TSTP Solution File: GEO190+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO190+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n003.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 11:12:08 EDT 2023
% Result : Theorem 0.32s 1.37s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO190+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n003.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 04:23:30 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.32/1.37
% 0.32/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.37 %-----------------------------------------------------
% 0.32/1.37 ncf(matrix, plain, [(113 ^ _22644) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (115 ^ _22644) ^ [] : [-(distinct_points(109 ^ [], 111 ^ []))], (117 ^ _22644) ^ [] : [-(distinct_points(110 ^ [], 111 ^ []))], (119 ^ _22644) ^ [] : [apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))], (121 ^ _22644) ^ [] : [-(apart_point_and_line(111 ^ [], line_connecting(110 ^ [], 109 ^ [])))], (2 ^ _22644) ^ [_22727] : [distinct_points(_22727, _22727)], (4 ^ _22644) ^ [_22804] : [distinct_lines(_22804, _22804)], (6 ^ _22644) ^ [_22881] : [convergent_lines(_22881, _22881)], (8 ^ _22644) ^ [_23002, _23004, _23006] : [distinct_points(_23006, _23004), -(distinct_points(_23006, _23002)), -(distinct_points(_23004, _23002))], (18 ^ _22644) ^ [_23326, _23328, _23330] : [distinct_lines(_23330, _23328), -(distinct_lines(_23330, _23326)), -(distinct_lines(_23328, _23326))], (28 ^ _22644) ^ [_23650, _23652, _23654] : [convergent_lines(_23654, _23652), -(convergent_lines(_23654, _23650)), -(convergent_lines(_23652, _23650))], (38 ^ _22644) ^ [_23974, _23976, _23978] : [distinct_points(_23978, _23976), apart_point_and_line(_23974, line_connecting(_23978, _23976)), 45 ^ _22644 : [(46 ^ _22644) ^ [] : [-(distinct_points(_23974, _23978))], (48 ^ _22644) ^ [] : [-(distinct_points(_23974, _23976))]]], (50 ^ _22644) ^ [_24380, _24382, _24384] : [convergent_lines(_24384, _24382), 55 ^ _22644 : [(56 ^ _22644) ^ [] : [apart_point_and_line(_24380, _24384)], (58 ^ _22644) ^ [] : [apart_point_and_line(_24380, _24382)]], -(distinct_points(_24380, intersection_point(_24384, _24382)))], (62 ^ _22644) ^ [_24799, _24801, _24803, _24805] : [distinct_points(_24805, _24803), distinct_lines(_24801, _24799), -(apart_point_and_line(_24805, _24801)), -(apart_point_and_line(_24805, _24799)), -(apart_point_and_line(_24803, _24801)), -(apart_point_and_line(_24803, _24799))], (84 ^ _22644) ^ [_25428, _25430, _25432] : [apart_point_and_line(_25432, _25430), -(distinct_points(_25432, _25428)), -(apart_point_and_line(_25428, _25430))], (104 ^ _22644) ^ [_26042, _26044] : [convergent_lines(_26044, _26042), -(distinct_lines(_26044, _26042))], (94 ^ _22644) ^ [_25752, _25754, _25756] : [apart_point_and_line(_25756, _25754), -(distinct_lines(_25754, _25752)), -(apart_point_and_line(_25756, _25752))]], input).
% 0.32/1.37 ncf('1',plain,[distinct_points(109 ^ [], 109 ^ [])],start(2 ^ 0,bind([[_22727], [109 ^ []]]))).
% 0.32/1.37 ncf('1.1',plain,[-(distinct_points(109 ^ [], 109 ^ [])), distinct_points(109 ^ [], 110 ^ []), -(distinct_points(110 ^ [], 109 ^ []))],extension(8 ^ 1,bind([[_23002, _23004, _23006], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.32/1.37 ncf('1.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 2)).
% 0.32/1.37 ncf('1.1.2',plain,[distinct_points(110 ^ [], 109 ^ []), -(distinct_points(110 ^ [], 110 ^ [])), -(distinct_points(109 ^ [], 110 ^ []))],extension(8 ^ 2,bind([[_23002, _23004, _23006], [110 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.32/1.37 ncf('1.1.2.1',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 3,bind([[_22727], [110 ^ []]]))).
% 0.32/1.37 ncf('1.1.2.2',plain,[distinct_points(109 ^ [], 110 ^ []), distinct_lines(line_connecting(110 ^ [], 109 ^ []), line_connecting(109 ^ [], 110 ^ [])), -(apart_point_and_line(109 ^ [], line_connecting(110 ^ [], 109 ^ []))), -(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(110 ^ [], 109 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(62 ^ 3,bind([[_24799, _24801, _24803, _24805], [line_connecting(109 ^ [], 110 ^ []), line_connecting(110 ^ [], 109 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.32/1.37 ncf('1.1.2.2.1',plain,[-(distinct_lines(line_connecting(110 ^ [], 109 ^ []), line_connecting(109 ^ [], 110 ^ []))), apart_point_and_line(111 ^ [], line_connecting(110 ^ [], 109 ^ [])), -(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(94 ^ 4,bind([[_25752, _25754, _25756], [line_connecting(109 ^ [], 110 ^ []), line_connecting(110 ^ [], 109 ^ []), 111 ^ []]]))).
% 0.32/1.37 ncf('1.1.2.2.1.1',plain,[-(apart_point_and_line(111 ^ [], line_connecting(110 ^ [], 109 ^ [])))],extension(121 ^ 5)).
% 0.32/1.37 ncf('1.1.2.2.1.2',plain,[apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))],extension(119 ^ 5)).
% 0.32/1.37 ncf('1.1.2.2.2',plain,[apart_point_and_line(109 ^ [], line_connecting(110 ^ [], 109 ^ [])), distinct_points(110 ^ [], 109 ^ []), 48 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 4,bind([[_23974, _23976, _23978], [109 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.32/1.37 ncf('1.1.2.2.2.1',plain,[-(distinct_points(110 ^ [], 109 ^ []))],reduction('1.1')).
% 0.32/1.37 ncf('1.1.2.2.2.2',plain,[distinct_points(109 ^ [], 109 ^ [])],reduction('1')).
% 0.32/1.37 ncf('1.1.2.2.3',plain,[apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 4,bind([[_23974, _23976, _23978], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.32/1.37 ncf('1.1.2.2.3.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.32/1.37 ncf('1.1.2.2.3.2',plain,[distinct_points(109 ^ [], 109 ^ [])],reduction('1')).
% 0.32/1.37 ncf('1.1.2.2.4',plain,[apart_point_and_line(110 ^ [], line_connecting(110 ^ [], 109 ^ [])), distinct_points(110 ^ [], 109 ^ []), 46 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 4,bind([[_23974, _23976, _23978], [110 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.32/1.37 ncf('1.1.2.2.4.1',plain,[-(distinct_points(110 ^ [], 109 ^ []))],reduction('1.1')).
% 0.32/1.37 ncf('1.1.2.2.4.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[1, 1].x')).
% 0.32/1.37 ncf('1.1.2.2.5',plain,[apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 4,bind([[_23974, _23976, _23978], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.32/1.37 ncf('1.1.2.2.5.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.32/1.37 ncf('1.1.2.2.5.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[1, 1].x')).
% 0.32/1.37 %-----------------------------------------------------
% 0.32/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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