TSTP Solution File: GEO182+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO182+2 : 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 11:12:05 EDT 2023
% Result : Theorem 0.32s 1.38s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO182+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % 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 04:11:33 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.32/1.38
% 0.32/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.38 %-----------------------------------------------------
% 0.32/1.38 ncf(matrix, plain, [(113 ^ _21824) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (115 ^ _21824) ^ [] : [-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))], (117 ^ _21824) ^ [] : [apart_point_and_line(111 ^ [], line_connecting(110 ^ [], 109 ^ []))], (2 ^ _21824) ^ [_21907] : [distinct_points(_21907, _21907)], (4 ^ _21824) ^ [_21984] : [distinct_lines(_21984, _21984)], (6 ^ _21824) ^ [_22061] : [convergent_lines(_22061, _22061)], (8 ^ _21824) ^ [_22182, _22184, _22186] : [distinct_points(_22186, _22184), -(distinct_points(_22186, _22182)), -(distinct_points(_22184, _22182))], (18 ^ _21824) ^ [_22506, _22508, _22510] : [distinct_lines(_22510, _22508), -(distinct_lines(_22510, _22506)), -(distinct_lines(_22508, _22506))], (28 ^ _21824) ^ [_22830, _22832, _22834] : [convergent_lines(_22834, _22832), -(convergent_lines(_22834, _22830)), -(convergent_lines(_22832, _22830))], (38 ^ _21824) ^ [_23154, _23156, _23158] : [distinct_points(_23158, _23156), apart_point_and_line(_23154, line_connecting(_23158, _23156)), 45 ^ _21824 : [(46 ^ _21824) ^ [] : [-(distinct_points(_23154, _23158))], (48 ^ _21824) ^ [] : [-(distinct_points(_23154, _23156))]]], (50 ^ _21824) ^ [_23560, _23562, _23564] : [convergent_lines(_23564, _23562), 55 ^ _21824 : [(56 ^ _21824) ^ [] : [apart_point_and_line(_23560, _23564)], (58 ^ _21824) ^ [] : [apart_point_and_line(_23560, _23562)]], -(distinct_points(_23560, intersection_point(_23564, _23562)))], (62 ^ _21824) ^ [_23979, _23981, _23983, _23985] : [distinct_points(_23985, _23983), distinct_lines(_23981, _23979), -(apart_point_and_line(_23985, _23981)), -(apart_point_and_line(_23985, _23979)), -(apart_point_and_line(_23983, _23981)), -(apart_point_and_line(_23983, _23979))], (84 ^ _21824) ^ [_24608, _24610, _24612] : [apart_point_and_line(_24612, _24610), -(distinct_points(_24612, _24608)), -(apart_point_and_line(_24608, _24610))], (104 ^ _21824) ^ [_25222, _25224] : [convergent_lines(_25224, _25222), -(distinct_lines(_25224, _25222))], (94 ^ _21824) ^ [_24932, _24934, _24936] : [apart_point_and_line(_24936, _24934), -(distinct_lines(_24934, _24932)), -(apart_point_and_line(_24936, _24932))]], input).
% 0.32/1.38 ncf('1',plain,[distinct_points(109 ^ [], 109 ^ [])],start(2 ^ 0,bind([[_21907], [109 ^ []]]))).
% 0.32/1.38 ncf('1.1',plain,[-(distinct_points(109 ^ [], 109 ^ [])), distinct_points(109 ^ [], 110 ^ []), -(distinct_points(110 ^ [], 109 ^ []))],extension(8 ^ 1,bind([[_22182, _22184, _22186], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.32/1.38 ncf('1.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 2)).
% 0.32/1.38 ncf('1.1.2',plain,[distinct_points(110 ^ [], 109 ^ []), -(distinct_points(110 ^ [], 110 ^ [])), -(distinct_points(109 ^ [], 110 ^ []))],extension(8 ^ 2,bind([[_22182, _22184, _22186], [110 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.32/1.38 ncf('1.1.2.1',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 3,bind([[_21907], [110 ^ []]]))).
% 0.32/1.38 ncf('1.1.2.2',plain,[distinct_points(109 ^ [], 110 ^ []), distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(110 ^ [], 109 ^ [])), -(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(109 ^ [], line_connecting(110 ^ [], 109 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(110 ^ [], 109 ^ [])))],extension(62 ^ 3,bind([[_23979, _23981, _23983, _23985], [line_connecting(110 ^ [], 109 ^ []), line_connecting(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.32/1.38 ncf('1.1.2.2.1',plain,[-(distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(110 ^ [], 109 ^ []))), apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])), -(apart_point_and_line(111 ^ [], line_connecting(110 ^ [], 109 ^ [])))],extension(94 ^ 4,bind([[_24932, _24934, _24936], [line_connecting(110 ^ [], 109 ^ []), line_connecting(109 ^ [], 110 ^ []), 111 ^ []]]))).
% 0.32/1.38 ncf('1.1.2.2.1.1',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(115 ^ 5)).
% 0.32/1.38 ncf('1.1.2.2.1.2',plain,[apart_point_and_line(111 ^ [], line_connecting(110 ^ [], 109 ^ []))],extension(117 ^ 5)).
% 0.32/1.38 ncf('1.1.2.2.2',plain,[apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 4,bind([[_23154, _23156, _23158], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.32/1.38 ncf('1.1.2.2.2.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.1.2.2.2.2',plain,[distinct_points(109 ^ [], 109 ^ [])],reduction('1')).
% 0.32/1.38 ncf('1.1.2.2.3',plain,[apart_point_and_line(109 ^ [], line_connecting(110 ^ [], 109 ^ [])), distinct_points(110 ^ [], 109 ^ []), 48 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 4,bind([[_23154, _23156, _23158], [109 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.32/1.38 ncf('1.1.2.2.3.1',plain,[-(distinct_points(110 ^ [], 109 ^ []))],reduction('1.1')).
% 0.32/1.38 ncf('1.1.2.2.3.2',plain,[distinct_points(109 ^ [], 109 ^ [])],reduction('1')).
% 0.32/1.38 ncf('1.1.2.2.4',plain,[apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 4,bind([[_23154, _23156, _23158], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.32/1.38 ncf('1.1.2.2.4.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.1.2.2.4.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[1, 1].x')).
% 0.32/1.38 ncf('1.1.2.2.5',plain,[apart_point_and_line(110 ^ [], line_connecting(110 ^ [], 109 ^ [])), distinct_points(110 ^ [], 109 ^ []), 46 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 4,bind([[_23154, _23156, _23158], [110 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.32/1.38 ncf('1.1.2.2.5.1',plain,[-(distinct_points(110 ^ [], 109 ^ []))],reduction('1.1')).
% 0.32/1.38 ncf('1.1.2.2.5.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[1, 1].x')).
% 0.32/1.38 %-----------------------------------------------------
% 0.32/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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