TSTP Solution File: GEO211+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO211+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n007.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 11:12:14 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
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO211+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n007.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 04:13:53 EDT 2023
% 0.20/0.35  % 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, [(175 ^ _29136) ^ [] : [unorthogonal_lines(173 ^ [], 173 ^ [])], (110 ^ _29136) ^ [_32790, _32792] : [convergent_lines(parallel_through_point(_32790, _32792), _32790)], (112 ^ _29136) ^ [_32886, _32888] : [apart_point_and_line(_32888, parallel_through_point(_32886, _32888))], (114 ^ _29136) ^ [_32992, _32994, _32996] : [distinct_lines(_32994, _32992), -(apart_point_and_line(_32996, _32994)), -(apart_point_and_line(_32996, _32992)), -(convergent_lines(_32994, _32992))], (128 ^ _29136) ^ [_33400, _33402] : [-(convergent_lines(_33402, _33400)), -(unorthogonal_lines(_33402, _33400))], (134 ^ _29136) ^ [_33625, _33627, _33629] : [convergent_lines(_33629, _33627), unorthogonal_lines(_33629, _33627), 143 ^ _29136 : [(144 ^ _29136) ^ [] : [-(convergent_lines(_33629, _33625))], (146 ^ _29136) ^ [] : [-(unorthogonal_lines(_33629, _33625))]], 147 ^ _29136 : [(148 ^ _29136) ^ [] : [-(convergent_lines(_33627, _33625))], (150 ^ _29136) ^ [] : [-(unorthogonal_lines(_33627, _33625))]]], (152 ^ _29136) ^ [_34168, _34170] : [unorthogonal_lines(orthogonal_through_point(_34168, _34170), _34168)], (154 ^ _29136) ^ [_34264, _34266] : [apart_point_and_line(_34266, orthogonal_through_point(_34264, _34266))], (156 ^ _29136) ^ [_34384, _34386, _34388, _34390] : [distinct_lines(_34388, _34386), -(apart_point_and_line(_34390, _34388)), -(apart_point_and_line(_34390, _34386)), -(unorthogonal_lines(_34388, _34384)), -(unorthogonal_lines(_34386, _34384))], (2 ^ _29136) ^ [_29239] : [distinct_points(_29239, _29239)], (4 ^ _29136) ^ [_29316] : [distinct_lines(_29316, _29316)], (6 ^ _29136) ^ [_29393] : [convergent_lines(_29393, _29393)], (8 ^ _29136) ^ [_29514, _29516, _29518] : [distinct_points(_29518, _29516), -(distinct_points(_29518, _29514)), -(distinct_points(_29516, _29514))], (18 ^ _29136) ^ [_29838, _29840, _29842] : [distinct_lines(_29842, _29840), -(distinct_lines(_29842, _29838)), -(distinct_lines(_29840, _29838))], (28 ^ _29136) ^ [_30162, _30164, _30166] : [convergent_lines(_30166, _30164), -(convergent_lines(_30166, _30162)), -(convergent_lines(_30164, _30162))], (38 ^ _29136) ^ [_30486, _30488, _30490] : [distinct_points(_30490, _30488), apart_point_and_line(_30486, line_connecting(_30490, _30488)), 45 ^ _29136 : [(46 ^ _29136) ^ [] : [-(distinct_points(_30486, _30490))], (48 ^ _29136) ^ [] : [-(distinct_points(_30486, _30488))]]], (50 ^ _29136) ^ [_30892, _30894, _30896] : [convergent_lines(_30896, _30894), 55 ^ _29136 : [(56 ^ _29136) ^ [] : [apart_point_and_line(_30892, _30896)], (58 ^ _29136) ^ [] : [apart_point_and_line(_30892, _30894)]], -(distinct_points(_30892, intersection_point(_30896, _30894)))], (62 ^ _29136) ^ [_31311, _31313, _31315, _31317] : [distinct_points(_31317, _31315), distinct_lines(_31313, _31311), -(apart_point_and_line(_31317, _31313)), -(apart_point_and_line(_31317, _31311)), -(apart_point_and_line(_31315, _31313)), -(apart_point_and_line(_31315, _31311))], (84 ^ _29136) ^ [_31940, _31942, _31944] : [apart_point_and_line(_31944, _31942), -(distinct_points(_31944, _31940)), -(apart_point_and_line(_31940, _31942))], (104 ^ _29136) ^ [_32554, _32556] : [convergent_lines(_32556, _32554), -(distinct_lines(_32556, _32554))], (94 ^ _29136) ^ [_32264, _32266, _32268] : [apart_point_and_line(_32268, _32266), -(distinct_lines(_32266, _32264)), -(apart_point_and_line(_32268, _32264))]], input).
% 0.36/1.40  ncf('1',plain,[convergent_lines(173 ^ [], 173 ^ [])],start(6 ^ 0,bind([[_29393], [173 ^ []]]))).
% 0.36/1.40  ncf('1.1',plain,[-(convergent_lines(173 ^ [], 173 ^ [])), -(unorthogonal_lines(173 ^ [], 173 ^ []))],extension(128 ^ 1,bind([[_33400, _33402], [173 ^ [], 173 ^ []]]))).
% 0.36/1.40  ncf('1.1.1',plain,[unorthogonal_lines(173 ^ [], 173 ^ [])],extension(175 ^ 2)).
% 0.36/1.40  %-----------------------------------------------------
% 0.36/1.40  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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