TSTP Solution File: GEO173+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO173+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 11:12:03 EDT 2023

% Result   : Theorem 0.35s 1.39s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO173+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 04:14:46 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.35/1.39  
% 0.35/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  ncf(matrix, plain, [(114 ^ _21664) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (116 ^ _21664) ^ [] : [-(convergent_lines(111 ^ [], 112 ^ []))], (118 ^ _21664) ^ [] : [-(distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))], (120 ^ _21664) ^ [] : [apart_point_and_line(109 ^ [], 111 ^ [])], (122 ^ _21664) ^ [] : [apart_point_and_line(110 ^ [], 111 ^ [])], (2 ^ _21664) ^ [_21747] : [distinct_points(_21747, _21747)], (4 ^ _21664) ^ [_21824] : [distinct_lines(_21824, _21824)], (6 ^ _21664) ^ [_21901] : [convergent_lines(_21901, _21901)], (8 ^ _21664) ^ [_22022, _22024, _22026] : [distinct_points(_22026, _22024), -(distinct_points(_22026, _22022)), -(distinct_points(_22024, _22022))], (18 ^ _21664) ^ [_22346, _22348, _22350] : [distinct_lines(_22350, _22348), -(distinct_lines(_22350, _22346)), -(distinct_lines(_22348, _22346))], (28 ^ _21664) ^ [_22670, _22672, _22674] : [convergent_lines(_22674, _22672), -(convergent_lines(_22674, _22670)), -(convergent_lines(_22672, _22670))], (38 ^ _21664) ^ [_22994, _22996, _22998] : [distinct_points(_22998, _22996), apart_point_and_line(_22994, line_connecting(_22998, _22996)), 45 ^ _21664 : [(46 ^ _21664) ^ [] : [-(distinct_points(_22994, _22998))], (48 ^ _21664) ^ [] : [-(distinct_points(_22994, _22996))]]], (50 ^ _21664) ^ [_23400, _23402, _23404] : [convergent_lines(_23404, _23402), 55 ^ _21664 : [(56 ^ _21664) ^ [] : [apart_point_and_line(_23400, _23404)], (58 ^ _21664) ^ [] : [apart_point_and_line(_23400, _23402)]], -(distinct_points(_23400, intersection_point(_23404, _23402)))], (62 ^ _21664) ^ [_23819, _23821, _23823, _23825] : [distinct_points(_23825, _23823), distinct_lines(_23821, _23819), -(apart_point_and_line(_23825, _23821)), -(apart_point_and_line(_23825, _23819)), -(apart_point_and_line(_23823, _23821)), -(apart_point_and_line(_23823, _23819))], (84 ^ _21664) ^ [_24448, _24450, _24452] : [apart_point_and_line(_24452, _24450), -(distinct_points(_24452, _24448)), -(apart_point_and_line(_24448, _24450))], (104 ^ _21664) ^ [_25062, _25064] : [convergent_lines(_25064, _25062), -(distinct_lines(_25064, _25062))], (94 ^ _21664) ^ [_24772, _24774, _24776] : [apart_point_and_line(_24776, _24774), -(distinct_lines(_24774, _24772)), -(apart_point_and_line(_24776, _24772))]], input).
% 0.35/1.39  ncf('1',plain,[apart_point_and_line(109 ^ [], 111 ^ [])],start(120 ^ 0)).
% 0.35/1.39  ncf('1.1',plain,[-(apart_point_and_line(109 ^ [], 111 ^ [])), distinct_points(109 ^ [], 110 ^ []), distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ [])), -(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(110 ^ [], 111 ^ [])), -(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(62 ^ 1,bind([[_23819, _23821, _23823, _23825], [line_connecting(109 ^ [], 110 ^ []), 111 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.35/1.39  ncf('1.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(114 ^ 2)).
% 0.35/1.39  ncf('1.1.2',plain,[-(distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(118 ^ 2)).
% 0.35/1.39  ncf('1.1.3',plain,[apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 2,bind([[_22994, _22996, _22998], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.35/1.39  ncf('1.1.3.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.35/1.39  ncf('1.1.3.2',plain,[distinct_points(109 ^ [], 109 ^ [])],extension(2 ^ 5,bind([[_21747], [109 ^ []]]))).
% 0.35/1.39  ncf('1.1.4',plain,[apart_point_and_line(110 ^ [], 111 ^ [])],extension(122 ^ 2)).
% 0.35/1.39  ncf('1.1.5',plain,[apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 2,bind([[_22994, _22996, _22998], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.35/1.39  ncf('1.1.5.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.35/1.39  ncf('1.1.5.2',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 5,bind([[_21747], [110 ^ []]]))).
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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