TSTP Solution File: GEO196+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO196+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 11:12:10 EDT 2023
% Result : Theorem 0.38s 1.37s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO196+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n028.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 04:31:18 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.38/1.37
% 0.38/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.38/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.37 %-----------------------------------------------------
% 0.38/1.37 ncf(matrix, plain, [(114 ^ _24070) ^ [] : [-(convergent_lines(109 ^ [], 110 ^ []))], (116 ^ _24070) ^ [] : [-(convergent_lines(111 ^ [], 112 ^ []))], (118 ^ _24070) ^ [] : [apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])], (120 ^ _24070) ^ [] : [apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 112 ^ [])], (122 ^ _24070) ^ [] : [-(apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 110 ^ []))], (2 ^ _24070) ^ [_24153] : [distinct_points(_24153, _24153)], (4 ^ _24070) ^ [_24230] : [distinct_lines(_24230, _24230)], (6 ^ _24070) ^ [_24307] : [convergent_lines(_24307, _24307)], (8 ^ _24070) ^ [_24428, _24430, _24432] : [distinct_points(_24432, _24430), -(distinct_points(_24432, _24428)), -(distinct_points(_24430, _24428))], (18 ^ _24070) ^ [_24752, _24754, _24756] : [distinct_lines(_24756, _24754), -(distinct_lines(_24756, _24752)), -(distinct_lines(_24754, _24752))], (28 ^ _24070) ^ [_25076, _25078, _25080] : [convergent_lines(_25080, _25078), -(convergent_lines(_25080, _25076)), -(convergent_lines(_25078, _25076))], (38 ^ _24070) ^ [_25400, _25402, _25404] : [distinct_points(_25404, _25402), apart_point_and_line(_25400, line_connecting(_25404, _25402)), 45 ^ _24070 : [(46 ^ _24070) ^ [] : [-(distinct_points(_25400, _25404))], (48 ^ _24070) ^ [] : [-(distinct_points(_25400, _25402))]]], (50 ^ _24070) ^ [_25806, _25808, _25810] : [convergent_lines(_25810, _25808), 55 ^ _24070 : [(56 ^ _24070) ^ [] : [apart_point_and_line(_25806, _25810)], (58 ^ _24070) ^ [] : [apart_point_and_line(_25806, _25808)]], -(distinct_points(_25806, intersection_point(_25810, _25808)))], (62 ^ _24070) ^ [_26225, _26227, _26229, _26231] : [distinct_points(_26231, _26229), distinct_lines(_26227, _26225), -(apart_point_and_line(_26231, _26227)), -(apart_point_and_line(_26231, _26225)), -(apart_point_and_line(_26229, _26227)), -(apart_point_and_line(_26229, _26225))], (84 ^ _24070) ^ [_26854, _26856, _26858] : [apart_point_and_line(_26858, _26856), -(distinct_points(_26858, _26854)), -(apart_point_and_line(_26854, _26856))], (104 ^ _24070) ^ [_27468, _27470] : [convergent_lines(_27470, _27468), -(distinct_lines(_27470, _27468))], (94 ^ _24070) ^ [_27178, _27180, _27182] : [apart_point_and_line(_27182, _27180), -(distinct_lines(_27180, _27178)), -(apart_point_and_line(_27182, _27178))]], input).
% 0.38/1.37 ncf('1',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])],start(118 ^ 0)).
% 0.38/1.37 ncf('1.1',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])), distinct_points(intersection_point(111 ^ [], 112 ^ []), intersection_point(109 ^ [], 110 ^ [])), distinct_lines(111 ^ [], 112 ^ []), -(apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 111 ^ [])), -(apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 112 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 112 ^ []))],extension(62 ^ 1,bind([[_26225, _26227, _26229, _26231], [112 ^ [], 111 ^ [], intersection_point(109 ^ [], 110 ^ []), intersection_point(111 ^ [], 112 ^ [])]]))).
