TSTP Solution File: GEO212+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO212+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 11:12:14 EDT 2023
% Result : Theorem 43.47s 42.85s
% Output : Proof 43.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO212+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 19 04:09:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 43.47/42.85
% 43.47/42.85 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.47/42.85 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.47/42.85 %-----------------------------------------------------
% 43.47/42.85 ncf(matrix, plain, [(181 ^ _39642) ^ [] : [unorthogonal_lines(174 ^ [], 175 ^ [])], (179 ^ _39642) ^ [] : [convergent_lines(173 ^ [], 175 ^ [])], (177 ^ _39642) ^ [] : [-(unorthogonal_lines(173 ^ [], 174 ^ []))], !, (84 ^ _33802) ^ [_36586, _36588, _36590] : [apart_point_and_line(_36590, _36588), -(distinct_points(_36590, _36586)), -(apart_point_and_line(_36586, _36588))], (128 ^ _33802) ^ [_38046, _38048] : [-(convergent_lines(_38048, _38046)), -(unorthogonal_lines(_38048, _38046))], (156 ^ _33802) ^ [_39030, _39032, _39034, _39036] : [distinct_lines(_39034, _39032), -(apart_point_and_line(_39036, _39034)), -(apart_point_and_line(_39036, _39032)), -(unorthogonal_lines(_39034, _39030)), -(unorthogonal_lines(_39032, _39030))], (94 ^ _33802) ^ [_36910, _36912, _36914] : [apart_point_and_line(_36914, _36912), -(distinct_lines(_36912, _36910)), -(apart_point_and_line(_36914, _36910))], (28 ^ _33802) ^ [_34808, _34810, _34812] : [convergent_lines(_34812, _34810), -(convergent_lines(_34812, _34808)), -(convergent_lines(_34810, _34808))], (62 ^ _33802) ^ [_35957, _35959, _35961, _35963] : [distinct_points(_35963, _35961), distinct_lines(_35959, _35957), -(apart_point_and_line(_35963, _35959)), -(apart_point_and_line(_35963, _35957)), -(apart_point_and_line(_35961, _35959)), -(apart_point_and_line(_35961, _35957))], (6 ^ _33802) ^ [_34039] : [convergent_lines(_34039, _34039)], (154 ^ _33802) ^ [_38910, _38912] : [apart_point_and_line(_38912, orthogonal_through_point(_38910, _38912))], (134 ^ _33802) ^ [_38271, _38273, _38275] : [convergent_lines(_38275, _38273), unorthogonal_lines(_38275, _38273), 143 ^ _33802 : [(146 ^ _33802) ^ [] : [-(unorthogonal_lines(_38275, _38271))], (144 ^ _33802) ^ [] : [-(convergent_lines(_38275, _38271))]], 147 ^ _33802 : [(150 ^ _33802) ^ [] : [-(unorthogonal_lines(_38273, _38271))], (148 ^ _33802) ^ [] : [-(convergent_lines(_38273, _38271))]]], (4 ^ _33802) ^ [_33962] : [distinct_lines(_33962, _33962)], (112 ^ _33802) ^ [_37532, _37534] : [apart_point_and_line(_37534, parallel_through_point(_37532, _37534))], (50 ^ _33802) ^ [_35538, _35540, _35542] : [convergent_lines(_35542, _35540), 55 ^ _33802 : [(58 ^ _33802) ^ [] : [apart_point_and_line(_35538, _35540)], (56 ^ _33802) ^ [] : [apart_point_and_line(_35538, _35542)]], -(distinct_points(_35538, intersection_point(_35542, _35540)))], (18 ^ _33802) ^ [_34484, _34486, _34488] : [distinct_lines(_34488, _34486), -(distinct_lines(_34488, _34484)), -(distinct_lines(_34486, _34484))], (152 ^ _33802) ^ [_38814, _38816] : [unorthogonal_lines(orthogonal_through_point(_38814, _38816), _38814)], (104 ^ _33802) ^ [_37200, _37202] : [convergent_lines(_37202, _37200), -(distinct_lines(_37202, _37200))], (110 ^ _33802) ^ [_37436, _37438] : [convergent_lines(parallel_through_point(_37436, _37438), _37436)], (2 ^ _33802) ^ [_33885] : [distinct_points(_33885, _33885)], (114 ^ _33802) ^ [_37638, _37640, _37642] : [distinct_lines(_37640, _37638), -(apart_point_and_line(_37642, _37640)), -(apart_point_and_line(_37642, _37638)), -(convergent_lines(_37640, _37638))], (38 ^ _33802) ^ [_35132, _35134, _35136] : [distinct_points(_35136, _35134), apart_point_and_line(_35132, line_connecting(_35136, _35134)), 45 ^ _33802 : [(48 ^ _33802) ^ [] : [-(distinct_points(_35132, _35134))], (46 ^ _33802) ^ [] : [-(distinct_points(_35132, _35136))]]], (8 ^ _33802) ^ [_34160, _34162, _34164] : [distinct_points(_34164, _34162), -(distinct_points(_34164, _34160)), -(distinct_points(_34162, _34160))]], input).
