TSTP Solution File: GEO183+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO183+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n013.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 11:12:06 EDT 2023

% Result   : Theorem 0.36s 1.40s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO183+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May 19 04:20:20 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.36/1.40  
% 0.36/1.40  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.40  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.40  %-----------------------------------------------------
% 0.36/1.40  ncf(matrix, plain, [(114 ^ _22662) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (116 ^ _22662) ^ [] : [-(convergent_lines(111 ^ [], 112 ^ []))], (118 ^ _22662) ^ [] : [distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ []))], (120 ^ _22662) ^ [] : [-(apart_point_and_line(109 ^ [], 111 ^ [])), -(apart_point_and_line(110 ^ [], 111 ^ []))], (2 ^ _22662) ^ [_22745] : [distinct_points(_22745, _22745)], (4 ^ _22662) ^ [_22822] : [distinct_lines(_22822, _22822)], (6 ^ _22662) ^ [_22899] : [convergent_lines(_22899, _22899)], (8 ^ _22662) ^ [_23020, _23022, _23024] : [distinct_points(_23024, _23022), -(distinct_points(_23024, _23020)), -(distinct_points(_23022, _23020))], (18 ^ _22662) ^ [_23344, _23346, _23348] : [distinct_lines(_23348, _23346), -(distinct_lines(_23348, _23344)), -(distinct_lines(_23346, _23344))], (28 ^ _22662) ^ [_23668, _23670, _23672] : [convergent_lines(_23672, _23670), -(convergent_lines(_23672, _23668)), -(convergent_lines(_23670, _23668))], (38 ^ _22662) ^ [_23992, _23994, _23996] : [distinct_points(_23996, _23994), apart_point_and_line(_23992, line_connecting(_23996, _23994)), 45 ^ _22662 : [(46 ^ _22662) ^ [] : [-(distinct_points(_23992, _23996))], (48 ^ _22662) ^ [] : [-(distinct_points(_23992, _23994))]]], (50 ^ _22662) ^ [_24398, _24400, _24402] : [convergent_lines(_24402, _24400), 55 ^ _22662 : [(56 ^ _22662) ^ [] : [apart_point_and_line(_24398, _24402)], (58 ^ _22662) ^ [] : [apart_point_and_line(_24398, _24400)]], -(distinct_points(_24398, intersection_point(_24402, _24400)))], (62 ^ _22662) ^ [_24817, _24819, _24821, _24823] : [distinct_points(_24823, _24821), distinct_lines(_24819, _24817), -(apart_point_and_line(_24823, _24819)), -(apart_point_and_line(_24823, _24817)), -(apart_point_and_line(_24821, _24819)), -(apart_point_and_line(_24821, _24817))], (84 ^ _22662) ^ [_25446, _25448, _25450] : [apart_point_and_line(_25450, _25448), -(distinct_points(_25450, _25446)), -(apart_point_and_line(_25446, _25448))], (104 ^ _22662) ^ [_26060, _26062] : [convergent_lines(_26062, _26060), -(distinct_lines(_26062, _26060))], (94 ^ _22662) ^ [_25770, _25772, _25774] : [apart_point_and_line(_25774, _25772), -(distinct_lines(_25772, _25770)), -(apart_point_and_line(_25774, _25770))]], input).
% 0.36/1.40  ncf('1',plain,[distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ []))],start(118 ^ 0)).
% 0.36/1.40  ncf('1.1',plain,[-(distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ []))), apart_point_and_line(110 ^ [], 111 ^ []), -(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(94 ^ 1,bind([[_25770, _25772, _25774], [line_connecting(109 ^ [], 110 ^ []), 111 ^ [], 110 ^ []]]))).
% 0.36/1.40  ncf('1.1.1',plain,[-(apart_point_and_line(110 ^ [], 111 ^ [])), apart_point_and_line(109 ^ [], 111 ^ []), -(distinct_points(109 ^ [], 110 ^ []))],extension(84 ^ 2,bind([[_25446, _25448, _25450], [110 ^ [], 111 ^ [], 109 ^ []]]))).
% 0.36/1.40  ncf('1.1.1.1',plain,[-(apart_point_and_line(109 ^ [], 111 ^ [])), -(apart_point_and_line(110 ^ [], 111 ^ []))],extension(120 ^ 3)).
% 0.36/1.40  ncf('1.1.1.1.1',plain,[apart_point_and_line(110 ^ [], 111 ^ [])],reduction('1.1')).
% 0.36/1.40  ncf('1.1.1.2',plain,[distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 3,bind([[_23992, _23994, _23996], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.36/1.40  ncf('1.1.1.2.1',plain,[-(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ []))), apart_point_and_line(109 ^ [], 111 ^ []), -(distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(94 ^ 4,bind([[_25770, _25772, _25774], [line_connecting(109 ^ [], 110 ^ []), 111 ^ [], 109 ^ []]]))).
% 0.36/1.40  ncf('1.1.1.2.1.1',plain,[-(apart_point_and_line(109 ^ [], 111 ^ [])), -(apart_point_and_line(110 ^ [], 111 ^ []))],extension(120 ^ 5)).
% 0.36/1.40  ncf('1.1.1.2.1.1.1',plain,[apart_point_and_line(110 ^ [], 111 ^ [])],reduction('1.1')).
% 0.36/1.40  ncf('1.1.1.2.1.2',plain,[distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ []))],reduction('1')).
% 0.36/1.40  ncf('1.1.1.2.2',plain,[distinct_points(109 ^ [], 109 ^ [])],extension(2 ^ 6,bind([[_22745], [109 ^ []]]))).
% 0.36/1.40  ncf('1.1.2',plain,[apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(110 ^ [], 109 ^ []))],extension(38 ^ 2,bind([[_23992, _23994, _23996], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.36/1.40  ncf('1.1.2.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(114 ^ 3)).
% 0.36/1.40  ncf('1.1.2.2',plain,[distinct_points(110 ^ [], 109 ^ []), -(distinct_points(110 ^ [], 110 ^ [])), -(distinct_points(109 ^ [], 110 ^ []))],extension(8 ^ 5,bind([[_23020, _23022, _23024], [110 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.36/1.40  ncf('1.1.2.2.1',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 6,bind([[_22745], [110 ^ []]]))).
% 0.36/1.40  ncf('1.1.2.2.2',plain,[distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 6,bind([[_23992, _23994, _23996], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.36/1.40  ncf('1.1.2.2.2.1',plain,[-(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])))],reduction('1.1')).
% 0.36/1.40  ncf('1.1.2.2.2.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[2, 1, 1].x')).
% 0.36/1.40  %-----------------------------------------------------
% 0.36/1.40  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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