TSTP Solution File: GEO216+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO216+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n022.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 11:12:15 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO216+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n022.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 04:04:31 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(327 ^ _48434) ^ [] : [-(orthogonal_lines(325 ^ [], 325 ^ []))], (2 ^ _48434) ^ [_48537] : [distinct_points(_48537, _48537)], (4 ^ _48434) ^ [_48614] : [distinct_lines(_48614, _48614)], (6 ^ _48434) ^ [_48691] : [convergent_lines(_48691, _48691)], (8 ^ _48434) ^ [_48812, _48814, _48816] : [distinct_points(_48816, _48814), -(distinct_points(_48816, _48812)), -(distinct_points(_48814, _48812))], (18 ^ _48434) ^ [_49136, _49138, _49140] : [distinct_lines(_49140, _49138), -(distinct_lines(_49140, _49136)), -(distinct_lines(_49138, _49136))], (28 ^ _48434) ^ [_49460, _49462, _49464] : [convergent_lines(_49464, _49462), -(convergent_lines(_49464, _49460)), -(convergent_lines(_49462, _49460))], (38 ^ _48434) ^ [_49770, _49772] : [distinct_points(_49772, _49770), apart_point_and_line(_49772, line_connecting(_49772, _49770))], (44 ^ _48434) ^ [_49987, _49989] : [distinct_points(_49989, _49987), apart_point_and_line(_49987, line_connecting(_49989, _49987))], (50 ^ _48434) ^ [_50204, _50206] : [convergent_lines(_50206, _50204), apart_point_and_line(intersection_point(_50206, _50204), _50206)], (56 ^ _48434) ^ [_50421, _50423] : [convergent_lines(_50423, _50421), apart_point_and_line(intersection_point(_50423, _50421), _50421)], (62 ^ _48434) ^ [_50666, _50668, _50670, _50672] : [distinct_points(_50672, _50670), distinct_lines(_50668, _50666), -(apart_point_and_line(_50672, _50668)), -(apart_point_and_line(_50672, _50666)), -(apart_point_and_line(_50670, _50668)), -(apart_point_and_line(_50670, _50666))], (84 ^ _48434) ^ [_51295, _51297, _51299] : [apart_point_and_line(_51299, _51297), -(distinct_points(_51299, _51295)), -(apart_point_and_line(_51295, _51297))], (94 ^ _48434) ^ [_51619, _51621, _51623] : [apart_point_and_line(_51623, _51621), -(distinct_lines(_51621, _51619)), -(apart_point_and_line(_51623, _51619))], (104 ^ _48434) ^ [_51923, _51925, _51927] : [convergent_lines(_51927, _51925), -(distinct_lines(_51925, _51923)), -(convergent_lines(_51927, _51923))], (114 ^ _48434) ^ [_52259, _52261] : [distinct_lines(_52261, _52259), -(convergent_lines(_52261, _52259))], (120 ^ _48434) ^ [_52473, _52475] : [convergent_lines(parallel_through_point(_52473, _52475), _52473)], (122 ^ _48434) ^ [_52569, _52571] : [apart_point_and_line(_52571, parallel_through_point(_52569, _52571))], (124 ^ _48434) ^ [_52675, _52677, _52679] : [distinct_lines(_52677, _52675), -(apart_point_and_line(_52679, _52677)), -(apart_point_and_line(_52679, _52675)), -(convergent_lines(_52677, _52675))], (138 ^ _48434) ^ [_53103, _53105] : [-(convergent_lines(_53105, _53103)), -(unorthogonal_lines(_53105, _53103))], (144 ^ _48434) ^ [_53328, _53330, _53332] : [convergent_lines(_53332, _53330), unorthogonal_lines(_53332, _53330), 153 ^ _48434 : [(154 ^ _48434) ^ [] : [-(convergent_lines(_53332, _53328))], (156 ^ _48434) ^ [] : [-(unorthogonal_lines(_53332, _53328))]], 157 ^ _48434 : [(158 ^ _48434) ^ [] : [-(convergent_lines(_53330, _53328))], (160 ^ _48434) ^ [] : [-(unorthogonal_lines(_53330, _53328))]]], (162 ^ _48434) ^ [_53871, _53873] : [unorthogonal_lines(orthogonal_through_point(_53871, _53873), _53871)], (164 ^ _48434) ^ [_53967, _53969] : [apart_point_and_line(_53969, orthogonal_through_point(_53967, _53969))], (166 ^ _48434) ^ [_54087, _54089, _54091, _54093] : [distinct_lines(_54091, _54089), -(apart_point_and_line(_54093, _54091)), -(apart_point_and_line(_54093, _54089)), -(unorthogonal_lines(_54091, _54087)), -(unorthogonal_lines(_54089, _54087))], (184 ^ _48434) ^ [_54631, _54633] : [-(convergent_lines(_54633, _54631)), -(unorthogonal_lines(_54633, _54631))], (208 ^ _48434) ^ [_55425, _55427, _55429] : [convergent_lines(_55427, _55425), -(unorthogonal_lines(_55429, _55427)), -(unorthogonal_lines(_55429, _55425))], (190 ^ _48434) ^ [_54860, _54862, _54864] : [193 ^ _48434 : [(194 ^ _48434) ^ [] : [-(convergent_lines(_54864, _54862))], (196 ^ _48434) ^ [] : [-(unorthogonal_lines(_54864, _54862))]], 197 ^ _48434 : [(198 ^ _48434) ^ [] : [-(convergent_lines(_54864, _54860))], (200 ^ _48434) ^ [] : [-(unorthogonal_lines(_54864, _54860))]], convergent_lines(_54862, _54860), unorthogonal_lines(_54862, _54860)], (218 ^ _48434) ^ [_55765, _55767] : [-(line(line_connecting(_55767, _55765))), point(_55767), point(_55765), distinct_points(_55767, _55765)], (232 ^ _48434) ^ [_56153, _56155] : [-(point(intersection_point(_56155, _56153))), line(_56155), line(_56153), convergent_lines(_56155, _56153)], (246 ^ _48434) ^ [_56541, _56543] : [-(line(parallel_through_point(_56543, _56541))), line(_56543), point(_56541)], (256 ^ _48434) ^ [_56820, _56822] : [-(line(orthogonal_through_point(_56822, _56820))), line(_56822), point(_56820)], (266 ^ _48434) ^ [_57154, _57156] : [equal_points(_57156, _57154), distinct_points(_57156, _57154)], (272 ^ _48434) ^ [_57317, _57319] : [-(distinct_points(_57319, _57317)), -(equal_points(_57319, _57317))], (278 ^ _48434) ^ [_57561, _57563] : [equal_lines(_57563, _57561), distinct_lines(_57563, _57561)], (284 ^ _48434) ^ [_57724, _57726] : [-(distinct_lines(_57726, _57724)), -(equal_lines(_57726, _57724))], (290 ^ _48434) ^ [_57968, _57970] : [parallel_lines(_57970, _57968), convergent_lines(_57970, _57968)], (296 ^ _48434) ^ [_58131, _58133] : [-(convergent_lines(_58133, _58131)), -(parallel_lines(_58133, _58131))], (302 ^ _48434) ^ [_58375, _58377] : [incident_point_and_line(_58377, _58375), apart_point_and_line(_58377, _58375)], (308 ^ _48434) ^ [_58538, _58540] : [-(apart_point_and_line(_58540, _58538)), -(incident_point_and_line(_58540, _58538))], (314 ^ _48434) ^ [_58762, _58764] : [orthogonal_lines(_58764, _58762), unorthogonal_lines(_58764, _58762)], (320 ^ _48434) ^ [_58925, _58927] : [-(unorthogonal_lines(_58927, _58925)), -(orthogonal_lines(_58927, _58925))]], input).
% 0.33/1.38  ncf('1',plain,[convergent_lines(325 ^ [], 325 ^ [])],start(6 ^ 0,bind([[_48691], [325 ^ []]]))).
% 0.33/1.38  ncf('1.1',plain,[-(convergent_lines(325 ^ [], 325 ^ [])), -(unorthogonal_lines(325 ^ [], 325 ^ []))],extension(138 ^ 1,bind([[_53103, _53105], [325 ^ [], 325 ^ []]]))).
% 0.33/1.38  ncf('1.1.1',plain,[unorthogonal_lines(325 ^ [], 325 ^ []), orthogonal_lines(325 ^ [], 325 ^ [])],extension(314 ^ 2,bind([[_58762, _58764], [325 ^ [], 325 ^ []]]))).
% 0.33/1.38  ncf('1.1.1.1',plain,[-(orthogonal_lines(325 ^ [], 325 ^ []))],extension(327 ^ 3)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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