TSTP Solution File: GEO200+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO200+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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 11:12:11 EDT 2023

% Result   : Theorem 0.34s 1.38s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO200+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n005.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 03:56:08 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(116 ^ _21451) ^ [] : [-(distinct_points(113 ^ [], 114 ^ []))], (118 ^ _21451) ^ [] : [-(distinct_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(114 ^ [], 113 ^ [])))], (2 ^ _21451) ^ [_21534] : [distinct_points(_21534, _21534)], (4 ^ _21451) ^ [_21611] : [distinct_lines(_21611, _21611)], (6 ^ _21451) ^ [_21688] : [convergent_lines(_21688, _21688)], (8 ^ _21451) ^ [_21809, _21811, _21813] : [distinct_points(_21813, _21811), -(distinct_points(_21813, _21809)), -(distinct_points(_21811, _21809))], (18 ^ _21451) ^ [_22133, _22135, _22137] : [distinct_lines(_22137, _22135), -(distinct_lines(_22137, _22133)), -(distinct_lines(_22135, _22133))], (28 ^ _21451) ^ [_22457, _22459, _22461] : [convergent_lines(_22461, _22459), -(convergent_lines(_22461, _22457)), -(convergent_lines(_22459, _22457))], (38 ^ _21451) ^ [_22767, _22769] : [distinct_points(_22769, _22767), apart_point_and_line(_22769, line_connecting(_22769, _22767))], (44 ^ _21451) ^ [_22984, _22986] : [distinct_points(_22986, _22984), apart_point_and_line(_22984, line_connecting(_22986, _22984))], (50 ^ _21451) ^ [_23201, _23203] : [convergent_lines(_23203, _23201), apart_point_and_line(intersection_point(_23203, _23201), _23203)], (56 ^ _21451) ^ [_23418, _23420] : [convergent_lines(_23420, _23418), apart_point_and_line(intersection_point(_23420, _23418), _23418)], (62 ^ _21451) ^ [_23663, _23665, _23667, _23669] : [distinct_points(_23669, _23667), distinct_lines(_23665, _23663), -(apart_point_and_line(_23669, _23665)), -(apart_point_and_line(_23669, _23663)), -(apart_point_and_line(_23667, _23665)), -(apart_point_and_line(_23667, _23663))], (84 ^ _21451) ^ [_24292, _24294, _24296] : [apart_point_and_line(_24296, _24294), -(distinct_points(_24296, _24292)), -(apart_point_and_line(_24292, _24294))], (94 ^ _21451) ^ [_24616, _24618, _24620] : [apart_point_and_line(_24620, _24618), -(distinct_lines(_24618, _24616)), -(apart_point_and_line(_24620, _24616))], (104 ^ _21451) ^ [_24920, _24922, _24924] : [convergent_lines(_24924, _24922), -(distinct_lines(_24922, _24920)), -(convergent_lines(_24924, _24920))]], input).
% 0.34/1.38  ncf('1',plain,[distinct_points(113 ^ [], 113 ^ [])],start(2 ^ 0,bind([[_21534], [113 ^ []]]))).
% 0.34/1.38  ncf('1.1',plain,[-(distinct_points(113 ^ [], 113 ^ [])), distinct_points(113 ^ [], 114 ^ []), -(distinct_points(114 ^ [], 113 ^ []))],extension(8 ^ 1,bind([[_21809, _21811, _21813], [113 ^ [], 114 ^ [], 113 ^ []]]))).
% 0.34/1.38  ncf('1.1.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],extension(116 ^ 2)).
% 0.34/1.38  ncf('1.1.2',plain,[distinct_points(114 ^ [], 113 ^ []), distinct_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(114 ^ [], 113 ^ [])), -(apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ []))), -(apart_point_and_line(114 ^ [], line_connecting(114 ^ [], 113 ^ []))), -(apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ []))), -(apart_point_and_line(113 ^ [], line_connecting(114 ^ [], 113 ^ [])))],extension(62 ^ 2,bind([[_23663, _23665, _23667, _23669], [line_connecting(114 ^ [], 113 ^ []), line_connecting(113 ^ [], 114 ^ []), 113 ^ [], 114 ^ []]]))).
% 0.34/1.38  ncf('1.1.2.1',plain,[-(distinct_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(114 ^ [], 113 ^ [])))],extension(118 ^ 3)).
% 0.34/1.38  ncf('1.1.2.2',plain,[apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(44 ^ 3,bind([[_22984, _22986], [114 ^ [], 113 ^ []]]))).
% 0.34/1.38  ncf('1.1.2.2.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],lemmata('[1].x')).
% 0.34/1.38  ncf('1.1.2.3',plain,[apart_point_and_line(114 ^ [], line_connecting(114 ^ [], 113 ^ [])), distinct_points(114 ^ [], 113 ^ [])],extension(38 ^ 3,bind([[_22767, _22769], [113 ^ [], 114 ^ []]]))).
% 0.34/1.38  ncf('1.1.2.3.1',plain,[-(distinct_points(114 ^ [], 113 ^ []))],reduction('1.1')).
% 0.34/1.38  ncf('1.1.2.4',plain,[apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(38 ^ 3,bind([[_22767, _22769], [114 ^ [], 113 ^ []]]))).
% 0.34/1.38  ncf('1.1.2.4.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],lemmata('[1].x')).
% 0.34/1.38  ncf('1.1.2.5',plain,[apart_point_and_line(113 ^ [], line_connecting(114 ^ [], 113 ^ [])), distinct_points(114 ^ [], 113 ^ [])],extension(44 ^ 3,bind([[_22984, _22986], [113 ^ [], 114 ^ []]]))).
% 0.34/1.38  ncf('1.1.2.5.1',plain,[-(distinct_points(114 ^ [], 113 ^ []))],reduction('1.1')).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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