TSTP Solution File: GEO179+2 by nanoCoP---2.0
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- Process Solution
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% File : nanoCoP---2.0
% Problem : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 0.34s 1.41s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14 % Command : nanocop.sh %s %d
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 19 04:07:47 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.34/1.41
% 0.34/1.41 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.41 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.41 ncf(matrix, plain, [(113 ^ _22158) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (115 ^ _22158) ^ [] : [-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))], (117 ^ _22158) ^ [] : [distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 109 ^ [])), distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 110 ^ []))], (2 ^ _22158) ^ [_22241] : [distinct_points(_22241, _22241)], (4 ^ _22158) ^ [_22318] : [distinct_lines(_22318, _22318)], (6 ^ _22158) ^ [_22395] : [convergent_lines(_22395, _22395)], (8 ^ _22158) ^ [_22516, _22518, _22520] : [distinct_points(_22520, _22518), -(distinct_points(_22520, _22516)), -(distinct_points(_22518, _22516))], (18 ^ _22158) ^ [_22840, _22842, _22844] : [distinct_lines(_22844, _22842), -(distinct_lines(_22844, _22840)), -(distinct_lines(_22842, _22840))], (28 ^ _22158) ^ [_23164, _23166, _23168] : [convergent_lines(_23168, _23166), -(convergent_lines(_23168, _23164)), -(convergent_lines(_23166, _23164))], (38 ^ _22158) ^ [_23488, _23490, _23492] : [distinct_points(_23492, _23490), apart_point_and_line(_23488, line_connecting(_23492, _23490)), 45 ^ _22158 : [(46 ^ _22158) ^ [] : [-(distinct_points(_23488, _23492))], (48 ^ _22158) ^ [] : [-(distinct_points(_23488, _23490))]]], (50 ^ _22158) ^ [_23894, _23896, _23898] : [convergent_lines(_23898, _23896), 55 ^ _22158 : [(56 ^ _22158) ^ [] : [apart_point_and_line(_23894, _23898)], (58 ^ _22158) ^ [] : [apart_point_and_line(_23894, _23896)]], -(distinct_points(_23894, intersection_point(_23898, _23896)))], (62 ^ _22158) ^ [_24313, _24315, _24317, _24319] : [distinct_points(_24319, _24317), distinct_lines(_24315, _24313), -(apart_point_and_line(_24319, _24315)), -(apart_point_and_line(_24319, _24313)), -(apart_point_and_line(_24317, _24315)), -(apart_point_and_line(_24317, _24313))], (84 ^ _22158) ^ [_24942, _24944, _24946] : [apart_point_and_line(_24946, _24944), -(distinct_points(_24946, _24942)), -(apart_point_and_line(_24942, _24944))], (104 ^ _22158) ^ [_25556, _25558] : [convergent_lines(_25558, _25556), -(distinct_lines(_25558, _25556))], (94 ^ _22158) ^ [_25266, _25268, _25270] : [apart_point_and_line(_25270, _25268), -(distinct_lines(_25268, _25266)), -(apart_point_and_line(_25270, _25266))]], input).
% 0.34/1.41 ncf('1',plain,[distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 109 ^ [])), distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 110 ^ []))],start(117 ^ 0)).
% 0.34/1.41 ncf('1.1',plain,[-(distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 109 ^ []))), apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])), -(apart_point_and_line(111 ^ [], line_connecting(111 ^ [], 109 ^ [])))],extension(94 ^ 1,bind([[_25266, _25268, _25270], [line_connecting(111 ^ [], 109 ^ []), line_connecting(109 ^ [], 110 ^ []), 111 ^ []]]))).
% 0.34/1.41 ncf('1.1.1',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(115 ^ 2)).
% 0.34/1.41 ncf('1.1.2',plain,[apart_point_and_line(111 ^ [], line_connecting(111 ^ [], 109 ^ [])), distinct_points(111 ^ [], 109 ^ []), 46 : -(distinct_points(111 ^ [], 111 ^ []))],extension(38 ^ 2,bind([[_23488, _23490, _23492], [111 ^ [], 109 ^ [], 111 ^ []]]))).
% 0.34/1.41 ncf('1.1.2.1',plain,[-(distinct_points(111 ^ [], 109 ^ [])), distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))],extension(38 ^ 3,bind([[_23488, _23490, _23492], [111 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.34/1.41 ncf('1.1.2.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 0.34/1.41 ncf('1.1.2.1.2',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],lemmata('[1].x')).
% 0.34/1.41 ncf('1.1.2.2',plain,[distinct_points(111 ^ [], 111 ^ [])],extension(2 ^ 5,bind([[_22241], [111 ^ []]]))).
% 0.34/1.41 ncf('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 ^ 1,bind([[_25266, _25268, _25270], [line_connecting(111 ^ [], 110 ^ []), line_connecting(109 ^ [], 110 ^ []), 111 ^ []]]))).
% 0.34/1.41 ncf('1.2.1',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(115 ^ 2)).
% 0.34/1.41 ncf('1.2.2',plain,[apart_point_and_line(111 ^ [], line_connecting(111 ^ [], 110 ^ [])), distinct_points(111 ^ [], 110 ^ []), 46 : -(distinct_points(111 ^ [], 111 ^ []))],extension(38 ^ 2,bind([[_23488, _23490, _23492], [111 ^ [], 110 ^ [], 111 ^ []]]))).
% 0.34/1.41 ncf('1.2.2.1',plain,[-(distinct_points(111 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))],extension(38 ^ 3,bind([[_23488, _23490, _23492], [111 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.34/1.41 ncf('1.2.2.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 0.34/1.41 ncf('1.2.2.1.2',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],lemmata('[1].x')).
% 0.34/1.41 ncf('1.2.2.2',plain,[distinct_points(111 ^ [], 111 ^ [])],extension(2 ^ 5,bind([[_22241], [111 ^ []]]))).
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.41 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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