TSTP Solution File: GEO200+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO200+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n026.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 0.36s 1.41s
% Output : Proof 0.36s
% 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 : GEO200+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14 % Command : nanocop.sh %s %d
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 19 04:41:50 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.36/1.41
% 0.36/1.41 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.36/1.41 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.41 ncf(matrix, plain, [(112 ^ _21045) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (114 ^ _21045) ^ [] : [-(distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(110 ^ [], 109 ^ [])))], (2 ^ _21045) ^ [_21128] : [distinct_points(_21128, _21128)], (4 ^ _21045) ^ [_21205] : [distinct_lines(_21205, _21205)], (6 ^ _21045) ^ [_21282] : [convergent_lines(_21282, _21282)], (8 ^ _21045) ^ [_21403, _21405, _21407] : [distinct_points(_21407, _21405), -(distinct_points(_21407, _21403)), -(distinct_points(_21405, _21403))], (18 ^ _21045) ^ [_21727, _21729, _21731] : [distinct_lines(_21731, _21729), -(distinct_lines(_21731, _21727)), -(distinct_lines(_21729, _21727))], (28 ^ _21045) ^ [_22051, _22053, _22055] : [convergent_lines(_22055, _22053), -(convergent_lines(_22055, _22051)), -(convergent_lines(_22053, _22051))], (38 ^ _21045) ^ [_22375, _22377, _22379] : [distinct_points(_22379, _22377), apart_point_and_line(_22375, line_connecting(_22379, _22377)), 45 ^ _21045 : [(46 ^ _21045) ^ [] : [-(distinct_points(_22375, _22379))], (48 ^ _21045) ^ [] : [-(distinct_points(_22375, _22377))]]], (50 ^ _21045) ^ [_22781, _22783, _22785] : [convergent_lines(_22785, _22783), 55 ^ _21045 : [(56 ^ _21045) ^ [] : [apart_point_and_line(_22781, _22785)], (58 ^ _21045) ^ [] : [apart_point_and_line(_22781, _22783)]], -(distinct_points(_22781, intersection_point(_22785, _22783)))], (62 ^ _21045) ^ [_23200, _23202, _23204, _23206] : [distinct_points(_23206, _23204), distinct_lines(_23202, _23200), -(apart_point_and_line(_23206, _23202)), -(apart_point_and_line(_23206, _23200)), -(apart_point_and_line(_23204, _23202)), -(apart_point_and_line(_23204, _23200))], (84 ^ _21045) ^ [_23829, _23831, _23833] : [apart_point_and_line(_23833, _23831), -(distinct_points(_23833, _23829)), -(apart_point_and_line(_23829, _23831))], (104 ^ _21045) ^ [_24443, _24445] : [convergent_lines(_24445, _24443), -(distinct_lines(_24445, _24443))], (94 ^ _21045) ^ [_24153, _24155, _24157] : [apart_point_and_line(_24157, _24155), -(distinct_lines(_24155, _24153)), -(apart_point_and_line(_24157, _24153))]], input).
% 0.36/1.41 ncf('1',plain,[distinct_points(109 ^ [], 109 ^ [])],start(2 ^ 0,bind([[_21128], [109 ^ []]]))).
% 0.36/1.41 ncf('1.1',plain,[-(distinct_points(109 ^ [], 109 ^ [])), distinct_points(109 ^ [], 110 ^ []), -(distinct_points(110 ^ [], 109 ^ []))],extension(8 ^ 1,bind([[_21403, _21405, _21407], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.36/1.41 ncf('1.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(112 ^ 2)).
% 0.36/1.41 ncf('1.1.2',plain,[distinct_points(110 ^ [], 109 ^ []), -(distinct_points(110 ^ [], 110 ^ [])), -(distinct_points(109 ^ [], 110 ^ []))],extension(8 ^ 2,bind([[_21403, _21405, _21407], [110 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.36/1.41 ncf('1.1.2.1',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 3,bind([[_21128], [110 ^ []]]))).
% 0.36/1.41 ncf('1.1.2.2',plain,[distinct_points(109 ^ [], 110 ^ []), distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(110 ^ [], 109 ^ [])), -(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(109 ^ [], line_connecting(110 ^ [], 109 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(110 ^ [], 109 ^ [])))],extension(62 ^ 3,bind([[_23200, _23202, _23204, _23206], [line_connecting(110 ^ [], 109 ^ []), line_connecting(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.36/1.41 ncf('1.1.2.2.1',plain,[-(distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(110 ^ [], 109 ^ [])))],extension(114 ^ 4)).
% 0.36/1.41 ncf('1.1.2.2.2',plain,[apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 4,bind([[_22375, _22377, _22379], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.36/1.41 ncf('1.1.2.2.2.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.36/1.41 ncf('1.1.2.2.2.2',plain,[distinct_points(109 ^ [], 109 ^ [])],reduction('1')).
% 0.36/1.41 ncf('1.1.2.2.3',plain,[apart_point_and_line(109 ^ [], line_connecting(110 ^ [], 109 ^ [])), distinct_points(110 ^ [], 109 ^ []), 48 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 4,bind([[_22375, _22377, _22379], [109 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.36/1.41 ncf('1.1.2.2.3.1',plain,[-(distinct_points(110 ^ [], 109 ^ []))],reduction('1.1')).
% 0.36/1.41 ncf('1.1.2.2.3.2',plain,[distinct_points(109 ^ [], 109 ^ [])],reduction('1')).
% 0.36/1.41 ncf('1.1.2.2.4',plain,[apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 4,bind([[_22375, _22377, _22379], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.36/1.41 ncf('1.1.2.2.4.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.36/1.41 ncf('1.1.2.2.4.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[1, 1].x')).
% 0.36/1.41 ncf('1.1.2.2.5',plain,[apart_point_and_line(110 ^ [], line_connecting(110 ^ [], 109 ^ [])), distinct_points(110 ^ [], 109 ^ []), 46 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 4,bind([[_22375, _22377, _22379], [110 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.36/1.41 ncf('1.1.2.2.5.1',plain,[-(distinct_points(110 ^ [], 109 ^ []))],reduction('1.1')).
% 0.36/1.41 ncf('1.1.2.2.5.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[1, 1].x')).
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.41 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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