TSTP Solution File: GEO195+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO195+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n025.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 11:12:09 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
% 0.07/0.12 % Problem : GEO195+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n025.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 04:14:33 EDT 2023
% 0.12/0.34 % 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, [(113 ^ _23697) ^ [] : [-(convergent_lines(109 ^ [], 110 ^ []))], (115 ^ _23697) ^ [] : [-(convergent_lines(111 ^ [], 110 ^ []))], (117 ^ _23697) ^ [] : [-(convergent_lines(109 ^ [], 111 ^ []))], (119 ^ _23697) ^ [] : [-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ []))], (121 ^ _23697) ^ [] : [apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 111 ^ [])], (2 ^ _23697) ^ [_23780] : [distinct_points(_23780, _23780)], (4 ^ _23697) ^ [_23857] : [distinct_lines(_23857, _23857)], (6 ^ _23697) ^ [_23934] : [convergent_lines(_23934, _23934)], (8 ^ _23697) ^ [_24055, _24057, _24059] : [distinct_points(_24059, _24057), -(distinct_points(_24059, _24055)), -(distinct_points(_24057, _24055))], (18 ^ _23697) ^ [_24379, _24381, _24383] : [distinct_lines(_24383, _24381), -(distinct_lines(_24383, _24379)), -(distinct_lines(_24381, _24379))], (28 ^ _23697) ^ [_24703, _24705, _24707] : [convergent_lines(_24707, _24705), -(convergent_lines(_24707, _24703)), -(convergent_lines(_24705, _24703))], (38 ^ _23697) ^ [_25027, _25029, _25031] : [distinct_points(_25031, _25029), apart_point_and_line(_25027, line_connecting(_25031, _25029)), 45 ^ _23697 : [(46 ^ _23697) ^ [] : [-(distinct_points(_25027, _25031))], (48 ^ _23697) ^ [] : [-(distinct_points(_25027, _25029))]]], (50 ^ _23697) ^ [_25433, _25435, _25437] : [convergent_lines(_25437, _25435), 55 ^ _23697 : [(56 ^ _23697) ^ [] : [apart_point_and_line(_25433, _25437)], (58 ^ _23697) ^ [] : [apart_point_and_line(_25433, _25435)]], -(distinct_points(_25433, intersection_point(_25437, _25435)))], (62 ^ _23697) ^ [_25852, _25854, _25856, _25858] : [distinct_points(_25858, _25856), distinct_lines(_25854, _25852), -(apart_point_and_line(_25858, _25854)), -(apart_point_and_line(_25858, _25852)), -(apart_point_and_line(_25856, _25854)), -(apart_point_and_line(_25856, _25852))], (84 ^ _23697) ^ [_26481, _26483, _26485] : [apart_point_and_line(_26485, _26483), -(distinct_points(_26485, _26481)), -(apart_point_and_line(_26481, _26483))], (104 ^ _23697) ^ [_27095, _27097] : [convergent_lines(_27097, _27095), -(distinct_lines(_27097, _27095))], (94 ^ _23697) ^ [_26805, _26807, _26809] : [apart_point_and_line(_26809, _26807), -(distinct_lines(_26807, _26805)), -(apart_point_and_line(_26809, _26805))]], input).
% 0.37/1.38 ncf('1',plain,[apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 111 ^ [])],start(121 ^ 0)).
% 0.37/1.38 ncf('1.1',plain,[-(apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 111 ^ [])), apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ []), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(110 ^ [], 109 ^ [])))],extension(84 ^ 1,bind([[_26481, _26483, _26485], [intersection_point(110 ^ [], 109 ^ []), 111 ^ [], intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.37/1.38 ncf('1.1.1',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ []))],extension(119 ^ 2)).
% 0.37/1.38 ncf('1.1.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(110 ^ [], 109 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ [])), -(apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 110 ^ []))],extension(62 ^ 2,bind([[_25852, _25854, _25856, _25858], [110 ^ [], 109 ^ [], intersection_point(110 ^ [], 109 ^ []), intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.37/1.38 ncf('1.1.2.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(distinct_lines(110 ^ [], 110 ^ []))],extension(18 ^ 3,bind([[_24379, _24381, _24383], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.1.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(distinct_lines(110 ^ [], 110 ^ []))],extension(18 ^ 4,bind([[_24379, _24381, _24383], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.1.1.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), convergent_lines(109 ^ [], 110 ^ [])],extension(104 ^ 5,bind([[_27095, _27097], [110 ^ [], 109 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.1.1.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 6)).
% 0.37/1.38 ncf('1.1.2.1.1.2',plain,[distinct_lines(110 ^ [], 110 ^ [])],extension(4 ^ 5,bind([[_23857], [110 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.1.2',plain,[distinct_lines(110 ^ [], 110 ^ [])],extension(4 ^ 4,bind([[_23857], [110 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.2',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ []), convergent_lines(109 ^ [], 110 ^ []), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(50 ^ 3,bind([[_25433, _25435, _25437], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.2.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 0.37/1.38 ncf('1.1.2.2.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 4,bind([[_23780], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.37/1.38 ncf('1.1.2.3',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ []), convergent_lines(109 ^ [], 110 ^ []), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(50 ^ 3,bind([[_25433, _25435, _25437], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.3.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 0.37/1.38 ncf('1.1.2.3.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 4,bind([[_23780], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.37/1.38 ncf('1.1.2.4',plain,[apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 109 ^ []), convergent_lines(110 ^ [], 109 ^ []), -(distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(110 ^ [], 109 ^ [])))],extension(50 ^ 3,bind([[_25433, _25435, _25437], [intersection_point(110 ^ [], 109 ^ []), 109 ^ [], 110 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.4.1',plain,[-(convergent_lines(110 ^ [], 109 ^ [])), convergent_lines(109 ^ [], 110 ^ []), -(convergent_lines(109 ^ [], 109 ^ []))],extension(28 ^ 4,bind([[_24703, _24705, _24707], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.4.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 5)).
% 0.37/1.38 ncf('1.1.2.4.1.2',plain,[convergent_lines(109 ^ [], 109 ^ [])],extension(6 ^ 5,bind([[_23934], [109 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.4.2',plain,[distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(110 ^ [], 109 ^ []))],extension(2 ^ 4,bind([[_23780], [intersection_point(110 ^ [], 109 ^ [])]]))).
% 0.37/1.38 ncf('1.1.2.5',plain,[apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 110 ^ []), convergent_lines(110 ^ [], 109 ^ []), -(distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(110 ^ [], 109 ^ [])))],extension(50 ^ 3,bind([[_25433, _25435, _25437], [intersection_point(110 ^ [], 109 ^ []), 109 ^ [], 110 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.5.1',plain,[-(convergent_lines(110 ^ [], 109 ^ [])), convergent_lines(109 ^ [], 110 ^ []), -(convergent_lines(109 ^ [], 109 ^ []))],extension(28 ^ 4,bind([[_24703, _24705, _24707], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.5.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 5)).
% 0.37/1.38 ncf('1.1.2.5.1.2',plain,[convergent_lines(109 ^ [], 109 ^ [])],extension(6 ^ 5,bind([[_23934], [109 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.5.2',plain,[distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(110 ^ [], 109 ^ []))],extension(2 ^ 4,bind([[_23780], [intersection_point(110 ^ [], 109 ^ [])]]))).
% 0.37/1.38 %-----------------------------------------------------
% 0.37/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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