TSTP Solution File: GEO188+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO188+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n011.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 11:12:07 EDT 2023
% Result : Theorem 2.14s 2.41s
% Output : Proof 2.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO188+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 19 04:31:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 2.14/2.41
% 2.14/2.41 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 2.14/2.41 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.41 %-----------------------------------------------------
% 2.14/2.41 ncf(matrix, plain, [(113 ^ _23879) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (115 ^ _23879) ^ [] : [-(distinct_points(109 ^ [], 111 ^ []))], (117 ^ _23879) ^ [] : [-(distinct_points(110 ^ [], 111 ^ []))], (119 ^ _23879) ^ [] : [apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))], (121 ^ _23879) ^ [] : [-(apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 110 ^ [])))], (2 ^ _23879) ^ [_23962] : [distinct_points(_23962, _23962)], (4 ^ _23879) ^ [_24039] : [distinct_lines(_24039, _24039)], (6 ^ _23879) ^ [_24116] : [convergent_lines(_24116, _24116)], (8 ^ _23879) ^ [_24237, _24239, _24241] : [distinct_points(_24241, _24239), -(distinct_points(_24241, _24237)), -(distinct_points(_24239, _24237))], (18 ^ _23879) ^ [_24561, _24563, _24565] : [distinct_lines(_24565, _24563), -(distinct_lines(_24565, _24561)), -(distinct_lines(_24563, _24561))], (28 ^ _23879) ^ [_24885, _24887, _24889] : [convergent_lines(_24889, _24887), -(convergent_lines(_24889, _24885)), -(convergent_lines(_24887, _24885))], (38 ^ _23879) ^ [_25209, _25211, _25213] : [distinct_points(_25213, _25211), apart_point_and_line(_25209, line_connecting(_25213, _25211)), 45 ^ _23879 : [(46 ^ _23879) ^ [] : [-(distinct_points(_25209, _25213))], (48 ^ _23879) ^ [] : [-(distinct_points(_25209, _25211))]]], (50 ^ _23879) ^ [_25615, _25617, _25619] : [convergent_lines(_25619, _25617), 55 ^ _23879 : [(56 ^ _23879) ^ [] : [apart_point_and_line(_25615, _25619)], (58 ^ _23879) ^ [] : [apart_point_and_line(_25615, _25617)]], -(distinct_points(_25615, intersection_point(_25619, _25617)))], (62 ^ _23879) ^ [_26034, _26036, _26038, _26040] : [distinct_points(_26040, _26038), distinct_lines(_26036, _26034), -(apart_point_and_line(_26040, _26036)), -(apart_point_and_line(_26040, _26034)), -(apart_point_and_line(_26038, _26036)), -(apart_point_and_line(_26038, _26034))], (84 ^ _23879) ^ [_26663, _26665, _26667] : [apart_point_and_line(_26667, _26665), -(distinct_points(_26667, _26663)), -(apart_point_and_line(_26663, _26665))], (104 ^ _23879) ^ [_27277, _27279] : [convergent_lines(_27279, _27277), -(distinct_lines(_27279, _27277))], (94 ^ _23879) ^ [_26987, _26989, _26991] : [apart_point_and_line(_26991, _26989), -(distinct_lines(_26989, _26987)), -(apart_point_and_line(_26991, _26987))]], input).
% 2.14/2.41 ncf('1',plain,[apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))],start(119 ^ 0)).
% 2.14/2.41 ncf('1.1',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))), distinct_points(111 ^ [], 110 ^ []), distinct_lines(line_connecting(111 ^ [], 110 ^ []), line_connecting(109 ^ [], 110 ^ [])), -(apart_point_and_line(111 ^ [], line_connecting(111 ^ [], 110 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 110 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(62 ^ 1,bind([[_26034, _26036, _26038, _26040], [line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 110 ^ []), 110 ^ [], 111 ^ []]]))).
% 2.14/2.41 ncf('1.1.1',plain,[-(distinct_points(111 ^ [], 110 ^ [])), distinct_points(111 ^ [], 110 ^ []), -(distinct_points(110 ^ [], 110 ^ []))],extension(8 ^ 2,bind([[_24237, _24239, _24241], [110 ^ [], 110 ^ [], 111 ^ []]]))).
% 2.14/2.41 ncf('1.1.1.1',plain,[-(distinct_points(111 ^ [], 110 ^ [])), distinct_points(110 ^ [], 111 ^ []), -(distinct_points(110 ^ [], 110 ^ []))],extension(8 ^ 3,bind([[_24237, _24239, _24241], [110 ^ [], 111 ^ [], 110 ^ []]]))).