% 43.47/42.85 ncf('1',plain,[unorthogonal_lines(174 ^ [], 175 ^ [])],start(181 ^ 0)).
% 43.47/42.85 ncf('1.1',plain,[-(unorthogonal_lines(174 ^ [], 175 ^ [])), -(convergent_lines(174 ^ [], 175 ^ []))],extension(128 ^ 1,bind([[_38046, _38048], [175 ^ [], 174 ^ []]]))).
% 43.47/42.85 ncf('1.1.1',plain,[convergent_lines(174 ^ [], 175 ^ []), -(convergent_lines(174 ^ [], 174 ^ [])), -(convergent_lines(175 ^ [], 174 ^ []))],extension(28 ^ 2,bind([[_34808, _34810, _34812], [174 ^ [], 175 ^ [], 174 ^ []]]))).
% 43.47/42.85 ncf('1.1.1.1',plain,[convergent_lines(174 ^ [], 174 ^ []), -(convergent_lines(174 ^ [], 174 ^ [])), -(convergent_lines(174 ^ [], 174 ^ []))],extension(28 ^ 3,bind([[_34808, _34810, _34812], [174 ^ [], 174 ^ [], 174 ^ []]]))).
% 43.47/42.85 ncf('1.1.1.1.1',plain,[convergent_lines(174 ^ [], 174 ^ []), -(convergent_lines(174 ^ [], 174 ^ [])), -(convergent_lines(174 ^ [], 174 ^ []))],extension(28 ^ 4,bind([[_34808, _34810, _34812], [174 ^ [], 174 ^ [], 174 ^ []]]))).
% 43.47/42.85 ncf('1.1.1.1.1.1',plain,[convergent_lines(174 ^ [], 174 ^ [])],extension(6 ^ 5,bind([[_34039], [174 ^ []]]))).
% 43.47/42.85 ncf('1.1.1.1.1.2',plain,[convergent_lines(174 ^ [], 174 ^ [])],extension(6 ^ 5,bind([[_34039], [174 ^ []]]))).
% 43.47/42.85 ncf('1.1.1.1.2',plain,[convergent_lines(174 ^ [], 174 ^ [])],extension(6 ^ 4,bind([[_34039], [174 ^ []]]))).
% 43.47/42.85 ncf('1.1.1.2',plain,[convergent_lines(175 ^ [], 174 ^ []), -(convergent_lines(175 ^ [], 173 ^ [])), -(convergent_lines(174 ^ [], 173 ^ []))],extension(28 ^ 3,bind([[_34808, _34810, _34812], [173 ^ [], 174 ^ [], 175 ^ []]]))).
% 43.47/42.85 ncf('1.1.1.2.1',plain,[convergent_lines(175 ^ [], 173 ^ []), -(convergent_lines(175 ^ [], 175 ^ [])), -(convergent_lines(173 ^ [], 175 ^ []))],extension(28 ^ 4,bind([[_34808, _34810, _34812], [175 ^ [], 173 ^ [], 175 ^ []]]))).
% 43.47/42.85 ncf('1.1.1.2.1.1',plain,[convergent_lines(175 ^ [], 175 ^ [])],extension(6 ^ 5,bind([[_34039], [175 ^ []]]))).
% 43.47/42.85 ncf('1.1.1.2.1.2',plain,[convergent_lines(173 ^ [], 175 ^ [])],extension(179 ^ 5)).
% 43.47/42.85 ncf('1.1.1.2.2',plain,[convergent_lines(174 ^ [], 173 ^ []), -(convergent_lines(174 ^ [], 174 ^ [])), -(convergent_lines(173 ^ [], 174 ^ []))],extension(28 ^ 4,bind([[_34808, _34810, _34812], [174 ^ [], 173 ^ [], 174 ^ []]]))).
% 43.47/42.85 ncf('1.1.1.2.2.1',plain,[convergent_lines(174 ^ [], 174 ^ [])],extension(6 ^ 5,bind([[_34039], [174 ^ []]]))).
% 43.47/42.85 ncf('1.1.1.2.2.2',plain,[convergent_lines(173 ^ [], 174 ^ []), unorthogonal_lines(173 ^ [], 174 ^ []), 144 : -(convergent_lines(173 ^ [], 175 ^ [])), 150 : -(unorthogonal_lines(174 ^ [], 175 ^ []))],extension(134 ^ 5,bind([[_38271, _38273, _38275], [175 ^ [], 174 ^ [], 173 ^ []]]))).
% 43.47/42.85 ncf('1.1.1.2.2.2.1',plain,[-(unorthogonal_lines(173 ^ [], 174 ^ []))],extension(177 ^ 6)).
% 43.47/42.85 ncf('1.1.1.2.2.2.2',plain,[convergent_lines(173 ^ [], 175 ^ [])],extension(179 ^ 8)).
% 43.47/42.85 ncf('1.1.1.2.2.2.3',plain,[unorthogonal_lines(174 ^ [], 175 ^ [])],reduction('1')).
% 43.47/42.85 %-----------------------------------------------------
% 43.47/42.85 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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