TSTP Solution File: GEO202+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO202+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n027.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 11:12:11 EDT 2023
% Result : Theorem 0.35s 1.37s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO202+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 19 04:29:36 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.35/1.37
% 0.35/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 ncf(matrix, plain, [(113 ^ _22742) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (115 ^ _22742) ^ [] : [-(distinct_points(109 ^ [], 111 ^ []))], (117 ^ _22742) ^ [] : [-(convergent_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])))], (119 ^ _22742) ^ [] : [-(distinct_points(intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), 109 ^ []))], (2 ^ _22742) ^ [_22825] : [distinct_points(_22825, _22825)], (4 ^ _22742) ^ [_22902] : [distinct_lines(_22902, _22902)], (6 ^ _22742) ^ [_22979] : [convergent_lines(_22979, _22979)], (8 ^ _22742) ^ [_23100, _23102, _23104] : [distinct_points(_23104, _23102), -(distinct_points(_23104, _23100)), -(distinct_points(_23102, _23100))], (18 ^ _22742) ^ [_23424, _23426, _23428] : [distinct_lines(_23428, _23426), -(distinct_lines(_23428, _23424)), -(distinct_lines(_23426, _23424))], (28 ^ _22742) ^ [_23748, _23750, _23752] : [convergent_lines(_23752, _23750), -(convergent_lines(_23752, _23748)), -(convergent_lines(_23750, _23748))], (38 ^ _22742) ^ [_24072, _24074, _24076] : [distinct_points(_24076, _24074), apart_point_and_line(_24072, line_connecting(_24076, _24074)), 45 ^ _22742 : [(46 ^ _22742) ^ [] : [-(distinct_points(_24072, _24076))], (48 ^ _22742) ^ [] : [-(distinct_points(_24072, _24074))]]], (50 ^ _22742) ^ [_24478, _24480, _24482] : [convergent_lines(_24482, _24480), 55 ^ _22742 : [(56 ^ _22742) ^ [] : [apart_point_and_line(_24478, _24482)], (58 ^ _22742) ^ [] : [apart_point_and_line(_24478, _24480)]], -(distinct_points(_24478, intersection_point(_24482, _24480)))], (62 ^ _22742) ^ [_24897, _24899, _24901, _24903] : [distinct_points(_24903, _24901), distinct_lines(_24899, _24897), -(apart_point_and_line(_24903, _24899)), -(apart_point_and_line(_24903, _24897)), -(apart_point_and_line(_24901, _24899)), -(apart_point_and_line(_24901, _24897))], (84 ^ _22742) ^ [_25526, _25528, _25530] : [apart_point_and_line(_25530, _25528), -(distinct_points(_25530, _25526)), -(apart_point_and_line(_25526, _25528))], (104 ^ _22742) ^ [_26140, _26142] : [convergent_lines(_26142, _26140), -(distinct_lines(_26142, _26140))], (94 ^ _22742) ^ [_25850, _25852, _25854] : [apart_point_and_line(_25854, _25852), -(distinct_lines(_25852, _25850)), -(apart_point_and_line(_25854, _25850))]], input).
% 0.35/1.37 ncf('1',plain,[distinct_points(109 ^ [], 109 ^ [])],start(2 ^ 0,bind([[_22825], [109 ^ []]]))).
% 0.35/1.37 ncf('1.1',plain,[-(distinct_points(109 ^ [], 109 ^ [])), distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ []))],extension(38 ^ 1,bind([[_24072, _24074, _24076], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.35/1.37 ncf('1.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 2)).
% 0.35/1.37 ncf('1.1.2',plain,[-(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ []))), distinct_points(intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), 109 ^ []), distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), -(apart_point_and_line(intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), line_connecting(109 ^ [], 111 ^ []))), -(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 111 ^ [])))],extension(62 ^ 2,bind([[_24897, _24899, _24901, _24903], [line_connecting(109 ^ [], 111 ^ []), line_connecting(109 ^ [], 110 ^ []), 109 ^ [], intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ []))]]))).
% 0.35/1.37 ncf('1.1.2.1',plain,[-(distinct_points(intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), 109 ^ []))],extension(119 ^ 3)).
% 0.35/1.37 ncf('1.1.2.2',plain,[-(distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ []))), distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), -(distinct_lines(line_connecting(109 ^ [], 111 ^ []), line_connecting(109 ^ [], 111 ^ [])))],extension(18 ^ 3,bind([[_23424, _23426, _23428], [line_connecting(109 ^ [], 111 ^ []), line_connecting(109 ^ [], 111 ^ []), line_connecting(109 ^ [], 110 ^ [])]]))).
% 0.35/1.37 ncf('1.1.2.2.1',plain,[-(distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ []))), convergent_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ []))],extension(104 ^ 4,bind([[_26140, _26142], [line_connecting(109 ^ [], 111 ^ []), line_connecting(109 ^ [], 110 ^ [])]]))).
% 0.35/1.37 ncf('1.1.2.2.1.1',plain,[-(convergent_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])))],extension(117 ^ 5)).
% 0.35/1.37 ncf('1.1.2.2.2',plain,[distinct_lines(line_connecting(109 ^ [], 111 ^ []), line_connecting(109 ^ [], 111 ^ []))],extension(4 ^ 4,bind([[_22902], [line_connecting(109 ^ [], 111 ^ [])]]))).
% 0.35/1.37 ncf('1.1.2.3',plain,[apart_point_and_line(intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), line_connecting(109 ^ [], 110 ^ [])), convergent_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), -(distinct_points(intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ []))))],extension(50 ^ 3,bind([[_24478, _24480, _24482], [intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), line_connecting(109 ^ [], 111 ^ []), line_connecting(109 ^ [], 110 ^ [])]]))).
% 0.35/1.37 ncf('1.1.2.3.1',plain,[-(convergent_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])))],extension(117 ^ 4)).
% 0.35/1.37 ncf('1.1.2.3.2',plain,[distinct_points(intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])))],extension(2 ^ 4,bind([[_22825], [intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ []))]]))).
% 0.35/1.37 ncf('1.1.2.4',plain,[apart_point_and_line(intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), line_connecting(109 ^ [], 111 ^ [])), convergent_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), -(distinct_points(intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ []))))],extension(50 ^ 3,bind([[_24478, _24480, _24482], [intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), line_connecting(109 ^ [], 111 ^ []), line_connecting(109 ^ [], 110 ^ [])]]))).
% 0.35/1.37 ncf('1.1.2.4.1',plain,[-(convergent_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])))],extension(117 ^ 4)).
% 0.35/1.37 ncf('1.1.2.4.2',plain,[distinct_points(intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])))],extension(2 ^ 4,bind([[_22825], [intersection_point(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ []))]]))).
% 0.35/1.37 ncf('1.1.2.5',plain,[apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 111 ^ [])), distinct_points(109 ^ [], 111 ^ []), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 3,bind([[_24072, _24074, _24076], [109 ^ [], 111 ^ [], 109 ^ []]]))).
% 0.35/1.37 ncf('1.1.2.5.1',plain,[-(distinct_points(109 ^ [], 111 ^ []))],extension(115 ^ 4)).
% 0.35/1.37 ncf('1.1.2.5.2',plain,[distinct_points(109 ^ [], 109 ^ [])],reduction('1')).
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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