TSTP Solution File: GEO177+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO177+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 0.39s 1.37s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO177+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n012.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 04:33:16 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.39/1.37
% 0.39/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.39/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.37 %-----------------------------------------------------
% 0.39/1.37 ncf(matrix, plain, [(114 ^ _24818) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (116 ^ _24818) ^ [] : [-(distinct_points(111 ^ [], 112 ^ []))], (124 ^ _24818) ^ [] : [apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))], (126 ^ _24818) ^ [] : [apart_point_and_line(112 ^ [], line_connecting(109 ^ [], 110 ^ []))], (118 ^ _24818) ^ [] : [-(apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 112 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 112 ^ [])))], (2 ^ _24818) ^ [_24901] : [distinct_points(_24901, _24901)], (4 ^ _24818) ^ [_24978] : [distinct_lines(_24978, _24978)], (6 ^ _24818) ^ [_25055] : [convergent_lines(_25055, _25055)], (8 ^ _24818) ^ [_25176, _25178, _25180] : [distinct_points(_25180, _25178), -(distinct_points(_25180, _25176)), -(distinct_points(_25178, _25176))], (18 ^ _24818) ^ [_25500, _25502, _25504] : [distinct_lines(_25504, _25502), -(distinct_lines(_25504, _25500)), -(distinct_lines(_25502, _25500))], (28 ^ _24818) ^ [_25824, _25826, _25828] : [convergent_lines(_25828, _25826), -(convergent_lines(_25828, _25824)), -(convergent_lines(_25826, _25824))], (38 ^ _24818) ^ [_26148, _26150, _26152] : [distinct_points(_26152, _26150), apart_point_and_line(_26148, line_connecting(_26152, _26150)), 45 ^ _24818 : [(46 ^ _24818) ^ [] : [-(distinct_points(_26148, _26152))], (48 ^ _24818) ^ [] : [-(distinct_points(_26148, _26150))]]], (50 ^ _24818) ^ [_26554, _26556, _26558] : [convergent_lines(_26558, _26556), 55 ^ _24818 : [(56 ^ _24818) ^ [] : [apart_point_and_line(_26554, _26558)], (58 ^ _24818) ^ [] : [apart_point_and_line(_26554, _26556)]], -(distinct_points(_26554, intersection_point(_26558, _26556)))], (62 ^ _24818) ^ [_26973, _26975, _26977, _26979] : [distinct_points(_26979, _26977), distinct_lines(_26975, _26973), -(apart_point_and_line(_26979, _26975)), -(apart_point_and_line(_26979, _26973)), -(apart_point_and_line(_26977, _26975)), -(apart_point_and_line(_26977, _26973))], (84 ^ _24818) ^ [_27602, _27604, _27606] : [apart_point_and_line(_27606, _27604), -(distinct_points(_27606, _27602)), -(apart_point_and_line(_27602, _27604))], (104 ^ _24818) ^ [_28216, _28218] : [convergent_lines(_28218, _28216), -(distinct_lines(_28218, _28216))], (94 ^ _24818) ^ [_27926, _27928, _27930] : [apart_point_and_line(_27930, _27928), -(distinct_lines(_27928, _27926)), -(apart_point_and_line(_27930, _27926))]], input).
% 0.39/1.37 ncf('1',plain,[apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))],start(124 ^ 0)).
% 0.39/1.37 ncf('1.1',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))), distinct_points(111 ^ [], 112 ^ []), distinct_lines(line_connecting(111 ^ [], 112 ^ []), line_connecting(109 ^ [], 110 ^ [])), -(apart_point_and_line(111 ^ [], line_connecting(111 ^ [], 112 ^ []))), -(apart_point_and_line(112 ^ [], line_connecting(111 ^ [], 112 ^ []))), -(apart_point_and_line(112 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(62 ^ 1,bind([[_26973, _26975, _26977, _26979], [line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 112 ^ []), 112 ^ [], 111 ^ []]]))).
% 0.39/1.37 ncf('1.1.1',plain,[-(distinct_points(111 ^ [], 112 ^ []))],extension(116 ^ 2)).
% 0.39/1.37 ncf('1.1.2',plain,[-(distinct_lines(line_connecting(111 ^ [], 112 ^ []), line_connecting(109 ^ [], 110 ^ []))), apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 112 ^ [])), -(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(94 ^ 2,bind([[_27926, _27928, _27930], [line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 112 ^ []), 110 ^ []]]))).
% 0.39/1.37 ncf('1.1.2.1',plain,[-(apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 112 ^ []))), apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 112 ^ [])), -(distinct_points(109 ^ [], 110 ^ []))],extension(84 ^ 3,bind([[_27602, _27604, _27606], [110 ^ [], line_connecting(111 ^ [], 112 ^ []), 109 ^ []]]))).
% 0.39/1.37 ncf('1.1.2.1.1',plain,[-(apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 112 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 112 ^ [])))],extension(118 ^ 4)).
% 0.39/1.37 ncf('1.1.2.1.1.1',plain,[apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 112 ^ []))],reduction('1.1.2')).
