TSTP Solution File: GEO196+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO196+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n011.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 0.44s 1.37s
% Output : Proof 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO196+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n011.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 04:00:03 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.44/1.37
% 0.44/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.44/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.37 %-----------------------------------------------------
% 0.44/1.37 ncf(matrix, plain, [(118 ^ _25164) ^ [] : [-(convergent_lines(113 ^ [], 114 ^ []))], (120 ^ _25164) ^ [] : [-(convergent_lines(115 ^ [], 116 ^ []))], (122 ^ _25164) ^ [] : [apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 115 ^ [])], (124 ^ _25164) ^ [] : [apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 116 ^ [])], (126 ^ _25164) ^ [] : [-(apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 113 ^ [])), -(apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 114 ^ []))], (2 ^ _25164) ^ [_25247] : [distinct_points(_25247, _25247)], (4 ^ _25164) ^ [_25324] : [distinct_lines(_25324, _25324)], (6 ^ _25164) ^ [_25401] : [convergent_lines(_25401, _25401)], (8 ^ _25164) ^ [_25522, _25524, _25526] : [distinct_points(_25526, _25524), -(distinct_points(_25526, _25522)), -(distinct_points(_25524, _25522))], (18 ^ _25164) ^ [_25846, _25848, _25850] : [distinct_lines(_25850, _25848), -(distinct_lines(_25850, _25846)), -(distinct_lines(_25848, _25846))], (28 ^ _25164) ^ [_26170, _26172, _26174] : [convergent_lines(_26174, _26172), -(convergent_lines(_26174, _26170)), -(convergent_lines(_26172, _26170))], (38 ^ _25164) ^ [_26480, _26482] : [distinct_points(_26482, _26480), apart_point_and_line(_26482, line_connecting(_26482, _26480))], (44 ^ _25164) ^ [_26697, _26699] : [distinct_points(_26699, _26697), apart_point_and_line(_26697, line_connecting(_26699, _26697))], (50 ^ _25164) ^ [_26914, _26916] : [convergent_lines(_26916, _26914), apart_point_and_line(intersection_point(_26916, _26914), _26916)], (56 ^ _25164) ^ [_27131, _27133] : [convergent_lines(_27133, _27131), apart_point_and_line(intersection_point(_27133, _27131), _27131)], (62 ^ _25164) ^ [_27376, _27378, _27380, _27382] : [distinct_points(_27382, _27380), distinct_lines(_27378, _27376), -(apart_point_and_line(_27382, _27378)), -(apart_point_and_line(_27382, _27376)), -(apart_point_and_line(_27380, _27378)), -(apart_point_and_line(_27380, _27376))], (84 ^ _25164) ^ [_28005, _28007, _28009] : [apart_point_and_line(_28009, _28007), -(distinct_points(_28009, _28005)), -(apart_point_and_line(_28005, _28007))], (94 ^ _25164) ^ [_28329, _28331, _28333] : [apart_point_and_line(_28333, _28331), -(distinct_lines(_28331, _28329)), -(apart_point_and_line(_28333, _28329))], (104 ^ _25164) ^ [_28633, _28635, _28637] : [convergent_lines(_28637, _28635), -(distinct_lines(_28635, _28633)), -(convergent_lines(_28637, _28633))]], input).
% 0.44/1.37 ncf('1',plain,[apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 116 ^ [])],start(124 ^ 0)).
% 0.44/1.37 ncf('1.1',plain,[-(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 116 ^ [])), distinct_points(intersection_point(115 ^ [], 116 ^ []), intersection_point(113 ^ [], 114 ^ [])), distinct_lines(116 ^ [], 115 ^ []), -(apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 116 ^ [])), -(apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 115 ^ [])), -(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 115 ^ []))],extension(62 ^ 1,bind([[_27376, _27378, _27380, _27382], [115 ^ [], 116 ^ [], intersection_point(113 ^ [], 114 ^ []), intersection_point(115 ^ [], 116 ^ [])]]))).
% 0.44/1.37 ncf('1.1.1',plain,[-(distinct_points(intersection_point(115 ^ [], 116 ^ []), intersection_point(113 ^ [], 114 ^ []))), apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 113 ^ []), -(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 113 ^ []))],extension(84 ^ 2,bind([[_28005, _28007, _28009], [intersection_point(113 ^ [], 114 ^ []), 113 ^ [], intersection_point(115 ^ [], 116 ^ [])]]))).