% 0.38/1.37 ncf('1.1.1',plain,[-(distinct_points(intersection_point(111 ^ [], 112 ^ []), intersection_point(109 ^ [], 110 ^ []))), convergent_lines(109 ^ [], 110 ^ []), 56 : apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 109 ^ [])],extension(50 ^ 2,bind([[_25806, _25808, _25810], [intersection_point(111 ^ [], 112 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.38/1.37 ncf('1.1.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(114 ^ 3)).
% 0.38/1.37 ncf('1.1.1.2',plain,[-(apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 110 ^ []))],extension(122 ^ 5)).
% 0.38/1.37 ncf('1.1.1.2.1',plain,[apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 110 ^ [])],extension(58 ^ 6)).
% 0.38/1.37 ncf('1.1.2',plain,[-(distinct_lines(111 ^ [], 112 ^ [])), distinct_lines(111 ^ [], 112 ^ []), -(distinct_lines(112 ^ [], 112 ^ []))],extension(18 ^ 2,bind([[_24752, _24754, _24756], [112 ^ [], 112 ^ [], 111 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.1',plain,[-(distinct_lines(111 ^ [], 112 ^ [])), distinct_lines(111 ^ [], 112 ^ []), -(distinct_lines(112 ^ [], 112 ^ []))],extension(18 ^ 3,bind([[_24752, _24754, _24756], [112 ^ [], 112 ^ [], 111 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.1.1',plain,[-(distinct_lines(111 ^ [], 112 ^ [])), convergent_lines(111 ^ [], 112 ^ [])],extension(104 ^ 4,bind([[_27468, _27470], [112 ^ [], 111 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.1.1.1',plain,[-(convergent_lines(111 ^ [], 112 ^ []))],extension(116 ^ 5)).
% 0.38/1.37 ncf('1.1.2.1.2',plain,[distinct_lines(112 ^ [], 112 ^ [])],extension(4 ^ 4,bind([[_24230], [112 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.2',plain,[distinct_lines(112 ^ [], 112 ^ [])],extension(4 ^ 3,bind([[_24230], [112 ^ []]]))).
% 0.38/1.37 ncf('1.1.3',plain,[apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 111 ^ []), convergent_lines(111 ^ [], 112 ^ []), -(distinct_points(intersection_point(111 ^ [], 112 ^ []), intersection_point(111 ^ [], 112 ^ [])))],extension(50 ^ 2,bind([[_25806, _25808, _25810], [intersection_point(111 ^ [], 112 ^ []), 112 ^ [], 111 ^ []]]))).
% 0.38/1.37 ncf('1.1.3.1',plain,[-(convergent_lines(111 ^ [], 112 ^ []))],extension(116 ^ 3)).
% 0.38/1.37 ncf('1.1.3.2',plain,[distinct_points(intersection_point(111 ^ [], 112 ^ []), intersection_point(111 ^ [], 112 ^ []))],extension(2 ^ 3,bind([[_24153], [intersection_point(111 ^ [], 112 ^ [])]]))).
% 0.38/1.37 ncf('1.1.4',plain,[apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 112 ^ []), convergent_lines(111 ^ [], 112 ^ []), -(distinct_points(intersection_point(111 ^ [], 112 ^ []), intersection_point(111 ^ [], 112 ^ [])))],extension(50 ^ 2,bind([[_25806, _25808, _25810], [intersection_point(111 ^ [], 112 ^ []), 112 ^ [], 111 ^ []]]))).
% 0.38/1.37 ncf('1.1.4.1',plain,[-(convergent_lines(111 ^ [], 112 ^ []))],extension(116 ^ 3)).
% 0.38/1.37 ncf('1.1.4.2',plain,[distinct_points(intersection_point(111 ^ [], 112 ^ []), intersection_point(111 ^ [], 112 ^ []))],extension(2 ^ 3,bind([[_24153], [intersection_point(111 ^ [], 112 ^ [])]]))).
% 0.38/1.37 ncf('1.1.5',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 112 ^ [])],extension(120 ^ 2)).
% 0.38/1.37 %-----------------------------------------------------
% 0.38/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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