TSTP Solution File: GEO217+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO217+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n021.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 11:12:15 EDT 2023
% Result : Theorem 0.33s 1.38s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO217+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n021.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 04:28:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.33/1.38
% 0.33/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 ncf(matrix, plain, [(147 ^ _26385) ^ [] : [convergent_lines(143 ^ [], 144 ^ [])], (149 ^ _26385) ^ [] : [convergent_lines(143 ^ [], 145 ^ [])], (151 ^ _26385) ^ [] : [-(convergent_lines(144 ^ [], 145 ^ []))], (110 ^ _26385) ^ [_30035, _30037] : [-(convergent_lines(_30037, _30035)), -(unorthogonal_lines(_30037, _30035))], (134 ^ _26385) ^ [_30829, _30831, _30833] : [convergent_lines(_30831, _30829), -(unorthogonal_lines(_30833, _30831)), -(unorthogonal_lines(_30833, _30829))], (116 ^ _26385) ^ [_30264, _30266, _30268] : [119 ^ _26385 : [(120 ^ _26385) ^ [] : [-(convergent_lines(_30268, _30266))], (122 ^ _26385) ^ [] : [-(unorthogonal_lines(_30268, _30266))]], 123 ^ _26385 : [(124 ^ _26385) ^ [] : [-(convergent_lines(_30268, _30264))], (126 ^ _26385) ^ [] : [-(unorthogonal_lines(_30268, _30264))]], convergent_lines(_30266, _30264), unorthogonal_lines(_30266, _30264)], (2 ^ _26385) ^ [_26488] : [distinct_points(_26488, _26488)], (4 ^ _26385) ^ [_26565] : [distinct_lines(_26565, _26565)], (6 ^ _26385) ^ [_26642] : [convergent_lines(_26642, _26642)], (8 ^ _26385) ^ [_26763, _26765, _26767] : [distinct_points(_26767, _26765), -(distinct_points(_26767, _26763)), -(distinct_points(_26765, _26763))], (18 ^ _26385) ^ [_27087, _27089, _27091] : [distinct_lines(_27091, _27089), -(distinct_lines(_27091, _27087)), -(distinct_lines(_27089, _27087))], (28 ^ _26385) ^ [_27411, _27413, _27415] : [convergent_lines(_27415, _27413), -(convergent_lines(_27415, _27411)), -(convergent_lines(_27413, _27411))], (38 ^ _26385) ^ [_27735, _27737, _27739] : [distinct_points(_27739, _27737), apart_point_and_line(_27735, line_connecting(_27739, _27737)), 45 ^ _26385 : [(46 ^ _26385) ^ [] : [-(distinct_points(_27735, _27739))], (48 ^ _26385) ^ [] : [-(distinct_points(_27735, _27737))]]], (50 ^ _26385) ^ [_28141, _28143, _28145] : [convergent_lines(_28145, _28143), 55 ^ _26385 : [(56 ^ _26385) ^ [] : [apart_point_and_line(_28141, _28145)], (58 ^ _26385) ^ [] : [apart_point_and_line(_28141, _28143)]], -(distinct_points(_28141, intersection_point(_28145, _28143)))], (62 ^ _26385) ^ [_28560, _28562, _28564, _28566] : [distinct_points(_28566, _28564), distinct_lines(_28562, _28560), -(apart_point_and_line(_28566, _28562)), -(apart_point_and_line(_28566, _28560)), -(apart_point_and_line(_28564, _28562)), -(apart_point_and_line(_28564, _28560))], (84 ^ _26385) ^ [_29189, _29191, _29193] : [apart_point_and_line(_29193, _29191), -(distinct_points(_29193, _29189)), -(apart_point_and_line(_29189, _29191))], (104 ^ _26385) ^ [_29803, _29805] : [convergent_lines(_29805, _29803), -(distinct_lines(_29805, _29803))], (94 ^ _26385) ^ [_29513, _29515, _29517] : [apart_point_and_line(_29517, _29515), -(distinct_lines(_29515, _29513)), -(apart_point_and_line(_29517, _29513))]], input).
% 0.33/1.38 ncf('1',plain,[convergent_lines(143 ^ [], 144 ^ [])],start(147 ^ 0)).
% 0.33/1.38 ncf('1.1',plain,[-(convergent_lines(143 ^ [], 144 ^ [])), convergent_lines(144 ^ [], 143 ^ []), -(convergent_lines(144 ^ [], 144 ^ []))],extension(28 ^ 1,bind([[_27411, _27413, _27415], [144 ^ [], 143 ^ [], 144 ^ []]]))).
% 0.33/1.38 ncf('1.1.1',plain,[-(convergent_lines(144 ^ [], 143 ^ [])), convergent_lines(144 ^ [], 145 ^ []), -(convergent_lines(145 ^ [], 143 ^ []))],extension(28 ^ 2,bind([[_27411, _27413, _27415], [143 ^ [], 145 ^ [], 144 ^ []]]))).
% 0.33/1.38 ncf('1.1.1.1',plain,[-(convergent_lines(144 ^ [], 145 ^ []))],extension(151 ^ 3)).
% 0.33/1.38 ncf('1.1.1.2',plain,[convergent_lines(145 ^ [], 143 ^ []), -(convergent_lines(145 ^ [], 145 ^ [])), -(convergent_lines(143 ^ [], 145 ^ []))],extension(28 ^ 3,bind([[_27411, _27413, _27415], [145 ^ [], 143 ^ [], 145 ^ []]]))).
% 0.33/1.38 ncf('1.1.1.2.1',plain,[convergent_lines(145 ^ [], 145 ^ [])],extension(6 ^ 4,bind([[_26642], [145 ^ []]]))).
% 0.33/1.38 ncf('1.1.1.2.2',plain,[convergent_lines(143 ^ [], 145 ^ [])],extension(149 ^ 4)).
% 0.33/1.38 ncf('1.1.2',plain,[convergent_lines(144 ^ [], 144 ^ []), -(unorthogonal_lines(144 ^ [], 144 ^ [])), -(unorthogonal_lines(144 ^ [], 144 ^ []))],extension(134 ^ 2,bind([[_30829, _30831, _30833], [144 ^ [], 144 ^ [], 144 ^ []]]))).
% 0.33/1.38 ncf('1.1.2.1',plain,[unorthogonal_lines(144 ^ [], 144 ^ []), 120 : -(convergent_lines(143 ^ [], 144 ^ [])), 124 : -(convergent_lines(143 ^ [], 144 ^ [])), 124 : convergent_lines(144 ^ [], 144 ^ [])],extension(116 ^ 3,bind([[_30264, _30266, _30268], [144 ^ [], 144 ^ [], 143 ^ []]]))).
% 0.33/1.38 ncf('1.1.2.1.1',plain,[convergent_lines(143 ^ [], 144 ^ [])],reduction('1')).
% 0.33/1.38 ncf('1.1.2.1.2',plain,[convergent_lines(143 ^ [], 144 ^ [])],reduction('1')).
% 0.33/1.38 ncf('1.1.2.1.3',plain,[-(convergent_lines(144 ^ [], 144 ^ []))],reduction('1.1')).
% 0.33/1.38 ncf('1.1.2.2',plain,[unorthogonal_lines(144 ^ [], 144 ^ [])],lemmata('[1, 1].x')).
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------