% 0.44/1.37 ncf('1.1.1.1',plain,[-(apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 113 ^ [])), -(apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 114 ^ []))],extension(126 ^ 3)).
% 0.44/1.37 ncf('1.1.1.1.1',plain,[apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 114 ^ []), -(distinct_points(intersection_point(115 ^ [], 116 ^ []), intersection_point(113 ^ [], 114 ^ []))), -(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 114 ^ []))],extension(84 ^ 4,bind([[_28005, _28007, _28009], [intersection_point(113 ^ [], 114 ^ []), 114 ^ [], intersection_point(115 ^ [], 116 ^ [])]]))).
% 0.44/1.37 ncf('1.1.1.1.1.1',plain,[distinct_points(intersection_point(115 ^ [], 116 ^ []), intersection_point(113 ^ [], 114 ^ []))],reduction('1.1')).
% 0.44/1.37 ncf('1.1.1.1.1.2',plain,[apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 114 ^ []), convergent_lines(113 ^ [], 114 ^ [])],extension(56 ^ 5,bind([[_27131, _27133], [114 ^ [], 113 ^ []]]))).
% 0.44/1.37 ncf('1.1.1.1.1.2.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],extension(118 ^ 6)).
% 0.44/1.37 ncf('1.1.1.2',plain,[apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 113 ^ []), convergent_lines(113 ^ [], 114 ^ [])],extension(50 ^ 3,bind([[_26914, _26916], [114 ^ [], 113 ^ []]]))).
% 0.44/1.37 ncf('1.1.1.2.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],extension(118 ^ 4)).
% 0.44/1.37 ncf('1.1.2',plain,[-(distinct_lines(116 ^ [], 115 ^ [])), distinct_lines(116 ^ [], 115 ^ []), -(distinct_lines(115 ^ [], 115 ^ []))],extension(18 ^ 2,bind([[_25846, _25848, _25850], [115 ^ [], 115 ^ [], 116 ^ []]]))).
% 0.44/1.37 ncf('1.1.2.1',plain,[-(distinct_lines(116 ^ [], 115 ^ [])), distinct_lines(116 ^ [], 115 ^ []), -(distinct_lines(115 ^ [], 115 ^ []))],extension(18 ^ 3,bind([[_25846, _25848, _25850], [115 ^ [], 115 ^ [], 116 ^ []]]))).
% 0.44/1.37 ncf('1.1.2.1.1',plain,[-(distinct_lines(116 ^ [], 115 ^ [])), convergent_lines(115 ^ [], 116 ^ []), -(convergent_lines(115 ^ [], 115 ^ []))],extension(104 ^ 4,bind([[_28633, _28635, _28637], [115 ^ [], 116 ^ [], 115 ^ []]]))).
% 0.44/1.37 ncf('1.1.2.1.1.1',plain,[-(convergent_lines(115 ^ [], 116 ^ []))],extension(120 ^ 5)).
% 0.44/1.37 ncf('1.1.2.1.1.2',plain,[convergent_lines(115 ^ [], 115 ^ [])],extension(6 ^ 5,bind([[_25401], [115 ^ []]]))).
% 0.44/1.37 ncf('1.1.2.1.2',plain,[distinct_lines(115 ^ [], 115 ^ [])],extension(4 ^ 4,bind([[_25324], [115 ^ []]]))).
% 0.44/1.37 ncf('1.1.2.2',plain,[distinct_lines(115 ^ [], 115 ^ [])],extension(4 ^ 3,bind([[_25324], [115 ^ []]]))).
% 0.44/1.37 ncf('1.1.3',plain,[apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 116 ^ []), convergent_lines(115 ^ [], 116 ^ [])],extension(56 ^ 2,bind([[_27131, _27133], [116 ^ [], 115 ^ []]]))).
% 0.44/1.37 ncf('1.1.3.1',plain,[-(convergent_lines(115 ^ [], 116 ^ []))],extension(120 ^ 3)).
% 0.44/1.37 ncf('1.1.4',plain,[apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 115 ^ []), convergent_lines(115 ^ [], 116 ^ [])],extension(50 ^ 2,bind([[_26914, _26916], [116 ^ [], 115 ^ []]]))).
% 0.44/1.37 ncf('1.1.4.1',plain,[-(convergent_lines(115 ^ [], 116 ^ []))],extension(120 ^ 3)).
% 0.44/1.37 ncf('1.1.5',plain,[apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 115 ^ [])],extension(122 ^ 2)).
% 0.44/1.37 %-----------------------------------------------------
% 0.44/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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