% 0.39/1.37 ncf('1.1.2.1.2',plain,[distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 4,bind([[_26148, _26150, _26152], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.39/1.37 ncf('1.1.2.1.2.1',plain,[-(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ []))), apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 112 ^ [])), -(distinct_lines(line_connecting(111 ^ [], 112 ^ []), line_connecting(109 ^ [], 110 ^ [])))],extension(94 ^ 5,bind([[_27926, _27928, _27930], [line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 112 ^ []), 109 ^ []]]))).
% 0.39/1.37 ncf('1.1.2.1.2.1.1',plain,[-(apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 112 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 112 ^ [])))],extension(118 ^ 6)).
% 0.39/1.37 ncf('1.1.2.1.2.1.1.1',plain,[apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 112 ^ []))],reduction('1.1.2')).
% 0.39/1.37 ncf('1.1.2.1.2.1.2',plain,[distinct_lines(line_connecting(111 ^ [], 112 ^ []), line_connecting(109 ^ [], 110 ^ []))],reduction('1.1')).
% 0.39/1.37 ncf('1.1.2.1.2.2',plain,[distinct_points(109 ^ [], 109 ^ [])],extension(2 ^ 7,bind([[_24901], [109 ^ []]]))).
% 0.39/1.37 ncf('1.1.2.2',plain,[apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(110 ^ [], 109 ^ []))],extension(38 ^ 3,bind([[_26148, _26150, _26152], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.39/1.37 ncf('1.1.2.2.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(114 ^ 4)).
% 0.39/1.37 ncf('1.1.2.2.2',plain,[distinct_points(110 ^ [], 109 ^ []), -(distinct_points(110 ^ [], 110 ^ [])), -(distinct_points(109 ^ [], 110 ^ []))],extension(8 ^ 6,bind([[_25176, _25178, _25180], [110 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.39/1.37 ncf('1.1.2.2.2.1',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 7,bind([[_24901], [110 ^ []]]))).
% 0.39/1.37 ncf('1.1.2.2.2.2',plain,[distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 7,bind([[_26148, _26150, _26152], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.39/1.37 ncf('1.1.2.2.2.2.1',plain,[-(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])))],reduction('1.1.2')).
% 0.39/1.37 ncf('1.1.2.2.2.2.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[2, 2, 1, 1].x')).
% 0.39/1.37 ncf('1.1.3',plain,[apart_point_and_line(111 ^ [], line_connecting(111 ^ [], 112 ^ [])), distinct_points(111 ^ [], 112 ^ []), 46 : -(distinct_points(111 ^ [], 111 ^ []))],extension(38 ^ 2,bind([[_26148, _26150, _26152], [111 ^ [], 112 ^ [], 111 ^ []]]))).
% 0.39/1.37 ncf('1.1.3.1',plain,[-(distinct_points(111 ^ [], 112 ^ []))],lemmata('[1].x')).
% 0.39/1.37 ncf('1.1.3.2',plain,[distinct_points(111 ^ [], 111 ^ [])],extension(2 ^ 5,bind([[_24901], [111 ^ []]]))).
% 0.39/1.37 ncf('1.1.4',plain,[apart_point_and_line(112 ^ [], line_connecting(111 ^ [], 112 ^ [])), distinct_points(111 ^ [], 112 ^ []), 46 : -(distinct_points(112 ^ [], 111 ^ []))],extension(38 ^ 2,bind([[_26148, _26150, _26152], [112 ^ [], 112 ^ [], 111 ^ []]]))).
% 0.39/1.37 ncf('1.1.4.1',plain,[-(distinct_points(111 ^ [], 112 ^ []))],lemmata('[1].x')).
% 0.39/1.37 ncf('1.1.4.2',plain,[distinct_points(112 ^ [], 111 ^ []), -(distinct_points(112 ^ [], 112 ^ [])), -(distinct_points(111 ^ [], 112 ^ []))],extension(8 ^ 5,bind([[_25176, _25178, _25180], [112 ^ [], 111 ^ [], 112 ^ []]]))).
% 0.39/1.37 ncf('1.1.4.2.1',plain,[distinct_points(112 ^ [], 112 ^ [])],extension(2 ^ 6,bind([[_24901], [112 ^ []]]))).
% 0.39/1.37 ncf('1.1.4.2.2',plain,[distinct_points(111 ^ [], 112 ^ []), apart_point_and_line(112 ^ [], line_connecting(111 ^ [], 112 ^ [])), 48 : -(distinct_points(112 ^ [], 112 ^ []))],extension(38 ^ 6,bind([[_26148, _26150, _26152], [112 ^ [], 112 ^ [], 111 ^ []]]))).
% 0.39/1.37 ncf('1.1.4.2.2.1',plain,[-(apart_point_and_line(112 ^ [], line_connecting(111 ^ [], 112 ^ [])))],reduction('1.1')).
% 0.39/1.37 ncf('1.1.4.2.2.2',plain,[distinct_points(112 ^ [], 112 ^ [])],lemmata('[4, 1, 1].x')).
% 0.39/1.37 ncf('1.1.5',plain,[apart_point_and_line(112 ^ [], line_connecting(109 ^ [], 110 ^ []))],extension(126 ^ 2)).
% 0.39/1.37 %-----------------------------------------------------
% 0.39/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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