TSTP Solution File: GEO180+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO180+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n025.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 11:12:05 EDT 2023
% Result : Theorem 0.33s 1.37s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO180+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n025.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 04:31:18 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.33/1.37
% 0.33/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.37 %-----------------------------------------------------
% 0.33/1.37 ncf(matrix, plain, [(113 ^ _23681) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (115 ^ _23681) ^ [] : [-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))], (117 ^ _23681) ^ [] : [apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 110 ^ []))], (2 ^ _23681) ^ [_23764] : [distinct_points(_23764, _23764)], (4 ^ _23681) ^ [_23841] : [distinct_lines(_23841, _23841)], (6 ^ _23681) ^ [_23918] : [convergent_lines(_23918, _23918)], (8 ^ _23681) ^ [_24039, _24041, _24043] : [distinct_points(_24043, _24041), -(distinct_points(_24043, _24039)), -(distinct_points(_24041, _24039))], (18 ^ _23681) ^ [_24363, _24365, _24367] : [distinct_lines(_24367, _24365), -(distinct_lines(_24367, _24363)), -(distinct_lines(_24365, _24363))], (28 ^ _23681) ^ [_24687, _24689, _24691] : [convergent_lines(_24691, _24689), -(convergent_lines(_24691, _24687)), -(convergent_lines(_24689, _24687))], (38 ^ _23681) ^ [_25011, _25013, _25015] : [distinct_points(_25015, _25013), apart_point_and_line(_25011, line_connecting(_25015, _25013)), 45 ^ _23681 : [(46 ^ _23681) ^ [] : [-(distinct_points(_25011, _25015))], (48 ^ _23681) ^ [] : [-(distinct_points(_25011, _25013))]]], (50 ^ _23681) ^ [_25417, _25419, _25421] : [convergent_lines(_25421, _25419), 55 ^ _23681 : [(56 ^ _23681) ^ [] : [apart_point_and_line(_25417, _25421)], (58 ^ _23681) ^ [] : [apart_point_and_line(_25417, _25419)]], -(distinct_points(_25417, intersection_point(_25421, _25419)))], (62 ^ _23681) ^ [_25836, _25838, _25840, _25842] : [distinct_points(_25842, _25840), distinct_lines(_25838, _25836), -(apart_point_and_line(_25842, _25838)), -(apart_point_and_line(_25842, _25836)), -(apart_point_and_line(_25840, _25838)), -(apart_point_and_line(_25840, _25836))], (84 ^ _23681) ^ [_26465, _26467, _26469] : [apart_point_and_line(_26469, _26467), -(distinct_points(_26469, _26465)), -(apart_point_and_line(_26465, _26467))], (104 ^ _23681) ^ [_27079, _27081] : [convergent_lines(_27081, _27079), -(distinct_lines(_27081, _27079))], (94 ^ _23681) ^ [_26789, _26791, _26793] : [apart_point_and_line(_26793, _26791), -(distinct_lines(_26791, _26789)), -(apart_point_and_line(_26793, _26789))]], input).
% 0.33/1.37 ncf('1',plain,[apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 110 ^ []))],start(117 ^ 0)).
% 0.33/1.37 ncf('1.1',plain,[-(apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 110 ^ []))), distinct_points(109 ^ [], 110 ^ []), distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 110 ^ [])), -(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 110 ^ [])))],extension(62 ^ 1,bind([[_25836, _25838, _25840, _25842], [line_connecting(111 ^ [], 110 ^ []), line_connecting(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.33/1.37 ncf('1.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 2)).
% 0.33/1.37 ncf('1.1.2',plain,[-(distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 110 ^ []))), apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])), -(apart_point_and_line(111 ^ [], line_connecting(111 ^ [], 110 ^ [])))],extension(94 ^ 2,bind([[_26789, _26791, _26793], [line_connecting(111 ^ [], 110 ^ []), line_connecting(109 ^ [], 110 ^ []), 111 ^ []]]))).
% 0.33/1.37 ncf('1.1.2.1',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(115 ^ 3)).
% 0.33/1.37 ncf('1.1.2.2',plain,[apart_point_and_line(111 ^ [], line_connecting(111 ^ [], 110 ^ [])), distinct_points(111 ^ [], 110 ^ []), 46 : -(distinct_points(111 ^ [], 111 ^ []))],extension(38 ^ 3,bind([[_25011, _25013, _25015], [111 ^ [], 110 ^ [], 111 ^ []]]))).
