_54490, _54492] : [-(convergent_lines(_54492, _54490)), -(unorthogonal_lines(_54492, _54490))], (144 ^ _49821) ^ [_54715, _54717, _54719] : [convergent_lines(_54719, _54717), unorthogonal_lines(_54719, _54717), 153 ^ _49821 : [(154 ^ _49821) ^ [] : [-(convergent_lines(_54719, _54715))], (156 ^ _49821) ^ [] : [-(unorthogonal_lines(_54719, _54715))]], 157 ^ _49821 : [(158 ^ _49821) ^ [] : [-(convergent_lines(_54717, _54715))], (160 ^ _49821) ^ [] : [-(unorthogonal_lines(_54717, _54715))]]], (162 ^ _49821) ^ [_55258, _55260] : [unorthogonal_lines(orthogonal_through_point(_55258, _55260), _55258)], (164 ^ _49821) ^ [_55354, _55356] : [apart_point_and_line(_55356, orthogonal_through_point(_55354, _55356))], (166 ^ _49821) ^ [_55474, _55476, _55478, _55480] : [distinct_lines(_55478, _55476), -(apart_point_and_line(_55480, _55478)), -(apart_point_and_line(_55480, _55476)), -(unorthogonal_lines(_55478, _55474)), -(unorthogonal_lines(_55476, _55474))], (184 ^ _49821) ^ [_56018, _56020] : [-(convergent_lines(_56020, _56018)), -(unorthogonal_lines(_56020, _56018))], (208 ^ _49821) ^ [_56812, _56814, _56816] : [convergent_lines(_56814, _56812), -(unorthogonal_lines(_56816, _56814)), -(unorthogonal_lines(_56816, _56812))], (190 ^ _49821) ^ [_56247, _56249, _56251] : [193 ^ _49821 : [(194 ^ _49821) ^ [] : [-(convergent_lines(_56251, _56249))], (196 ^ _49821) ^ [] : [-(unorthogonal_lines(_56251, _56249))]], 197 ^ _49821 : [(198 ^ _49821) ^ [] : [-(convergent_lines(_56251, _56247))], (200 ^ _49821) ^ [] : [-(unorthogonal_lines(_56251, _56247))]], convergent_lines(_56249, _56247), unorthogonal_lines(_56249, _56247)], (218 ^ _49821) ^ [_57152, _57154] : [-(line(line_connecting(_57154, _57152))), point(_57154), point(_57152), distinct_points(_57154, _57152)], (232 ^ _49821) ^ [_57540, _57542] : [-(point(intersection_point(_57542, _57540))), line(_57542), line(_57540), convergent_lines(_57542, _57540)], (246 ^ _49821) ^ [_57928, _57930] : [-(line(parallel_through_point(_57930, _57928))), line(_57930), point(_57928)], (256 ^ _49821) ^ [_58207, _58209] : [-(line(orthogonal_through_point(_58209, _58207))), line(_58209), point(_58207)], (266 ^ _49821) ^ [_58541, _58543] : [equal_points(_58543, _58541), distinct_points(_58543, _58541)], (272 ^ _49821) ^ [_58704, _58706] : [-(distinct_points(_58706, _58704)), -(equal_points(_58706, _58704))], (278 ^ _49821) ^ [_58948, _58950] : [equal_lines(_58950, _58948), distinct_lines(_58950, _58948)], (284 ^ _49821) ^ [_59111, _59113] : [-(distinct_lines(_59113, _59111)), -(equal_lines(_59113, _59111))], (290 ^ _49821) ^ [_59355, _59357] : [parallel_lines(_59357, _59355), convergent_lines(_59357, _59355)], (296 ^ _49821) ^ [_59518, _59520] : [-(convergent_lines(_59520, _59518)), -(parallel_lines(_59520, _59518))], (302 ^ _49821) ^ [_59762, _59764] : [incident_point_and_line(_59764, _59762), apart_point_and_line(_59764, _59762)], (308 ^ _49821) ^ [_59925, _59927] : [-(apart_point_and_line(_59927, _59925)), -(incident_point_and_line(_59927, _59925))], (314 ^ _49821) ^ [_60149, _60151] : [orthogonal_lines(_60151, _60149), unorthogonal_lines(_60151, _60149)], (320 ^ _49821) ^ [_60312, _60314] : [-(unorthogonal_lines(_60314, _60312)), -(orthogonal_lines(_60314, _60312))]], input).
% 0.37/1.37  ncf('1',plain,[orthogonal_lines(325 ^ [], 326 ^ []), unorthogonal_lines(325 ^ [], 326 ^ [])],start(314 ^ 0,bind([[_60149, _60151], [326 ^ [], 325 ^ []]]))).
% 0.37/1.37  ncf('1.1',plain,[-(orthogonal_lines(325 ^ [], 326 ^ []))],extension(329 ^ 1)).
% 0.37/1.37  ncf('1.2',plain,[-(unorthogonal_lines(325 ^ [], 326 ^ [])), convergent_lines(326 ^ [], 327 ^ []), -(unorthogonal_lines(325 ^ [], 327 ^ []))],extension(208 ^ 1,bind([[_56812, _56814, _56816], [327 ^ [], 326 ^ [], 325 ^ []]]))).
% 0.37/1.37  ncf('1.2.1',plain,[-(convergent_lines(326 ^ [], 327 ^ [])), -(parallel_lines(326 ^ [], 327 ^ []))],extension(296 ^ 2,bind([[_59518, _59520], [327 ^ [], 326 ^ []]]))).
% 0.37/1.37  ncf('1.2.1.1',plain,[parallel_lines(326 ^ [], 327 ^ [])],extension(333 ^ 3)).
% 0.37/1.37  ncf('1.2.2',plain,[unorthogonal_lines(325 ^ [], 327 ^ []), orthogonal_lines(325 ^ [], 327 ^ [])],extension(314 ^ 2,bind([[_60149, _60151], [327 ^ [], 325 ^ []]]))).
% 0.37/1.37  ncf('1.2.2.1',plain,[-(orthogonal_lines(325 ^ [], 327 ^ []))],extension(331 ^ 3)).
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------