% 2.14/2.41 ncf('1.1.1.1.1',plain,[-(distinct_points(110 ^ [], 111 ^ []))],extension(117 ^ 4)).
% 2.14/2.41 ncf('1.1.1.1.2',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 4,bind([[_23962], [110 ^ []]]))).
% 2.14/2.41 ncf('1.1.1.2',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 3,bind([[_23962], [110 ^ []]]))).
% 2.14/2.41 ncf('1.1.2',plain,[-(distinct_lines(line_connecting(111 ^ [], 110 ^ []), line_connecting(109 ^ [], 110 ^ []))), apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 110 ^ [])), -(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(94 ^ 2,bind([[_26987, _26989, _26991], [line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 110 ^ []), 109 ^ []]]))).
% 2.14/2.41 ncf('1.1.2.1',plain,[-(apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 110 ^ [])))],extension(121 ^ 3)).
% 2.14/2.41 ncf('1.1.2.2',plain,[apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 3,bind([[_25209, _25211, _25213], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 2.14/2.41 ncf('1.1.2.2.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 2.14/2.41 ncf('1.1.2.2.2',plain,[distinct_points(109 ^ [], 109 ^ [])],extension(2 ^ 6,bind([[_23962], [109 ^ []]]))).
% 2.14/2.41 ncf('1.1.3',plain,[apart_point_and_line(111 ^ [], line_connecting(111 ^ [], 110 ^ [])), distinct_points(111 ^ [], 110 ^ []), 46 : -(distinct_points(111 ^ [], 111 ^ []))],extension(38 ^ 2,bind([[_25209, _25211, _25213], [111 ^ [], 110 ^ [], 111 ^ []]]))).
% 2.14/2.41 ncf('1.1.3.1',plain,[-(distinct_points(111 ^ [], 110 ^ []))],lemmata('[1].x')).
% 2.14/2.41 ncf('1.1.3.2',plain,[distinct_points(111 ^ [], 111 ^ [])],extension(2 ^ 5,bind([[_23962], [111 ^ []]]))).
% 2.14/2.41 ncf('1.1.4',plain,[apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 110 ^ [])), distinct_points(111 ^ [], 110 ^ []), 46 : -(distinct_points(110 ^ [], 111 ^ []))],extension(38 ^ 2,bind([[_25209, _25211, _25213], [110 ^ [], 110 ^ [], 111 ^ []]]))).
% 2.14/2.41 ncf('1.1.4.1',plain,[-(distinct_points(111 ^ [], 110 ^ []))],lemmata('[1].x')).
% 2.14/2.41 ncf('1.1.4.2',plain,[distinct_points(110 ^ [], 111 ^ []), -(distinct_points(110 ^ [], 110 ^ [])), -(distinct_points(111 ^ [], 110 ^ []))],extension(8 ^ 5,bind([[_24237, _24239, _24241], [110 ^ [], 111 ^ [], 110 ^ []]]))).
% 2.14/2.41 ncf('1.1.4.2.1',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 6,bind([[_23962], [110 ^ []]]))).
% 2.14/2.41 ncf('1.1.4.2.2',plain,[distinct_points(111 ^ [], 110 ^ []), apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 110 ^ [])), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 6,bind([[_25209, _25211, _25213], [110 ^ [], 110 ^ [], 111 ^ []]]))).
% 2.14/2.41 ncf('1.1.4.2.2.1',plain,[-(apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 110 ^ [])))],reduction('1.1')).
% 2.14/2.41 ncf('1.1.4.2.2.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[4, 1, 1].x')).
% 2.14/2.41 ncf('1.1.5',plain,[apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(110 ^ [], 109 ^ []))],extension(38 ^ 2,bind([[_25209, _25211, _25213], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 2.14/2.41 ncf('1.1.5.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 3)).
% 2.14/2.41 ncf('1.1.5.2',plain,[distinct_points(110 ^ [], 109 ^ []), -(distinct_points(110 ^ [], 110 ^ [])), -(distinct_points(109 ^ [], 110 ^ []))],extension(8 ^ 5,bind([[_24237, _24239, _24241], [110 ^ [], 109 ^ [], 110 ^ []]]))).
% 2.14/2.41 ncf('1.1.5.2.1',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 6,bind([[_23962], [110 ^ []]]))).
% 2.14/2.41 ncf('1.1.5.2.2',plain,[distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 6,bind([[_25209, _25211, _25213], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 2.14/2.41 ncf('1.1.5.2.2.1',plain,[-(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])))],reduction('1.1')).
% 2.14/2.41 ncf('1.1.5.2.2.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[5, 1, 1].x')).
% 2.14/2.41 %-----------------------------------------------------
% 2.14/2.41 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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