% 0.33/1.37 ncf('1.1.2.2.1',plain,[-(distinct_points(111 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))],extension(38 ^ 4,bind([[_25011, _25013, _25015], [111 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.33/1.37 ncf('1.1.2.2.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 5)).
% 0.33/1.37 ncf('1.1.2.2.1.2',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],lemmata('[1, 1].x')).
% 0.33/1.37 ncf('1.1.2.2.2',plain,[distinct_points(111 ^ [], 111 ^ [])],extension(2 ^ 6,bind([[_23764], [111 ^ []]]))).
% 0.33/1.37 ncf('1.1.3',plain,[apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 2,bind([[_25011, _25013, _25015], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.33/1.37 ncf('1.1.3.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.33/1.37 ncf('1.1.3.2',plain,[distinct_points(109 ^ [], 109 ^ [])],extension(2 ^ 5,bind([[_23764], [109 ^ []]]))).
% 0.33/1.37 ncf('1.1.4',plain,[apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(110 ^ [], 109 ^ []))],extension(38 ^ 2,bind([[_25011, _25013, _25015], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.33/1.37 ncf('1.1.4.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.33/1.37 ncf('1.1.4.2',plain,[distinct_points(110 ^ [], 109 ^ []), -(distinct_points(110 ^ [], 110 ^ [])), -(distinct_points(109 ^ [], 110 ^ []))],extension(8 ^ 5,bind([[_24039, _24041, _24043], [110 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.33/1.37 ncf('1.1.4.2.1',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 6,bind([[_23764], [110 ^ []]]))).
% 0.33/1.37 ncf('1.1.4.2.2',plain,[distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 6,bind([[_25011, _25013, _25015], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.33/1.37 ncf('1.1.4.2.2.1',plain,[-(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])))],reduction('1.1')).
% 0.33/1.37 ncf('1.1.4.2.2.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[4, 1, 1].x')).
% 0.33/1.37 ncf('1.1.5',plain,[apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 110 ^ [])), distinct_points(111 ^ [], 110 ^ []), 46 : -(distinct_points(110 ^ [], 111 ^ []))],extension(38 ^ 2,bind([[_25011, _25013, _25015], [110 ^ [], 110 ^ [], 111 ^ []]]))).
% 0.33/1.37 ncf('1.1.5.1',plain,[-(distinct_points(111 ^ [], 110 ^ [])), distinct_points(111 ^ [], 109 ^ []), -(distinct_points(109 ^ [], 110 ^ []))],extension(8 ^ 3,bind([[_24039, _24041, _24043], [110 ^ [], 109 ^ [], 111 ^ []]]))).
% 0.33/1.37 ncf('1.1.5.1.1',plain,[-(distinct_points(111 ^ [], 109 ^ [])), distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))],extension(38 ^ 4,bind([[_25011, _25013, _25015], [111 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.33/1.37 ncf('1.1.5.1.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 5)).
% 0.33/1.37 ncf('1.1.5.1.1.2',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(115 ^ 5)).
% 0.33/1.37 ncf('1.1.5.1.2',plain,[distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])), 48 : -(distinct_points(111 ^ [], 110 ^ []))],extension(38 ^ 4,bind([[_25011, _25013, _25015], [111 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.33/1.37 ncf('1.1.5.1.2.1',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(115 ^ 5)).
% 0.33/1.37 ncf('1.1.5.1.2.2',plain,[distinct_points(111 ^ [], 110 ^ [])],reduction('1.1.5')).
% 0.33/1.37 ncf('1.1.5.2',plain,[distinct_points(110 ^ [], 111 ^ []), -(distinct_points(110 ^ [], 110 ^ [])), -(distinct_points(111 ^ [], 110 ^ []))],extension(8 ^ 5,bind([[_24039, _24041, _24043], [110 ^ [], 111 ^ [], 110 ^ []]]))).
% 0.33/1.37 ncf('1.1.5.2.1',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 6,bind([[_23764], [110 ^ []]]))).
% 0.33/1.37 ncf('1.1.5.2.2',plain,[distinct_points(111 ^ [], 110 ^ []), apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 110 ^ [])), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 6,bind([[_25011, _25013, _25015], [110 ^ [], 110 ^ [], 111 ^ []]]))).
% 0.33/1.37 ncf('1.1.5.2.2.1',plain,[-(apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 110 ^ [])))],reduction('1.1')).
% 0.33/1.37 ncf('1.1.5.2.2.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[5, 1, 1].x')).
% 0.33/1.37 %-----------------------------------------------------
% 0.33/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------