TSTP Solution File: GEO194+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO194+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 11:12:09 EDT 2023

% Result   : Theorem 1.28s 2.44s
% Output   : Proof 1.28s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO194+2 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.14  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May 19 03:39:15 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 1.28/2.44  
% 1.28/2.44  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.28/2.44  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.28/2.44  %-----------------------------------------------------
% 1.28/2.44  ncf(matrix, plain, [(113 ^ _22870) ^ [] : [-(convergent_lines(109 ^ [], 110 ^ []))], (115 ^ _22870) ^ [] : [-(convergent_lines(111 ^ [], 110 ^ []))], (117 ^ _22870) ^ [] : [-(convergent_lines(109 ^ [], 111 ^ []))], (119 ^ _22870) ^ [] : [-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ []))], (121 ^ _22870) ^ [] : [apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 110 ^ [])], (2 ^ _22870) ^ [_22953] : [distinct_points(_22953, _22953)], (4 ^ _22870) ^ [_23030] : [distinct_lines(_23030, _23030)], (6 ^ _22870) ^ [_23107] : [convergent_lines(_23107, _23107)], (8 ^ _22870) ^ [_23228, _23230, _23232] : [distinct_points(_23232, _23230), -(distinct_points(_23232, _23228)), -(distinct_points(_23230, _23228))], (18 ^ _22870) ^ [_23552, _23554, _23556] : [distinct_lines(_23556, _23554), -(distinct_lines(_23556, _23552)), -(distinct_lines(_23554, _23552))], (28 ^ _22870) ^ [_23876, _23878, _23880] : [convergent_lines(_23880, _23878), -(convergent_lines(_23880, _23876)), -(convergent_lines(_23878, _23876))], (38 ^ _22870) ^ [_24200, _24202, _24204] : [distinct_points(_24204, _24202), apart_point_and_line(_24200, line_connecting(_24204, _24202)), 45 ^ _22870 : [(46 ^ _22870) ^ [] : [-(distinct_points(_24200, _24204))], (48 ^ _22870) ^ [] : [-(distinct_points(_24200, _24202))]]], (50 ^ _22870) ^ [_24606, _24608, _24610] : [convergent_lines(_24610, _24608), 55 ^ _22870 : [(56 ^ _22870) ^ [] : [apart_point_and_line(_24606, _24610)], (58 ^ _22870) ^ [] : [apart_point_and_line(_24606, _24608)]], -(distinct_points(_24606, intersection_point(_24610, _24608)))], (62 ^ _22870) ^ [_25025, _25027, _25029, _25031] : [distinct_points(_25031, _25029), distinct_lines(_25027, _25025), -(apart_point_and_line(_25031, _25027)), -(apart_point_and_line(_25031, _25025)), -(apart_point_and_line(_25029, _25027)), -(apart_point_and_line(_25029, _25025))], (84 ^ _22870) ^ [_25654, _25656, _25658] : [apart_point_and_line(_25658, _25656), -(distinct_points(_25658, _25654)), -(apart_point_and_line(_25654, _25656))], (104 ^ _22870) ^ [_26268, _26270] : [convergent_lines(_26270, _26268), -(distinct_lines(_26270, _26268))], (94 ^ _22870) ^ [_25978, _25980, _25982] : [apart_point_and_line(_25982, _25980), -(distinct_lines(_25980, _25978)), -(apart_point_and_line(_25982, _25978))]], input).
% 1.28/2.44  ncf('1',plain,[apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 110 ^ [])],start(121 ^ 0)).
% 1.28/2.44  ncf('1.1',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 110 ^ [])), distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ [])), distinct_lines(110 ^ [], 109 ^ []), -(apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ []))],extension(62 ^ 1,bind([[_25025, _25027, _25029, _25031], [109 ^ [], 110 ^ [], intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])]]))).
% 1.28/2.44  ncf('1.1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ []))), distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(8 ^ 2,bind([[_23228, _23230, _23232], [intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ [])]]))).
% 1.28/2.44  ncf('1.1.1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ []))), convergent_lines(109 ^ [], 111 ^ []), 58 : apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])],extension(50 ^ 3,bind([[_24606, _24608, _24610], [intersection_point(109 ^ [], 110 ^ []), 111 ^ [], 109 ^ []]]))).
% 1.28/2.44  ncf('1.1.1.1.1',plain,[-(convergent_lines(109 ^ [], 111 ^ []))],extension(117 ^ 4)).
% 1.28/2.44  ncf('1.1.1.1.2',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ []))],extension(119 ^ 6)).
% 1.28/2.44  ncf('1.1.1.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_22953], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 1.28/2.44  ncf('1.1.2',plain,[-(distinct_lines(110 ^ [], 109 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(distinct_lines(109 ^ [], 109 ^ []))],extension(18 ^ 2,bind([[_23552, _23554, _23556], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 1.28/2.44  ncf('1.1.2.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), convergent_lines(109 ^ [], 110 ^ [])],extension(104 ^ 3,bind([[_26268, _26270], [110 ^ [], 109 ^ []]]))).
% 1.28/2.44  ncf('1.1.2.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 1.28/2.44  ncf('1.1.2.2',plain,[distinct_lines(109 ^ [], 109 ^ [])],extension(4 ^ 3,bind([[_23030], [109 ^ []]]))).
% 1.28/2.44  ncf('1.1.3',plain,[apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 109 ^ []), convergent_lines(109 ^ [], 111 ^ []), -(distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ [])))],extension(50 ^ 2,bind([[_24606, _24608, _24610], [intersection_point(109 ^ [], 111 ^ []), 111 ^ [], 109 ^ []]]))).
% 1.28/2.44  ncf('1.1.3.1',plain,[-(convergent_lines(109 ^ [], 111 ^ []))],extension(117 ^ 3)).
% 1.28/2.44  ncf('1.1.3.2',plain,[distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ []))],extension(2 ^ 3,bind([[_22953], [intersection_point(109 ^ [], 111 ^ [])]]))).
% 1.28/2.44  ncf('1.1.4',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ []), convergent_lines(109 ^ [], 110 ^ []), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(50 ^ 2,bind([[_24606, _24608, _24610], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 1.28/2.44  ncf('1.1.4.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 3)).
% 1.28/2.44  ncf('1.1.4.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_22953], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 1.28/2.44  ncf('1.1.5',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ []), convergent_lines(109 ^ [], 110 ^ []), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(50 ^ 2,bind([[_24606, _24608, _24610], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 1.28/2.44  ncf('1.1.5.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 3)).
% 1.28/2.44  ncf('1.1.5.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_22953], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 1.28/2.44  %-----------------------------------------------------
% 1.28/2.44  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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