TSTP Solution File: GEO177+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO177+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n007.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 11:12:04 EDT 2023
% Result : Theorem 0.37s 1.38s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO177+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n007.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 03:57:23 EDT 2023
% 0.12/0.33 % 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, [(118 ^ _23946) ^ [] : [-(distinct_points(113 ^ [], 114 ^ []))], (120 ^ _23946) ^ [] : [-(distinct_points(115 ^ [], 116 ^ []))], (128 ^ _23946) ^ [] : [apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ []))], (130 ^ _23946) ^ [] : [apart_point_and_line(116 ^ [], line_connecting(113 ^ [], 114 ^ []))], (122 ^ _23946) ^ [] : [-(apart_point_and_line(113 ^ [], line_connecting(115 ^ [], 116 ^ []))), -(apart_point_and_line(114 ^ [], line_connecting(115 ^ [], 116 ^ [])))], (2 ^ _23946) ^ [_24029] : [distinct_points(_24029, _24029)], (4 ^ _23946) ^ [_24106] : [distinct_lines(_24106, _24106)], (6 ^ _23946) ^ [_24183] : [convergent_lines(_24183, _24183)], (8 ^ _23946) ^ [_24304, _24306, _24308] : [distinct_points(_24308, _24306), -(distinct_points(_24308, _24304)), -(distinct_points(_24306, _24304))], (18 ^ _23946) ^ [_24628, _24630, _24632] : [distinct_lines(_24632, _24630), -(distinct_lines(_24632, _24628)), -(distinct_lines(_24630, _24628))], (28 ^ _23946) ^ [_24952, _24954, _24956] : [convergent_lines(_24956, _24954), -(convergent_lines(_24956, _24952)), -(convergent_lines(_24954, _24952))], (38 ^ _23946) ^ [_25262, _25264] : [distinct_points(_25264, _25262), apart_point_and_line(_25264, line_connecting(_25264, _25262))], (44 ^ _23946) ^ [_25479, _25481] : [distinct_points(_25481, _25479), apart_point_and_line(_25479, line_connecting(_25481, _25479))], (50 ^ _23946) ^ [_25696, _25698] : [convergent_lines(_25698, _25696), apart_point_and_line(intersection_point(_25698, _25696), _25698)], (56 ^ _23946) ^ [_25913, _25915] : [convergent_lines(_25915, _25913), apart_point_and_line(intersection_point(_25915, _25913), _25913)], (62 ^ _23946) ^ [_26158, _26160, _26162, _26164] : [distinct_points(_26164, _26162), distinct_lines(_26160, _26158), -(apart_point_and_line(_26164, _26160)), -(apart_point_and_line(_26164, _26158)), -(apart_point_and_line(_26162, _26160)), -(apart_point_and_line(_26162, _26158))], (84 ^ _23946) ^ [_26787, _26789, _26791] : [apart_point_and_line(_26791, _26789), -(distinct_points(_26791, _26787)), -(apart_point_and_line(_26787, _26789))], (94 ^ _23946) ^ [_27111, _27113, _27115] : [apart_point_and_line(_27115, _27113), -(distinct_lines(_27113, _27111)), -(apart_point_and_line(_27115, _27111))], (104 ^ _23946) ^ [_27415, _27417, _27419] : [convergent_lines(_27419, _27417), -(distinct_lines(_27417, _27415)), -(convergent_lines(_27419, _27415))]], input).
% 0.37/1.38 ncf('1',plain,[apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ []))],start(128 ^ 0)).
% 0.37/1.38 ncf('1.1',plain,[-(apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ []))), distinct_points(115 ^ [], 116 ^ []), distinct_lines(line_connecting(115 ^ [], 116 ^ []), line_connecting(113 ^ [], 114 ^ [])), -(apart_point_and_line(115 ^ [], line_connecting(115 ^ [], 116 ^ []))), -(apart_point_and_line(116 ^ [], line_connecting(115 ^ [], 116 ^ []))), -(apart_point_and_line(116 ^ [], line_connecting(113 ^ [], 114 ^ [])))],extension(62 ^ 1,bind([[_26158, _26160, _26162, _26164], [line_connecting(113 ^ [], 114 ^ []), line_connecting(115 ^ [], 116 ^ []), 116 ^ [], 115 ^ []]]))).
% 0.37/1.38 ncf('1.1.1',plain,[-(distinct_points(115 ^ [], 116 ^ []))],extension(120 ^ 2)).
% 0.37/1.38 ncf('1.1.2',plain,[-(distinct_lines(line_connecting(115 ^ [], 116 ^ []), line_connecting(113 ^ [], 114 ^ []))), apart_point_and_line(113 ^ [], line_connecting(115 ^ [], 116 ^ [])), -(apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ [])))],extension(94 ^ 2,bind([[_27111, _27113, _27115], [line_connecting(113 ^ [], 114 ^ []), line_connecting(115 ^ [], 116 ^ []), 113 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.1',plain,[-(apart_point_and_line(113 ^ [], line_connecting(115 ^ [], 116 ^ []))), -(apart_point_and_line(114 ^ [], line_connecting(115 ^ [], 116 ^ [])))],extension(122 ^ 3)).
% 0.37/1.38 ncf('1.1.2.1.1',plain,[apart_point_and_line(114 ^ [], line_connecting(115 ^ [], 116 ^ [])), -(distinct_lines(line_connecting(115 ^ [], 116 ^ []), line_connecting(113 ^ [], 114 ^ []))), -(apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ [])))],extension(94 ^ 4,bind([[_27111, _27113, _27115], [line_connecting(113 ^ [], 114 ^ []), line_connecting(115 ^ [], 116 ^ []), 114 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.1.1.1',plain,[distinct_lines(line_connecting(115 ^ [], 116 ^ []), line_connecting(113 ^ [], 114 ^ []))],reduction('1.1')).
% 0.37/1.38 ncf('1.1.2.1.1.2',plain,[apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(44 ^ 5,bind([[_25479, _25481], [114 ^ [], 113 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.1.1.2.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],extension(118 ^ 6)).
% 0.37/1.38 ncf('1.1.2.2',plain,[apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(38 ^ 3,bind([[_25262, _25264], [114 ^ [], 113 ^ []]]))).
% 0.37/1.38 ncf('1.1.2.2.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],extension(118 ^ 4)).
% 0.37/1.38 ncf('1.1.3',plain,[apart_point_and_line(115 ^ [], line_connecting(115 ^ [], 116 ^ [])), distinct_points(115 ^ [], 116 ^ [])],extension(38 ^ 2,bind([[_25262, _25264], [116 ^ [], 115 ^ []]]))).
% 0.37/1.38 ncf('1.1.3.1',plain,[-(distinct_points(115 ^ [], 116 ^ []))],lemmata('[1].x')).
% 0.37/1.38 ncf('1.1.4',plain,[apart_point_and_line(116 ^ [], line_connecting(115 ^ [], 116 ^ [])), distinct_points(115 ^ [], 116 ^ [])],extension(44 ^ 2,bind([[_25479, _25481], [116 ^ [], 115 ^ []]]))).
% 0.37/1.38 ncf('1.1.4.1',plain,[-(distinct_points(115 ^ [], 116 ^ []))],lemmata('[1].x')).
% 0.37/1.38 ncf('1.1.5',plain,[apart_point_and_line(116 ^ [], line_connecting(113 ^ [], 114 ^ []))],extension(130 ^ 2)).
% 0.37/1.38 %-----------------------------------------------------
% 0.37/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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