TSTP Solution File: GEO218+2 by nanoCoP---2.0

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% File     : nanoCoP---2.0
% Problem  : GEO218+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n001.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 11:12:16 EDT 2023

% Result   : Theorem 0.32s 1.37s
% 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
% 0.03/0.12  % Problem  : GEO218+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n001.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 05:06:20 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.32/1.37  
% 0.32/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  ncf(matrix, plain, [(147 ^ _26421) ^ [] : [convergent_lines(143 ^ [], 144 ^ [])], (149 ^ _26421) ^ [] : [unorthogonal_lines(143 ^ [], 145 ^ [])], (151 ^ _26421) ^ [] : [-(unorthogonal_lines(144 ^ [], 145 ^ []))], (110 ^ _26421) ^ [_30071, _30073] : [-(convergent_lines(_30073, _30071)), -(unorthogonal_lines(_30073, _30071))], (134 ^ _26421) ^ [_30865, _30867, _30869] : [convergent_lines(_30867, _30865), -(unorthogonal_lines(_30869, _30867)), -(unorthogonal_lines(_30869, _30865))], (116 ^ _26421) ^ [_30300, _30302, _30304] : [119 ^ _26421 : [(120 ^ _26421) ^ [] : [-(convergent_lines(_30304, _30302))], (122 ^ _26421) ^ [] : [-(unorthogonal_lines(_30304, _30302))]], 123 ^ _26421 : [(124 ^ _26421) ^ [] : [-(convergent_lines(_30304, _30300))], (126 ^ _26421) ^ [] : [-(unorthogonal_lines(_30304, _30300))]], convergent_lines(_30302, _30300), unorthogonal_lines(_30302, _30300)], (2 ^ _26421) ^ [_26524] : [distinct_points(_26524, _26524)], (4 ^ _26421) ^ [_26601] : [distinct_lines(_26601, _26601)], (6 ^ _26421) ^ [_26678] : [convergent_lines(_26678, _26678)], (8 ^ _26421) ^ [_26799, _26801, _26803] : [distinct_points(_26803, _26801), -(distinct_points(_26803, _26799)), -(distinct_points(_26801, _26799))], (18 ^ _26421) ^ [_27123, _27125, _27127] : [distinct_lines(_27127, _27125), -(distinct_lines(_27127, _27123)), -(distinct_lines(_27125, _27123))], (28 ^ _26421) ^ [_27447, _27449, _27451] : [convergent_lines(_27451, _27449), -(convergent_lines(_27451, _27447)), -(convergent_lines(_27449, _27447))], (38 ^ _26421) ^ [_27771, _27773, _27775] : [distinct_points(_27775, _27773), apart_point_and_line(_27771, line_connecting(_27775, _27773)), 45 ^ _26421 : [(46 ^ _26421) ^ [] : [-(distinct_points(_27771, _27775))], (48 ^ _26421) ^ [] : [-(distinct_points(_27771, _27773))]]], (50 ^ _26421) ^ [_28177, _28179, _28181] : [convergent_lines(_28181, _28179), 55 ^ _26421 : [(56 ^ _26421) ^ [] : [apart_point_and_line(_28177, _28181)], (58 ^ _26421) ^ [] : [apart_point_and_line(_28177, _28179)]], -(distinct_points(_28177, intersection_point(_28181, _28179)))], (62 ^ _26421) ^ [_28596, _28598, _28600, _28602] : [distinct_points(_28602, _28600), distinct_lines(_28598, _28596), -(apart_point_and_line(_28602, _28598)), -(apart_point_and_line(_28602, _28596)), -(apart_point_and_line(_28600, _28598)), -(apart_point_and_line(_28600, _28596))], (84 ^ _26421) ^ [_29225, _29227, _29229] : [apart_point_and_line(_29229, _29227), -(distinct_points(_29229, _29225)), -(apart_point_and_line(_29225, _29227))], (104 ^ _26421) ^ [_29839, _29841] : [convergent_lines(_29841, _29839), -(distinct_lines(_29841, _29839))], (94 ^ _26421) ^ [_29549, _29551, _29553] : [apart_point_and_line(_29553, _29551), -(distinct_lines(_29551, _29549)), -(apart_point_and_line(_29553, _29549))]], input).
% 0.35/1.37  ncf('1',plain,[convergent_lines(143 ^ [], 144 ^ [])],start(147 ^ 0)).
% 0.35/1.37  ncf('1.1',plain,[-(convergent_lines(143 ^ [], 144 ^ [])), convergent_lines(143 ^ [], 145 ^ []), -(convergent_lines(145 ^ [], 144 ^ []))],extension(28 ^ 1,bind([[_27447, _27449, _27451], [144 ^ [], 145 ^ [], 143 ^ []]]))).
% 0.35/1.37  ncf('1.1.1',plain,[-(convergent_lines(143 ^ [], 145 ^ [])), -(unorthogonal_lines(143 ^ [], 145 ^ []))],extension(110 ^ 2,bind([[_30071, _30073], [145 ^ [], 143 ^ []]]))).
% 0.35/1.37  ncf('1.1.1.1',plain,[unorthogonal_lines(143 ^ [], 145 ^ [])],extension(149 ^ 3)).
% 0.35/1.37  ncf('1.1.2',plain,[convergent_lines(145 ^ [], 144 ^ []), -(convergent_lines(145 ^ [], 145 ^ [])), -(convergent_lines(144 ^ [], 145 ^ []))],extension(28 ^ 2,bind([[_27447, _27449, _27451], [145 ^ [], 144 ^ [], 145 ^ []]]))).
% 0.35/1.37  ncf('1.1.2.1',plain,[convergent_lines(145 ^ [], 145 ^ []), -(unorthogonal_lines(143 ^ [], 145 ^ [])), -(unorthogonal_lines(143 ^ [], 145 ^ []))],extension(134 ^ 3,bind([[_30865, _30867, _30869], [145 ^ [], 145 ^ [], 143 ^ []]]))).
% 0.35/1.37  ncf('1.1.2.1.1',plain,[unorthogonal_lines(143 ^ [], 145 ^ [])],extension(149 ^ 4)).
% 0.35/1.37  ncf('1.1.2.1.2',plain,[unorthogonal_lines(143 ^ [], 145 ^ [])],extension(149 ^ 4)).
% 0.35/1.37  ncf('1.1.2.2',plain,[convergent_lines(144 ^ [], 145 ^ []), 120 : -(convergent_lines(143 ^ [], 144 ^ [])), 126 : -(unorthogonal_lines(143 ^ [], 145 ^ [])), 126 : unorthogonal_lines(144 ^ [], 145 ^ [])],extension(116 ^ 3,bind([[_30300, _30302, _30304], [145 ^ [], 144 ^ [], 143 ^ []]]))).
% 0.35/1.37  ncf('1.1.2.2.1',plain,[convergent_lines(143 ^ [], 144 ^ [])],reduction('1')).
% 0.35/1.37  ncf('1.1.2.2.2',plain,[unorthogonal_lines(143 ^ [], 145 ^ [])],extension(149 ^ 6)).
% 0.35/1.37  ncf('1.1.2.2.3',plain,[-(unorthogonal_lines(144 ^ [], 145 ^ []))],extension(151 ^ 4)).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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